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Relevant bibliographies by topics / Rational exponentiation

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Academic literature on the topic 'Rational exponentiation'

Author: Grafiati

Published: 2 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Rational exponentiation"

1

Kirby, Jonathan. "The rational field is not universally definable in pseudo-exponentiation." Fundamenta Mathematicae 232, no. 1 (2016): 79–88. http://dx.doi.org/10.4064/fm232-1-6.

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2

Weihrauch, Klaus. "The Computable Multi-Functions on Multi-represented Sets are Closed under Programming." JUCS - Journal of Universal Computer Science 14, no. (6) (2008): 801–44. https://doi.org/10.3217/jucs-014-06-0801.

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In the representation approach to computable analysis (TTE) [Grz55, KW85, Wei00], abstract data like rational numbers, real numbers, compact sets or continuous real functions are represented by finite or infinite sequences (Σ*, Σω) of symbols, which serve as concrete names. A function on abstract data is called computable, if it can be realized by a computable function on names. It is the purpose of this article to justify and generalize methods which are already used informally in computable analysis for proving computability. As a simple formalization of informal programming we consider flow

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3

OSTWALD, RENATA N. "On the existence of Levi Foliations." Anais da Academia Brasileira de Ciências 73, no. 1 (2001): 07–13. http://dx.doi.org/10.1590/s0001-37652001000100002.

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Let L <img src="http:/img/fbpe/aabc/v73n1/0059c.gif"> <img src="http:/img/fbpe/aabc/v73n1/0059c2.gif"> be a real 3 dimensional analytic variety. For each regular point p <img src="http:/img/fbpe/aabc/v73n1/0059e.gif"> L there exists a unique complex line l p on the space tangent to L at p. When the field of complex line p <img ALIGN="MIDDLE" BORDER="0" src="http:/img/fbpe/aabc/v73n1/0059img4.gif" ALT="$\displaystyle \mapsto$"> l p is completely integrable, we say that L is Levi variety. More generally; let L <img src="http:/img/fbpe/aabc/v73n1/0059c.gif"> M be a r

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4

Moldovyan, Dmitriy, Nikolay Moldovyan, and Nikolay Moldovyan. "A NEW APPROACH TO THE DEVELOPMENT OF MULTIDIMENSIONAL CRYPTOGRAPHY ALGORITHMS." Voprosy kiberbezopasnosti, no. 2(54) (2023): 52–64. http://dx.doi.org/10.21681/2311-3456-2023-2-52-64.

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Purpose of work is the reduction in the size of the public key of public-key algorithms of multivariate cryptography based on the computational difficulty of solving systems of many power equations with many unknowns. Research method is use of non-linear mappings defined as exponentiation operations in finite extended fields GF(qm) represented in the form of finite algebras. The latter makes it possible to perform the exponentiation operation in the field GF(qm) by calculating the values of power polynomials over the field GF(q), which define a hardly reversible nonlinear mapping of the vector

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5

Nja, M. E., E. C. Nduka, and U. P. Ogoke. "A Modified Iterative Weighted Least Squares Method." January 16, 2014. https://doi.org/10.5281/zenodo.9743.

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The Iterative Weighted Least Squares (IWLS) method is one of the estimation procedures in logistic regression modeling. In consideration of the strategic role played by this model, especially in biometrics, the need to source for alternative logistic regression estimators has continued to resurface in the literature. In this paper, a modified IWLS method is developed by exponentiating the response probability. As a consequence, both the weight function and the adjusted dependent variate are modified. The resulting estimator is compared with the existing IWLS estimator using variances of parame

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Book chapters on the topic "Rational exponentiation"

1

Toth, Gabor. "Rational and Real Exponentiation." In Undergraduate Texts in Mathematics. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-75051-0_3.

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2

Pereyra, Nicolas A. "Exponentiation of Real Numbers with Rational Number Exponents." In Real Exponential, Logarithmic, and Trigonometric Functions for Physicists. AIP Publishing, 2022. http://dx.doi.org/10.1063/9780735424876_005.

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