combination theorem
31Bruck–Chowla–Ryser theorem — The Bruck–Chowla–Ryser theorem is a result on the combinatorics of block designs. It states that if a ( v , b , r , k , λ) design exists with v = b (a symmetric design), then: : k − λ is a squarewhen v is even, and the diophantine equation: x 2 − …
32Cochran's theorem — In statistics, Cochran s theorem, devised by William G. Cochran,[1] is a theorem used in to justify results relating to the probability distributions of statistics that are used in the analysis of variance.[2] Contents 1 Statement 2 …
33Sonnenschein–Mantel–Debreu theorem — The Sonnenschein–Mantel–Debreu theorem (named after Gérard Debreu, Rolf Ricardo Mantel, and Hugo Freund Sonnenschein) is a result in general equilibrium economics. It states that the excess demand function for an economy is not restricted by the… …
34Adiabatic theorem — The adiabatic theorem is an important concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928),cite journal |author=M. Born and V. A. Fock |title=Beweis des Adiabatensatzes |journal=Zeitschrift für Physik A… …
35Wigner-Eckart theorem — The Wigner Eckart theorem is a theorem of representation theory and quantum mechanics. It states that matrix elements of spherical tensor operators on the basis of angular momentum eigenstates can be expressed as the product of two factors, one… …
36Cramér-Wold theorem — In mathematics, the Cramér Wold theorem in measure theory states that a Borel probability measure on R^k is uniquely determined by the totality of its one dimensional projections. The theorem is named after Harald Cramér and Herman Ole Andreas… …
37Kronecker's theorem — In mathematics, Kronecker s theorem, named after Leopold Kronecker, is a result in diophantine approximations applying to several real numbers xi , for 1 ≤ i ≤ N , that generalises dubious the equidistribution theorem, which implies that an… …
38Sonnenschein-Mantel-Debreu Theorem — The Sonnenschein Mantel Debreu Theorem is a result in General equilibrium economics. It states that the system of excess demand functions pertaining to an economy with sufficiently many agents is in no way restricted by the usual rationality… …
39Gauss-Lucas theorem — In complex analysis, the Gauss Lucas theorem gives a geometrical relation between the roots of a polynomial P and the roots of its derivative P . The set of roots of a real or complex polynomial is a set of points in the complex plane. The… …
40Convex combination — Given three points x1,x2,x3 in a plane as shown in the figure, the point P is a convex combination of the three points, while Q is not. (Q is however an affine combination of the three poin …
