应用函数

The feasibility of applying theory of rough sets to the identification of fuzzy membership function is confirmed in this paper.

提出应用粗糙集理论辩识模糊隶属函数的可行性。

Applying the thermodynamic model, the temperature and the critical grain size of phase transformation can be predicted precisely for the nanocrystalline materials.

在应用界面膨胀模型和普适状态研究纳米晶界面热力学特性的基础上，发展了纳米晶整体材料热力学函数的计算模型，给出了以纳米晶界面上的原子分数作为权重的纳米晶体单相材料的焓、熵、自由能随界面过剩体积、温度以及晶粒尺寸发生变化的明确表达式。

The properties and expression of knowledge are discussed in brief and binary and multiple truth expression and inference of knowledge are studied focally. The neural networks which can realized the three valued logic are overviewed. The new idea of uncertain inference based on three valued logic is proposed for the first time The models of neural logic, which can realize three valued logic and uncertain three valued logic inference are proposed, too. The learning algorithm of coefficient of MVL's function based on the canonical realization of MVL network is investigated for the first time and the appropriate algorithm is proposed.

4简要地论述了知识的特征及其表现形式，重点研究了知识的真值二值和多值表示法以及基于知识真值表示法的逻辑推理；通过对目前可实现三值逻辑推理的逻辑神经元及其网络的简要回顾，指出了各自的局限性，首次提出了基于三值逻辑的不定性推理的新概念以及可实现三值逻辑和三值逻辑不定性推理的逻辑神经元模型，同时对基于这种逻辑神经元模型的推理系统的应用领域进行了探索性尝试；另外，首次对基于多值逻辑网络正规实现的多值逻辑函数的系数参数的学习算法进行了研究，并提出了相应的学习算法。

Radial basis function network have unique adavantages in control applications due to its features of simple topological structure, quick convergence speed and no local minima.

径向基函数神经网络由于其结构简单、收敛速度快、无局部极小等特点使其在控制中的应用有着独特的优势。

A proper k total colouring of a graph G is a colouring to its vertices and edges using k colours such that no two adjacent or incident elements of G may be assigned the same colour.

利用梯度投影与罚函数相结合的技巧，将带不等式和等式约束的优化问题化成一个无约束问题，提出了初始点可任意的求解不等式、等式约束优化问题的摄动梯度投影算法；参数δk取不同的数还可以得到一类梯度投影算法，从而得出了在搜索方向和步长不精确条件下的梯度投影法，保证了在实际应用中更容易实现；在较弱条件下，证明了该算法的全局收敛性。

Generally, the set of temporal types that can be processed by a system and involved in lots of applications, meet totally ordered relation, and the set of TFDs with a totally ordered set of temporal types is closely related to the Armstrong axioms of traditional functional dependencies.

一般来说，系统所能处理的和相当多的应用所涉及到的时态类型集满足全序关系，并且具有全序时态类型集的TFD集的推导规则与传统函数依赖的Armstrong公理有着紧密的联系。

As the solution of transcendental equation is very difficult, this dissertation recommended the numeric method, and also provided its solution according to applications in the engineering.

由于高阶超越函数联立方程求解的困难，论文从工程角度推荐了数值解法，并根据工程应用中的情况给出了对具体问题的处理办法。

Because Lambert W function is defined as the solution of a transcendental equation,and it works only if some mathematical softwares such as Maple,Matlab or Mathematica are available,so the stability criteria based on Lambert W functions are not easy for understanding in applications.

但由于Lambert W函数是一个超越方程的解，而且它的求解需要借助数学软件 Maple，Matlab 或Mathematica才能完成，因此在理解和应用上都有一定困难。

The application of CORDIC(COordinate Rotation DIgital Computing) arithmetic in solving transcendental function has become popular in modern engineering. A brief introduction of CORDIC arithmetic was given in this study.

作为一种快速精确进行超越函数运算的方法，坐标旋转数字计算算法在现代工程实践中获得了广泛应用。

This method can be generalized to simulate the transmission network with unknown transfer function.

该方法可以推广到传递函数未知的传输网络的仿真应用中。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。