Results 71 to 80 of about 137,282 (201)
On one classification of transcendental numbers
The abstracts (in two languages) can be found in the pdf file of the article. Original author name(s) and title in Russian and Lithuanian: В. Г. Спринджук. Об одной классификации транцендентных чисел V. Sprindžiuk.
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Transcendentalism of curves and of numbers [PDF]
Lindemann's proof that the number e can not be the root of an algebraic equation with algebraic coefficients and algebraic exponents furnishes us with an example of a curve, namely y-e[superscirpt x] which has only one algebraic point, that is, only one point each of those coordinates is algebraic.
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The Purview of the Particular: Power and Method in Foucaultian Genealogy
ABSTRACT If Foucault was anything, he was a particularist. And yet, if we are to find valuable tools in his method today, they must be able to assist our framing and analysis of non‐particular issues. By what means can Foucault's methods grasp trans‐contextual problems?
Matt Kelley
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On the complexity of algebraic number I. Expansions in integer bases
Let $b \ge 2$ be an integer. We prove that the $b$-adic expansion of every irrational algebraic number cannot have low complexity. Furthermore, we establish that irrational morphic numbers are transcendental, for a wide class of morphisms. In particular,
Adamczewski, Boris, Bugeaud, Yann
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What does it take to turn a tool into a talking tool and that into an ultimate authority? Generative artificial intelligence (GenAI) in its diverse forms, such as large language models (LLMs), is celebrated as a useful tool. But LLM‐based conversational agents, or chatbots, the software applications through which ordinary users are likely to engage ...
Webb Keane
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With a generalized setting of transcendental functions associated with a non-linear variable, we have observed the combinatorial structures of the fractals of Julia sets and Mandelbrot sets due to the function zκcos(zκ)+pz2+q, in the complex plane with p,
Santanu Nandi +2 more
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On Sprindzuk's classification of transcendental numbers.
In this paper we show the existence of real and purely imaginary transcendental numbers with certain properties related to a classification of transcendental numbers proposed by Sprindzhuk. This implies the existence of \(\widetilde {S}\)-numbers with any given order \(v>1\), that of \(\widetilde {T}\)-numbers, and that of \(\widetilde {U}\)- numbers ...
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ABSTRACT This article explores the identity formation process undertaken by Spanish women's religious following the aggiornamento promoted by the Second Vatican Council. Specifically, it seeks to examine the context in which these women lived and acted, analysing the construction of their identities, their capacity for agency and transgression within ...
Verónica García‐Martín
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A Novel Method for Image Encryption Based on Chaos and Transcendental Numbers
In this paper, a method for image encryption is proposed based on a novel approach using chaos and transcendental numbers for generating the substitution box and the ciphering keys. The Chaotic Pi Ciphering (CPC) is a robust symmetric cryptosystem of the
Victor Manuel Silva Garcia +4 more
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M. E. Grant Duff, Philosophic Liberalism and the Global Liberal Cause
Abstract Historians disagree about how best to conceptualize nineteenth‐century British Liberalism in relation to its international contexts. This article argues that we can better understand the patterns involved by interrogating individuals who bridged the worlds of partisan politics and elaborated thought.
Alex Middleton
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