有限函数

Starting from the spectral representation of quasi-particles, when Debye screening mass and finite width of the particle are taken as parameters into the spectral functions, we will get effective propagators of quarks and gluons, and then establish the effective perturbation theory which reflects directly collective effects in QGP, and analyse some thermodynamics problems about soft partons in QGP.

接着，从准粒子的谱表示出发，自洽地将Debye屏蔽质量和粒子的有限宽度作为参量纳入QGP中玻色型和费米型准粒子的谱函数，得到夸克胶子等离子体中胶子和夸克的有效传播子，进而建立了直接反映QGP集体效应的有效微扰论，藉此一般性地分析了夸克胶子等离子体中软粒子的有关热力学问题。

An on-line blind source separation algorithm of non-stationary mixed signals is presented. The algorithm uses the multiple time-delayed decorrelation and natural gradient rule to obtain the stationary point of the cost function, only a small number of observed samples is needed to minimize the Frobenius norm of the correlation matrices, so the computing cost is low and continuous separation calculation could be realized by on-line operation.

利用一种基于多时延解相关准则的代价函数和自然梯度原则，分别推导出非平稳信号在瞬态线性混合及卷积混合情况下的在线盲分离算法，仅通过对有限个时延样本的相关矩阵进行Frobenius范数最小化运算得到分离矩阵，计算工作量小，无需对样本进行分块处理，可实现对信号的连续跟踪操作。

In each period, without the knowledge of the distribution function of the time between failures and the repair time, the PA estimate of gradient of performance function is put into the stochastic approximation algorithm which recursively optimize the threshold value of the flow control model in a manufacturing system.

在分析过程中，对故障时间和工作时间的分布不做任何假设，利用自适应控制的思想，将整个样本路径依据一定的规则分成有限长的时间段，在每一段时间内用扰动分析估计目标函数的样本导数，然后用随机逼近算法渐进地估计流程控制问题中的最优阈值，从而实现了阈值的自适应控制。

Based on definition of strain energy function,increment formula of stationary potential energy of finite displacement theory were derived in terms of Kirchhoff stress tensor and Green strain tensor.

基于有限位移理论应变能密度函数的定义，利用Kirchhoff 应力张量和Green应变张量，推出了非线性分析中增量形式的势能驻值公式，并证明了由势能增量驻值原理得到的增量平衡方程形式与由虚位移原理所得的结果完全一致。

Numerical examples show that the introduce of the bubble function can improve the accuracy and efficiency of Compound Finite Strip Method .

算例表明，引入气泡函数，可以提高复合有限条法的求解精度和求解效率。

Based on nonsmooth analysis theory, the viability criterion is verified under the condition that the set-valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points.

当右端集值映射为多面体，边界为次可微函数，且次微分为有限点集凸包时，基于非光滑分析理论，给出了在一点处检验生存性条件是否成立的方法。

The solution is proved that it can be written as the sum of limited polynomial series.

通过所做的非线性函数变换，得出了考虑雷暴活动的全球电模式的近地稳态解析解，并证明其能展开为有限多项式级数之和。

Both the offset and tilted fedcoupling-slot array between the curved guide and sectoral guides and longitudinal radiating-slot array on sectoral guide are analyzed by moment method, taking into account of the effects of finite wall thickness and mutual coupling between the slots, employing the acceleration algorithms to accelerate the summation of slowly convergent series of the self-admittance of the waveguide-slot aperture, and introducing the surface Fock functions to simplify the computation of the self-and mutual coupling of the slots on the surface of cylinder.

采用矩量法分别分析弯波导与扇面波导间偏置倾斜馈电耦合缝阵和扇面波导轴向辐射缝面阵，其中计及有限波导壁厚及缝间互耦的影响，运用级数加速算法对波导中自导纳矩阵元级数进行加速处理，并引入表面Fock函数简化圆柱面上缝口面的自耦和互耦的计算。

Based on orthogonal function unfolding theory, the transverse fields can be represented as a superposition of waveguide modes. And according to coupled-wave theory, the time-dependent multi-mode coupling-wave equations (or the generalized telegrapher's equations) and the coupling coefficients among the different modes were deduced. The generalized telegrapher's equations are a set of coupled one-dimensional partial differential equations for the amplitudes of the modes.

应用正交函数的展开理论，将变截面波导中的电磁场表示为横电波和横磁波本征模式的级数；然后根据耦合波理论，推导了考虑波导金属壁有限电导率的变截面波导时域多模耦合波方程组及各模式间耦合系数的表达式。

In recent years, the trace function, as a linear transform from an extension victor space to its basic victor space, has been comprehensively employed to do researches concerning the algebra construct

近年来，迹函数作为一种从扩域向量空间到其基础域向量空间的线性变换，被广泛用于研究有限域的代数结构及序列密码的性质。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。