这是二元函数中的第一个例子。
That was our first example of a function of two variables possibly.
我们将把注意力集中在二元函数上。
So, we are going to focus on the case of functions of two variables.
还有另外的一种方法画出二元函数的图像。
So, there is another way to plot the functions of two variables.
这的确是一个二元函数。
我们说，当一个二元函数存在时，就有梯度向量。
So, we said when we have a function of two variables, we have the gradient vector.
我们已经知道，怎样通过图像去了解二元和三元函数。
We have learned how to think of functions of two or three variables in terms of plotting them.
积分上限函数是一元函数微分学的基本概念。
Integral upper limit function is a basic concept in function differential calculus.
我们学过怎样认识二元函数,从它的图像和等高线的角度来看。
we've seen is how to actually view a function of two variables in terms of its graph and its contour plot.
因此当我们在想像一个图像时，其实那只是一个二元函数的图像。
So, when we think of a graph, really, it is a function of two variables.
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.
但这种办法并不普遍，只能用于二元函数，来判断是极小值点、极大值点还是鞍点。
I should say that is for a function of two variables to try to decide whether a given critical point is a minimum, a maximum or a saddle point.
并且我们已经做过两次了，一次是关于二元函数的，另一次关于三元函数的。
And we have seen them twice. We have seen them once for functions of two variables, once for functions of three variables.
二元函数的极限远比一元函数的极限复杂，但它们之间又有密切的联系。
Limit of function of two variables is more complex than that of one variable.
课程内容包括函数、极限与连续、一元函数微分学、一元函数积分学和常微分方程等几大板块。
This course consists of several major parts, such as Functions, Limits and Continuity, The Derivative, Integration and Ordinary Differential Equation.
通过对两类特殊三元函数极值问题的探讨，得到了由其系数来判别它们能否取得极值的充分条件。
Via the discussion about the extremum question of two kinds of special ternary function, Obtain the sufficient condition of judging if they can get the extremum by their coefficients.
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.
探讨二元函数的连续性、偏导数、方向导数以及可微性之间的关系，有助于我们对二元函数的学习。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
名为spacefriend的友元函数，它是space类的友元，它的参数是类对象，输出类对象的x变量的值。
A friend function named spacefriend, which is a friend of class space, and which takes the class object as an argument and prints the value of its variable x.
相当于在一元微积分中，取一个函数的不定积分，仅仅需要在结果后加一个常数。
It is the same thing as, in one variable calculus, when you take the anti-derivative of a function it is only defined up to adding the constant.
函数的参数数量称为元数(arity)，用于帮助标识函数。
The number of arguments to a function is called it's arity, and is used to help identify the functions.
商业智能架构的存储库层(Repository Layer)定义了用于在DB 2中存储结构化数据和元数据的函数和服务。
The Repository Layer of the Business Intelligence Framework defines the functions and services to store structured data and meta data within DB2.
函数 setmetatable()和getmetatable() 分别对对象的元表进行修改和查询。
The functions setmetatable() and getmetatable() modify and query an object's metatable, respectively.
元表的键值称为事件；值（换而言之就是函数）称为元方法。
The keys of the metatable are called events; the values (in other words, the functions) are called metamethods.
该头文件将大量使用元模板编程和仿函数(functor)。
This header makes heavy use of template meta-programming and functors.
因为可以在数据结构中包含函数，所以函数性语言构成了元编程的优秀平台。
Because you can include functions in the data structures, functional languages make excellent platforms for metaprogramming.
清单6中定义的两个函数由detailview元数据框架调用，以便将连接器实际呈现在表单中。
The two functions defined in Listing 6 are called by the DetailView metadata framework to do the actual rendering of the connector inside the form.
查找元数据只需要将文件名传递给该函数即可。
To locate the metadata, simply pass this filename to your function.
这样一来，放置组(以及副本)到存储设备的映射就不用依赖任何元数据，而是依赖一个伪随机的映射函数。
In this way, mapping of placement groups (and replicas) to storage devices does not rely on any metadata but instead on a pseudo-random mapping function.
PHP 使用三元操作符（foo?bar:baz）和冗长的函数名列表，而命名约定更是无所不有；相反，您会发现Python 要简洁多了。
PHP has the ternary operator (foo?bar:baz) and an enormous (and unwieldy) list of function names, with all kinds of naming conventions; you'll find Python a lot cleaner.
PHP 使用三元操作符（foo?bar:baz）和冗长的函数名列表，而命名约定更是无所不有；相反，您会发现Python 要简洁多了。
PHP has the ternary operator (foo?bar:baz) and an enormous (and unwieldy) list of function names, with all kinds of naming conventions; you'll find Python a lot cleaner.
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