Rationalizing Denominators Using Gröbner Bases Article Swipe

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Dongmei Li , Man Wu , Jinwang Liu , Yiman Gao ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.1155/2022/1288357

The problem of rationalizing denominators for two types of fractions is discussed in the paper. By using the theory and algorithms of Gröbner bases, we first introduce a method to rationalize the denominators of fractions with square root and cube root, and then, for the denominators with higher radical of the general form, the problem of rationalizing denominators is converted into the related problem of finding the minimal polynomials. Some interesting results and an executable algorithm for rationalizing the denominator of these type fractions are presented. Furthermore, an example is also established to illustrate the effectiveness of the algorithm.

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Cube root Mathematics Square root Executable Root (linguistics) Type (biology) Cube (algebra) Algebra over a field Algorithm Combinatorics Computer science Pure mathematics Programming language Geometry Philosophy Biology Ecology Linguistics

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Type: article
Language: en
Landing Page: https://doi.org/10.1155/2022/1288357
PDF: https://downloads.hindawi.com/journals/complexity/2022/1288357.pdf
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DOI: https://doi.org/10.1155/2022/1288357

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Title: Rationalizing Denominators Using Gröbner Bases

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Publication year: 2022

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Authors: Dongmei Li, Man Wu, Jinwang Liu, Yiman Gao

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Concepts: Cube root, Mathematics, Square root, Executable, Root (linguistics), Type (biology), Cube (algebra), Algebra over a field, Algorithm, Combinatorics, Computer science, Pure mathematics, Programming language, Geometry, Philosophy, Biology, Ecology, Linguistics

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