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[For the entire collection see Zbl 0742.00067.]Let be the set of hyperplanes in , the unit sphere of , the exterior of the unit ball, the set of hyperplanes not passing through the unit ball, the Radon transform, its dual. as operator from to is a closable, densely defined operator, denotes the operator given by if the integral exists for a.e. Then the closure of is the adjoint of . The author shows that the Radon transform and its dual can be linked by two operators...
[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.
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.
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...
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