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Template: Math proof. 15 languages. ... {Math theorem This page was last edited on 16 August 2023, at 18:00 (UTC). Text is available ...
Format a statement of mathematical theorem or conjecture in box Template parameters [Edit template data] This template prefers block formatting of parameters. Parameter Description Type Status math_statement math_statement 1 Mathematical statement String required name name 2 Name of theorem or Proposition, Conjecture etc Default Theorem Example Claim Line optional note note Note about theorem ...
But I think such a template should be distinct from the current math_theorem template since the style is different (and we shouldn’t change the style). I personally don’t like to put a proof in a box since I like the proof to be a part of the text, like in typical math texts, but others would disagree.
Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first incompleteness theorem; Gödel's second incompleteness theorem; Goodstein's theorem; Green's theorem (to do) Green's theorem when D is a simple region; Heine–Borel ...
The Nyquist–Shannon sampling theorem is an essential principle for digital signal processing linking the frequency range of a signal and the sample rate required to avoid a type of distortion called aliasing. The theorem states that the sample rate must be at least twice the bandwidth of the signal to avoid aliasing.
The Pythagorean theorem has at least 370 known proofs. [1]In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. [a] [2] [3] The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.
In proof by exhaustion, the conclusion is established by dividing it into a finite number of cases and proving each one separately. The number of cases sometimes can become very large. For example, the first proof of the four color theorem was a proof by exhaustion with 1,936 cases. This proof was controversial because the majority of the cases ...
Kirby–Paris theorem (proof theory) Kirchberger's theorem (discrete geometry) Kirchhoff's theorem (graph theory) Kirszbraun theorem (Lipschitz continuity) Kleene fixed-point theorem (order theory) Kleene's recursion theorem (recursion theory) Knaster–Tarski theorem (order theory) Kneser's theorem (combinatorics) Kneser's theorem ...