theorem
in mathematics, a statement that has been proved
Transport theorem
concept in mathematics
eyeball theorem
statement in elementary geometry
Pythagorean theorem
relation in Euclidean geometry among the three sides of a right triangle
relationship among probability distributions
related to probability theory and statistics
superposition theorem
theorem in electrical physics providing a relationship between voltages of branches of a bilateral linear circuit
De Morgan's laws
pair of transformation rules that are both valid rules of inference
Abel's binomial theorem
theorem
odd number theorem
theorem in strong gravitational lensing stating that the number of multiple images produced by a bounded transparent lens must be odd
Abel's identity
equation that expresses the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation
summation by parts
theorem to simplify sums of products of sequences
Abel's theorem
theorem
divergence theorem
generalization of the fundamental theorem in vector calculus
Abel's test
convergence test
identity
equation that is satisfied for all values of the variables
isoperimetric inequality
geometric inequality which sets a lower bound on the surface area of a set given its volume
Brun's theorem
theorem that the sum of the reciprocals of the twin primes converges
implicit function theorem
theorem that, under a mild condition on the partial derivatives, the set of zeros of a system of equations is locally the graph of a function
Wick's theorem
theorem transforming derivatives into combinatorics problems applied in quantum field theory
CAP theorem
need to sacrifice consistency or availability in the presence of network partitions
Mahler's inequality
inequality relating geometric mean of two finite sequences of positive numbers to the sum of each separate geometric mean
Riemann mapping theorem
theorem
open mapping theorem
Theorem that surjective continuous operators on Banach spaces are open maps
Cauchy condensation test
Standard convergence test for infinite series
Jung's theorem
theorem relating the diameter of a point set to the minimum radius of an enclosing ball
Taylor's theorem
approximation of a function by a truncated power series
Carnot's theorem
gives the sum of the distances from the circumcenter to the sides of an arbitrary triangle
Goodstein's theorem
theorem
absorption law
theorem
Richardson's theorem
theorem
Burnside's lemma
lemma stating that, given a finite group G acting on a set, the number of orbits times |G| equals the sum (over every element of G) of the numbers of fixed points
argument principle
mathematical relationship
Gelfand representation
mathematical representation in functional analysis
Lochs' theorem
theorem
summation index shift
mathematical method to simplify a sum
Mercer's theorem
theorem
Pythagorean trigonometric identity
sin² θ + cos² θ = 1
universal coefficient theorem
Establish relationships between homology and cohomology theories
universal coefficient theorem
Establish relationships between homology and cohomology theories
Wold's theorem
theorem of stationary processes
existence theorem
theorem which asserts the existence of an object
ergodic theorem
mathematical theorem by George David Birkhoff
Ostrowski's theorem
on all absolute values of rational numbers
economic theorem
law, or rule, in economics