查询词典 kernel function

Given a planar point set,the moving least squaremethod is adopted to denoise and resample it so that the resulting point set is with low noise and uniform sampling density.Then the reliable signed distance field of the preprocessed point set is constructed by using the Level Set method.Finally,an algebraic B-spline function is adopted to fit the signed distance field by solving a linear equation system.

首先给定一个表示封闭曲线、可能带有噪音且分布不均匀的平面点云，采用移动最小平方(moving least square，简称MLS)方法对点云去噪、重采样，得到一个低噪音、分布均匀的"线状"点云，再通过Level Set方法建立该"线状"点云的离散几何距离场，最后用一个代数B-样条函数光顺拟合该离散距离场，代数函数的零点集即为重建曲线。

Boolean function; algebraic degree; correlation immunity; resilient; nonlinearity; balancedness

论文导师戚文峰，论文学位硕士，论文专业密码学

Within the round function, the logistic chaotic map and three algebraic group operations are mixed.

在轮函数巾用Logistic混沌映射和3个代数群算子进行混合运算，此外还特别设计了子密钥生成算法。

Within the round function, the logistic chaotic map and three algebraic group operations are mixed. Moreover, the subkeys schedule is specially designed for the consideration of the security.

在轮函数中用Logistic混沌映射和3个代数群算子进行混合运算，此外还特别设计了子密钥生成算法。

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

Main work follows:(1) In the first part of this paper, a historical development of the number theory before Gauss is reviewed.Based on the systematic analysis of Gauss"s work in science and mathematics, inquiry into the mathematical background that Disquisitiones Arithmeticae appeals and Gauss"s congruent theory;(2) The development process of Fermat"s little theorem and its important function in the compositeness test is elaborated through original literature.we think that the first three section of Disquisitiones Arithmeticae is a summary and development for ancestors" work about Fermat"s little theorem,show that Fermat"s little theorem played an important role in the elementary number theory;(3) With the two main sources of the quadratic reciprocity law, investigating Fermat,Euler,Lagrange,Legendre, until the related work of Gauss,the way to realize the laws huge push to the development of algebraic number theory in 19 centuries.

本文主要做了以下工作：(1)首先回顾了高斯之前的数论研究状况，在系统分析高斯的科学与数学成就的基础上，探讨了《算术研究》出现的数学背景和高斯的同余理论；(2)通过对原始文献的系统解读，深入分析了费马小定理发现发展的历程以及在素性检验中的重要作用，指出《算术研究》前三节是高斯在总结并发展了前人对该定理研究的基础上形成的，并揭示了费马小定理在初等数论定理证明中的核心地位；(3)以二次互反律的两个主要来源为线索，详细考察了费马，欧拉，拉格朗目，勒让德，直到高斯的相关工作，揭示了该定律对十九世纪数论发展的巨大推动作用。

That is by introducing the switch function, the linear dynamical part is separated by a simple algebraic operation, then a new linear model can be achieved.

即通过引入开关函数，将线性动态部分分离处理，辨识得到新的线性模型。

The matching function determined by this method has an algebraic structure and is in closed form.

这样定义的匹配函数具有优美的代数结构，所得到的解是闭形式的。

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit about all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法，建立了通风网络解算优化模型，并用梯度法对该模型进行解算，获得了一种新的风网解算算法。

In the method, a optimization model of a ventilating network is put forward by taking the minimizing squared sum of algebraic sum of the ventilation pressure of all branches in a independent circuit shoot all independent circuits as object function, therefore a new algorithm of ventilation network optimization is obtained.

该方法通过使所有独立回路分支风压代数和的平方和最小化的方法，建立了通风网络解算优化模型，并用梯度法对该模型进行解算，获得了一种新的风网解算算法。

According to my definition, the Manchurian Candidate is an experimentally created dissociative identity disorder that meets the following four criteria

根据我的定义，满州候选人是一个创造分离身份混乱的实验，它符合下述的4条标准

I'd be chuffed to play at a World Cup, but I have many years ahead of me in the game so I hope to have more opportunities.

我会chuffed发挥在世界杯，但我有很多年的比赛在我前面，所以我希望有更多的机会。