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thenumb.at
| | liorsinai.github.io

A detailed foundation of quaternion mathematics.
1.8 parsecs

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| | liorsinai.github.io

Introduction to quaternions and rotations in 3D.
1.2 parsecs

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| | austinmorlan.com

It took me longer than necessary to understand how a rotation transform matrix rotates a vector through three-dimensional space. Not because it's 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. I'll explain my own understanding of their derivation in hopes that it will enlighten others that didn't catch on right away.
2.4 parsecs

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| | stevensoojin.kim

A survey of Poincaré inequalities appearing outside of PDE.
21.6 parsecs

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