数值和矢量分析微分：多变量函数。
Numerical and vectorial analysis Differential calculus: multivariable functions.
事实上，如果你有一个多变量函数，那么它的准则依然如此。
In fact, if you had a function of many more variables the criterion would still look exactly like that.
在用中规模集成逻辑电路实现函数时，使用降维卡诺图可化简多变量函数。
When using MSI to implement logical functions, we can use Reduced-dimension Karnaugh Map (RDM) to simplify multi-variable functions.
上次我们看了，怎样利用拉格朗日算子，去求解一个受约束的，多变量函数的最大最小值。
OK, so last time we saw how to use Lagrange multipliers to find the minimum or maximum of a function of several variables when the variables are not independent.
我们介绍且激发课程的主题将朝向于实例学习法的问题设定，例如稀疏值中多变量函数近似的问题。
We introduce and motivate the main theme of the course, the setting of the problem of learning from examples as the problem of approximating a multivariate function from sparse data - the examples.
多变量函数的积分问题在各种应用领域，包括物理、化学、金融、经济和计算科学中有着广泛的应用。
The problem of multivariate numerical integration has its applications in many fields, including physics, chemistry, finance, economy, and computational science.
你只需弄清哪个是变量，哪个不是，下次课会涉及更多的内容，我们还会学习，多变量函数的最大值和最小值。
You just have to keep remembering which one is a variable, and which one isn't. OK, so more about this next time, and we will also learn about maxima and minima in several variables.
科学计算及其应用常常需要多变量函数的有关偏导数问题的计算，通常使用的计算方法是符号微分或差分近似。
Evaluation relevant to the partial derivatives of the multivariable functions is often done in scientific computation, usually by means of the symbolic differentiation or the divided difference.
因此，一个多变量的函数没有通常的导数。
So, a function of several variables doesn't have the usual derivative.
今天我们将要试着理解，更多变量之间的关系，和怎样处理，一个依赖于几个相关变量的函数。
And, today we're going to try to figure out more about relations between the variables, and how to handle functions that depend on several variables when they're related.
给你一个有很多变量的函数，这样说不定你就崩溃了。
See, I am trying to just confuse you by giving you functions that depend on various Numbers of variables.
通过多变量解耦控制系统被控变量的函数，对给定值和外部干扰进行分析；
Through the function of controled variable in a multi-variable decoupling control system, the given values and interference are analyzed.
本文提出迁移函数法。用此方法可以解决多变量时序电路综合问题。
This paper presents a transition function method which can be extended to solve the synthesis problems of multiple variable sequential circuits.
由于安全系数的目标函数是非凸的、多变量的并且存在多个极小值，所以一般边坡最危险滑弧的搜索是困难的。
Because the objective function of the safety of factor is nonconvex, multi-variable, and existing many minimums, searching the most dangerous failure surface usually is difficult.
在热力学中，我们经常涉及两个或更多变量的函数。
In thermodynamics we usually deal with functions of two or more variables.
选择adpcm的步长修正因子M涉及复杂目标函数的多变量优化，是一个海量计算问题。
Choice of ADPCM's step-size updating factors m had a sea capacity of computing which optimizes multi-variables with complex cost function.
降维图可作为化简多变量逻辑函数、设计逻辑电路的一种方法。
The Reduced-Dimension Map can be used as a means to simplify the multiple variable logical function and to design logic circuit.
传递函数———噪声模型是一类多变量时间序列模型，它在表达系统动态影响机制方面有着独到的优势。
The transfer function-noise model is a kind of multivariate time series model which has much advantage in expressing dynamic mechanism of a system.
研究一种多变量非线性函数极值的通用数值解法，并将这种算法应用于石英晶振热敏网络温度补偿系统中。
An universal numerical algorithm of extremum for multivariate nonlinear function is discussed, and is used in the calculate system of compensation for thermistor net.
保温层厚度的优化是含有多变量非线性目标函数的优化。
The optimum thickness for the insulating layer is to find the optimal solution for a nonlinear objective function.
基于广义频率响应函数矩阵，讨论了多变量非线性系统的稳定性问题。
The stability of multivariable nonlinear control system is discussed in connection with the generalized frequency response function matrix.
介绍并分析了多变量预测函数控制的基本原理和特点。
The basic theory and properties of multivariable predictive functional control is introduced and analyzed.
采用径向基函数（RBF）神经网络进行多变量系统的建模研究。
The modelling problem of multivariable system using radial basis function (RBF) neural networks is studied.
提出了一种新的多变量系统预测函数控制算法，该方法可以适用于具有时滞和外部干扰的多变量系统。
A new multivariable predictive functional control algorithm is presented. The obtained MPFC algorithm can be applied to multivariable system with time-delay and disturbance.
利用通径分析中的最小剩余通径系数，在给定描述高炉系统的诸多变量中，确定影响目标函数的主要变量因素。
Among given variables describing a BF system, the main variables influencing the selected target function were found out according to the minimum residual path coefficient of path analysis.
在多变量的情况下也能求得逻辑函数的最简式。
Even in the case of multi-variable function, the minimization of the logical function can also be obtained.
基于差分方程模型推导了多变量预测函数控制算法，使其具有更加广泛的适用性。
Multivariable predictive functional control based on difference equation, which has more general applicability, is presented.
提出了逻辑函数“系统简化法”的计算机辅助设计方法，从而实现了对多变量逻辑函数的自动简化。
CAD method by using logical function as systematical simplication methods is proposed. The simplication of multivariable logic function is obtained automatically.
提出了逻辑函数“系统简化法”的计算机辅助设计方法，从而实现了对多变量逻辑函数的自动简化。
CAD method by using logical function as systematical simplication methods is proposed. The simplication of multivariable logic function is obtained automatically.
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