#maths — Public Fediverse posts

Problem for August 10th from the 2026 AMS Daily Epsilon of Math Calendar
@DailyEpsilon
#math #maths #mathematics #mathstodon

This animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages ➡️ https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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 #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 #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 #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 #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

1/9
#MathsMonday
#Mathematics #Maths #Math
I want to come back to Lennes' letter, which I've covered previously at https://dotnet.social/@SmartmanApps/110965810374299599 but that time it was because I had seen it referred to as being evidence for a "new rule" (it wasn't), whereas this time Oliver Knill https://dotnet.social/@SmartmanApps/116990848347700650, who I'll come back to next week, is claiming it's evidence of "ambiguity" - not only is it not evidence of that, it's evidence of the complete opposite! So this time round...

A061641: Pure numbers in the Collatz (3x+1) iteration. Also called pure hailstone numbers
A061641 ➡️ https://oeis.org/A061641

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061641.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061641.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061641.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

My first, favorite and most important sequence, the weights of prime numbers: A117078
We see prime numbers classified by level and by weight on the graph.

A117078: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists ➡️ https://oeis.org/A117078

#decompwlj #math #mathematics #maths #sequence #OEIS #graph #3D #numbers #primes #PrimeNumbers #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A061426: Geometric mean of the digits = 2. In other words, the product of the digits is = 2^k where k is the number of digits
A061426 ➡️ https://oeis.org/A061426

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061426.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061426.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061426.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

"La mathématique [...] fait partie de toute investigation, tant morale que physique. Même les règles de la logique, auxquelles elle est fermement liée, ne pourraient être déduites sans son aide." – Benjamin Peirce (1809–1880)
#citation #mathématiques #maths #math

"Mathematics [...] belongs to every inquiry, moral as well as physical. Even the rules of logic, by which it is rigidly bound, could not be deduced without its aid." – Benjamin Peirce (1809–1880)
#quote #mathematics #math #maths

After checking out my university's library: Does anybody have some recommendations on books/resources about elliptic curve cryptography and other lattice-based cryptography fields. I would like to better understand the maths behind it but am happy to have real life examples/guides/best practices included?

Language can be english, german, or italian.
I do study comp sci so my mathematical training is OKish at best, but I want to learn. :BoostOK:

#cryptography #ellipticcurve #maths

Theorem of the Day (August 9, 2026) : The Borsuk–Ulam Theorem
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/Topology/BorsukUlam/TotDBorsukUlam.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#122

#mathematics #maths #math #theorem @Theoremoftheday

A061384: Numbers n such that sum of digits = number of digits
A061384 ➡️ https://oeis.org/A061384

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061384.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061384.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061384.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

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 #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

Problem for August 9th from the 2026 AMS Daily Epsilon of Math Calendar
@DailyEpsilon
#math #maths #mathematics #mathstodon

A061346: Odd numbers that are neither primes nor prime powers
A061346 ➡️ https://oeis.org/A061346

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061346.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061346.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061346.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

A061276: Numbers that are sums of repdigits of their digits
A061276 ➡️ https://oeis.org/A061276

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A061276.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A061276.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A061276.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

150 sequences decomposed into weight × level + jump in one GIF (log(weight),log(level)):
1000 sequences decomposed on https://decompwlj.com

#decompwlj #math #mathematics #maths #sequence #OEIS #graph triangular #numbers #primes #PrimeNumbers #palindromes #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research

A060947: Intrinsic 10-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base
A060947 ➡️ https://oeis.org/A060947

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A060947.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A060947.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A060947.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

"I enjoy being surprised by mathematics and its intrinsic difficulty. The moment I enjoy best is when the pieces of the puzzle fall into one coherent whole. Understanding or solving a problem is a real source of joy." – Katrin Wendland (1970–)
#quote #mathematics #math #maths

"J'aime être surprise par les mathématiques et leur difficulté intrinsèque. Le moment que j'apprécie le plus est quand les pièces du puzzle s'assemblent en un tout cohérent. Comprendre ou résoudre un problème est une véritable source de joie." – Katrin Wendland (1970–)
#citation #mathématiques #maths #math

Theorem of the Day (August 8, 2026) : Netto’s Conjecture (Dixon’s Theorem)
Source : Theorem of the Day / Robin Whitty
pdf : https://www.theoremoftheday.org/GroupTheory/Netto/TotDNetto.pdf
notes : https://www.theoremoftheday.org/Resources/TheoremNotes.htm#49

#mathematics #maths #math #theorem @Theoremoftheday

Problem for August 8th from the 2026 AMS Daily Epsilon of Math Calendar
@DailyEpsilon
#math #maths #mathematics #mathstodon

A060879: Intrinsic 9-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base
A060879 ➡️ https://oeis.org/A060879

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A060879.html
3D graph Gen, threejs animation ➡️ https://decompwlj.com/3DgraphGen/A060879.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A060879.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #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

Decomposition into weight × level + jump of prime numbers in 3D, threejs - webGL (log(weight), log(level), log(jump))
➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

#decompwlj #math #mathematics #maths #sequence #OEIS #JavaScript #graph #3D #threejs #webGL #numbers #primes #PrimeNumbers #animation #FundamentalTheoremOfArithmetic #sequences #NumberTheory #classification #integer #decomposition #number #theory #equation #graphs #sieve #fundamental #theorem #arithmetic #research