#fermat — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #fermat, aggregated by home.social.
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It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career
is too small to contain. #fermat #variation #iactuallydohaveatheory -
It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career
is too small to contain. #fermat #variation #iactuallydohaveatheory -
It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career
is too small to contain. #fermat #variation #iactuallydohaveatheory -
It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career
is too small to contain. #fermat #variation #iactuallydohaveatheory -
It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career
is too small to contain. #fermat #variation #iactuallydohaveatheory -
Results ranging from visualizable theorems of solid geometry to abstract propositions of analysis were called beautiful by Leonhard Euler (1707–83). For instance, he thought beautiful the following result:
If an elliptical cylinder is cut by any plane at an angle θ, then the ratio of the product of the principal axes of the section and of the product of the principal axes of the base is 1:cos θ (see attached image).
Aesthetic concerns seem to have been part of what drew Euler to number theory. Christian Goldbach (1690–1764) persuaded him to take an interest in the subject and to make a serious study of Fermat's work. His attention was drawn by the theorem:Every natural number can be expressed as a sum of four squares.
With presumably deliberate understatement, Euler described it as a ‘not inelegant theorem’. The result remained unproven in Euler's time, and the first proof was given by Joseph-Louis Lagrange (1736–1813), becoming known as ‘Lagrange’s four-square theorem’.
Thus, for Euler, *unproven* conjectures could have aesthetic value. And so he judged another well-known then-unproven result of Fermat:
‘In Fermat there is another very beautiful theorem for which he claims to have found a proof. […] the formula $a^n + b^n = c^n$ is impossible whenever $n > 2$’1/2
[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Euler #Fermat #Goldbach #Lagrange #FermatsLastTheorem #MathematicalBeauty
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Results ranging from visualizable theorems of solid geometry to abstract propositions of analysis were called beautiful by Leonhard Euler (1707–83). For instance, he thought beautiful the following result:
If an elliptical cylinder is cut by any plane at an angle θ, then the ratio of the product of the principal axes of the section and of the product of the principal axes of the base is 1:cos θ (see attached image).
Aesthetic concerns seem to have been part of what drew Euler to number theory. Christian Goldbach (1690–1764) persuaded him to take an interest in the subject and to make a serious study of Fermat's work. His attention was drawn by the theorem:Every natural number can be expressed as a sum of four squares.
With presumably deliberate understatement, Euler described it as a ‘not inelegant theorem’. The result remained unproven in Euler's time, and the first proof was given by Joseph-Louis Lagrange (1736–1813), becoming known as ‘Lagrange’s four-square theorem’.
Thus, for Euler, *unproven* conjectures could have aesthetic value. And so he judged another well-known then-unproven result of Fermat:
‘In Fermat there is another very beautiful theorem for which he claims to have found a proof. […] the formula $a^n + b^n = c^n$ is impossible whenever $n > 2$’1/2
[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Euler #Fermat #Goldbach #Lagrange #FermatsLastTheorem #MathematicalBeauty
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Results ranging from visualizable theorems of solid geometry to abstract propositions of analysis were called beautiful by Leonhard Euler (1707–83). For instance, he thought beautiful the following result:
If an elliptical cylinder is cut by any plane at an angle θ, then the ratio of the product of the principal axes of the section and of the product of the principal axes of the base is 1:cos θ (see attached image).
Aesthetic concerns seem to have been part of what drew Euler to number theory. Christian Goldbach (1690–1764) persuaded him to take an interest in the subject and to make a serious study of Fermat's work. His attention was drawn by the theorem:Every natural number can be expressed as a sum of four squares.
With presumably deliberate understatement, Euler described it as a ‘not inelegant theorem’. The result remained unproven in Euler's time, and the first proof was given by Joseph-Louis Lagrange (1736–1813), becoming known as ‘Lagrange’s four-square theorem’.
Thus, for Euler, *unproven* conjectures could have aesthetic value. And so he judged another well-known then-unproven result of Fermat:
‘In Fermat there is another very beautiful theorem for which he claims to have found a proof. […] the formula $a^n + b^n = c^n$ is impossible whenever $n > 2$’1/2
[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Euler #Fermat #Goldbach #Lagrange #FermatsLastTheorem #MathematicalBeauty
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Results ranging from visualizable theorems of solid geometry to abstract propositions of analysis were called beautiful by Leonhard Euler (1707–83). For instance, he thought beautiful the following result:
If an elliptical cylinder is cut by any plane at an angle θ, then the ratio of the product of the principal axes of the section and of the product of the principal axes of the base is 1:cos θ (see attached image).
Aesthetic concerns seem to have been part of what drew Euler to number theory. Christian Goldbach (1690–1764) persuaded him to take an interest in the subject and to make a serious study of Fermat's work. His attention was drawn by the theorem:Every natural number can be expressed as a sum of four squares.
With presumably deliberate understatement, Euler described it as a ‘not inelegant theorem’. The result remained unproven in Euler's time, and the first proof was given by Joseph-Louis Lagrange (1736–1813), becoming known as ‘Lagrange’s four-square theorem’.
Thus, for Euler, *unproven* conjectures could have aesthetic value. And so he judged another well-known then-unproven result of Fermat:
‘In Fermat there is another very beautiful theorem for which he claims to have found a proof. […] the formula $a^n + b^n = c^n$ is impossible whenever $n > 2$’1/2
[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Euler #Fermat #Goldbach #Lagrange #FermatsLastTheorem #MathematicalBeauty
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Results ranging from visualizable theorems of solid geometry to abstract propositions of analysis were called beautiful by Leonhard Euler (1707–83). For instance, he thought beautiful the following result:
If an elliptical cylinder is cut by any plane at an angle θ, then the ratio of the product of the principal axes of the section and of the product of the principal axes of the base is 1:cos θ (see attached image).
Aesthetic concerns seem to have been part of what drew Euler to number theory. Christian Goldbach (1690–1764) persuaded him to take an interest in the subject and to make a serious study of Fermat's work. His attention was drawn by the theorem:Every natural number can be expressed as a sum of four squares.
With presumably deliberate understatement, Euler described it as a ‘not inelegant theorem’. The result remained unproven in Euler's time, and the first proof was given by Joseph-Louis Lagrange (1736–1813), becoming known as ‘Lagrange’s four-square theorem’.
Thus, for Euler, *unproven* conjectures could have aesthetic value. And so he judged another well-known then-unproven result of Fermat:
‘In Fermat there is another very beautiful theorem for which he claims to have found a proof. […] the formula $a^n + b^n = c^n$ is impossible whenever $n > 2$’1/2
[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Euler #Fermat #Goldbach #Lagrange #FermatsLastTheorem #MathematicalBeauty
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Number theory was the one area of mathematics on which Pierre de Fermat (1607–65) worked throughout his life, and he found it ‘very beautiful and very subtle’.
Among other results, he said that the Polygonal Number Theorem (which asserts that every natural number is the sum of at most $n$ $n$-gonal numbers) was ‘a most beautiful and wholly general proposition […] this marvellous proposition’.
(He offered no proof of this result, but claimed to have one in a marginal note to Diophantus' Arithmetica; this was the same book in which he noted what became known as Fermat's Last Theorem.)
Fermat also seems to have counted magic squares and analogous configurations as part of number theory, and wrote that: ‘I know hardly anything more beautiful in arithmetic than these numbers that some call planetary and others magic’. (The term ‘planetary’ is derived from certain treatises linking the magic squares to planets used in talismans.)
He said he had found a rule to find magic cubes (one of his examples is in the attached image) and also determined how many different ways each such cube can be arranged, which he called ‘one of the most beautiful things in arithmetic’.
1/2
[Each day of February, I am posting a short interesting story/image/fact/anecdote related to the aesthetics of mathematics.]
#Fermat #NumberTheory #HistMath #MathematicalBeauty #MagicSquare
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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 - The Biggest Project in Modern #Mathematics
https://www.youtube.com/watch?v=_bJeKUosqoY&ab_channel=QuantaMagazine
#LanglandsProgramme #LanglandsProject #NumberTheory #Arithmetic #Math #Maths #Mathematics #Harmonics #HarmonicTheory #Numbers #Ramanujan #Fermat #Wiles #Weil #Frey #Proof #MathematicalProof
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CW: Lomg. Probably too long. Not funny either. Move on.
@deankarrier Noooooooooooooooo I really won't, OP.
I have reasons. #Marbelous #reasons.
Yet!
For reasons too small to contain in this elaborately #spacious and #bountiful character limit with #room for all of this and how much #time could #Fermat have saved all of us Humans and other Math Users if only he knew a little #user #interface #design #principles.
We could be #tripping around the #solarsystem by now #inTheFlesh.
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CW: Lomg. Probably too long. Not funny either. Move on.
@deankarrier Noooooooooooooooo I really won't, OP.
I have reasons. #Marbelous #reasons.
Yet!
For reasons too small to contain in this elaborately #spacious and #bountiful character limit with #room for all of this and how much #time could #Fermat have saved all of us Humans and other Math Users if only he knew a little #user #interface #design #principles.
We could be #tripping around the #solarsystem by now #inTheFlesh.
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CW: Lomg. Probably too long. Not funny either. Move on.
@deankarrier Noooooooooooooooo I really won't, OP.
I have reasons. #Marbelous #reasons.
Yet!
For reasons too small to contain in this elaborately #spacious and #bountiful character limit with #room for all of this and how much #time could #Fermat have saved all of us Humans and other Math Users if only he knew a little #user #interface #design #principles.
We could be #tripping around the #solarsystem by now #inTheFlesh.
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How Fermat's 'last theorem' was proved:
https://www.youtube.com/watch?v=nUN4NDVIfVI
#maths #Fermat #mathematics #elliptic #modular -
Vandaag is de 70ste verjaardag van Andrew Wiles. In 2016 won hij de Abelprijs voor zijn bewijs van de laatste stelling van Fermat. Hij was toen de jongste Abelprijswinnaar ooit.
#andrewwiles #abelprize #fermat https://www.nrc.nl/nieuws/2016/03/17/wederopstanding-van-een-bewijs-1599430-a1092174 -
It is possible to develop bug-free software using the "piped" development model. I have a truly marvellous demonstration of this proposition, which this career
is too small to contain. #fermat #variation #iactuallydohaveatheory -
📐 "Dernier théorème de #Fermat : à l'épreuve de l'informatique" (La Science, CQFD, 27 mars 2025)
https://www.radiofrance.fr/franceculture/podcasts/la-science-cqfd/le-dernier-theoreme-de-fermat-8350706
"Un projet collaboratif s’est donné pour objectif de formaliser la #preuve du #théorème de Fermat afin de pouvoir l’apprendre à un ordinateur. Quel est l’enjeu de cette formalisation ? Pourquoi est-ce si compliqué ? Qu’est-ce qu’un assistant de preuve et quel est son rôle en mathématiques ?" -
Fermat conjectured that for \(n\) a non-negative integer, all numbers of the form \(2^{2^n}+1\) are prime.
Was there ever a worse conjecture in maths than that?
#Maths #Math
#MathsEd #MathEd
#MathsChat #MathChat
#Fermat #Conjecture
#Primes #FermatPrimes -
"Golden Angle"
1000 small squares go from an angular offset of 0 up to the golden angle of 137.508°.
From a line to the perfect distribution in a Fermat spiral based on the Fibonacci series.This is the speedramp-version.
Watch the full one-hour math meditation / living painting on a big screen at 4k 60fps on YouTube:
https://youtu.be/PmOVaKauq8U#Tooll3 #realtime #Fermat #Fibonacci #Spiral #meditation #math #creativecoding #HLSL #mathtodon #abstractart #beautyofmath #opensource
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Happy birthday to French mathematician, physicist and philosopher Marie-Sophie Germain (1776 – 1831), known as Sophie. She taught herself mathematics using books in her father's library and by corresponding with leading mathematicians of her day, including Lagrange, Legendre and Gauss, …
#linocut #printmaking #sciart #mathart #SophieGermain #ChladniFigures #mathematician #Fermat #womenInSTEM #physicist #elasticity #Gauss #histstm #printmaker #ReliefPrint #WomensHistoryMonth
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#Fermat’s Last #Theorem: The 350-Year-Old #Mathematical #Drama That Finally Ended : Medium
#Amazon lakes hit ‘#Unbearable’ hot-tub temperatures amid mass die-offs of pink #River #Dolphins – study : Guardian
Great #Nicobar #Island: Hurtling Towards an #Environmental #Catastrophe : Misc
Latest #KnowledgeLinks
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Lean proof of Fermat's Last Theorem [pdf]
https://imperialcollegelondon.github.io/FLT/blueprint.pdf
#HackerNews #Lean #Fermat #Last #Theorem #proof #pdf #mathematics #research
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#Fermat
F₇ - fully factored 1970
F₈ - fully factored 1980
F₉ - fully factored 1990
wait...
I see a pattern here! -
#OnThisDay British #Mathematician Andrew Wiles proved last #Theorem of #Fermat (1993).
Birth Anniversary of #French #Philosopher Jean-Paul Sartre (1905) - one of the leading figures in 20th-century French philosophy and Marxism.
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https://www.wacoca.com/anime/1847744/ Math Whiz Turns Chef?! 🔥 Fermat’s Cuisine Anime Trailer! #2025Summer #2025SummerAnime #2025年夏開始の新作アニメ #Anime #AnimeNews #cooking #DomericaStudio #DXTEEN #FermatNoRyōri #FermatNoRyōri(Fermat'sCuisine) #Fermat'sCuisine #GakuKitada #gamenews #Gaming #KaiAsakura #Kodansha #manga #OpeningTheme #OSHIKIKEIGO #otaku #Trailer #Videogames #YūgoKobayashi #アニメ #フェルマーの料理 #新作アニメ
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Happy birthday to French mathematician, physicist and philosopher Marie-Sophie Germain (1776 – 1831), known as Sophie. She taught herself mathematics using books in her father’s library and by corresponding with leading mathematicians of her day, including Lagrange, Legendre and Gauss, initially using the pseudonym Monsieur LeBlanc. 🧵1/n
#linocut #printmaking #sciart #mathart #SophieGermain #ChladniFigures #mathematician #Fermat #womenInSTEM #physicist -
Dernier #théorème de #Fermat : à l'épreuve de l' #informatique
Podcast #France #Culture ( 58 min) -
Random thought: what if Fermat was wrong? I mean that what if he *did* write out his infamous last theorem and the math was incorrect. Would we have still found his hypothesis was correct or would we have given up sooner with it just becoming a play thing every time someone got a spark of inspiration?
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One day, one decomposition
A181780: Numbers n which are Fermat pseudoprimes to some base b, 2 <= b <= n-23D graph, threejs - webGL ➡️ https://decompwlj.com/3Dgraph/A181780.html
2D graph, first 500 terms ➡️ https://decompwlj.com/2Dgraph500terms/A181780.html#decompwlj #math #mathematics #sequence #OEIS #javascript #php #3D #numbers #primes #PrimeNumbers #Fermat #pseudoprimes #graph #threejs #webGL
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@Erklaerbaer
Im Ernst schau dir den Unterricht an der zbsp an der Schule (Gymnasium Eifel Kreis Euskirchen) unserer Kids abläuft. Da wundert es dich kaum noch, wenn die Lücken haben.
Es fehlen häufig so viele Lehrkräfte das es wundert dass der Schulbetrieb aufrecht erhalten werden kann. -
Was passiert, wenn ein Glücksspiel plötzlich endet? Diese vor 400 Jahren gestellte Frage begründete die Wahrscheinlichkeitstheorie – und ist bis heute relevant.#Fabelhaftemathematik #Mathematik #Wahrscheinlichkeit #Stochastik #Wahrscheinlichkeitstheorie #Wahrscheinlichkeitsrechnung #Pascal #Fermat
Wie zwei Mathematiker die Zukunft berechenbar machten -
"Fermat Gyroscope"
10 minute 4k 60fps version on YouTube:
https://youtu.be/YN3TafRC-Nw#Tooll3 #realtime #newmediaart #abstractart #generativeart #particles #livingpainting #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #math #opensource #Fermat #sphere
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"I have discovered a truly marvelous proof of this, which this margin is too narrow to contain."
One of the most enduring short stories of all time.
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My Fermat-Spiral point generator again, this time I'm animating first sBias between 0 and 1 and then sGain while also animating the step angle offset...
Simple Nerd Fun for a Saturday 🥳
#Tooll3 #realtime #generativeart #particles #creativecoding #hlsl #gpu #shader #generative #procedural #visualart #Zen #wuwei #dao #Fermat #sunflowerseeds #Schlick #Bias #Gain #mastoart
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Für eine gute mathematische Idee muss man nicht Mathematik studieren. Will man aber beweisen, dass die Idee richtig ist, braucht man viel Wissen – oder man versucht es mit Geld.#Zahlentheorie #Freistetter #Freistettersformelwelt #Mathematik #Zahlen #Primzahlen #Fermat
Milliardär und Trump-Anhänger inspiriert die Zahlentheorie -
In Toulouse kwam ik dit standbeeld van wiskundige #Fermat tegen.
Ik snap wel waarom hij even geen tijd had om het bewijs van zijn Laatste Stelling helemaal op te schrijven en er alleen even een opmerking in de kantlijn over schreef 😉
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In 1654, letters between Blaise Pascal and Pierre de Fermat established the basis of probability theory. #Poetry #Science #History #Mathematics #ProbabilityTheory #Pascal #Fermat (https://sharpgiving.com/thebookofscience/items/p1654.html)
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In 1654, letters between Blaise Pascal and Pierre de Fermat established the basis of probability theory. #Poetry #Science #History #Mathematics #ProbabilityTheory #Pascal #Fermat (https://sharpgiving.com/thebookofscience/items/p1654.html)
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Für eine gute mathematische Idee muss man nicht Mathematik studieren. Will man aber beweisen, dass die Idee richtig ist, braucht man viel Wissen – oder man versucht es mit Geld.#Zahlentheorie #Freistetter #Freistettersformelwelt #Mathematik #Zahlen #Primzahlen #Fermat
Milliardär und Trump-Anhänger inspiriert die Zahlentheorie -
Für eine gute mathematische Idee muss man nicht Mathematik studieren. Will man aber beweisen, dass die Idee richtig ist, braucht man viel Wissen – oder man versucht es mit Geld.#Zahlentheorie #Freistetter #Freistettersformelwelt #Mathematik #Zahlen #Primzahlen #Fermat
Milliardär und Trump-Anhänger inspiriert die Zahlentheorie -
Für eine gute mathematische Idee muss man nicht Mathematik studieren. Will man aber beweisen, dass die Idee richtig ist, braucht man viel Wissen – oder man versucht es mit Geld.#Zahlentheorie #Freistetter #Freistettersformelwelt #Mathematik #Zahlen #Primzahlen #Fermat
Milliardär und Trump-Anhänger inspiriert die Zahlentheorie -
Für eine gute mathematische Idee muss man nicht Mathematik studieren. Will man aber beweisen, dass die Idee richtig ist, braucht man viel Wissen – oder man versucht es mit Geld.#Zahlentheorie #Freistetter #Freistettersformelwelt #Mathematik #Zahlen #Primzahlen #Fermat
Milliardär und Trump-Anhänger inspiriert die Zahlentheorie -
An Weihnachten schilderte Fermat einem Kollegen eine spannende Beobachtung über Primzahlen. Ein einfacher Beweis ließ aber fast 400 Jahre auf sich warten.#Primzahlen #FabelhafteMathematik #Mathematik #Zahlentheorie #Fermat #Weihnachtstheorem #Weihnachten #Geometrie
Die fabelhafte Welt der Mathematik: Ein Theorem rund um Weihnachten, Windmühlen und Primzahlen -
Wer in der Mathematik eine Vermutung hat, hat meist mehr als nur eine vage Ahnung. Falsch liegen kann man aber trotzdem.
Freistetters Formelwelt: Auch durch Fehler kann man die Mathematik voranbringen
#Fermat #Primzahlen #Zahlentheorie #Freistetter #FreistettersFormelwelt #Mathematik -
@jbz
But it *was* solved - doesn't that make it not the hardest problem?
Or does hardness refer to how long it took (357 years)?
In which case surely Trisecting an Angle was considerably harder as it took 1500 years.(?)
Also, that woman pronounces "Pythagorean" really weirdly.
:-)
#maths #problems #Fermat #Galois #math #pedantic #JustSaying
