查询词典 analytic function of several variables

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要该文完善并拓展了Nyberg(1991)的关于广义向量Bent函数性质的结论，相应于Nyberg给出的正则广义向量Bent函数，提出了&负则的广义向量Bent函数&的概念：得到有偶数个输入的负则的广义向量Bent函数输出维数也不大于输入维数的一半；证明了奇数个输入的正则和负则的广义向量Bent函数都不存在，这些结果的给出，可使密码设计者避免一味去寻找某类不存在的函数。

Driver system for the stability of nonlinear and non-use of the theory of linear quadratic control law studies, select the ball location, speed and rod angle, angular velocity of the four variables as state variables, output variables for the ball position and bar angle, the establishment of linear state space equation and after the designs of clubs based on LQR control law, the design process simple and easy to realize the control law, simulation results show that the linear quadratic regulator robustness and stability.

球杆系统翻译，求高人针对球杆系统的非线性和不稳定性运用最优二次型理论进行控制律的研究，选取小球位置、速度和横杆角度、角速度四个变量为状态变量，输出变量为小球的位置和横杆的角度，建立状态空间方程并进行线性化后设计了基于LQR的球杆系统控制律，设计过程简单，控制律的实现容易，仿真结果表明了最优二次型调节器的鲁棒性和稳定性。

Moreover, it makes the coefficient matrix of centralized IPM's linear correction equation a block diagonal bordered matrix, which can be decomposed into the constraints equation on internal variables of independent sub-areas and coupled constraints equation. During each IPM iteration, internal variables and coupled variables are solved distributedly; thus distributed algorithm of multi-area ORPF is implemented.

在此基础上，论文将该线性方程分解为相互独立的子区域内部约束方程和复制节点的耦合约束方程，在每次内点法迭代中分布分块求解内部变量和耦合变量，从而实现多区域无功优化的分布式计算。

These problems can be seen : the number of variables broken down by the huge market, many variables breakdown between strong relevance to the effective impact of the marketing work; In the face of new economic forms, and more detailed variables needed; By the development of methods and tools needed to be further strengthened.

可以看出其中存在的问题：细分市场中的细分变量数目巨大，许多细分变量之间存在较强的相关性，影响了营销工作的有效开展；面对新的经济形式，更多的细分变量需要提出；细分方法和工具的开发需要进一步加强。

It contains random events and probabilities, random variables and their distributions, multi dimension random variables and their distributions, the number character of random variables, laws of large number and the central limit theorem, etc.

学习概率论的目的是对随机现象有充分的感性认识和比较准确的理解，初步掌握处理不确定性事件的理论和方法，培养学生运用概率方法分析和解决实际问题的能力。

The (0,1) placement variables are treated as continuous variables and then rounded after the optimization. The computational formula of the sensitivities of the freevibration frequency with respect to placement variables is derived.

在压电材料组成的桁架结构的自由振动频率优化设计中，提出了压电杆件配置的(0，1)设计变量并将其连续化处理，推导了压电桁架自振频率对该设计变量的灵敏度计算方法。

Results: Independent variables of year and hospital level, rather than area were associated with the increase of the two dependent variables. The two dependent variables positively correlated with each other.

结果：多元多层模型显示，自变量中的年份与医院级别对两因变量（医院仪器设备总值与业务收入）的增长值有影响，而地区对其无影响；两因变量间存在正相关关系（r=0.962）。

Results: Independent variables of year and hospital level, rather than area were associated with an increase of the two dependent variables. The two dependent variables positively correlated with each other.

结果：多元多层模型显示，自变量中的年份与医院级别对两因变量（医院仪器设备总值与业务收入）的增长值有影响，而地区对其无影响；两因变量间存在正相关关系（r=0.962）。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables, and the state and costate variables inside the time interval were approximated by Lagrange interpolation. Nonlinear optimal control problems were replaced by nonlinear equations through dual variable principle, and the symplectic algorithm for solving nonlinear optimal control problems can be obtained at the same time.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

State variables at left end of time interval and costate at right end of time interval were taken as independent mixed variables,and the state and costate variables inside the time interval were approximated by Lagrange interpolation.

以时间区段一端状态和另一端协态作为混合独立变量，在时间区段内采用拉格朗日插值近似状态变量与协态变量，然后利用对偶变量变分原理并将非线性最优控制问题转化为非线性方程组的求解，最终得到求解非线性动力学系统最优控制问题的保辛数值方法。

Core, self psychology is psychoanalytic, but there are crucial differences in how the patient-therapist relationship is viewed.

自体心理学的核心是精神分析，但在如何看待患者-治疗师关系方面，自体心理学和精神分析有着根本性的不同。

High-performance cars brake drum production costs increase less than 10%.

高性能汽车刹车鼓的生产成本增加小于10％。