Results 201 to 210 of about 64,375 (247)

Trigonometric Solution of the Quadratic Equation

Publications of the Astronomical Society of the Pacific, 1945
distance-velocity relationship is statistical only, the lines may nevertheless be interstellar. Weak and sharp D lines with shortward (i.e., toward shorter wave lengths) displacements corresponding to the velocity of the expanding shell of the B5 source were visible on three plates. Measurements of these and several other stellar lines are in Table II.
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Trigonometric solution from apparent dip

Eos, Transactions American Geophysical Union, 1956
The apparent‐dip problem may be solved easily, quickly, and accurately by elementary trigonometry.
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General solution of the Schrödinger equation for some trigonometric potentials

Journal of Mathematical Chemistry, 2020
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Alıcı, Haydar, Tanriverdi, T.
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Solutions of Problems: Trigonometric Equations and Identities

2021
In this chapter, the problems of the first chapter are fully solved, in detail, step-by-step, and with different methods. The subjects include trigonometric equations, trigonometric identities, domain, range, period, sine and cosine identities, tangent and cotangent identities, half angle formulas, reciprocal identities, Pythagorean identities, sum and
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Stable and robust solution of trigonometric equations

Computers & Chemistry, 1992
Abstract A stable and robust analytical method for solving trigonometric equations of the form A + B·cos(ω) + C·sin(ω) = 0 is described. Numerical experiments have been performd to show that existing methods are unstable at critical values of ω; this difficulty is overcome by the new implementation. A program listing in FORTRAN77 is given.
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Rational solutions of Abel trigonometric polynomial differential equations

Journal of Geometry and Physics, 2022
This paper deals with the trigonometric polynomial differential equations of the form \[ Y' = A(\theta) Y^2 + B(\theta) Y^3, \] where \(A\) and \(B\) are real trigonometric polynomials with \(B(\theta) \not\equiv 0\). This paper proves that these equations have at most two trigonometric polynomial solutions, and further shows that such solutions are ...
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The solution of transcendental trigonometric characteristic equations

Industrial & Engineering Chemistry Research, 1992
A method is proposed for the solution of transcendental trigonometric characteristic equations. The nontrivial roots (eigenvalues) are obtained by means of inverse trigonometric functions and by taking advantage of the fact computers only calculate the principal form of these functions.
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Modified Method for the Solution of Dual Trigonometric Series Relations

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2019
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A. Choudhary, S. C. Martha, A. Chakrabarti   +2 more
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Trigonometric function solutions of Schwarzian Korteweg–de Vries equations

Communications in Theoretical Physics
Abstract In the paper we derive new solutions for the discrete and continuous Schwarzian Korteweg–de Vries (SKdV) equations. These solutions are characterized by trigonometric functions as backgrounds. For the discrete SKdV equation, its solutions are derived by using trigonometric function seeds and Bäcklund transformation.
Wang, Conghan, Liu, Xingyu, Zhang, Da-jun   +2 more
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Multiple-Wave Solutions to Generalized Bilinear Equations in Terms of Hyperbolic and Trigonometric Solutions

International Journal of Nonlinear Sciences and Numerical Simulation, 2017
Abstract The linear superposition principle is applied to hyperbolic and trigonometric function solutions to generalized bilinear equations. We determine sufficient and necessary conditions for the existence of linear subspaces of hyperbolic and trigonometric function solutions to generalized bilinear equations.
Ünsal, Ömer, Ma, Wen-Xiu, Zhang, Yujuan   +2 more
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