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gereshes.com | ||
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austinmorlan.com
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| | | | | It took me longer than necessary to understand how a rotation transform matrix rotates a vector through three-dimensional space. Not because its a difficult concept but because it is often poorly explained in textbooks. Even the most explanatory book might derive the matrix for a rotation around one axis (e.g., x) but then present the other two matrices without showing their derivation. Ill explain my own understanding of their derivation in hopes that it will enlighten others that didnt catch on right a... | |
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codethrasher.com
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| | | | | A linear mapping from a vector space to a field of scalars. In other words, a linear function which acts upon a vector resulting in a real number (scalar) \begin{equation} \alpha\,:\,\mathbf{V} \longrightarrow \mathbb{R} \end{equation} Simplistically, covectors can be thought of as "row vectors", or: \begin{equation} \begin{bmatrix} 1 & 2 \end{bmatrix} \end{equation} This might look like a standard vector, which would be true in an orthonormal basis, but it is not true generally. | |
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www.reedbeta.com
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| | | | | Pixels and polygons and shaders, oh my! | |
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wargamingworkshop.com
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| | | Many years ago, I received a small bag of Tau figures from a neighbour's kid who had briefly dabbled in the hobby. The figures were in rough shape - glue blobs and thick enamel paint - so I put them in a box for a long slumber. Nearly two decades later, I found them during... | ||