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Cheng's eigenvalue comparison theorem (Riemannian geometry) Chern–Gauss–Bonnet theorem (differential geometry) Chevalley's structure theorem (algebraic geometry) Chevalley–Shephard–Todd theorem (finite group) Chevalley–Warning theorem (field theory) Chinese remainder theorem (number theory) Choi's theorem on completely positive maps ...
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.
Base change theorems; Beauville–Laszlo theorem; Behrend's trace formula; Belyi's theorem; Bézout's theorem; Birkhoff–Grothendieck theorem; Bogomolov–Sommese vanishing theorem; Borel fixed-point theorem; Borel's theorem
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 .
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 .
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 ...
See also: List of things named after Alfred Tarski: Mathematical logic, Geometry: Alfred Tarski: Thales's theorem: Geometry: Thales: Titius–Bode law: Astrophysics: Johann Daniel Titius and Johann Elert Bode: Torricelli's law: Physics: Evangelista Torricelli: Umov effect: Physics: Nikolay Umov: Van der Waals equation: Chemistry: Johannes ...
The names are mostly traditional, so that for example the fundamental theorem of arithmetic is basic to what would now be called number theory. [2] Some of these are classification theorems of objects which are mainly dealt with in the field.