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Paysages Mathématiques

@paysmaths.bsky.social

Une citation mathématique chaque jour & quelques actualités mathématiques. A mathematical quote every day & some mathematical news. Site : https://paysmaths.net #mathématiques #mathematics #maths #math

278 Followers  |  65 Following  |  1,791 Posts  |  Joined: 18.01.2025  |  1.8133

Latest posts by paysmaths.bsky.social on Bluesky

Portrait photographique de Yuri Manin, et une citation : "Les mathématiques associent de nouvelles images mentales à [des] abstractions physiques ; ces images sont presque tangibles pour l'esprit entraîné, mais elles sont très éloignées de celles qui sont données directement par la vie et l'expérience physique."

Portrait photographique de Yuri Manin, et une citation : "Les mathématiques associent de nouvelles images mentales à [des] abstractions physiques ; ces images sont presque tangibles pour l'esprit entraîné, mais elles sont très éloignées de celles qui sont données directement par la vie et l'expérience physique."

"Les mathématiques associent de nouvelles images mentales à [des] abstractions physiques ; ces images sont presque tangibles pour l'esprit entraîné, mais elles sont très éloignées de celles qui sont données directement [...]" – Yuri Manin (1937–2023)
#citation #mathématiques #maths #math

16.02.2026 17:03 — 👍 0    🔁 0    💬 0    📌 0
Photographic portrait of Yuri Manin, and a quote : "Mathematics associates new mental images with [...] physical abstractions; these images are almost tangible to the trained mind but are far removed from those that are given directly by life and physical experience."

Photographic portrait of Yuri Manin, and a quote : "Mathematics associates new mental images with [...] physical abstractions; these images are almost tangible to the trained mind but are far removed from those that are given directly by life and physical experience."

"Mathematics associates new mental images with [...] physical abstractions; these images are almost tangible to the trained mind but are far removed from those that are given directly by life and physical experience." – Yuri Manin (1937–2023)
#quote #mathematics #maths #math

16.02.2026 17:02 — 👍 0    🔁 0    💬 0    📌 0
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The mathematical mystery inside the legendary ’90s shooter Quake 3 Deep within the source code of this online multiplayer game lies an enigmatic number that puzzles and inspires experts to this day

The mathematical mystery inside the legendary ’90s shooter Quake 3
Source : Scientific American / Manon Bischoff
buff.ly/k3hzf9S
#mathematics #math #maths @sciam.bsky.social

16.02.2026 12:47 — 👍 2    🔁 0    💬 0    📌 0
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First Proof is AI's toughest math test yet. The results are mixed Experts gave AI 10 math problems to solve in a week. OpenAI, researchers and amateurs all gave it their best shot

AI just got its toughest math test yet. The results are mixed
Source : Scientific American / Joseph Howlett
bit.ly/40cSaYg
#mathematics #math #maths #AI @sciam.bsky.social

16.02.2026 12:46 — 👍 0    🔁 0    💬 0    📌 0
Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Sophie Germain’s Identity : The expression x^4 + 4y^4 factorises as x^4 + 4y^4 = ((x + y)^2 + y^2) ((x − y)^2 + y^2) = (x^2 + 2xy + 2y^2) (x^2 − 2xy + 2y^2) .

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Sophie Germain’s Identity : The expression x^4 + 4y^4 factorises as x^4 + 4y^4 = ((x + y)^2 + y^2) ((x − y)^2 + y^2) = (x^2 + 2xy + 2y^2) (x^2 − 2xy + 2y^2) .

Theorem of the Day (February 16, 2026) : Sophie Germain’s Identity
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/ExEVtgz
notes : buff.ly/cU3iVXZ
#mathematics #maths #math #theorem

16.02.2026 11:01 — 👍 1    🔁 0    💬 0    📌 0
Yuri Manin — Wikipédia Pour les articles homonymes, voir Manin (homonymie).

16 février 1937 : #CeJourLà naissance de Yuri Manin (†7/1/2023), mathématicien russe dont les travaux portent sur la géométrie, la logique et la physique théorique. Il fait partie des premières personnes ayant eu l'idée d'un ordinateur quantique.
buff.ly/RFxd9iy
#mathématiques #maths #math

16.02.2026 06:00 — 👍 1    🔁 0    💬 0    📌 0
Photographic portrait of Cassius Jackson Keyser, and a quote : "The great notion of Group [has become] a concept of fundamental importance and prodigious fertility, not only affording the basis of an imposing doctrine – The Theory of Groups – but therewith serving also as a bond of union, a kind of connective tissue, or rather as an immense cerebrospinal system, uniting together a large number of widely dissimilar doctrines as organs of a simple body."

Photographic portrait of Cassius Jackson Keyser, and a quote : "The great notion of Group [has become] a concept of fundamental importance and prodigious fertility, not only affording the basis of an imposing doctrine – The Theory of Groups – but therewith serving also as a bond of union, a kind of connective tissue, or rather as an immense cerebrospinal system, uniting together a large number of widely dissimilar doctrines as organs of a simple body."

"The great notion of Group [has become] a concept of fundamental importance and prodigious fertility, not only affording the basis of an imposing doctrine – The Theory of Groups [...]." – Cassius Jackson Keyser (1862-1947)
#quote #mathematics #maths #math #group

15.02.2026 17:02 — 👍 0    🔁 0    💬 0    📌 0
Portrait photographique de Cassius Jackson Keyser, et une citation : "La formidable notion de Groupe [est devenue] un concept d'une importance fondamentale et d'une prodigieuse fécondité, fournissant non seulement la base d'une doctrine imposante – la Théorie des Groupes – mais servant aussi de trait d'union, comme une sorte de tissu conjonctif, ou plutôt comme un immense système cérébrospinal, réunissant un grand nombre de doctrines largement dissemblables comme des organes d'un corps simple."

Portrait photographique de Cassius Jackson Keyser, et une citation : "La formidable notion de Groupe [est devenue] un concept d'une importance fondamentale et d'une prodigieuse fécondité, fournissant non seulement la base d'une doctrine imposante – la Théorie des Groupes – mais servant aussi de trait d'union, comme une sorte de tissu conjonctif, ou plutôt comme un immense système cérébrospinal, réunissant un grand nombre de doctrines largement dissemblables comme des organes d'un corps simple."

"La formidable notion de Groupe [est devenue] un concept d'une importance fondamentale et d'une prodigieuse fécondité, fournissant non seulement la base d'une doctrine imposante – la Théorie des Groupes [...]" – Cassius Jackson Keyser (1862-1947)
#citation #mathématiques #maths #math #groupe

15.02.2026 17:01 — 👍 0    🔁 0    💬 0    📌 0
Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Law of Large Numbers : Consider an event A which, in a sequence of independent trials, occurs with probabilities of occurrence pi, i = 1, 2, . . .. Let Pn denote the mean of the first n probabilities, (1/n) ∑_(i=1)^n pi, and let Rn denote the relative frequency of occurrence of A in the first n trials, i.e. (1/n)×(number of times that A occurs). Then, for any ε > 0, as n → ∞, P(|Rn − Pn| < ε) → 1.

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Law of Large Numbers : Consider an event A which, in a sequence of independent trials, occurs with probabilities of occurrence pi, i = 1, 2, . . .. Let Pn denote the mean of the first n probabilities, (1/n) ∑_(i=1)^n pi, and let Rn denote the relative frequency of occurrence of A in the first n trials, i.e. (1/n)×(number of times that A occurs). Then, for any ε > 0, as n → ∞, P(|Rn − Pn| < ε) → 1.

Theorem of the Day (February 15, 2026) : The Law of Large Numbers
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/wyv3i7a
notes : buff.ly/nbe4ZX5

#mathematics #maths #math #theorem

15.02.2026 11:00 — 👍 0    🔁 0    💬 0    📌 0
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Alfred North Whitehead — Wikipédia Vous lisez un « article de qualité » labellisé en 2016.

15 février 1861 : #CeJourLà naissance de Alfred North Whitehead (†30/12/1947), mathématicien, logicien et philosophe britannique, dont les travaux sur les fondements des mathématiques sont majeurs (publication avec B. Russell des "Principia Mathematica").
buff.ly/ObM5rUW
#mathématiques #maths #math

15.02.2026 06:00 — 👍 0    🔁 1    💬 0    📌 0
Photographic portrait of Bertrand Russell, and a quote : "Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform."

Photographic portrait of Bertrand Russell, and a quote : "Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform."

"Mathematics takes us still further from what is human, into the region of absolute necessity, to which not only the world, but every possible world, must conform." – Bertrand Russell (1872-1970)
#quote #mathematics #maths #math

14.02.2026 17:02 — 👍 0    🔁 0    💬 0    📌 0
Portrait photographique de Bertrand Russell, et une citation : "Les mathématiques nous emmènent encore plus loin de ce qui est humain, dans la région de l'absolue nécessité, à laquelle non seulement le monde, mais tous les mondes possibles, doivent se conformer."

Portrait photographique de Bertrand Russell, et une citation : "Les mathématiques nous emmènent encore plus loin de ce qui est humain, dans la région de l'absolue nécessité, à laquelle non seulement le monde, mais tous les mondes possibles, doivent se conformer."

"Les mathématiques nous emmènent encore plus loin de ce qui est humain, dans la région de l'absolue nécessité, à laquelle non seulement le monde, mais tous les mondes possibles, doivent se conformer." – Bertrand Russell (1872-1970)
#citation #mathématiques #maths #math

14.02.2026 17:02 — 👍 0    🔁 0    💬 0    📌 0
Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Total Probability Theorem : Suppose a sample space S is partitioned into n non-empty parts B1, B2, . . . , Bn, n ≥ 1. Then, for any event A, P(A) = ∑ P(A ∩ Bi) = ∑ P(A|Bi)P(Bi).

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Total Probability Theorem : Suppose a sample space S is partitioned into n non-empty parts B1, B2, . . . , Bn, n ≥ 1. Then, for any event A, P(A) = ∑ P(A ∩ Bi) = ∑ P(A|Bi)P(Bi).

Theorem of the Day (February 14, 2026) : The Total Probability Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/MKHZwMC
notes : buff.ly/Ph51ove

#mathematics #maths #math #theorem

14.02.2026 11:00 — 👍 1    🔁 0    💬 0    📌 0
First page of 'Paperclip graphs', available at https://mathweb.ucsd.edu/~ronspubs/pre_paperclip.pdf. Figure 1 depicts a magic trick that starts by "Putting two paperclips on a strip of paper shaped as an S curve."

First page of 'Paperclip graphs', available at https://mathweb.ucsd.edu/~ronspubs/pre_paperclip.pdf. Figure 1 depicts a magic trick that starts by "Putting two paperclips on a strip of paper shaped as an S curve."

Figure 4: From a strip with paperclips to sets of nonintersecting arcs. (a) Strip with paperclips. (b) Starting to pull apart. (c) Making the strip taut.

Figure 4: From a strip with paperclips to sets of nonintersecting arcs. (a) Strip with paperclips. (b) Starting to pull apart. (c) Making the strip taut.

Figure 5: Going from a set of arcs to a strip with paperclips. Figure 6: Circular representation for arc configurations.

Figure 5: Going from a set of arcs to a strip with paperclips. Figure 6: Circular representation for arc configurations.

Work tasks today included thinking about a magic trick and Catalan numbers at the same time — living the dream!

12.02.2026 23:27 — 👍 43    🔁 9    💬 6    📌 1
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Hermann Hankel — Wikipédia modifier - modifier le code - modifier Wikidata

14 février 1839 : #CeJourLà naissance de Hermann Hankel (†29/8/1873), mathématicien allemand dont les travaux portent notamment sur l'analyse complexe et les fonctions de Bessel (cf. transformation de Hankel et fonctions de Hankel).
buff.ly/oo651gY
#mathématiques #maths #math

14.02.2026 06:00 — 👍 1    🔁 0    💬 0    📌 0
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Edmund Landau — Wikipédia Pour les articles homonymes, voir Landau.

14 février 1877 : #CeJourLà naissance de Edmund Landau (†19/2/1938), mathématicien allemand connu pour les notations qui portent son nom, dont les travaux portent notamment sur la théorie des nombres et l'analyse complexe.
buff.ly/ad34fJv
#mathématiques #maths #math

14.02.2026 06:00 — 👍 1    🔁 0    💬 0    📌 0
Portrait de Benjamin Franklin, et une citation : "Les démonstrations mathématiques sont une logique aussi utile, sinon plus, que celle communément apprise à l'école, servant à une juste formation de l'esprit, accroissant ses capacités et le renforçant de manière à le rendre capable de raisonner avec exactitude et de discerner le vrai du faux en toute circonstance, même sur des sujets non mathématiques."

Portrait de Benjamin Franklin, et une citation : "Les démonstrations mathématiques sont une logique aussi utile, sinon plus, que celle communément apprise à l'école, servant à une juste formation de l'esprit, accroissant ses capacités et le renforçant de manière à le rendre capable de raisonner avec exactitude et de discerner le vrai du faux en toute circonstance, même sur des sujets non mathématiques."

"Les démonstrations mathématiques sont une logique aussi utile, sinon plus, que celle communément apprise à l'école, servant à une juste formation de l'esprit, accroissant ses capacités et le renforçant [...]" – Benjamin Franklin (1706-1790)
#citation #mathématiques #maths #math

13.02.2026 17:04 — 👍 0    🔁 0    💬 0    📌 0
Portrait of Benjamin Franklin, and a quote : "Mathematical demonstrations are a logic of as much or more use, than that commonly learned at schools, serving to a just formation of the mind, enlarging its capacity, and strengthening it so as to render the same capable of exact reasoning, and discerning truth from falsehood in all occurrences, even subjects not mathematical."

Portrait of Benjamin Franklin, and a quote : "Mathematical demonstrations are a logic of as much or more use, than that commonly learned at schools, serving to a just formation of the mind, enlarging its capacity, and strengthening it so as to render the same capable of exact reasoning, and discerning truth from falsehood in all occurrences, even subjects not mathematical."

"Mathematical demonstrations are a logic of as much or more use, than that commonly learned at schools, serving to a just formation of the mind, enlarging its capacity, and strengthening it [...]" – Benjamin Franklin (1706-1790)
#quote #mathematics #maths #math

13.02.2026 17:02 — 👍 0    🔁 0    💬 0    📌 0
Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Ore’s Theorem in Graph Theory : Let G be a simple connected graph with n vertices, 3 ≤ n. Suppose that for any pair of nonadjacent vertices their degrees total at least n. Then G has a Hamilton cycle.

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Ore’s Theorem in Graph Theory : Let G be a simple connected graph with n vertices, 3 ≤ n. Suppose that for any pair of nonadjacent vertices their degrees total at least n. Then G has a Hamilton cycle.

Theorem of the Day (February 13, 2026) : Ore’s Theorem in Graph Theory
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/J6fEY1u
notes : buff.ly/C3LMzqi

#mathematics #maths #math #theorem

13.02.2026 11:00 — 👍 0    🔁 0    💬 0    📌 0
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Gemini Deep Think: Redefining the Future of Scientific Research Gemini Deep Think is accelerating discovery in maths, physics, and computer science by acting as a powerful scientific companion for researchers.

Accelerating Mathematical and Scientific Discovery with Gemini Deep Think
Source : Google DeepMind / Thang Luong, Vahab Mirrokni

deepmind.google/blog/acceler...
#mathematics #math #maths #AI

13.02.2026 10:57 — 👍 0    🔁 0    💬 0    📌 0
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AI uncovers solutions to Erdős problems, moving closer to transforming math LLMs have recently helped find solutions to a number of minor longstanding problems. But a new plan called First Proof is really putting them to the test

Is AI on the precipice of revolutionizing math? It depends
Source : Scientific American / Joseph Howlett

buff.ly/Mfg3I4P
#mathematics #math #maths #AI @sciam.bsky.social

13.02.2026 10:53 — 👍 0    🔁 0    💬 0    📌 0
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Johann Peter Gustav Lejeune Dirichlet — Wikipédia Pour les articles homonymes, voir Dirichlet (homonymie).

13 février 1805: #CeJourLà naissance de Peter Gustav Lejeune Dirichlet (†5/5/1859), mathématicien allemand ayant contribué à la théorie des nombres (création de la th. analytique des nombres) et à la th. des séries de Fourier (cf. théorème de Dirichlet).
buff.ly/LBbt18s
#mathématiques #maths #math

13.02.2026 06:00 — 👍 0    🔁 0    💬 0    📌 0
Portrait photographique d'Eugenia Cheng, et une citation : "Les mathématiques, c'est l'étude de tout ce qui obéit aux règles de la logique, en utilisant les règles de la logique."

Portrait photographique d'Eugenia Cheng, et une citation : "Les mathématiques, c'est l'étude de tout ce qui obéit aux règles de la logique, en utilisant les règles de la logique."

"Les mathématiques, c'est l'étude de tout ce qui obéit aux règles de la logique, en utilisant les règles de la logique." – Eugenia Cheng
#citation #mathématiques #maths #math #logique

12.02.2026 17:05 — 👍 0    🔁 0    💬 0    📌 0
Photographic portrait of Eugenia Cheng, and a quote : "Mathematics is the study of anything that obeys the rules of logic, using the rules of logic."

Photographic portrait of Eugenia Cheng, and a quote : "Mathematics is the study of anything that obeys the rules of logic, using the rules of logic."

"Mathematics is the study of anything that obeys the rules of logic, using the rules of logic." – Eugenia Cheng
#quote #mathematics #maths #math #logic

12.02.2026 17:03 — 👍 0    🔁 0    💬 0    📌 0
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Prix de thèse de l'Amies 2025 | Margaux Zaffran : prévoir les prix de l’électricité grâce aux #mathématiques 💡

Découvrez l'interview de la lauréate, actuellement post-doctorante au Laboratoire de mathématiques d'Orsay 👉 www.insmi.cnrs.fr/fr/cnrsinfo/...

12.02.2026 11:01 — 👍 3    🔁 2    💬 0    📌 0
Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Zeckendorf’s Theorem : Every positive integer may be represented in a unique way as a sum of distinct non-consecutive Fibonacci numbers. More precisely, given the sequence of distinct Fibonacci numbers: F1 = 1, F2 = 2 and, for k ≥ 3, F_k = F_(k−1) + F_(k−2), and given any positive integer N, there is a unique, finite binary string b_1 b_2 . . . b_t, t ≥ 1, having no consecutive ones, such that N = ∑_(i=1)^t b_i F_i.

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Zeckendorf’s Theorem : Every positive integer may be represented in a unique way as a sum of distinct non-consecutive Fibonacci numbers. More precisely, given the sequence of distinct Fibonacci numbers: F1 = 1, F2 = 2 and, for k ≥ 3, F_k = F_(k−1) + F_(k−2), and given any positive integer N, there is a unique, finite binary string b_1 b_2 . . . b_t, t ≥ 1, having no consecutive ones, such that N = ∑_(i=1)^t b_i F_i.

Theorem of the Day (February 12, 2026) : Zeckendorf’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/t8EBAKR
notes : buff.ly/R5eKaKE

#mathematics #maths #math #theorem

12.02.2026 11:00 — 👍 0    🔁 0    💬 0    📌 0
Francis Su, "100 Years of Sperner's Lemma: Proofs, Generalizations, and Applications"
Francis Su, Harvey Mudd College, gives the PME J. Sutherland Frame Lecture at the 2026 Joint Mathematics Meetings. This talk is entitled "100 Years of Sperner's Lemma: Proofs, Generalizations, and… Francis Su, "100 Years of Sperner's Lemma: Proofs, Generalizations, and Applications"

100 Years of Sperner's Lemma: Proofs, Generalizations, and Applications
Source : Youtube / Joint Mathematics Meetings / Francis Su

www.youtube.com/watch?v=dPXZ...
#mathématiques #maths #math #Youtube

12.02.2026 10:41 — 👍 1    🔁 0    💬 0    📌 0
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Double Maths First Thing: Issue 4B Double Maths First Thing still has PRE earworms Hello! My name is Colin and I am a mathematician on a mission to spread the joy and delight that comes from engaging whole-heartedly with maths. I…

Double Maths First Thing: Issue 4B
Source : The Aperiodical / Colin Beveridge

aperiodical.com/2026/02/doub...
#mathematics #maths #math

12.02.2026 10:40 — 👍 0    🔁 0    💬 0    📌 0
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Carnival of Mathematics 248 Welcome to Carnival of Mathematics issue 248! Before we dive into our assortment of monthly maths, let’s talk about the number 248. Its digits are 21,222^1, 2^2 and 232^3. There doesn’t seem to be …

Carnival of Maths 248
Source : The Aperiodical / Letters and Words

lettersandwords.co.uk/2026/02/06/c...
#mathematics #maths #math

12.02.2026 10:39 — 👍 0    🔁 0    💬 0    📌 0
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C'est l'occasion de me rappeler la journée que j'avais (co-)organisée à l'occasion de son centième anniversaire

12.02.2026 07:46 — 👍 1    🔁 1    💬 1    📌 0

@paysmaths is following 19 prominent accounts