Die Kür in der Mathematik besteht darin, Brücken zu schlagen. Nun haben Forscher einen Zusammenhang zwischen Elektromagnetismus, Geometrie und Zahlentheorie entdeckt.#Langlands-Programm #Galois #Galoisgruppe #Algebra #Zahlentheorie #Geometrie #Fermat #Riemann #RiemannscheVermutung #Gruppentheorie #Symmetrie #Wiles #Mathematik #Physik
Ungeahnte Verbindung zwischen Physik und Zahlentheorie

Langlands-Programm: Ungeahnte Verbindung zwischen Physik und Zahlentheorie

Drei Forscher haben einen Zusammenhang zwischen Elektromagnetismus, Geometrie und Zahlentheorie entdeckt

Die Mathematik löst Probleme. Doch manchmal ist es wichtiger, vorab zu prüfen, ob es überhaupt eine Lösung gibt.#SatzvonKronecker-Capelli #Freistetter #FreistettersFormelwelt #Mathematik #Algebra #Gauß
Freistetters Formelwelt: Ein Theorem für Faule

Freistetters Formelwelt: Ein Theorem für Faule

Bevor man mit der Arbeit startet, sollte man prüfen, ob es sich lohnen wird

Vector distances in Clojure

https://youtu.be/4NdcrkWiGrw

#Clojure #Programming #Vectors #Algebra #Math #DataScience

Algebra

#algebra

It's an old joke

#x #algebra

It's straightforward to calculate the #components of a #2D #vector given that you have a pre-defined set of #axes. Often, we talk about #cartesian #coordinates. If the vector changes, whether in #magnitude or #direction, we can calculate the updated components too. The converse question is what if the the vector is held constant and you change or #rotate the axes? The components in the new coordinate system can be found with a little bit of #trigonometry and #algebra. As vectors are #first-order #tensors, they are much simpler to calculate than quantities like stress for which I've also made an animation for if you search for the hashtag #tensors.

In this animation, you can see the components changing as the axes go through a full rotation.

#MyWork #CCBYSA #Mathematics #Mechanics

In #SolidMechanics, #stress has some counter-intuitive properties, particularly when you rotate the coordinate system. The values of normal and shear stress transform according to the rules of #second-order #tensors, which is a step above #vectors (first-order tensors). To avoid always having to use #matrix #algebra to find the components, #engineers and #mathematicians have long used the Mohr's circle to evaluate them. This is a very handy tool and allows you to find the new values by using circular geometry instead.

Here, I've used #WxMaxima to create this #animation.

#Mechanics #Mathematics #Engineering #MohrsCircle #FreeSoftware

● NEWS ● #DemocracyNow ☞ Remembering #CivilRights Icon Bob Moses: Organized SNCC, Miss. Freedom Summer & #Algebra Project https://www.democracynow.org/2021/7/26/rip_civil_rights_leader_bob_moses

Remembering Civil Rights Icon Bob Moses: Organized SNCC, Miss. Freedom Summer & Algebra Project

We remember the life of Bob Moses, the civil rights leader who left his job as a New York City high school teacher to register Black voters in Mississippi in the 1960s, facing down horrific violence and intimidation to become one of the icons of...