math

Overview ¶

https://en.wikipedia.org/wiki/Sieve_of_Atkin

https://en.wikipedia.org/wiki/Bernoulli_number

https://en.wikipedia.org/wiki/Pairing_function#Cantor_pairing_function https://en.wikipedia.org/wiki/Fueter%E2%80%93P%C3%B3lya_theorem

ported from https://algs4.cs.princeton.edu/code/edu/princeton/cs/algs4/Polynomial.java.html https://en.wikipedia.org/wiki/Chebyshev_polynomials

https://www4.uwsp.edu/math/nwodarz/Math209Files/209-0809F-L10-Section06_03-AlgorithmsForGeneratingPermutationsAndCombinations-Notes.pdf

https://en.wikipedia.org/wiki/Complex_number

https://en.wikipedia.org/wiki/Cubic_equation

https://en.wikipedia.org/wiki/Damping_ratio

playing around with elementary row operations

https://en.wikipedia.org/wiki/Exponential-Golomb_coding

http://reedbeta.com/blog/flows-along-conic-sections/

ported from http://dev.theomader.com/gaussian-kernel-calculator/ gaussian blur filter matrices found online do a rounding step they do this by dividing the smallest coefficient to make them all multiples of the smallest coefficient, round to nearest integer, then normalize that

https://en.wikipedia.org/wiki/Colors_of_noise#Blue_noise https://www.jasondavies.com/poisson-disc/ https://bl.ocks.org/mbostock/dbb02448b0f93e4c82c3 https://observablehq.com/@techsparx/an-improvement-on-bridsons-algorithm-for-poisson-disc-samp/2 https://github.com/martynafford/poisson-disc-distribution-bridson

https://en.wikipedia.org/wiki/Golden-section_search finds extremum in function in interval, for strictly unimodal with extremum, it will find it, if multiple extremum, it will find one of them

https://en.wikipedia.org/wiki/Gray_code

https://en.wikipedia.org/wiki/Heap%27s_algorithm generate permuations of n objects, this minimizes movements

https://en.wikipedia.org/wiki/LU_decomposition https://en.wikipedia.org/wiki/Crout_matrix_decomposition

http://paulbourke.net/miscellaneous/solver/ https://en.wikipedia.org/wiki/List_of_Runge%E2%80%93Kutta_methods

https://en.wikipedia.org/wiki/Pascal%27s_triangle

https://en.wikipedia.org/wiki/Perceptron

some permutation properties

measure the angle between the point and the 3 basis we treat it as vector when we measure the angle though but position in space matters here

https://en.wikipedia.org/wiki/Polyphase_sequence

http://realtimecollisiondetection.net/blog/?p=69

ratios of shapes as they increase in size

https://www.cut-the-knot.org/Curriculum/Combinatorics/JohnsonTrotter.shtml https://en.wikipedia.org/wiki/Steinhaus%E2%80%93Johnson%E2%80%93Trotter_algorithm generate a permutation of given a initial configuration

https://mathinsight.org/spherical_coordinates

http://www.claysturner.com/dsp/digital_resonators.pdf