Computer algebra : EUROCAL '83, European Computer Algebra Conference, London, England, March 28-30, 1983 : proceedings
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書誌事項
Computer algebra : EUROCAL '83, European Computer Algebra Conference, London, England, March 28-30, 1983 : proceedings
（Lecture notes in computer science, 162）
Springer-Verlag, 1983
- : gw
- : us
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Includes bibliographies
内容説明・目次
目次
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 Groebner-bases.- Groebner 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.
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