#Graph

10 hours ago

One day, one decomposition
A051677: Tetrahedron-tree numbers: a(n)=sum(b(m),m=1..n), b(m)=1, 1,3, 1,3,6, 1,3,6,10,..., 1,2,...,i*(i+1)2

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Tetrahedron-tree_numbers.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/Tetrahedron-tree_numbers.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #tetrahedron #tree #graph #threejs #webGL

Decomposition into weight × level + jump of tetrahedron-tree numbers in 2D (log(weight), log(level))

Decomposition into weight × level + jump of tetrahedron-tree numbers in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

1 day ago

Decomposition into weight × level + jump of prime numbers:

in 3D, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

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

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

1 day ago

#decompwlj
The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️ ⬇️
https://decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: https://arxiv.org/abs/0711.0865

꧁~HalfBakd𝕮𝖊𝖆~꧂ :blobcatdj:

1 day ago

One day, one decomposition
A051635: Weak primes: prime(n) < (prime(n-1) + prime(n+1))/2

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

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #weak #primes #primenumbers #graph #threejs #webGL

Decomposition into weight × level + jump of weak primes in 2D (log(weight), log(level))

Decomposition into weight × level + jump of weak primes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

2 days ago

Another handy #graph for @enigmatico to pick apart :Alcea_LolFace:

#Piracy #yarhar #money #disposibleincome #NonsenseAlcea

Yarryar graph
https://ibb.co/BgYX2px
https://i.ibb.co/tb17pGt/Titelloses-117-20231209070224.png

2 days ago

One day, one decomposition
A051634: Strong primes: prime(k) > (prime(k-1) + prime(k+1))/2

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

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #strong #primenumbers #graph #threejs #webGL

Decomposition into weight × level + jump of strong primes in 2D (log(weight), log(level))

Decomposition into weight × level + jump of strong primes in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

3 days ago

One day, one decomposition
A051507: Primes p such that p*q+2 is prime, where q is next prime after p

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051507.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051507.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #graph #threejs #webGL

Decomposition into weight × level + jump of A051507 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A051507 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

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

4 days ago

t's dead! The academic world is more than 10 years behind, they'll never catch up. Math is no longer open source, it's in the hands of intelligence agencies and corporations.

Definitions of the decomposition into weight × level + jump

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

4 days ago

C'est mort ! Le monde académique a plus de 10 ans de retard, ils ne pourront jamais les rattraper. Les maths ne sont plus "open source", elles sont dans les mains des agences de renseignement et des corporations.

4 days ago

One day, one decomposition
A051283: Numbers k such that if one writes k = Product p_i^e_i (p_i primes) and P = max p_i^e_i, then k/P > P

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051283.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051283.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #product #primes #primenumbers #graph #threejs #webGL

Decomposition into weight × level + jump of A051283 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A051283 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

5 days ago

One day, one decomposition
A051146: Sequence b(n) mentioned in A051145

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051146.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051146.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #graph #threejs #webGL

Decomposition into weight × level + jump of A051146 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A051146 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Snowshadow

#ethnomathematics #math #eulerian #graph #drawing #art #science #history #communication #research

Ancient Art Form Topples Assumptions about Mathematics

The sand drawings of Vanuatu follow principles from a branch of mathematics known as graph theory

By Alban Da Silva
A Vanuatuan sand drawing artist traces a circular grid on a sandy floor

https://www.scientificamerican.com/article/an-ancient-art-form-topples-assumptions-about-mathematics/

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

Decomposition into weight × level + jump of prime numbers:

in 3D, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

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

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

#decompwlj
The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️ ⬇️
https://decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: https://arxiv.org/abs/0711.0865

One day, one decomposition
A051004: Numbers divisible both by their individual digits and by the sum of their digits

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A051004.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A051004.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #divisible #sum #digits #graph #threejs #webGL

Decomposition into weight × level + jump of A051004 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A051004 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

One day, one decomposition
A050936: Sum of two or more consecutive prime numbers

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050936.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050936.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #consecutive #primenumbers #primes #graph #threejs #webGL

Decomposition into weight × level + jump of A050936 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050936 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

One day, one decomposition
A050931: Numbers having a prime factor congruent to 1 mod 6

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050931.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050931.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #prime #factor #congruent #graph #threejs #webGL

Decomposition into weight × level + jump of A050931 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050931 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Coocook.org

Why we've changed our database schema 26 times until now:
- make Coocook easier to use by simplifying required input
- add new features like organizations (groups of users)
- add missing metadata like creation timestamps

Longer gaps are difficult changes that took long to prepare:
1. add database versioning in the first place
2. drop infamous table "quantities" that connected units that can be converted, like "masses" with lb and kg, etc.🙈
#perl #sql #SchemaVersioning #graph #dbixclass #dbi

Graph over time from 2015 to 2023 with "initial DB" in 2015 and versions 1 to 27 following. Longer gaps before Version 1 and between versions 24/25

Open Art Data

https://inria.hal.science/hal-04254979v1/document

Extremely interesting paper.

Relevant Entity Selection: Knowledge Graph Bootstrapping via Zero-Shot Analogical Pruning

authors: Lucas Jarnac, Miguel Couceiro, Pierre Monnin

#KG #KnowledgeGraphs #construction, #analogical #inference, #zero-shot #learning, #graph #embedding #digitaltools #Wikidata #Sparql #methods #networks
#DigitalHumanities

Relevant Entity Selection: Knowledge Graph Bootstrapping via Zero-Shot Analogical Pruning Lucas Jarnac, Miguel Couceiro, Pierre Monnin
To cite this version:
Lucas Jarnac, Miguel Couceiro, Pierre Monnin. Relevant Entity Selection: Knowledge Graph Boot- strapping via Zero-Shot Analogical Pruning. CIKM ’23: The 32nd ACM International Conference on Information and Knowledge Management, Oct 2023, Birmingham (UK), United Kingdom. pp.934-944,
10.1145/3583780.3615030 . hal-04254979

One day, one decomposition
A050813: Numbers n not palindromic in any base b, 2 <= b <= 10

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050813.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050813.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #palindromic #base #graph #threejs #webGL

Decomposition into weight × level + jump of A050813 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050813 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

Decomposition into weight × level + jump of prime numbers:

in 3D, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

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

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

#decompwlj
The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️ ⬇️
https://decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: https://arxiv.org/abs/0711.0865

One day, one decomposition
A050805: Inserting any digit between adjacent digits of prime p never yields another prime

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050805.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050805.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #digit #prime #primenumbers #graph #threejs #webGL

Decomposition into weight × level + jump of A050805 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050805 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

One day, one decomposition
A050795: Numbers n such that n^2 - 1 is expressible as the sum of two nonzero squares in at least one way

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050795.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050795.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #squares #graph #threejs #webGL

Decomposition into weight × level + jump of A050795 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050795 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Mark Nichols :neovim:

Love the days when my site is scraped by (a) weird Russian search engines or (2) some LLM intake process.

#Graph #Motomo

Graph showing site visits for the month of November 2023, with a large spike for two days. Except for the spike, the graphed visits are consistently level and quite small.

One day, one decomposition
A050695: Composite numbers k such that none of the prime factors of k is a substring of k

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050695.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050695.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #composite #numbers #prime #factors #substring #graph #threejs #webGL

Decomposition into weight × level + jump of A050695 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050695 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

One day, one decomposition
A050435: a(n) = composite(composite(n)), where composite = A002808, composite numbers

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050435.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050435.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #composite #numbers #graph #threejs #webGL

Decomposition into weight × level + jump of A050435 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050435 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

C.

@gflewell @diazona

In a #nutshell, what you're #locking is your #dependency #graph. i.e. your project says you need the `requests` package v.1.2.3 or later, plus the `pandas` package version 2 (not 3, you haven't upgraded your code yet).

Those each drag in a bunch of other dependencies, each with their own #version #requirements. One of them might say "I need pandas > 2.3.4". Multiple ones might all need `requests` as well, but specify different version constraints.

1/x

TheTomas

https://blog.jakobs.systems/micro/20231127-owncloud-konkretisierung/

Es gab mehrere #Feedbacks zu meinem Microblog zu #Owncloud und der #Microsoft #Graph Nutzung:

One day, one decomposition
A050384: Nonprimes such that n and phi(n) are relatively prime

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050384.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050384.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #nonprimes #phi #relatively #prime #graph #threejs #webGL

Decomposition into weight × level + jump of A050384 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050384 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

One day, one decomposition
A050376: "Fermi-Dirac primes": numbers of the form p^(2^k) where p is prime and k >= 0

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A050376.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A050376.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #form #primes #primenumbers #graph #threejs #webGL

Decomposition into weight × level + jump of A050376 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A050376 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

d'aïeux et d'ailleurs

https://www.daieux-et-dailleurs.fr/blog-genealogique/challenge-de-a-a-z/edition-2023/challenge-a-z-dataviz-unions-distance

#ChallengeAZ - U comme Unions environnantes ou lointaines

(un peu en retard, mais ça en valait la peine je pense 😋 )

#généalogie #genealogy #dataviz #radar #graph #statistique #mariage #distance

(et merci 🙏 pour toutes les réponses pour le calcul de distance @joelgombin @vasaura @symac @jeremy @levoilaux1)

Visualisation en camembert de la distance entre lieu de naissance et lieu de mariage dans ma généalogie : total, 5e génération et 9e génération

Visualisation en radar de la distance entre lieu de naissance et lieu de mariage dans ma généalogie : total, homme et femme

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

My first, favorite and most important sequence, the weights of prime numbers
➡️ http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

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

#decompwlj
The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️ ⬇️
https://decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: https://arxiv.org/abs/0711.0865

#decompwlj ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

Decomposition into weight × level + jump of prime numbers:

in 3D, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/Prime_numbers.html

a new classification of primes ➡️ https://decompwlj.com/primedecomp.php

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

Bram

🇲🇹🇮🇪 What would the graph police think of this map?

#graph #police #GrafiekPolitie #antarctica @ionica@mathstodon.xyz

A railway map of Antarctica, showing no visible railway lines or stations.

One day, one decomposition
A049532: Numbers k such that k^2 + 1 is not squarefree

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A049532.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A049532.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #squarefree #graph #threejs #webGL

Decomposition into weight × level + jump of A049532 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A049532 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

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

3 weeks ago

#decompwlj
The decomposition into weight × level + jump of natural numbers is the fundamental theorem of arithmetic ; applied to prime numbers, it leads to a new classification of primes

1000 sequences decomposed with 3D graphs (threejs webGL), 2D graphs - CSV, dump, img to download
⬇️ ⬇️
https://decompwlj.com

➡️ OEISWiki page: Decomposition into weight × level + jump : https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump
➡️ arXiv:0711.0865 [math.NT]: Decomposition into weight * level + jump and application to a new classification of primes: https://arxiv.org/abs/0711.0865

igraph

3 weeks ago

The development of igraph has taken great steps forward over the past few years. It now scales to billions of edges, supports Mathematica and interactive plotting, integrates with notebooks and other libraries, and includes many new algorithms. We just put out a pre-print where we provide an overview of these advances.

#networks #graph #rstats #Python #C

https://arxiv.org/abs/2311.10260

Various figures describing the overall structure of igraph, and includes some brief example code and visualisation of graphs.

Merill #microsoft #azuread :verified: :donor:

3 weeks ago

One day, one decomposition
A049097: Primes p such that p+1 is squarefree

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A049097.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A049097.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #primenumbers #squarefree #graph #threejs #webGL

Decomposition into weight × level + jump of A049097 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A049097 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

Sascha Stumpler

4 weeks ago

#Graph #PowershellSystems Reading Conditional Access using PowerShell Graph SDK https://bit.ly/40Hh41N via PlanetPowerShell

totetmatt

4 weeks ago

So the Bluesky #Gephi plugin is released ! You can fetch it directly from the plugin manager inside the software. It allows you to explore the followers / followings relationships of the network. Here is a Fast Tutorial https://www.youtube.com/watch?v=EUq5w7-D_ps #graph #sna #atproto

4 weeks ago

Nice short script to list all MX records for domains in your M365 tenant.

If you have any scripts that others might find useful, add them to the collection at aka.ms/GraphSamples

#SharingIsCaring #graph #powershell

$$mxRecords = (Get-MgDomain -All).Id | ForEach-Object { Get-MgDomainServiceConfigurationRecord -DomainId $_ | Where-Object { $_.RecordType -eq "Mx" } } $mxRecords | select Label, RecordType, Ttl, SupportedService$

Metin Seven 🎨

#graph #infographic #creativity #work #flow #skill #challenge #image

A drawn graph, showing the relationship between challenge level and skill level, with flow as the highest state, and apathy as the lowest state.

Ian Tindale

I think there should be a universal chart or graphic that works for absolutely everything – a combination or unification of Venn diagram, weather chart, electrical circuit diagram, TfL tube map, Likert scale, scatter plot, mercury thermometer, wind sock, plimsoll line, keep adding all the representations, just pile them in, add all of them, and boil them down and distill off the universal representation #Chart #graph #diagram #representation #universal

Dave Mackey

currently reading Jesus Barrasa and Jim Webber's Building Knowledge Graphs: A Practitioner's Guide. Curious to hear thoughts on the appropriate place of #graph #databases such as #neo4j in the #enterprise, benefits / trade-offs with traditional #relational #db systems.

Do you have experience with #knowledge graphs? If so, care sharing a few thoughts?

#question

Agenda du Libre

Paris: SemWeb.Pro édition 2023, Le mardi 14 novembre 2023 de 09h30 à 18h00. https://www.agendadulibre.org/events/27160 #web #rencontre #conférence #semwebPro #data #webSemantique #graph #ontologies

Mike Stemle

Did y'all see this? It's a marvelous #graph implementation for #Rust. Here's a good sample on how to use this for implementing #dictionaries: https://timothy.hobbs.cz/rust-play/petgraph_review.html#Dictionaries

Super cool.

LabPlot

https://www.youtube.com/watch?v=Ngf1g3S5C0A&list=PL_dfQNSnql9Ol0zRBnPU8kcTGUwqq4JkJ

We've reached 600 subscribers on our YouTube channel. Thank you! ❤️🤩

Let's get it to at least 700 subscribers 🚀🙂

@kde

#FOSS #FLOSS #OpenSource #FreeSoftware #LibreSoftware #GNU #KDE #Software #Graph #Plotting #Education #Tutorial #Statistics #STEM #LabPlot

Mark Darbyshire

#statistics #Ōtautahi #Christchurch

This #graph is what happens when you appoint a data geek as a #JusticeOfThePeace…

So far I've done three weeks of service as a #JP and seen an average of two clients per day. Wednesday tends to be my busiest day (with several clients in the evening) and Saturday is my quietest (with no clients whatsoever).

Can you tell I'm not a morning person?

Stacked bar graph showing appointments per day of the week broken down into morning, afternoon (before 4pm), late afternoon (before 6pm), and evening. Wednesdays and Thursdays have at least three appointments on average. Mondays and Fridays have at least two. Tuesdays have at least one. Sunday has less than one on average. Saturday has none whatsoever. Afternoon appointments are popular throughout the week. Morning appointments only occur on Thursdays and Fridays. Evening appointments only occur on Mondays, Tuesdays, and especially Wednesdays.

bearsong

𝜋

i came across this visualisation out in the internet wilds
(without attribution, please let me know if there's any attribution i could share)

i thought it cool, and to onwardly share here

#math #𝜋 #plot #graph

visualisation of 𝜋 (pi) being irrational

an animated plot in number space

Klickaffen Studio

By the way, the #playdate SDK implementation of #graph and #nodes and #pathfinder works properly 🤘🏼

Alexandre Dulaunoy

#networkx #python #opensource #networkanalysis #graphtheory #graph

A new release 3.2 of the incredible library NetworkX (the Network Analysis tool in Python)

Many improvements including Kemeny's constant on undirected and directed graphs.

🔗 Release notes - https://networkx.org/documentation/stable/release/release_3.2.html

Kristoffer Strube

I am working on my Blazor graph editor this weekend, improving the stability and performance of the auto-layout mechanism and adding the ability to get a callback when nodes are selected. 🔴➖⚫
#blazor #dotnet #graph
Project: https://github.com/KristofferStrube/Blazor.GraphEditor
Demo: https://kristofferstrube.github.io/Blazor.GraphEditor/SelectCallback

A demo of dragging around nodes in a graph and selecting them.

One day, one decomposition
A046712: From the Bruck-Ryser theorem: numbers n == 1 or 2 (mod 4) which are not the sum of 2 squares

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A046712.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A046712.html

#decompwlj #maths #mathematics #sequence #OEIS #javascript #php #3D #numbers #sum #squares #BruckRyser #theorem #graph #threejs #webGL

Decomposition into weight × level + jump of A046712 in 2D (log(weight), log(level))

Decomposition into weight × level + jump of A046712 in 3D (threejs - WebGL) (log(weight), log(level), log(jump))

dmstork

While #MSExchange remains a core solution in many organizations, the use of #Exchange Web Servers (#EWS) is being replaced by #Microsoft #Graph. It is important to assess whether EWS is still being used and act if necessary.

The Exchange Product Group has published a series of blogs to help with this migration. Check out the first introductory blog here: https://techcommunity.microsoft.com/t5/exchange-team-blog/ews-exchange-web-services-to-microsoft-graph-migration-guide/ba-p/3957158

#WeekITtip #SimplifyNow

➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

#decompwlj ➡️ It's a decomposition of positive integers. The weight is the smallest such that in the Euclidean division of a number by its weight, the remainder is the jump (first difference, gap). The quotient will be the level. So to decompose a(n), we need a(n+1) with a(n+1)>a(n) (strictly increasing sequence), the decomposition is possible if a(n+1)<3/2×a(n) and we have the unique decomposition a(n) = weight × level + jump.

We see the fundamental theorem of arithmetic and the sieve of Eratosthenes in the decomposition into weight × level + jump of natural numbers. For natural numbers, the weight is the smallest prime factor of (n-1) and the level is the largest proper divisor of (n-1). Natural numbers classified by level are the (primes + 1) and natural numbers classified by weight are the (composites +1).

For prime numbers, this decomposition led to a new classification of primes. Primes classified by weight follow Legendre conjecture and i conjecture that primes classified by level rarefy. I think this conjecture is very important for the distribution of primes.

It's easy to see and prove that lesser of twin primes (>3) have a weight of 3. So the twin primes conjecture can be rewritten: there are infinitely many primes that have a weight of 3.

I am not mathematician so i decompose sequences to promote my vision of numbers. By doing these decompositions, i apply a kind of sieve on each sequences.

#math #maths #mathematics #sequences #OEIS #NumberTheory #PrimeNumbers #JavaScript #php #graph #3D #classification #primes #threejs #webGL #integer #decomposition #arithmetic #numbers #theory #equation #graphs #sieve #fundamental #theorem #arithmetic

Jack Linke 🦄

#programming #graph #wikipedia

Was reading some graph theory stuff earlier, and came across this Wikipedia article on Graph Reduction, which provides a low-level explanation of how Lazy Evaluation in programming works.

It's a really cool (and pretty short) read: https://en.wikipedia.org/wiki/Graph_reduction

The more I learn about topics in graph theory, the more my view of everything in the world becomes more graph-like 😂

Fractal Kitty

https://codepen.io/fractalkitty/full/abPaVxz

#mathober2023 - Day 6: WeakThis one was an interesting one - weak. I went with a weak snark - which led me down a rabbit hole of slides, papers, and whatnot.

// we all seek something
//but some of us search for that
//which lives in our minds

#mathart #weak #snark #graph #p5js #creativecoding

Karsten Schmidt

https://github.com/thi-ng/umbrella/discussions

#HowToThing #018 — Topological sorting, creating, querying and visualizing a task dependency graph using https://thi.ng/dgraph, https://thi.ng/dot & https://graphviz.org

Dependency graphs are super useful tools for a variety of use cases. Some examples:

Code generation/transpilation, e.g. used to emit code in correct order, detect cyclic references and to avoid duplicate definitions:
https://thi.ng/shader-ast
https://thi.ng/wasm-api-bindgen

Analyzing and visualizing project dependencies (not mobile friendly!): http://dependencies.thi.ng/

Visualizing reactive dataflow graph topologies:
https://github.com/thi-ng/umbrella/blob/develop/packages/rstream-query/README.md#visualizing-a-querys-dataflow-topology

Visualizing dispatch value hierarchies/relationships for polymorphic functions:
https://github.com/thi-ng/umbrella/blob/develop/packages/defmulti/README.md#dispatch-value-graph-visualization

Source code:
https://gist.github.com/postspectacular/4270801b1ffa98b381843ada4c59b0cb

If you have any questions about this topic or packages used here, please reply here or use the discussion forum (or issue tracker):

#ThingUmbrella #Graph #GraphViz #DataViz #DataStructure #TypeScript #JavaScript #Tutorial

Screenshot of the 1st part of the linked TypeScript source code

Screenshot of the 2nd part of the linked TypeScript source code

Screenshot of the Graphviz-generated visualization of the example task graph, showing dependencies as arrows between tasks and already completed tasks highlighted in green.

Kabbaway

3 months ago

WE DID IT!!! 🎉

Thank you all so, so much for 500+ Kabbidges, stand by for a cover of "Song of Lament" from Elden Ring for the 500 Sub Milestone Special!! 🦇🥬

We are officially halfway to a face reveal (at 1,000 Kabbidges), how quickly can we get there? 👀

#YouTube #YT #Milestone #Analytics #Graph #Achievement #Video #ContentCreator #Content_Creator #Subscriber #Subscribers #Sub #Subs #Kabbidge #Kabbidges #Kabbaway #Kabba #Kab #A_Quirky_Australian #EldenRing #Elden_Ring #Music #Song #Cover #Singing #Sing #FaceReveal #Face_Reveal

A screenshot from Kabbaway's YouTube analytics. Text reads "501 Subscribers" with rainbow confetti behind it, and underneath is a channel growth graph showing the slow but steady increase of subs between the dates 26th December 2017 and 27 August 2023.

lgersman

4 months ago

Uhhhh, pretty neat !

https://serialized.net/2019/08/mermaid/

#make #makefile #mermaid #dependency #graph

Ivan Enderlin 🦀

5 months ago

Aquamarine, https://github.com/mersinvald/aquamarine.

> Aquamarine is a procedural macro extension for `rustdoc`, that aims to improve the visual component of Rust documentation through use of the `mermaid.js` diagrams.

Quite neat. I’m unsure what are the benefits over providing an image (even vectorised, eg SVG), but it’s possible.

#RustLang #documentation #visualisation #graph

Danilo Poccia

6 months ago

We are releasing in open source GraphStorm, a low-code enterprise graph machine learning (ML) framework to build, train, and deploy graph ML solutions https://aws.amazon.com/blogs/machine-learning/fast-track-graph-ml-with-graphstorm-a-new-way-to-solve-problems-on-enterprise-scale-graphs/ #AWS #OpenSource #Graph #MachineLearning #ML

ErrantScience

7 months ago

If you ever find yourself thinking “would this graph be better in 3D” the answer is always no⁠ ⁠ #Venn #Graph #VennDiagram #Data⁠ #cartoon #cartoons #comic #comics #instacomic #instacartoon ⁠ #academia #science #research ⁠ #errantscience

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition #Numbertheory

8 months ago

My first, favorite and most important sequence, the weights of prime numbers
⬇️
http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

Screen shot of A117078 on the OEIS: a(n) is the smallest k such that prime(n+1) = prime(n) + (prime(n) mod k), or 0 if no such k exists.

Graphs on the OEIS of A117078 (the weights of prime numbers) pin plot and logarithmic scatterplot

Karsten Schmidt

8 months ago

One of the things I'll be talking about in the stream tomorrow: Understanding that https://thi.ng/rstream constructs are essentially defining a #dataflow #graph much like you'd know from a node-graph based editor (a la Blender/Houdini etc.), only obviously with the difference of actually creating such a graph programmatically rather than manually via visual editing. Personally I find this programmatic approach much more powerful, but a visual representation makes it of course much easier to debug & analyze such graph topologies, also to explain & illustrate to others how data and state changes are flowing through the app/system and/or where to attach new features/nodes or optimize/restructure the topology...

Another massive benefit: This approach makes it much easier to build features such that only the most minimal amount of work needs to be done, helping to achieve better performance...

The attached diagram was generated with #Graphviz via https://thi.ng/rstream-dot and shows the dataflow graph for the image vectorization tool mentioned in previous toots.

Full size version:
https://demo.thi.ng/umbrella/trace-bitmap/topology.html

The tool itself:
https://demo.thi.ng/umbrella/trace-bitmap/

The second image shows the minimal code required to generate the #visualization source file...

Graph visualization of the different dataflow processing nodes in the example app mentioned. The nodes on the LHS are main user controllable inputs/params, connected to reactive UI components and later stream combinators (red nodes) executing the main work of the tool (image vectorizations, geometry generation, canvas rendering, SVG/JSON exports etc.)

TypeScript source code to traverse the entire data flow graph starting from a set of "root" nodes. The result is a GraphViz DOT file which can then be visualized as shown in the previous image...

Source code link:
https://github.com/thi-ng/umbrella/blob/develop/examples/trace-bitmap/src/state/viz.ts

Davy :ferris:

https://github.com/yamafaktory/hypergraph/pull/42

I've just released a new version of Hypergraph :ferris: 🚀 🎉 !

This library uses IndexMap to keep the insertion order of the vertices and the hyperedges in the hypergraph - the goal is to have unique IDs. It appears that IndexMap doesn't use a fast hasher (https://github.com/bluss/indexmap/issues/135) like aHash - which is used by the hashmap implementation we have in std.

By switching to aHash, we get a significant performance boost!

https://crates.io/crates/hypergraph/2.1.0

#rust #rustlang #graph #data

Jon Udell

https://www.infoworld.com/article/3690268/visualizing-mastodon-server-moderation.html

"I had a hunch that relationship graphs would reveal non-obvious connections among these servers. And indeed they do! "

#steampipe #mastodon #moderation #graph

Zhi Zhu 🕸️

#Extremists #Extremism #Violence #Graph #RightWing #GOP #USPolitics #USA

@tzimmer_history

If you think that there is far more right-wing linked violence in the US than left-wing linked violence. You are correct.

"Over the past decade... 96 percent of incidents in which extremists killed someone were committed by people motivated by right-wing ideologies. More than three-quarters of the resulting deaths — 335 of 444 — were linked to right-wing actors."
~@pbump
https://www.washingtonpost.com/politics/2023/02/28/extremism-right-wing-deaths/

Text and graph from article:

Text: Data released by the ADL last week shows the reality. Over the past decade (the period included in YouGov’s poll), 96 percent of incidents in which extremists killed someone were committed by people motivated by right-wing ideologies. More than three-quarters of the resulting deaths — 335 of 444 — were linked to right-wing actors.

Graph showing Extremist linked deaths from 2013 to 2022.

One circle shows "incidents" which is almost completely red (for right-wing extremist) with a very small slice of orange (Domestic Islamist extremist) and an even small slice of blue (Left-wing extremist). There is a teeny-tiny sliver of gray (other).

The other circle shows "Killings." A little over 3/4 of the circle is red (right-wing extremists). About 1/5 of the circle is orange (Domestic Islamist extremist). There is a very small slice of blue (left-wing extremist) and sliver of gray (other).

Source: ADL analysis
https://www.washingtonpost.com/politics/2023/02/28/extremism-right-wing-deaths/

n8chz ⒶⒺ

@fediversereport I voted small f as it's unclear to me whether the social #graph (or federation graph, or for that matter defederation graph) of the fediverse stack is disjoint. Given the resistance shown by #fediverse networks to indexing, I suppose it might not even be an answerable question.

Nullmuseum

Discussing the future of #collaborative #graph thinking.

"I guess one upcoming incentive for #semanticweb tech could be archiving and note keeping. For those that encounter so much info on feeds this could provide better private and collaborative means to collect stuff: ordering, selecting, describing, developing. I am thinking of the experience of using pinterest, #tumblr, #pinboard #obsidian, etc. as kind of cross-platform extensions to feeds and online collections."

I was in particular thinking of the pinboards and are.na walls of scholars like @shannonmattern @lozross and @miriamkp, which I see as examples of a scholarly practice of using boards/hashtags to build archives of posts and links.

Open semantic data in this field would mean freeing data from the feeds in more sustainable ways, beyond public bookmarks. #reclaimyourarchive

Screenshot of a Mastodon post and reply.

First post. Denny Vrandecic: Those are very relevant observations, and this leads to the one large question the Semantic Web never answered: how does the incentive infrastructure look like? The few parts of the Semantic Web that provided a decent answer to that question were the ones that were successful: schema.org, Wikidata and the wider GLAM world, usage inside emails, inside organizations as a data integration technology.

Second post. Lukas Fuchsgruber: Very interesting debate, | guess one upcoming incentive for semantic tech could be archiving and notekeeping. Fort those that encounter info in feeds this could provide better private and collaborative means to collect stuff: ordering, selecting, describing, developing. I am thinking of the experience of using pinterest, tumblr, pinboard, obsidian, etc. as kind of cross-platform extensions to feeds and online collections.

#decompwlj #math #sequences #OEIS #PrimeNumbers #classification #mathematics #primes #numbers #graph #decomposition

10 months ago

My first, favorite and most important sequence, the weights of prime numbers
⬇️
http://oeis.org/A117078

We see prime numbers classified by level and by weight on the graph.

This sequence has led to the decomposition into weight × level + jump ➡️ https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump

Rolf Kleef

10 months ago

Ok, #graph databases at #fosdem, self-assigned homework: study "embeddings" in general, my "hand wavey" understanding isn't cutting it anymore :-) but working with HashGNN node embeddings in #Neo4J looks interesting.

Volkan Özçelik 🦄

10 months ago

YouPlot is a command line tool to draw graphs on the terminal

https://github.com/red-data-tools/YouPlot

#tools #DevEx #plotting #graph #histogram #libraries #CommandLine #cli #console

Sir Rochard 'Dock' Bunson

@aka_quant_noir @CharJTF

Ding ding! Ya'll are so smart!

#Asymptote #Graph

Graph of an asymptote approaching but not reaching the x-axis

jonny

alright I'm about to start working on some #LinkedData / #Graph-based p2p stuff, I am gonna spend some time digging deeper into #SPARQL, and I'm wondering if anyone can point me to any writing (blogs, papers, posts all good) on the good and bad from both a design and implementation POV. I can read the docs, but would like to learn the meta surrounding it from starry-eyed idealists and cranky engineers alike. Boosts for visibility welcome :)

Kevin Pennekamp

dr 🛠️🛰️📡🎧:blobfoxcomputer:

Finally updated my revised explanation of my graph layout algorithm, based on the last reported issues https://crinkles.io/writing/digl-revisited #typescript #writing #graph

Dr. James Cuff :verified:

@davidshq That is what I was saying, but I've probably changed my mind already. I'm not giving up #emacs for notetaking, period. I'd love to add #markdown to my notes, if I can have a freefloating viewer updating in realtime as I edit. The #graph stuff in particular looks really helpful and cool. If #obsidian doesn't do that, or something else does it better, I'm there.

https://github.com/H4kor/fediverse-explorer

Stumbled across a #fediverse viewer.

Calls API requests to find peers and builds an SQLite database.

Driven by:

async with session.get("https://" + instance + "/api/v1/instance/peers") as r:

https://github.com/H4kor/fediverse-explorer/blob/main/pipeline/instances.py

Found myself!

https://h4kor.github.io/fediverse-explorer/

Gives you a sense of peering in the network as size and scale.

#python #dataviz #graph

A goat :verified: :verified:

A very biased #graph of all #Android #Mastodon clients I could think of: #SubwayTooter, #MastodonApp, #Tusky and #FediLab.

Don't ask for my methods. I don't really have any. It's all vibes.

SubwayTooter
Functionality 10/10
Interface 1/10
Ease of use 2/10

Mastodon
Functionality 3/10
Interface 4/10
Ease of use 6/10

Tusky
Functionality 5/10
Interface 10/10
Ease of use 7/10

Fedilab
Functionality 8/10
Interface 5/10
Ease of use 5/10

Davy :ferris:

Name a project you've spent a bunch of hours to craft and then realized that it was presumably way too niche.

Let me start: hypergraph.

I once stumbled upon https://www.wolframphysics.org, bought the book and felt in love with hypergraphs.

Ended bringing https://github.com/yamafaktory/hypergraph to life.

At least it was fun!

#oss #math #graph #data

Leon Lotter