(The White House in Spring/Summer 2024): We could classify any area of math we think is leading in a bad direction to make it a state secret and "it will end".

My decomposition is a state secret since 2011. Wake up!

Generation of three sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:

The natural numbers (A000027):

At last, a material benefit from all those years of putting 24 hour expiries into BIND configs.

NOT TODAY, SATAN.

Arithmetica & Musica 16th Century Roman Greek Goddess⁣
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#16thCentury, #Arithmetic, #Goddess, #Gods, #Greek, #Inspiration, #MarinBonnemere, #Mathematics, #Music, #Musicians, #Numbers, #Roman⁣
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Vintage ◦ Classic ◦ Historical | Art ◦ Design ◦ Inspiration | Restored ◦ Enhanced ◦ Remixed⁣
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Prints, T-Shirts, Stickers, & More by @rocketshipretro via RedBubble → https://bigplanetprints.com/go/bCKnIV

The Peano Axioms: Building Blocks of Arithmetic

https://principlesofcryptography.com/number-theory-primer-an-axiomatic-study-of-natural-numbers-peano-axioms/

One day, one decomposition
A209203: Values of the difference d for 4 primes in geometric-arithmetic progression with the minimal sequence {5*5^j + j*d}, j = 0 to 3

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A209203.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A209203.html

One day, one decomposition
A209202: Values of the difference d for 3 primes in geometric-arithmetic progression with the minimal sequence {3*3^j + j*d}, j = 0 to 2

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A209202.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A209202.html

One day, one decomposition
A206039: Values of the difference d for 5 primes in arithmetic progression with the minimal start sequence {5 + j*d}, j = 0 to 4

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A206039.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A206039.html

One day, one decomposition
A206038: Values of the difference d for 4 primes in arithmetic progression with the minimal start sequence {5 + j*d}, j = 0 to 3

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A206038.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A206038.html

"A calculator app? Anyone could make that.

Not true.

A calculator should show you the result of the mathematical expression you entered. That's much, much harder than it sounds.

What I'm about to tell you is the greatest calculator app development story ever told."

https://chadnauseam.com/coding/random/calculator-app

Sample questions for practice.
#maths #length #mass
#arithmetic

Riffs and Rotes • Happy New Year 2025
• https://inquiryintoinquiry.com/2025/01/01/riffs-and-rotes-happy-new-year-2025/

\( \text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}. \)

\( \text{Then} ~ 2025
= 81 \cdot 25
= 3^4 5^2 \)

\( = {p_2}^4 {p_3}^2
= {p_2}^{{p_1}^{p_1}} {p_3}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_2}}^{p_1}
= {p_{p_1}}^{{p_1}^{p_1}} {p_{p_{p_1}}}^{p_1} \)

No information is lost by dropping the terminal 1s. Thus we may write the following form.

\[ 2025 = {p_p}^{p^p} {p_{p_p}}^p \]

The article linked below tells how forms of that sort correspond to a family of digraphs called “riffs” and a family of graphs called “rotes”. The riff and rote for 2025 are shown in the next two Figures.

Riff 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/riff-2025.png

Rote 2025
• https://inquiryintoinquiry.files.wordpress.com/2025/01/rote-2025.png

Reference —

Riffs and Rotes
• https://oeis.org/wiki/Riffs_and_Rotes

#Arithmetic #Combinatorics #Computation #Factorization #GraphTheory #GroupTheory
#Logic #Mathematics #NumberTheory #Primes #Recursion #Representation #RiffsAndRotes

After looking for a long time, I finally found this #Sliderule, which belonged to my late father. Some of you will know that these #devices were used, before the advent of digital #Calculators, to perform #arithmetic operations such as #multiplication and #division to about three significant figures, by #scientists and #engineers.

#Mathematics #Computation (1/2)

"We could classify any area of math we think is leading in a bad direction to make it a state secret and "it will end"."

My decomposition is a state secret.
Academia is 13 years late.

One day, one decomposition
A134619: Numbers such that the arithmetic mean of the cubes of their prime factors (taken with multiplicity) is a prime

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A134619.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A134619.html

One day, one decomposition
A134617: Numbers such that the arithmetic mean of the squares of their prime factors (taken with multiplicity) is a prime

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A134617.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A134617.html

One day, one decomposition
A134344: Composite numbers such that the arithmetic mean of their prime factors (counted with multiplicity) is prime

3D graph, threejs - webGL https://decompwlj.com/3Dgraph/A134344.html
2D graph, first 500 terms https://decompwlj.com/2Dgraph500terms/A134344.html

The main OEIS pages about my decomposition are no longer indexed on Google:
User https://oeis.org/wiki/User:R%C3%A9mi_Eismann
#decompwlj https://oeis.org/wiki/Decomposition_into_weight_*_level_%2B_jump
A117078 https://oeis.org/A117078