Measurable
91Borel right process — Let E be a locally compact separable metric space.We will denote by mathcal E the Borel subsets of E.Let Omega be the space of right continuous maps from [0,infty) to E that have left limits in E,and for each t in [0,infty), denote by X t the… …
92Government procurement in the United States — is based on many of the same principles as commercial contracting, but is subject to special laws and regulation as described below. Persons entering into commercial contracts are pretty much free to do anything that they can agree on. Each… …
93Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …
94Outcome-based education — (OBE) is a recurring education reform model. It is a student centered learning philosophy that focuses on empirically measuring student performance, which are called outcomes. OBE contrasts with traditional education, which primarily focuses on… …
95Stochastic 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… …
96Integration by substitution — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …
97Hahn decomposition theorem — In mathematics, the Hahn decomposition theorem, named after the Austrian mathematician Hans Hahn, states that given a measurable space ( X , Sigma;) and a signed measure mu; defined on the sigma; algebra Sigma;, there exist two sets P and N in… …
98Product measure — In mathematics, given two measurable spaces and measures on them, one can obtain the product measurable space and the product measure on that space. Conceptually, this is similar to defining the Cartesian product of sets and the product topology… …
99Positive and negative sets — In measure theory, given a measurable space ( X , Sigma;) and a signed measure mu; on it, a set A isin; Sigma; is called a positive set for mu; if every Sigma; measurable subset of A has nonnegative measure; that is, for every E sube; A that… …
100Factorization lemma — In measure theory, the factorization lemma allows us to express a function f with another function T if f is measurable with respect T . An application of this is regression analysis.TheoremLet T:Omega ightarrowOmega be a function of a set Omega… …
