- existence theorem
-
Math.any theorem that asserts the existence of some specified mathematical object.[1895-1900]
* * *
Universalium. 2010.
existence theorem
Look at other dictionaries:
Existence theorem — In mathematics, an existence theorem is a theorem with a statement beginning there exist(s) .. , or more generally for all x, y, ... there exist(s) ... . That is, in more formal terms of symbolic logic, it is a theorem with a statement involving… … Wikipedia
existence theorem — Math. any theorem that asserts the existence of some specified mathematical object. [1895 1900] … Useful english dictionary
Peano existence theorem — In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy Peano theorem, named after Giuseppe Peano and Augustin Louis Cauchy, is a fundamental theorem which guarantees the… … Wikipedia
Takagi existence theorem — In class field theory, the Takagi existence theorem states that for any number field K there is a one to one inclusion reversing correspondence between the finite abelian extensions of K (in a fixed algebraic closure of K ) and the generalized… … Wikipedia
Existence — For other uses, see Existence (disambiguation). Philosophy … Wikipedia
Theorem — The Pythagorean theorem has at least 370 known proofs[1] In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements … Wikipedia
Picard–Lindelöf theorem — In mathematics, in the study of differential equations, the Picard–Lindelöf theorem, Picard s existence theorem or Cauchy–Lipschitz theorem is an important theorem on existence and uniqueness of solutions to certain initial value problems.The… … Wikipedia
Mountain pass theorem — The mountain pass theorem is an existence theorem from the calculus of variations. Given certain conditions on a function, the theorem demonstrates the existence of a saddle point. The theorem is unusual in that there are many other theorems… … Wikipedia
Nash embedding theorem — The Nash embedding theorems (or imbedding theorems), named after John Forbes Nash, state that every Riemannian manifold can be isometrically embedded into some Euclidean space. Isometric means preserving the length of every path. For instance,… … Wikipedia
Wold's theorem — This article is about the theorem as used in time series analysis. For an abstract mathematical statement, see Wold decomposition. In statistics, Wold s decomposition or the Wold representation theorem (not to be confused with the Wold theorem… … Wikipedia
