theorem
in mathematics, a statement that has been proved
crossing number inequality
theorem providing a lower bound to the crossing number; for sufficiently large graphs, the crossing number is not less than a constant times the cube of the number of edges divided by the square of the number of vertices
Levinson's Theorem
in nonrelativistic quantum scattering, a theorem relating the number of bound states of a potential to the phase shift of a scattered wave at energies 0 and ∞
sum of two squares theorem
theorem in number theory
Frank's lemma
mathematical theorem of Ove Frank
Markov theorem
theorem about necessary and sufficient conditions for two braids to have closures that are equivalent
Theorem of the gnomon
certain parallelograms occurring in a gnomon have areas of equal size
Netto's theorem
theorem that smooth bijections preserve dimension
Read's conjecture
mathematical theorem first conjectured by Ronald Read
inscribed angle theorem
theorem in elementary geometry
binomial theorem
algebraic expansion of powers of a binomial
principle of explosion
theorem which states that any statement can be proven from a contradiction
law of sines
property of all triangles on a Euclidean plane
Thales' theorem
theorem
gradient theorem
theorem
Poisson summation formula
theorem
Lagrange's theorem
group theory
Hall's marriage theorem
theorem
Bertrand's postulate
theorem
Napoleon's theorem
theorem that if equilateral triangles are constructed on the sides of any triangle, either all outward or all inward, the lines connecting the centres of those equilateral triangles themselves form an equilateral triangle
modularity theorem
theorem in mathematics
Norton's theorem
theorem
Stewart's theorem
theorem describing a relation between the lengths of the sides and the length of a cevian in a triangle
Sommerfeld identity
theorem
Bessel's inequality
theorem
inverse function theorem
theorem that, if a function is continuously differentiable with nonzero Jacobian determinant at a given point, then it is locally invertible near that point
Reynolds transport theorem
3D generalization of the Leibniz integral rule
identity theorem
theorem that an analytic function is completely determined by its values on a countable subset that contains a converging sequence together with its limit
May's theorem
Social Choice theory on voting
Schwartz kernel theorem
theorem
Japanese theorem for cyclic polygons
theorem that no matter how one triangulates a cyclic polygon, the sum of inradii of triangles is constant
Hamming bound
limit on the parameters of a block code
Center-of-Mass Theorem
theorem in mechanics
tangent-secant theorem
relates line segments created by a secant with a tangent line
sphere theorem
theorem stating that a complete, simply-connected, n-dimensional Riemannian manifold with sectional curvature taking values in the interval (1, 4] is homeomorphic to the n-sphere
law of identity
logic statement saying that each thing is the same as itself
Shannon's source coding theorem
Data compression theory
envelope theorem
theorem in mathematics and economics
well-ordering principle
Statement that all sets of positive numbers contains a least element