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This is a list of notable theorems. Lists of theorems and similar statements include: ... Base change theorems (algebraic geometry) Basel problem (mathematical analysis)
Pages in category "Theorems in geometry" The following 47 pages are in this category, out of 47 total. This list may not reflect recent changes. 0–9. 2π theorem; A.
Pages in category "Theorems in algebraic geometry" The following 98 pages are in this category, out of 98 total. This list may not reflect recent changes. A.
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 .
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.
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 .
2 Articles devoted to theorems of which a (sketch of a) proof is given 3 Articles devoted to algorithms in which their correctness is proved 4 Articles where example statements are proved
There are also a number of "fundamental theorems" that are not directly related to mathematics: Fundamental theorem of arbitrage-free pricing; Fisher's fundamental theorem of natural selection; Fundamental theorems of welfare economics; Fundamental equations of thermodynamics; Fundamental theorem of poker
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