theorem
in mathematics, a statement that has been proved
Moran's theorem
in mathematical ecology, the theorem that the time correlation of two separate populations of the same species equals the correlation between the environmental variabilities where they live
proof of impossibility
result demonstrating that a particular problem cannot be solved as described in the claim, or that a particular set of problems cannot be solved in general
Musselman's theorem
About a common point of certain circles defined by an arbitrary triangle
Sylvester inequality
inequality on ranks
theorem of the three geodesics
theorem that every Riemannian manifold with the topology of a sphere has at least 3 closed geodesics
even circuit theorem
theorem that an 𝑛-vertex graph that does not have a simple cycle of length 2𝑘 can only have O(𝑛¹⁺¹ᐟᵏ) edges
Nakano vanishing theorem
generalizes the Kodaira vanishing theorem
portmanteau theorem
theorem about the equivalence of different characterisations of weak convergence of a sequence of measures
vertically opposite angle theorem
mathematical theorem: opposite angles between a pair of intersecting lines are always equal in angle
midpoint theorem
collinearity of the midpoints of parallel chords in a conic
Rolle's theorem
on stationary points between two equal values of a real differentiable function
Zipf's law
probability distribution
Jordan curve theorem
theorem stating that a closed curve divides the plane into two regions
addition theorem
theorem
Stirling's approximation
approximation for factorials
Lagrange inversion theorem
theorem
Shapiro inequality
inequality applying to sums of positive numbers
multinomial theorem
theorem about how to expand a power of a sum in terms of powers of the terms in that sum. It is the generalization of the binomial theorem to polynomials
median voter theorem
theorem in political science
Roy's identity
economics theorem
Arden's rule
mathematical statement about language equations
Desargues' theorem
theorem that two triangles are in perspective axially if and only if they are in perspective centrally
fluctuation theorem
theorem
parallelogram law
mathematical theorem
master theorem
method for analysis of algorithms
four-vertex theorem
theorem that every simple closed smooth curve in the plane has at least four points of locally extreme curvature
isomorphism theorem
theorems that describe the relationship between quotients, homomorphisms, and subobjects
hairy ball theorem
theorem which states that there is no nonvanishing continuous tangent vector field on even-dimensional n-spheres
Mitchell's embedding theorem
theorem
integral test for convergence
test for infinite series of monotonous terms for convergence
Barbier's theorem
theorem that every curve of constant width has perimeter π times its width
Whitney embedding theorem
theorem
Miller theorem
process of creating equivalent circuits
no-hair theorem
theorem
Freudenthal suspension theorem
establishes the concept of stabilization of homotopy groups
maximum principle
theorem that a harmonic function’s maximum can only be at the boundary of its domain
Singleton bound
upper bound in coding theory
Easton's theorem
mathematic theorem
law of total expectation
iterated expectation
hinge theorem
geometry theorem relating to triangles
Selberg trace formula
Mathematical theorem