in this paper, using a generalized translation operator, we prove theestimates for the generalized fourier-bessel transform in the space l2 on certainclasses of functions.

We report on the eeciency of queries formulated with the Hy + /GraphLog data vi-sualization system, a substantial application which utilizes the CORAL deductive database system. Hy + itself has been used in a number of application areas, including software engineering, network management, and the debugging of distributed programs. We focus on the translation of GraphLog queries to CORAL program...

In this paper we propose the design of a more robust General Game Player, able to successfully play the class of synchronous independent games using Propositional Automata, a framework for reasoning about discrete, dynamic, multiagent systems, developed by the Stanford Logic Group. We prove conditions under which a Propositional Automata represents multiple, synchronous independent subgames, an...

We present a method for jointly learning dynamic models of transcriptional regulatory networks from gene expression data and transcription factor binding location data. Models are automatically learned using dynamic Bayesian network inference algorithms; joint learning is accomplished by incorporating evidence from gene expression data through the likelihood, and from transcription factor bindi...

Recently, an alternative interval approximation F X ( ) for enclosing a factorable function f(x) in a given box X has been suggested. The enclosure is in the form of an affine interval function F X a X B i i i n ( ) = + ∑ =1 where only the additive term B is an interval, the coefficients ai being real numbers. The approximation is applicable to continuously differentiable, continuous and even d...

An approach to edge bicoloring problems for biregular bipartite graphs is applied to graphs arising from cyclic groups as well as from odd graphs. In the case of the Petersen graph, this incidentally allows solutions to the Great Circle Challenge puzzle. On the other hand, for odd n = 2k+1 > 1, a one-to-one correspondence from the family of n-cycles of Kn onto the family Ok of n-cycles of the o...

In this paper, we give the spectral theory for eigenvalues and eigenfunctions of a boundary value problem consisting of the linear fractional Bessel operator. Moreover, we show that this operator is self-adjoint, the eigenvalues of the problem are real, and the corresponding eigenfunctions are orthogonal. In this paper, we give the spectral theory for eigenvalues and eigenfunctions...

in this paper, we find explicit solution to the operator equation$txs^* -sx^*t^*=a$ in the general setting of the adjointable operators between hilbert $c^*$-modules, when$t,s$ have closed ranges and $s$ is a self adjoint operator.

We consider the transitive linear maps on the operator algebra $B(X)$for a separable Banach space $X$. We show if a bounded linear map is norm transitive on $B(X)$,then it must be hypercyclic with strong operator topology. Also we provide a SOT-transitivelinear map without being hypercyclic in the strong operator topology.