查询词典 algebraic cone

This method is based on our blowup sampling method of algebraic curves, which solves the difficult problem of sampling around singular points in essence.

这种逼近建立在所提出的代数曲线胀开采样的基础上，这种胀开采样算法从本质上解决了奇异点周围采样难的问题。

In the fourth chapter, firstly it introduces the Boolean functions algebraic expressions of the 2-value clock-controlled stop-and-go generator and Gunther generator. It reveals the balanced property of the two kinds of Boolean functions, and studies the Walsh cycle spectrum and the autocorrelation function. It also obtains the coincidence rate of their output sequences with affine sum of some bits of input sequences, and analyzes their ability of resisting the best affine approximation cryptanalysis and differential cryptanalysis. Secondly, we properly present a new definition of the Best Affine Approximation, namely BAA on the Boolean vector functions, followed by the spectral characteristic of such defined BAA attacks through using the decomposition formula of the union distribution for random variables. A lower bound of such BAA attacks is proposed. Finally, we also study the spectral characteristic of the second kind of nonlinearity of Boolean vector functions, followed by a higher bound of such nonlinearity. Furthermore, the limited relationship between the second kind of nonlinearity of Boolean vector functions and the linear structure of the linear combination of every component is analyzed.

在第四章中，首先给出了2值密钥流"停走生成器"和"衮特生成器"中实际存在的布尔函数的代数表示，揭示了这两类布尔函数的平衡性，随后研究了它们的Walsh循环谱和自相关函数等，得到了它们的输出序列与输入序列中的某些bit的仿射项的符合率，分析了它们抵抗最佳仿射逼近攻击和差分攻击的能力；其次，我们合理地给出了布尔向量函数最佳仿射逼近的新定义，利用布尔随机变量联合分布的分解式考察了相应的谱特征，并给出了布尔向量函数与其最佳仿射逼近的符合率的一个下界；最后，我们还考察了布尔向量函数第二类非线性度的谱特征，给出了布尔向量函数第二类非线性度的一个上界，并揭示了布尔向量函数第二类非线性度与其各个分量的线性和的线性结构之间存在的制约关系。

Using the theories of probability, algebra and spectral theory comprehensively, we investigate some related characteristics of logic functions in cryptography: Firstly, we introduce m order generalized s - correlation immunity of Boolean vector functions and prove that the higher order generalized ε- correlation immunity can guarantee the lower order generalized ε- correlation immunity. Then by applying decomposition formula of joint distribution of Boolean random vectors, we give a spectrum criterion of m order generalized e - correlation immunity of Boolean vector functions. Furthermore, we show that the algebraic degree of m order generalized e - correlation immune Boolean vector functions is not restricted by the correlation immune orders.

本文主要运用概率论的思想和方法，并结合代数学和频谱理论的相关知识，对密码学中逻辑函数的有关性质进行了研究，主要包括以下三个方面的内容：首先，对布尔向量函数的相关免疫性进行了拓展，给出了k维布尔向量函数m阶广义ε-相关免疫的概念，证明了布尔向量函数的高阶广义ε-相关免疫性蕴含低阶广义ε-相关免疫性，并根据布尔随机向量联合分布分解式得到了布尔向量函数m阶广义ε-相关免疫的一个谱判别条件，还说明了m阶广义ε-相关免疫布尔向量函数的代数次数不受相关免疫阶数的制约。

In[5],combining the algebraic topology method,we have proven that conjunction matrix is complete topological invariant of bounded closed domain in plane under F-homeomorphism.so,for any two bounded closed domain in plane ?

主要原因在于拓扑不变量通常比较难算，没有比较实用的方法来恰当地提取图形的拓扑不变量，尤其是对较复杂的图形而言更是困难重重。

Descartes' influence in mathematics is also apparent, the Cartesian coordinate system allowing geometric shapes to be expressed in algebraic equations being named for him.

笛卡尔在数学中的影响也很显著，因他而命名的笛卡儿坐标系让几何图形可用数学方程表达。

In this thesis, we study Cauchy rational interpolation problem on the set of distinct nodes by algebraic method and give some algorithms in univariate and multivariate cases.

我们推广了有理插值问题解的概念，给出了扩展弱解，弱解和解的定义，并且说明在给定一个代数结构后扩展弱解集构成一个线性空间。

It is natural to consider Cayley tables for other algebraic structures, such as for

自然会考虑其他代数结构比如

In terms of the theory of algebraic geometry, the problem of characteristic polynomial assignment of the closed-loop systems is transferr.

以代数几何方法为工具，将此闭环系统的特征多项式配置问题转化为判别有理映射是否为到上的，推导出多输入的 2 D广义系统Roe sser模型由状态反馈几乎任意配置特征多项式系数的充分条件。

Chicle is a base over which you sprinkle sugar, pepsin, thyme, licorice. Chicle, when it is gathered by chicleros, is O.K. The chicleros came over on the ridge of a sunken continent. They brought with them an algebraic language. In the Arizona desert they met the Mongols of the North, glazed like eggplants.

你可以朝树胶上撒糖、助消化药、百里香草汁和甘草汁，待树胶被树胶收集者裹起来后便好消化了，这些树胶收集者是沿着一个业已下沉的大陆的山脊来的，他们带来了一种代数语言，在亚利桑那沙漠中他们遇到了北方的蒙古人，这些人像茄子一样光滑。

Chicle is a base over which you sprinkle sugar, pepsin, thyme, licorice. Chicle, when it is gatITed by chicleros, is O.K. The chicleros arrived over on the ridge of a sunken continent. They brought with them an algebraic language. In the Arizona desert them met the Mongols of the North, glazed like eggplants.

你没出国疑问朝树胶上撒糖、助消化药、百里香草汁和甘草汁，待树胶被树胶收集者裹起来后便好消化了，这一些树胶收集者是沿着唯一业已下沉的陆地的山脊来的，她们带来了一种代数Language，在亚利桑那沙漠中她们遇到了北方的蒙古人，这一些人像茄子相同光滑。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。