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singular measure

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  • 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

  • Singular — may refer to:* A grammatical number denoting a unit quantity (as opposed to the plural and other forms) * SINGULAR, a computer algebra system * gravitational singularity * technological singularity * Cingular Wireless, a major mobile network… …   Wikipedia

  • Singular distribution — In probability, a singular distribution is a probability distribution concentrated on a set of Lebesgue measure zero set where the probability of each point in that set is zero. Such distributions are not absolutely continuous with respect to… …   Wikipedia

  • measure */*/*/ — I UK [ˈmeʒə(r)] / US [ˈmeʒər] noun [countable] Word forms measure : singular measure plural measures 1) an action that is intended to achieve or deal with something This is a temporary measure to stop the problem from getting any worse. take… …   English dictionary

  • Singular function — The graph of the winding number of the circle map is an example of a singular function. In mathematics, a singular function is any function ƒ defined on the interval [a, b] that has the following properties: ƒ is continuous on [a, b]. (**) there… …   Wikipedia

  • Singular 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… …   Wikipedia

  • Singular cardinals hypothesis — In set theory, the singular cardinals hypothesis (SCH) arose from the question of whether the least cardinal number for which the generalized continuum hypothesis (GCH) might fail could be a singular cardinal.According to Mitchell (1992), the… …   Wikipedia

  • Singular point — Point Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… …   The Collaborative International Dictionary of English

  • Doubling measure — In mathematics, a metric space X with metric d is said to be doubling if there is some constant M > 0 such that for any x in X and r > 0, the ball B(x, r) = {y:|x − y| < r} may be… …   Wikipedia

  • 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

  • Trivial measure — In mathematics, specifically in measure theory, the trivial measure on any measurable space ( X , Σ) is the measure μ which assigns zero measure to every measurable set: μ ( A ) = 0 for all A in Σ.Properties of the trivial measureLet μ denote the …   Wikipedia

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