Results 31 to 40 of about 3,503,273 (277)
Equivalent oscillator model for the nonlinear vibration of a porter governor
Journal of King Saud University: Engineering Sciences, 2023 The nonlinear free vibration of a porter governor was investigated using an equivalent oscillator model (EOM). The equivalent oscillator model, whose exact periodic solution was derived in terms of the complete elliptic integral of the second kind, was ...
Akuro Big-Alabo +2 more
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Numerically Stable and Computationally Efficient Expression for the Magnetic Field of a Current Loop
Magnetism, 2022 In this work, it is demonstrated that straightforward implementations of the well-known textbook expressions of the off-axis magnetic field of a current loop are numerically unstable in a large region of interest.
Michael Ortner +2 more
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Integrals involving complete elliptic integrals
Journal of Computational and Applied Mathematics, 1999 The authors have evaluated certain integrals involving complete elliptic integrals \(K(k)\) and \(E(k)\). Several special cases are mentioned. The interested readers are referred to [\textit{S. L. Kalla} and \textit{Bader N. Al-Saqabi}; Res. Math. 20, No. 1/2, 507-516 (1991; Zbl 0767.33016)].
Cvijovic, Djurdje, Klinowski, Jacek
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Optimal inequalities for bounding Toader mean by arithmetic and quadratic means
Journal of Inequalities and Applications, 2017 In this paper, we present the best possible parameters α ( r ) $\alpha(r)$ and β ( r ) $\beta(r)$ such that the double inequality [ α ( r ) A r ( a , b ) + ( 1 − α ( r ) ) Q r ( a , b ) ] 1 / r < T D [ A ( a , b ) , Q ( a , b ) ] < [ β ( r ) A r ( a , b )
Tie-Hong Zhao, Yu-Ming Chu, Wen Zhang
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Monotonicity rule for the quotient of two functions and its application
Journal of Inequalities and Applications, 2017 In the article, we provide a monotonicity rule for the function [ P ( x ) + A ( x ) ] / [ P ( x ) + B ( x ) ] $[P(x)+A(x)]/[P(x)+B(x)]$ , where P ( x ) $P(x)$ is a positive differentiable and decreasing function defined on ( − R , R ) $(-R, R)$ ( R > 0 ...
Zhen-Hang Yang +3 more
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Alexandria Engineering Journal, 2023 The (2+1)-dimensional combined Zakharsov-Kuznetsov-modified Zakarsov-Kuznetsov (ZK-mZK) equation with constant co-efficients are solved by employing the complete discrimination system for polynomial Method (CDSPM).
Santanu Raut +3 more
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Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed bvps in exterior domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 World Scientific Publishing.Direct segregated systems of boundary-domain integral equations are formulated for the mixed (
Mikhailov, SE +2 more
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Journal of Function Spaces, 2016 We present the best possible parameters α1,β1,α2,β2∈R and α3,β3∈(1/2,1) such that the double inequalities Qα1(a,b)A1-α1(a,b)
Hua Wang, Wei-Mao Qian, Yu-Ming Chu
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Results in Physics, 2023 It is of great significance to explore the physical properties of optical propagation, thus the scholars are keen on the physical essence represented by classical mathematical physics equations.
Tianxing Wei +6 more
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On the Complete Elliptic Integrals and Babylonian Identity XII: The Complete Elliptic Integral of First Kind and Power Series Representation [PDF]
The Bulletin of Society for Mathematical Services and Standards, 2014 We developed a new power series representation of the complete elliptic integral of first kind.
Edigles Guedes, K. Raja Rama Gandhi
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