A Certain Inversion Problem for the Ray Transform with by Begmatov A. K.

By Begmatov A. K.

The matter is taken into account of reconstructing a functionality in third-dimensional house from its integrals over a relations of hetero traces which are turbines of cones, i.e., an inversion challenge for the ray remodel with incomplete facts. This challenge is attached with an auxiliary challenge of analytic continuation and is strongly ill-posed. A strong point theorem and conditional balance estimates for an answer are bought.

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Finally, the performance of the algorithm could be improved if segments are dropped out when they are completed. This optimization is useful when there are more keys than processors. 7 into a form similar to the iterative version described in the previous section, with the optimization of dropping out sorted segments. All the operations necessary to implement the sort are defined unsegmented and the programmer never has to see a segment flag. 6 Allocating Elements This section illustrates another use of the scan operations.

Not all problems can be conveniently solved with serial control, but because of its advantages, one should stretch its use as broadly as possible. Primitive Operations As mentioned earlier, the primitives of a vector model are parallel—they operate on a collection of values. In contrast, the primitives of a P-RAM model are serial—as with the RAM model, they operate on a fixed number of scalar values—and the parallelism comes from applying the serial primitives in parallel. Supplying parallel primitives has two effects.

7 Long Vectors and Load Balancing Up to now we have assumed that a P-RAM always has as many processors as elements in our data vectors. In this section we remove this assumption and discuss assigning multiple data elements to each processor. We also discuss how scans can be used for load balancing—keeping the number of elements assigned to each processor balanced. Simulating multiple elements on each processor is important for two reasons.

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