The Mechanical Quadrature Methods with the High Accuracy and Splitting Extrapolations for Solving Boundary Integral Equations of the First Kind of Scientific and Engineering Problems on Nonsmooth Domains
Given the filter specifications(passband edge frequency f_p,stopband edge frequency f_s,maximum attenuate in passband A_(max),minimum attenuate in stopband A_(min),and sample frequency f_a),the coefficients of transfer function of filter,amplitude frequency value,phrase frequency value,and,amplitude frequency curve can soon be obtained.
Given the filter specifications (passband edge frequency f_p, stopband edge frequency f_s, maximum attenuate in passband A_(max), minimum attenuate in stopband A_(min), and sample frequency f_a), the coefficients of transfer function of filter, amplitude frequency value, phrase frequency value, and, amplitude frequency curve can soon be obtained.
The main idea for our approach relies on a study of the boundary theory we established for the general CAT(-1) spaces.
LetD be a Hermitian symmetric space of tube type,S its Shilov boundary andG the neutral component of the group of bi-holomorphic diffeomorphisms ofD.
Taking a specific determination of its argument and studying its limit when approaching the Shilov boundary, we are able to define a ?-valued,G-invariant kernel for triples of mutually transversal points inS.
For every orbitGυ which is not polynomially convex we construct an analytic annulus or strip inG?υ with the boundary inGυ.
Such properties are expressed using the Furstenberg boundary of the associated symmetric space ? × ?.
A Discrete Wavelet Transform without edge effects using wavelet extrapolation
Commonly used techniques such as circular convolution and symmetric extension can produce undesirable edge effects which propagate into the interior of the transformed data as the number of DWT iterations increases.
In this paper, we clarify exactly how "bad" such Gabor expansions are, we make it clear precisely where the edge is between "enough" and "too little," and we find a remedy for their shortcomings in terms of a certain summability method.
A fixed double (single) bond of a Kekuléan benzenoid systemH is an edge belonging to all (none) of the Kekulé structures ofH.
Furthermore, its connectivity, diameter and transitivity (vertex-, edge-) are also determined.
It is transferred to a boundary value problem for analytic functions and then further reduced to a singular integral equation, the unique solvability and an effective method of solution for which are established.
Note on a boundary value problem of poisson's equation
A boundary element method for a nonlinear boundary value problem in steady-state heat transfer in dimension three
Moreover, a boundary element method is presented for its solution and the error estimates of the numerical approximations are given.
Calculating aggregation index by the sample-plot data used to lead to computing error due to the existence of a boundary effect.
In this paper some cases of optimum control are studied when the conditions at the ends of trajectories are constrainted. The boundary conditions of the system of the differential equations (19), (22), etc. are determined; the formulae of functional variation (20) are derived; and the sufficient conditions of optimality and necessary conditions in some cases are proved.
The differential equation for relaxation oscillation with external impressed e.m.f. is written as
张弛振动之代表算式为一非直线的二次微分方程式在数学上至今未获完全解答颇耳氏(Van der Pol)曾以半解算半作图之方法研究强弛振动,但共方法仅能用於无外加控制电压之情形下故控制影响未能解说本文叙述用罗勃氏(A.A.Bobb)作图方法解析张弛振动之问题,自由振动与控制振动均可应用文中叙明通常之起始条件如何不适宜於作图及如何试设一边界条件而得正确之结果用此方法张弛振动之普通特性与频率减倍之现象,均能解说控制波与强弛振动波之相的关系,亦曾加以讨论所设对称的三次抛物线形之振动特性,未能完满解释偶谐控制波之控制功效
In this paper the direct moment diatribution method has been developed to determine the natural frequencies of rigid frame structures.