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A Lemma in Transcendental Number Theory [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1969
"LEMMA. Suppose p, q, p > qY, r, r, are positive rational integers, e> 0 and y are fixed, and all the numbers a1, aM2, ..., 9 'Mq, as well as the numbers P12, 2 . .P Pr are distinct and arranged in order of increasing absolute values, in other words, lakl _I lak+1I and |Pk| _ jIk+11. We set Ia,qI =,a, I PrI =P and suppose that there exist constants yo >
Robert Spira
  +5 more sources

On the order function of a transcendental number [PDF]

open access: bronzeActa Arithmetica, 1971
Let \(u\) run over all rational integers. If \(a(u)\) and \(b(u)\) are positive nondecreasing functions (not non-increasing, as in the text), and if positive constants \(c,C\), and \(u_0\) exist such that \(a(u^c)\ge Cv(u)\) for \(u\ge u_0\), we write \(a(u) \gg b(u)\) or \(b(u)\ll a(u)\); further \(a(u) >< \log u\).
K. Mahler
openalex   +3 more sources

On Ramachandra's Contributions to Transcendental Number Theory [PDF]

open access: bronzeHardy-Ramanujan Journal, 2013
The first part of this paper is a survey on Ramachandra's contribution to transcendental number theory included in his 1968 paper in Acta Arithmetica. It includes a discussion of pseudo-algebraic points of algebraically additive functions. The second part deals with applications to density statements related with a conjecture due to B.~Mazur.
Michel Waldschmidt
openalex   +5 more sources

Topological Transcendental Fields

open access: yesAxioms, 2022
This article initiates the study of topological transcendental fields F which are subfields of the topological field C of all complex numbers such that F only consists of rational numbers and a nonempty set of transcendental numbers. F, with the topology
Taboka Prince Chalebgwa   +1 more
doaj   +1 more source

The autonomy of metaphysics: ontology of Kantian tradition in works of analytical philosophers [PDF]

open access: yesОмский научный вестник: Серия "Общество. История. Современность", 2021
The article presents a critical analysis of the influence of I. Kant's ideas on the work of analytical philosophers. It is substantiated the thesis on the independence of Kantian ontology from transcendental epistemology.
A. A. Menshikova
doaj   +1 more source

On the SEL Egyptian fraction expansion for real numbers

open access: yesAIMS Mathematics, 2022
In the authors' earlier work, the SEL Egyptian fraction expansion for any real number was constructed and characterizations of rational numbers by using such expansion were established.
Mayurachat Janthawee   +1 more
doaj   +1 more source

Linking Religious Awareness of Madrasah Teachers with Critical Thinking

open access: yesTa'dib, 2023
This study aimed to obtain an overview of the critical thinking skills and religious awareness of madrasah teachers through three aspects: (1) the transcendental relationship of teachers, (2) teacher religious participation, and (3) the intensity of the
Rohmat Mulyana
doaj   +1 more source

Transcendental cinema and psychiatry. The case of Blue Velvet by David Lynch

open access: yesEuropean Psychiatry, 2021
Introduction Term ‘transcendental cinema’ was first used by Paul Schrader in the context of slow cinema, characterized by long shots, austere camerawork and acting devoid of self-consciousness. This style expresses a spiritual state and comes closer to
J. Nowocień, N. Szejko
doaj   +1 more source

ON THE ROOTS OF SYSTEMS OF TRANSCENDENTAL EQUATIONS

open access: yesПроблемы анализа, 2023
The article is devoted to investigation of simple and multiple roots of systems of transcendental equations. It is shown that the number is related to the number of real roots of the resultant of the system. Examples for systems of equations are given.
A. M. Kytmanov, O. V. Khodos
doaj   +1 more source

Algebraic and transcendental numbers [PDF]

open access: yesRendiconti del Circolo Matematico di Palermo, 1914
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Bauer, G. N., Slobin, H. L.
openaire   +4 more sources

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