Results 1 to 10 of about 66,071 (297)
Transcendental equation for the Schrödinger equation [PDF]
Mathematics of Computation, 1960 side of eq. (4). The hypergeometric function appearing in eq. (4) can be computed as described above but convergence is slow for values of x close to unity, and in this case it may be desirable to compute the functions differently [4]. A subroutine [5] has been written for the IBM 704 to calculate the toroidal harmonics using the methods described here.
J. R. M. Radok
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Finding of roots of the matrix transcendental characteristic equation using Lambert W function
Lietuvos Matematikos Rinkinys, 2011 The method of finding roots of the matrix transcendental characteristic equation, corresponding to linear matrix differential equation with delayed argument, is analyzed. The examples of the application of the method are presented.
Irma Ivanovienė, Jonas Rimas
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On Transcendental Systems of Equations [PDF]
Journal of Siberian Federal University. Mathematics & Physics, 2021 Several types of transcendental systems of equations are considered: the simplest ones, special, and general. Since the number of roots of such systems, as a rule, is infinite, it is necessary to study power sums of the roots of negative degree. Formulas for finding residue integrals, their relation to power sums of a negative degree of roots and their
Kytmanov, Alexander M., Khodos, Olga V.
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Applied Sciences, 2023 In this study, the natural frequencies and roots (Eigenvalues) of the transcendental equation in a cantilever steel beam for transverse vibration with clamped free (CF) boundary conditions are estimated using a long short-term memory-recurrent neural ...
Madiha Bukhsh +6 more
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电力工程技术, 2023 The distributed parameter model of the transmission line is a necessary premise for accurately analysing the harmonic instability of the wind farm. However, when the model is used for harmonic instability analysis, it causes difficulties in solving the ...
XU Fangwei +5 more
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Phenomenological rate-independent uniaxial hysteretic models: A mini-review
Frontiers in Built Environment, 2022 A great variety of phenomenological models has been proposed over the years to model rate-independent hysteretic forces in structural mechanics. The classification of such models is usually based on the type of equation that needs to be solved to ...
Raffaele Capuano +2 more
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Sensors, 2020 In this paper, an extremely sensitive microwave sensor is designed based on a complementary symmetric S shaped resonator (CSSSR) to evaluate dielectric characteristics of low-permittivity material.
Tanveerul Haq +5 more
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The solution of the problem of free circulation of circular arcs by numerical analytical boundary elements method [PDF]
E3S Web of Conferences, 2020 The work is devoted to determining the natural frequencies and vibration modes of a circular arch using the numerical-analytical boundary elements method. A differential equation of the natural vibrations of the arch is obtained, a complete system of its
Surianinov Mykola +3 more
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Exact solution of lossy asymmetrical coupled dielectric slab waveguides [PDF]
, 2001 This paper gives an exact characteristic equation for asymmetrical coupled dielectric slab waveguides with losses in both the guiding and surrounding regions.
Collier, R. J., Young, P. R.
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On Transcendental Numbers: New Results and a Little History
Axioms, 2018 Bringing toghether mathematical and philosophical ideas related to transcendental numbers, this paper begins with a survey on transcendence and transcendental numbers, it then presents several properties of the transcendental numbers e and π , and ...
Solomon Marcus, Florin F. Nichita
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