函数变量

Therefore, from the theoretical point of view, a solution of the constrained problem and the corresponding values of the Lagrange multipliers can be found not only by the well known method of multipliers but also by performing a single unconstrained minimization of the Hestenes-Powell augmented Lagrangian function on the product space of problem variables and multipliers.

因此，从理论的观点来看，原约束问题的解和对应的拉格朗日乘子值不仅可以用众所周知的乘子法求得，而且可以通过对Hestenes-Powell增广拉格朗日函数在原问题变量和乘子变量的积空间上执行一个单一的无约束极小化来获得。

But what if the variable is local to the parent function?

但是如果变量是父函数的局部变量又会怎么样呢？

Consequently, the sensitivity of the input random variable of one neural network is defined as the mathematical expectation of the partial derivative in the probability measure space.

当神经网络的类型已知，各个输入变量的联合分布函数已知，就可以明确的求出神经网络对各输入变量的敏感性计算式。

Based on the interval probability and the second fuzzy probability, go a step further the definition and characters of random variables with the third fuzzy probability and the fuzzy distribution function and fuzzy probability distribution sequence were put forward.,the definition and characters of mathematical expectation and variance were studied also.

在区间概率和第二类模糊概率的基础上，进一步给出了具有第三类模糊概率的随机变量及其模糊分布函数和模糊分布列的定义和性质，并研究了模糊概率随机变量的模糊数学期望和模糊方差的定义和性质，进一步完善了模糊概率理论。

Firstly, the structure equations of the evolution surface family are derived, and some laws of the surface invariants evolution are obtained, based on modern differential geometry, especially, differential forms and frame field theory.

本文以微分形式、活动标架为工具，推导出演化曲面、曲线的结构方程，并重点研究曲面微分不变量、不变式、整不变量及标架的演化规律，给出了这些规律同演化速率函数之间的关系。

The results of numerical experiments, using the four-dimensional variational data assimilation system of the nonhydrostatic mesoscale model MM5, show that: the tangent linear model and adjoint model conducted by keeping the "on-off" switches the same as the basic state, can provide a good approximation of the first-order information to the NLM perturbation and a good descent direction for the minimization procedure; switching on and off at every other time step in the Kuo cumulus parameterization scheme don"t impact the convergence rate of cost function; the existence of the switches don"t impact improvement to the MM5 model rainfall prediction because that not only specific humidity ,but also wind, temperature and pressure are assimilated into the model.

非静力中尺度数值模式MM5的四维变分资料同化系统进行的数值试验结果表明："开关"变量保持与基态一致，所构造的切向线性模式能够提供关于非线性模式扰动的一阶近似，伴随模式所计算的梯度值能够为最小化过程提供较好的下降方向；郭氏降水参数化方案中对流每隔一个积分步的交替发生并不影响目标函数最小化的收敛速度；"开关"变量的存在也不影响将风、温度、气压和比湿结合起来同化对MM5降水预报准确性的提高。

Selecting proper single valued variable separation functions in the 2+1 variable separation solutions,we construct many types of single valued coherent soliton structures such as dromion,dromion lattice,solitoff,2-solitoff,static and kinetic breather,instanton,compacton, peakon,and so on.The interactions among these coherent localized excitations including the collisions of compaction and compacton,peakon and peakon,line soliton and y-periodic soliton,dromion and dromion,dromion and solitoff,et al,are investigated analytically and graphically,and found that can be elastic and nonelastic respectively,which reveal various exotic and important nonlinear characters and interaction properties.

在2+1维分离变量解中选择适当的的单值分离变量函数，构造了2+1维非线性波动模型多种单值相干孤子结构如Dromion，Dromion格子，Solitoff，2-Solitoff，静止和运动呼吸子、瞬子、Compacton、Peakon等；考察了一些典型的非线性激发模式间如Compacton和Compacton，Peakon和Peakon，线孤子和y-周期孤子，Dromion和Dromion，Dromion和Solitoff之间等相互作用行为，发现其相互作用可以弹性的也可以是非弹性的，揭示了多样奇异而重要的非线性特性。

Then, the membership and nonmembership functions for input/output state variables are devised. The methods for quantification and measurement transformation to input variables in fuzzy strategy are addressed.

其次，设计了系统状态变量的属性函数，讨论了在模糊化策略方面对输入变量进行的量化和量程变换方法。

It also ensures consistent variable and object declarations between modules and deletes unused variables and functions.

它还能够确保变量的一致性和模块间的对象声明，并去除无用的变量和函数。

In Chapter four, the stability problem of the nonlinear open-loop control system is discussed by the concept of input-output stability. The L〓 stability is defined, the relationship between the L〓 norm of output variable and the input variable is proven firstly, and the sufficient condition for the stability of open-loop system , the H〓 norm of the n-th order frequency response function decreasing by n!

本章给出了非线性控制系统L〓稳定性的定义，首次严格证明了输出变量的L〓范数与输入变量的L〓范数之间的一个重要的关系式，并得到了一个开环系统L〓稳定性的充分条件，即n阶广义频率响应函数的范数〓应按n！

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。