Computer Algebra: EUROCAL'83, European Computer Algebra Conference London, England, March 28-30, 1983 Proceedings: 162 - Brossura

Brossura

ISBN 10: 3540128689 ISBN 13: 9783540128687

Casa editrice: Springer, 2013

Riassunto

Integration - What do we want from the theory?.- The Euclidean algorithm for Gaussian integers.- Multi polynomial remainder sequence and its application to linear diophantine equations.- Towards mechanical solution of the Kahan ellipse problem I.- Automatically determining symmetries of ordinary differential equations.- Algebraic computation of the statistics of the solution of some nonlinear stochastic differential equations.- Characterization of a linear differential system with a regular singularity.- The Bath Concurrent LISP machine.- The ecology of LISP or the case for the preservation of the environment.- The design of Maple: A compact, portable, and powerful computer algebra system.- LISP compilation viewed as provable semantics preserving program transformation.- Implementing REDUCE on a microcomputer.- A note on the complexity of constructing Gröbner-bases.- Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations.- The computation of the Hilbert function.- An algorithm for constructing detaching bases in the ring of polynomials over a field.- On the problem of Beh? Edd?n 'Am?l? and the computation of height functions.- A procedure for determining algebraic integers of given norm.- Computation of integral solutions of a special type of systems of quadratic equations.- Factorisation of sparse polynomials.- Early detection of true factors in univariate polynomial factorization.- On the complexity of finding short vectors in integer lattices.- Factoring polynomials over algebraic number fields.- The construction of a complete minimal set of contextual normal forms.- A knowledge-based approach to user-friendliness in symbolic computing.- Computer algebra and VLSI, prospects for cross fertilization.- Code optimization ofmultivariate polynomial schemes: A pragmatic approach.

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Dalla quarta di copertina

Integration ¿ What do we want from the theory?.- The Euclidean algorithm for Gaussian integers.- Multi polynomial remainder sequence and its application to linear diophantine equations.- Towards mechanical solution of the Kahan ellipse problem I.- Automatically determining symmetries of ordinary differential equations.- Algebraic computation of the statistics of the solution of some nonlinear stochastic differential equations.- Characterization of a linear differential system with a regular singularity.- The Bath Concurrent LISP machine.- The ecology of LISP or the case for the preservation of the environment.- The design of Maple: A compact, portable, and powerful computer algebra system.- LISP compilation viewed as provable semantics preserving program transformation.- Implementing REDUCE on a microcomputer.- A note on the complexity of constructing Gr¿bner-bases.- Gr¿bner bases, Gaussian elimination and resolution of systems of algebraic equations.- The computation of the Hilbert function.- An algorithm for constructing detaching bases in the ring of polynomials over a field.- On the problem of Beh? Edd?n 'Am?l? and the computation of height functions.- A procedure for determining algebraic integers of given norm.- Computation of integral solutions of a special type of systems of quadratic equations.- Factorisation of sparse polynomials.- Early detection of true factors in univariate polynomial factorization.- On the complexity of finding short vectors in integer lattices.- Factoring polynomials over algebraic number fields.- The construction of a complete minimal set of contextual normal forms.- A knowledge-based approach to user-friendliness in symbolic computing.- Computer algebra and VLSI, prospects for cross fertilization.- Code optimization of multivariate polynomial schemes: A pragmatic approach.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3540128689
• ISBN 13: 9783540128687
• Rilegatura: Copertina flessibile
• Numero di pagine: 306
• Redattore: Hulzen J. A. Van
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania