theorem
in mathematics, a statement that has been proved
Pappus' area theorem
Relates areas of three parallelograms attached to three sides of an arbitrary triangle
Chasles' theorem
theorem that the Newtonian gravitational attraction of a spherical shell, outside of that shell, is equivalent to that of a point mass
Bernstein's theorem on monotone functions
mathematical theorem
Folkman's theorem
Theorem in arithmetic combinatorics on finite partitions of the natural numbers
Jacobi's four-square theorem
How many ways that a positive integer can be represented as the sum of 4 squares
Rado's theorem
Result on Ramsey Theory on verifying that a system of linear equations is regular
dimension theorem for vector spaces
all bases of a vector space have equally many elements
honeycomb conjecture
theorem that states that a regular hexagonal grid is the best way to divide a surface into regions of equal area with the least total perimeter
Euclid's first theorem
the proof of the Pythagorean theorem given in Euclid’s Elements
Bartlett's theorem
seminar Theories
first mean value theorem for integrals
theorem in integral calculus
Analyst's traveling salesman theorem
on when a set in the Euclidean plane can be contained inside a finite rectifiable curve
base change theorem
theorem relating the direct image and the pull-back of sheaves
Bott periodicity theorem
theorem on homotopy groups
Chow's moving lemma
theorem in algebraic geometry
Codd's theorem
theorem of expressive equivalence between relational languages
commutativity of conjunction
rule of inference
constructive dilemma
Rule of inference of propositional logic
Crooks fluctuation theorem
statistical mechanics theorem relating non-equilibrium work to free energy differences
disjunction elimination
Rule of inference of propositional logic
dodecahedral conjecture
theorem that the volume of any cell in the Voronoi decomposition for a sphere packing is no less than the volume of a regular dodecahedron circumscribed to a unit sphere
Dudley's theorem
concept in probability theory
Edgeworth's limit theorem
mathematical theorem
Nernst heat theorem
theorem that as absolute zero is approached, the entropy change ΔS for a chemical or physical transformation approaches 0
Grinberg's theorem
on Hamiltonian cycles in planar graphs
Hesse's theorem
theorem that if two pairs of opposite vertices of a quadrilateral are conjugate with respect to some conic, then so is the third pair
Lagrange reversion theorem
Gives power series for certain implictly defined functions
Lagrange's theorem
theorem in number theory
law of the unconscious statistician
theorem expressing the expected value of a function of a random variable in terms of the distribution of the random variable
Margulis lemma
mathematical sentence
Morton's theorem
poker principle
Mumford's compactness theorem
Gives conditions for a space of compact Riemann surfaces of genus > 1 to be compact
Oka coherence theorem
theorem in complex analysis that the sheaf of holomorphic functions on a holomorphic manifold is coherent
reflection principle
theory in which it is possible to find sets that resemble the class of all sets has such a principle
second moment method
method in probability theory
Segal conjecture
a theorem in homotopy theory
theorem of the cube
algebraic geometry theorem that, for any complete varieties U, V and W over an algebraically closed field, given points u, v and w on them, any invertible sheaf which has a trivial restriction to each of U×V×{w}, U×{v}×W and {u}×V×W is itself trivial
theorem of three moments
theorem used in structural analysis
toy theorem
a simplified instance of a more general theorem
Witten conjecture
Conjecture in algebraic geometry
Anne's theorem
theorem in Euclidean geometry
Mahler volume
dimensionless quantity associated with centrally symmetric convex bodies invariant under linear transformations