Rotations — Topic Summaries
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e to the pi i, a nontraditional take (old version)
The equation e^(πi) = −1 stops looking like black magic once exponentials are redefined as a bridge between two kinds of actions on numbers: sliding...
Three-dimensional linear transformations | Chapter 5, Essence of linear algebra
Linear transformations in three dimensions are fully determined by where they send the three standard basis vectors—so a 3D “grid-squishing” process...
Distributions 9 | Coordinate Transformation [dark version]
Invertible coordinate changes act on distributions by composing test functions with the inverse map and correcting by the Jacobian determinant. That...