Separability
61Stochastic process — A stochastic process, or sometimes random process, is the counterpart to a deterministic process (or deterministic system) in probability theory. Instead of dealing with only one possible reality of how the process might evolve under time (as is… …
62Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …
63Filter design — is the process of designing a filter (in the sense in which the term is used in signal processing, statistics, and applied mathematics), often a linear shift invariant filter, which satisfies a set of requirements, some of which are contradictory …
64Ecological economics — right|300px|thumb|The three pillars ofsustainabilityEcological economics is a transdisciplinary field of academic research within economics that aims to address the interdependence between human economies and natural ecosystems. Its distinguished …
65Timeline of quantum computing — Timeline of quantum computers1970s* 1970 Stephen Wiesner invents conjugate coding.* 1973 Alexander Holevo publishes a paper showing that n qubits cannot carry more than n classical bits of information (a result known as Holevo s theorem or Holevo …
66Mercer's theorem — In mathematics, specifically functional analysis, Mercer s theorem is a representation of a symmetric positive definite function on a square as a sum of a convergent sequence of product functions. This theorem, presented in (Mercer 1909), is one… …
67Action (physics) — In physics, the action is a particular quantity in a physical system that can be used to describe its operation. Action is an alternative to differential equations. The action is not necessarily the same for different types of systems.The action… …
68Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… …
69Saunders Mac Lane — (4 August 1909, Taftville, Connecticut – 14 April 2005, San Francisco) was an American mathematician who cofounded category theory with Samuel Eilenberg.CareerMac Lane was christened Leslie Saunders MacLane , but Leslie fell into disuse because… …
70Axiom of countability — In mathematics, an axiom of countability is a property of certain mathematical objects (usually in a category) that requires the existence of a countable set with certain properties, while without it such sets might not exist. Important… …
