One day, one decomposition
A039004: Numbers whose base-4 representation has the same number of 1's and 2's

3D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A039004.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A039004.html

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

Navigating in a 3d raycasted world with #calculang and @uwdata

+ a little rewind ⏪

#computergames #maths #calculang #ShowMeTheAlgorithm @id_aa_carmack

"2 + 1 = 3. There's no other way to make 3!"

Child 2 (just turned 4) is getting into numbers, thanks in part to Numberblocks. I'm particularly proud of this observation...

#maths #NumberBlocks #parenting

The best A – A ≠ 0 paradox
Source : Youtube / Mathologer

https://www.youtube.com/watch?v=VO2A6I3Woos
#mathematics #math #maths

Mathématiques pratiques et éloquence latine : De arte supputandi (1522), premier livre de mathématiques imprimé en Angleterre
Source : CNRS - Image des mathématiques / Kent, Deborah

https://images.math.cnrs.fr/Mathematiques-pratiques-et-eloquence-latine.html
#mathématiques #maths #math

1/4
#MathsMonday
1917 (iii) - Terms included in denominator
My investigation into (alleged) changes in #Mathematics rules in 1917 started with claims that the number of terms included in the denominator of a #Math expression was changed in 1917 (though I've yet to find any actual evidence of this - let me know if you have a reference for it). Some mentioned Lennes' letter, yet his letter says nothing at all about this! For now, let's assume it's true and see what that would mean for #Maths...

I promised updates whenever I make a substantive change. "Chapter 0" is complete #firstdrafts #math #maths https://github.com/mrshrbrmstr/Math4Business/tree/main
Let me know what you think. Be honest but be gentle please.

📢 C'est parti !! La 1re session d'échanges échiquéens du projet #QuotiChess démarre dès la semaine prochaine sur Mastodon 🦣 et par mail 📨!
4️⃣ 5️⃣ classes
9️⃣ 5️⃣ 0️⃣ élèves5️⃣
pays 🇫🇷🇨🇦🇺🇸🇨🇭🇬🇧

#Échecs #CPS #EMI #EMC #Maths #Communication #EduNum #chess

@scollectif
#TeamPE #TeamProf #TeamEduc #Education #Pédagogie #Numérique #Projets #Echanges

Some useful inequalities:

1. Cauchy–Schwarz inequality

\[\displaystyle\sum_{k=1}^na_kb_k\leq\sqrt{\sum_{k=1}^na_k^2}\sqrt{\sum_{k=1}^nb_k^2\]

2. Hölder's inequality

\[\displaystyle\sum_{k=1}^n\left|a_kb_k\right|\leq\left(\sum_{k=1}^n|a_k|^p\right)^{1/p}\left(\sum_{k=1}^n|b_k|^q\right)^{1/q}\]

3. Minkowski's inequality

\[\displaystyle\left(\sum_{k=1}^n\left|a_k+b_k\right|^p\right)^{1/p}\leq\left(\sum_{k=1}^n|a_k|^p\right)^{1/p}+\left(\sum_{k=1}^n|b_k|^p\right)^{1/p}\]

4. Hardy's inequality

\[\displaystyle\sum_{k=1}^\infty\left(\dfrac{a_1+a_2+\cdots+a_k}{k}\right)^p\leq\left(\dfrac{p}{p-1}\right)^p\sum_{k=1}^\infty a_k^p\]

#Inequality #Cauchy #Schwarz #Hölder #Minkowski #Hardy #Maths #Mathstodon #Mastodon #Mathematics

"The chemist smiles at the childish efforts of alchemists, but the mathematician finds the geometry of the Greeks and the arithmetic of the Hindoos as useful and admirable as any research of today." – Florian Cajori (1859-1930)
#quote #mathematics #math #maths

"Le chimiste sourit des efforts puérils des alchimistes, mais le mathématicien trouve la géométrie des Grecs et l'arithmétique des Hindous aussi utiles et admirables que n'importe quelle recherche recherche d'aujourd'hui."– Florian Cajori (1859-1930)
#citation #mathématiques #maths #math

#puzzle #énigme #logical #logique #maths #mathematics
Ce collier de perles est formé de 25 cercles de même taille. La ficelle passe par le centre de chaque cercle. La zone délimitée par la chaîne à l'intérieur de chaque cercle est ombrée en bleu et les zones restantes des cercles sont ombrées en orange. Quelle est l'aire la zone orange moins la zone bleue ?

Note: on peut répondre en faisant des calculs géométriques. Mais il y a une autre manière 😘 !

Merci de BOOSTER + répondre en mode CW.

Carnival of Mathematics 219
Source : The Aperiodical / Reflections and Tangents

https://karendcampe.wordpress.com/2023/09/09/carnival-of-mathematics/
#mathematics #math #maths

10 septembre 1839 : #CeJourLà naissance de Charles Sanders Peirce (†9/4/1914), philosophe, logicien et mathématicien américain, qui a contribué au développement de la logique mathématique. Il est le premier à utiliser des tables de vérité.
https://fr.wikipedia.org/wiki/Charles_Sanders_Peirce
#mathématiques #maths #math

@Mnaudin
As a #Mathematics teacher who uses the #Maths method on the left, I can tell you I would never write out all those steps of working out. In fact I wouldn't even write it out. I do that one in my head as 310+2*31=310+62=372. Only takes 2-3 seconds. Not sure if there's a similar mental technique for the #Math method on the right(?), but as far as I can see method on the left is actually the far quicker of the two.

The fact there is a :ramanujan: emoji just fills my heart with joy

Thank you #mathstodon for existing

#maths #ramanujan

#maths #math #mathematics #mathematiques #mathstodon
Dans ce match Chine vs. Japon, on retrouve la « distributivité » chez les deux, chacun à sa manière.

Explication de la méthode japonaise :
Voir pouète suivant.

https://shadycharacters.co.uk/2015/03/percent-sign/

fascinating origin story of the #percent sign #math #maths

"It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the sciences." – Eric Temple Bell (1883-1960)
#quote #mathematics #math #maths

"C’est l’éternelle jeunesse des mathématiques elles-mêmes qui les distingue des sciences par une immortalité déconcertante." – Eric Temple Bell (1883-1960)
#citation #mathématiques #maths #math