任一

In this paper, the Lagrange interpolation formula asked a class function expression question, the determination function to the higher mathematics in the elementary mathematics in some value scope question, the equality proof question, the multinomial factorisation question, to ask to have the Finite series to pass the formula question, the certificate any n function at will n+1 different spots function value maximum value minimal problem and so on six aspects should serve as the simple introduction, and has separately made the comparison with these six aspects elementary mathematics method, thus solved some operation problems in elementary mathematics.

摘要本文对高等数学中Lagrange插值公式在初等数学中的求一类函数表达式问题、确定函数在某点的取值范围问题、恒等式的证明问题、多项式的因式分解问题、求有穷数列的通项公式问题、证明任一n次函数的随意的n+1个两两不同点的函数值的最大值的最小值问题等六个方面的应用作了简单介绍，并与这六个方面的初等数学方法分别作了比较，从而解决一些初等数学中的运算问题。

Leastsquare method and Lagrange's interpolation formula see their applicationsfor fitting fore-and-aft lines-whose aim is to calculate the intersection point ofequivalent inclined waterline-and differences. In order to replace theinconvenient alternate conduct of drawing and calculating, improvement hasbeen introduced into the paper which means all work can be done bycomputer. Capacity calculation cannot be done without boundary layer build-up. Fit every area curve and area moment curve is necessary because ofinterpolation.

在第二章中，给出了B样条函数的数学表达形式，推导了B样条曲线下所围面积、面积矩公式；讨论了最小二乘法和拉格朗日插值法的数学形式，并在拟合船体型线上给出首、尾轮廓线的具体实例，对比不同方法进行拟合的差异，其目的是为了求得与等体积倾斜水线的交点；而水线的确定改变了以往人工作图与计算交替进行的不足，尝试用计算机完全代替人工作图，以求有所改进；在舱容计算中，在至少包括舱室前、后壁的范围内拟合横剖面积、面积矩曲线，插值求得任一纵向位置处的剖面，以解决舱室边界条件。

Results the image data of spiral CT have been sent into PACS and recorded in CD-R At any moment the pictures of image data can be shown on terminal, can be applied to make teaching lantern slide by Power Point and to make multimedia teaching software by Authorware.

结果 ：运用FTP软件把工作站里制作好的彩色图像信息传入PC机并进入我院PACS系统进行光盘刻录，存储于光盘塔中，可随时用PACS系统中的任一PC机调出，用ACDSee32、Photoshop、Win98 映象等软件显示和打印彩色图象，用Powerpoint来制作教学幻灯片，用Authorware来制作多媒体教学软件。

Any element of the lanthanide series (atomic numbers 57" through 71").

稀土属的任一种元素。

Any of several types of small,light sailing ships,especially one with two or three mast s and lateen sails used by the Spanish and Portuguese in the15th and16th centuries.

小帆船任一种轻快的小型帆船，尤指15和16世纪西班牙人和葡萄牙人乘坐的带两三个船桅和大三角帆的帆船

A subset D of R is called to have property L, if there is a Lebesgue number for every family of open interval covering D.

该定理的证明通常都是利用闭区间的这样一个性质：覆盖闭区间的任一开区间族具有有限子族扭盖该闭区间参见

The proof shows that any functor which is a left adjoint is right exact.

该证明指出，任一函子，如果是一个左伴随，就右正合。

It seems to me that either of these methods is perfectly legitimate .

在我看来这些方法的任一种都是完全合理的。

When the cost of inventories is determined using the LIFO formula in accordance with the allowed alternative treatment in paragraph 23, the financial statements should disclose the difference between the amount of inventories as shown in the balance sheet and either

当存货的成本根据第23段所允许的备选处理方法采用后进先出法确定时，财务报表应该揭示资产负债表所反映的存货金额与以下任一金额之间的差额

Generally speaking, any linguistic form has its own meaning.

一般来说，任一语言形式都具有它本身的意义。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。