Results 161 to 170 of about 137,282 (201)
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2022
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are
Alan Baker, David Masser
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First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are
Alan Baker, David Masser
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1995
Abstract A real or complex number which satisfies no polynomial equation with algebraic coefficients is called transcendental (see Section 1 of Chapter 5). Liouville, in 1844, was the first to show that transcendental numbers exist. although we now know that almost all real or complex numbers have this property.
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Abstract A real or complex number which satisfies no polynomial equation with algebraic coefficients is called transcendental (see Section 1 of Chapter 5). Liouville, in 1844, was the first to show that transcendental numbers exist. although we now know that almost all real or complex numbers have this property.
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Cryptography based on transcendental numbers
1996We investigate irrational numbers as a source of pseudorandom bits. We suggest two secure pseudorandom bit generators based on transcendental numbers. These two classes of transcendentals are applied to construct novel encryption algorithms. Properties of the encryption algorithms are studied and preliminary cryptanalysis is given.
Josef Pieprzyk +3 more
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1996
In this chapter we’ll meet some numbers that transcend the bounds of algebra. The most famous ones are Ludolph’s number π, Napier’s number e, Liouville’s number l, and various logarithms.
John H. Conway, Richard K. Guy
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In this chapter we’ll meet some numbers that transcend the bounds of algebra. The most famous ones are Ludolph’s number π, Napier’s number e, Liouville’s number l, and various logarithms.
John H. Conway, Richard K. Guy
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Analysis of Transcendental Number
International Journal of Innovative Science and Research TechnologyThe complex realm of transcendental numbers is examined in this subject, along with its characteristics, relationships to other branches of mathematics, and practical uses. The study starts with a summary of transcendental number theory, including its historical evolution, salient characteristics, and important mathematical applications.
Suman Rani, Sunita .
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Algebraic Numbers and Transcendental Numbers
1982A real number can be represented as a point on a straight line, so that a collection of real numbers is sometimes called a point set. For example, {1/n:n = 1,2,…} is a point set, the set of rational numbers in the interval (a, b) is a point set.
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Indonesia as a legal welfare state: A prophetic-transcendental basis
Heliyon, 2021Khudzaifah Dimyati +2 more
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Algebraic and Transcendental Numbers
2018We start this chapter by inverting the viewpoint of Chap. 15 . More precisely, we fix a complex number z and examine the set of polynomials \(f\in \mathbb C[X]\) for which f(z) = 0. As a byproduct of our discussion, we give a (hopefully) more natural proof of the closedness, with respect to the usual arithmetic operations, of the set of complex numbers
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Transcendental equation solver: A novel neural network for solving transcendental equation
Applied Soft Computing Journal, 2022Jingyi Liu, Guojun Wang, Weijun Li
exaly