函数值

If the value is less than or equal to all other function values, it is an absolute minimum.

如果这个值小于或等于所有其它的函数值，那它就是绝对极小值。

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 results indicated that the weight determined by analytic hierarchy process was in accord with the actual needs; fuzzy evaluation could easily make quantative comprehensive results; f-function values estimated on the basis of analytic hierarchy process and fuzzy transformation were convenient for giving the quality order of different unblended cigarette samples.

结果表明：层次分析法确定各单项指标的权重符合实际的评吸要求，模糊综合评价容易给出定量的综合评价结果，在此基础上计算f函数值便于对不同的单料烟样品进行排序。

A tapered incident wave is used to reduce the truncated error. The angular correlation function is calculated by Monte-Carlo generated rough surface, the enhancement on nonmemory line of the ACF can be used to detection a target placed over or under the rough surface.

在散射目标存在时，目标与粗糙面的复合多次散射场的角相关函数，在不满足记忆线条件下也有普遍较高的角相关函数值，即在非记忆线上的增强可以用于检测粗糙面上方、下方的散射目标。

One bases on function value and another bases on arithmetic average difference quotient. In this paper, the author mainly studies the approximation properties of both the function value and the derivative of two kinds of splines interpolation mentioned before, and the optimal error constants are obtained finally.

文中分别就这两类插值样条的函数值及一阶导数的逼近性质展开讨论，相应得出这两种插值函数在被插函数分别为一阶连续可导和二阶连续可导情况下的最佳误差常数。

The critical aspect ratio of the fiber is defined as the crosspoint of the tangent value of the inflexion and the asymptote of the maximum elastic modulus.

将与曲线拐点切线和最大值水平直线交点相对应的长径比值定义为纤维临界长径比，将与此相对应的函数值定义为弹性模量临界值。

From our results, it can be known that the weakly asymptotic order of the information-based algorithm whose recover function is the classical Bernstein interpolation sequence is below that of the corresponding minimal information radius whose permissible information operator is function value.

通过我们的结果可以知道，以经典的Bernstein多项式算子列作为计算恢复函数的信息基算法，其在Wiener空间(或1-重积分Wiener空间)下的的平均误差的弱渐近阶均低于相应的以函数值计算为可允许信息算子的最小平均信息半径的弱渐近阶。

One is always stored, one is never stored, and the third is stored depending on the value of a Boolean function

一个总是被存储，一个从不被存储，另外一个根据布尔函数值来确定是否被存储。

For the radical function where p(z is a polynomial of degree N with multi-branch points, this paper obtains a general method to get the function value on the given branch of analytic function.

对于具有多个有限支点的根式函数（其中p是任意的N次多项式），得到了求某个特定单值解析分支上的函数值的一般方法。

The aspect of discuss in this paper such as anisotropic dipole antenna radication field numeral calculation and wave parameter calculation has little documentation systematic introduce at the present.

在研究过程中，涉及到复宗量贝塞尔函数的数值计算，由于它对本文的结果影响较大，且各种数学手册无虚宗量贝塞尔函数值可查，所以对其进行了较为详细的研究。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。