Dirac measure

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• Dirac measure — In mathematics, a Dirac measure is a measure δx on a set X (with any σ algebra of subsets of X) defined by for a given and any (measurable) set A ⊆ X. The Dirac measure is a probability measure, and in terms of probability it represents …   Wikipedia

• Dirac delta function — Schematic representation of the Dirac delta function by a line surmounted by an arrow. The height of the arrow is usually used to specify the value of any multiplicative constant, which will give the area under the function. The other convention… …   Wikipedia

• Measure (mathematics) — Informally, a measure has the property of being monotone in the sense that if A is a subset of B, the measure of A is less than or equal to the measure of B. Furthermore, the measure of the empty set is required to be 0. In mathematical analysis …   Wikipedia

• Dirac equation — Quantum field theory (Feynman diagram) …   Wikipedia

• Support (measure theory) — In mathematics, the support (sometimes topological support or spectrum) of a measure μ on a measurable topological space ( X , Borel( X )) is a precise notion of where in the space X the measure lives . It is defined to be the largest (closed)… …   Wikipedia

• Singular measure — In mathematics, two positive (or signed or complex) measures μ and ν defined on a measurable space (Ω, Σ) are called singular if there exist two disjoint sets A and B in Σ whose union is Ω such that μ is zero on all measurable subsets of B while… …   Wikipedia

• Paul Dirac — Paul Adrien Maurice Dirac Born Paul Adrien Maurice Dirac 8 August 1902(1902 08 08) Bristol, England …   Wikipedia

• Secondary measure — In mathematics, the secondary measure associated with a measure of positive density ho when there is one, is a measure of positive density mu, turning the secondary polynomials associated with the orthogonal polynomials for ho into an orthogonal… …   Wikipedia

• Radon measure — In mathematics (specifically, measure theory), a Radon measure, named after Johann Radon, is a measure on the σ algebra of Borel sets of a Hausdorff topological space X that is locally finite and inner regular. Contents 1 Motivation 2 Definitions …   Wikipedia

• Gaussian measure — In mathematics, Gaussian measure is a Borel measure on finite dimensional Euclidean space R n , closely related to the normal distribution in statistics. There is also a generalization to infinite dimensional spaces. Gaussian measures are named… …   Wikipedia

• Strictly positive measure — In mathematics, strict positivity is a concept in measure theory. Intuitively, a strictly positive measure one that is nowhere zero , or that it is zero only on points .DefinitionLet ( X , T ) be a Hausdorff topological space and let Sigma; be a… …   Wikipedia