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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 MGPXRC can be used to measure the focal spot size of X-ray source with a larger emitting angle than the critical angle of the total reflection of X-rays.

分别利用多毛细管准直器法和常用的小孔成像法测量了同一微焦斑X射线光源的焦斑直径,测量结果分别为60.8和59.4 μm。

For example, the following statement is correct: System.out.println(x = 1); which is equivalent to x = 1; System.out.println; The following statement is also correct: i = j = k = 1; which is equivalent to k = 1; j = k; i = j; In an assignment statement, the data type of the variable on the left must be compatible with the data type of the value on the right.

例如,以下声明是正确的: 55 System.out.println (十= 1 );这相当于为x = 1 ; 55 System.out.println ;以下声明也是正确的:= j =当K = 1 ;这相当于当K = 1 ; j =钾;=焦耳;在转让的声明中,数据类型的变量在左边则必须与数据类型的价值,对正确的。

A verifier can be convinced that the committed number x is neither less than the integer a nor more than the integer baiter the protocol is operated only once, and hence the exact proof that x lies in the interval is achieved.

为了去掉这种方法上的重复性,通过联合运用两承诺值相等协议及CFT证明协议提出了一个证明承诺值位于特定区间的新协议,协议运行一次便可使验证者确信承诺值x位于区间中。

Under weighted squared error loss, it is showed that a least favorable prior, when estimators are restricted to be polynomials of X with degree no more than k, exists and has at most (k+2)-point support, and its Bayes solution, under above restriction, is a k/sup th/ polynomial minimax estimator.

是观测值X的期望值,在X的多项式函数中,於加权平方误差损失之下,本文考虑使其最大风险最小化的多项式大中取小估计式。

This paper describes a feasible calibration method, its basic principle for calibrating is: A certain function relationship is existed in equivalent inductance L of coil and the distance x between the object to be measured and the sensor coil, the measurements can be conducted with this function relationship by using frequency modulation. The calibrating system consists of measuring electric circuit, high stable voltage power supply, digital frequency meter, the conductor to be measured and the calibrated displacement sensor.

文中叙述了一种较为可行的标定方法,其标定的基本原理为:线圈的等效电感L和被测物体与传感器线圈的距离x存在一定的函数关系,利用这种函数关系用调频法进行测量,标定系统由测量电路、高稳定度稳压电源、数字频率计、被测导体及被校位移传感器组成。

Micro-computer monitors work inside the electron gun to emit electronic, through the acceleration of high-voltage electrode, adjust shooting at the screen, the screen of fluorescent material by high-speed electronic flow impact, resulting in X-ray, scientific evidence shows that more than 20 of each year only Guoqin dose of radiation, will constitute a harm to humans, operate microcomputer year will not be more than 0.3 Roentgen of exposure; even when engaged in computer work for 30 years, the cumulative exposure will not be sufficient to cause human injury lowest half, but during early pregnancy (the first 3 months) the fetus is in a cell division, organ differentiation sensitive period, or should be:(1) hours of work per week is not more than 20 hours (2) one meter away from the computer (3) wearing protective skirt (4) work completed Huanyi bath in order to reduce the electromagnetic radiation on the impact of the fetus.

微电脑显示器工作时,内部的电子枪发射出电子来,经过高压电极的加速,调整射向荧光屏,屏幕上的荧光物质受到高速电子流的撞击,产生X射线,科学论证表明,每年只有超过20论琴的剂量照射,才构成对人体的伤害、操作微机一年也不会超过0.3伦琴的照射量;即使从事微机工作30年,累积的照射量也不足以造成人体损伤最低值的一半,不过妊娠早期(头3个月)胎儿正处于细胞分裂,器官分化的敏感时期,还是应当:(1)每周工作不超过20小时(2)距电脑一米开外(3)穿防护裙(4)工作完毕洗澡换衣,以减少电磁辐射对胎儿的影响。

X are under implementation, there is a need for hard drive cloning, please enter the Ghost subdirectory, run Ghost.exe procedures should be noted that, if it is in The program runs under DOS when running the program to start before the best mouse driver for DOS, because the operation of Ghost is like a window screen frame, use the mouse to click to choose will be more convenient - although it can be used to operate the keyboard.

Ghost就是克隆硬盘的程序,该程序在DOS下、Windows9.X下都可执行,所以要进行硬盘的克隆,请先进入到Ghost子目录,运行Ghost.exe程序,需要注意的是,如果是在DOS下运行该程序时,在运行该程序前最好启动DOS的鼠标驱动程序,因为Ghost的操作画面是仿窗口画面,使用鼠标点击来选择会方便一些--虽然也可以用键盘来操作。

For the Q of a coil. most measurements, R will be about 0.10 X and should have a voltage of 0.1 V. Most oscillators cannot be operated into this low impedance, so a step-down matching transformer must be employed.

为Q的线圈。最测量, R将约为0.10 X和应该有一个电压为0.1诉最振荡器不能经营成本低阻抗特性,所以下台的配套变压器必须被雇用。

Melting point 3410 ℃, boiling point 560 ℃, relative density of 1935, F the external electronic structure of 5d46s2, in the chemical reaction time is very easy to lose 1-6 electronic, but also can get 1-2 electronic, so oxidation number of 0,± 1,± 2, 3, 4 , 5 and 6, with 6 price of the most stable compounds, such as WO3 does not dissolve in water, the air will form in the tungsten trioxide thin protective layer of tungsten, tungsten with fluorine at room temperature, chemical combination, red hot when there is no moisture and Bromine iodide together, red hot when you can and water reaction WO3, at room temperature reaction of tungsten with aqua regia, but the hot concentrated hydrochloric acid and sulfuric acid can only be played with its weak response, but molten nitrate, nitrite, too Hydrogen peroxide, sulfur steam, steam and other phosphorus can play intense reaction, high temperature can not be carbon, boron and silicon reaction of binary compounds, widely used in industrial tungsten steel and tungsten carbide, pure tungsten filament is used to the system, and X-ray tube Tube heating components, semiconductor components can be prepared tungsten silicide, tungsten industrial production is white or black tungsten ore tungsten ore refining.

熔点3410℃,沸点560℃,相对密度1935,F外围电子结构为5d46s2,在化学反应时很容易丢掉1—6个电子,也能得到1—2个电子,所以氧化数为0、±1、±2、+3、+4、+5和+6,以+6价化合物最稳定,如WO3不溶于水,空气中的钨会形成薄层三氧化钨保护层,钨能与氟在室温下化合,红热并无潮气时能与溴、碘化合,红热时还能和水反应生成WO3,室温下钨可与王水反应,但热的浓盐酸和硫酸只能与其起微弱反应,但对熔融的硝酸盐、亚硝酸盐、过氧化氢、硫蒸汽、磷蒸汽等能起激烈反应,高温下不能与碳、硼和硅反应生成二元化合物,工业上广泛使用钨钢和碳化钨,纯钨用来制灯丝、电子管和X射线管的发热元件,硅化钨可制半导体元件,钨工业生产是将白钨矿石或黑钨矿石精炼。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。