### Basic XOR-rotates and their inverse

Simplified description of bijections formed only from XORs and shifts.

20171013 integer

### Table of basic reversible integer operations

A table and some comments on integer bijections.

20171013 integer

### PRNS with 32 bits of state

A multistream low complexity random access PRNG/permutation generator.

20170927 random sequence permutation Weyl

### Integer multiplicative inverse via Newton's method

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

20170918 integer

### Linear Congruential Sequences

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

20170912 random sequence permutation

### On quaternion/rotation matrix conversions and errors

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

20170808 rotations conversion

### Hopf coordinate conversion and torque minimal factorization

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

20170512 hopf rotations

### Quaternion quantization: part 1

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

20170502 quantization rotations frames graphics

### On certain results of quaternionic interpolation

basic interpolation

20170419 interpolation

### Converting to Euler & Tait-Bryan

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

20170418 euler rotations