An important question about black holes is to what extent a typical pure state differs from the ensemble average. We show that this can be answered within semi-classical gravity. focus on quantum deviation, which measures fluctuations in expectation value of an operator states. For large class ensembles and observables, these are calculated by correlation function eternal hole background, relia...

Although color averaging techniques are widely used in content based image retrieval system because of its computational simplicity and effective retrieval, color averaging technique still suffer in identification of different objects which share the same average color information. To overcome this limitation of color averaging technique, a new technique based on block color averaging is propos...

Three cruises with shipboard Acoustic Doppler Current Profiler (ADCP) were performed along a transect across the Peng-hu Channel (PHC) in the Taiwan Strait during 2003 2004 in order to investigate the feasibility and accuracy of the phase-averaging method to eliminate tidal components from shipboard ADCP measurement of currents. In each cruise measurement was repeated a number of times along th...

An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along the leaves of this foliation [44], [46], [38]. We review recent results on this subject and present some extensions and open questions. 2000 Math. Subj. Class. Primary 34C29; Secondary 37D30.

Systems which combine fast and slow motions lead to complicated two scale equations and the averaging principle suggests to approximate the slow motion by averaging in fast variables. When the fast motion does not depend on the slow one this approximation usually works for all or almost all initial conditions but when the slow and fast motions depend on each other (fully coupled), as is usually...

This work is about the development of an alternative way of averaging evoked potentials (EP) of cognitive activities. Since the main assumption of invariant waveforms time locked to the elict-ing events does not hold for cognitive EPs, averaging results in distorted estimates. Our alternative selective averaging nds similar subsequences of xed length with variable latency which are common to al...