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

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...

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...

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...

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...

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

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

tools for studying either point processes or concentration of measure properties of metric spaces. One type of Laplace functional, also known as a characteristic...

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

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...

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

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

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

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

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

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

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

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

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...

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

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

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

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

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

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...

ellipsoid sections of convex sets. In 1971, Vitali Milman gave a new proof of Dvoretzky's theorem, making use of the concentration of measure on the sphere...

(the hippocampus and surrounding cortex). Modern development of concentration of measure theory (stochastic separation theorems) with applications to...

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...

Combinatorial explosion Branching factor Granularity Curse of dimensionality Concentration of measure Noga Alon George Andrews József Beck Eric Temple Bell...