查询词典 over-population problem

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。

In chapter 1, the relations between spectrum displacement problem and controllability, observabiity for linear systems over a commutative Banach algebra have been discussed, the open problem about spectrum displacement posed by Kaashoek have been solved, and the if and only if conditions for stability, stabiizabit~ detectability have been obtained.

第一章，讨论了交换Banach代数上线性系统的谱配置问题与可控性、可观性的关系，解决了Kaashoek等提出的关于谱配置的公开问题，给出并证明了判定其稳定性、可稳定性、可检测性的充要条件。

The pupose of the research is to develops public key encryption and digital signature shemes based on matrix canonical decomposition problem, or matrix diagonalization problem over Z/n, the ring of integers with modulo-n addition and multiplication in particular, where n is an RSA modulus.

本课题研究基于矩阵经典分解问题，特别是Z/n上矩阵对角化问题的公钥密码与数字签名算法，其中n是一个RSA模数。新算法采用由一个矩阵多项式构成的多维单向陷门函数，其单向性由矩阵对角分解问题(即通过相似变换将矩阵化为对角型的问题)的复杂性来保障，对该函数求逆的陷门由矩阵的特征值或特征向量提供。

Some basic properties of σ- LFSR over F4 are studied, such as nonlinearity, cycle structure distribution of state graph, the largest period and counting problem related. The conclusions are as follows:The coefficient ring of σ-LFSR is isomorphic to the matrix ring over F,. The cycle structure of σ- LFSR is consistent with that of the determinant of the corresponding polynomial matrix if and only if the feedback polynomial of - LFSR does not contain nontrivial factor over F2,. The counting formula of the number of σ- LFSR with inconsistent cycle structure is also showed in that part. The period of σ-LFSR with degree n is maximum if and only if the determinant of the corresponding polynomial matrix is the primitive polynomial with order 2n over F2,.

本文研究了有限域F_4上的σ-LFSR的一些基本性质，如非奇异性、状态图的圈结构的分布、最大圈的充要条件及相关的计数问题等，得到以下结论：σ-LFSR的系数环同构于F_2上的矩阵环；σ-LFSR的状态图的圈结构与对应的多项式矩阵的行列式的圈结构一致的充要条件为σ-LFSR的反馈多项式不含有非平凡的F_2上的因式，给出了圈结构不一致的σ-LFSR的计数公式； n次σ-LFSR周期达到最大，当且仅当对应多项式矩阵的行列式为F_2上的2n次本原多项式。

This problem is defined as: Given points X, Y on the elliptic curve, find z such that: X = zY The discrete logarithm problem over this group in a finite field is a good one way function because there are currently no known polynomial time attacks forsolving the problem.

这个问题是指：鉴于点X和Y的椭圆曲线，找到这样： X =模糊离散对数问题，这个集团在有限的领域是一个很好的方法之一的功能，因为目前没有任何已知的攻击forsolving多项式时间的问题。

In recent years, Yihua greatly enhanced its self-determined scientific and technological ability for innovation. It implemented over 200 items of new techniques, developed over 20 items of state-level or province-level new products, declared over 100 patents of invention and achieved over 50 items of state-level, province-level or city-level important scientific and technical achievements, among which, the YH Non-break Molding Powder Coal Gasification Technique was for the first in the world applied in mass production device of urea. Yihua%26rsquo;s Technique of Pressure-swing Decarbonization Absorber won a national gold prize for patent of invention. Its Technique of Heavy-medium Ore Beneficiation and Twice Versa Floatation successfully solved the global problem that collophanite could%26rsquo;t be used to produce DAP.

近两年，宜化开发并实施了300多项新技术新工艺，开发了20多项国家级、省级新产品，申报了200多项发明专利，取得了50多项国家、省、市级重大科技成果，具有极强的自主创新能力，其中YH粉煤连续成型气化技术成为世界第一家大规模用于尿素生产的装置；变压吸附脱碳获得了国家发明专利金奖；重介质选矿和双反浮选技术成功地解决了胶磷矿不能生产磷酸二铵的世界难题。

Firstly, some difficult problems required to be solved,such as the land surface parameters′ calculation and observation over inhomogeneous land surface and development similarity theory which can be applicable to the inhomogeneous land surface. Secondly, studies of the bulk transfer coefficients over humid regions of China must be strengthened. Thirdly, whether or not understanding the landatmosphere interaction process over inhomogeneous and complicated land surface in its entirety, the land surface parameters′ expandedness form local to regional scope is a critical and difficult problem.

在此基础上，探讨了该领域研究中存在的几点科学问题：①需要解决非均匀下垫面地表参数的计算和观测以及发展适用于非均匀下垫面的相似性理论等难题；②对我国湿润地区地表总体输送系数的研究需要加强；③能否对非均匀复杂下垫面陆气相互作用过程进行全面的认识，地表参数由&点&到&面&的推广是关键也是难题。

In Chapter 2, we consider the error bound and the auxiliary problem algorithm for the generalized linear complementarity problem over a polyhedral cone: First, we give an absolute and a relative global error bound for GLCP and nondegenerate GLCP, respectively, and then we explore the properties of the solution set of the problem, based on which we establish another absolute and relative error bound for GLCP which is much exacter compared with the result above.

第二章主要研究了闭凸锥上广义线性互补问题的误差界及基于其上的一个求解GLCP的辅助问题算法：(1)给出了GLCP的全局绝对误差界和在有非退化解时的全局绝对误差界及其相对误差界；(2)对GLCP的解集结构进行了探讨，并利用得到的结果给出了GLCP的另一个全局绝对误差界和相对误差界估计；(3)我们提出了一个求解GLCP的辅助问题算法，并证明在适当条件下该算法具有全局收敛性。

Abstracts: In recent years, more and more people are faced with the threat of zoonoses in all over the world, China has also experienced the invasion of avian flu, SARS , foot and mouth disease, hand, foot and mouth disease and other public health security incidents of zoonoses, zoonoses have been more than just a medical problem, but also it is a major social problem, it is not only a problem of a region or a country, but it is a problem of all mankind.

近年来，全球一个共同的问题是人类越来越面临着人兽共患病的威胁，中国也经历了禽流感的侵袭、非典的暴虐、口蹄疫的惶恐、手足口病的纷扰等人兽共患病公共卫生安全事件，人兽共患病已不仅仅是一个医学问题，而且更是一个重大的社会问题，也不仅仅是一个地区、一个国家的问题，而是全人类要共同面对的问题。

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。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。