We present a formulation of mean-field approximation for layered feed-forward stochastic networks. In this formulation, one can obtain not only estimates of averages for state variables of the networks but also those of intra-layer correlations, the latter of which cannot be obtained by the conventional mean-field approximation. Moreover, this formulation provides a framework to treat “conditio...

................................................................................V DECLARATION OF ORIGINALITY ........................................... VII ACKNOWLEDGEMENTS........................................................... IX TABLE OF CONTENTS.............................................................. XI TABLE OF FIGURES.................................................................

Background: Effects of electromagnetic fields on healing have been investigated for centuries. Substantial data indicates that exposure to electromagnetic field can lead to enhanced healing in both soft and hard tissues. Helmholtz coil is a device that generates pulsed electromagnetic fields. Objective: In this study, a pair of Helmholtz coils for enhancing thehealing process in periodontitis w...

background : effects of electromagnetic fields on healing have been investigated for centuries. substantial data indicates that exposure to electromagnetic field can lead to enhanced healing in both soft and hard tissues. helmholtz coil is a device that generates pulsed electromagnetic fields. objective : in this study, a pair of helmholtz coils for enhancing the healing process in periodontiti...

abstract background: given the fact of irrecoverable consequences of noise in industrial societies and the environment, acoustic filter (silencer) is an instrument which obstacles the transmission of sound waves. a sort of this silencer is helmholtz resonator (branch amplifier) which comes to sound appropriate for low and below 200 hz frequencies in fan and channel noise. the purpose of this ar...

Liqun Liu ([email protected]) Susanne Breitner ([email protected]) Xiaochuan Pan ([email protected]) Ulrich Franck ([email protected]) Arne Marian Leitte ([email protected]) Alfred Wiedensohler ([email protected]) Stephanie von Klot ([email protected]) H.-Erich Wichmann ([email protected]) Annette Peters (peters@helmhol...

‎Radial basis functions (RBFs) are a powerful tool for approximating the solution of high-dimensional problems‎. ‎They are often referred to as a meshfree method and can be spectrally accurate‎. ‎In this paper, we analyze a new stable method for evaluating Gaussian radial basis function interpolants based on the eigenfunction expansion‎. ‎We develop our approach in two-dimensional spaces for so...