查询词典 function and power

The investigations in this thesis focus on several aspects as follows: We investigate the method that how to produce permutation matrix by using chaotic map, and get the method of image permutation based on chaotic map. This method can make original image to unorderly image to protect the true content of image. We investigate gray level mix function, and put forward a gray level mix function based on chaotic map. Because this function has chaotic characteristics, the image dealed with this function has very uniform histogram. Aiming at the contradiction between error robust and security on image encryption, we put forward a kind of gray level mix function including diffusion mechanism.

本文的研究工作主要集中在以下几方面：研究了如何利用混沌映射产生置乱矩阵的方法，给出了基于混沌的数字图像置乱方法，该方法能够将原始图像变成面目全非的杂乱图像，从而保护了数字图像的真实内容；研究了灰级混合函数，提出了基于混沌的灰级混合函数，由于该函数具有混沌特性，所以经过该函数处理后的图像具有非常均衡的灰级直方图；针对图像加密的错误鲁棒性与安全性之间的矛盾，提出了一种含有扩散机制的灰级混合函数。

The convex function develeped so many years that convex functionals are now a class of very universal functionals.The kinetic energy in the classical is the most natural convex function.Others like entropy and so on are convex functions.The economic core is closely connected with the convex function.The western economic core question is the optimized question.The optimized theory has something to do with the convex function and the concave function.

凸函数的发展经年已相当完善其应用非常广泛，在古典力学中的动能，就是最自然直接的凸函数，其他如熵……等均是，连经济学的核心都与之有极密切相关，西方经济学的核心问题是最优化问题，最优化理论又与凸函数与凹函数密切相关。

It's also important that you understand how the virtual function table works, so you understand the extra steps that can decrease performance that take place when you call a virtual function (each object has a virtual function table pointer hidden from you in its structure data , and to call a virtual function, you need to follow that pointer to the table, and then jump to the function pointer contained within, which can hurt caching).

理解虚函数表是如何工作的也同样重要，这样你就能够理解当你调用虚函数时需要的额外步骤，这些步骤会降低性能(每个对象都有一个隐藏的虚函数表指针，这样调用一个虚函数，你需要根据这个指针找到那个函数表，然后跳到它所包含的函数指针所指的函数里，这会降低cache的效果)。

Harmonic function generalizes the harmonic function, the following respects are discussed: the least energy, Liouville theorem with respect to harmonic function and the relation of harmonic function and subharmonic function.

如对次调和函数的平均值不等式的推导[3- 4 ] ，调和函数的存在性的证明等[5] 。2 0 0 0年，PeterLi提出了另外一种函数，即调和函数，这一类函数比调和函数的应用广泛得多，同时又具有和调和函数类似的性质。

This paper generalizes the conclusion of Perfect nonlinear S-boxes by Nyberg(1991), and introduces the conception of inverse regular generalized vector Bent function. It shows that for inverse regular generalized vector Bent function f with even variables, m is no more than half of?. It also shows that when the input dimension n is odd, the regular generalized vector Bent function and the inverse regular generalized vector Bent function do not exist. This may prevent the cryptology designer from seeking the inexistent function.

摘要该文完善并拓展了Nyberg(1991)的关于广义向量Bent函数性质的结论，相应于Nyberg给出的正则广义向量Bent函数，提出了&负则的广义向量Bent函数&的概念：得到有偶数个输入的负则的广义向量Bent函数输出维数也不大于输入维数的一半；证明了奇数个输入的正则和负则的广义向量Bent函数都不存在，这些结果的给出，可使密码设计者避免一味去寻找某类不存在的函数。

According to the research object and core, the competitory power of bio-industry, this thesis was unfolded from four aspects: Firstly, we put forward the competitory power of bio-industry theory, its concepts and categories, analytical frame and theories structure from analyzing its influence and determinant system; Secondly, appraisal models, based on deciding factors, composing factors and realizing factors, were respectively established, by using related mathematics method, cooperate theories, management and economics theories; Thirdly, according to the research on life cycle of bio-industry, we analyzed the characteristics and countermeasures of its competitory power changing at different stages; Fourthly, we focused on the core carrier of the bio-industry andits competitory power--the bio-industry cluster (life science industry park and biologicvalley), the bio-industry cluster theories and the park-area competitive factors and the capital market and the financing competition which are important drive factors of the competitory power of bio-industry. Firthly, making use of the evaluation model of bioindustrial competition ability, we carry on bioindustrial competition ability comparison of the United States and Chinas, and evaluate a substantial evidence.

针对本论文的研究对象和研究核心——生物产业竞争力，从五个方面展开研究：一是构建生物产业竞争力理论，提出和界定生物产业竞争力的概念和范畴，从影响和决定因素系统分析入手，研究生物产业竞争力的分析框架和理论结构；二是创建生物产业竞争力分析评价指标体系与模型，运用相关数学方法、协同理论、经济学和管理学理论，以生物产业竞争力的决定因素、构成要素和实现要素为依据，分别建立分析评价模型；三是研究生物产业竞争力生命周期，针对生物产业发展的不同阶段和特点，分析生物产业竞争力变化特点和应对策略；四是研究生物产业及其竞争力的核心载体——生物产业集群(生命科学产业园、生物谷)，研究生物产业集群理论和园区竞争要素，对生物产业竞争力的重要驱动因素——生物产业资本市场和融资竞争，进行分析探讨，并提出生物产业竞争的战略路径。

We prove the equivalent conditions of completely monotone function, we also discuss the relationship of positive definite function, semi-positive definite function and completely monotone function when the function take values in a commutitive von Neumann algebras.

我们证明了完全单调函数的几个等价条件，并且讨论了取值于交换von Neumann代数的正定函数，半正定函数及完全单调函数之间的关系。

This paper proposes a new cost function which is based on the likelihood function amplified with a nonlinear function, and the global convergence of this function can be obtained more easily than the original cost function.

本文从参数的最大似然估计出发，采用非线性来放大似然函数并构造一个新的代价函数，该函数能更明显区分局部和全局最佳值。

In 1991, a young Italian scientist, Walter Fontana , showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特·方塔纳从数学角度阐述了功能A产生功能B，B再产生C这样的线性序列很容易环绕，并以控制论的方式构成自生的闭环，这样最后的功能就参与初始功能的产生。

In 1991, a young Italian scientist, Walter Fontana, showed mathematically that a linear sequence of function A producing function B producing function C could be very easily circled around and closed in a cybernetic way into a self-generating loop, so that the last function was coproducer of the initial function.

1991年，一个年轻的意大利科学家沃尔特丰塔纳从数学角度阐述了功能A产生功能 B ，B再产生C这样的线性序列很容易环绕，并以控制论的方式构成自生的闭环，这样最后的功能就参与初始功能的产生。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！