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# isoperimetric

Having the same perimeter; applied to the problem of finding a plane figure of the largest possible area whose boundary has a specified length.

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• isoperimètric — i|so|pe|ri|mè|tric Mot Pla Adjectiu variable …   Diccionari Català-Català

• isoperimetric — iso·perimetric …   English syllables

• isoperimetric — /ˌaɪsoʊpɛrəˈmɛtrɪk/ (say .uysohperuh metrik) adjective having perimeters of equal length …   Australian English dictionary

• isoperimetric — …   Useful english dictionary

• 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 problem — In mathematics, isoperimetric problem may refer to:* The isoperimetric inequality between the length of a closed curve and the area of the region it encloses, as well as its generalizations. * Any of a class of extremal problems arising in… …   Wikipedia

• 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

• Gaussian isoperimetric inequality — The Gaussian isoperimetric inequality, proved by Boris Tsirelson and Vladimir Sudakov and independently by Christer Borell, states that among all sets of given Gaussian measure in the n dimensional Euclidean space, half spaces have the minimal… …   Wikipedia

• isoperimetry — isoperimetric /uy seuh per euh me trik/, isoperimetrical, adj. /uy soh peuh rim i tree/, n. Geom. the study of isoperimeters. [1805 15; ISOPERIMET(E)R + Y3] * * * …   Universalium