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The problem of localizing real zeros of polynomials with parametric coefficients is considered.An informative solution to this problem is proposed and an algorithm based on a generalization of Sturm's method for univariate polynomials over the reals is presented. Thus, given a polynomial P(x,y),...
Working with REDUCE for algebraic and symbolic calculations on IBM-like machines and operating systems (OS) the user needs a lot of Job-Centrol-Language (JCL) tools in order-to build up files with algebraic statements-to link these files with the REDUCE-System-to start fast saving mechanism for...
Some REDUCE facilities are presented for pretty printing formal (partial) derivatives, for array-and matrix subcripts and for operators with arbitrary arguments. The package is completely written in Standard LISP and can be considered as an addition to the output repertoire of the algebraic mode...
A technique of gathering information within a program which can be useful for both code improvement ("optimization") and detecting some programming errors is illustrated on the basis of ALDES, in which programming language SAC-2 is written. This technique is usually called global data-flow...
The effect of the "ordering of identifiers" on the data structures generated and on the execution time and space required by algebraic mode programs for the REDUCE Algebraic Manipulator is illustrated by examples. Possible explanations for these results are discussed.
Our experiences with the NLARGE system 1 convinced us that some computer algebra was possible on small machines. Since this previous report, improvements in the UOLISP compiler 2 have made it possible to implement a large portion of REDUCE 2 3 on 64k byte Z80 CP/M microcomputer systems. This...
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