查询词典 ordering

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按"序"最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

We find him cold-bloodedly ordering a hundred hostages executed for every German occupation soldier killed;dictating the massacre of Italian officers who had turned their weapons against German troops in 1943;ordering the liquidation of Red Army commissars,Allied commando troops,and captured Allied aircrews;in 1942 he announced that the male populations of Stalingrad and Leningrad were to be exterminated.

我们可以看到他曾经冷血的下令处决一百个人质来为每名死难的德国士兵偿命；他命令对意大利官员进行大屠杀，因为这些人在1943年掉转枪口对准了德军；他下令消灭红军政委、盟军的突击队员和被俘的盟军机组人员；他在1942年宣布，斯大林格勒和列宁格勒的全部男性都将被清除。

The combustibility ordering and sorting of the 35 species were carried out, based on the combustibility parameter and lighting time, and the reliability of combustibility ordering was verified through two ways.

根据该参数和引燃时间长短对35种植物的燃烧性进行排序和分类，采用2种方式对燃烧性排序的可靠性进行验证。

Furthermore, based on Two-term local quadrat variance algorithm, a scale decomposing method is pointed out. This thesis also evaluates the question that whether we can apply scale decomposing results into gully ordering results for getting gully ordering system keeping the same scale characteristics results.The primary works and contributions of this thesis are summarized as follows:1. Three term local strip lacuanrity algorithm (3TLSL)This thesis shows that the gliding algorithm of Lacunarity has several shortcomings, such as it can only focus on the current analysis window, and is easily influenced by some local irregular values.

更多。本文进行的主要研究工作如下：1、流域沟谷网络多尺度分析模式与算法研究首先，为解决空隙度的滑动框算法只考虑当前窗口、易受局部异常值影响的缺陷，本文提出了顾及邻域空间关系的3阶局部条形窗口空隙度(Three-term Local Strip Lacuanrity，3TLSL)算法，并以模拟沟谷网络为例，对比分析了3TLSL算法与滑动框算法的结果，研究结果显示，3TLSL算法在分析结果的精确性、可靠性、有效性等方面均有明显的提高。

Lexicographical ordering for strings uses the ASCII ordering for individual characters.

字符串的字典序按照单字符的ASCII 顺序。

In order to guarantee the correction of the design of system, it needs to specify and verify it rigidly. The formal description and verification by use of LOTOS (language of temporal ordering specification) and ACTL are given out in this paper. These allow people to study, evaluate and define the dynamic behavior of current user interfaces.

为了保证系统设计的正确性，文章讨论了如何使用形式化描述语言LOTOS(language of temporal ordering specification)和基于动作的时序逻辑ACTL对系统进行描述与验证，这有利于人们对交互式用户界面的动态行为进行研究、评估与定义。

The weighted minus ordering and the weighted star ordering are both new partial ordering in morphism set.

加权减序和加权星序都是态射集中的新的偏序。

In this paper,first the ordering method with fuzzy partial ordering relation has been imposed to resolve fuzzy problem of psychology measure in consumer preference,and evaluation of psychology measure with fuzzy partial ordering relation has been proven to be a preferable method,then group decision making has been synthesized by individual preference with condorect function in decision making theory,finally the feasibility of ...

本文首先利用模糊偏序关系的排序方法，解决消费者偏好的心理测度的模糊性问题，论证了用模糊偏序关系对心理测度进行评价是一种较好的方法；然后利用决策理论中的condorect函数把个人偏好合成群体偏好；最后用实例验证了该方法对消费者偏好进行评价的可行性。

Part 4 (chapter5) The weighted-star partial ordering is defined, some characterizations are given using the weighted inverse, and the relation between the partial ordering with the existing partial ordering of the matrices are discussed.

4利用加权广义逆定义复数域上矩阵的加权*序，给出它们的若干性质和等价刻划，讨论它们与已有的矩阵偏序之间的关系，并推广关于矩阵*序的有关结果。

First, we introduce and discuss the various methods of multivariate polynomial interpolation in the literature. Based on this study, we state multivariate Lagrange interpolation over again from algebraic geometry viewpoint:Given different interpolation nodes A1,A2 .....,An in the affine n-dimensional space Kn, and accordingly function values fi(i = 1,..., m), the question is how to find a polynomial p K[x1, x2,...,xn] satisfying the interpolation conditions:where X=(x1,X2,....,xn). Similarly with univariate problem, we have provedTheorem If the monomial ordering is given, a minimal ordering polynomial satisfying conditions (1) is uniquely exsisted.Such a polynomial can be computed by the Lagrange-Hermite interpolation algorithm introduced in chapter 2. Another statement for Lagrange interpolation problem is:Given monomials 1 ,2 ,.....,m from low degree to high one with respect to the ordering, some arbitrary values fi(i= 1,..., m), find a polynomial p, such thatIf there uniquely exists such an interpolation polynomial p{X, the interpolation problem is called properly posed.

文中首先对现有的多元多项式插值方法作了一个介绍和评述，在此基础上我们从代数几何观点重新讨论了多元Lagrange插值问题：给定n维仿射空间K~n中两两互异的点A_1，A_2，…，A_m，在结点A_i处给定函数值f_i(i=1，…，m)，构造多项式p∈K[X_1，X_2，…，X_n]，满足Lagrange插值条件：p=f_i，i=1，…，m (1)其中X=(X_1，X_2，…，X_n)，与一元情形相似地，本文证明了定理满足插值条件(1)的多项式存在，并且按&序&最低的多项式是唯一的，上述多项式可利用第二章介绍的Lagrange-Hermite插值算法求出，Lagrange插值另一种描述是：按序从低到高给定单项式ω_1，ω_2，…，ω_m，对任意给定的f_1，f_2，…，f_m，构造多项式p，满足插值条件：p=sum from i=1 to m=Ai=f_i，i=1，…，m (2)如果插值多项式p存在且唯一，则称插值问题适定。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。