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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 ...
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
Deligne's theorems completed around 15 years of work on the general case. 1975: Henryk Hecht and Wilfried Schmid: Blattner's conjecture: representation theory for semisimple groups: 1975: William Haboush: Mumford conjecture: geometric invariant theory: Haboush's theorem: 1976: Kenneth Appel and Wolfgang Haken: Four color theorem: graph colouring
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.
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. Here, is taken to have the value
Pages in category "Theorems in number theory" The following 106 pages are in this category, out of 106 total. This list may not reflect recent changes. 0–9.
Axiom of Archimedes (real number); Axiom of countability (); Dirac–von Neumann axioms; Fundamental axiom of analysis (real analysis); Gluing axiom (sheaf theory); Haag–Kastler axioms (quantum field theory)
Almgren–Pitts min-max theory; Approximation theory; Arakelov theory; Asymptotic theory; Automata theory; Bass–Serre theory; Bifurcation theory; Braid theory