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#mathematics

104 posts71 participants1 post today
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Bibliolater 📚 📜 🖋

🔴 **Descartes’ Mathematics**

“_In La Géométrie, Descartes details a groundbreaking program for geometrical problem-solving—what he refers to as a “geometrical calculus” (calcul géométrique)—that rests on a distinctive approach to the relationship between algebra and geometry._”

Domski, Mary, “Descartes’ Mathematics”, The Stanford Encyclopedia of Philosophy (Summer 2025 Edition), Edward N. Zalta & Uri Nodelman (eds.), forthcoming URL = <plato.stanford.edu/archives/su>.

#Descartes#History#HistSci
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Khurram Wadee ✅

A subtlety probably difficult to spot in the animation is that the interaction of the two waves leaves them phase shifted, with the taller wave gaining position, while the shorter one loses it. This further animation shows the interactions again (purple) but I’ve also shown what would happen if each wave moved without interaction with the other (red and blue).

GIF
#Animation#Mathematics#AppliedMathematics
Continued thread
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Khurram Wadee ✅

When you start looking at #NonlinearWaves, some of these principles no longer apply. For example, in the Korteweg-de Vries equation, which has #Soliton or solutions, you can no longer simply add two solutions together as the resulting function would not be a solution of the governing equation. Waves of different heights travel at different velocities, with the taller waves moving faster than the shorter ones. Instead, they interact #nonlinearly.

3/4

#Mathematics#AppliedMathematics#Physics
Replied to Jesús Estrada
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Pepe el del Molino

@JesusEstrada

Pues en los últimos tiempos, desde que conocí tu obra, me estoy dando cuenta de que todo quien se relacionó conmigo lo hizo sintiéndose superior a mí. Pero, caramba, yo también lo hacía, y no sé por qué, sentía que era necesario.

#fediverse #space #science #mathematics #books #music #politica #noticias #capitalismo #estadodederecho #democracia #europa #PeriodismoGonzo #DerechosHumanos #planetatierra #rural #texas #GreatLakes #trans #LGBTQIA+ #transphobia #politics #culture

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Paysages Mathématiques

"Of all scientists, mathematicians are undoubtedly the most committed to their libraries. This is understandable: on the one hand, mathematical writings are often long and difficult to master, and on the other hand, their lifespan is considerable. In what other science do we find articles that can run to several hundred pages? And in what other science do we find treatises that remain valid for centuries, even millennia [...]" – Cédric Villani (1973-)
#quote #mathematics #maths #math

Photographic portrait of Cédric Villani, and a quote : "Of all scientists, mathematicians are undoubtedly the most committed to their libraries. This is understandable: on the one hand, mathematical writings are often long and difficult to master, and on the other hand, their lifespan is considerable. In what other science do we find articles that can run to several hundred pages? And in what other science do we find treatises that remain valid for centuries, even millennia, like literary works?"
Replied to Jesús Estrada
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Anna Simpson

@JesusEstrada

This is all very well, Jesus, but don't you have anything more modern, more current? Because with each passing day, things get more complicated, and absurd positions are being taken.

#usa #books #music #humour #humor #AI #satire #parody #funny #fun
#jokes #Elon #Trump #milei #freedom #optimism #space #science #mathematics #Nothing #StaffMembers #sign #pictures #darkness #deep #Ambient #atmospheric #emotional #depression #rio #river

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glyn

TIL about (Emmy) Noether's first theorem: "every continuous symmetry of the action of a physical system with conservative forces has a corresponding conservation law." en.m.wikipedia.org/wiki/Noethe

Far less famous than Einstein, Noether was a mathematical genius and her theorem is, according to Frank Wilczek (a standard model contributor): "the single most profound result in all of physics".

Via Marcus Chown in Prospect magazine, reviewing "Einstein's Tutor" by Lee Phillips

en.m.wikipedia.orgNoether's theorem - Wikipedia
#physics#mathematics
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