Solving First Order Differential Equations with Julia — https://ritog.github.io/posts/1st-order-DE-julia/1st_order_DE_julia.html
#HackerNews #Solving #Differential #Equations #Julia #Programming #Math #Education #Coding

Learn how to plot easily attractors in @geogebra

https://youtu.be/8_BLhxjrho0

https://x.com/TeXgallery/status/1887272777809346642

So, I learned something this past weekend about sequential exponential numbers, and how they can be verified through addition and subtraction no matter how high the exponents go.

Is this a known thing?

For example:

Every sequential ^2 has a once nested difference that increases by 2 and it's every odd number.

Every sequential ^3 has a twice nested difference of 6, which the first set of differences create a number which must then be subtracted from the next difference to see this pattern.

Every sequential ^4 has a thrice nested difference of 24, which the first set of differences create a number which must then be subtracted from the next set, followed by the third set to see this pattern.

Every sequential ^5 has a quaternary nested difference of 120, which means requires subtracting the sets four times to see the pattern.

So this validates ^6 at the fifth set of differences will provide a pattern of 720, ^7 at the sixth set will provide a pattern of 5040 and so on.

What is this called? Is there a simplified equation that shows this? Any and all help is much appreciated. Thanks!

Watch at: https://youtu.be/wVg0cOgeMZY
Play at: https://www.desmos.com/calculator/ny94vyg90c

I just muted a guy trying to post a 'universal equation' and who used no citations to good peer reviewed papers for it. Beware and don't trust everything you see on the internet, as Gandalf famously said.

The closest thing we have now (early 2025 if you are reading this from the future) to a 'universal equation' is the standard model Lagrangian and it is SUPER LONG (a full page), and would be really awkward to try to put into a post.
#science #physics #equations
Take a look at it yourself:
https://www.symmetrymagazine.org/article/the-deconstructed-standard-model-equation

Ich bin dabei für meine Kids die Aufschriebe der 9. Klasse für die Prüfungen in der 10. etwas schöner darzustellen, zum besseren Lernen.
Aktuell sind wir bei Grundlagen der Elektrotechnik und das Problem, wie so oft, ist das Darstellen in Aufschrieben und Notizen von Formeln.
Klar gibt es Formeleditoren, aber die sind alle etwas umständlich zu handhaben, also lasse ich sie mir einfach von ChatGPT darstellen und füge sie in das Dokument ein.
#chatgpt #equations #formeln #notizenapp

Les #équations peuvent produire des dessins.
Par exemple, voici une équation d'un col de vêtement : |y| + |x²+sin(y)-1| = 1

Si vous voulez l'essayer dans G'MIC -> Rendering -> Equation Plot [Implicit], il faut la traduire : abs(y) + abs(x^2+sin(y)-1) - 1

Vous voudrez peut-être retourner l'image : abs(-y) + abs(x^2+sin(-y)-1) - 1

Vous voudrez peut-être faire un zoom "×2", il faut faire "/2" pour x et pour y : abs(-y/2) + abs(x^2/4+sin(-y/2)-1) - 1

Amusez-vous bien

Les #équations #physiques semblent suivre un mystérieux modèle mathématique basé sur la #linguistique
https://trustmyscience.com/equations-physiques-semblent-suivre-mysterieux-modele-mathematique-linguistique/

Une étude récente révèle que les #équations #mathématiques régissant les #lois de la #physique suivent étrangement un schéma précis en accord avec la #loi de #Zipf , décrivant la #fréquence des #mots dans les #textes de la #linguistique

https://trustmyscience.com/equations-physiques-semblent-suivre-mysterieux-modele-mathematique-linguistique/