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http://theory.fnal.gov/people/kronfeld/TeX/mPole/ | ## The Perturbative Pole Mass in QCD
by Andreas S. Kronfeld.
Fermilab report FERMILAB-PUB-98/139-T
SPIRES entry
E-print archive hep-ph/9805215
### Some Background
Many physicists are probably astonished that a proof of the infrared finiteness and gauge independence of the pole mass in QCD is being written up in 1998. If you are one of them, please read the following before assuming that the results have long been known.
This paper grew out of Referee A's report on another paper of mine, hep-lat/9712024, written with Bart Mertens and Aida El-Khadra and submitted to (and published in) Physical Review D. The referee wrote
2) The authors assume that the pole mass of a quark is a well-defined concept order by order in perturbation theory. To the best of my knowledge this has not been shown in the literature. It has been demonstrated that the pole mass is infrared finite and gauge invariant to order $\alpha^2$~[C], and the corresponding finite part in the relation to the $\overline{\rm MS}$ mass has been worked out in ref.~[D].
It is quite possible that infrared problems prevent a definition of the quark's pole mass to all orders in perturbation theory....
[C] R. Tarrach, Nucl. Phys. B183 (1981) 384.
[D] N. Gray, D.J. Broadhurst, W. Grafe and K. Schilcher, Z. Phys. C 48, 673 (1990).
Let me add that other parts of the report revealed that Referee A is exceptionally well-informed on theoretical issues. It turns out, he/she also knows the literature better than most of us.
After considerable literature search I could not find a proof anywhere. During my search I found numerous authors who assert that the pole mass is, indeed, well-defined order by order in perturbation theory. Many papers cite Tarrach's paper for an all-orders proof, even though it sticks to two loops. Indeed, Tarrach is openly worried about the infrared. He writes [italics mine]
It may be evident to many theorists that the pole-mass is gauge-parameter independent in perturbative QCD, but it is less evident whether it is IR finite or not. Let us study these issues at the two loop level.
When Tarrach did his work, in 1981, there had been an effort to uncover a confining mechanism in the infrared divergences of QCD, so his concerns are a sign of the times.
In trying to trace the history of the QCD pole mass, I've noticed two folklores, which have evolved side-by-side. One, espoused by Referee A, holds that infrared divergences in QCD are so serious that nothing can be taken for granted. The other, which is nowadays probably more popular, takes for granted that the pole mass is infrared finite. (I have found no citation to a paper, even one on QED, that purports to study the problem to all orders; a remark in a footnote shows that Noboru Nakanishi knew what to do [Prog. Theor. Phys. 19 (1958) 159].)
I realize that some of you will have known the QED literature well enough to see that the generalization to QCD was straightforward. I would be happy to acknowledge unpublished work on the subject here: feel free to send me a copy of your notes. (Of course, it goes without saying that I would like to know of a detailed published reference.) At the same time, I hope that my paper serves as a useful reference, underpinning the (now publicly proven) fact that the pole mass in QCD is well defined at every order in perturbation theory.
During the time this paper was circulated as an e-print, several physicists from around the world alerted me to proofs of gauge independence of the pole mass, in QED and QCD, and of analogous quantities such as gluon damping rates at nonzero temperature. By and large, these papers do not pay close attention to infrared divergences. An exception is in Lowell Brown's text, Quantum Field Theory, which contains an elegant proof that infrared divergences and gauge dependence of the electron propagator (in QED) resides in the residue only, not the pole position. The proof is relegated to a problem and is, thus, easy to overlook. The proof assumes an Abelian gauge group, and I have not tried to generalize it.
Finally, I would also like to thank Referee A; without his/her strict report, I would not have tried to prove something that so many experts'' thought was done in 1981.
01 May 1998 --- Andreas Kronfeld [email protected]
Modified 29 July 1998 | 2014-04-24T10:57:56 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8596415519714355, "perplexity": 807.252566850113}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2014-15/segments/1398223206120.9/warc/CC-MAIN-20140423032006-00568-ip-10-147-4-33.ec2.internal.warc.gz"} |
https://pos.sissa.it/396/293/ | Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
An update on QCD+QED simulations with C* boundary conditions
J. Luecke*, L. Bushnaq, I. Campos, M. Catillo, A. Cotellucci, M.E.B. Dale, P. Fritzsch, M.K. Marinkovic, A. Patella and N. Tantalo
Full text: pdf
Pre-published on: May 16, 2022
Published on:
Abstract
We present two novelties in our analysis of fully dynamical QCD+QED ensembles with C* boundary conditions. The first one is the explicit computation of the sign of the Pfaffian. We present an algorithm that provides a significant speedup compared to traditional methods. The second one is a reweighting of the mass in the context of the RHMC. We have tested the techniques on both pure QCD and QCD+QED ensembles with pions at $m_{\pi^\pm}\approx400$ MeV, a lattice spacing of $a\approx0.05$ fm, a fine-structure constant of $\alpha_{\mathrm{R}}=0$ and $0.04$.
DOI: https://doi.org/10.22323/1.396.0293
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.
Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | 2022-06-28T05:37:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.334401398897171, "perplexity": 1830.6569644033973}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 5, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656103355949.26/warc/CC-MAIN-20220628050721-20220628080721-00089.warc.gz"} |
https://zbmath.org/authors/?q=ai%3Ahamkins.joel-david | # zbMATH — the first resource for mathematics
## Hamkins, Joel David
Compute Distance To:
Author ID: hamkins.joel-david Published as: Hamkins, Joel; Hamkins, Joel D.; Hamkins, Joel David Homepage: http://jdh.hamkins.org/ External Links: MGP · Wikidata · MathOverflow · ORCID · dblp
Documents Indexed: 88 Publications since 1994, including 2 Books
all top 5
#### Co-Authors
24 single-authored 7 Apter, Arthur W. 7 Gitman, Victoria 6 Fuchs, Gunter 6 Miller, Russell G. 5 Johnstone, Thomas A. 4 Reitz, Jonas 3 Coskey, Samuel 3 Löwe, Benedikt 3 Woodin, W. Hugh 2 Brendle, Jörg 2 Brian, William Rea 2 Cummings, James 2 Greenberg, Noam 2 Hirschfeldt, Denis Roman 2 Linetsky, David 2 Schindler, Ralf-Dieter 2 Seabold, Daniel Evan 1 Bagaria, Joan 1 Barton, Neil 1 Blair, D. Dakota 1 Blass, Andreas Raphael 1 Brumleve, Dan 1 Caicedo, Andrés Eduardo 1 Cheng, Yong 1 Cody, Brent M. 1 Daghighi, Ali Sadegh 1 Deolalikar, Vinay 1 Dorais, François Gilbert 1 Džamonja, Mirna 1 Enayat, Ali 1 Evans, C. D. A. 1 Friedman, Sy-David 1 Gitik, Moti 1 Godziszewski, Michał Tomasz 1 Golshani, Mohammad 1 Groszek, Marcia J. 1 Habič, Miha Emerik 1 Hardy, Michael 1 Jeřábek, Emil 1 Kikuchi, Makoto 1 Kirmayer, Greg 1 Klausner, Lukas Daniel 1 Larson, Paul B. 1 Leahy, Cole 1 Leibman, George 1 Lewis, Andrew D. 1 Lewis, Andy 1 Miller, Russel G. 1 Myasnikov, Alexei G. 1 O’Bryant, Kevin 1 Palumbo, Justin 1 Perlmutter, Norman Lewis 1 Schanker, Jason Aaron 1 Schlicht, Philipp 1 Shelah, Saharon 1 Thomas, Simon R. 1 Tsaprounis, Konstantinos 1 Usuba, Toshimichi 1 Verner, Jonathan L. 1 Warner, Steve 1 Welch, Philip D. 1 Williams, Kameryn J.
all top 5
#### Serials
14 The Journal of Symbolic Logic 9 Archive for Mathematical Logic 9 Mathematical Logic Quarterly (MLQ) 8 Annals of Pure and Applied Logic 7 Notre Dame Journal of Formal Logic 5 Proceedings of the American Mathematical Society 2 Israel Journal of Mathematics 2 Fundamenta Mathematicae 2 Transactions of the American Mathematical Society 2 Integers 1 Annals of the Japan Association for Philosophy of Science 1 Studia Logica 1 Kobe Journal of Mathematics 1 Journal of Logic and Computation 1 1 The Bulletin of Symbolic Logic 1 Journal of Mathematical Logic 1 Logic and Logical Philosophy 1 Central European Journal of Mathematics 1 Lecture Notes in Logic 1 The Review of Symbolic Logic 1 Computability
all top 5
#### Fields
85 Mathematical logic and foundations (03-XX) 7 Computer science (68-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX)
#### Citations contained in zbMATH
72 Publications have been cited 648 times in 321 Documents Cited by Year
Infinite time Turing machines. Zbl 0963.03064
Hamkins, Joel David; Lewis, Andy
2000
Extensions with the approximation and cover properties have no new large cardinals. Zbl 1066.03052
Hamkins, Joel David
2003
The lottery preparation. Zbl 0949.03045
Hamkins, Joel David
2000
Gap forcing: Generalizing the Lévy-Solovay theorem. Zbl 0933.03067
Hamkins, Joel David
1999
Gap forcing. Zbl 1010.03042
Hamkins, Joel David
2001
Set-theoretic geology. Zbl 1348.03051
Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas
2015
What is the theory ZFC without power set? Zbl 1375.03059
Gitman, Victoria; Hamkins, Joel David; Johnstone, Thomas A.
2016
The set-theoretic multiverse. Zbl 1260.03103
Hamkins, Joel David
2012
The modal logic of forcing. Zbl 1139.03039
Hamkins, Joel David; Löwe, Benedikt
2008
The halting problem is decidable on a set of asymptotic probability one. Zbl 1137.03024
Hamkins, Joel David; Miasnikov, Alexei
2006
A simple maximality principle. Zbl 1056.03028
Hamkins, Joel David
2003
Small forcing creates neither strong nor Woodin cardinals. Zbl 0959.03040
Hamkins, Joel David; Woodin, W. Hugh
2000
Indestructibility and the level-by-level agreement between strong compactness and supercompactness. Zbl 1010.03043
Apter, Arthur W.; Hamkins, Joel David
2002
Fragile measurability. Zbl 0796.03054
Hamkins, Joel
1994
Resurrection axioms and uplifting cardinals. Zbl 1351.03043
Hamkins, Joel David; Johnstone, Thomas A.
2014
Destruction or preservation as you like it. Zbl 0949.03047
Hamkins, Joel David
1998
Small forcing makes any cardinal superdestructible. Zbl 0906.03051
Hamkins, Joel David
1998
Tall cardinals. Zbl 1165.03044
Hamkins, Joel D.
2009
Infinite time Turing machines. Zbl 1030.68036
Hamkins, Joel David
2002
Superstrong and other large cardinals are never Laver indestructible. Zbl 1402.03073
Bagaria, Joan; Hamkins, Joel David; Tsaprounis, Konstantinos; Usuba, Toshimichi
2016
Indestructible strong unfoldability. Zbl 1207.03057
Hamkins, Joel David; Johnstone, Thomas A.
2010
Generalizations of the Kunen inconsistency. Zbl 1270.03100
Hamkins, Joel David; Kirmayer, Greg; Perlmutter, Norman Lewis
2012
Diamond (on the regulars) can fail at any strongly unfoldable cardinal. Zbl 1110.03032
Džamonja, Mirna; Hamkins, Joel David
2006
Superdestructibility: A dual to Laver’s indestructibility. Zbl 0921.03051
Hamkins, Joel David; Shelah, Saharon
1998
The hierarchy of equivalence relations on the natural numbers under computable reducibility. Zbl 1325.03049
Coskey, Amuel; Hamkins, Joel David; Miller, Russell
2012
The ground axiom is consistent with $$V \neq \text{HOD}$$. Zbl 1145.03029
Hamkins, Joel David; Reitz, Jonas; Woodin, W. Hugh
2008
Large cardinals with few measures. Zbl 1115.03075
Apter, Arthur W.; Cummings, James; Hamkins, Joel David
2007
The Necessary Maximality Principle for c.c.c. forcing is equiconsistent with a weakly compact cardinal. Zbl 1078.03042
Hamkins, Joel D.; Woodin, W. Hugh
2005
Indestructible weakly compact cardinals and the necessity of supercompactness for certain proof schemata. Zbl 0992.03064
Apter, Arthur W.; Hamkins, Joel David
2001
Universal indestructibility. Zbl 0953.03060
Apter, Arthur W.; Hamkins, Joel David
1999
Canonical seeds and Prikry trees. Zbl 0890.03024
Hamkins, Joel David
1997
The wholeness axioms and V=HOD. Zbl 0969.03063
Hamkins, Joel David
2001
A natural model of the multiverse axioms. Zbl 1214.03035
Gitman, Victoria; Hamkins, Joel David
2010
Post’s problem for supertasks has both positive and negative solutions. Zbl 1024.03043
Hamkins, Joel David; Lewis, Andrew
2002
Infinite time Turing machines with only one tape. Zbl 0990.03031
Hamkins, Joel David; Seabold, Daniel Evan
2001
Effective mathematics of the uncountable. Zbl 1297.03006
Greenberg, Noam (ed.); Hamkins, Joel David (ed.); Hirschfeldt, Denis (ed.); Miller, Russell (ed.)
2013
Degrees of rigidity for Souslin trees. Zbl 1179.03043
Fuchs, Gunter; Hamkins, Joel David
2009
Exactly controlling the non-supercompact strongly compact cardinals. Zbl 1056.03030
Apter, Arthur W.; Hamkins, Joel David
2003
Unfoldable cardinals and the GCH. Zbl 1025.03051
Hamkins, Joel David
2001
Strongly uplifting cardinals and the boldface resurrection axioms. Zbl 1417.03269
Hamkins, Joel David; Johnstone, Thomas A.
2017
Moving up and down in the generic multiverse. Zbl 1303.03078
Hamkins, Joel David; Löwe, Benedikt
2013
Infinite time decidable equivalence relation theory. Zbl 1233.03050
Coskey, Samuel; Hamkins, Joel David
2011
P$$\neq \text{NP}\cap$$co-NP for infinite time Turing machines. Zbl 1089.68043
Deolalikar, Vinay; Hamkins, Joel David; Schindler, Ralf
2005
Changing the heights of automorphism towers. Zbl 0944.03048
Hamkins, Joel David; Thomas, Simon
2000
Algebraicity and implicit definability in set theory. Zbl 1436.03264
Hamkins, Joel David; Leahy, Cole
2016
Structural connections between a forcing class and its modal logic. Zbl 1367.03095
Hamkins, Joel David; Leibman, George; Löwe, Benedikt
2015
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $$\theta$$-supercompact. Zbl 1360.03082
Cody, Brent; Gitik, Moti; Hamkins, Joel David; Schanker, Jason A.
2015
Every countable model of set theory embeds into its own constructible universe. Zbl 1326.03046
Hamkins, Joel David
2013
Pointwise definable models of set theory. Zbl 1270.03101
Hamkins, Joel David; Linetsky, David; Reitz, Jonas
2013
Inner models with large cardinal features usually obtained by forcing. Zbl 1250.03104
Apter, Arthur W.; Gitman, Victoria; Hamkins, Joel David
2012
Some second order set theory. Zbl 1209.03045
Hamkins, Joel David
2009
Every group has a terminating transfinite automorphism tower. Zbl 0904.20027
Hamkins, Joel David
1998
A model of the generic Vopěnka principle in which the ordinals are not Mahlo. Zbl 07006136
Gitman, Victoria; Hamkins, Joel David
2019
A multiverse perspective on the axiom of constructibility. Zbl 1321.03061
Hamkins, Joel David
2014
Transfinite game values in infinite chess. Zbl 1369.03118
Evans, C. D. A.; Hamkins, Joel David
2014
The proper and semi-proper forcing axioms for forcing notions that preserve $$\aleph_2$$ or $$\aleph_3$$. Zbl 1166.03030
Hamkins, Joel David; Johnstone, Thomas A.
2009
Changing the heights of automorphism towers by forcing with Souslin trees over L. Zbl 1153.03026
Fuchs, Gunter; Hamkins, Joel David
2008
A survey of infinite time Turing machines. Zbl 1211.03060
Hamkins, Joel David
2007
Post’s problem for ordinal register machines. Zbl 1151.03339
Hamkins, Joel D.; Miller, Russell G.
2007
The rearrangement number. Zbl 07144584
Blass, Andreas; Brendle, Jörg; Brian, Will; Hamkins, Joel David; Hardy, Michael; Larson, Paul B.
2020
ZFC proves that the class of ordinals is not weakly compact for definable classes. Zbl 1447.03016
Enayat, Ali; Hamkins, Joel David
2018
Open determinacy for class games. Zbl 1423.03200
Gitman, Victoria; Hamkins, Joel David
2017
Large cardinals need not be large in HOD. Zbl 1373.03109
Cheng, Yong; Friedman, Sy-David; Hamkins, Joel David
2015
Is the dream solution of the continuum hypothesis attainable? Zbl 1331.03034
Hamkins, Joel David
2015
The rigid relation principle, a new weak choice principle. Zbl 1268.03067
Hamkins, Joel David; Palumbo, Justin
2012
The mate-in-$$n$$ problem of infinite chess is decidable. Zbl 1357.03042
Brumleve, Dan; Hamkins, Joel David; Schlicht, Philipp
2012
The set-theoretic multiverse: a natural context for set theory. Zbl 1274.03076
Hamkins, Joel David
2011
Post’s problem for ordinal register machines: an explicit approach. Zbl 1178.03060
Hamkins, Joel David; Miller, Russell G.
2009
The complexity of quickly ORM-decidable sets. Zbl 1150.03321
Hamkins, Joel D.; Linetsky, David; Miller, Russell
2007
Infinitary computability with infinite time Turing machines. Zbl 1113.68399
Hamkins, Joel David
2005
$$\text P^f\neq\text{NP}^{f}$$ for almost all $$f$$. Zbl 1043.03036
Hamkins, Joel David; Welch, Philip D.
2003
How tall is the automorphism tower of a group? Zbl 1012.20034
Hamkins, Joel David
2002
The rearrangement number. Zbl 07144584
Blass, Andreas; Brendle, Jörg; Brian, Will; Hamkins, Joel David; Hardy, Michael; Larson, Paul B.
2020
A model of the generic Vopěnka principle in which the ordinals are not Mahlo. Zbl 07006136
Gitman, Victoria; Hamkins, Joel David
2019
ZFC proves that the class of ordinals is not weakly compact for definable classes. Zbl 1447.03016
Enayat, Ali; Hamkins, Joel David
2018
Strongly uplifting cardinals and the boldface resurrection axioms. Zbl 1417.03269
Hamkins, Joel David; Johnstone, Thomas A.
2017
Open determinacy for class games. Zbl 1423.03200
Gitman, Victoria; Hamkins, Joel David
2017
What is the theory ZFC without power set? Zbl 1375.03059
Gitman, Victoria; Hamkins, Joel David; Johnstone, Thomas A.
2016
Superstrong and other large cardinals are never Laver indestructible. Zbl 1402.03073
Bagaria, Joan; Hamkins, Joel David; Tsaprounis, Konstantinos; Usuba, Toshimichi
2016
Algebraicity and implicit definability in set theory. Zbl 1436.03264
Hamkins, Joel David; Leahy, Cole
2016
Set-theoretic geology. Zbl 1348.03051
Fuchs, Gunter; Hamkins, Joel David; Reitz, Jonas
2015
Structural connections between a forcing class and its modal logic. Zbl 1367.03095
Hamkins, Joel David; Leibman, George; Löwe, Benedikt
2015
The least weakly compact cardinal can be unfoldable, weakly measurable and nearly $$\theta$$-supercompact. Zbl 1360.03082
Cody, Brent; Gitik, Moti; Hamkins, Joel David; Schanker, Jason A.
2015
Large cardinals need not be large in HOD. Zbl 1373.03109
Cheng, Yong; Friedman, Sy-David; Hamkins, Joel David
2015
Is the dream solution of the continuum hypothesis attainable? Zbl 1331.03034
Hamkins, Joel David
2015
Resurrection axioms and uplifting cardinals. Zbl 1351.03043
Hamkins, Joel David; Johnstone, Thomas A.
2014
A multiverse perspective on the axiom of constructibility. Zbl 1321.03061
Hamkins, Joel David
2014
Transfinite game values in infinite chess. Zbl 1369.03118
Evans, C. D. A.; Hamkins, Joel David
2014
Effective mathematics of the uncountable. Zbl 1297.03006
Greenberg, Noam (ed.); Hamkins, Joel David (ed.); Hirschfeldt, Denis (ed.); Miller, Russell (ed.)
2013
Moving up and down in the generic multiverse. Zbl 1303.03078
Hamkins, Joel David; Löwe, Benedikt
2013
Every countable model of set theory embeds into its own constructible universe. Zbl 1326.03046
Hamkins, Joel David
2013
Pointwise definable models of set theory. Zbl 1270.03101
Hamkins, Joel David; Linetsky, David; Reitz, Jonas
2013
The set-theoretic multiverse. Zbl 1260.03103
Hamkins, Joel David
2012
Generalizations of the Kunen inconsistency. Zbl 1270.03100
Hamkins, Joel David; Kirmayer, Greg; Perlmutter, Norman Lewis
2012
The hierarchy of equivalence relations on the natural numbers under computable reducibility. Zbl 1325.03049
Coskey, Amuel; Hamkins, Joel David; Miller, Russell
2012
Inner models with large cardinal features usually obtained by forcing. Zbl 1250.03104
Apter, Arthur W.; Gitman, Victoria; Hamkins, Joel David
2012
The rigid relation principle, a new weak choice principle. Zbl 1268.03067
Hamkins, Joel David; Palumbo, Justin
2012
The mate-in-$$n$$ problem of infinite chess is decidable. Zbl 1357.03042
Brumleve, Dan; Hamkins, Joel David; Schlicht, Philipp
2012
Infinite time decidable equivalence relation theory. Zbl 1233.03050
Coskey, Samuel; Hamkins, Joel David
2011
The set-theoretic multiverse: a natural context for set theory. Zbl 1274.03076
Hamkins, Joel David
2011
Indestructible strong unfoldability. Zbl 1207.03057
Hamkins, Joel David; Johnstone, Thomas A.
2010
A natural model of the multiverse axioms. Zbl 1214.03035
Gitman, Victoria; Hamkins, Joel David
2010
Tall cardinals. Zbl 1165.03044
Hamkins, Joel D.
2009
Degrees of rigidity for Souslin trees. Zbl 1179.03043
Fuchs, Gunter; Hamkins, Joel David
2009
Some second order set theory. Zbl 1209.03045
Hamkins, Joel David
2009
The proper and semi-proper forcing axioms for forcing notions that preserve $$\aleph_2$$ or $$\aleph_3$$. Zbl 1166.03030
Hamkins, Joel David; Johnstone, Thomas A.
2009
Post’s problem for ordinal register machines: an explicit approach. Zbl 1178.03060
Hamkins, Joel David; Miller, Russell G.
2009
The modal logic of forcing. Zbl 1139.03039
Hamkins, Joel David; Löwe, Benedikt
2008
The ground axiom is consistent with $$V \neq \text{HOD}$$. Zbl 1145.03029
Hamkins, Joel David; Reitz, Jonas; Woodin, W. Hugh
2008
Changing the heights of automorphism towers by forcing with Souslin trees over L. Zbl 1153.03026
Fuchs, Gunter; Hamkins, Joel David
2008
Large cardinals with few measures. Zbl 1115.03075
Apter, Arthur W.; Cummings, James; Hamkins, Joel David
2007
A survey of infinite time Turing machines. Zbl 1211.03060
Hamkins, Joel David
2007
Post’s problem for ordinal register machines. Zbl 1151.03339
Hamkins, Joel D.; Miller, Russell G.
2007
The complexity of quickly ORM-decidable sets. Zbl 1150.03321
Hamkins, Joel D.; Linetsky, David; Miller, Russell
2007
The halting problem is decidable on a set of asymptotic probability one. Zbl 1137.03024
Hamkins, Joel David; Miasnikov, Alexei
2006
Diamond (on the regulars) can fail at any strongly unfoldable cardinal. Zbl 1110.03032
Džamonja, Mirna; Hamkins, Joel David
2006
The Necessary Maximality Principle for c.c.c. forcing is equiconsistent with a weakly compact cardinal. Zbl 1078.03042
Hamkins, Joel D.; Woodin, W. Hugh
2005
P$$\neq \text{NP}\cap$$co-NP for infinite time Turing machines. Zbl 1089.68043
Deolalikar, Vinay; Hamkins, Joel David; Schindler, Ralf
2005
Infinitary computability with infinite time Turing machines. Zbl 1113.68399
Hamkins, Joel David
2005
Extensions with the approximation and cover properties have no new large cardinals. Zbl 1066.03052
Hamkins, Joel David
2003
A simple maximality principle. Zbl 1056.03028
Hamkins, Joel David
2003
Exactly controlling the non-supercompact strongly compact cardinals. Zbl 1056.03030
Apter, Arthur W.; Hamkins, Joel David
2003
$$\text P^f\neq\text{NP}^{f}$$ for almost all $$f$$. Zbl 1043.03036
Hamkins, Joel David; Welch, Philip D.
2003
Indestructibility and the level-by-level agreement between strong compactness and supercompactness. Zbl 1010.03043
Apter, Arthur W.; Hamkins, Joel David
2002
Infinite time Turing machines. Zbl 1030.68036
Hamkins, Joel David
2002
Post’s problem for supertasks has both positive and negative solutions. Zbl 1024.03043
Hamkins, Joel David; Lewis, Andrew
2002
How tall is the automorphism tower of a group? Zbl 1012.20034
Hamkins, Joel David
2002
Gap forcing. Zbl 1010.03042
Hamkins, Joel David
2001
Indestructible weakly compact cardinals and the necessity of supercompactness for certain proof schemata. Zbl 0992.03064
Apter, Arthur W.; Hamkins, Joel David
2001
The wholeness axioms and V=HOD. Zbl 0969.03063
Hamkins, Joel David
2001
Infinite time Turing machines with only one tape. Zbl 0990.03031
Hamkins, Joel David; Seabold, Daniel Evan
2001
Unfoldable cardinals and the GCH. Zbl 1025.03051
Hamkins, Joel David
2001
Infinite time Turing machines. Zbl 0963.03064
Hamkins, Joel David; Lewis, Andy
2000
The lottery preparation. Zbl 0949.03045
Hamkins, Joel David
2000
Small forcing creates neither strong nor Woodin cardinals. Zbl 0959.03040
Hamkins, Joel David; Woodin, W. Hugh
2000
Changing the heights of automorphism towers. Zbl 0944.03048
Hamkins, Joel David; Thomas, Simon
2000
Gap forcing: Generalizing the Lévy-Solovay theorem. Zbl 0933.03067
Hamkins, Joel David
1999
Universal indestructibility. Zbl 0953.03060
Apter, Arthur W.; Hamkins, Joel David
1999
Destruction or preservation as you like it. Zbl 0949.03047
Hamkins, Joel David
1998
Small forcing makes any cardinal superdestructible. Zbl 0906.03051
Hamkins, Joel David
1998
Superdestructibility: A dual to Laver’s indestructibility. Zbl 0921.03051
Hamkins, Joel David; Shelah, Saharon
1998
Every group has a terminating transfinite automorphism tower. Zbl 0904.20027
Hamkins, Joel David
1998
Canonical seeds and Prikry trees. Zbl 0890.03024
Hamkins, Joel David
1997
Fragile measurability. Zbl 0796.03054
Hamkins, Joel
1994
all top 5
#### Cited by 243 Authors
43 Apter, Arthur W. 37 Hamkins, Joel David 14 Fuchs, Gunter 13 Friedman, Sy-David 12 Carl, Merlin 9 Gitman, Victoria 8 Cody, Brent M. 8 Schlicht, Philipp 7 Lücke, Philipp Moritz 7 Rybalov, Aleksandr Nikolaevich 7 Sargsyan, Grigor 6 Honzik, Radek 6 Koepke, Peter 6 Tsaprounis, Konstantinos 6 Welch, Philip D. 5 Antos, Carolin 5 Johnstone, Thomas A. 5 Löwe, Benedikt 5 Schindler, Ralf-Dieter 4 Ben-Neria, Omer 4 Bringsjord, Selmer 4 Cheng, Yong 4 Corazza, Paul 4 Kanovei, Vladimir G. 4 Krueger, John 4 Myasnikov, Alexei G. 4 Perlmutter, Norman Lewis 4 Reitz, Jonas 4 Usuba, Toshimichi 4 Viale, Matteo 3 Barton, Neil 3 Cox, Sean D. 3 Cummings, James 3 Friedman, Shoshana 3 Gitik, Moti 3 Khoussainov, Bakhadyr M. 3 Lubarsky, Robert S. 3 Mitchell, William John 3 Monin, Benoît 3 Ng, KengMeng 3 Rin, Benjamin G. 3 Sorbi, Andrea 3 Wilson, Trevor Miles 3 Woodin, W. Hugh 2 Andrews, Uri 2 Bazhenov, Nikolaĭ Alekseevich 2 Brooke-Taylor, Andrew D. 2 Burgin, Mark 2 Calude, Cristian S. 2 Coskey, Samuel 2 d’Auriac, Paul-Elliot Anglès 2 Desfontaines, Damien 2 Dimonte, Vincenzo 2 Durand, Bruno 2 Govindarajulu, Naveen Sundar 2 Habič, Miha Emerik 2 Köllner, Peter 2 Lafitte, Grégory 2 Meadows, Toby 2 Miller, Russell G. 2 Osin, Denis V. 2 Potgieter, Petrus H. 2 Sakai, Hiroshi 2 Schanker, Jason Aaron 2 Schweber, Noah David 2 Shagrir, Oron 2 Shelah, Saharon 2 Siders, Ryan 2 Stephan, Frank 2 Ternullo, Claudio 2 Venturi, Giorgio 2 Welch, Peter D. 2 Wiedermann, Jiří 2 Williams, Kameryn J. 2 Ziegler, Martin 1 Ackerman, Nathanael Leedom 1 Akl, Selim G. 1 Arkoudas, Konstantine 1 Arrigoni, Tatiana 1 Asperó, David 1 Astor, Eric P. 1 Audrito, Giorgio 1 Badaev, Serikzhan A. 1 Bagaria, Joan 1 Bard, Vittorio 1 Bauer, Andrej 1 Baumes, Jeffrey 1 Bianchetti, Matteo 1 Bienvenu, Laurent 1 Boney, Will 1 Bruni, Riccardo 1 Button, Tim 1 Cabessa, Jérémie 1 Caicedo, Andrés Eduardo 1 Chan, William C. Y. 1 Clemens, John Daniel 1 Cockshott, Paul 1 Costa, José Félix 1 Cramer, Scott S. 1 Daghighi, Ali Sadegh ...and 143 more Authors
all top 5
#### Cited in 54 Serials
52 Archive for Mathematical Logic 47 The Journal of Symbolic Logic 36 Annals of Pure and Applied Logic 19 Mathematical Logic Quarterly (MLQ) 16 Theoretical Computer Science 12 Notre Dame Journal of Formal Logic 11 The Bulletin of Symbolic Logic 10 Israel Journal of Mathematics 6 Studia Logica 6 The Review of Symbolic Logic 5 Proceedings of the American Mathematical Society 4 Applied Mathematics and Computation 4 Journal of Mathematical Logic 4 Natural Computing 3 Algebra and Logic 3 Transactions of the American Mathematical Society 3 Bulletin of the Polish Academy of Sciences, Mathematics 3 Theory of Computing Systems 2 Advances in Mathematics 2 Fundamenta Mathematicae 2 Illinois Journal of Mathematics 2 Journal of Philosophical Logic 2 Siberian Mathematical Journal 2 Logical Methods in Computer Science 2 Computability 2 Bollettino dell’Unione Matematica Italiana 1 International Journal of Theoretical Physics 1 Information Processing Letters 1 Periodica Mathematica Hungarica 1 Journal of Algebra 1 Journal of Computer and System Sciences 1 Journal of Pure and Applied Algebra 1 Synthese 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Order 1 Journal of Complexity 1 Journal of Automated Reasoning 1 Journal of the American Mathematical Society 1 MSCS. Mathematical Structures in Computer Science 1 International Journal of Foundations of Computer Science 1 International Journal of Computer Mathematics 1 Indagationes Mathematicae. New Series 1 Erkenntnis 1 Foundations of Science 1 Lobachevskii Journal of Mathematics 1 Parallel Processing Letters 1 Sibirskie Èlektronnye Matematicheskie Izvestiya 1 Sarajevo Journal of Mathematics 1 International Journal of Parallel, Emergent and Distributed Systems 1 Logica Universalis 1 Groups, Complexity, Cryptology 1 Forum of Mathematics, Sigma
all top 5
#### Cited in 16 Fields
294 Mathematical logic and foundations (03-XX) 50 Computer science (68-XX) 11 General and overarching topics; collections (00-XX) 9 Group theory and generalizations (20-XX) 4 Combinatorics (05-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Category theory; homological algebra (18-XX) 3 Quantum theory (81-XX) 2 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)
#### Wikidata Timeline
The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata. | 2021-01-23T12:31:10 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7504221796989441, "perplexity": 8453.603494930068}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-04/segments/1610703537796.45/warc/CC-MAIN-20210123094754-20210123124754-00106.warc.gz"} |
https://pos.sissa.it/338/031/ | Volume 338 - High Energy Astrophysics in Southern Africa (HEASA2018) - HEASA 2018 Speakers
Spectral Variability Signatures of Relativistic Shocks in Blazars
M. Böttcher,* M. Baring
*corresponding author
Full text: pdf
Published on: July 29, 2019
Abstract
Mildly relativistic, oblique shocks are frequently invoked as possible sites of relativistic particle acceleration and production of strongly variable, polarized multi-wavelength emission from relativistic jet sources such as blazars, via diffusive shock acceleration (DSA). In recent work, we had self-consistently coupled DSA and radiation transfer simulations in blazar jets. These one-zone models determined that the observed spectral energy distributions (SEDs) of blazars strongly constrain the nature of the hydromagnetic turbulence responsible for pitch-angle scattering. In this paper, we expand our previous work by including full time dependence and treating two emission zones, one being the site of acceleration.
This modeling is applied to a multiwavelength flare of the flat spectrum radio quasar 3C~279, fitting snap-shot SEDs and light curves. We predict spectral hysteresis patterns in various energy bands as well as cross-band time lags with optical and GeV $\gamma$-rays as well as radio and X-rays tracing each other closely with zero time lag, but radio and X-rays lagging behind the optical and $\gamma$-ray variability by several hours.
DOI: https://doi.org/10.22323/1.338.0031
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.
Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | 2020-07-14T00:34:59 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3554486036300659, "perplexity": 7102.270627520973}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-29/segments/1593657147031.78/warc/CC-MAIN-20200713225620-20200714015620-00391.warc.gz"} |
https://indico.fnal.gov/event/15949/contributions/34828/ | Indico search will be reestablished in the next version upgrade of the software: https://getindico.io/roadmap/
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# 36th Annual International Symposium on Lattice Field Theory
22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone
## Control of SU(3) symmetry breaking effects in calculations of B meson decay constant
Jul 25, 2018, 3:20 PM
20m
103 (Kellogg Hotel and Conference Center)
### 103
#### Kellogg Hotel and Conference Center
219 S Harrison Rd, East Lansing, MI 48824
Weak Decays and Matrix Elements
### Speaker
Sophie Hollitt (University of Adelaide)
### Description
Early B physics experiments have left us with a number of puzzles in heavy flavour physics. New lattice calculations and greater understanding of QCD effects in the Standard Model will be needed to support greater experimental precision in the coming years. In particular, the B meson decay constant is involved in calculations of CKM matrix elements and useful to measurements of the branching ratio B $\to \tau \nu$ expected at the Belle II Experiment. We extend the QCDSF studies of SU(3) breaking of light decay constants into the heavy-flavour regime to examine the effects of SU(3) breaking on $f_B$ and $f_{B_s}$. $b$-quarks are generated using an anisotropic clover-improved heavy-quark action. The decay constants $f_B$ and $f_{B_s}$ will be presented for a variety of light quark masses, from the SU(3) symmetric point toward the physical quark masses. In order to focus on the SU(3) symmetry breaking effects in our extrapolation to the physical point, we choose u,d,s quark masses in each simulation such that the average quark mass, $m = m_u + m_d + m_s$, is constant and equal to its physical value. Results will be presented at a number of different lattice spacings and volumes, toward calculations of $f_B$ and $f_{B_s}$ at the physical point.
### Primary author
Sophie Hollitt (University of Adelaide)
Slides | 2021-06-19T18:52:31 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4940197169780731, "perplexity": 1915.849861487991}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-25/segments/1623487649688.44/warc/CC-MAIN-20210619172612-20210619202612-00092.warc.gz"} |
https://covid19-data.nist.gov/pid/rest/local/paper/comix_comparing_mixing_patterns_in_the_belgian_population_during_and_after_lockdown | ## comix comparing mixing patterns in the belgian population during and after lockdown CORD-Papers-2022-06-02 (Version 1)
Title: CoMix: comparing mixing patterns in the Belgian population during and after lockdown The COVID-19 pandemic has shown how a newly emergent communicable disease can lay considerable burden on public health. To avoid system collapse governments have resorted to several social distancing measures. In Belgium this included a lockdown and a following period of phased re-opening. A representative sample of Belgian adults was asked about their contact behaviour from mid-April to the beginning of August during different stages of the intervention measures in Belgium. Use of personal protection equipment (face masks) and compliance to hygienic measures was also reported. We estimated the expected reproduction number computing the ratio of [Formula: see text] with respect to pre-pandemic data. During the first two waves (the first month) of the survey the reduction in the average number of contacts was around 80% and was quite consistent across all age-classes. The average number of contacts increased over time particularly for the younger age classes still remaining significantly lower than pre-pandemic values. From the end of May to the end of July the estimated reproduction number has a median value larger than one although with a wide dispersion. Estimated [Formula: see text] fell below one again at the beginning of August. We have shown how a rapidly deployed survey can measure compliance to social distancing and assess its impact on COVID-19 spread. Monitoring the effectiveness of social distancing recommendations is of paramount importance to avoid further waves of COVID-19. 2020-12-14 Sci Rep 10.1038/s41598-020-78540-7 http://doi.org/10.1038/s41598-020-78540-7 Coletti Pietro https://covid19-data.nist.gov/pid/rest/local/author/coletti_pietro Wambua James https://covid19-data.nist.gov/pid/rest/local/author/wambua_james Gimma Amy https://covid19-data.nist.gov/pid/rest/local/author/gimma_amy Willem Lander https://covid19-data.nist.gov/pid/rest/local/author/willem_lander Vercruysse Sarah https://covid19-data.nist.gov/pid/rest/local/author/vercruysse_sarah Vanhoutte Bieke https://covid19-data.nist.gov/pid/rest/local/author/vanhoutte_bieke Jarvis Christopher I https://covid19-data.nist.gov/pid/rest/local/author/jarvis_christopher_i Van Zandvoort Kevin https://covid19-data.nist.gov/pid/rest/local/author/van_zandvoort_kevin Edmunds John https://covid19-data.nist.gov/pid/rest/local/author/edmunds_john Beutels Philippe https://covid19-data.nist.gov/pid/rest/local/author/beutels_philippe Hens Niel https://covid19-data.nist.gov/pid/rest/local/author/hens_niel 3d35638e8ce7a35203afd21d4187048dcb8b299d cc-by https://creativecommons.org/licenses/by/4.0/ Medline; PMC https://www.medline.com/https://www.ncbi.nlm.nih.gov/pubmed/ 33318521 https://www.ncbi.nlm.nih.gov/pubmed/33318521 PMC7736856 https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7736856 https://doi.org/10.1038/s41598-020-78540-7 https://www.ncbi.nlm.nih.gov/pubmed/33318521/ TRUE lockdown COVID-19 Shanghai 5 face-masks post-lockdown direct/ Zenodo 31 COVID-19 children line Brussels and Netherlands 7 EC UZA 20/13/147 lockdown globe contacts US 9 UK matrix Shanghai and participants 5-17 phone/tablet Face coronavirus UK 6 15,26 close-contact Wuhan households social contacts France S15 Wuhan 5 multi-wave SARS-CoV-2 www.nature.com/scientificreports/ supermarkets/shops contact matrix www.nature.com/scientificreports/ Figure 3 (= people children contacts SocialMixr age-values ses/by/4.0/. line Innovations Programme-Project EpiPose http://creat iveco mmons COVID-19's Public Health First 5000 Characters:The COVID-19 pandemic has shown how a newly emergent communicable disease can lay considerable burden on public health. To avoid system collapse, governments have resorted to several social distancing measures. In Belgium, this included a lockdown and a following period of phased re-opening. A representative sample of Belgian adults was asked about their contact behaviour from mid-April to the beginning of August, during different stages of the intervention measures in Belgium. Use of personal protection equipment (face masks) and compliance to hygienic measures was also reported. We estimated the expected reproduction number computing the ratio of R 0 with respect to pre-pandemic data. During the first two waves (the first month) of the survey, the reduction in the average number of contacts was around 80% and was quite consistent across all age-classes. The average number of contacts increased over time, particularly for the younger age classes, still remaining significantly lower than pre-pandemic values. From the end of May to the end of July , the estimated reproduction number has a median value larger than one, although with a wide dispersion. Estimated R 0 fell below one again at the beginning of August. We have shown how a rapidly deployed survey can measure compliance to social distancing and assess its impact on COVID-19 spread. Monitoring the effectiveness of social distancing recommendations is of paramount importance to avoid further waves of COVID-19. OPEN The COVID-19 pandemic due to the novel coronavirus (SARS-CoV-2) has shown how newly emerging infectious diseases can lay considerable burden on public health and social economic welfare of the society. Since its emergence, over million confirmed cases and deaths have been recorded as of 2020 1 . In the absence of established pharmaceutical interventions, many countries across the globe have resorted to non-pharmaceutical interventions, advocacy of proper hygienic measures (hand washing, sanitizing), as well as promotion of wide-spread usage of masks to help combat the spread of this disease. However, sustainability of some of the imposed measures is infeasible in the long term, due to an urgent need to returning back to normal social life as well as rekindling the economy. Thus governments have been prompted to lift some of the measures in a phased manner whilst enforcing new/existing rules such as wearing masks in designated places such as in public transport, hospitals, schools, workplaces and other places that attract large crowds and gatherings. As COVID-19 is primarily transmitted through close-contact interaction with infected individuals 2 , data on social contacts is indispensable in informing mathematical modeling studies being employed to explore the evolution of this disease. The last decade of research in infectious disease modeling has shown how quantifying contact patterns is crucial to capture disease dynamics 3 . However, social contact data capturing behavioral changes in the population during and across different stages of an epidemic is mostly lacking and mathematical models need to rely on various assumptions, which might be unverifiable. This raises validity concerns on their appropriateness in guiding decision making. Thus, as many governments are carefully monitoring the situation to avoid further waves of COVID-19, continual data collection is vitally important to closely monitor changes in social mixing. This can provide insights Scientific Reports | (2020) 10:21885 | https://doi.org/10.1038/s41598-020-78540-7 www.nature.com/scientificreports/ on the impact of different intervention measures as well as help in real-time management of the COVID-19 crisis, together with other insights from social and behavioral sciences 4 . Studies comparing social contact patterns before and during the COVID-19 pandemic have been reported for Wuhan and Shanghai 5 , the UK 6 , the Netherlands 7 , Luxembourg 8 , the US 9 and in multiple countries (Belgium, France, Germany, Italy, the Netherlands, Spain, the UK, and the US) 10 . The overall reduction in the total number of contacts made by individuals ranged from 48% to 85%, stressing once again the importance of quantifying the impact of social distancing separately for each country. Also, although little variations in the number of contacts over time were measured 10 up to mid-April, this may change as countries relieve stricter measures and social interactions need to adjust to the new post-lockdown reality 8 . In this paper, we present results from a longitudinal survey of the adult population in Belgium, representative by age, gender and region of residence. The survey involves multiple waves of data collection, and is part of a wider study to look at changes in contact patterns across European countries (see e.g. UK 6 ). Here, we present results for eight waves (= 16 weeks). We quantify the changes in social contact patterns comparing pre-pandemic, lockdown and post-lockdown period \documentclass[12pt]{minimal} UK SARS-CoV-2 sciences4 US)10 time25 initiative6 EC UZA 20/13/147 contact matrix Shanghai measured10 globe households people children21 adults19 S15 US9 lockdown \documentclass[12pt]{minimal children contacts mandatory23 multi-wave number15 place22 survey22 face-masks France phone/tablet contacts July14 Netherlands7 Zenodo31 bias3,24 Wuhan line children Wuhan5 's Brussels and reality8 Luxembourg8 close-contact participants age-values hypothesis"15,26 in29 19–65 individuals2 0.02813 SocialMixr matrix supermarkets/shops restaurants conversational contacts individuals UK6 Shanghai5 face Fig. 7 post-lockdown coronavirus COVID-19 First 5000 Characters:The COVID-19 pandemic due to the novel coronavirus (SARS-CoV-2) has shown how newly emerging infectious diseases can lay considerable burden on public health and social economic welfare of the society. Since its emergence, over million confirmed cases and deaths have been recorded as of 20201. In the absence of established pharmaceutical interventions, many countries across the globe have resorted to non-pharmaceutical interventions, advocacy of proper hygienic measures (hand washing, sanitizing), as well as promotion of wide-spread usage of masks to help combat the spread of this disease. However, sustainability of some of the imposed measures is infeasible in the long term, due to an urgent need to returning back to normal social life as well as rekindling the economy. Thus governments have been prompted to lift some of the measures in a phased manner whilst enforcing new/existing rules such as wearing masks in designated places such as in public transport, hospitals, schools, workplaces and other places that attract large crowds and gatherings. As COVID-19 is primarily transmitted through close-contact interaction with infected individuals2, data on social contacts is indispensable in informing mathematical modeling studies being employed to explore the evolution of this disease. The last decade of research in infectious disease modeling has shown how quantifying contact patterns is crucial to capture disease dynamics3. However, social contact data capturing behavioral changes in the population during and across different stages of an epidemic is mostly lacking and mathematical models need to rely on various assumptions, which might be unverifiable. This raises validity concerns on their appropriateness in guiding decision making. Thus, as many governments are carefully monitoring the situation to avoid further waves of COVID-19, continual data collection is vitally important to closely monitor changes in social mixing. This can provide insights on the impact of different intervention measures as well as help in real-time management of the COVID-19 crisis, together with other insights from social and behavioral sciences4. Studies comparing social contact patterns before and during the COVID-19 pandemic have been reported for Wuhan and Shanghai5, the UK6, the Netherlands7 , Luxembourg8, the US9 and in multiple countries (Belgium, France, Germany, Italy, the Netherlands, Spain, the UK, and the US)10. The overall reduction in the total number of contacts made by individuals ranged from 48% to 85%, stressing once again the importance of quantifying the impact of social distancing separately for each country. Also, although little variations in the number of contacts over time were measured10 up to mid-April, this may change as countries relieve stricter measures and social interactions need to adjust to the new post-lockdown reality8. In this paper, we present results from a longitudinal survey of the adult population in Belgium, representative by age, gender and region of residence. The survey involves multiple waves of data collection, and is part of a wider study to look at changes in contact patterns across European countries (see e.g. UK6). Here, we present results for eight waves (= 16 weeks). We quantify the changes in social contact patterns comparing pre-pandemic, lockdown and post-lockdown periods and its impact on the transmission dynamics of COVID-19 based on the changes in the basic reproduction number relying on the next generation principle. We use a published survey of the Flemish region (Belgium) conducted in 201011,12 as reference for the pre-pandemic social mixing. Also, we assess the uptake of face mask wearing and adherence to hygienic measures in the population over time. During the first wave, 1542 participants took part in the survey, divided among 732 males (47.5%) and 810 females (52.5%) (Table 1). Table S2 presents information on participation rates for each wave. The average participant's age was 48.4 years (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {standard deviation (sd)} =16.3\hbox { years}$$\end{document}standard deviation (sd)=16.3years), with a median age of 50 years, and an inter-quartile range (IQR) of [35–65]. The average household size was 2.8 (\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\hbox {sd} = 1.4$$\end{document}sd=1.4), IQR [2–4] with a maximum household size of 10. In total, data on 4290 household members, including the participants, was collected. Nearly half of the participants were living with children (51. document_parses/pdf_json/3d35638e8ce7a35203afd21d4187048dcb8b299d.json document_parses/pmc_json/PMC7736856.xml.json comix_comparing_mixing_patterns_in_the_belgian_population_during_and_after_lockdown | 2022-08-15T19:30:26 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4411126971244812, "perplexity": 4918.498042379544}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-33/segments/1659882572198.93/warc/CC-MAIN-20220815175725-20220815205725-00485.warc.gz"} |
http://dergipark.gov.tr/ijot/issue/35770/316300 | | | | |
## Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel
#### Salman Abdu Ahmed [1] , Song Zhou [2] , Yuangqing Zhu [3]
##### 133 107
The demand for higher output efficiencies, greater specific power output, increased reliability, and ever reduced emissions has been rising. One promising alternative is the use of a gaseous fuel as partial supplement to liquid fuel. In this study, the effects of diesel-natural gas substitution ratios on the engine performance parameters like brake specific fuel consumption (BSFC), and gaseous emissions of nitrogen oxides (NOX), hydrocarbons (HC), carbon monoxide (CO) and carbon dioxide (CO2) were investigated for natural gas-diesel fuel operation and then compared with the original diesel operation. The engine was modeled with GT-Power computational simulation tool. The diesel fuel was injected into the cylinder while natural gas was injected in to air-intake pipe then compressed together with air. The simulation was carried out at constant engine speed of 1800rpm for four different natural gas fractions (15%, 25%, and 50% and 75%). NOX and CO2 emissions decreased sharply by more than 45% and 50% respectively in dual-fuel mode when compared to only diesel fuel mode. However an increase was observed in CO and HC emissions in dual fuel mode. The results also indicated that higher BSFC and lower brake thermal efficiency (BTE) in dual fuel mode when compared to those of the corresponding diesel engine.
Diesel, dual-fuel engine, natural gas, engine performance
• [1] H.Bayraktar, "An experimental study on the performance parameters of an experimental CI engine fueled with diesel–methanol–dodecanol blends," Fuel, vol. 87, pp. 158-164, 2008. [2] J. Liu, A. Yao, and C. Yao, "Effects of injection timing on performance and emissions of a HD diesel engine with DMCC," Fuel, vol. 134, pp. 107-113, 2014. [3] A. Broatch, J. Luján, S. Ruiz, and P. Olmeda, "Measurement of hydrocarbon and carbon monoxide emissions during the starting of automotive DI diesel engines," International Journal of Automotive Technology, vol. 9, pp. 129-140, 2008. [4] MARPOL Annex IV, Regulations 13 I. M. Organization, 2014. [5] B. Sahoo, N. Sahoo, and U. Saha, "Effect of engine parameters and type of gaseous fuel on the performance of dual-fuel gas diesel engines—A critical review," Renewable and Sustainable Energy Reviews, vol. 13, pp. 1151-1184, 2009. [6] O. Badr, G. Karim, and B. Liu, "An examination of the flame spread limits in a dual fuel engine," Applied Thermal Engineering, vol. 19, pp. 1071-1080, 1999. [7] J. Kusaka, T. Okamoto, Y. Daisho, R. Kihara, and T. Saito, "Combustion and exhaust gas emission characteristics of a diesel engine dual-fueled with natural gas," JSAE review, vol. 21, pp. 489-496, 2000. [8] G. A. Alla, H. Soliman, O. Badr, and M. A. Rabbo, "Effect of pilot fuel quantity on the performance of a dual fuel engine," Energy Conversion and Management, vol. 41, pp. 559-572, 2000. [9] Y. Karagöz, T. Sandalcı, U. O. Koylu, A. S. Dalkılıç, and S. Wongwises, "Effect of the use of natural gas–diesel fuel mixture on performance, emissions, and combustion characteristics of a compression ignition engine," Advances in Mechanical Engineering, vol. 8, p. 1687814016643228, 2016. [10]R. Papagiannakis and D. Hountalas, "Combustion and exhaust emission characteristics of a dual fuel compression ignition engine operated with pilot diesel fuel and natural gas," Energy conversion and management, vol. 45, pp. 2971-2987, 2004. [11]J. Egúsquiza, S. Braga, and C. Braga, "Performance and gaseous emissions characteristics of a natural gas/diesel dual fuel turbocharged and aftercooled engine," Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 31, pp. 142-150, 2009. [12]V. K. Gaba and P. Nashine, "Shubhankar. Bhowmick,” Combustion Modeling of Diesel Engine Using Bio-Diesel as Secondary Fuel," in International Conference on Mechanical and Robotics Engineering (ICMRE'2012) May, 2012, pp. 26-27. [13]V. Ayhan, A. Parlak, I. Cesur, B. Boru, and A. Kolip, "Performance and exhaust emission characteristics of a diesel engine running with LPG," International Journal of Physical Sciences, vol. 6, pp. 1905-1914, 2011. [14]A. Kumaraswamy and B. D. Prasad, "Performance analysis of a dual fuel engine using LPG and diesel with EGR system," Procedia Engineering, vol. 38, pp. 2784-2792, 2012. [15] G. Theotokatos, S. Stoumpos, Y. Ding, L. Xiang, and G. Livanos, "COMPUTATIONAL INVESTIGATION OF A LARGE DUAL FUEL MARINE ENGINE." [16]K. D. Bob-Manuel and R. J. Crookes, "Performance and Emission Evaluation in Dual-Fuel Engine Using Renewable Fuels for Pilot Injection," SAE Technical Paper 0148-7191, 2007. [17]S. Randive and D. Thombare, "Modelling and Simulation of Methanol and Diesel Fuelled HCCI Engine for Improved Performance and Emission Characteristics." [18]R. Singh and S. Maji, "Performance and exhaust gas emissions analysis of direct injection cng-diesel dual fuel engine," Research Scholar, PhD Candidate, University of Delhi, Delhi, INDIA, 2012. [19]P. L. Mtui, "Performance And Emissions Modeling Of Natural Gas Dual Fuelling Of Large Diesel Engines," International Journal of Scientific & Technology Research, vol. 2, pp. 317-323, 2013. [20] C. R. Ferguson and A. T. Kirkpatrick, Internal combustion engines: applied thermosciences: John Wiley & Sons, 2015. [21] G. A. Karim, Dual-fuel diesel engines: CRC Press, 2015. [22] H. Köse and M. Ciniviz, "An experimental investigation of effect on diesel engine performance and exhaust emissions of addition at dual fuel mode of hydrogen," Fuel processing technology, vol. 114, pp. 26-34, 2013. [23] B. John, "Heywood internal combustion engine fndament als," ed: Mc Graw-Hill Book Company, 1988. [24] W. A. Majewski and M. K. Khair, "Diesel emissions and their control," SAE Technical Paper2006. [25] K. Cheenkachorn, C. Poompipatpong, and C. G. Ho, "Performance and emissions of a heavy-duty diesel engine fuelled with diesel and LNG (liquid natural gas)," Energy, vol. 53, pp. 52-57, 2013. [26] G. A. Karim, "A review of combustion processes in the dual fuel engine—the gas diesel engine," Progress in Energy and Combustion Science, vol. 6, pp. 277-285, 1980. [27] D. Kouremenos, D. Hountalas, and A. Kouremenos, "Experimental investigation of the effect of fuel composition on the formation of pollutants in direct injection diesel engines," SAE Technical Paper 0148-7191, 1999.
Birincil Dil en Mühendislik Regular Original Research Article Yazar: Salman Abdu AhmedKurum: Harbin Engineering UniversityÜlke: China Yazar: Song ZhouKurum: Harbin Engineering UniversityÜlke: China Yazar: Yuangqing ZhuKurum: Harbin Engineering UniversityÜlke: China
Bibtex @araştırma makalesi { ijot316300, journal = {International Journal of Thermodynamics}, issn = {1301-9724}, eissn = {2146-1511}, address = {Yaşar DEMİREL}, year = {2018}, volume = {21}, pages = {16 - 25}, doi = {10.5541/ijot.316300}, title = {Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel}, key = {cite}, author = {Ahmed, Salman Abdu and Zhou, Song and Zhu, Yuangqing} } APA Ahmed, S , Zhou, S , Zhu, Y . (2018). Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel. International Journal of Thermodynamics, 21 (1), 16-25. DOI: 10.5541/ijot.316300 MLA Ahmed, S , Zhou, S , Zhu, Y . "Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel". International Journal of Thermodynamics 21 (2018): 16-25 Chicago Ahmed, S , Zhou, S , Zhu, Y . "Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel". International Journal of Thermodynamics 21 (2018): 16-25 RIS TY - JOUR T1 - Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel AU - Salman Abdu Ahmed , Song Zhou , Yuangqing Zhu Y1 - 2018 PY - 2018 N1 - doi: 10.5541/ijot.316300 DO - 10.5541/ijot.316300 T2 - International Journal of Thermodynamics JF - Journal JO - JOR SP - 16 EP - 25 VL - 21 IS - 1 SN - 1301-9724-2146-1511 M3 - doi: 10.5541/ijot.316300 UR - http://dx.doi.org/10.5541/ijot.316300 Y2 - 2018 ER - EndNote %0 International Journal of Thermodynamics Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel %A Salman Abdu Ahmed , Song Zhou , Yuangqing Zhu %T Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel %D 2018 %J International Journal of Thermodynamics %P 1301-9724-2146-1511 %V 21 %N 1 %R doi: 10.5541/ijot.316300 %U 10.5541/ijot.316300 ISNAD Ahmed, Salman Abdu , Zhou, Song , Zhu, Yuangqing . "Performance and Emission Characteristics Analysis of Dual Fuel Compression Ignition Engine Using Natural Gas and Diesel". International Journal of Thermodynamics 21 / 1 (Mart 2018): 16-25. http://dx.doi.org/10.5541/ijot.316300 | 2019-03-25T17:56:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.48056116700172424, "perplexity": 12877.136849759152}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-13/segments/1552912204086.87/warc/CC-MAIN-20190325174034-20190325200034-00492.warc.gz"} |
https://par.nsf.gov/biblio/10312146-first-principles-study-dense-metallic-nitric-sulfur-hydrides | First principles study of dense and metallic nitric sulfur hydrides
Abstract Studies of molecular mixtures containing hydrogen sulfide (H 2 S) could open up new routes towards hydrogen-rich high-temperature superconductors under pressure. H 2 S and ammonia (NH 3 ) form hydrogen-bonded molecular mixtures at ambient conditions, but their phase behavior and propensity towards mixing under pressure is not well understood. Here, we show stable phases in the H 2 S–NH 3 system under extreme pressure conditions to 4 Mbar from first-principles crystal structure prediction methods. We identify four stable compositions, two of which, (H 2 S) (NH 3 ) and (H 2 S) (NH 3 ) 4 , are stable in a sequence of structures to the Mbar regime. A re-entrant stabilization of (H 2 S) (NH 3 ) 4 above 300 GPa is driven by a marked reversal of sulfur-hydrogen chemistry. Several stable phases exhibit metallic character. Electron–phonon coupling calculations predict superconducting temperatures up to 50 K, in the Cmma phase of (H 2 S) (NH 3 ) at 150 GPa. The present findings shed light on how sulfur hydride bonding and superconductivity are affected in molecular mixtures. They also suggest a reservoir for hydrogen sulfide in the upper mantle regions of icy planets in a potentially metallic mixture, which could more »
Authors:
; ; ; ;
Award ID(s):
Publication Date:
NSF-PAR ID:
10312146
Journal Name:
Communications Chemistry
Volume:
4
Issue:
1
ISSN:
2399-3669
5. Sub-Neptunes are common among the discovered exoplanets. However, lack of knowledge on the state of matter in$H2$O-rich setting at high pressures and temperatures ($P−T$) places important limitations on our understanding of this planet type. We have conducted experiments for reactions between$SiO2$and$H2$O as archetypal materials for rock and ice, respectively, at high$P−T$. We found anomalously expanded volumes of dense silica (up to 4%) recovered from hydrothermal synthesis above ∼24 GPa where the$CaCl2$-type (Ct) structure appears at lower pressures than in the anhydrous system. Infrared spectroscopy identified strong OH modes from the dense silica samples. Both previous experiments and our density functional theory calculations support up to 0.48 hydrogen atoms per formula unit of ($Si1−xH4x$)$O2 (x=0.12)$. At pressures above 60 GPa,$H2$O further changes the structural behavior of silica, stabilizing a niccolite-type structure, which is unquenchable. From unit-cell volume and phase equilibrium considerations, we infer that the niccolite-type phase may contain H with an amount at least comparable with or higher than that of the Ct phase. Our results suggest that the phases containing both hydrogen and lithophile elements could bemore » | 2023-03-28T23:39:15 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 9, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.6460606455802917, "perplexity": 4982.946990479523}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-14/segments/1679296948900.50/warc/CC-MAIN-20230328232645-20230329022645-00775.warc.gz"} |
https://www.usgs.gov/center-news/continued-rumblings-2006-kiholo-bay-earthquake | # Continued Rumblings of the 2006 Kiholo Bay Earthquake
Release Date:
This past weekend, Kohala's famed Mauna Kea Beach Hotel celebrated a "soft reopening" following repairs and renovations in the aftermath of the October 15, 2006 Kiholo Bay earthquake. A formal "grand reopening" is scheduled to follow this Spring.
Plume of brown water at the base of the pali between Kaaha and Halape, on Kīlauea's south flank, marks the location of rock slides triggered by the earthquake. Halape is visible in the background.
(Public domain.)
Residents of and visitors to the island of Hawaii are reminded of the earthquake in this and other ways. Some, like the replacement bridge on the Mamalahoa Highway (Route 19) in Paauilo are quite visible.
For the most part, the October 2006 earthquake experiences are memories. We were fortunate that our community was not forced to endure more widespread and more devastating consequence due to the earthquake.
At the same time, as residents of an earthquake-prone region, we know that future large earthquakes are expected. The principal means of mitigating the effects of large earthquakes include developing and adopting appropriate building codes and use of appropriate earthquake-resistant design and building practice, as well as establishing community and personal earthquake response plans.
While current scientific capabilities do not afford the means to precisely predict the time, location, and magnitude of future large earthquakes, we are able to forecast the effects of future large earthquakes as the probabilities of strong earthquake shaking. The U. S. Geological Survey (USGS) features this information online, with explanations, as probabilistic seismic hazards maps at http://earthquake.usgs.gov/research/hazmaps/.
As is the case for any large earthquake, the 2006 Kiholo Bay earthquake sequence (including main and after shocks) provided important observations and data that will fuel research toward a better understanding of earthquakes and their effects. For Kiholo Bay, such data were recorded by a set of instruments installed and maintained by the USGS National Strong Motion Project (NSMP). Beginning in the year 2000 and only now recently completed, the NSMP has upgraded all of its strong motion instrumentation, some of which recorded on film in 2006, to current operational (digital) standards.
The NSMP instruments are referred to as "strong motion accelerographs" that record the strongest shaking expected from earthquakes without exceeding the maximum working range of the instruments. There are two-dozen NSMP instruments on the island of Hawaii, and a few more on Oahu and in Maui County.
The maximum shaking from the October 15 M6.7 mainshock was not recorded by the NSMP instrument nearest the earthquake epicenter as expected. Instead, the strongest shaking was recorded at the Waimea Fire Station (more than 32 km or 20 miles away), and the overall pattern of strong motion data suggested significant variations in response due to soil and geological conditions beneath the individual instrument locations.
Data collected from the NSMP sites since 2006 have been compiled into a new map of strong motion site conditions for the Big Island that was presented earlier this month at the Fall 2008 Meeting of the American Geophysical Union (AGU). While an earlier version of the map showed much of the island to be classified as "rock" sites, the recent work suggests that much of Hawaii Island should be considered soft rock or very dense soil. Shaking at soft rock or very dense soil sites would be amplified over shaking at hard rock sites. The differences must be incorporated into updated seismic hazard maps of Hawaii to properly estimate future strong earthquake shaking.
Also presented at the AGU meeting was an HVO study of the rupture process of the Kiholo Bay M6.7 mainshock. This study also used NSMP recordings from the Kiholo Bay sequence, including the M5.0 aftershock that occurred on Thanksgiving Day, 2006.
The October 15, 2006 M6.7 Kiholo Bay earthquake occurred on a deep fault, approximately 39 km (24 miles) below sea level. The slippage that caused the earthquake started at its hypocenter and continued over an area of the fault roughly 30 km X 20 km (18 miles X 12 miles) in size, in a westward direction away from the island at a speed of 3.5 km/s (2.2 miles/s or 7.900 miles/hr). Maximum slippage was more than 1 m (3.3 ft).
Such studies will contribute to a better understanding of large earthquakes and how their effects are distributed across Hawaii.
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### Volcano Activity Update
Kīlauea Volcano continues to be active. A vent in Halemaumau Crater is erupting elevated amounts of sulfur dioxide gas and very small amounts of ash. Resulting high concentrations of sulfur dioxide in downwind air have closed the south part of Kīlauea caldera and produced occasional air quality alerts in more distant areas, such as Pahala and communities adjacent to Hawaii Volcanoes National Park, during kona wind periods.
Puu Ōō continues to produce sulfur dioxide at even higher rates than the vent in Halemaumau Crater. Trade winds tend to pool these emissions along the West Hawaii coast, while Kona winds blow these emissions into communities to the north, such as Mountain View, Volcano, and Hilo.
Lava erupting from the Thanksgiving Eve Breakout (TEB) vent at the eastern base of Puu Ōō continues to flow to the ocean at Waikupanaha through a well-established lava tube. Breakouts from the lava tube were active in the abandoned Royal Gardens subdivision and on the coastal plain in the past week. Active portions of the flow on the coastal plain were within 100 yards of the National Park boundary, as they have been during the last several weeks. Ocean entry activity has fluctuated in the past week, due to a deflation-inflation cycle that began on Sunday, Dec. 21. These cycles normally cause changes in lava supply to the flow field that can last a few days.
Be aware that active lava deltas can collapse at any time, potentially generating large explosions. This may be especially true during times of rapidly changing lava supply conditions. The Waikupanaha delta has collapsed many times over the last several months, with three of the collapses resulting in rock blasts that tossed television-sized rocks up onto the sea-cliff and threw fist-sized rocks more than 200 yards inland.
Do not approach the ocean entry or venture onto the lava deltas. Even the intervening beaches are susceptible to large waves generated during delta collapse; avoid these beaches. In addition, steam plumes rising from ocean entries are highly acidic and laced with glass particles. Call Hawaii County Civil Defense at 961-8093 for viewing hours.
Mauna Loa is not erupting. Two earthquakes were located beneath the summit this past week. Continuing extension between locations spanning the summit indicates slow inflation of the volcano, combined with slow eastward slippage of its east flank.
No earthquakes beneath Hawaii Island were reported felt within the past week.
The staff of the Hawaiian Volcano Observatory wishes you a Happy Holiday Season. Visit our Web site for daily Kīlauea eruption updates, a summary of volcanic events over the past year, and nearly real-time Hawaii earthquake information. Kīlauea daily update summaries are also available by phone at (808) 967-8862. Questions can be emailed to [email protected]. skip past bottom navigational bar | 2020-01-25T01:37:17 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.20035870373249054, "perplexity": 3727.0248187707284}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 20, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-05/segments/1579250628549.43/warc/CC-MAIN-20200125011232-20200125040232-00470.warc.gz"} |
http://legisquebec.gouv.qc.ca/en/showversion/cs/I-8.1?code=se:103_4&pointInTime=20210906 | ### I-8.1 - Act respecting offences relating to alcoholic beverages
103.4. In proceedings for contravention of section 103.1 or 103.2, the permit holder shall incur no penalty if he proves that he used reasonable diligence to ascertain the age of the person and that he had reasonable ground for believing that that person was of full age or if he proves that he had reasonable ground for believing that it was a case contemplated in the second paragraph of section 103.2.
1979, c. 71, s. 128. | 2021-10-25T08:46:39 | {"extraction_info": {"found_math": false, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.8366407155990601, "perplexity": 2790.266276743814}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-43/segments/1634323587655.10/warc/CC-MAIN-20211025061300-20211025091300-00139.warc.gz"} |
https://www.zbmath.org/authors/?q=ai%3Akim.jeong-han | # zbMATH — the first resource for mathematics
## Kim, Jeong Han
Compute Distance To:
Author ID: kim.jeong-han Published as: Kim, Jeong Han; Kim, J. H.; Kim, Jeong-Han; Kim, J.; Kim, Jeong H. Homepage: https://www.mathnet.or.kr/people_list/view/4242 External Links: MGP · Wikidata
Documents Indexed: 59 Publications since 1993
all top 5
#### Co-Authors
10 single-authored 10 Vu, Van H. 4 Choi, Sung-Soon 4 Peres, Yuval 4 Tetali, Prasad 3 Alon, Noga M. 3 Bollobás, Béla 3 Wormald, Nicholas Charles 2 Bayati, Mohsen Fathollah 2 Ding, Jian 2 Fishburn, Peter Clingerman 2 Greenhill, Catherine S. 2 Jung, Kyomin 2 Lee, Choongbum 2 Lee, Joonkyung 2 Lee, Sangjune 2 Lubetzky, Eyal 2 Mandjes, Michel Robertus Hendrikus 2 Montenegro, Ravi 2 Pittel, Boris G. 2 Saberi, Amin 2 Spencer, Joel H. 2 Sudakov, Benny 2 Verstraëte, Jacques 1 Achlioptas, Dimitris 1 Armero, Francisco 1 Bohman, Tom 1 Borgs, Christian 1 Chayes, Jennifer Tour 1 Chen, Bob 1 Conlon, David 1 Hajiaghayi, Mohammad Taghi 1 Jang, Lee-Chae 1 Janson, Svante 1 Jo, Gwanghyun 1 Kahn, Jeff D. 1 Kim, Taekyun 1 Krivelevich, Michael 1 Lagarias, Jeffrey C. 1 Lee, Sungchul 1 Leighton Tom 1 Matoušek, Jiří 1 Na, Joohan 1 Park, Dal-Won 1 Pikhurko, Oleg 1 Racke, Harald 1 Roche, James R. 1 Tait, Michael 1 Verbitsky, Oleg 1 Wilson, David Bruce 1 Wright, Paul E.
all top 5
#### Serials
11 Random Structures & Algorithms 4 Combinatorica 3 Journal of Combinatorial Theory. Series A 3 Journal of Combinatorial Theory. Series B 3 Journal of Computer and System Sciences 3 Combinatorics, Probability and Computing 2 Artificial Intelligence 2 Discrete Mathematics 2 SIAM Journal on Discrete Mathematics 1 Advances in Applied Probability 1 Computer Methods in Applied Mechanics and Engineering 1 Discrete Applied Mathematics 1 Israel Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Advances in Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Graph Theory 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Statistics & Probability Letters 1 Algorithmica 1 Queueing Systems 1 The Annals of Applied Probability 1 Far East Journal of Mathematical Sciences 1 Journal of Applied Mathematics 1 Annals of Fuzzy Mathematics and Informatics
all top 5
#### Fields
43 Combinatorics (05-XX) 14 Probability theory and stochastic processes (60-XX) 11 Computer science (68-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Partial differential equations (35-XX) 1 General topology (54-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)
#### Citations contained in zbMATH Open
49 Publications have been cited 578 times in 503 Documents Cited by Year
The Ramsey number $$R(3,t)$$ has order of magnitude $$t^ 2 /\log t$$. Zbl 0832.05084
Kim, Jeong Han
1995
Concentration of multivariate polynomials and its applications. Zbl 0969.60013
Kim, Jeong Han; Vu, Van H.
2000
The scaling window of the 2-SAT transition. Zbl 0979.68053
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B.
2001
On Brooks’ theorem for sparse graphs. Zbl 0833.05030
Kim, Jeong Han
1995
Nearly perfect matchings in regular simple hypergraphs. Zbl 0882.05107
Alon, Noga; Kim, Jeong-Han; Spencer, Joel
1997
Divide and conquer martingales and the number of triangles in a random graph. Zbl 1041.60042
Kim, J. H.; Vu, V. H.
2004
Small complete arcs in projective planes. Zbl 1027.05015
Kim, J. H.; Vu, V. H.
2003
On the asymmetry of random regular graphs and random graphs. Zbl 1012.05143
Kim, Jeong Han; Sudakov, Benny; Vu, Van H.
2002
Sandwiching random graphs: universality between random graph models. Zbl 1050.05111
Kim, J. H.; Vu, V. H.
2004
Diameters in supercritical random graphs via first passage percolation. Zbl 1260.05048
Ding, Jian; Kim, Jeong Han; Lubetzky, Eyal; Peres, Yuval
2010
Two approaches to Sidorenko’s conjecture. Zbl 1331.05220
Kim, Jeong Han; Lee, Choongbum; Lee, Joonkyung
2016
A sequential algorithm for generating random graphs. Zbl 1198.05138
Bayati, Mohsen; Kim, Jeong Han; Saberi, Amin
2010
How complex are random graphs in first order logic? Zbl 1060.05085
Kim, Jeong Han; Pikhurko, Oleg; Spencer, Joel H.; Verbitsky, Oleg
2005
Poisson cloning model for random graphs. Zbl 1100.05093
Kim, Jeong Han
2006
Two-coloring random hypergraphs. Zbl 1001.05059
Achlioptas, Dimitris; Kim, Jeong Han; Krivelevich, Michael; Tetali, Prasad
2002
Random matchings which induce Hamilton cycles and Hamiltonian decompositions of random regular graphs. Zbl 1030.05107
Kim, Jeong Han; Wormald, Nicholas C.
2001
Optimal query complexity bounds for finding graphs. Zbl 1231.68150
Choi, Sung-Soon; Kim, Jeong Han
2008
Anatomy of a Young giant component in the random graph. Zbl 1230.05260
Ding, Jian; Kim, Jeong Han; Lubetzky, Eyal; Peres, Yuval
2011
Entropy and sorting. Zbl 1294.68069
Kahn, Jeff; Kim, Jeong Han
1995
Generating random regular graphs. Zbl 1121.05110
Kim, J. H.; Vu, V. H.
2006
Generating random regular graphs. Zbl 1192.05146
Kim, Jeong Han; Vu, Van H.
2003
Small subgraphs of random regular graphs. Zbl 1118.05088
Kim, Jeong Han; Sudakov, Benny; Vu, Van
2007
On increasing subsequences of random permutations. Zbl 0859.05002
Kim, Jeong Han
1996
A phase transition for avoiding a giant component. Zbl 1092.05061
Bohman, Tom; Kim, Jeong Han
2006
On coupon colorings of graphs. Zbl 1317.05052
Chen, Bob; Kim, Jeong Han; Tait, Michael; Verstraete, Jacques
2015
Some advances on Sidorenko’s conjecture. Zbl 1433.05166
Conlon, David; Kim, Jeong Han; Lee, Choongbum; Lee, Joonkyung
2018
Regular subgraphs of random graphs. Zbl 1101.05061
Bollobás, Béla; Kim, Jeong Han; Verstraëte, Jacques
2006
Large deviations for Small buffers: An insensitivity result. Zbl 1017.90023
Mandjes, Michel; Kim, Jeong Han
2001
Permutation pseudographs and contiguity. Zbl 1006.05056
Greenhill, Catherine; Janson, Svante; Kim, Jeong Han; Wormald, Nicholas C.
2002
On the degree, size, and chromatic index of a uniform hypergraph. Zbl 0868.05037
Alon, Noga; Kim, Jeong Han
1997
Perfect matchings in random uniform hypergraphs. Zbl 1028.05088
Kim, Jeong Han
2003
Universality of random graphs for graphs of maximum degree two. Zbl 1305.05209
Kim, Jeong Han; Lee, Sang June
2014
Hamiltonian decompositions of random bipartite regular graphs. Zbl 1033.05082
Greenhill, Catherine; Kim, Jeong Han; Wormald, Nicholas C.
2004
Discrepancy after adding a single set. Zbl 1092.05069
Kim, Jeong Han; Matoušek, Jiří; Vu, Van H.
2005
A birthday paradox for Markov chains with an optimal bound for collision in the Pollard rho algorithm for discrete logarithm. Zbl 1195.60096
Kim, Jeong Han; Montenegro, Ravi; Peres, Yuval; Tetali, Prasad
2010
Optimal query complexity bounds for finding graphs. Zbl 1206.68228
Choi, Sung-Soon; Kim, Jeong Han
2010
A birthday paradox for Markov chains, with an optimal bound for collision in the Pollard rho algorithm for discrete logarithm. Zbl 1205.11135
Kim, Jeong Han; Montenegro, Ravi; Peres, Yuval; Tetali, Prasad
2008
A sequential algorithm for generating random graphs. Zbl 1171.05423
Bayati, Mohsen; Kim, Jeong Han; Saberi, Amin
2007
Confirming the Kleitman-Winston conjecture on the largest coefficient in a $$q$$-Catalan number. Zbl 0968.05037
Kim, Jeong Han; Pittel, Boris
2000
On tail distribution of interpost distance. Zbl 1029.05138
Kim, Jeong Han; Pittel, Boris
2000
Almost tight upper bound for finding Fourier coefficients of bounded pseudo-Boolean functions. Zbl 1234.68148
Choi, Sung-Soon; Jung, Kyomin; Kim, Jeong Han
2011
Score certificates for tournaments. Zbl 0865.05044
Kim, Jeong Han; Tetali, Prasad; Fishburn, Peter
1997
Interference-minimizing colorings of regular graphs. Zbl 0912.05036
Fishburn, P. C.; Kim, J. H.; Lagarias, J. C.; Wright, P. E.
1998
Analysis of a phase transition phenomenon in packet networks. Zbl 0979.60081
Mandjes, Michel; Kim, Jeong-Han
2001
Nearly optimal partial Steiner systems. Zbl 0981.05017
Kim, Jeong Han
2001
Economical covers with geometric applications. Zbl 1029.05109
Alon, Noga; Bollobás, Béla; Kim, Jeong Han; Vu, Van H.
2003
Oblivious routing in directed graphs with random demands. Zbl 1192.90229
Hajiaghayi, Mohammad Taghi; Kim, Jeong Han; Leighton Tom; Räcke, Harald
2005
Covering cubes by random half cubes, with applications to binary neural networks. Zbl 0948.68163
Kim, Jeong Han; Roche, James R.
1998
On the total variation distance between the binomial random graph and the random intersection graph. Zbl 1441.05203
Kim, Jeong Han; Lee, Sang June; Na, Joohan
2018
Some advances on Sidorenko’s conjecture. Zbl 1433.05166
Conlon, David; Kim, Jeong Han; Lee, Choongbum; Lee, Joonkyung
2018
On the total variation distance between the binomial random graph and the random intersection graph. Zbl 1441.05203
Kim, Jeong Han; Lee, Sang June; Na, Joohan
2018
Two approaches to Sidorenko’s conjecture. Zbl 1331.05220
Kim, Jeong Han; Lee, Choongbum; Lee, Joonkyung
2016
On coupon colorings of graphs. Zbl 1317.05052
Chen, Bob; Kim, Jeong Han; Tait, Michael; Verstraete, Jacques
2015
Universality of random graphs for graphs of maximum degree two. Zbl 1305.05209
Kim, Jeong Han; Lee, Sang June
2014
Anatomy of a Young giant component in the random graph. Zbl 1230.05260
Ding, Jian; Kim, Jeong Han; Lubetzky, Eyal; Peres, Yuval
2011
Almost tight upper bound for finding Fourier coefficients of bounded pseudo-Boolean functions. Zbl 1234.68148
Choi, Sung-Soon; Jung, Kyomin; Kim, Jeong Han
2011
Diameters in supercritical random graphs via first passage percolation. Zbl 1260.05048
Ding, Jian; Kim, Jeong Han; Lubetzky, Eyal; Peres, Yuval
2010
A sequential algorithm for generating random graphs. Zbl 1198.05138
Bayati, Mohsen; Kim, Jeong Han; Saberi, Amin
2010
A birthday paradox for Markov chains with an optimal bound for collision in the Pollard rho algorithm for discrete logarithm. Zbl 1195.60096
Kim, Jeong Han; Montenegro, Ravi; Peres, Yuval; Tetali, Prasad
2010
Optimal query complexity bounds for finding graphs. Zbl 1206.68228
Choi, Sung-Soon; Kim, Jeong Han
2010
Optimal query complexity bounds for finding graphs. Zbl 1231.68150
Choi, Sung-Soon; Kim, Jeong Han
2008
A birthday paradox for Markov chains, with an optimal bound for collision in the Pollard rho algorithm for discrete logarithm. Zbl 1205.11135
Kim, Jeong Han; Montenegro, Ravi; Peres, Yuval; Tetali, Prasad
2008
Small subgraphs of random regular graphs. Zbl 1118.05088
Kim, Jeong Han; Sudakov, Benny; Vu, Van
2007
A sequential algorithm for generating random graphs. Zbl 1171.05423
Bayati, Mohsen; Kim, Jeong Han; Saberi, Amin
2007
Poisson cloning model for random graphs. Zbl 1100.05093
Kim, Jeong Han
2006
Generating random regular graphs. Zbl 1121.05110
Kim, J. H.; Vu, V. H.
2006
A phase transition for avoiding a giant component. Zbl 1092.05061
Bohman, Tom; Kim, Jeong Han
2006
Regular subgraphs of random graphs. Zbl 1101.05061
Bollobás, Béla; Kim, Jeong Han; Verstraëte, Jacques
2006
How complex are random graphs in first order logic? Zbl 1060.05085
Kim, Jeong Han; Pikhurko, Oleg; Spencer, Joel H.; Verbitsky, Oleg
2005
Discrepancy after adding a single set. Zbl 1092.05069
Kim, Jeong Han; Matoušek, Jiří; Vu, Van H.
2005
Oblivious routing in directed graphs with random demands. Zbl 1192.90229
Hajiaghayi, Mohammad Taghi; Kim, Jeong Han; Leighton Tom; Räcke, Harald
2005
Divide and conquer martingales and the number of triangles in a random graph. Zbl 1041.60042
Kim, J. H.; Vu, V. H.
2004
Sandwiching random graphs: universality between random graph models. Zbl 1050.05111
Kim, J. H.; Vu, V. H.
2004
Hamiltonian decompositions of random bipartite regular graphs. Zbl 1033.05082
Greenhill, Catherine; Kim, Jeong Han; Wormald, Nicholas C.
2004
Small complete arcs in projective planes. Zbl 1027.05015
Kim, J. H.; Vu, V. H.
2003
Generating random regular graphs. Zbl 1192.05146
Kim, Jeong Han; Vu, Van H.
2003
Perfect matchings in random uniform hypergraphs. Zbl 1028.05088
Kim, Jeong Han
2003
Economical covers with geometric applications. Zbl 1029.05109
Alon, Noga; Bollobás, Béla; Kim, Jeong Han; Vu, Van H.
2003
On the asymmetry of random regular graphs and random graphs. Zbl 1012.05143
Kim, Jeong Han; Sudakov, Benny; Vu, Van H.
2002
Two-coloring random hypergraphs. Zbl 1001.05059
Achlioptas, Dimitris; Kim, Jeong Han; Krivelevich, Michael; Tetali, Prasad
2002
Permutation pseudographs and contiguity. Zbl 1006.05056
Greenhill, Catherine; Janson, Svante; Kim, Jeong Han; Wormald, Nicholas C.
2002
The scaling window of the 2-SAT transition. Zbl 0979.68053
Bollobás, Béla; Borgs, Christian; Chayes, Jennifer T.; Kim, Jeong Han; Wilson, David B.
2001
Random matchings which induce Hamilton cycles and Hamiltonian decompositions of random regular graphs. Zbl 1030.05107
Kim, Jeong Han; Wormald, Nicholas C.
2001
Large deviations for Small buffers: An insensitivity result. Zbl 1017.90023
Mandjes, Michel; Kim, Jeong Han
2001
Analysis of a phase transition phenomenon in packet networks. Zbl 0979.60081
Mandjes, Michel; Kim, Jeong-Han
2001
Nearly optimal partial Steiner systems. Zbl 0981.05017
Kim, Jeong Han
2001
Concentration of multivariate polynomials and its applications. Zbl 0969.60013
Kim, Jeong Han; Vu, Van H.
2000
Confirming the Kleitman-Winston conjecture on the largest coefficient in a $$q$$-Catalan number. Zbl 0968.05037
Kim, Jeong Han; Pittel, Boris
2000
On tail distribution of interpost distance. Zbl 1029.05138
Kim, Jeong Han; Pittel, Boris
2000
Interference-minimizing colorings of regular graphs. Zbl 0912.05036
Fishburn, P. C.; Kim, J. H.; Lagarias, J. C.; Wright, P. E.
1998
Covering cubes by random half cubes, with applications to binary neural networks. Zbl 0948.68163
Kim, Jeong Han; Roche, James R.
1998
Nearly perfect matchings in regular simple hypergraphs. Zbl 0882.05107
Alon, Noga; Kim, Jeong-Han; Spencer, Joel
1997
On the degree, size, and chromatic index of a uniform hypergraph. Zbl 0868.05037
Alon, Noga; Kim, Jeong Han
1997
Score certificates for tournaments. Zbl 0865.05044
Kim, Jeong Han; Tetali, Prasad; Fishburn, Peter
1997
On increasing subsequences of random permutations. Zbl 0859.05002
Kim, Jeong Han
1996
The Ramsey number $$R(3,t)$$ has order of magnitude $$t^ 2 /\log t$$. Zbl 0832.05084
Kim, Jeong Han
1995
On Brooks’ theorem for sparse graphs. Zbl 0833.05030
Kim, Jeong Han
1995
Entropy and sorting. Zbl 1294.68069
Kahn, Jeff; Kim, Jeong Han
1995
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#### Cited by 729 Authors
16 Sudakov, Benny 13 Mubayi, Dhruv 12 Frieze, Alan Michael 12 Kim, Jeong Han 10 Bartoli, Daniele 10 Bohman, Tom 10 Marcugini, Stefano 10 Pambianco, Fernanda 10 Warnke, Lutz 9 Davydov, Alexander A. 9 Janson, Svante 9 Lubetzky, Eyal 9 Pikhurko, Oleg 8 Conlon, David 8 Faina, Giorgio 8 Krivelevich, Michael 8 Rodl, Vojtech 8 Shabanov, Dmitry A. 8 Vu, Van H. 7 Dudek, Andrzej 7 Fox, Jacob 7 Greenhill, Catherine S. 7 Osthus, Deryk 7 Spencer, Joel H. 6 Bshouty, Nader H. 6 Chatterjee, Sourav 6 Ding, Jian 6 Henning, Michael Anthony 6 Kühn, Daniela 5 Alon, Noga M. 5 Ferber, Asaf 5 Gao, Pu 5 Kang, Mihyun 5 Lee, Choongbum 5 Mandjes, Michel Robertus Hendrikus 5 Peres, Yuval 5 Prałat, Paweł 5 Ruciński, Andrzej 5 Verbitsky, Oleg 5 Verstraëte, Jacques 5 Zhao, Yufei 4 Bhamidi, Shankar 4 Coja-Oghlan, Amin 4 Cooper, Jeff 4 Fiorini, Samuel 4 Foucaud, Florent 4 Gyárfás, András 4 Kahn, Jeff D. 4 Kohayakawa, Yoshiharu 4 Kostochka, Aleksandr Vasil’evich 4 Mazzawi, Hanna 4 Perkins, Will 4 Person, Yury Aleksandrovic 4 Ravelomanana, Vlady 4 Schiermeyer, Ingo 4 Sly, Allan 4 Suk, Andrew 4 Wormald, Nicholas Charles 3 Bennett, Patrick 3 Brightwell, Graham R. 3 Cardinal, Jean 3 Choi, Sung-Soon 3 Chudnovsky, Maria 3 Dembo, Amir 3 Giulietti, Massimo 3 Haxell, Penny E. 3 Joos, Felix Claudius 3 Joret, Gwenaël 3 Kreshchuk, Alexey A. 3 Li, Yusheng 3 Lin, Qizhong 3 Liu, Hong 3 Loh, Po-Shen 3 Markström, Klas 3 Mertzios, George B. 3 Montanari, Andrea 3 Nagy, Zoltán Lóránt 3 Naserasr, Reza 3 Nenadov, Rajko 3 Parreau, Aline 3 Pastor, Lucas 3 Picollelli, Michael E. 3 Pittel, Boris G. 3 Pontiveros, Gonzalo Fiz 3 Rossignol, Raphaël 3 Samotij, Wojciech 3 Schudy, Warren 3 Seppäläinen, Timo 3 Šileikis, Matas 3 Sun, Nike 3 Sviridenko, Maxim I. 3 Thomassé, Stéphan 3 Trotignon, Nicolas 3 Valicov, Petru 3 van der Hofstad, Remco W. 3 Vigoda, Eric 3 Yeo, Anders 3 Yuster, Raphael 2 Achlioptas, Dimitris 2 Addario-Berry, Louigi ...and 629 more Authors
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#### Cited in 115 Serials
61 Random Structures & Algorithms 28 Journal of Combinatorial Theory. Series B 27 Combinatorics, Probability and Computing 26 Discrete Mathematics 20 Theoretical Computer Science 20 European Journal of Combinatorics 15 Discrete Applied Mathematics 15 SIAM Journal on Discrete Mathematics 12 The Annals of Probability 12 Graphs and Combinatorics 11 The Electronic Journal of Combinatorics 9 The Annals of Applied Probability 8 Israel Journal of Mathematics 8 Advances in Mathematics 8 Journal of Graph Theory 7 Journal of Applied Probability 7 Combinatorica 7 Algorithmica 7 Journal of Combinatorial Designs 6 Proceedings of the American Mathematical Society 6 Journal of Combinatorial Optimization 5 Journal of Combinatorial Theory. Series A 5 Journal of Computer and System Sciences 5 Probability Theory and Related Fields 4 Artificial Intelligence 4 Information Processing Letters 4 Journal of Geometry 4 SIAM Journal on Computing 4 Transactions of the American Mathematical Society 4 Order 3 Inventiones Mathematicae 3 Statistics & Probability Letters 3 Annals of Pure and Applied Logic 3 Discrete & Computational Geometry 3 Designs, Codes and Cryptography 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Discrete Algorithms 3 Forum of Mathematics, Sigma 3 Computer Science Review 2 Advances in Applied Probability 2 Journal of Statistical Physics 2 Russian Mathematical Surveys 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Networks 2 Applied Mathematics Letters 2 Discrete Mathematics and Applications 2 Mathematical Programming. Series A. Series B 2 Journal of Mathematical Sciences (New York) 2 Annals of Combinatorics 2 Stochastic Models 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Problems of Information Transmission 1 Theory of Probability and its Applications 1 Acta Mathematica 1 The Annals of Statistics 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of the American Statistical Association 1 Journal of Number Theory 1 Mathematics of Operations Research 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Operations Research 1 Proceedings of the London Mathematical Society. Third Series 1 Studies in Applied Mathematics 1 Advances in Applied Mathematics 1 Operations Research Letters 1 Optimization 1 Statistical Science 1 Information and Computation 1 Journal of the American Mathematical Society 1 Journal of Cryptology 1 Journal of Parallel and Distributed Computing 1 International Journal of Computer Mathematics 1 SIAM Review 1 Stochastic Processes and their Applications 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 The Australasian Journal of Combinatorics 1 Journal of Algebraic Combinatorics 1 Discussiones Mathematicae. Graph Theory 1 Electronic Journal of Probability 1 INFORMS Journal on Computing 1 Doklady Mathematics 1 Journal of Graph Algorithms and Applications 1 Chaos 1 Discrete Dynamics in Nature and Society 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 RAIRO. Theoretical Informatics and Applications 1 Journal of Systems Science and Complexity 1 Journal of Applied Mathematics ...and 15 more Serials
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#### Cited in 28 Fields
397 Combinatorics (05-XX) 104 Probability theory and stochastic processes (60-XX) 94 Computer science (68-XX) 31 Operations research, mathematical programming (90-XX) 20 Geometry (51-XX) 17 Number theory (11-XX) 17 Information and communication theory, circuits (94-XX) 14 Statistical mechanics, structure of matter (82-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Mathematical logic and foundations (03-XX) 11 Order, lattices, ordered algebraic structures (06-XX) 10 Statistics (62-XX) 6 Numerical analysis (65-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Convex and discrete geometry (52-XX) 4 Biology and other natural sciences (92-XX) 3 Measure and integration (28-XX) 2 Algebraic geometry (14-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Mechanics of deformable solids (74-XX)
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http://trilinos.sandia.gov/packages/docs/r11.2/packages/ifpack2/doc/html/classIfpack2_1_1Details_1_1Chebyshev.html | Ifpack2 Templated Preconditioning Package Version 1.0
Ifpack2::Details::Chebyshev< ScalarType, MV, MAT > Class Template Reference
Left-scaled Chebyshev iteration. More...
#include <Ifpack2_Details_Chebyshev_decl.hpp>
List of all members.
## Public Member Functions
Chebyshev (Teuchos::RCP< const MAT > A)
Chebyshev (Teuchos::RCP< const MAT > A, Teuchos::ParameterList ¶ms)
void setParameters (Teuchos::ParameterList &plist)
Set (or reset) parameters.
void compute ()
(Re)compute the left scaling, and (if applicable) estimate max and min eigenvalues of D_inv * A.
MT apply (const MV &B, MV &X)
Teuchos::RCP< const MAT > getMatrix () const
Get the matrix given to the constructor.
bool hasTransposeApply () const
Whether it's possible to apply the transpose of this operator.
void print (std::ostream &out)
Print instance data to the given output stream.
## Detailed Description
### template<class ScalarType, class MV, class MAT> class Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >
Left-scaled Chebyshev iteration.
Template Parameters:
ScalarType The type of entries in the matrix and vectors. MV Specialization of Tpetra::MultiVector. MAT Corresponding specialization of Tpetra::RowMatrix.
This class implements two variants of Chebyshev iteration: 1. A direct imitation of Ifpack's implementation 2. A textbook version of the algorithm
All implemented variants use the diagonal of the matrix to precondition the linear system on the left. Diagonal entries less than machine precision are replaced with machine precision.
The first version imitates Ifpack::Chebyshev, both in how it sets parameters and in the actual iteration (ApplyInverse()). The "textbook" in variant #2 above is "Templates for the Solution of Linear Systems," 2nd edition. Experiments show that the Ifpack imitation is much less sensitive to the eigenvalue bounds than the textbook version, so users should prefer it. (In fact, it is the default.)
We require that the matrix A be real valued and symmetric positive definite. If users could provide the ellipse parameters ("d" and "c" in the literature, where d is the real-valued center of the ellipse, and d-c and d+c the two foci), the iteration itself would work fine with nonsymmetric real-valued A, as long as the eigenvalues of A can be bounded in an ellipse that is entirely to the right of the origin.
There is also dead code for imitating ML's Chebyshev implementation (ML_Cheby(), in packages/ml/src/Smoother/ml_smoother.c). I couldn't get it to converge in time to be useful for testing, so it is disabled.
## Constructor & Destructor Documentation
template<class ScalarType , class MV , class MAT>
Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::Chebyshev ( Teuchos::RCP< const MAT > A )
Constructor that takes a sparse matrix and sets default parameters.
Parameters:
A [in] The matrix A in the linear system to solve. A must be real-valued and symmetric positive definite.
template<class ScalarType , class MV , class MAT>
Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::Chebyshev ( Teuchos::RCP< const MAT > A, Teuchos::ParameterList & params )
Constructor that takes a sparse matrix and sets the user's parameters.
Parameters:
A [in] The matrix A in the linear system to solve. A must be real-valued and symmetric positive definite. params [in/out] On input: the parameters. On output: filled with the current parameter settings.
## Member Function Documentation
template<class ScalarType , class MV , class MAT >
void Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::setParameters ( Teuchos::ParameterList & plist )
Set (or reset) parameters.
This method fills in the input ParameterList with missing parameters set to their default values. You may call this method as many times as you want. On each call, the input ParameterList is treated as a complete list of the desired parameters, not as a "delta" or change list from the current set of parameters. (That is, if you remove parameters from the list that were there in the last call to setParameters() and call setParameters() again with the revised list, this method will use default values for the removed parameters, rather than letting the current settings remain.) However, since the method fills in missing parameters, you may keep calling it with the ParameterList used in the previous call in order to get the same behavior as before.
Parameters that govern spectral bounds of the matrix:
• "chebyshev: max eigenvalue" (ScalarType): lambdaMax, an upper bound of the bounding ellipse of the eigenvalues of the matrix A. If you do not set this parameter, we will compute an approximation. See "Parameters that govern eigenvalue analysis" to control this approximation process.
• "chebyshev: ratio eigenvalue" (ScalarType): eigRatio, the ratio of lambdaMax to the lower bound of the bounding ellipse of the eigenvalues of A. We use lambdaMax and eigRatio to determine the Chebyshev iteration coefficients. This parameter is optional and defaults to 30.
• "chebyshev: min eigenvalue" (ScalarType): lambdaMin, a lower bound of real part of bounding ellipse of eigenvalues of the matrix A. This parameter is optional and only used for a quick check if the matrix is the identity matrix (if lambdaMax == lambdaMin == 1).
Parameters that govern the number of Chebyshev iterations:
• "chebyshev: degree" (int): numIters, the number of iterations. This overrides "relaxation: sweeps" and "smoother: sweeps" (see below).
• "relaxation: sweeps" (int): numIters, the number of iterations. We include this for compatibility with Ifpack. This overrides "smoother: sweeps" (see below).
• "smoother: sweeps" (int): numIters, as above. We include this for compatibility with ML.
Parameters that govern eigenvalue analysis:
• "chebyshev: eigenvalue max iterations" (int): eigMaxIters, the number of power method iterations used to compute the maximum eigenvalue. This overrides "eigen-analysis: iterations" (see below).
• "eigen-analysis: iterations" (int): eigMaxIters, as above. We include this parameter for compatibility with ML.
• "eigen-analysis: type" (std::string): The algorithm to use for estimating the max eigenvalue. This parameter is optional. Currently, we only support "power-method" (or "power method"), which is what Ifpack::Chebyshev uses for eigenanalysis. We include this parameter for compatibility with ML.
Parameters that govern other algorithmic details:
• "chebyshev: operator inv diagonal" (RCP<const V> or const V*): If nonnull, we will use a deep copy of this vector for left scaling as the inverse diagonal of the matrix A, instead of computing the inverse diagonal ourselves. We will make a copy every time you call setParameters(). If you ever call setParameters() without this parameter, we will clear our copy and compute the inverse diagonal ourselves again. You are responsible for updating this if the matrix has changed.
• "chebyshev: min diagonal value" (ST): minDiagVal. If any entry of the diagonal of the matrix is less than this in magnitude, it will be replaced with this value in the inverse diagonal used for left scaling.
• "chebyshev: zero starting solution" (bool): If true, then always use the zero vector(s) as the initial guess(es). If false, then apply() will use X on input as the initial guess(es).
Parameters that govern backwards compatibility:
• "chebyshev: textbook algorithm" (bool): If true, use the textbook version of Chebyshev iteration. We recommend against this, since the default algorithm is less sensitive to the quality of the eigenvalue bounds.
• "chebyshev: compute max residual norm" (bool): If true, apply() will compute and return the max (absolute) residual norm. Otherwise, apply() returns 0. This defaults to false.
Precondition:
lambdaMin, lambdaMax, and eigRatio are real
0 < lambdaMin <= lambdaMax
numIters >= 0
eigMaxIters >= 0
Default settings for parameters relating to spectral bounds come from Ifpack.
template<class ScalarType , class MV , class MAT >
void Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::compute ( )
(Re)compute the left scaling, and (if applicable) estimate max and min eigenvalues of D_inv * A.
You must call this method before calling apply(),
• if you have not yet called this method,
• if the matrix (either its values or its structure) has changed, or
• any time after you call setParameters().
Advanced users may omit calling compute() after calling setParameters(), as long as none of the changed parameters affect either computation of the inverse diagonal, or estimation of the max or min eigenvalues.
If estimation of the eigenvalues is required, this method may take as long as several Chebyshev iterations.
template<class ScalarType , class MV, class MAT >
Chebyshev< ScalarType, MV, MAT >::MT Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::apply ( const MV & B, MV & X )
Solve Ax=b for x with Chebyshev iteration with left diagonal scaling.
Parameters:
B [in] Right-hand side(s) in the linear system to solve. X [in] Initial guess(es) for the linear system to solve.
If the "chebyshev: compute max residual norm" parameter is true (not the default), then this method returns the maximum (over all columns) absolute residual 2-norm after iterating. Otherwise, it returns zero.
Warning:
If you did not set the "chebyshev: zero starting solution" parameter to true, then this method will use X as the starting guess for Chebyshev iteration. If you did not initialize X before calling this method, then the resulting solution will be undefined, since it will be computed using uninitialized data.
template<class ScalarType , class MV , class MAT >
Teuchos::RCP< const MAT > Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::getMatrix ( ) const
Get the matrix given to the constructor.
template<class ScalarType , class MV , class MAT >
bool Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::hasTransposeApply ( ) const
Whether it's possible to apply the transpose of this operator.
template<class ScalarType , class MV , class MAT >
void Ifpack2::Details::Chebyshev< ScalarType, MV, MAT >::print ( std::ostream & out )
Print instance data to the given output stream.
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https://pos.sissa.it/358/434/ | Volume 358 - 36th International Cosmic Ray Conference (ICRC2019) - CRI - Cosmic Ray Indirect
Analysis of Data from Surface Detector Stations of the AugerPrime Upgrade
A. Taboada* on behalf of the Pierre Auger Collaboration
Full text: pdf
Pre-published on: July 22, 2019
Published on: July 02, 2021
Abstract
Measuring the different components of extensive air showers is of key importance in reconstructing the mass composition of ultra-high energy cosmic rays. AugerPrime, the upgrade of the Pierre Auger Observatory, aims to enhance the sensitivity of its surface detector to the masses of cosmic rays by installing a $3.8~\mathrm{m^2}$ plastic scintillator detector on top of each of the 1660 Water-Cherenkov Detectors (WCDs). This Scintillator Surface Detector (SSD) provides a complementary measurement which allows for disentanglement of the electromagnetic and muonic shower components. Another important improvement of AugerPrime are the surface-detector electronics. The new electronics will process signals from the WCD and the SSD with higher sampling frequency and enhanced resolution in signal amplitude. Furthermore, a smaller photomultiplier tube will be added to each WCD, thus increasing its dynamic range. Twelve upgraded surface detector stations have been operating since September 2016. Additionally, seventy-seven SSDs have been deployed and are taking data since March 2019. In this work, the analysis of the data from these detectors is presented.
DOI: https://doi.org/10.22323/1.358.0434
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.
Open Access
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https://www.zbmath.org/authors/?q=rv%3A163 | ## Boffi, Vinicio C.
Compute Distance To:
Author ID: boffi.vinicio-c Published as: Boffi, V. C.; Boffi, Vinicio; Boffi, Vinicio C.; Boffi, V. more...less External Links: Wikidata · IdRef
Documents Indexed: 53 Publications since 1960 5 Contributions as Editor Reviewing Activity: 219 Reviews Biographic References: 2 Publications Co-Authors: 30 Co-Authors with 48 Joint Publications 471 Co-Co-Authors
all top 5
### Co-Authors
8 single-authored 22 Spiga, Giampiero 4 Molinari, Vincenzo G. 4 Rossani, Alberto 3 Ganapol, Barry D. 3 Nonnenmacher, Theo F. 2 Dukek, Günter 2 Knoke, F. 2 Magnavacca, A. 2 Neunzert, Helmut 2 Santarelli, F. 2 Stramigioli, C. 2 Toscani, Giuseppe 1 Azmy, Yousry Y. 1 Bampi, Franco 1 Bowden, Robert L. 1 Caraffini, Gian Luca 1 Cercignani, Carlo 1 de Socio, Luciano M. 1 Franceschini, Valter 1 Gaffuri, Giovanni 1 Malvagi, F. 1 Mandrekas, J. 1 Menon, S. V. G. 1 Pescatore, Claudio 1 Pomraning, Gerald C. 1 Premuda, Francesco 1 Protopopescu, Vladimir A. 1 Rionero, Salvatore 1 Thomas, J. R. jun. 1 Torrisi, Mariano
all top 5
### Serials
9 Transport Theory and Statistical Physics 9 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Meccanica 6 Journal of Mathematical Physics 3 International Journal of Engineering Science 2 Physics of Fluids 2 Annals of Physics 2 Il Nuovo Cimento, X. Series 1 International Journal of Heat and Mass Transfer 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Il Nuovo Cimento, Supplemento, X. Series 1 Lecture Notes in Mathematics 1 Series on Advances in Mathematics for Applied Sciences 1 Il Nuovo Cimento, X. Series, B
all top 5
### Fields
33 Fluid mechanics (76-XX) 29 Statistical mechanics, structure of matter (82-XX) 22 Integral equations (45-XX) 6 Partial differential equations (35-XX) 6 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 2 Integral transforms, operational calculus (44-XX) 2 Astronomy and astrophysics (85-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)
### Citations contained in zbMATH Open
33 Publications have been cited 122 times in 72 Documents Cited by Year
An equation of Hammerstein type arising in particle transport theory. Zbl 0526.45009
Boffi, V. C.; Spiga, G.
1983
On the solutions to a class of nonlinear integral equations arising in transport theory. Zbl 0567.45008
Spiga, G.; Bowden, R. L.; Boffi, V. C.
1984
Nonlinear removal effects in time-dependent particle transport theory. Zbl 0528.76082
Boffi, V. C.; Spiga, G.
1983
Dynamics of a gas mixture in an extended kinetic theory. Zbl 0586.76137
Boffi, V. C.; Franceschini, V.; Spiga, G.
1985
Extended kinetic theory for gas mixtures in the presence of removal and regeneration effects. Zbl 0587.76130
Boffi, V. C.; Spiga, G.
1986
Rigorous iterated solutions to a nonlinear integral evolution problem in particle transport theory. Zbl 0502.76090
Boffi, V. C.; Spiga, G.
1982
Global solution to a nonlinear integral evolution problem in particle transport theory. Zbl 0507.70011
Boffi, V. C.; Spiga, G.
1982
Linear integral transformations generated by the three-dimensional neutron transport kernel. Zbl 0272.44004
Boffi, V. C.; Spiga, G.
1973
Evaluation of the electrical conductivity via the time-dependent integral Boltzmann equation. Zbl 0488.76082
Ganapol, B. D.; Boffi, V. C.
1981
Nonlinear diffusion of test particles in the presence of an external conservative force. Zbl 0501.76066
Boffi, V. C.; Spiga, G.
1982
Solution to the Boltzmann equation for monoenergetic neutrons in a slab. Zbl 0206.41502
Boffi, V. C.; Molinari, V. G.
1970
Convergence in the mean of solutions to the neutron integral Boltzmann equation in three-dimensional systems. Zbl 0254.45017
Boffi, V. C.; Premuda, F.; Spiga, G.
1973
Rigorous constructive solution to monodimensional Poiseuille and thermal creep flows. Zbl 0398.76061
Boffi, Vinicio; De Socio, Luciano; Gaffuri, Giovanni; Pescatore, Claudio
1976
The multiple collision method in solving the Boltzmann equation for time- dependent test particle transport. Zbl 0492.76078
Ganapol, B. D.; Boffi, V. C.
1980
On the slowing down of neutrons in an homogeneous infinite medium. Zbl 0105.43303
Boffi, Vinicio C.
1960
A Riemann-Hilbert boundary value problem in neutron transport theory. Zbl 0183.10203
Boffi, V. C.; Molinari, V. G.
1969
Exact time-dependent solutions to the nonlinear Boltzmann equation. Zbl 0613.76082
Boffi, V. C.; Spiga, G.
1986
Exact and asymptotic solution of the energy-dependent Boltzmann equation in the study of the neutron slowing down. Zbl 0128.23502
Boffi, V. C.; Knoke, F.; Molinari, V. G.; Scozzafava, R.
1964
The constant collision frequency model for electrical conductivity. Zbl 0528.76108
Ganapol, B. D.; Boffi, V. C.
1982
Integral transport theory for test particles in the presence of a time- dependent conservative force. Zbl 0577.76085
Boffi, V. C.; Nonnenmacher, T.
1984
Solution of a nonlinear integral equation arising in particle transport theory. Zbl 0579.65145
Boffi, V. C.; Spiga, G.; Thomas, J. R. jun.
1985
Solution methods for discrete-state Markovian initial value problems. Zbl 0709.65124
Boffi, V. C.; Malvagi, F.; Pomraning, G. C.
1990
On the Boltzmann system for a mixture of reacting gases. Zbl 0699.76087
Boffi, V. C.; Rossani, A.
1990
Solution to the monoenergetic neutron Boltzmann equation for a finite parallelepiped. Zbl 0289.45019
Boffi, V. C.; Molinari, V. G.
1971
Calculation of the number densities in an extended kinetic theory of gas mixtures. Zbl 0622.76081
Boffi, V. C.; Spiga, G.
1987
Lie group analysis for a multispecies, spatially inhomogeneous, mutually interacting gas mixture. Zbl 0756.76065
Azmy, Y. Y.; Boffi, V. C.; Mandrekas, J.; Protopopescu, V.
1992
On the exact theory of the slowing-down of neutrons in an infinite homogeneous medium. Zbl 0113.46504
Boffi, V.
1961
Slowing-down of neutrons by mixtures. Zbl 0125.25105
Boffi, V. C.; Knoke, F.
1965
Anisotropy of the scattering in space-time neutron transport theory. Zbl 0144.48305
Boffi, V. C.; Trombetti, T.
1967
A first-order linear differential-difference equation with N delays. Zbl 0189.40102
Boffi, V.; Scozzafava, R.
1967
Methods of similarity analysis in the study of nonlinear dynamics of a gas mixture. Zbl 0716.35066
Boffi, Vinicio C.; Torrisi, Mariano
1990
Similarity solutions to a nonlinear model for the nuclear breeding process. Zbl 0783.35032
Boffi, V. C.; Caraffini, G. L.
1993
Transients of current density in linear particle transport theory. Zbl 0636.76078
Boffi, V. C.; Rossani, A.
1986
Similarity solutions to a nonlinear model for the nuclear breeding process. Zbl 0783.35032
Boffi, V. C.; Caraffini, G. L.
1993
Lie group analysis for a multispecies, spatially inhomogeneous, mutually interacting gas mixture. Zbl 0756.76065
Azmy, Y. Y.; Boffi, V. C.; Mandrekas, J.; Protopopescu, V.
1992
Solution methods for discrete-state Markovian initial value problems. Zbl 0709.65124
Boffi, V. C.; Malvagi, F.; Pomraning, G. C.
1990
On the Boltzmann system for a mixture of reacting gases. Zbl 0699.76087
Boffi, V. C.; Rossani, A.
1990
Methods of similarity analysis in the study of nonlinear dynamics of a gas mixture. Zbl 0716.35066
Boffi, Vinicio C.; Torrisi, Mariano
1990
Calculation of the number densities in an extended kinetic theory of gas mixtures. Zbl 0622.76081
Boffi, V. C.; Spiga, G.
1987
Extended kinetic theory for gas mixtures in the presence of removal and regeneration effects. Zbl 0587.76130
Boffi, V. C.; Spiga, G.
1986
Exact time-dependent solutions to the nonlinear Boltzmann equation. Zbl 0613.76082
Boffi, V. C.; Spiga, G.
1986
Transients of current density in linear particle transport theory. Zbl 0636.76078
Boffi, V. C.; Rossani, A.
1986
Dynamics of a gas mixture in an extended kinetic theory. Zbl 0586.76137
Boffi, V. C.; Franceschini, V.; Spiga, G.
1985
Solution of a nonlinear integral equation arising in particle transport theory. Zbl 0579.65145
Boffi, V. C.; Spiga, G.; Thomas, J. R. jun.
1985
On the solutions to a class of nonlinear integral equations arising in transport theory. Zbl 0567.45008
Spiga, G.; Bowden, R. L.; Boffi, V. C.
1984
Integral transport theory for test particles in the presence of a time- dependent conservative force. Zbl 0577.76085
Boffi, V. C.; Nonnenmacher, T.
1984
An equation of Hammerstein type arising in particle transport theory. Zbl 0526.45009
Boffi, V. C.; Spiga, G.
1983
Nonlinear removal effects in time-dependent particle transport theory. Zbl 0528.76082
Boffi, V. C.; Spiga, G.
1983
Rigorous iterated solutions to a nonlinear integral evolution problem in particle transport theory. Zbl 0502.76090
Boffi, V. C.; Spiga, G.
1982
Global solution to a nonlinear integral evolution problem in particle transport theory. Zbl 0507.70011
Boffi, V. C.; Spiga, G.
1982
Nonlinear diffusion of test particles in the presence of an external conservative force. Zbl 0501.76066
Boffi, V. C.; Spiga, G.
1982
The constant collision frequency model for electrical conductivity. Zbl 0528.76108
Ganapol, B. D.; Boffi, V. C.
1982
Evaluation of the electrical conductivity via the time-dependent integral Boltzmann equation. Zbl 0488.76082
Ganapol, B. D.; Boffi, V. C.
1981
The multiple collision method in solving the Boltzmann equation for time- dependent test particle transport. Zbl 0492.76078
Ganapol, B. D.; Boffi, V. C.
1980
Rigorous constructive solution to monodimensional Poiseuille and thermal creep flows. Zbl 0398.76061
Boffi, Vinicio; De Socio, Luciano; Gaffuri, Giovanni; Pescatore, Claudio
1976
Linear integral transformations generated by the three-dimensional neutron transport kernel. Zbl 0272.44004
Boffi, V. C.; Spiga, G.
1973
Convergence in the mean of solutions to the neutron integral Boltzmann equation in three-dimensional systems. Zbl 0254.45017
Boffi, V. C.; Premuda, F.; Spiga, G.
1973
Solution to the monoenergetic neutron Boltzmann equation for a finite parallelepiped. Zbl 0289.45019
Boffi, V. C.; Molinari, V. G.
1971
Solution to the Boltzmann equation for monoenergetic neutrons in a slab. Zbl 0206.41502
Boffi, V. C.; Molinari, V. G.
1970
A Riemann-Hilbert boundary value problem in neutron transport theory. Zbl 0183.10203
Boffi, V. C.; Molinari, V. G.
1969
Anisotropy of the scattering in space-time neutron transport theory. Zbl 0144.48305
Boffi, V. C.; Trombetti, T.
1967
A first-order linear differential-difference equation with N delays. Zbl 0189.40102
Boffi, V.; Scozzafava, R.
1967
Slowing-down of neutrons by mixtures. Zbl 0125.25105
Boffi, V. C.; Knoke, F.
1965
Exact and asymptotic solution of the energy-dependent Boltzmann equation in the study of the neutron slowing down. Zbl 0128.23502
Boffi, V. C.; Knoke, F.; Molinari, V. G.; Scozzafava, R.
1964
On the exact theory of the slowing-down of neutrons in an infinite homogeneous medium. Zbl 0113.46504
Boffi, V.
1961
On the slowing down of neutrons in an homogeneous infinite medium. Zbl 0105.43303
Boffi, Vinicio C.
1960
all top 5
### Cited by 94 Authors
21 Boffi, Vinicio C. 16 Spiga, Giampiero 6 Darwish, Mohamed Abdalla 3 Pomraning, Gerald C. 3 Rossani, Alberto 3 Vianello, Marco 2 Gaffuri, Giovanni 2 Ganapol, Barry D. 2 Garcia, Roberto D. M. 2 Meleshko, Sergey V. 2 Nonnenmacher, Theo F. 2 Premuda, Francesco 2 Schürrer, Ferdinand 2 Sommariva, Alvise 2 Suriyawichitseranee, Amornrat 1 Afonso, Suzete Maria 1 Ali, Javid 1 Alyami, Maryam Ahmed 1 Azevedo, Juarez S. 1 Bobylev, Alexandre Vasiljévitch 1 Bowden, Robert L. 1 Busoni, Giorgio 1 Caballero, Josefa 1 Caraffini, Gian Luca 1 Cardinali, Tiziana 1 Cercignani, Carlo 1 Cornille, Henri 1 da Silva, Mariana P. G. 1 Das, Anupam 1 De Florio, Mario 1 de Socio, Luciano M. 1 Dehesa, Jesús S. 1 Dogbé, Christian 1 Dorning, John J. 1 Dukek, Günter 1 Elabsy, A. M. 1 Espesset, Aude 1 Fotros, Forough 1 Frosali, Giovanni 1 Furfaro, Roberto 1 Gardini, Laura 1 Germano, Bruna 1 Grandjean, Philippe 1 Griehsnig, P. 1 Grigor’ev, Yu. N. 1 Guerriero, Gabriele 1 Hadj Amor, Sana 1 Haque, Inzamamul 1 Hazarika, Bipan 1 Henderson, Johnny Lee 1 Holloway, James Paul 1 İnönü, Erdal 1 Khchine, Abdelmjid 1 Knoke, F. 1 Küchler, Uwe 1 Kügerl, Georg 1 Lampis, Maria 1 Li, Gang 1 Lupini, Renzo 1 Madkour, M. A. 1 Magnavacca, A. 1 Majorana, Armando 1 Malvagi, F. 1 Mangiarotti, Luigi 1 Maniar, Lahcen 1 Marano, Salvatore Angelo 1 Marinescu, Dorin 1 Mensch, Beatrice 1 Messia, Maria Grazia 1 Molinari, Vincenzo G. 1 Ntouyas, Sotiris K. 1 Oliveira, Saulo Pomponet 1 Panda, Sumati Kumari 1 Prelati, G. P. 1 Prinja, Anil K. 1 Ricci, Paolo Emilio 1 Richman, Mark W. 1 Rionero, Salvatore 1 Rubbioni, Paola 1 Rupp, Daniela 1 Rzepka, Beata 1 Sadarangani, Kishin B. 1 Schaler, M. 1 Schiassi, Enrico 1 Sgarra, Carlo 1 Shahsavaran, Ahmad 1 Siewert, Charles E. 1 Spiga, Marco 1 Taoudi, Mohamed Aziz 1 Traiki, Abdelhak 1 Trombetti, Tullio 1 Yáñez, Rafael J. 1 Zarzo, Alejandro 1 Zhu, Tao
all top 5
### Cited in 28 Serials
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Meccanica 8 Transport Theory and Statistical Physics 7 Journal of Mathematical Physics 4 Journal of Integral Equations and Applications 3 Journal of Statistical Physics 2 Computers & Mathematics with Applications 2 Journal of Mathematical Analysis and Applications 2 Il Nuovo Cimento, X. Series 2 Journal of Function Spaces 1 Applicable Analysis 1 Astrophysics and Space Science 1 Journal of Mathematical Biology 1 Rocky Mountain Journal of Mathematics 1 Physics of Fluids, A 1 Chaos, Solitons and Fractals 1 Applied Mathematics and Computation 1 Journal of Computational and Applied Mathematics 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Stochastics and Stochastics Reports 1 Computational and Applied Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Communications in Nonlinear Science and Numerical Simulation 1 Mathematical Modelling and Analysis 1 Fixed Point Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
all top 5
### Cited in 20 Fields
36 Integral equations (45-XX) 27 Fluid mechanics (76-XX) 27 Statistical mechanics, structure of matter (82-XX) 15 Operator theory (47-XX) 9 Numerical analysis (65-XX) 5 Real functions (26-XX) 5 Partial differential equations (35-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Biology and other natural sciences (92-XX)
### Wikidata Timeline
The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata. | 2022-07-07T14:19:30 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7299346923828125, "perplexity": 12208.806322481629}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-27/segments/1656104692018.96/warc/CC-MAIN-20220707124050-20220707154050-00225.warc.gz"} |
https://wlresources.dpi.wi.gov/authoring/1762-check-your-work/view | Overview / Description:
This lesson will help students understand why it is important to check their work after they complete a math problem. They will be searching other students work to find a mistake in the work they completed.
Learning goals/objectives:
After completing this activity, students should be able to . . .
• check their work.
• explain their work.
• understand the importance of checking their work for mistakes.
Content Standards:
Wisconsin Standards for Mathematics
Mathematical Practices
Make sense of problems and persevere in solving them.
Construct viable arguments and critique the reasoning of others.
Attend to precision.
Algebra: Reasoning with Equations and Inequalities
CCSS.MATH.CONTENT.HSA.REI.A.1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Educational Frameworks
B-LS 1. Demonstrate critical-thinking skills to make informed decisions
B-LS 9. Gather evidence and consider multiple perspectives to make informed decisions
Materials:
This can be used with any type of solving unit. I will be using this in my Tech Math class in our solving equations unit.
The teacher should have enough problems for one for each student. Multiple students could solve the same question.
Assessment:
Teacher will collect the papers that have been completed and check over what the students completed.
Exit Slip: List two ways you will pay attention to the quality of your work in the next week.
Wrap-Up:
Class discussion why checking your work is important.
Extension Activity (for intervention or enrichment):
Students could video their response and where they found the mistakes.
Differentiation - students could work in pairs to create an incorrect problem and to correct the problem in another pair's work. | 2022-05-29T09:39:33 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 1, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4957549273967743, "perplexity": 1613.1233002747422}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2022-21/segments/1652663048462.97/warc/CC-MAIN-20220529072915-20220529102915-00451.warc.gz"} |
https://webarchive.nationalarchives.gov.uk/20110810103412/http:/teachingandlearningresources.org.uk/node/24878 | # Step 1
Recognise unit fractions such as $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$, $\frac{1}{5}$, $\frac{1}{10}$ … and use them to find fractions of shapes and numbers
### Probing questions
• What numbers are easy to find a third/quarter/fifth/tenth of? Why?
• If I cut a cake into four pieces will each piece be a quarter?
### What if pupils find this a barrier?
Use a counting stick to discuss halves and tenths. Some pupils think if there are two parts each must be a half – emphasise that the parts need to be equal.
Mathematics ITP: Fractions (SWF-18 KB) Attachments can provide a useful visual image for pupils. | 2019-06-19T03:41:11 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 5, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.5267435908317566, "perplexity": 2217.8877345218375}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-26/segments/1560627998882.88/warc/CC-MAIN-20190619023613-20190619045613-00080.warc.gz"} |
http://www-spires.fnal.gov/spires/find/books/www?keyword=Functions+of+real+variables | Fermilab Core Computing Division
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SPIRES-BOOKS: FIND KEYWORD FUNCTIONS OF REAL VARIABLES *END*INIT* use /tmp/qspiwww.webspi1/8403.22 QRY 131.225.70.96 . find keyword functions of real variables ( in books using www
Call number: SPRINGER-2011-9781441998132:ONLINE Show nearby items on shelf Title: Nonelliptic Partial Differential Equations [electronic resource] : Analytic Hypoellipticity and the Courage to Localize High Powers of T Author(s): David S Tartakoff Date: 2011 Publisher: New York, NY : Springer New York Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: This book fills a real gap in the analytical literature. After many years and many results of analytic regularity for partial differential equations, the only access to the technique known as $(T^p)_\phi$ has remained embedded inthe research papers t hemselves, making it difficult for a graduate student or a mature mathematician in another discipline to master the technique and use it to advantage. This monograph takes a particularly non-specialist approach,one might even say gentle, to smoothly bring the reader into the heart of the technique and its power, and ultimately to show many of the results it has been instrumental in proving. Another technique developed simultaneously by F.Treves is developed and compared and contrasted to ours. The techni ques developed here are tailored to proving real analytic regularity to solutions of sums of squares of vector fields with symplectic characteristic variety andothers, real and complex. The motivation came from the field of several complex variables and t he seminal work of J. J. Kohn. It has found application in non-degenerate (strictly pseudo-convex) and degenerate situations alike, linearand non-linear, partial and pseudo-differential equations, real and complex analysis. The technique is utterly elemen tary, involving powers of vector fields and carefully chosen localizing functions. No knowledge of advancedtechniques, such as the FBI transform or the theory of hyperfunctions is required. In fact analyticity is proved using only $C^\infty$ techniques. The book is intended for mathematicians from graduate students up, whether inanalysis or not, who are curious which non-elliptic partial differential operators have the property that all solutions must be real analytic. Enough background is provided to pr epare the reader with it for a clear understanding of thetext, although this is not, and does not need to be, very extensive. In fact, it is very nearly true that if the reader is willing to accept Note: Springer eBooks Contents: 1. What this book is and is not 2. Brief Introduction 3.Overview of Proofs 4. Full Proof for the Heisenberg Group 5. Coefficients 6. Pseudo differential Problems 7. Sums of Squares and Real Vector Fields 8. \bar{\partial} Neumann and the Boundary Laplacian 9. Symmetric Degeneracies 10. Details of the Previous Chapter 11. Non symplectic Strategem ahe 12.Operators of Kohn Type Which Lose Derivatives 13. Non linear Problems 14. Treves' Approach 15. Appendix Bibliography ISBN: 9781441998132 Series: e-books Series: SpringerLink (Online service) Series: Developments in Mathematics, 1389-2177 : v22 Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Global analysis (Mathematics) , Differential equations, partial Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE
Call number: SPRINGER-2010-9788847017849:ONLINE Show nearby items on shelf Title: Mathematical Analysis II [electronic resource] Author(s): Claudio Canuto Anita Tabacco Date: 2010 Publisher: Milano : Springer Milan Size: 1 online resource Note: Springer e-book platform Note: Springer 2013 e-book collections Note: The purpose of this textbook is to present an array of topics in Calculus, and conceptually follow our previous effort Mathematical Analysis I.The present material is partly found, in fact, in the syllabus of the typical secondlecture course in Calcu lus as offered in most Italian universities. While the subject matter known as Calculus 1' is more or less standard, and concerns real functions of real variables, the topics of a course on Calculus 2'can varya lot, resulting in a bigger flexibility. Fo r these reasons the Authors tried to cover a wide range of subjects, not forgetting that the number of credits the current programme specifications confers to a second Calculus course is notcomparable to the amount of content gathered here. The reminders disseminated in the text make the chapters more independent from one another, allowing the reader to jump back and forth, and thus enhancing the versatility of the book.On the website: http://calvino.polito.it/canuto-tabacco/analisi 2, the interested read er may find the rigorous explanation of the results that are merely stated without proof in the book, together with useful additional material. TheAuthors have completely omitted the proofs whose technical aspects prevail over the fundamental notions and ideas. The large number of exercises gathered according to the main topics at the end of each chapter should help the studentput his improvements to the test. The solution to all exercises is provided, and very often the procedure for solving is outlined Note: Springer eBooks ISBN: 9788847017849 Series: e-books Series: SpringerLink (Online service) Series: Universitext Series: Mathematics and Statistics (Springer-11649) Keywords: Mathematics , Global analysis (Mathematics) , Functional analysis , Differential Equations , Differential equations, partial Availability: Click here to see Library holdings or inquire at Circ Desk (x3401) Click to reserve this book Be sure to include your ID please. More info: Amazon.com More info: Barnes and Noble Full Text: Click here Location: ONLINE | 2019-04-18T18:16:00 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.4531647264957428, "perplexity": 2836.785028747845}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-18/segments/1555578526228.27/warc/CC-MAIN-20190418181435-20190418202402-00025.warc.gz"} |
https://large-numbers.fandom.com/wiki/Templates | ## FANDOM
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Community content is available under CC-BY-SA unless otherwise noted. | 2019-12-14T08:34:51 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.254748672246933, "perplexity": 2625.5000603436974}, "config": {"markdown_headings": true, "markdown_code": false, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-51/segments/1575540585566.60/warc/CC-MAIN-20191214070158-20191214094158-00401.warc.gz"} |
https://pbn.nauka.gov.pl/pbn-report-web/pages/publication/id/5ab108ebd5defde9ca77942c | Thermodynamic analysis of power generation cycles with high-temperature gas-cooled nuclear reactor and additional coolant heating up to $1600 ^{\circ}$C
PBN-AR
Instytucja
Wydział Energetyki i Paliw (Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie)
##### Informacje podstawowe
Główny język publikacji
EN
Czasopismo
Journal of Energy Resources Technology-Transactions of the ASME (25pkt w roku publikacji)
ISSN
0195-0738
EISSN
1528-8994
Wydawca
The Americal Society of Mechanical Engineers ASME
DOI
Rok publikacji
2018
Numer zeszytu
2, art. no. 020906
Strony od-do
020906-1--020906-7
Numer tomu
140
Identyfikator DOI
Liczba arkuszy
0.5
##### Autorzy
(liczba autorów: 4)
Pozostali autorzy
+ 1
##### Słowa kluczowe
EN
high-temperature goas-cooled nuclear reactor (HTGR)
##### Streszczenia
Język
EN
Treść
Nuclear energy is one of the possibilities ensuring energy security, environmental protection, and high energy efficiency. Among many newest solutions, special attention is paid to the medium size high-temperature gas-cooled reactors (HTGR) with wide possible applications in electric energy production and district heating systems. Actual progress can be observed in the literature and especially in new projects. The maximum outlet temperature of helium as the reactor cooling gas is about 1000 °C which results in the relatively low energy efficiency of the cycle not greater than 40–45% in comparison to 55–60% of modern conventional power plants fueled by natural gas or coal. A significant increase of energy efficiency of HTGR cycles can be achieved with the increase of helium temperature from the nuclear reactor using additional coolant heating even up to 1600 °C in heat exchanger/gas burner located before gas turbine. In this paper, new solution with additional coolant heating is presented. Thermodynamic analysis of the proposed solution with a comparison to the classical HTGR cycle will be presented showing a significant increase of energy efficiency up to about 66%.
original article
peer-reviewed
##### Inne
System-identifier
idp:112160
Crossref
###### Cytowania
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###### Referencje
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Brak danych | 2019-12-13T10:06:14 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.27357685565948486, "perplexity": 9484.940212286523}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-51/segments/1575540553486.23/warc/CC-MAIN-20191213094833-20191213122833-00060.warc.gz"} |
https://www.usgs.gov/publications/effects-agricultural-land-use-changes-and-rainfall-ground-water-recharge-central-and | # Effects of Agricultural Land-Use Changes and Rainfall on Ground-Water Recharge in Central and West Maui, Hawaii, 1926-2004
September 22, 2007
Concern surrounding declines in ground-water levels and an increase in the chloride concentration of water pumped from wells in the Iao aquifer system on the Island of Maui has prompted an investigation into the long-term sustainability of current (2006) and future ground-water withdrawals. As part of this investigation, a water budget for central and west Maui was calculated from which (1) ground-water recharge was estimated for the period 1926-2004 and (2) the effects of agricultural land-use changes and drought were analyzed.
Estimated mean ground-water recharge decreased 44 percent from 1979 to 2004 in central and west Maui. Reduction in agricultural irrigation, resulting from more efficient irrigation methods and a reduction in the acreage used for agriculture, is largely responsible for the declining recharge. Recently, periods of lower-than-average rainfall have further reduced recharge. During the period 1926-79, ground-water recharge averaged 693 Mgal/d, irrigation averaged 437 Mgal/d, and rainfall averaged 897 Mgal/d. During the period 2000-04, ground-water recharge averaged 391 Mgal/d, irrigation averaged 237 Mgal/d, and rainfall averaged 796 Mgal/d.
Simulations of hypothetical future conditions indicate that a cessation of agriculture in central and west Maui would reduce mean ground-water recharge by 18 percent in comparison with current conditions, assuming that current climatic conditions are the same as the long-term-average conditions during the period 1926-2004. A period of drought identical to that of 1998-2002 would reduce mean recharge by 27 percent. Mean recharge would decrease by 46 percent if this drought were to occur after a cessation of agriculture in central and western Maui. Whereas droughts are transient phenomena, a reduction in agricultural irrigation is likely a permanent condition.
## Citation Information
Publication Year 2007 Effects of Agricultural Land-Use Changes and Rainfall on Ground-Water Recharge in Central and West Maui, Hawaii, 1926-2004 10.3133/sir20075103 John A. Engott, Thomas T. Vana Report USGS Numbered Series Scientific Investigations Report 2007-5103 sir20075103 USGS Publications Warehouse Pacific Islands Water Science Center | 2023-02-03T11:38:57 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3435148000717163, "perplexity": 12262.224043972523}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2023-06/segments/1674764500044.66/warc/CC-MAIN-20230203091020-20230203121020-00086.warc.gz"} |
https://pos.sissa.it/363/013/ | Volume 363 - 37th International Symposium on Lattice Field Theory (LATTICE2019) - Main session
Interglueball potential in SU(N$_c$) lattice gauge theory
N. Yamanaka,* H. Iida, A. Nakamura, M. Wakayama
*corresponding author
Full text: pdf
Pre-published on: January 03, 2020
Published on:
Abstract
We report on our calculation of the interglueball potentials in $SU(2)$, $SU(3)$, and $SU(4)$ lattice Yang-Mills theories using the indirect (so-called HAL QCD) method. We use the cluster decomposition error reduction technique to improve the statistical accuracy of the glueball correlators. After calculating the glueball scattering cross section in $SU(2)$ Yang-Mills theory and combining with the observational data of the dark matter mass distributions, we derive the lower limit on the scale parameter.
How to cite
Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.
Open Access
Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | 2020-08-15T05:40:09 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.2831364572048187, "perplexity": 2602.24650816146}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.3, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-34/segments/1596439740679.96/warc/CC-MAIN-20200815035250-20200815065250-00171.warc.gz"} |
https://flyingcoloursmaths.co.uk/why-sohcahtoa-is-stupid-and-what-you-can-do-instead/ | My dad tells me that, above the blackboard in his 1960s Scottish high school, was a banner with the letters ‘SOH CAH TOA’ written out on it. Any questions about the banner were brushed off with a smile and ‘you’re not old enough to learn about SOH CAH TOA yet.”
Which, I have to concede, is a great way to pique kids’ interest in the topic. I’ve often wondered about the idea of telling students they’re not old enough to know about maths yet, it’s for over-16s only - and then let them get on with finding out the details on the sly.
### However, SOH CAH TOA is stupid - there, I said it
There are - if you count the SOH CAH TOA way - 11 types of right-angled triangle questions. (Finding the hypotenuse or a leg ((a short side’)) given the other two sides; three versions of finding the angle given the other two sides; and six versions of finding one side given an angle and another side.) If you ask me - and I suggest you do - that’s silly.
I say there are only two kinds of right-angled triangle problem: finding an angle if you know all the sides and finding a side if you know all the angles and a side. And all you need to know in order to solve all of these things: Pythagoras and the sine rule.
### Pythagoras
Now, you know Pythagoras. The square on the hypotenuse is equal to the sum of the squares on the other two sides - or, if you prefer, $opp^2 + adj^2 = hyp^2$. (I prefer this to $a^2 + b^2 = c^2$ because it tells you which side is which.) That means:
• if you know the two short sides, you square them, add them up and square root the answer to get the hypotenuse;
• if you know the hypotenuse and a leg, you square them, take them away (bigger minus smallest, of course) and square root the answer to get the other leg.
That’s straightforward. If you’re solving triangles the Table of Joy way, it usually makes sense to find the last side, just in case you need it.
### The other angle
Oh! If you have two angles of a triangle, it’s easy to find the third, isn’t it? Especially if one of them happens to be a right angle. You simply work out $\frac{\pi}{2}$ minus the other angle.
What’s that?
Oh, fine. If you MUST use degrees (radians are much better), it’s 90 minus the other angle.
### The Sine Rule
At GCSE, you get given the sine rule on the front of the paper. At A-level, nope, you have to remember it. It’s not exactly difficult, though:
$\\frac{a}{\\sin(A)} = \\frac{b}{\\sin(B)} = \\frac{c}{\\sin(C)}$
What you do once you have either all three sides (and the right angle, don’t forget) or all three angles (and a side), is label the corners of the triangle like the picture, with each angle (a big letter) opposite its corresponding little letter.
Also, write out the sine rule, and put a circle around all of the information you have, and a square around the thing you don’t know. If there’s a fraction with one of its numbers unshaped, that’s fine - just cross it out. Neatly.
### The Sine Rule with the Table of Joy
Here comes the clever bit! You can even do this without drawing the whole table - but if you’re curious, you can buy Basic Maths For Dummies and/or Numeracy Tests For Dummies to see exactly how the Table of Joy works.
Here’s what you do:
1. Rewrite your fractions with numbers in the appropriate places and a question mark in the missing space.
2. Find the number diagonally opposite the question mark and write it on the bottom of a big fraction.
3. Take the other two numbers and write them out on top of the fraction with a times between them.
4. Work out the fraction you’ve just written down.
5. If you were looking for a side, you’re done. Hooray.
6. If you’re after an angle, do $\sin^{-1}(Ans)$ and that’ll give you the answer.
### Example: finding an angle
With this one, we don’t really need the bottom (adjacent) side, but let’s find it anyway: $16.8^2 - 9.8^2 = 186.2$, so the bottom side is the square root of that - 13.64 units (to 2dp). The Table of Joy would have 9.8 and 16.8 on the top, and $\sin(x)$ next to $\sin(\frac{\pi}{2})$ on the bottom. You’d work out $9.8 \times \sin(\frac{\pi}{2}) \div 16.8 = 0.583$; since we want an angle, we do inverse sine of that using the answer button to get 0.623 radians (38.69°, if you must).
### Finding a side
This one gives an angle in degrees, tut tut. We can find the other angle by working out 90° - 33° = 57° and then work out the Table of Joy: you’ve got 8.7 and x on top, and $\sin(57^\circ)$ next to $\sin(90^\circ)$ on the bottom. The sum is $8.7 \times \sin(90^\circ) \div \sin(57^\circ) = 10.37$ units (2dp)
So there you go. A simple, easy way to solve any right-angled triangle without having to mess around with tan and cosine.
### Why is this better?
Oh yeah, why is this a better approach than slavishly learning all 11 possible right-angled triangle types? Because this method also works for non-right-angled triangles - although you also need the cosine rule instead of Pythagoras for some of those. It seems daft to me to learn a dozen different ways of doing special cases when you can learn a handful of general cases and be done with it. So there!
(Image by fdecomite used under a Creative Commons by licence)
* Edited 16/12/2013 for formatting. | 2021-06-16T11:04:36 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 2, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7157379984855652, "perplexity": 614.6043098186658}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2021-25/segments/1623487623596.16/warc/CC-MAIN-20210616093937-20210616123937-00368.warc.gz"} |
https://bison.inl.gov/Documentation/source/materials/ComputeStrainIncrementBasedStress.aspx | Compute Strain Increment Based Stress
Compute stress after subtracting inelastic strain increments
Description
This stress calculator finds the value of the stress as a function of the elastic strain increment when a series of inelastic strains are specified in the input file. The stress is calculated as (1) where is the stress and is the elasticity tensor of the material. The elastic strain increment, is found by subtracting the sum of the inelastic strains from the mechanical strain: (2) where is the mechanical strain and is the inelastic strain. In the tensor mechanics module mechanical strain is defined as the sum of the elastic and inelastic (e.g. creep and/or plasticity) strains.
Example Input File
[./stress]
type = ComputeStrainIncrementBasedStress
[../]
(moose/modules/tensor_mechanics/test/tests/plane_stress/weak_plane_stress_incremental.i)
Input Parameters
• store_stress_oldFalseParameter which indicates whether the old stress state, required for the HHT time integration scheme and Rayleigh damping, needs to be stored
Default:False
C++ Type:bool
Description:Parameter which indicates whether the old stress state, required for the HHT time integration scheme and Rayleigh damping, needs to be stored
• computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.
Default:True
C++ Type:bool
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the Material via MaterialPropertyInterface::getMaterial(). Non-computed Materials are not sorted for dependencies.
• base_nameOptional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
C++ Type:std::string
Description:Optional parameter that allows the user to define multiple mechanics material systems on the same block, i.e. for multiple phases
• inelastic_strain_namesNames of inelastic strain properties
C++ Type:std::vector
Description:Names of inelastic strain properties
• boundaryThe list of boundary IDs from the mesh where this boundary condition applies
C++ Type:std::vector
Description:The list of boundary IDs from the mesh where this boundary condition applies
• blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector
Description:The list of block ids (SubdomainID) that this object will be applied
Optional Parameters
• control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Description:Adds user-defined labels for accessing object parameters via control logic.
• enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Description:Set the enabled status of the MooseObject.
• seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Description:The seed for the master random number generator
• implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Description:Determines whether this object is calculated using an implicit or explicit form
• constant_onNONEWhen ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
Default:NONE
C++ Type:MooseEnum
Description:When ELEMENT, MOOSE will only call computeQpProperties() for the 0th quadrature point, and then copy that value to the other qps.When SUBDOMAIN, MOOSE will only call computeSubdomainProperties() for the 0th quadrature point, and then copy that value to the other qps. Evaluations on element qps will be skipped
• output_propertiesList of material properties, from this material, to output (outputs must also be defined to an output type)
C++ Type:std::vector
Description:List of material properties, from this material, to output (outputs must also be defined to an output type)
• outputsnone Vector of output names were you would like to restrict the output of variables(s) associated with this object
Default:none
C++ Type:std::vector
Description:Vector of output names were you would like to restrict the output of variables(s) associated with this object | 2020-11-27T08:36:13 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.3517933189868927, "perplexity": 3932.7986531212605}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-50/segments/1606141191511.46/warc/CC-MAIN-20201127073750-20201127103750-00251.warc.gz"} |
https://gssc.esa.int/navipedia/index.php/Bancroft_Method | If you wish to contribute or participate in the discussions about articles you are invited to join Navipedia as a registered user
# Bancroft Method
Fundamentals
Title Bancroft Method
Author(s) J. Sanz Subirana, J.M. Juan Zornoza and M. Hernández-Pajares, Technical University of Catalonia, Spain.
Year of Publication 2011
The Bancroft method allows obtaining a direct solution of the receiver position and the clock offset, without requesting any "a priori" knowledge for the receiver location.
## Raising and resolution
Let $PR^j$ the prefit-residual of satellite-$j$, computed from equation (1)
$R^j=\rho^j+c(\delta t-\delta t^j)+T^j+\hat{\alpha}\, I^j+TGD^j+\mathcal{M}^j+{\boldsymbol \varepsilon}^j \qquad \mbox{(1)}$
after removing all model terms not needing the a priory knowledge of the receiver position:[footnotes 1]
$PR^j\equiv R^j +c\,\delta t^j-TGD^j \qquad \mbox{(2)}$
Thence, neglecting the tropospheric and ionospheric terms, as well as the multipath and receiver noise, the equation (3)
$\begin{array}{r} R^j-D^j\simeq \sqrt{(x^j-x)^2+(y^j-y)^2+(z^j-z)^2}+c\,\delta t\\[0.3cm] j=1,2,...,n~~~~ (n \geq 4)\\ \end{array} \qquad \mbox{(3)}$
can be written as:
$PR^j = \sqrt{(x^j-x)^2+(y^j-y)^2+(z^j-z)^2}+c \, \delta t \qquad \mbox{(4)}$
Developing the previous equation (4), it follows:
$\left[{x^j}^2+{y^j}^2+{z^j}^2-{PR^j}^2 \right]-2 \left[x^j x+y^j y+z^j z-{PR^jc\,\delta t} \; \right] + \left[x^2+y^2+z^2-(c\,\delta t)^2 \right]=0 \qquad \mbox{(5)}$
Then, calling ${\mathbf r}=[x,y,z]^T$ and considering the inner product of Lorentz [footnotes 2] the previous equation (5) can be expressed in a more compact way as:
$\frac{1}{2} \left \langle \left[ \begin{array}{c} {\mathbf r}^j\\ PR^j\\ \end{array} \right], \left[ \begin{array}{c} {\mathbf r}^j\\ PR^j\\ \end{array} \right] \right \rangle - \left \langle \left[ \begin{array}{c} {\mathbf r}^j\\ PR^j\\ \end{array} \right], \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] \right \rangle + \frac{1}{2} \left \langle \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right], \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] \right \rangle =0 \qquad \mbox{(6)}$
The former equation can be raised for every satellite (or prefit-residual $PR^j$).
If four measurements are available, thence, the following matrix can be written, containing all the available information on satellite coordinates and pseudoranges (every row corresponds to a satellite):
${\mathbf B}= \left( \begin{array}{cccc} x^1&y^1&z^1&PR^1\\ x^2&y^2&z^2&PR^2\\ x^3&y^3&z^3&PR^3\\ x^4&y^4&z^4&PR^4\\ \end{array} \right) \qquad \mbox{(7)}$
Then, calling:
$\Lambda= \frac{1}{2} \left \langle \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right], \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] \right \rangle \; , \; {\mathbf 1}= \left[ \begin{array}{c} 1\\ 1\\ 1\\ 1\\ \end{array} \right] \; , \; {\mathbf a}= \left[ \begin{array}{c} a_1\\ a_2\\ a_3\\ a_4\\ \end{array} \right] \; \mbox{being} \; \; a_j= \frac{1}{2} \left \langle \left[ \begin{array}{c} {\mathbf r}^j\\ PR^j\\ \end{array} \right], \left[ \begin{array}{c} {\mathbf r}^j\\ PR^j\\ \end{array} \right] \right \rangle \qquad \mbox{(8)}$
The four equations for pseudorange can be expressed as:
${\mathbf a} -{\mathbf B}\,{\mathbf M} \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] +\Lambda \; {\mathbf 1}=0\;\;,\;\;\;\; \mbox{being} \;\;\;\;\;\; {\mathbf M}=\left( \begin{array}{cccc} 1&0&0&0\\ 0&1&0&0\\ 0&0&1&0\\ 0&0&0&-1\\ \end{array} \right) \qquad \mbox{(9)}$
from where:
$\left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] ={\mathbf M} {\mathbf B}^{-1} (\Lambda \; {\mathbf 1} + {\mathbf a}) \qquad \mbox{(10)}$
Then, taking into account the following equality
$\langle {\mathbf M}{\mathbf g},{\mathbf M}{\mathbf h} \rangle=\langle {\mathbf g},{\mathbf h} \rangle \qquad \mbox{(11)}$,
and that
$\Lambda= \frac{1}{2} \left \langle \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right], \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] \right \rangle \qquad \mbox{(12)}$,
from the former expression (10), one obtains:
$\left \langle {\mathbf B}^{-1} {\mathbf 1}, {\mathbf B}^{-1} {\mathbf 1} \right \rangle \Lambda^2+ 2\left [ \left \langle {\mathbf B}^{-1} {\mathbf 1}, {\mathbf B}^{-1} {\mathbf a} \right \rangle -1 \right ] \Lambda + \left \langle {\mathbf B}^{-1} {\mathbf a}, {\mathbf B}^{-1} {\mathbf a} \right \rangle =0 \qquad \mbox{(13)}$
The previous expression (13) is a quadratic equation in $\Lambda$ (note that matrix ${\mathbf B}$ and the vector $\mathbf a$ are also known) and provides two solutions, that introduced in expression (10) provides the searched solution:
$\left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] \qquad \mbox{(14)}$.
The other solution is far from the earth surface.
## Generalisation to the case of $n$-measurements:
If more than four observations are available, the matrix ${\mathbf B}$ is not square. However, multiplying by ${\mathbf B}^T$, one obtains (Least Squares solution):
${\mathbf B}^T{\mathbf a} -{\mathbf B}^T {\mathbf B}\,{\mathbf M} \left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] +\Lambda \; {\mathbf B}^T {\mathbf 1}=0 \qquad \mbox{(15)}$
where:
$\left[ \begin{array}{c} {\mathbf r}\\ c\,\delta t\\ \end{array} \right] ={\mathbf M} ({\mathbf B}^T {\mathbf B})^{-1}{\mathbf B}^T(\Lambda \; {\mathbf 1} + {\mathbf a}) \qquad \mbox{(16)}$
and then:
$\begin{array}{r} \left \langle ({\mathbf B}^T {\mathbf B})^{-1} {\mathbf B}^T{\mathbf 1}, ({\mathbf B}^T {\mathbf B})^{-1} {\mathbf B}^T{\mathbf 1} \right \rangle \Lambda^2+ 2\left [ \left \langle ({\mathbf B}^T {\mathbf B})^{-1} {\mathbf B}^T{\mathbf 1}, ({\mathbf B}^T {\mathbf B})^{-1} {\mathbf B}^T{\mathbf a} \right \rangle -1 \right ] \Lambda +\\[0.3cm] + \left \langle ({\mathbf B}^T {\mathbf B})^{-1} {\mathbf B}^T{\mathbf a}, ({\mathbf B}^T {\mathbf B})^{-1} {\mathbf B}^T{\mathbf a} \right \rangle =0 \end{array} \qquad \mbox{(17)}$
## Notes
1. ^ The tropospheric and ionospheric terms, $T^j$ and $\hat{\alpha} \,I^j$, can not be included, because the need to consider the satellite-receiver ray. Off course, after an initial computation of the receiver coordinates, the method could be iterated using the ionospheric and tropospheric corrections to improve the solution.
2. ^ $\left \langle{\mathbf a},{\mathbf b}\right \rangle={\mathbf a}^{t} \; {\mathbf M} \; {\mathbf b}= \left[ \begin{array}{c} a_1,a_2,a_3,a_4 \end{array} \right] \left( \begin{array}{cccc} 1&0&0&0\\ 0&1&0&0\\ 0&0&1&0\\ 0&0&0&-1\\ \end{array} \right) \left[ \begin{array}{c} b_1\\ b_2\\ b_3\\ b_4 \end{array} \right]$ | 2019-02-23T15:58:53 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 1, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.5141576528549194, "perplexity": 2194.428341303163}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2019-09/segments/1550249504746.91/warc/CC-MAIN-20190223142639-20190223164639-00611.warc.gz"} |
https://bison.inl.gov/Documentation/source/kernels/HydrogenDiffusion.aspx | # Hydrogen Diffusion in the Cladding
Calculates the diffusion of hydrogen in solid solution due to Fick's law and the Soret effect
## Description
Hydrogen in solid solution in zirconium will precipitate to form zirconium hydrides as the temperature of the sample is decreased. If the sample is then re-heated, dissolution will begin at a higher temperature than was required for precipitation. This hysteresis effect is due to a volumetric strain caused by mismatch of the density of the hydrides and the surrounding alloy. Thus, there are two terminal solid solubility (TSS) curves, denoted for precipitation and for dissolution. Bison uses the Arrhenius fits from McMinn et al. (2000) for and (1) Hydrogen in solid solution in zirconium diffuses under the influence of mass and temperature gradients by Fick's Law and the Soret effect, respectively. The mass flux is (2) where is the concentration of hydrogen in solid solution, is the mass diffusivity, and is the heat of transport for hydrogen in zirconium.
Bison uses and from Kammenzind et al. (1996): (3) Note that since the stoichiometry of the hydride phase is fixed, there is little or no driving force for diffusion of hydrogen in the hydrides. In addition, the diffusivity of hydrogen in hydrides has been measured to be at least 3 times smaller than the diffusivity of hydrogen in zirconium. Thus, we do not account for diffusion of hydrogen in the hydride phase in Bison.
## Example Input Syntax
[./hdiffusion] # diffusion of hydrogen by OC
type = HydrogenDiffusion
variable = Css
temp = temp
[../]
(test/tests/hydrogen/hydrogen.i)
## Input Parameters
• variableThe name of the variable that this Kernel operates on
C++ Type:NonlinearVariableName
Description:The name of the variable that this Kernel operates on
• tempCoupled Temperature
C++ Type:std::vector
Description:Coupled Temperature
### Required Parameters
• soret_scale1Soret effect scaling factor, 1 is default.
Default:1
C++ Type:double
Description:Soret effect scaling factor, 1 is default.
• soret1Soret effect switch, 1 is on (default).
Default:1
C++ Type:int
Description:Soret effect switch, 1 is on (default).
• blockThe list of block ids (SubdomainID) that this object will be applied
C++ Type:std::vector
Description:The list of block ids (SubdomainID) that this object will be applied
### Optional Parameters
• enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Description:Set the enabled status of the MooseObject.
• save_inThe name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Description:The name of auxiliary variables to save this Kernel's residual contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
• use_displaced_meshFalseWhether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
Default:False
C++ Type:bool
Description:Whether or not this object should use the displaced mesh for computation. Note that in the case this is true but no displacements are provided in the Mesh block the undisplaced mesh will still be used.
• control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector
Description:Adds user-defined labels for accessing object parameters via control logic.
• seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Description:The seed for the master random number generator
• diag_save_inThe name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
C++ Type:std::vector
Description:The name of auxiliary variables to save this Kernel's diagonal Jacobian contributions to. Everything about that variable must match everything about this variable (the type, what blocks it's on, etc.)
• implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Description:Determines whether this object is calculated using an implicit or explicit form
• vector_tagsnontimeThe tag for the vectors this Kernel should fill
Default:nontime
C++ Type:MultiMooseEnum
Description:The tag for the vectors this Kernel should fill
• extra_vector_tagsThe extra tags for the vectors this Kernel should fill
C++ Type:std::vector
Description:The extra tags for the vectors this Kernel should fill
• matrix_tagssystemThe tag for the matrices this Kernel should fill
Default:system
C++ Type:MultiMooseEnum
Description:The tag for the matrices this Kernel should fill
• extra_matrix_tagsThe extra tags for the matrices this Kernel should fill
C++ Type:std::vector
Description:The extra tags for the matrices this Kernel should fill | 2020-11-26T22:20:41 | {"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 1, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.2302519828081131, "perplexity": 4396.279810697193}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2020-50/segments/1606141188947.19/warc/CC-MAIN-20201126200910-20201126230910-00336.warc.gz"} |
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