modulus of definition

modulus of definition
мат. определяющий модуль

Большой англо-русский и русско-английский словарь. 2001.

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  • Modulus of continuity — In mathematical analysis, a modulus of continuity is a function used to measure quantitatively the uniform continuity of functions. So, a function admits ω as a modulus of continuity if and only if for all x and y in the domain of f. Since moduli …   Wikipedia

  • Modulus (algebraic number theory) — In mathematics, in the field of algebraic number theory, a modulus (plural moduli) (or cycle,[1] or extended ideal[2]) is a formal product of places of a global field (i.e. an algebraic number field or a global function field). It is used to… …   Wikipedia

  • Modulus of convergence — In real analysis, a branch of mathematics, a modulus of convergence is a function that tells how quickly a convergent sequence converges. These moduli are often employed in the study of computable analysis and constructive mathematics. If a… …   Wikipedia

  • Modulus and characteristic of convexity — In mathematics, the modulus and characteristic of convexity are measures of how convex the unit ball in a Banach space is. In some sense, the modulus of convexity has the same relationship to the ε δ definition of uniform convexity as the modulus …   Wikipedia

  • Bulk modulus — Incompressibility redirects here. For the topic in fluid dynamics, see Compressibility. Illustration of uniform compression The bulk modulus (K) of a substance measures the substance s resistance to uniform compression. It is defined as the… …   Wikipedia

  • Distance modulus — The distance modulus is a way of expressing distances that is often used in astronomy. Contents 1 Definition 2 Different kinds of distance moduli 3 Usage 4 References …   Wikipedia

  • bulk modulus — Physics. a coefficient of elasticity of a substance, expressing the ratio between a pressure that acts to change the volume of the substance and the fractional change in volume produced. [1905 10] * * * Numerical constant that describes the… …   Universalium

  • shear modulus — Physics. a coefficient of elasticity of a substance, expressing the ratio between the force per unit area (shearing stress) that laterally deforms the substance and the shear (shearing strain) that is produced by this force. Also called modulus… …   Universalium

  • Duff Abrams — Duff A. Abrams (1880, Illinois, – 1965, New York) was an American researcher in the field of composition and properties of concrete. He developed the basic methods for testing concrete characteristics still in use today. A professor with the… …   Wikipedia

  • Split-complex number — A portion of the split complex number plane showing subsets with modulus zero (red), one (blue), and minus one (green). In abstract algebra, the split complex numbers (or hyperbolic numbers) are a two dimensional commutative algebra over the real …   Wikipedia

  • Dirichlet character — In number theory, Dirichlet characters are certain arithmetic functions which arise from completely multiplicative characters on the units of . Dirichlet characters are used to define Dirichlet L functions, which are meromorphic functions with a… …   Wikipedia


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