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Displaying 41 – 60 of 84

The relation between the dual and the adjoint Radon transforms

Cnops, J. (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]Let $P^{m}$ be the set of hyperplanes $σ : 〈 \vec{x}, \vec{θ} 〉 = p$ in $ℛ^{m}$ , $S^{m - 1}$ the unit sphere of $ℛ^{m}$ , $E^{m}$ the exterior of the unit ball, $T^{m}$ the set of hyperplanes not passing through the unit ball, $R f (\vec{θ}, p) = \int_{σ} f (\vec{x}) d \vec{x}$ the Radon transform, $R^{#} g (\vec{x}) = \int_{S^{m - 1}} g (\vec{θ}, 〈 \vec{x}, \vec{θ} 〉) d S_{\vec{θ}}$ its dual. $R$ as operator from $L^{2} (ℛ^{m})$ to $L^{2} (S^{m - 1)} \times ℛ)$ is a closable, densely defined operator, $R^{*}$ denotes the operator given by $(R^{*} g) (\vec{x}) = R^{#} g (\vec{x})$ if the integral exists for $\vec{x} \in ℛ^{m}$ a.e. Then the closure of $R^{*}$ is the adjoint of $R$ . The author shows that the Radon transform and its dual can be linked by two operators...

The role of center manifolds in ordinary differential equations

Knobloch, H. W., Aulbach, B. (1982)

Equadiff 5

The short-time propagator and the boundary conditions in the quantum mechanics

Prešnajder, P., Pažma, V. (1987)

Proceedings of the 14th Winter School on Abstract Analysis

The simple dimension of a topological space

Sobczyk, A. (1967)

General Topology and its Relations to Modern Analysis and Algebra

The solution of the initial value problem for the general dynamic equations in nonlinear elasticity under damping conditions

Beckert, Herbert (1982)

Equadiff 5

The space of mappings into the sphere and its topological applications

Kuratowski, K. (1962)

General Topology and its Relations to Modern Analysis and Algebra

The space of minimal prime ideals of a commutative ring

Henriksen, M., Jerison, M. (1962)

General Topology and its Relations to Modern Analysis and Algebra

The space $β N$ and the continuum hypothesis

Gillman, L. (1967)

General Topology and its Relations to Modern Analysis and Algebra

The superposition operator in Musielak-Orlicz spaces of vector-valued functions

Płuciennik, Ryszard (1987)

Proceedings of the 14th Winter School on Abstract Analysis

The tangent and the cotangent vector square of a pointed differential square

Przybylski, Bronisław (1993)

Proceedings of the Winter School "Geometry and Physics"

The theory of small changesin the domain of existence in the theory of partial differential equations and its applications

Babuška, I. (1963)

Differential Equations and Their Applications

The weak Dirichlet and Neumann problem for the Laplacian in $L^{q}$ for bounded and exterior domains. Applications

Simader, Christian G. (1990)

Nonlinear Analysis, Function Spaces and Applications

The wedge sum of differential spaces

Sasin, Wiesław (1991)

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]Differential spaces, whose theory was initiated by R. Sikorski in the sixties, provide an abstract setting for differential geometry. In this paper the author studies the wedge sum of such spaces and deduces some basic results concerning this construction.

The Yang-Mills gradient flow in four dimensions

Struwe, Michael (1994)

Equadiff 8

Theory of completely integrable equations

Reizinsh, L. (1990)

Equadiff 7

Three applications of differential equations in turbulence research

Hoffmeister, Manfred, Ullrich, Detlev, Dreßler, Bernd (1982)

Equadiff 5

Three dimensional modelling of the peach in MAPLE

Bartoň, Stanislav (2008)

Programs and Algorithms of Numerical Mathematics

Linearized Gauss-Newton iteration method is used to determine main axes of the three-dimensional ellipsoid approximating a peach. Three independent photos displaying the peach as ground, side, and front view are used as data sources. System MAPLE 11 was used as a computer environment. A practical example is presented in order to demonstrate the usage of all required commands. The quality of approximation is evaluated as a final part of the paper.

Three-dimensional numerical model of neutron flux in hex-Z geometry

Hanuš, Milan, Berka, Tomáš, Brandner, Marek, Kužel, Roman, Matas, Aleš (2008)

Programs and Algorithms of Numerical Mathematics

We present a method for solving the equations of neutron transport with discretized energetic dependence and angular dependence approximated by the diffusion theory. We are interested in the stationary solution that characterizes neutron fluxes within the nuclear reactor core in an equilibrium state. We work with the VVER-1000 type core with hexagonal fuel assembly lattice and use a nodal method for numerical solution. The method effectively combines a whole-core coarse mesh calculation with a more...

Topics in computer aided geometric design

Robert Barnhill (1992)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Topological aspects of conformal mapping theory

Stone, M. H. (1962)

General Topology and its Relations to Modern Analysis and Algebra

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