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Concentration dimension information


In mathematics — specifically, in probability theory — the concentration dimension of a Banach space-valued random variable is a numerical measure of how "spread out" the random variable is compared to the norm on the space.

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Concentration dimension

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In mathematics — specifically, in probability theory — the concentration dimension of a Banach space-valued random variable is a numerical measure of...

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Number density

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the degree of concentration of countable objects (particles, molecules, phonons, cells, galaxies, etc.) in physical space: three-dimensional volumetric number...

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Molar concentration

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Molar concentration (also called molarity, amount concentration or substance concentration) is a measure of the concentration of a chemical species, in...

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Curse of dimensionality

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The curse of dimensionality refers to various phenomena that arise when analyzing and organizing data in high-dimensional spaces that do not occur in low-dimensional...

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Diffusion

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where n {\displaystyle n} is the dimension of this Brownian motion; Constant concentration source in one dimension—the diffusion length. In Fickian diffusion...

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Stress concentration

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discontinuity under typically tensile loads can be expressed as a non-dimensional stress concentration factor K t {\displaystyle K_{t}} , which is the ratio of the...

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Concentration of media ownership

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Concentration of media ownership, also known as media consolidation or media convergence, is a process wherein fewer individuals or organizations control...

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Concentration parameter

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definition is smaller by a factor of the dimension of the distribution. A concentration parameter of 1 (or k, the dimension of the Dirichlet distribution, by...

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Dimensionless quantity

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properties and ratios such as mole fractions concentration ratios are dimensionless. Quantities having dimension one, dimensionless quantities, regularly...

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Mauthausen concentration camp

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Quantitative Dimension of Mass Murder at the Mauthausen Concentration Camp and its Subcamps". Memorial Book for the Dead of the Mauthausen Concentration Camp:...

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Shapley Supercluster

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to be the most striking concentration of galaxies. He found it particularly interesting because of its "great linear dimension, the numerous population...

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Equilibrium constant

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{B} ]^{\beta }...}}(eq)} does have the dimension of concentration raised to some power (see § Dimensionality, below). Such reaction quotients are often...

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Pharmacokinetics

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that places great emphasis on the relationship between drug plasma concentration and the time elapsed since the drug's administration. Pharmacokinetics...

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Nonlinear dimensionality reduction

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Nonlinear dimensionality reduction, also known as manifold learning, is any of various related techniques that aim to project high-dimensional data onto...

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Cooling tower

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loss water and the draw-off water. Using these flow rates and concentration dimensional units: A water balance around the entire system is then: M = E...

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Thermodynamic activity

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thermodynamics, activity (symbol a) is a measure of the "effective concentration" of a species in a mixture, in the sense that the species' chemical...

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Charge carrier density

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Charge carrier density, also known as carrier concentration, denotes the number of charge carriers per volume. In SI units, it is measured in m−3. As...

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Samadhi

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together', thus suggesting the concentration or unification of the mind"; generally translated [in Buddhism] as "concentration." sam-ā-dhā: "to hold together...

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Milligram per cent

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which is a unit of mass, not a concentration. Therefore, for dimensional analysis purposes, when denoting a concentration of mass divided by volume, it...

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Gulag

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given year were released. The institutional analysis of the Soviet concentration system is complicated by the formal distinction between GULAG and GUPVI...

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The Holocaust

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note that the Jews were unique in being despised and assaulted in every dimension of their identity, corporeal and psychic."; Sahlstrom 2021, p. 291, "the...

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Toxic unit

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presented in an isobologram. A response surface is a three dimensional graph with concentrations of individual components in toxic units on the x and y axis...

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Dirichlet distribution

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define the concentration parameter as the sum of the Dirichlet parameters for each dimension, the Dirichlet distribution with concentration parameter K...

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Chromatography

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first dimension are selected for separation by the second dimension, or in a comprehensive approach, where all the analytes from the first dimension undergo...

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Holocaust victims

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ISBN 978-0801883583. Benz, Wolfgang (2015). Dimension des Völkermords: Die Zahl der jüdischen Opfer des Nationalsozialismus [Dimension of the genocide: the number of...

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Thermal Equilibrium of the Atmosphere with a Given Distribution of Relative Humidity

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surface temperature through greenhouse effect. Manabe and Wetherald one-dimension climate radiative-convective model takes includes an accurate spectroscopy...

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Collision theory

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is often predicted using the Transition state theory. Increasing the concentration of the reactant brings about more collisions and hence more successful...

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