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Titlebook: Computer Aided Proofs in Analysis; Kenneth R. Meyer,Dieter S. Schmidt Book 1991 Springer-Verlag New York Inc. 1991 Mathematica.algebra.alg

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A Toolbox for Nonlinear Dynamics,ch in nonlinear dynamics. On the mathematical front, we point to the theory of Lie transformations; in the area of computational software, we explain how massively data parallel machines open the way for symbolic solution of large problems. Finally, we show how color graphics assist in the qualitative analysis of dynamical systems.
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A Software Tool for Analysis in Function Spaces,d its associated compiler understanding the usual operations on such spaces is generated. Furthermore, based on the mathematical context, the relevant subroutines needed to implement the function calls are produced.
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Synthetic Membranes for Membrane Processes,that when extended calculations are performed, the final answers have arithmetic is that varies widely. Under certain conditions the error is so large as to completely invalidate the results, and the person doing the computation is often unaware that this has occurred.
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Synthetic Membranes for Membrane Processes,scribed here can be found in Sylvester’s paper of 1853 [12], and has been previously used only once, by Van Vleck [13] in the last century. Triangularizing this “rediscovered” form of the resultant we obtain a new method for computing a greatest common divisor (gcd) of two polynomials in .[x], along
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https://doi.org/10.1007/978-3-540-73994-4guarantees. These systems may be conveniently used as a component in theorem proving. Following a brief description of the methodology which underlies these systems, we tabulate them, indicating some properties and noting where they may be obtained for use. A brief appendix supplies an introduction
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K. C. Khulbe,C. Y. Feng,Takeshi Matsuura[16], [17], [7], [19], [12], [20]). However, because of the apparently stringent quantitative requirements, such theory has been (and often still is) considered not too well suited for concrete applications. Nevertheless, in [3], [5], [6], [21] and especially in [4], [18], [9], [2], it has been show
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Xiaofan Feng,Mario Andrea Marchisiothe Weierstrass Preparation Theorem is not applicable and where the techniques require the analysis of ideals in rings of convergent power series. Several examples are given to illustrate the methods of this analysis. In particular, the utility of the Gröbner basis algorithms which are currently imp
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