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An object belonging to a class is a of if it does not belong to any subclass of . An object is a of a class if it is a direct member of or is a direct member of some subclass of . One of the advantages of object-oriented data models [BM93] compared to other data models is that they support a direct representation of real-world domains. These models directly represent the structure and behavior ...

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c-Frames and c-Bessel mappings

The theory of c-frames and c-Bessel mappings are the generalizationsof the theory of frames and Bessel sequences. In this paper, weobtain several equivalent conditions for dual of c-Bessel mappings.We show that for a c-Bessel mapping $f$, a retrievalformula with respect to a c-Bessel mapping $g$ is satisfied if andonly if $g$ is sum of the canonical dual of $f$ with a c-Besselmapping which  wea...

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T C C C

I discuss recent progress in developing and exploiting connections between SAT algorithms and circuit lower bounds. The centrepiece of the article is Williams’ proof that NEXP * ACC0, which proceeds via a new algorithm for ACC0-SAT beating brute-force search. His result exploits a formal connection from non-trivial SAT algorithms to circuit lower bounds. I also discuss various connections in th...

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T C P  C C++

Using a C++ compiler, any partial recursive function can be computed at compile time. We show this by using the C++ template mechanism to define functions via primitive recursion, composition, and μ-recursion.

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C*-Extreme Points and C*-Faces oF the Epigraph iF C*-Affine Maps in *-Rings

Abstract. In this paper, we define the notion of C*-affine maps in the unital *-rings and we investigate the C*-extreme points of the graph and epigraph of such maps. We show that for a C*-convex map f on a unital *-ring R satisfying the positive square root axiom with an additional condition, the graph of f is a C*-face of the epigraph of f. Moreover, we prove som...

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(C; C\')-Controlled g-Fusion Frames in Hilbert Spaces

Controlled frames in Hilbert spaces have been recently introduced by P. Balazs and etc. for improving the numerical efficiency of interactive algorithms for inverting the frame operator. In this paper we develop a theory based on g-fusion frames on Hilbert spaces, which provides exactly the frameworks not only to model new frames on Hilbert spaces but also for deriving robust operators. In part...

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Journal title

volume 6  issue None

pages  9- 15

publication date 2001-03

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