完整的分析必须建立在隐函数定理的基础上。
A complete analysis must build on the implicit function theorem.
基本的算法是基于隐函数来创建和合并垢在一起。
The underlying algorithm is based on implicit functions to create and merge blobs together.
这些算法使得隐函数曲面的重复绘制和控制都能实时进行。
Using these algorithms, the rendering and control of implicit surface can be treated in real time.
在最小二乘意义下用GNL法拟合了常见的四参数隐函数曲线。
The common curves of implicit function with 4 parameters are fitted in the meaning of least square by means of GNL method.
论证了两曲面的交线为空间曲线，其方程为一元四次隐函数关系式；
It is proved that the intersecting line of the two curved surface is space curve, and the equation is quartic implicit function with one unknown.
第6周隐函数的导数。由参数方程所确定的函数的倒数。数学实验一。 二。
Week 6 The derivative of implicit function. the function's derivate by parameter equation.
运用分歧理论，隐函数定理，以及渐近展开的方法，获得了非平凡周期解的存在性。
The existence of co-exist periodic solution is investigated by using the bifurcation theory, the implicit function theorem and the method of asymptotic expansion.
然后利用拉格朗日乘数法与隐函数定理，求出了使其中一不等式局部反向的临界值。
Furthermore, utilizing the Lagrange method of multipliers and the implicit theorem to work out the critical value which makes one of those inequality locally inverted.
可以通过隐函数微分法和乘法法则得到，或者直接,把关于x，y，z的偏微分放进来。
You can get this either by implicit differentiation and the product rule, or you could get this just by putting here, here,and here the partial derivatives of this with respect to x, y, and z.
作为引子，你们可能已经知道了，一元微积分里面的一个小把戏，也就是求隐函数微分法。
And, just to motivate that, let me remind you about one trick that you probably know from single variable calculus, namely implicit differentiation.
首先以分阶段的诺西肽发酵过程非结构模型为基础，根据隐函数存在定理进行辅助变量的合理选择；
Firstly, based on the staged unstructured model of Nosiheptide fermentation process, secondary variables were selected according to the implicit function existence theorem.
把隐函数的优势应用到数控加工编程中，即对于截面法的数控加工，求出刀具切削平面与隐函数曲面的加工轨迹，再用正负法绘制刀具轨迹曲线。
For NC machining of plane section method, the machining path of tool cutting plane and implicit surface can be found, and the curve of the tool path is drawn by the positive-negative method.
闭包是一个会对它内部引用的所有变量进行隐式绑定的函数。
A closure is a function that carries an implicit binding to all the variables referenced within it.
隐式类型系统一个较大的优点是，不需要为函数的参数声明类型，因为编译器会从传入的值推断出参数的类型。
One big advantage of type-inferred systems is that you don't need to declare the types of arguments to a function because the compiler infers them from the parameters you pass in.
在报错并出现编译失败之前，编译器将检查是否存在隐式函数，允许将函数转换为OnClickListener。
Before it complains and compilation fails, the compiler checks to see if there are any implicit functions in scope that would allow it to convert the function to an OnClickListener.
任何用于与MQ交换消息的WebSphere mq函数都必须在一个事务中显式或隐式地调用。
When you invoke any WebSphere MQ function exchanging a message with MQ, you must be within a transaction, implicit or explicit.
虽然双引号隐式地把数据类型定义为字符串，但是以上方法显式地把concat 2函数的输入和输出类型定义为字符串。
Though the double quotes implicitly types data as strings, the above method explicitly types both the input and output to the concat2 function as strings.
同时还启用了基本的等高线和隐线消除特性，最终的绘图是利用splot命令使用数学库内部的函数来创建的。
The base contour is enabled along with hidden line removal, and the sinc plot is created with the splot command using the internally available math library functions.
可以通过隐式转换将Spring回调轻松转换为Scala函数，如GenericJpaDaoSupport对象中所示。
Converting whatever Spring callback into a Scala function can easily be achieved with an implicit conversion as the one defined in the GenericJpaDaoSupport object.
处理任何显式或隐式构造函数调用(在构造函数中调用this或super )。
Processes any explicit or implicit constructor invocation (a call to this or super in the constructor).
如果二者都未定义，那么编译器会提供一种作为公共成员函数的隐式版本。
If neither of the two is defined, the compiler provides an implicit version that is a public member function.
图3详细展示了处理一个rpg隐式文件打开操作的过程和主要函数的代码片段。
Figure 3 details the process of handling an RPG implicit file open operation along with code snippets of the major functions.
函数增长的隐式说明。
因此我们不能对内容提供程序使用隐式的构造函数。
So we cannot use the implicit constructor for our content provider.
这些支持通过行标识符(RID_BIT或RID)内置函数、ROWCHANGETOKEN表达式、基于时间的更新检测和隐式隐藏的列实现。
This support is added using the row identifier (RID_BIT or RID) built-in function, the row CHANGE TOKEN expression, the time-based update detection, and implicitly hidden columns.
正如您在前面看到的那样，静态字段初始值设定项的代码在隐式类型构造函数的内部执行。
As you saw earlier, the code for a static field initializer executes inside an implicit type constructor.
它包括所有类的数据成员，所有类的成员函数(或者显式声明，或者由编译器隐式生成)，所有类的基类和所有它们的成员。
It includes all class data members, all class member functions (either explicitly declared, or implicitly generated by the compiler), all base classes of the class, and all their members. Consider.
你可以使用隐式参数，我们会在《第8章 -Scala函数式编程》的“隐式函数参数”章节讨论。
You can use implicit arguments, which we will discuss in the section called “Implicit Function Parameters” in Chapter 8, Functional Programming in Scala.
predicate_result对象有一个隐式的构造函数，它接受一个boolean值，因此即使validate_list的期望类型和实际返回类型不同，代码仍然会正常运行。
The predicate_result object has an implicit constructor that accepts a Boolean value, which explains why the code works fine even though the expected and actual return types of validate_list differ.
仅将整数值传递给SQL代码中的函数，它会隐式地转换为nvarchar并且返回相应的组。
Just pass an integer value to the function within your SQL code and it will be implicitly cast to an nvarchar and the appropriate group will be returned.
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