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Optics and Photonics News, 2006
Scientists are just beginning to understand how light stimulates the circadian system, and its consequent effect on peoples health and well-being.
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Scientists are just beginning to understand how light stimulates the circadian system, and its consequent effect on peoples health and well-being.
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Second-kind integral equations for the Laplace-Beltrami problem on surfaces in three dimensions
Advances in Computational Mathematics, 2017The Laplace-Beltrami problem ΔΓψ = f has several applications in mathematical physics, differential geometry, machine learning, and topology. In this work, we present novel second-kind integral equations for its solution which obviate the need for ...
Michael O’Neil
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A Formula for the Stirling Numbers of the Second Kind
The American Mathematical Monthly, 2020The Stirling number of the second kind S(n, k) is the number of partitions of {1,2,…,n} into k parts and is given by the following explicit formula: (1) S(n,k)=1k!∑j=0k(−1)k−j(kj)jn.
Gao-Wen Xi, Qiu-Ming Luo
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2002
In this chapter we consider integral equations of the second kind (FK2 and VK2), with both kernel k(x, s) and free term f(x) continuous on the interval [a, b], and assume that λ is a regular value of the kernel. As we know, the solution o(x) is not unique when λ is an eigenvalue of the kernel.
Prem K. Kythe, Pratap Puri
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In this chapter we consider integral equations of the second kind (FK2 and VK2), with both kernel k(x, s) and free term f(x) continuous on the interval [a, b], and assume that λ is a regular value of the kernel. As we know, the solution o(x) is not unique when λ is an eigenvalue of the kernel.
Prem K. Kythe, Pratap Puri
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ON THE GENERALIZED EULER POLYNOMIALS OF THE SECOND KIND
Journal of applied mathematics & informatics, 2013The authors define generalized Euler numbers and polynomials of the second kind as follows: \[ \left(\frac{2e^t}{e^{2t}+1}\right)^x=\sum_{n=0}^\infty \tilde{\mathcal E_n}(x)\frac{t^n}{n!}\qquad (| t|
Kim, Y. H., Jung, H. Y., Ryoo, C. S.
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Risk theory of the second and third kind
Scandinavian Actuarial Journal, 1995Abstract Over the recent years, we have witnessed a growing need for probabilistic methodology in order to describe new models in insurance. Examples are the emergence of insurance products based on ideas coming from finance, and the modelling of extremal events (catastrophes).
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Virtual Element Methods for Elliptic Variational Inequalities of the Second Kind
Journal of Scientific Computing, 2019Fang Feng, W. Han, Jianguo Huang
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A Note on Type-Two Degenerate Poly-Changhee Polynomials of the Second Kind
Symmetry, 2021Waseem Ahmad Khan, Khan Waseem A
exaly
Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind
Symmetry, 2020Lee-Chae Jang, Taekyun Kim, D S Kim
exaly