theorem
in mathematics, a statement that has been proved
gap theorem
theorem that there are arbitrarily large computable gaps in the hierarchy of complexity classes
Chen's theorem
mathematics theorem in number theory, which was first stated and proved by Chen Jingrun
half-angle formula
theorem
Hensel's lemma
theorem in commutative algebra
uniform boundedness principle
theorem that a pointwise bounded set of linear operators on a Banach space is uniformly bounded in operator norm
Weil conjectures
theorem
Newton's identities
relations between power sums and elementary symmetric functions
Riemann series theorem
theorem
optional stopping theorem
martingale's expected value at a stopping time equals its initial expected value
Bertrand's ballot theorem
theorem that, in an election where candidate A receives 𝑝 votes and candidate B receives 𝑞 votes (𝑝>𝑞), the probability that A will be strictly ahead of B throughout the count is (𝑝−𝑞)/(𝑝+𝑞)
intersecting chords theorem
relates the four line segments created by two intersecting chords within a circle
Noisy-channel coding theorem
limit on data transfer rate
fundamental lemma of calculus of variations
initial result in using test functions to find extremum
spherical law of cosines
relation between the sides and angles of spherical triangles
spherical law of cosines
relation between the sides and angles of spherical triangles
Excision theorem
mathematical theorem
Steinhaus theorem
mathematical theorem in real analysis
Hilbert projection theorem
on closed convex subsets in Hilbert space
Three-gap theorem
On points on a circle placed at angles of θ, 2θ, 3θ ... from the starting point
Fourier inversion theorem
mathematical theorem on recovering a function from its Fourier transform
Edge-of-the-wedge theorem
theorem of analytic continuations
Capelli's identity
an analogue of the formula det(AB) = det(A) det(B), for matrices with noncommuting entrie
Anderson's theorem
On when a function on convex body K does not decrease if K is translated inwards
Aristarchus' inequality
inequality of acute angles and their trigonometric ratios
B-theorem
theorem that, if C is the centralizer of an involution of a finite group, then every component of C/O(C) is the image of a component of C
Calabi conjecture
conjecture about the existence of certain riemannian metrics on complex manifolds
Campbell's theorem
theorem In probability theory and statistics
cellular approximation
any continuous map between CW-complexes is homotopic to a cellular map
circle packing theorem
Theorem
Compression theorem
Mathematical theorem (computational complexity theory)
corners theorem
Mathematical theorem (arithmetic combinatorics)
Cyclic surgery theorem
theory in mathematics
time hierarchy theorem
theorem
destructive dilemma
Rule of inference of propositional logic
Dixon's identity
On finite sums of products of three binomial coefficients, and a hypergeometric sum
Feller's coin-tossing constants
mathematical constants
Fundamental theorem of asset pricing
Necessary and sufficient conditions for a market to be arbitrage free and complete
Martingale representation theorem
theorem in probability theory
Nielsen realization problem
Theorem that finite subgroups of mapping class groups can act on surfaces