希望你们大致记得，这是关于多元函数及其偏导的。
Well, hopefully you kind of vaguely remember that it was about functions of several variables and their partial derivatives.
方法：运用多元函数全增量因素分析法。
Methods: Multivariate complete incremental factorial analysis is used.
多元函数的教学是高等数学教学中的一个难点。
根据基本定理的证明对于多元函数就没有相似的东西。
A proof based on the fundamental theorem has no counterpart for functions of several variables.
利用函数行列式求得多元函数在附加条件下的可能极值点。
Striving for the possible extreme value points of poly function with addition condition by using the function processions.
多元函数的连续性，偏导数，方向导数及可微性之间的关系。
The Relation between the Continuity, the Partial Derivatives, the Directional Derivatives and the Differentiability of a Function.
利用二次型的理论，给出解决多元函数极值问题的另一种方法。
Through the quadratic form theory, another solution to the extremum problem of function of several variables is given.
实验测试结果表明，该算法对一元函数和多元函数都有很好的效果。
Simulation test illustrates that the presented algorithm is efficient for both one-variable functions and multi-variable functions.
求最值问题是中等数学永恒的话题，其中，多元函数求最值是难点。
The teaching of function of several variables is a difficult point in higher mathematics teaching.
求最值问题是中等数学永恒的话题，其中，多元函数求最值是难点。
Seeking the maximum and minimum of function is the perpetual topic in the medium-sized mathematics, and the function of many variables are difficulties.
本文给出了利用梯度判定多元函数极值的判别法，并提供了若干范例。
In this paper we give a method of test, which makes use of the gradient, to verify the extreme value of multivariate function, and give some typical examples.
本文给出了一元函数Cauchy微分中值定理在多元函数中的推广。
This paper gives an extending of Cauchy's mean-value theorem on functions of several variables.
这是你们准备考试应该复习的内容，首先我们知道，这个单元的主要内容是多元函数。
Here is a list of things that should be on your review sheet for the exam.The first thing we learned about, the main topic of this unit is about functions of several variables.
本文使用二次型的理论进行判断，并将问题扩大为求任意多元函数的极值。
This paper USES the theory of quadratic form to distinguish this problem, not only that, it enlarge to calculate extreme value for function of many variable.
然后连续利用多元函数级数展开，导出群角表示的相速度和群速度近似公式。
Then series expansions of multi-variable functions are applied to the derived approximations in terms of phase angles to generate the approximations in terms of group angles.
本文将一元函数的罗尔定理推广到多元函数中，并给出了一个简洁、颖的证明。
In this paper, the Rolle's theorem of a variadle function is extended to multiple-variable functions. The paper, then, gives a new and simple proof.
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
在n维欧氏空间内，给出了多元函数分别关于点、n-1维超平面对称的充要条件。
Necessary and sufficient conditions are given on the symmetry of points and n-1 dimensional hyperplane of function of many variables in then-dimensional Euclidean space.
讨论了反例在数学理论中的特殊作用，并给出了几个在多元函数微分学教学中应用的特例。
The special role of counterexamples in mathematics theory is discussed. Several special examples used in teaching differential of multi-function are given.
并根据数学分析中一元函数和多元函数的极限的相关知识，在理论上证明了该指标的有效性。
According to unary function limit and multivariate function limit of mathematical Analysis, the validity of the index Vnew is proved in theory.
利用多元函数极值的定义和偏导数的定义公式证明二元函数与一元函数在某点取得极值的关系。
This article use the diverse function extremum and the local derivative's definition formula to prove the relation between extremum obtained by the two function and the dollar function at some point.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
本文给出一类多元函数—三元函数是否存在极值的快速判别方法，并讨论它在实际问题中的应用。
In this paper, a convenient judgement method about extreme value of one class multivariate functions-trivariate functions was given, and its application in reality was discussed.
课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.
提出用一种新方法——构造法证明多元函数极限不存在，并得到了证明多元函数极限不存在的新条件。
A new method is provided to prove the non-existence of multivariable function limit by virtue of construction method.
掌握常见的曲面方程的识记规律，不仅能轻松建立空间图形，而且为多元函数积分学的学习打下坚实的基础。
To master the law of common surface equation, not only can easily establish a space graphics, but can lay a solid basis for learning multi-function.
将一元函数和二元函数极值的部分判别方法推广到多元函数极值的判别，提出了判定多元函数极值的几个方法。
The extreme conditions for the monovariate functions were applied to the multivariate functions and then an effective method to decide the extreme values for the multivariate functions was presented.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
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