In mathematics, concentration of measure (about a median) is a principle that is applied in measure theory, probability and combinatorics, and has consequences...

constant over most of the space, concentrating sharply around its mean or median value. These are called concentration of measure phenomena. For example...

The mean corpuscular hemoglobin concentration (MCHC) is a measure of the concentration of hemoglobin in a given volume of packed red blood cell. It is calculated...

Measures of pollutant concentration are used to determine risk assessment in public health. Industry is continually synthesizing new chemicals, the regulation...

a measure of the concentration of a chemical species, in particular, of a solute in a solution, in terms of amount of substance per unit volume of solution...

metric Lévy's modulus of continuity Lévy–Prokhorov metric Lévy's continuity theorem Lévy's zero-one law Concentration of measure Lévy process Lévy–Khintchine...

market concentration produces undesirable consequences such as reduced competition and higher prices. The market concentration ratio measures the concentration...

inequality is one of the manifestations of the concentration of measure phenomenon. Roughly, the product of the probability to be in some subset of a product...

Prékopa–Leindler inequality can be used to prove results about concentration of measure. Theorem[citation needed] Let A ⊆ R n {\textstyle A\subseteq \mathbb...

of the percentage market shares of (a pre-specified number of) the largest firms in an industry. An n-firm concentration ratio is a common measure of...

foundation in the concentration of measure phenomena. One example of the blessing of dimensionality phenomenon is linear separability of a random point from...

Half maximal inhibitory concentration (IC50) is a measure of the potency of a substance in inhibiting a specific biological or biochemical function. IC50...

about equivalence of ensembles was developed into the theory of concentration of measure phenomenon, which has applications in many areas of science, from...

Osmotic concentration, formerly known as osmolarity, is the measure of solute concentration, defined as the number of osmoles (Osm) of solute per litre...

Auschwitz, or Oświęcim, was a complex of over 40 concentration and extermination camps operated by Nazi Germany in occupied Poland (in a portion annexed...

the field of probability theory that describes a relationship involving the entropy of certain metric spaces and the concentration of measure phenomenon...

isoperimetric and concentration of measure phenomena for product spaces, by obtaining inequalities which make use of new kinds of distances between a...

terms of hydrogen-ion concentration that affects their growth. But existing methods of measuring acidity determined the quantity, not the intensity, of the...

theorem on concentration of measure, following notes by Barvinok and notes by Lap Chi Lau. See also Concentration of measure#Concentration on the sphere...

Half maximal effective concentration (EC50) is a measure of the concentration of a drug, antibody or toxicant which induces a biological response halfway...

more than a thousand concentration camps (German: Konzentrationslager), including subcamps on its own territory and in parts of German-occupied Europe...

Stanford). Marton worked on various areas of mathematics, including information theory, concentration of measure and probability theory. In a 1974 paper...

leader of the special program Arithmetic Combinatorics. In his PhD thesis, Vu, together with Kim, developed a theory for concentration of measure of polynomials...

a measure of the "effective concentration" of a species in a mixture, in the sense that the species' chemical potential depends on the activity of a real...

Dubhashi, Devdatt; Panconesi, Alessandro (June 15, 2009). Concentration of Measure for the Analysis of Randomized Algorithms (1st ed.). Cambridge University...

ISBN 978-0-19-953525-5. OCLC 829910957. "Tail and Concentration Inequalities" by Hung Q. Ngo "Concentration-of-measure inequalities" by Gábor Lugosi Cantelli, F...

Look up concentration in Wiktionary, the free dictionary. Concentration can refer to: Concentration, in chemistry, the measure of how much of a given...

He has achieved important results about isoperimetric problems, concentration of measure and other high-dimensional phenomena. Bobkov's inequality is named...

representations of acceptable group conduct Normal: The Düsseldorf Ripper, a 1991 play by Anthony Neilson Normal concentration, a measure of concentration for a...

hydrogen analyzer is a device used to measure the hydrogen concentration in steels and alloys when the hydrogen concentration is unknown. It also has industrial...