查询词典 monomial

According to the second class standard of the national soil environment quality, pollution severity of heavy metals in the soil was evaluated by monomial pollution index method and Nemerow synthetic pollution index method.

依据国家土壤环境质量二级标准，用单项污染指数法和内梅罗综合污染指数法评价土壤重金属的污染程度。

The Gaomi Sports Center is located in southeast of the Gaomi Administration Center, including palaestra, gymnasium, swimming pool, sports school ,outdoor playground and square,etc. The purpose of the plan is to make the sports center be one of the marks of Gaomi city, and reach set standards in order to hold province'level sports competitions and national-level monomial competitions.

该高密体育中心位于高密行政中心东南侧，包括体育场、体育馆、游泳馆、体校、室外运动场地、广场等，规划的目标是使该体育中心成为高密市的标志之一，达到承办省级综合体育赛事、国家级单项体育赛事的标准。

These high precision instruments are more than 20 kinds and widely used for oil industry to measure the monomial parameters of taper, pitch and height screw for oil pipe, canola and drill shank.

该系列产品是广泛应用于石油行业的高精密仪器，共有20多个品种，主要用于石油油管、套管、钻杆锥形螺纹的锥度、螺距、高度等单项参数的测量。

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。

Second, we think about the Conjecture(Conjecture8.7,Conjecture8.23;[2]Conjec-ture2.3) and prove that some particular ideals have the same graded Betti numbers via shifting operations,that s,.if is a simpcial complex and I is a monomial ideal generated in one degree,we have that...

后一部分的主要结论是：针对J.Herzog提出的猜想([1]猜想8.7，猜想8.23；[2]猜想2.3)，证明了当I_Δ为同一次数生成元生成的稳定理想时，对i，j，有β_=β_。当I_Δ为无平方分量线性理想，特别地当I_Δ是弱稳定理想时，对i，j，有β_=β_=β_。

Second, we think about the Conjecture(Conjecture8.7,Conjecture8.23;[2]Conjec-ture2.3) and prove that some particular ideals have the same graded Betti numbers via shifting operations,thats,.if is a simpcial complex and I is a monomial ideal generated in one degree,we have that ij = ij, for i.j.

后一部分的主要结论是：针对J.Herzog提出的猜想([1]猜想8.7，猜想8.23；[2]猜想2.3)，证明了当I_Δ为同一次数生成元生成的稳定理想时，对i，j，有β_=β_。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。