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Ordered algebraic structures --- Mathematics --- Classical mechanics. Field theory --- algebra --- wiskunde --- mechanica
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Quantum chemistry --- fysicochemie --- Chemical bonds --- Semiconductors --- 530.145 --- 541.5 --- #WSCH:AAS2 --- Crystalline semiconductors --- Semi-conductors --- Semiconducting materials --- Semiconductor devices --- Crystals --- Electrical engineering --- Electronics --- Solid state electronics --- Bonds, Chemical --- Chemical structure --- Chemistry, Physical and theoretical --- Overlap integral --- Valence (Theoretical chemistry) --- Quantum theory --- Valencies. Bonds. Affinity --- Materials --- Chemical bonds. --- Semiconductors. --- 541.5 Valencies. Bonds. Affinity --- 530.145 Quantum theory
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Difference algebra grew out of the study of algebraic difference equations with coefficients from functional fields in much the same way as the classical algebraic geometry arose from the study of polynomial equations with numerical coefficients. The first stage of the development of the theory is associated with its founder J. F. Ritt (1893 - 1951) and R. Cohn whose book Difference Algebra (1965) remained the only fundamental monograph on the subject for many years. Nowadays, difference algebra has overgrew the frame of the theory of ordinary algebraic difference equations and appears as a rich theory with applications to the study of equations in finite differences, functional equations, differential equations with delay, algebraic structures with operators, group and semigroup rings. This book reflects the contemporary level of difference algebra; it contains a systematic study of partial difference algebraic structures and their applications, as well as the coverage of the classical theory of ordinary difference rings and field extensions. The monograph is intended for graduate students and researchers in difference and differential algebra, commutative algebra, ring theory, and algebraic geometry. It will be also of interest to researchers in computer algebra, theory of difference equations and equations of mathematical physics. The book is self-contained; it requires no prerequisites other than knowledge of basic algebraic concepts and mathematical maturity of an advanced undergraduate.
Ordered algebraic structures --- Mathematics --- Classical mechanics. Field theory --- algebra --- wiskunde --- mechanica
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Valuation of mortgage-backed securities (MBS) requires blending empirical analysis of borrower behaviour and mathematical modelling of interest rates and home prices, with recognition of various prices of risk and uncertainty. This book offers a detailed description of the sophisticated theories and advanced methods used for the real-world valuation of MBS.
Mortgage-backed securities. --- Mortgage-backed securities --- Valuation --- Ginnie Mae securities --- Mortgage securities --- Pass-through mortgage securities --- Securities, Mortgage-backed --- Securities
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This volume contains survey articles and original research papers, presenting the state of the art on applying the symbolic approach of Gröbner bases and related methods to differential and difference equations. The contributions are based on talks delivered at the Special Semester on Gröbner Bases and Related Methods hosted by the Johann Radon Institute of Computational and Applied Mathematics, Linz, Austria, in May 2006.
Gröbner bases --- Differential equations --- 517.91 Differential equations --- Gröbner basis theory --- Commutative algebra --- Kongress. --- Linz <2006> --- Algebras. --- base. --- ideal. --- polynomial. --- sybolic computation.
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