Euclidean Quadratic Forms and ADC Forms I [PDF]
, 2011 Motivated by classical results of Aubry, Davenport and Cassels, we define the notion of a Euclidean quadratic form over a normed integral domain and an ADC form over an integral domain.
Clark, Pete L.
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A new closed-form formula for calculating a weakly singular static potential integral with linear current source distribution on a triangle [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2023 The article presents a closed-form formula for solving a weakly singular surface integral with a linear current source distribution associated with the SIE-MoM formulation used for solving electromagnetic (EM) problems.
Anna Grytsko, Piotr Słobodzian
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Remarks on derivations on semiprime rings
International Journal of Mathematics and Mathematical Sciences, 1992 We prove that a semiprime ring R must be commutative if it admits a derivation d such that (i) xy+d(xy)=yx+d(yx) for all x, y in R, or (ii) xy−d(xy)=yx−d(yx) for all x, y in R.
Mohamad Nagy Daif, Howard E. Bell
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Analysis of segregated boundary-domain integral equations for mixed variable-coefficient BVPs in exterior domains [PDF]
, 2011 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2011 Birkhäuser Boston.Some direct segregated systems of boundary–domain integral equations (LBDIEs) associated with the mixed
B. Hanouzet +17 more
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Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D [PDF]
, 2012 This is the post-print version of the article. The official published version can be accessed from the links below - Copyright @ 2013 Springer-VerlagA numerical implementation of the direct boundary-domain integral and integro-differential equations ...
A Stroud +19 more
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High-order, Dispersionless "Fast-Hybrid" Wave Equation Solver. Part I: $\mathcal{O}(1)$ Sampling Cost via Incident-Field Windowing and Recentering [PDF]
, 2020 This paper proposes a frequency/time hybrid integral-equation method for the time dependent wave equation in two and three-dimensional spatial domains.
Anderson, Thomas G. +2 more
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Integrally Closed Subrings of an Integral Domain [PDF]
Transactions of the American Mathematical Society, 1971 Let D be an integral domain with identity having quotient field K. This paper gives necessary and sufficient conditions on D in order that each integrally closed subring of D should belong to some subclass of the class of integrally closed domains; some of the subclasses considered are the completely integrally closed domains, Prufer domains, and ...
Gilmer, R., Mott, J.
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On locally divided integral domains and CPI-overrings
International Journal of Mathematics and Mathematical Sciences, 1981 It is proved that an integral domain R is locally divided if and only if each CPI-extension of ℬ (in the sense of Boisen and Sheldon) is R-flat (equivalently, if and only if each CPI-extension of R is a localization of R).
David E. Dobbs
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Exponents, symmetry groups and classification of operator fractional Brownian motions [PDF]
, 2011 Operator fractional Brownian motions (OFBMs) are zero mean, operator self-similar (o.s.s.), Gaussian processes with stationary increments. They generalize univariate fractional Brownian motions to the multivariate context.
Didier, Gustavo, Pipiras, Vladas
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Generalization to The AMK Integral Transform and Its Applications [PDF]
مجلة جامعة الانبار للعلوم الصرفةSince the proposal of Laplace to integral transformation in 1780, many integral transformations have been proposed. Some are based on Laplace, and others are totally independent.
Mohanad Salman, Qin Zhao
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