A short note on computing the modular multiplicative inverse of an odd integer.

20170918 integer

A small list of properties of full-period sequences for reference.

20170912 random sequence permutation

Skims the math of quaternions to rotations matrices and back with empirical errors including small angle special case.

20170808 rotations conversion

Gives a mile-high overview of the Hopf map from geometry perspective.

20170512 hopf rotations

An overview of full-range context-free quantization of quaternions into fixed bit package.

20170502 quantization rotations frames graphics

A note on reducing errors when converting to Euler angles or Tait-Bryan paramerters.

20170418 euler rotations

a brief note on generating random rotations in 3D

20170127 random rotations

show some maps and plots of volume distortion

20170127 quantization distribution sampling map