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F-algebra
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191	Equilibrium Points in n-Person Games Author(s): John F. Nash Source: Proceedings of the National Academy of Sciences of the United States of America, Vol. 36, No. 1 (Jan. 15, 1950), ppPublished by: National Acade Add to Reading List Source URL: www.calpoly.edu Language: English - Date: 2013-03-26 13:41:42 Algebraic topology Homotopy theory CW complex Homotopy group Homology theory Cohomology Tuple Torus Eilenberg–MacLane space Topology Mathematics Abstract algebra
192	ON A RESULT OF ARTIN AISE JOHAN DE JONG Let k be an algebraically closed field of characteristic p > 0. Let t be a parameter and set S = Spec(k[[t]]). Let f : X → S be a smooth proper morphism with generic fibre Xη an Add to Reading List Source URL: math.columbia.edu Language: English - Date: 2011-10-21 23:36:29 Algebra Homological algebra Algebraic geometry Crystalline cohomology Elementary class Structure Abstract algebra Model theory Mathematics
193	Energy level crossings in molecular dynamics F. Bornemann1 , C. Lasser2 , T. Swart2 1 Zentrum Mathematik, Technische Universit¨ at M¨ Add to Reading List Source URL: www-m3.ma.tum.de Language: English - Date: 2010-05-06 15:47:03 Mathematics Linear algebra Symbol Wigner quasi-probability distribution Rotation matrix Landau–Zener formula Dual space Principia Mathematica Μ operator Algebra Quantum mechanics Physics
194	L For n=1,...,m where Lm• = 0, hence we can find a closed subset H in H and any sets F on X, U is a closed immersion of S, then U → T is a separated algebraic space. Proof. Proof of (1). It also start we get S = Spec Add to Reading List Source URL: cs.stanford.edu Language: English - Date: 2015-05-04 17:31:38 Sheaf theory Scheme theory Algebraic topology Sheaf Étale morphism Proj construction Algebraic space Lemmas Ideal sheaf Abstract algebra Algebraic geometry Algebra
195	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Assignment 3 Due: Tuesday 1 pm, March 17, 2015. In the following, E, F, K are fields. Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-03-03 04:39:36 Field theory Algebraic number theory Galois extension Field extension Field Separable extension Fundamental theorem of Galois theory Abstract algebra Algebra Galois theory
196	Transposition theorems and qualification-free optimality conditions Hermann Schichl and Arnold Neumaier Fakult¨at f¨ ur Mathematik, Universit¨at Wien Nordbergstr. 15, A-1090 Wien, Austria Add to Reading List Source URL: www.mat.univie.ac.at Language: English - Date: 2006-02-20 09:13:50 Operations research Convex optimization Convex analysis Karush–Kuhn–Tucker conditions Linear programming Polynomial Vector space Fritz John conditions Algebra Mathematical optimization Mathematics
197	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 1 In the following, E, F, K are fields. 1. Let E, K be two field extensions of F . Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-02-17 01:14:10 Field theory Euclidean algorithm Field extension Field Factorization of polynomials over a finite field and irreducibility tests Splitting field Abstract algebra Algebra Mathematics
198	The University of Hong Kong DEPARTMENT OF MATHEMATICS MATH3302/MATH4302 Algebra II Suggested Solution to Assignment 5 In the following, E, F, K are ﬁelds. 1. Let x be nonalgebraic over an arbitrary ﬁeld F , E = F (I( Add to Reading List Source URL: hkumath.hku.hk Language: English - Date: 2015-04-14 02:55:30 Field theory Galois theory Fundamental theorem of Galois theory Abstract algebra Algebra Group theory
199	©DIGITALVISION F E A T U R E Design, implementation, and salient features Add to Reading List Source URL: iel.ucdavis.edu Language: English - Date: 2005-05-18 17:14:04 Cross-platform software Array programming languages Web development MATLAB Numerical linear algebra World Wide Web Control theory Java applet C Software Computing Mathematical software
200	Elliptic Functions with Simple Symmetries and Fast Addition Formulas H. Karcher, Bonn Any two elliptic functions f, g of degree 2 diﬀer only by a torus translation T and a M¨ obius transformation M , i.e. g = M ◦ f Add to Reading List Source URL: www.math.uni-bonn.de Language: English - Date: 2005-06-02 12:43:45 Analytic number theory Elliptic functions Ordinary differential equations Elliptic curve Group theory Sheaf Jacobi elliptic functions Spectral theory of ordinary differential equations Sturm–Liouville theory Mathematical analysis Abstract algebra Mathematics

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