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 three-d area from its integrals over a kinfolk of hetero strains which are turbines of cones, i.e., an inversion challenge for the ray rework with incomplete info. This challenge is hooked up with an auxiliary challenge of analytic continuation and is strongly ill-posed. A distinctiveness theorem and conditional balance estimates for an answer are received.

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Additional info for A Certain Inversion Problem for the Ray Transform with Incomplete Data

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Implicit and Explicit Authorizations The ORION authorization model allows the derivation of new authorizations from those specified by the users. , the authorization to write an object implies the authorization to read the object), as expressed in the respective lattices. 30 C H A P T E R 2. ACCESS CONTROLS IN O 0 DATABASE S Y S T E M S Authorizations specified by users are called explicit, whereas authorizations derived by the system are called implicit. Beside this classification, two other orthogonM classifications are introduced.

On the basis of the implication relationship, and therefore of the role lattice, a partially ordered relationship (>) is defined on all subjects as follows: Given two subjects s~ and s j, s~ > sj if an impfication rink exists directed from si to sj in the role lattice; si > sj if s~ = sj or si :> s 3 or there exist subjects sl, s ~ , . , sn such that si > sl > 82 > ... > sn > sj. 2, we have Super_user > Chief_accountant > Accountant > Employee. Objects The ORION authorization model considers the following objects as objects to be protected: databases, classes in the database, instances of classes and their components (attributes, values, and methods).

O n such t h a t oi > ol > o2 > ... > on > oj. Access modes T h e m o d e l considers the following access modes: 9 Write ( W ) to write to an object. 9 Write_Any ( W A ) it is analogous to the Write access mode. It allows writes to an II The nodes shown in italics correspond to authorization objects representing a set of objects of the next lower level. 4. D I S C R E T I O N A R Y A C C E S S C O N T R O L 27 System l Database Class 1 Set@instances Instance Seto]-Attribute- Values 1 Attribute-Value F i g u r e 2,3: A n e x a m p l e of an a u t h o r i z a t i o n o b j e c t s c h e m a object.

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