in this paper, we use the riemann-liouville fractionalintegrals to establish some new integral inequalities related tochebyshev's functional in the case of two differentiable functions.

Let us review the fundamental framework of streaming. Suppose we have a stream coming in from time 0 to time T . At each time t ∈ [T ], the coming element is at ∈ [n]. Frequency for any element i is defined as mi = |{j|aj = i}|. We will see a few problems to solve under this framework. For different problems, we expect to have a complexity of only O(log n) and O(log T ) on either storage or upd...

Reports of The Rand Corporation do not necessarily reflect the opinions or policies of the sponsors of Rand research.

A robot-vision project is reported which incorporates several existing AI methods and some new results. The ambition of the project is a system which can economically complete various intelligent tasks within the scope of mi~and microcomputers. The tuned composition of the applied methods provides a new and powerful approach to Rand D engineering and workshop-operation.

In this paper, we examine Decision Graphs, a generalization of decision trees. We present an inference scheme to construct decision graphs using the Minimum Message Length Principle. Empirical tests demonstrate that this scheme compares favourably with other decision tree inference schemes. This work provides a metric for comparing the relative merit of the decision tree and decision graph form...

In this paper, we use the Riemann-Liouville fractionalintegrals to establish some new integral inequalities related toChebyshev's functional in the case of two differentiable functions.

In this paper, we first give a characterization of sub-topical functions with respect to their lower level sets and epigraph. Next, by using two different classes of elementary functions, we present a characterization of sub-topical functions with respect to their polar functions, and investigate the relation between polar functions and support sets of this class of functions. Finally, we obtai...

We prove that a large set of long memory (LM) processes (including classical LM processes and all processes whose spectral densities have a countable number of singularities controlled by exponential functions) are obtained by an aggregation procedure involving short memory (SM) processes whose spectral densities are infinitely differentiable (C∞). We show that the C∞ class of spectral densitie...

In this paper we considered some new classes of multivalent functions by using Aouf-Silverman-Srivastava operator and derived some important results using convolution and subordination technique. This new class is an extension of a class which introduced before.