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In some real-world problems, the mapping of the variational inequalities does not have any explicit forms and only the function value can be evaluated or observed for given variables.

现实世界中，变分不等式问题中的映射没有具体表达式而只能在计算过程中对给定的自变量观测到相应的函数值。

This is my ISP programming experiment in the preparation of an independent structural description of the four full-adder, through the four mapping of a full adder means four full-adder function, together with a digital display module will be full adder computing the results output to a digital display.

详细说明：这是我在ISP编程实验中独立编写的采用结构化描述的四位全加器，通过四次映射一位全加器的方式实现了四位全加器的功能，并附有数码显示模块，将全加器的运算结果输出到数码管显示。

Regarding iterated processes as objective function,parameters of algebra iterated system as design variables,and boundary condition of iterated variables as constrains,a new optimum method was proposed,which was used to calculate bifurcation of Logistic mapping.

以迭代过程关系构成目标函数，参数为设计变量，迭代变量的边界为约束，建立关于分支值计算的新方法含约束条件的最优化程序算法。

In general, in a –dimentional GFT, the field is a function mapping to real numbers.

一般来说，在一个维的GFT中，场是一个上的函数。

In order to develop this local property,this paper presents a method,which uses Fourier Series to approximate the boundary shapes of the shafts with periodic boundary of cross section,and uses the conformal mapping in Theory of Function of a Complex Variable to make the complicated boundary shapes of the shafts map a unit circle.Thus elastic theory can analyze...

本文提出一种方法，其实质是：采用富里埃级数来逼近横截面呈周期性变化边界的轴类零件的边界形状；并应用复变函数论中保角映射原理，将零件复杂的边界形状映像成单位圆，从而使弹性理论可以分析和计算复杂边界轴类零件的应力场；再通过留数的求解实现保角映射的反变换。

When this adaptive network is applied to function mapping and non-linear time series prediction, a good result is obtained.

将该网络应用于函数拟合和非线性时间序列预测，取得较好的效果。

Material flow design consists of generating task space and mapping function of resource from task space to access platform.

其组织物质流设计包括：任务空间的产生和任务空间到平台资源通过功能映射。

To solve the ill-posed problem of the super-resolution image regularization reconstruction, an energy function based on p harmonic mapping regularization and super-resolution image observed model was drawn.

针对超分辨率图像重建过程中的正则化约束问题，本文提出采用p调和映射进行正则化重建，根据超分辨率图像观察模型及正则约束，给出相应的能量泛函，并采用动态偏微分方程演化来求解能量泛函。

In the reproducing kernel hilbert space, It proved one-one mapping between positive regularization operator and kernel function.

本文在重构核希尔伯特空间中论述了正规化理论与核方法的一一对应关系。

Then,the system is linearized by variational approach,the local null controllability is proved by applying a generalized implicit function theorem and combining the property of the solution mapping.

首先得到了系统的逼近能控性；然后采用变分方法对系统线性化，再结合解映射的性质，应用推广的隐函数定理，证明系统的局部零能控性；最后给出系统零能控的结论。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样