linearity theorem
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Linearity of integration — In calculus, linearity is a fundamental property of the integral that follows from the sum rule in integration and the constant factor rule in integration. Linearity of integration is related to the linearity of summation, since integrals are… … Wikipedia
Quantum no-deleting theorem — Quantum states are fragile in one sense and also robust in another sense. Quantum theory tells us that given a single quantum it is impossible to determine it. One needs infinite number of identically prepared quantum states (copies) to know a… … Wikipedia
Choi's theorem on completely positive maps — In mathematics, Choi s theorem on completely positive maps (after Man Duen Choi) is a result that classifies completely positive maps between finite dimensional (matrix) C* algebras. An infinite dimensional algebraic generalization of Choi s… … Wikipedia
Stokes' theorem — For the equation governing viscous drag in fluids, see Stokes law. Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus Derivative Change of variables Implicit differentiatio … Wikipedia
Chinese remainder theorem — The Chinese remainder theorem is a result about congruences in number theory and its generalizations in abstract algebra. In its most basic form it concerned with determining n, given the remainders generated by division of n by several numbers.… … Wikipedia
Stinespring factorization theorem — In mathematics, Stinespring s dilation theorem, also called Stinespring s factorization theorem, is a result from operator theory that represents any completely positive map on a C* algebra as a composition of two completely positive maps each of … Wikipedia
Dominated convergence theorem — In measure theory, Lebesgue s dominated convergence theorem provides sufficient conditions under which two limit processes commute, namely Lebesgue integration and almost everywhere convergence of a sequence of functions. The dominated… … Wikipedia
No cloning theorem — The no cloning theorem is a result of quantum mechanics which forbids the creation of identical copies of an arbitrary unknown quantum state. It was stated by Wootters, Zurek, and Dieks in 1982, and has profound implications in quantum computing… … Wikipedia
Open mapping theorem (functional analysis) — In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is… … Wikipedia
No-cloning theorem — Quantum mechanics Uncertainty principle … Wikipedia
Parseval's theorem — In mathematics, Parseval s theorem [Parseval des Chênes, Marc Antoine Mémoire sur les séries et sur l intégration complète d une équation aux differences partielle linéaire du second ordre, à coefficiens constans presented before the Académie des … Wikipedia