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Showing 1 to 20 of 34 for “"integral representation"”.
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On the Semisimplicity of Integral Representation Rings
Made available in DSpace on 2014-12-09T22:17:58Z (GMT). No. of bitstreams: 1 7021093.pdf: 2152387 bytes, checksum: fbc98df36e226d31cfce90408c528211 (MD5) Previous issue date: 1970
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Integral Representation by Boundary Vector Measures, and Applications
Made available in DSpace on 2014-12-14T13:09:43Z (GMT). No. of bitstreams: 1 8004266.pdf: 2391882 bytes, checksum: b704ec1a37ad21429c1497f6c94be384 (MD5) Previous issue date: 1979
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Retrieval of equivalent currents by the use of an integral representation and the extinction theorem --- radome applications
… source problem. The approach is based on an integral representation together with the extinction theorem. Both a scalar and a full-wave integral representation are implemented and solved by a Method of Moment procedure. The body of revolution enables usage of a Fourier transform to reduce the …
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Asymptotic Properties Of Polynomials Orthogonal Over Multiply Connected Domains
… the construction of a series expansion and an integral representation for these polynomials. We show that the integral representation can be utilized to derive more specific results when the domain of orthogonality is circular. In this case, we shed light on the manner in which the holes in the …
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Spherical wave reflection and transmission
… computation, and experimental tests. A new integral representation for a spherical wave is obtained by transforming Lamb/Sommerfeld's integral representation. The new integral has no singularity so it allows more accurate numerical integration. A new proof of Lamb/Sommerfeld's integral …
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Konstruktion rationaler Darstellungen endlicher Gruppen
This work developes a new method to construct integral representaions of a finite group G. Starting point are the modular constituents of this representations for a prime p. An algorithm described in this work will construct an approximative representation over the p-adic integers. The construction …
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O método dos elementos de contorno aplicado à propagação transiente tridimensional de ondas
… code was developed to solve numerically the integral equation for three-dimensional scalar wave equation (Kirchhoff integral representation). The influence in the numerical solution of employing different time interpolation functions for boundary variables, and analisis of the best choice of …
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Triple Trigonometric Series and Their Application to Mixed Boundary Value Problems
… and potential theory. By choosing a suitable integral representation for the sequence of unknown constants, the problem is reduced to solving a singular integral equation of the first kind. Twenty four cases in which the integral equation can be solved in closed form are discussed in …
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A novel boundary element method for low Reynolds number external flow of biological fluid dynamics
… 2013) is detailed and elaborated upon. Aboundary integral representation that matches an outer Oseen flow and inner Stokes flow is given, and the matching error is shown to be smallest when the outer domain is as close as possible to the body. Also, it is shown that as the origin of the Green's …
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Geometric Aspects of Supersymmetric Partition Functions
… index. In the final chapter we provide a contour integral representation of the based P 1 index by studying the 3d twisted index on a hemisphere. We illustrate the supersymmetric boundary conditions for the hemisphere geometry. We show that the contour integral representation naturally arises as …
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Schur-class of finitely connected planar domains: the test-function approach
… some prescribed point t₀ ∈ 𝐑. This leads to an integral representation for such functions more general than what would be expected from the result for the scalar-valued case. After Cayley transformation, this leads to a integral Agler decomposition for the matrix Schur class over 𝐑 (holomorphic …
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Construction of a Non-Standard Integral on AC [0, 1]
… into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an …
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Construction of a non-standard integral on AC [0, 1]
… into the development and proof of the Riesz Representation Theorem. After this a new function space and a new norm are presented. A dense subset is extracted and used to approximate the functions in the new space. These approximations are used to define a nonstandard integral and an …
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Initial and boundary value problems in two and three dimensions
… For linear PDEs, the new method yields a novel integral representation of the solution in the spectral (transform) space; this representation is not yet effective because it contains certain unknown boundary values. However, the new method also yields a relation, known as "the global relation", …
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ΣΚΕΔΑΣΗ ΘΕΡΜΟΕΛΑΣΤΙΚΩΝ ΚΥΜΑΤΩΝ ΣΕ ΣΥΝΘΕΤΑ ΥΛΙΚΑ ΚΑΙ ΠΡΟΣΔΙΟΡΙΣΜΟΣ ΤΩΝ ΘΕΡΜΟΜΗΧΑΝΙΚΩΝ ΤΟΥΣ ΙΔΙΟΤΗΤΩΝ
… FIELD HOLDS AT INFINITY. ALSO IS GIVING THE INTEGRAL REPRESENTATION OF THE PROBLEM. VIA ASYMPTOTIC ANALYSIS OF THESE INTEGRAL REPRESENTATIONS, NORMALIZED SPHERICAL SCATTERING AMPLITUDES ARE INTRODUCED FOR THE DISPLACEMENT AS WELL AS THE TEMPERATURE FIELD. THE THERMOELASTIC SCATTERING CROSS …
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Geometrically nonlinear analysis for an elastic body by the boundary element method
… undergoing large deformations. The nonlinear integral relationships for the problem are described and presented in detail according to a total Lagrangian approach. The domain is discretized by quadratic boundary elements and interior cells and the displacements of all interior nodes are …
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Topics in Combinatorics and Random Matrix Theory
… Toeplitz determinant identity, and Rains' integral representation. The double scaling limit (Baik-Deift-Johansson theorem) is briefly described, although we have no new results in that direction. Following up on the appearance of determinantal generating functions in increasing subsequence …
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The Measurement Problem within Quantum Mechanics on a Non-commutative Plane
… The formalism is then extended to the path integral representation, where the noncommutative structure modifies the classical action and introduces damping of non-classical paths. In the macroscopic limit, this leads to the dominance of classical trajectories to the transition amplitude …
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Complex boundary integral techniques for turbomachinery blading
Integral equation techniques are used to solve interior and exterior (including cascade) Neumann problems. The equations are in terms of the boundary values of the derivatives of the harmonic function sought. The equations are derived using the complex variables forms of Green’s theorem. They are …
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Modelling the Endothelial Glycocalyx Layer
… lined with an EGL. We describe a new boundary-integral representation for Biphasic Mixture Theory, which allows us to efficiently solve elastohydrodynamicmobility problems using Boundary Element Methods. In this context, we examine the impact of geometry upon creation of viscous eddies, fluid …
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