"Heure : -100 s Sol : 0 Heure : -90 s Jour : 0 Heure : -89 s Humains : 0 Heure : -85 s"

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Generalised Hexachord Theorem : Suppose that S is a subset of the set of pitch classes comprising Zn, n even, with |S | = s; then the interval class vectors of S and its complement Zn \ S differ component-wise by |n − 2s|, except for the last component, for which the difference is |n/2 − s|.

Theorem of the Day (April 4, 2026) : The Generalised Hexachord Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/4ZpMk62
notes : buff.ly/Be5R7bb

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Stable Marriage Theorem : Suppose n women rank n men in order of preference. The men, likewise, rank the n women. Then there exists a stable marriage: a pairing of the women and men such that no pair exists who would rather be married to each other than to their assigned partners.

Theorem of the Day (April 3, 2026) : The Stable Marriage Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/iXayGHY
notes : buff.ly/5GNm3qe

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Lutz-Nagell Theorem : For the elliptic curve y^2 = x^3 + ax^2 + bx + c, with a, b, and c integers and having (non-zero) discriminant function D = −4a^3c + a^2b^2 + 18abc − 4b^3 − 27c^2, let P = (X, Y) be a rational point of finite order greater than 1. Then X and Y are integers and either Y divides D or Y = 0 and P has order 2.

Theorem of the Day (April 2, 2026) : The Lutz-Nagell Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/19raR4w
notes : buff.ly/DHFciZm

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Remainder Theorem : If a polynomial f (x) is divided by (x − α) then the remainder is f (α). Corollary (The Factor Theorem) : A polynomial f (x) has (x − α) as a factor if and only if f (α) = 0.

Theorem of the Day (April 1st, 2026) : The Remainder Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/uAMYqoX
notes : buff.ly/jERLjP2

#mathematics #maths #math #theorem

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Gruenberg’s Theorem on Nilpotent Groups : A finitely generated, torsion-free, nilpotent group is a residually finite p-group, for every prime p.

Theorem of the Day (March 31, 2026) : Gruenberg’s Theorem on Nilpotent Groups
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/bTS86bH
notes : buff.ly/iDFAbDV

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#onpeutplusrientweeter #gochoMollo #clownMaladroit #oups #rageInTheNezRouge #quotigram #theorem #proveMeWrong #truthBeWritten #universalHack #microtrottoirdesinternets #revuedepresse #excelArt #powerDot #pixelosophy #minimalist #markdownup #publicDomain #creativeCommons

"Le premier langage universel est la musique . Le deuxième c'est les émojis …"

#theorem #proveMeWrong #truthBeWritten #universalHack #excelArt #powerDot #pixelosophy #minimalist #markdownup #publicDomain #creativeCommons

 -👊- #punchline

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Pappus–Guldin Theorems : Suppose that a plane curve is rotated about an axis external to the curve. Then 1. the resulting surface area of revolution is equal to the product of the length of the curve and the displacement of its centroid; 2. in the case of a closed curve, the resulting volume of revolution is equal to the product of the plane area enclosed by the curve and the displacement of the centroid of this area.

Theorem of the Day (March 30, 2026) : The Pappus–Guldin Theorems
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/8ISqNzC
notes : buff.ly/3k7Culi

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Theorema Egregium : The Gaussian curvature of surfaces is preserved by local isometries.

Theorem of the Day (March 29, 2026) : Theorema Egregium
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/aVKxsrq
notes : buff.ly/GMAtTWJ

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Euler’s Formula : For any real or complex value of θ, e^(iθ) = cos θ + i sin θ.

Theorem of the Day (March 28, 2026) : Euler’s Formula
Source : Theorem of the Day / Robin Whitty
pdf : www.theoremoftheday.org/GeometryAndT...
notes : www.theoremoftheday.org/Resources/Th...

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Wallis’s Product : The value of τ/4 (τ = 2π) is given by the infinite product ∏_(k=1)^∞ (2k)^2 / ((2k − 1)(2k + 1)) = 2^2/(1.3). 4^2/(3.5). 6^2/(5.7) . . . .

Theorem of the Day (March 27, 2026) : Wallis’s Product
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/aWrmwXu
notes : buff.ly/80A3S1G

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. 1-Factorisation of Regular Graphs : There exists a constant, c, such that all simple d-regular graphs of even order, n, with cn ≤ d, have a 1-factorisation.

Theorem of the Day (March 26, 2026) : 1-Factorisation of Regular Graphs
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/ZdbcnNG
notes : buff.ly/Lz8ToDb

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Bondy’s Subset Theorem : Let S be a set with n elements and suppose that n distinct subsets of S are chosen. Then there is a restriction to n − 1 elements of S under which these subsets remain distinct.

Theorem of the Day (March 25, 2026) : Bondy’s Subset Theorem
Source : Theorem of the Day / Robin Whitty
pdf : www.theoremoftheday.org/InformationT...
notes : www.theoremoftheday.org/Resources/Th...

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Girard–Newton Identities : For a fixed set S of variables, denote by e_k, 0 ≤ k ≤ |S |, the k-th elementary symmetric polynomial in the variables of S ; that is e_k = ∑_(X⊂S, |X|=k) ∏_(x∈X) x, with e_0 = 1. Denote by p_k the k-th power sum over S ; that is p_k = ∑_(x∈S) x^k. Then the following recurrence holds: ke_k = ∑_(i=1)^k (−1)^(i−1) p_i e_(k−i), for k ≥ 1.

Theorem of the Day (March 24, 2026) : The Girard–Newton Identities
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/LKaPQ4r
notes : buff.ly/aQ25glN

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem : The Change of Variables Theorem.

Theorem of the Day (March 23, 2026) : The Change of Variables Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/khUwmVj
notes : buff.ly/mkHciCz

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Handshaking Lemma : In any graph the sum of the vertex degrees is equal to twice the number of edges.

Theorem of the Day (March 22, 2026) : The Handshaking Lemma
Source : Theorem of the Day / Robin Whitty
pdf : www.theoremoftheday.org/Combinatoria...
notes : www.theoremoftheday.org/Resources/Th...

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem : Integration By Parts.

Theorem of the Day (March 21, 2026) : Integration By Parts
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/HRNCIC0
notes : buff.ly/d2I8Irg

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Fifteen Theorem : If a positive-definite quadratic form defined by a symmetric, integral matrix takes each of the values 1, 2, 3, 5, 6, 7, 10, 14, 15, then it takes all positive integer values.

Theorem of the Day (March 20, 2026) : The Fifteen Theorem
Source : Theorem of the Day / Robin Whitty
pdf : www.theoremoftheday.org/NumberTheory...
notes : www.theoremoftheday.org/Resources/Th...

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Basel Problem : 1 + 1 / 4 + 1 / 9 + . . . = ∑_(k=1)^∞ (1 / k^2) = τ^2 / 24.

Theorem of the Day (March 19, 2026) : The Basel Problem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/UzSCvC7
notes : buff.ly/9Ualhkz

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Euler’s Partition Identity : The number of partitions of a positive integer n into distinct parts is equal to the number of partitions of n into odd parts.

Theorem of the Day (March 18, 2026) : Euler’s Partition Identity
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/25basqG
notes : buff.ly/U0E98qn

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Tunnell’s Theorem : Let n be a square-free positive integer and denote by S_n(a, b, c) the number of solutions in integers, x, y, z, of the equation ax^2 + by^2 + cz^2 = n. Then a necessary condition for n to be a congruent number is that S_n(2, 1, 8) = 2S_n(2, 1, 32) n odd and S_n(8, 2, 16) = 2S_n(8, 2, 64) n even . Moreover, if the Birch and Swinnerton-Dyer conjecture is true then this condition is also sufficient.

Theorem of the Day (March 17, 2026) : Tunnell’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/wdAdfGc
notes : buff.ly/gv8xew2

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The Math That Explains Why Bell Curves Are Everywhere | Quanta Magazine The central limit theorem started as a bar trick for 18th-century gamblers. Now scientists rely on it every day.

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. The Three-Distance Theorem : Let α ∈ (0, 1) be irrational and let N be a positive integer. Then the set of lengths {kα | 0 ≤ k ≤ N}, measured around the unit-circumference circle, partitions the circle into N + 1 intervals, whose lengths take just two values, or three values of which one is the sum of the other two.

Theorem of the Day (March 16, 2026) : The Three-Distance Theorem
Source : Theorem of the Day / Robin Whitty
pdf : www.theoremoftheday.org/NumberTheory...
notes : www.theoremoftheday.org/Resources/Th...

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Praeger’s Theorem on Bounded Movement : Let G be a permutation group acting without fixed points on a set Ω. Denote by m the maximum size of any subset Γ ⊆ Ω whose image under some group element is disjoint from Γ; and suppose that m is finite. Then Ω is a finite set; the number t of G orbits is at most 2m − 1; each orbit has length at most 3m; and |Ω| ≤ 3m + t − 1 ≤ 5m − 2.

Theorem of the Day (March 15, 2026) : Praeger’s Theorem on Bounded Movement
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/OjxKS72
notes : buff.ly/tL31ux6

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Pick’s Theorem : Let P be a simple polygon (i.e. containing no holes or separate pieces) whose vertices lie on the points of a rectangular lattice. Suppose that I lattice points are located in the interior of P and B lattices points lie on the boundary of P. Then the area of P is given by K = I + B/2 − 1

Theorem of the Day (March 14, 2026) : Pick’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/IlPfcat
notes : buff.ly/R1AjXKZ

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Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. De Moivre’s Theorem : Let θ be an angle and n a positive integer. Then (cos θ + i sin θ)^n = cos nθ + i sin nθ.

Theorem of the Day (March 13, 2026) : De Moivre’s Theorem
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/ADn1ujE
notes : buff.ly/hKorjqZ

#mathematics #maths #math #theorem

Comprehensive presentation of the "Theorem of the Day", starting with a statement of this theorem. Countability of the Rationals : There is a one-to-one correspondence between the set of positive integers and the set of positive rational numbers.

Theorem of the Day (March 12, 2026) : Countability of the Rationals
Source : Theorem of the Day / Robin Whitty
pdf : buff.ly/e4IJiYa
notes : buff.ly/fqDjJbQ

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