导函数

In this paper, we develop generalized least absolute deviation criterion to estimate generalized linear models firstly.

由于准则函数的不可导性和均值函数的非线性性，导致研究估计的分布理论是很复杂的。

In addition, the properties and the characteristic theorems of this kind of integral are discussed by means of studying abstract functions in Banach space.

又在此导数基意义下定义了平面上模糊数值函数的Henstock积分，并利用Banach空间上的抽象函数对其进行了刻划。

Put the discrete algebraic equations of initial derivative conditions and algebraic equation system of governing differential equation together to form a new algebraic system.

采用重心Lagrange插值近似未知函数，推导了未知函数各阶导数微分矩阵的显式表达式，建立了求解二阶常微分方程初值问题的重心Lagrange插值配点法。

The derivative expression of branch energy function is deduced, which is constituted by components of each line by its own.

推导了基于支路能量函数法的能量函数导数的表达式，分别由各支路的分量表示。

The definition and stability criterion of resonant operating points in a CPT system have been described. A Poincarémapping model has been built up and its Jacobian matrix has been derived with the implicit function derivative rule and chain rule. Then the stability of the fixed points can be determined according to the eigenvalues of the the Jacobian matrix. It has been used to study an example push-pull CPT system with three resonant operating points.

文中给出了CPT系统中谐振点的定义及判断条件，建立了系统的庞加莱映射模型，并根据隐函数及复合函数求导法则，推导出了系统庞加莱映射周期不动点的雅可比矩阵，根据雅可比矩阵的特征值分布情况，即可判断各不动点的自治振荡稳定性。

After the brief retrospect of spectral methods applied to get the numerical solutions of partial differential equations, the Walsh spectral methods are extensively studied. A new method of designing the "derivate operator" and a new Walsh spectral method based on quasi-Walsh order are proposed, which primarily prove the special uses of it.

回顾了数值求解偏微分方程的谱方法，比较深入地考察了数值求解偏微分方程的Walsh谱方法，提出了一种新的设计"求导算子"的方法，基于这样设计出来的"求导算子"，提出了一种新的基于类Walsh序的Walsh函数的Walsh谱方法，初步验证了这种序的特殊价值。

Property 3 (Term-by-Term Differentiation) Suppose that is the sum of a power series on interval ;that is

性质3 幂级数的和函数在其收敛区间内可导，且有逐项求导公式

As the complete characteristic curves of reversible pump turbine are often used to calculate the instantaneous parameters, this paper studies the characteristic curve and the wicket closure and opening law in pumped storage plants.Chapter 1 presents the importance and the necessity of this study and reviews the previous related research on hydraulic transient process and valve regulation in pumped storage plants.Chapter 2 analyzes the six collected characteristic curves of reversible pumped turbine and studies their diversification from the point of view of specific speed. The six collected discharge and moment curves with maximum efficiency have been fitted to piecewise continuous curves. This curve-fitting procedure is listed.Chapter 3 takes Liyang Pumped storage plant as an example and analyzes the effect of different characteristic curves on regulation guarantee parameters and the variety of its trochoid during the same operation status.Chapter 4 takes three pumped storage plants with different heads as examples and studies the characteristic of coordinated closure with wicket gate and ball valve and its effect on dynamic pressure in the spiral case, inlet pressure in the draft tube and the rise of rotating speed.Chapter 5 summarizes this paper and point out what should be done in the future research.

由于在过渡过程分析计算中，需要频繁利用可逆式机组的全特性曲线推求机组的瞬时参数，所以本文就特性曲线及关闭规律问题进行了研究，其主要内容如下：第1章，指出本文研究的意义和目的，回顾前人对水力过渡过程、抽水蓄能电站及阀调节的研究成果，在此基础上提出本文的研究内容；第2章，针对收集到的六套特性曲线，从比转速的角度出发来研究可逆式机组特性曲线的变化规律；并对六套曲线的最高效率流量和力矩曲线进行分段拟合，得到各分段函数的具体形式，再通过举例说明最高效率曲线的拟合步骤；第3章，以溧阳抽水蓄能电站为实例，分析讨论不同比转速特性曲线对调保参数造成的影响及对于相同工况其轨迹线的变化；第4章，结合高、中、低三水头段抽水蓄能电站，在导叶直线关闭的基础上，研究导叶与球阀协联关闭规律的特点及对蜗壳动水压力、尾水管进口压力及转速上升造成的影响；第5章，总结全文，提出今后研究的重点和方向。

Based on the interference theory of light wave and Mie′s scattering, atheory of the quasi-waveguide has been developed for the first time,which,in two aspects,represents the property of the mode spectrum in aquasi-waveguide e.g.the analytic expression of the reflection intensity asa function of the incident angle,and that of the scattered intensity as afunction of the output angle.

基于平面波的光波簇干涉理论和米氏散射，发展了准波导理论，首次给出了从两个不同侧面表征准波导模谱特性的反射光强度与入射角以及散射光强度与输出角的函数关系解析式，并确认其m-线的产生源于米氏散射光及其干涉效应所致的选模作用。

This paper analyses the coupling wastage in columniform wave guide gas laser,and gives the function between the coupling wastage of laser guide modulo EH11 and the position and radius of reflector.

分析了圆柱形波导气体激光器中的耦合损耗，给出了最低阶波导模EH11的耦合损耗与反射镜位置、曲率半径的函数关系。研究表明：反射镜的位置和半径存在着最佳值，在取得最佳值时，可得到最低的耦合损耗

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。