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Iterated Integral-Transform Trial Functions
Journal of Mathematical Physics, 1971The concept of iterated integral-transform trial functions is introduced. Its formal correspondence with the iterative solution of integral equations is established. Extensions and generalizations are indicated, and some of the advantages of the approach are discussed.
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ITER Divertor System Integration
Fusion Science and Technology, 2009The main function of the ITER divertor system is to exhaust the major part of the alpha particle power as well as helium and impurities from the plasma. In order to fulfil these functions a divertor, a cooling system, a high vacuum pumping system, diagnostics and a gas injection system need to be integrated into the lower part of the vacuum vessel and ...
A. Martin +12 more
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Iterated integrals of polynomials
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hetmaniok, Edyta +3 more
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ITER diagnostics: Integration and engineering aspects
Review of Scientific Instruments, 2004ITER diagnostic equipment is integrated in six equatorial and 12 upper ports, five lower ports, and the 16 divertor cassettes directly in front of them, and at many locations in the vacuum vessel. The integration has to satisfy multiple requirements and constraints and at the same time must deliver the required diagnostic performance.
Walker, C. +6 more
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Zeros of Iterated Integrals of Polynomials
Canadian Journal of Mathematics, 1995AbstractThe operator Im is defined as m-fold indefinite integration with zero constants of integration. The zero distribution of Im(p) for polynomials p is studied in general, and for two special classes of polynomials in detail. The main results are: (i) The zeros of In(Pn), where Pn(𝑧) is the n-th Legendre polynomial, converge to a certain algebraic ...
Borwein, Peter B. +2 more
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ITER-FEAT divertor maintenance and integration
Fusion Engineering and Design, 2001This paper presents the design status of the maintenance and integration of the ITER-FEAT divertor. It also includes the first results of a study showing how the in-vessel viewing system could be integrated at the divertor level. The studies are on-going, but already preliminary practical layouts have been produced.
Martin, E. +15 more
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Iterated Integral Operators in Clifford Analysis
Zeitschrift für Analysis und ihre Anwendungen, 1999Integral representation formulas of Cauchy-Pompeiu type expressing Clifford-algebra-valued functions in domains of \mathbb R^m through its boundary values and its first order derivatives in form of the Dirac operator are iterated in order to get ...
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Dirichlet and Fresnel Integrals via Iterated Integration
Mathematics Magazine, 2005(2005). Dirichlet and Fresnel Integrals via Iterated Integration. Mathematics Magazine: Vol. 78, No. 1, pp. 63-67.
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Integration of unspecified functions and families of iterated integrals
Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, 2013An algorithm for parametric elementary integration over differential fields constructed by a differentially transcendental extension is given. It extends current versions of Risch's algorithm to this setting and is based on some first ideas of Graham H.
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Numerical evaluation of iterated integrals related to elliptic Feynman integrals
Computer Physics Communications, 2021Moritz Walden, Weinzierl Stefan
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