查询词典 generalized function

With the aid of positive Boolean function descriptions, the generalized morphological filters are expressed as a kind of stack filters.

借助于正布尔函数的描述，将广义形态滤波器表示成一种层迭滤波器。

The generalized deformation equations and the distribution function of branch vector are derived, and the mathematical characteristics of fabric tensor N are also discussed.

在此基础上导出了形变方程的一般形式，对技向量的分布函数进行了理论上的推导，还对组构张量N的一般数学特征进行了讨论。

The boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function uses Cauchy integral formula as the foundation . The singularity of the Cauchy

广义解析函数的Riemann-Hilbert边值问题的边界元方法是以Cauchy公式为基础，Cauchy核具有奇性，这是所面临的困难，可以设法利用Cauchy主值积分来解决，最后给出问题的解。

Generalized Chebyshev function filter with transmission zeros in any-where has the advantage of high .

可以任意引入传输零点的广义切比雪夫函数滤波器，具有矩形系数高、带宽窄、功率容量大等优良性能，是目前国内外研究的热点。

In order to improve the validity of identifi cation of digital image origin and predetermine accurately threshold of identification,a new probability density function of generalized chi square distribution is constructed within0,1 for asymmetrical distribution of noise correlation.

为了提高鉴别数字图像来源的正确性，正确设置判别阈值，针对噪声相关性的非对称分布，在0，1区间构造了一个广义chi平方分布的新函数，并提出了一种利用广义chi平方分布来描述噪声相关性的非对称分布和利用广义高斯分布来描述噪声相关性的对称分布的新方法。

Longitudinal and correlated data are commonly modeled with generalized linear mixed models which contain both fixed and random effects. The source of the random effect may come from the genetic heredity, familial aggregation, or environmental heterogeneity. The inference of its variance component is usually difficult due to the dimension of its covariance matrix and the complexity of the likelihood function.

在生物医学统计中常接触到具有相关性的资料，这些相关性可能是基因、环境、重复测量或是时间所造成的；在这一类型的研究中，我们通常不只对治疗的效用有兴趣，观测值的变异以及观测值之间的相关性亦可能是我们所关注的量，这些变异或相关形式都可以被称为变异数成份。

By means of the complex variable function method and introducing the conformal transformation,the plane elasticity problem about static crack of a finite width strip with a single edge crack is analyzed further and the exact solutions to the SIFs are found out and generalized to dynamics.

利用复变方法，通过构造适当的保角映射，分析了有限宽单边裂纹带中静态裂纹的平面弹性问题，给出应力强度因子的精确解，并将其推广到动力学。

Generalized strong vector variational-like inequalities; Minty's lemma; KKM mapping; pseudomonotone; Ky Fan lemma; open mapping theorem; complete; the second category; conjugate; proper convex lower semicontinuous function; linear mapping; closedness

基础科学，数学，数学分析广义强向量似变分不等式； Minty引理； KKM映象；伪单调； Ky Fan引理；开映射定理；完备；第二纲；共轭；真凸下半连续函数；线性映射；闭性

In the first charpter,response variable is generalized to q dimensions, we propose the concept of QMLE and quasi function in nonlinear models, then under mild conditions, we prove that there exists the solution_n with probability 1 for sufficiently large n, and obtain the strong consistency, some results of asymptotic normality, meanwhile consistent estimator of σ~2 for QMLE for heterosedastic nonlinear models is presented.

在第一章中，我们首先将响应变量由一维推广到了多维，得出了非线性模型的极大拟似然估计的定义和拟似然方程，然后在一定的条件下，证明了当样本量n充分大时，拟似然方程以概率1有解？？_n且收敛于参数的真值(即定理1.2)，并且给出了极大拟似然估计的渐近正态性(即定理1.3，1.4)，最后考虑了异方差非线性模型的离差参数σ~2的相合估计(即定理1.5)。

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。