awoo
Browse filesSigned-off-by: Balazs Horvath <[email protected]>
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LINEAR_ALGEBRA.md
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# Linear Algebra for Furries
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## Linear Algebra Basics
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Linear Algebra is a branch of mathematics that deals with vectors, vector spaces and linear transformations. It has wide applications in fields like physics, computer graphics, data analysis and generating yiff.
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### Vectors
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Vectors are mathematical objects that have both magnitude (size) and direction. They can represent physical quantities like force, velocity or displacement. For example, if you're a furry running in a park, your velocity is a vector - it has a speed (magnitude) and a direction you're running in.
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Vectors are often represented as an array of numbers, where each number corresponds to a coordinate in space. In a 2D plane, a vector $v$ can be represented as an ordered pair: $v = [v_1, v_2]$. Here $v_1$ and $v_2$ are the components of $v$ along the x and y axes respectively.
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For example, the vector $v = [2, 3]$ can be visualized as an arrow starting at the origin $(0, 0)$ and pointing 2 units in the positive x-direction and 3 units in the positive y-direction.
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# Linear Algebra for Furries
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<!--markdownlint-disable MD033 -->
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## Linear Algebra Basics
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Linear Algebra is a branch of mathematics that deals with vectors, vector spaces and linear transformations. It has wide applications in fields like physics, computer graphics, data analysis and generating yiff.
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### Vectors
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Vectors are mathematical objects that have both magnitude (size) and direction. They can represent physical quantities like force, velocity or displacement. For example, if you're a furry running in a park, your velocity is a vector - it has a speed (magnitude) and a direction you're running in.
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<img src="https://huggingface.co/k4d3/yiff_toolkit/resolve/main/static/linear_algebra/furry-running.jpg" alt="A furry running in a park." width="512" height="512"/>
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*This furry has a velocity.*
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Vectors are often represented as an array of numbers, where each number corresponds to a coordinate in space. In a 2D plane, a vector $v$ can be represented as an ordered pair: $v = [v_1, v_2]$. Here $v_1$ and $v_2$ are the components of $v$ along the x and y axes respectively.
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For example, the vector $v = [2, 3]$ can be visualized as an arrow starting at the origin $(0, 0)$ and pointing 2 units in the positive x-direction and 3 units in the positive y-direction.
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