- essential inequality
- мат. существенное неравенство
Большой англо-русский и русско-английский словарь. 2001.
essential inequality
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Essential manifold — In mathematics, in algebraic topology and differential geometry, the notion of an essential manifold seems to have been first introduced explicitly in Mikhail Gromov s classic text in 83 (see below). DefinitionA closed manifold M is called… … Wikipedia
Gromov's systolic inequality for essential manifolds — In Riemannian geometry, M. Gromov s systolic inequality for essential n manifolds M dates from 1983. It is a lower bound for the volume of an arbitrary metric on M, in terms of its homotopy 1 systole. The homotopy 1 systole is the least length of … Wikipedia
Prékopa-Leindler inequality — In mathematics, the Prékopa Leindler inequality is an integral inequality closely related to the reverse Young s inequality, the Brunn Minkowski inequality and a number of other important and classical inequalities in analysis. The result is… … Wikipedia
Hölder's inequality — In mathematical analysis Hölder s inequality, named after Otto Hölder, is a fundamental inequality between integrals and an indispensable tool for the study of Lp spaces. Let (S, Σ, μ) be a measure space and let 1 ≤ p, q ≤ ∞ with… … Wikipedia
Economic inequality — refers to disparities in the distribution of economic assets and income. The term typically refers to inequality among individuals and groups within a society, but can also refer to inequality among nations. Economic Inequality generally refers… … Wikipedia
Grönwall's inequality — In mathematics, Grönwall s lemma allows one to bound a function that is known to satisfy a certain differential or integral inequality by the solution of the corresponding differential or integral equation. There are two forms of the lemma, a… … Wikipedia
Minkowski inequality — This page is about Minkowski s inequality for norms. See Minkowski s first inequality for convex bodies for Minkowski s inequality in convex geometry. In mathematical analysis, the Minkowski inequality establishes that the Lp spaces are normed… … Wikipedia
Loewner's torus inequality — In differential geometry, Loewner s torus inequality is an inequality due to Charles Loewner for the systole of an arbitrary Riemannian metric on the 2 torus.tatementIn 1949 Charles Loewner proved that every metric on the 2 torus mathbb T^2… … Wikipedia
Pu's inequality — [ Roman Surface representing RP2 in R3] In differential geometry, Pu s inequality is an inequality proved by P. M. Pu for the systole of an arbitrary Riemannian metric on the real projective plane RP2.tatementA student of Charles Loewner s, P.M.… … Wikipedia
Gromov's inequality for complex projective space — In Riemannian geometry, Gromov s optimal stable 2 systolic inequality is the inequality: mathrm{stsys} 2{}^n leq n!;mathrm{vol} {2n}(mathbb{CP}^n),valid for an arbitrary Riemannian metric on the complex projective space, where the optimal bound… … Wikipedia
Gromov's inequality — The following pages deal with inequalities due to Mikhail Gromov:see Bishop Gromov inequalitysee Gromov s inequality for complex projective spacesee Gromov s systolic inequality for essential manifoldssee Lévy Gromov inequality … Wikipedia
