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・ Poimandres
・ Poimapper
・ Poimenesperus
・ Poimeniko
・ Poinachi
・ Poinar
・ Poinard
・ Poincaré
・ Poincaré (crater)
・ Poincaré complex
・ Poincaré conjecture
・ Poincaré disk model
・ Poincaré duality
・ Poincaré group
・ Poincaré half-plane model
Poincaré inequality
・ Poincaré map
・ Poincaré metric
・ Poincaré model
・ Poincaré plot
・ Poincaré recurrence theorem
・ Poincaré residue
・ Poincaré Seminars
・ Poincaré separation theorem
・ Poincaré series
・ Poincaré series (modular form)
・ Poincaré space
・ Poincaré sphere
・ Poincaré–Bendixson theorem
・ Poincaré–Birkhoff theorem


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Poincaré inequality : ウィキペディア英語版
Poincaré inequality
In mathematics, the Poincaré inequality is a result in the theory of Sobolev spaces, named after the French mathematician Henri Poincaré. The inequality allows one to obtain bounds on a function using bounds on its derivatives and the geometry of its domain of definition. Such bounds are of great importance in the modern, direct methods of the calculus of variations. A very closely related result is the Friedrichs' inequality.
==Statement of the inequality==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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