DELFT UNIVERSITY OF TECHNOLOGY REPORTSome Integrals Involving Products of Jacoby Polynomials and at most Two Associated Functions of the Second Kind

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Bachelor project for double bachelor program Applied Mathematics/Applied Physics Optics Research Group, Applied Physics Title: Efficient computation of diffraction integrals for applications in optical imaging systems Kn

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Summation integrals for a Green function in a 3-D inhomogeneous anisotropic medium ˇ Vlastislav Cerven´ y1) and Ivan Pˇsenˇc´ık2) 1) Charles University, Faculty of Mathematics and Physics, Praha, Czech Republic

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ON APPROXIMATIONS OF FIRST INTEGRALS FOR STRONGLY NONLINEAR OSCILLATORS S. B. Waluya †

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DELFT UNIVERSITY OF TECHNOLOGY REPORTSeven Integrals of Products of Three or Four Jacobi Functions H. van Haeringen

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Computing Integrals Lectures INF2320 – p. 1/48 Bagels We study a simple example of scientific computing.

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appe1, :20 APPENDIX E MULTIVARIATE GAUSSIAN INTEGRALS Starting from the formula it follows that

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appe1, :51 APPENDIX E MULTIVARIATE GAUSSIAN INTEGRALS

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DELFT UNIVERSITY OF TECHNOLOGY REPORTOn Approximations of First Integrals for a System of Weakly Nonlinear, Coupled Harmonic Oscillators S.B. Waluya and W.T. van Horssen

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• Curves
• Differential equation
• Ordinary differential equations
• Integral calculus

A localic theory of lower and upper integrals Steven Vickers School of Computer Science, University of Birmingham, Birmingham, B15 2TT, UK March 30, 2009

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• Mathematics
• Valuation
• Dedekind cut
• Continuous function
• Construction of the real numbers
• Algebraic number field
• Abstract algebra
• Field theory
• Algebra