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No free lunch theorem (philosophy of mathematics) No-hair theorem ; No-trade theorem ; No wandering domain theorem (ergodic theory) Noether's theorem (Lie groups, calculus of variations, differential invariants, physics) Noether's second theorem (calculus of variations, physics)
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.
The four-color theorem was eventually proved by Kenneth Appel and Wolfgang Haken in 1976. [2] Schröder–Bernstein theorem. In 1896 Schröder published a proof sketch [3] which, however, was shown to be faulty by Alwin Reinhold Korselt in 1911 [4] (confirmed by Schröder). [5] [6] Jordan curve theorem. There has been some controversy about ...
Cayley–Hamilton theorem. The theorem was first proved in the easy special case of 2×2 matrices by Cayley, and later for the case of 4×4 matrices by Hamilton. But it was only proved in general by Frobenius in 1878. [7] Hölder's inequality. This inequality was first established by Leonard James Rogers, and published in 1888.
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 ...
In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]
Feit–Thompson theorem⇔trivially the "odd order theorem" that finite groups of odd order are solvable groups: 1968: Gerhard Ringel and John William Theodore Youngs: Heawood conjecture: graph theory: Ringel-Youngs theorem 1971: Daniel Quillen: Adams conjecture: algebraic topology: On the J-homomorphism, proposed 1963 by Frank Adams: 1973 ...
Eponymous theorems of physics (44 P) M. Theorems in mathematical physics (3 C, 11 P) N. No-go theorems (21 P) T. Theorems in general relativity (9 P)