函数

In Section 3.1, some basic properties of almost automorphic functions and functions with 0 mean value are investigated.

sect；3.1主要研究了概自守函数和具有零平均值的函数的一些基本性质。

The earliest automorphic functions to be studied were the elliptic modular functions.

研究得最早的自导函数是椭圆模函数。

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane.

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

In this paper, a complex mapping function is devised to transform the contour surface of an arc crack to a unit circle on the auxiliary plane. By substituting the mapping function into it governing boundary equation, the complex stress functions can be obtained as

本文之研究方法乃是首先设计一复变函数，将原有弧形裂纹之几何形状映像至辅助平面成为一单位圆，然后再以此映像函数代入相关之边界方程式中。

A corresponding theorem is obtained by using an auxiliary function and two main theorems.

定理的证明主要利用p-adic亚纯函数论中的两个基本定理和一个辅助函数。

In this paper, we introduce a scalar potential function in the nonconducting region,and prove the existence of an auxiliary function which is important to the problem.

本文在非涡流区引入标量位函数，证明了在推导过程中起重要作用的辅助函数的存在性。

Provable Security is a formal method for proving the security of cryptographic schemes, in which the difficulty of breaking a particular scheme is formally related to that of solving a widely believed computational hard problem. Provable security has already become an important theme of theoretical researches in modern cryptography. This dissertation investigates the provable security of public-key encryptions and hybrid encryptions of asymmetric and symmetric encryptions. This includes the various formal security notions and the constructions can be proved to achieve them. Among the constructions, hybrid encryptions are themselves an important way to obtain public-key encryption schemes with chosen ciphertext security. The main results are as follows:(1) The one-wayness of the trapdoor one-way function in NTRU depends on the randomness of the session key, which is different from previous ones. Based on this observation, a new kind of trapdoor one-way function, trapdoor one-way functions with an auxiliary random variable is proposed.

可证明安全性是一种证明密码学方案安全性的形式化方法，它将密码学方案的安全性归约为公认的计算难题，已成为现代密码学领域中理论工作的主线，本文主要研究公钥加密与单双钥混合加密的可证明安全性，这包括它们的各种形式化安全性定义以及达到这些安全性定义的方案构造，而单双钥混合加密本身也是一种构造选择密文安全公钥加密的重要方法，本文得到的主要结果如下：(1)在研究NTRU公钥加密的特殊性基础上，对于公钥加密的陷门单向函数加密模型进行了扩展，提出了具有辅助陷门单向函数的概念，并将其扩展到多元的情况，讨论了可能的密码学用途。

We utilize the intuitionistic fuzzy weighted arithmetric averaging operator to aggregate the intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one according to the score function and accuracy function.

然后对权重信息不完全的直觉模糊数的多属性决策方法进行了研究，基于正理想方案和算子，给出了一个具有最小偏差的目标规划模型，从而获得相应的属性权重，基于IFWAA算子对直觉模糊信息进行集结，进而根据得分函数和精确函数对方案进行排序。

We utilize the interval-valued intuitionistic fuzzy weighted arithmetic averaging operator to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative, and then rank the alternatives and select the most desirable one according to the score function and accuracy function.

然后对权重信息未知的区间直觉模糊数的多属性决策方法进行了研究，给出了一个基于最大偏差的目标规划模型，从而获得相应的属性权重，基于IIWAA算子对区间直觉模糊数信息进行集结，进而根据得分函数和精确函数对方案进行排序。

Based on these operational laws, some aggregation operators, including pure interval-valued intuitionistic fuzzy weighted arithmetric averaging operator and pure interval-valued intuitionistic fuzzy ordered weighted averaging operator, are proposed.

论文摘要：对纯区间直觉模糊信息的集结算子进行了进一步研究，引入了区间直觉模糊数的一些运算法则、区间直觉模糊数的得分函数和精确函数，并基于这些运算法则，提出了一些新算子：纯区间直觉模糊数加权算术平均算子和纯区间直觉模糊数有序加权平均算子。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。