Results 261 to 270 of about 9,684,212 (314)

Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series

Journal of Computational and Nonlinear Dynamics, 2019
This paper studies two-dimensional variable-order fractional optimal control problems (2D-VFOCPs) having dynamic constraints contain partial differential equations such as the convection–diffusion, diffusion-wave, and Burgers' equations.
H. Hassani, Z. Avazzadeh, J. Machado
semanticscholar   +1 more source

Design and Implementation of Floating-Point Transcendental Function Processor Based on RISC- V Architecture

International Conference on Communications, Circuits and Systems
Floating-point (FP) transcendental function operations are widely used in deep learning, remote sensing radar, and other engineering and application fields.
Bochen Qin, Gang Cai, Zhihong Huang
semanticscholar   +1 more source

The Escaping Set in Transcendental Dynamics

Jahresbericht Der Deutschen Mathematiker-vereinigung
The escaping set of an entire function consists of the points in the complex plane that tend to infinity under iteration. This set plays a central role in the dynamics of transcendental entire functions.
Walter Bergweiler, Lasse Rempe
semanticscholar   +1 more source

Transcendental Numbers

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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Representations of a number in an arbitrary base with unbounded digits

Georgian Mathematical Journal
In this paper, we prove that, for β ∈ ℂ {\beta\in{\mathbb{C}}} , every α ∈ ℂ {\alpha\in{\mathbb{C}}} has at most finitely many (possibly none at all) representations of the form α = d n ⁢ β n + d n - 1 ⁢ β n - 1 + … + d 0 {\alpha=d_{n}\beta^{n}+d_{n-1 ...
A. Dubickas
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Topology Meets Number Theory

The American mathematical monthly
Liouville proved the existence of a set L of transcendental real numbers now known as Liouville numbers. Erdős proved that while L is a small set in that its Lebesgue measure is zero, and even its s-dimensional Hausdorff measure, for each s > 0, equals ...
T. Chalebgwa, Sidney A. Morris
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Some Transcendental Numbers

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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Pi, a Transcendental Number

, 2020
M. Lines
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Algebraic Numbers and Transcendental Numbers

1982
A 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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A Secure Encryption/Decryption Technique using Transcendental Number

, 2015
M. R. Kumar, S. Selvin Pradeep Kumar
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