compact set with a boundary

  • 101Noether's theorem — This article discusses Emmy Noether s first theorem, which derives conserved quantities from symmetries. For her related theorem on infinite dimensional Lie algebras and differential equations, see Noether s second theorem. For her unrelated… …

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  • 102Heegaard splitting — In the mathematical field of geometric topology, a Heegaard splitting is a decomposition of a compact oriented 3 manifold that results from dividing it into two handlebodies. The importance of Heegaard splittings has grown in recent years as more …

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  • 103Convex polytope — A 3 dimensional convex polytope A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n dimensional space Rn.[1] Some authors use the terms convex polytope and convex… …

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  • 104Michael Atiyah — Sir Michael Atiyah Born 22 April 1929 (1929 04 22) (age 82) …

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  • 1053-sphere — Stereographic projection of the hypersphere s parallels (red), meridians (blue) and hypermeridians (green). Because this projection is conformal, the curves intersect each other orthogonally (in the yellow points) as in 4D. All curves are circles …

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  • 106Australia — /aw strayl yeuh/, n. 1. a continent SE of Asia, between the Indian and the Pacific oceans. 18,438,824; 2,948,366 sq. mi. (7,636,270 sq. km). 2. Commonwealth of, a member of the Commonwealth of Nations, consisting of the federated states and… …

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  • 107environment — environmental, adj. environmentally, adv. /en vuy reuhn meuhnt, vuy euhrn /, n. 1. the aggregate of surrounding things, conditions, or influences; surroundings; milieu. 2. Ecol. the air, water, minerals, organisms, and all other external factors… …

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  • 108Iran — /i ran , i rahn , uy ran /, n. a republic in SW Asia. 67,540,002; ab. 635,000 sq. mi. (1,644,650 sq. km). Cap.: Teheran. Formerly (until 1935), Persia. * * * Iran Introduction Iran Background: Known as Persia until 1935, Iran became an Islamic… …

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  • 109Maryland v. West Virginia — Supreme Court of the United States Argued November 2–4, 1909 Decided Februa …

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  • 110Brouwer fixed point theorem — In mathematics, the Brouwer fixed point theorem is an important fixed point theorem that applies to finite dimensional spaces and which forms the basis for several general fixed point theorems. It is named after Dutch mathematician L. E. J.… …

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