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isoperimetric problem — ▪ mathematics in mathematics, the determination of the shape of the closed plane curve having a given length and enclosing the maximum area. (In the absence of any restriction on shape, the curve is a circle.) The calculus of variations… … Universalium
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
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 — adjective Having the same perimeter; applied to the problem of finding a plane figure of the largest possible area whose boundary has a specified length … Wiktionary
Isoperimetrisches Problem — Das isoperimetrische Problem der geometrischen Variationsrechnung fragt in seiner ursprünglichen, auf das klassische Griechenland zurückgehenden Form (siehe Problem der Dido), welche Form eine geschlossene Kurve mit gegebener Länge haben muss,… … Deutsch Wikipedia
Chaplygin problem — In mathematics, particularly in the fields of nonlinear dynamics and the calculus of variations, the Chaplygin problem is an isoperimetric problem with a differential constraint. Specifically, the problem is to determine what flight path an… … Wikipedia
calculus of variations — the branch of mathematics that deals with the problem of finding a curve or surface that maximizes or minimizes a given expression, usually with several restrictions placed on the desired curve. [1830 40] * * * ▪ mathematics branch of… … Universalium
List of mathematics articles (I) — NOTOC Ia IA automorphism ICER Icosagon Icosahedral 120 cell Icosahedral prism Icosahedral symmetry Icosahedron Icosian Calculus Icosian game Icosidodecadodecahedron Icosidodecahedron Icositetrachoric honeycomb Icositruncated dodecadodecahedron… … 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
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
