(mathematics, functional analysis) A proposition about convex sets in topological vector spaces.

(mathematics) An important theorem on the existence and uniqueness of solutions to first-order equations with given initial conditions.

(mathematics) A theorem stating that, given n measurable "objects" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane.

(mathematics, physics) A theorem about certain vector spaces, relating to string theory.

plural of central limit theorem

(graph theory) A theorem stating that given any separation of a plane into contiguous regions, producing a figure called a map, no more than four colors are required to color the regions so that no two adjacent regions have the same color (adjacent being defined as two regions sharing a boundary, not counting corners, in which three or more regions share a boundary).

(mathematics) In knot theory, a theorem stating that three-dimensional smooth curves with small total curvature must be unknotted.

(number theory) A result that is useful in establishing the transcendence of numbers, stating that, if α₁, ..., αₙ are algebraic numbers which are linearly independent over the rational numbers ℚ, then e^(α₁), ..., e^(αₙ) are algebraically independent over ℚ.

(mathematics) In real algebraic geometry, a theorem that describes the possible numbers of connected components that an algebraic curve can have, in terms of the degree of the curve.

(mathematics) A theorem stating that a set in (n + 1)-dimensional space defined by polynomial equations and inequalities can be projected down onto n-dimensional space, and the resulting set is still definable in terms of polynomial identities and inequalities.