Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com
A little more work on axis sizing and controls.
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
4: The palindromes in base 10 (A002113) ➡️ https://decompwlj.com/3DgraphGen/Palindromes.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
3: The triangular numbers (A000217) ➡️ https://decompwlj.com/3DgraphGen/Triangular_numbers.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
2: The prime numbers (A000040) ➡️ https://decompwlj.com/3DgraphGen/Prime_numbers.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
🧵⬇️
1: The natural numbers (A000027) ➡️ https://decompwlj.com/3DgraphGen/Natural_numbers.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research
Check out all the cool features on Vasnic!
i know you will like them!
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#art #music #videogames #tech #programming #php

Decomposition into weight × level + jump of prime numbers:
- a new classification of primes ➡️ https://decompwlj.com/primedecomp.php
- in 3D - threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A095953: Initial values for f(x) = phi(sigma(x)) such that iteration of f ends in a cycle of length 3
3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A095953.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A095953.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A095953.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A095301: Numbers n such that there is some k < n with n*sigma(k) = k*sigma(n)
3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A095301.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A095301.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A095301.html
#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #php #graph #3D #threejs #webGL #triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Bypassing #PHP visibility controls. Please don't do this often.
https://www.garfieldtech.com/blog/phptricks-access-control-bypass
Proof That PHP Dominates Type Safe Collections Raw
⚡ Proof That PHP Dominates Type Safe Collections Raw - Code quality comparison! Junior developers make common mistakes, senior devs write clean code. Learn from this! Your code quality will improve! #PHP #WebDev #CodingTips #coding
#php #programming #coding #webdevelopment #softwareengineering #juniorvssenior #codereview #programmingtips #phptutorial #codingtutorial #bestpractices #phpprogramming...
https://www.youtube.com/watch?v=c_3zIoWRIrg
tracing jit compiles a single linear path through our loop, even across calls. every exit and deviation of control flow is handled as a jump to a exit stub.
code quality could be improved. for example a pair of instructions lea xx(%rip), %rax; mov $1, (%rax) could be merged into single rip relative move. but the main overhead is the dance around initializing and destroying stack frames. most of the code is just this. actual loop while($i--) is compiled into a quite efficient binary. php was able to infer that the variable $i can be only integer and never touches its type. nice. but the rest is miserable.
(btw, php jit is the work of a single guy, which is more than impressive.)