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This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures; List of data structures; List of derivatives and integrals in alternative calculi; List of equations; List of fundamental theorems; List of hypotheses; List of inequalities; Lists of ...
The following list is meant to serve as a repository for compiling a list of such ideas. The idea of the Pythagoreans that all numbers can be expressed as a ratio of two whole numbers . This was disproved by one of Pythagoras ' own disciples, Hippasus , who showed that the square root of two is what we today call an irrational number .
Cartan's theorems A and B; Cayley–Bacharach theorem; Chasles–Cayley–Brill formula; Chasles' theorem (geometry) Chevalley–Iwahori–Nagata theorem; Chevalley's structure theorem; Chow's lemma; Chow's moving lemma; Clifford's theorem on special divisors
Yuri Manin (1937–2023) – algebraic geometry and diophantine geometry; Vladimir Arnold (1937–2010) – algebraic geometry; Ernest Vinberg (1937–2020) J. H. Conway (1937–2020) – sphere packing, recreational geometry; Robin Hartshorne (1938–) – geometry, algebraic geometry; Phillip Griffiths (1938–) – algebraic geometry ...
This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms , list of theorems and list of conjectures .
Diagram of Stewart's theorem. Let a, b, c be the lengths of the sides of a triangle. Let d be the length of a cevian to the side of length a.If the cevian divides the side of length a into two segments of length m and n, with m adjacent to c and n adjacent to b, then Stewart's theorem states that + = (+).
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 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]
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