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Titlebook: Mathematical Aspects of Computer and Information Sciences; 7th International Co Johannes Blömer,Ilias S. Kotsireas,Dimitris E. Sim Conferen

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楼主: Odious
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Isabelle Formalization of Set Theoretic Structures and Set Comprehensionss as definitional extensions. To show the adequacy and usability of the mechanisms, we reformalize a number of Mizar definitions and theorems related to structures and set comprehensions, including both mathematical and programming language examples: groups, machines and properties of computer memory states.
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Certification Using Newton-Invariant Subspacesrresponding solution lies in a given Newton-invariant subspace or its complement. This approach generalizes the method developed in collaboration with F. Sottile for deciding the reality of the solution in the special case that the Newton iteration defines a real map. A description of the implementation in . is presented along with examples.
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On Interval Methods with Zero Rewriting and Exact Geometric ComputationWe oppose interval-symbol methods with zero rewriting developed by Shirayanagi and Sekigawa [., .,.,.] to the exact geometric computation paradigm [., .], especially to exact decisions computation via lazy adaptive evaluation with expression-dags, in doing so carving out analogies and disparities.
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Fast Chinese Remaindering in Practicere fixed and can even be chosen by the user. If . is small or moderately large, then we show how to choose . that allow for speedier Chinese remaindering. The multiplication of integer matrices is one typical application where we expect practical gains for various common matrix dimensions and bitsizes of the coefficients.
发表于 2025-3-28 06:04:29 | 显示全部楼层
Homotopies for Connected Components of Algebraic Sets with Application to Computing Critical Setsthe set of solutions of .. This algorithmic approach is then used to compute a superset of the isolated points in the image of an algebraic set which arises in many applications, such as computing critical sets used in the decomposition of real algebraic sets. An example is presented which demonstrates the efficiency of this approach.
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