Gamma型算子的收敛速度

对Gamma算子的变形,得到新的Gamma型算子.证明了新的Gamma型算子对导数是有界变差函数的逼近,得到了其点态逼近速度.     

Gamma算子加权逼近下的Stechkin-Marchaud不等式

本文利用K-泛函和光滑模的等价关系,研究Gamma算子加权逼近下的Stechkin-Marchaud不等式,并得到了Gamma算子关于ωψ2 (f,t) w的逆结果.     

Gamma算子在Lp空间的逼近等价定理

研究Gamma算子在Lp空间中的逼近性质。利用逆定理中常用的插补空间和K-泛函及光滑模的方法,建立整体逼近的等价定理,同时还给出了该算子的其他一些逼近性质．     

修正的Baskakov型算子的点态逼近性质

在Gupta和Arys所研究的修正的Baskakov型算子Bn(f,x)关于有界变差函数的逼近性质的基础上．利用构造度量函数等方法，进一步讨论了算子到Bn(f,x)关于局部有界函数的点态逼近性质，不仅拓广了所研究的函数类．并且得到其收敛阶的更精确的估计．     

一类Kantorovich型算子逼近阶的另一种估计

在CHEN和ZENG的研究基础上,利用概率论的相关结论及分析方法重新对一类Kantorovich型算子对局部有界函数的逼近阶进行计算,得到了另一种形式估计式．为研究这一类算子的逼近性质提供另一种思路,并且该估计式也具有相应的精确度．     

二元三角插值算子的强性逼近

主要研究了由三角插值算子出发构造的二元离散形式Marcinkiewicz型和的强性逼近的估计式,即二元三角插值算子的（p,p）阶r次强性逼近问题,得到了强性逼近的估计式,推广了一些文献中的结论．     

推广的Stancu算子的A-统计逼近

引入了一类推广的stancu算子,用Korovkin型统计逼近定理研究了这些算子的统计逼近性质,借助光滑模得到了这类stancu算子逼近度的估计.     

Meyer-Konig-Zeller积分型算子在Orlicz空间中的逼近定理

研究Mey6r－Konig－Zeller积分型算子在Orlicz空间中的逼近问题,得到了逼近阶的一个估计,改进了文献[l]的一个结果．     

修正的q-Stancu—Beta算子的加权统计逼近性质

基于q-整数的定义,引入了一类修正的q-Stancu—Beta算子,由算子的各阶矩量、中心矩量及加权光滑模结合统计逼近的概念,得到了算子的加权统计收敛定理,并研究了算子的局部逼近性质,得到了算子的局部逼近定理．     

一类正线性算子的加权统计逼近性质

本文对q-Phillips算子进行研究,得到q-Phillips算子的加权统计逼近性质和一个Korovkin型收敛定理。     

Intelligence and the tuning-in of brain networks

The phase-synchronization of Gamma-band oscillations has been postulated as a mechanism of “network binding” and implicated in various aspects of perception, memory, and cognition. The current study investigates a possible link between Gamma synchrony and individual differences in intelligence within the theory of fluid and crystallized intelligence, with due reference to Hebbian theory. The hypothesis is that there are significant correlations between cognitive performance and synchronous Gamma activity across diverse brain regions. EEG data were recorded from 35 healthy participants, and the peak magnitude and latency of early and late Gamma Synchrony were extracted using a method for quantifying phase synchronization across multiple sites. Participants also completed 11 diverse cognitive ability tests tapping fluid and crystallized intelligence. Overall, moderate-sized correlations were obtained between accuracy and speed composite scores, derived from the ability tests, and magnitude and latency indices of Gamma synchrony. Phase-synchronous Gamma activity provides a plausible physiological mechanism that might account for individual differences in cognitive abilities.     

一对较精密的Hilbert型算子不等式

使用改进的Euler—Maclaurin求和公式求得一带范数的Hilbert型线性算子．作为其应用,得到了一对新的、较精密的、等价的、带最佳常数因子的Hilbert型不等式．     

关于阶乘数的一组恒等式

利用埃尔米特多项式的一些性质,得到了关于阶乘数的一个非常有趣的恒等式,并由此得到了Γ函数的一个恒等式.     

Statistical extremes and peak factors in wind-induced vibration of tall buildings

In the structural design of tall buildings, peak factors have been widely used to predict mean extreme responses of tall buildings under wind excitations. Vanmarcke’s peak factor is directly related to an explicit measure of structural reliability against a Gaussian response process. We review the use of this factor for time-variant reliability design by comparing it to the conventional Davenport’s peak factor. Based on the asymptotic theory of statistical extremes, a new closed-form peak factor, the so-called Gamma peak factor, can be obtained for a non-Gaussian resultant response characterized by a Rayleigh distribution process. Using the Gamma peak factor, a combined peak factor method was developed for predicting the expected maximum resultant responses of a building undergoing lateral-torsional vibration. The effects of the standard deviation ratio of two sway components and the inter-component correlation on the evaluation of peak resultant response were also investigated. Utilizing wind tunnel data derived from synchronous multi-pressure measurements, we carried out a wind-induced time history response analysis of the Commonwealth Advisory Aeronautical Research Council (CAARC) standard tall building to validate the applicability of the Gamma peak factor to the prediction of the peak resultant acceleration. Results from the building example indicated that the use of the Gamma peak factor enables accurate predictions to be made of the mean extreme resultant acceleration responses for dynamic serviceability performance design of modern tall buildings.     

有界线性算子数值域的一种新定义

在B(h)上定义一种内积的前提下，讨论了B(h)中的算子T的tr-数值域的部分基本性质，并分别给出了算子T是自伴算子和迹类算子的充分必要条件。     

赋值格为险象识别格的一种非经典逻辑系统K#(Ⅱ)

研究赋值格为非线性序的一种非经典逻辑低矺#.在该系统中,格结构不同于Boole代数,蕴涵算子→取Kleene-Dienes算子RKD.得到若干结果,特别是K#-准重言式恰是经典命题逻辑C2中的重言式,从而也等于C2中的定理,即QT(K#)=T(C2)=Φ├ .     

抛物障碍问题的余量型后验误差估计

1 Introduction Since the finite element method was proposed ,there has been plenty of work about it (see [1 -4]) .They deeply analyzed and studied the finite elementmethod and gave us the feasibility of it on the theoryside . On the practice side ,the finite element methodhas successfully solved various problems ,especiallyinphysical and engineering fields[5 ,6]. Variational inequalities appear in a variety of nonlin-ear physical models .In particular ,variational inequali-ties have been used…     

谐振子任意次幂坐标算符矩阵元的相干态计算

利用相干态和正规乘积对谐振子任意次幂坐标算符X^^1。矩阵元进行了讨论，导出了计算X^^1矩阵元的一般公式，为处理谐振子的微扰问题提供了一种新的方法。     

服从Γ-分布的随机变量函数的分布

本文研究服从Γ-分布的随机变量函数的分布,得到了服从广义t-分布和广义F-分布的随机变量.     

Banach空间中非线性二元算子方程组的迭代求解及其应用

在较弱的条件下，利用非线性泛函分析中的锥理论和单调迭代的方法，首先建立了Banach空间中的一类新的非线性二元算子方程组解的存在唯一性定理，并给出了逼近解的迭代序列的误差估计式；然后作为应用，得到了Banach空间中的Volterra型一阶非线性积分一微分方程组初值问题的解，改进并推广了最近的一些结果．