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The Painleve Transcendental and the Self-dual Metrics (Global and asymptotic analysis of differential equations in the complex domain)

, 2004
昌司 奥村
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Convex Regular Polychora Nanocrystals with Dipole-Dipole Interactions. [PDF]

Nanomaterials (Basel)
Ciftja O, Batle J, Hafez MA.
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Optimized Schwarz waveform relaxation methods for wave-heat coupling in one dimensional bounded domains. [PDF]

Numer Algorithms
Chouly F, Gander MJ, Martin V.
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Diophantine Equations and Transcendental Methods(Transcendental Numbers and Related Topics)

Diophantine Equations and Transcendental Methods(Transcendental Numbers and Related Topics)
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Explicit Solutions for Transcendental Equations

SIAM Review, 2002
The approach presented here determines the roots of a transcendental function by locating the singularities of the reciprocal of the function. If an analytic function, \(f(z)\), contains a single simple pole at \(z_0\) somewhere inside \(C\), then the singularity can be removed by multiplying \(f(z)\) by \((z- z_0)\).
Luck, Rogelio, Stevens, James W.
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Transcendental solutions of diophantine equations

Functional Analysis and Its Applications, 1989
See the review in Zbl 0665.30031.
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Numerical Calculation for Complex Transcendental Equation

Applied Mechanics and Materials, 2012
The traditional method to calculate complex transcendental equation is poor, which can't meet requirements of calculating imaginary answer and fast calculation at the same time. This paper proposes "modified dichotomy method" through modifying the classical dichotomy method to solve complex transcendental equation, that can not only calculates ...
Tie Lin Sun, Hui Sun
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Complex Roots of a Transcendental Equation

The Mathematical Gazette, 1954
A joint paper by Tranter and the present author concerning the heat flow in an infinite medium heated by a sphere has necessitated a proof that no complex zeros of the equation
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Transcendental equation solver: A novel neural network for solving transcendental equation

Applied Soft Computing, 2022
Jingyi Liu, Guojun Wang, Weijun Li, Linjun Sun, Liping Zhang, Lina Yu   +5 more
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