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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 ...
It contains many important results in plane and solid geometry, algebra (books II and V), and number theory (book VII, VIII, and IX). [52] More than any specific result in the publication, it seems that the major achievement of this publication is the promotion of an axiomatic approach as a means for proving results.
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.
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 ...
Mean value theorem; Multivariate normal distribution (to do) Holomorphic functions are analytic; Pythagorean theorem; Quadratic equation; Quotient rule; Ramsey's theorem; Rao–Blackwell theorem; Rice's theorem; Rolle's theorem; Splitting lemma; squeeze theorem; Sum rule in differentiation; Sum rule in integration; Sylow theorems
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 .
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.