French mathematician and physicist Henri Poincaré was born #OTD in 1854.
He is considered one of the founders of the field of topology. He was among the first to present the Lorentz transformations, part of the groundwork for Albert Einstein’s theory of special relativity. Poincaré also studied the behavior of planetary orbits and contributed to the three-body problem in celestial mechanics, exploring the stability and motion of celestial bodies.
Okay, it's time. Time to change servers. Time to have local & federated timelines that don't make my eyes bleed. Time to support an indie effort.
Does anyone want to share about their server? My main interests are #Music - I play #Eurorack#Synth, #Guitar, #ChapmanStick, and software, with varying degrees of skill - and #Mathematics - I'm attempting to get into grad school for #Math to facilitate a career change. I'm also liberal af, if that matters one way or the other on your server.
"Mathematics may be defined as the subject in which we never know what we are talking about, nor whether what we are saying is true." – Bertrand Russell (1872–1970) #quote#mathematics#maths#math
German mathematician and mathematics educator Felix Klein was born #OTD in 1849.
He is best known for his substantial contributions to group theory, complex analysis, non-Euclidean geometry, and for connecting mathematics with other disciplines, notably physics. His notable achievements are the Erlangen Program, Complex Analysis and Algebraic Geometry, Klein Bottle, and Klein's Quartic Curve.
"The proof that π is a transcental number will forerver mark an epoch in mathematical science. It gives the final answer to the problem of squaring the circle and settles this vexed question once for all. This problem requires to derive the number π by a finite number of elementary geometrical processes, i.e. with the use of the ruler and compasses alone."
Lectures on Mathematics delivered from Aug. 28 to Sept. 9, 1893 at Northwestern University, p. 52.
French mathematician and physicist Siméon-Denis Poisson died #OTD in 1840.
He is known for his significant contributions to mathematical physics, particularly in the fields of mechanics, probability theory, and electricity. He made crucial advancements in understanding the behavior of fluids & the mathematical treatment of physical phenomena. Some of his most notable contributions include: Poisson distribution, potential theory, fluid mechanics, electromagnetism.
Holy crap. Someone won the Texas Lotto -- to the tune of $95 million -- by buying every combination of number available. They apparently invested approximately $25.8M to accomplish that. (Paywall busted below) https://archive.is/etkX9
Proof they bought every number is they ALSO cashed in every combination of five-out-of-six wins possible, per that article. #math#lotto#mathematics#odds
Where (in England) do they sell physical copies of mathematics and physics textbooks that you can pick up and peruse before buying?
The obvious answer is Foyles on Charing Cross Road, but lately the selection of maths & physics textbooks there has been pitiful. They're barely bothering to stock textbooks any more (it didn't look much better for the adjacent chemistry and biology sections either), and lately when I've gone, it's not sated my need to physically shop for textbooks.
Spanish playwright, economist, mathematician, and politician José Echegaray was born #OTD in 1832.
One of his most famous plays is "El gran Galeoto", which explores themes of jealousy, honor, and redemption. Another notable work is "El loco Dios", which delves into the relationship between faith and reason. He won the fourth Nobel Prize for Literature in 1904, making him the first Spaniard to receive this award.
«Las matemáticas forman una salsa que viene bien a todos los guisos del espíritu. Armonizan con la música y el arte en general. Como que todas son armonías, variedades en una o en otra forma, que se resuelven en una alta y bella unidad».
"Mathematics forms a sauce that goes well with all the stews of the spirit. They harmonize with music and art in general. As it were, they are all harmonies, varieties in one form or another, resolving into a high and beautiful unity."
Today, 200 students from schools in Tirol, Vorarlberg and Salzburg are taking part in the international #Mathematics Competition #Naboj at the University of Innsbruck #study#maths
Mathematicians sometime talk about algebra and geometry being dual to each other. One way to formalise this is by talking about opposite categories. If the objects of a category act like algebras, then in the opposite category they act like spaces.
But the category of finite dimensional vector spaces is its own opposite! This suggests that linear algebra is in some sense the place where algebra and geometry meet. Perhaps that explains why it's so tractable and efficacious.
I feel there has to be a way of training neural networks to recognise the influence of their training data on the output.
This would probably include training a complementary indexing network + database that would then ”reverse-training” resolve and offer at some predetermined accuracy the #copyright-viable sources for each generated #aiart
I need some help though. A proof would show the companies know it can be done, but they just don’t want to.