查询词典 analytically representable function

The many exact solutions, such as, trigonometric function, solitary pattern solutions, solitary wave solutions, Jacobi and Weierstrass elliptic function solutions are given by the auxiliary equation method.

近来，随着计算机技术的发展，关于孤立波的研究越来越多的依赖于计算机软件的应用，随之产生了一系列求解非线性波动方程的新方法，并且这些方法逐渐的被应用到离散的非线性微分—差分系统中来研究离散系统的孤立波问题。

Research suggests that people without a strong auxiliary function to complement their dominant function have real problems.

研究表明，缺乏强大的辅助功能来弥补主导功能的人们会出大问题。

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。

The auxiliary function asserts itself as a powerful support to the dominant function.

辅助功能显示它的作用，作为对主导功能的强大支持。

Finally, in detailed design's foundation, this article realized to the auxiliary gathering module service function has made the further introduction, and has given the partial function effect chart.

最后，在详细设计的基础上，本文对辅助采集模块业务功能的实现作了进一步的介绍，并且给出了部分功能的效果图。

An apparatus (20) such as a television signal receiver provides an emergency alert function and an auxiliary information display function.

一种诸如电视信号接收机的设备(20)提供紧急情况警报功能和辅助信息显示功能。

It is proved that the product has auxiliary protecting function to chemical liver damage by the test of animal's function.

制成的保健食品，经动物功能性试验证明，具有对化学性肝损伤有辅助保护

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。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。