乘法的详细信息会在 乘法辅助函数一节中介绍。
The details of the multiply algorithm will be described in the section headed Multiply as a support function.
本文给出构造中值问题辅助函数的一种方法。
A method to construct auxiliary functions for intermediate value problems is given.
这个辅助函数的代码可以在encode . js中找到。
The code of this auxiliary function can be found in encode.js.
很多关键的基类也挑选了一些被大家经常要求的辅助函数予以实现。
Many of the key base classes also picked some frequently requested helper function.
我们以此为例说明如何在模板文件中使用不同的数据对象和辅助函数。
We include it as an example of how to use different data objects and helper functions within a template file.
针对微分中值问题的结论的不同特征，本文归纳出了辅助函数的四种构造方法。
According to different features of conclusion about middle value questions in differential calculus, four kinds of methods about the auxiliary function structures will be concluded.
构造辅助函数是利用微分中值定理解决问题的关键，构造辅助函数的方法较多。
Constructing auxiliary functions is the key in using differential mean value theorem to solve problems; there are many methods for constructing auxiliary functions.
利用辅助函数对一类二阶非线性微分方程进行研究，给出了其解有界的充分条件。
Using the auxiliary function, studies the boundedness of solutions of a kind of 2-order nonlinear differential equations with delay, then gives sufficient conditions of them.
最后探讨了拉格朗日中值定理证明中辅助函数的构造方法，以此拓展对定理证明的思路。
Finally discusses the Lagrange mean value theorem proof method of constructing auxiliary function in order to expand on the idea of theorem proving.
本文首先采用不同的几何手段，引进相应的辅助函数，对拉格朗日定理的证明进行了探索。
In this paper, using different geometric means, the introduction of the corresponding auxiliary function of the Lagrange theorem proof explored.
其证明方法关键在于构造一个辅助函数，再应用罗尔中值定理推出拉格朗日中值定理的结论。
Its key proof is to construct an auxiliary function, which is used by Roll's theorem to reach a conclusion of Lagrange's theorem.
本文首先证明了R—S积分中值公式，并利用辅助函数进一步讨论了其“中间点”的渐近性。
This paper firstly proves R-S mean value formula for integral, and USES the supplementary function for further discussing the asymptotic property of the "intermediate point".
辅助函数的构造是高等数学教学中的重要内容之一，也是学生所要掌握的重要的解题方法之一。
The structure of auxiliary function is one of the important contents in the mathematics teaching, it is one of the important solution approaches that students should grasp too.
然后定义相应的辅助函数，导出对应的微分关系，由此可分析电磁场作用下系统的热力学特性。
Then define related assisted functions, deduce corresponding differential expressions, therefore we can analyze the thermodynamic properties of the system in the electromagnetic fields.
本文首先对箱子约束全局最优化问题提出了一个新的辅助函数，该函数能跳出当前的局部极小点。
In this paper, a new auxiliary function with one parameter on box constrained for escaping the current local minimizer of global optimization problem is proposed.
我们创建了一个简单的辅助函数，以支持使用XMLHttpRequest对象来调用使用E4X 的服务。
We created a simple helper function to support using the XMLHttpRequest object to invoke services using E4X.
本文具体通过以积分上限函数作辅助函数解题的方法的分析，说明在微积分中如何构建辅助函数求解数学问题。
This paper has discussed method about integal superior function as auxiliary function, which illustrates to how to solve problems by constructing integal superior function as auxiliary function.
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
第五章主要对设计中所用到的各模块函数进行了分析，并以流程图作为辅助参考，另外讨论了几个辅助函数、驱动表过程函数以及上下层的接口函数。
In the fifth part, all of modules of the thesis is analysed with figure and discussed several assistant function, process function of driver table and interface function.
包含了用于VB语言构造的一些辅助函数的这个类库（译者注：这个类库即Microsoft.VisualBasic.dll，VB语言的很多基础功能都需要调用到这个类库），是作为.NET平台的一个基本功能共同发布的。
This library, which contains helper functions called by VB language constructs, is shipped with the baseline .NET platform.
注意我们很有必要使用一个辅助乘法函数。
Note that it is necessary to use a helper multiply function.
在上面TimeBase计算的实现中，算法使用了一个辅助乘法函数。
In the implementation of the Time Base calculation above, the algorithm USES a helper multiply function.
子类的主构造函数必须调用父类的一个构造函数，无论是主构造函数或者是辅助构造函数。
The primary constructor in a derived class must invoke one of the parent class constructors, either the primary constructor or an auxiliary constructor.
被调用的构造函数可以是另外一个辅助构造函数或者主构造函数，而且它必须出现在辅助构造函数主体的第一句。
The constructor invoked may be either another auxiliary constructor or the primary constructor, and it must be the first statement in the auxiliary constructor's body.
因为所有的辅助构造函数最终都会调用主构造函数，它主体中进行的逻辑检查和其它初始化工作会在所有实例被创建的时候执行。
Because all auxiliary constructors eventually invoke the primary constructor, logic checks and other initializations done in the body will be performed consistently for all instances created.
第二个辅助构造函数只接受一个标签。
第一个辅助构造函数接受一个标签和一个单独的回调函数。
The first auxiliary constructor accepts a label and a single callback.
在《第5章 -Scala 的基本面向对象编程》的“Scala 的构造函数”章节中，我们会看到如何定义辅助的构造函数。
We’ll see how to define auxiliary constructors in the section called “Constructors in Scala” in Chapter 5, Basic Object-Oriented Programming in Scala.
为了避免无限递归，Scala要求每一个辅助构造函数调用在它之前定义的构造函数[ScalaSpec2009]。
In order to avoid infinite recursion, Scala requires each auxiliary constructor to invoke another constructor defined before it [ScalaSpec2009].
为了避免无限递归，Scala要求每一个辅助构造函数调用在它之前定义的构造函数[ScalaSpec2009]。
In order to avoid infinite recursion, Scala requires each auxiliary constructor to invoke another constructor defined before it [ScalaSpec2009].
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