### Can an involution be a competitive bit finalizer?

A feasibility study to determine if an involution can be competitive (quality and cost) bit mixer.

### Comments on the Avalanche Effect

A quick overview of what "Avalanche Effect" properties are, why they can be used to test and search for PRNGs and overview of how to convert the property into a comparision measurement.

### Some comments on approximately equal FP comparisons

In which I point to some other peoples blog posts and make some minor comments.

### Measuring ULP distance

Some code for measuring the ULP distance between floats with comments.

### Floating point division with known divisor

A small note on division removal

### posit: thin triangle other tricks (REVEALED!)

First post in breaking down why the posits presentations are egregiously disingenuous.

### Uniform points in sphere and capped cone

micro post on title

### An empirical testing point set on sphere and caps

Code for incrementally generating a spherical Fibonacci point set on a spherical cap

### Solving for quaternion rotation from a vector viewpoint

A short description of solving a quaternion rotation using vectors

### Volume element of SO(3) and average uniform random rotation angle

Find the expression of a volume element of rotations.

### Basic XOR-rotates and their inverse

Simplified description of bijections formed only from XORs and bit rotations.

### Table of basic reversible integer operations

A table and some comments on integer bijections.

### PRNS with 32 bits of state

A multistream low complexity random access PRNG/permutation generator.

### Integer multiplicative inverse via Newton's method

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

### Linear Congruential Sequences

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

### 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.

### Hopf coordinate conversion and torque minimal factorization

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

### Quaternion quantization: part 1

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

### On certain results of quaternionic interpolation

basic interpolation

### Converting to Euler & Tait-Bryan

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