- isoperimetric constant
- мат.изопериметрическая константа
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Isoperimetric dimension — In mathematics, the isoperimetric dimension of a manifold is a notion of dimension that tries to capture how the large scale behavior of the manifold resembles that of a Euclidean space (unlike the topological dimension or the Hausdorff dimension … Wikipedia
Isoperimetric inequality — The isoperimetric inequality is a geometric inequality involving the square of the circumference of a closed curve in the plane and the area of a plane region it encloses, as well as its various generalizations. Isoperimetric literally means… … Wikipedia
Cheeger constant — This article discusses the Cheeger isoperimetric constant and Cheeger s inequality in Riemannian geometry. For a different use, see Cheeger constant (graph theory). In Riemannian geometry, the Cheeger isoperimetric constant of a compact… … Wikipedia
Curve of constant width — A Reuleaux triangle is a curve of constant width. The sides of the square are supporting lines: each touches the curve but does not intersect the interior. The Reuleaux triangle can be rotated whilst always touching each side of the square in a… … Wikipedia
Cheeger constant (graph theory) — In mathematics, the Cheeger constant (also Cheeger number or isoperimetric number) of a graph is a numerical measure of whether or not a graph has a bottleneck . The Cheeger constant as a measure of bottleneckedness is of great interest in many… … Wikipedia
Introduction to systolic geometry — Systolic geometry is a branch of differential geometry, a field within mathematics, studying problems such as the relationship between the area inside a closed curve C , and the length or perimeter of C . Since the area A may be small while the… … Wikipedia
Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… … Wikipedia
Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference … Wikipedia
Gerrymandering — Jerrymander redirects here. Jerrymander may also refer to the arachnid known as Solifugae. For the 2010 documentary film, see Gerrymandering (film). Part of the Politics series … Wikipedia