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In Chapter 2, one kind of rational cubic spline interpolation with linear denominator has been proposed, whose derivatives are replaced with accurate derivative values, difference quotient and arithmetic average difference quotientrespectively.

第二章给出了一类分母为线性的有理三次插值函数，当其导数值分别取为导数的精确值，一阶差商，以及算术均差商时，便得到三种插值格式，分别为给定导数值的有理三次插值函数，基于函数值的有理三次插值函数，以及基于算数均差商的有理三次插值函数。

After analyzing and processing the grating reticle image collected by CCD, the mapping coefficient can be accurately calculated from grid size to pixels. Comparing the fore-and-aft two grating reticle images after the worktable moved. Adopting phase difference ratio arithmetic based on Lissajous figures,the phase difference of two images will be figured out. The displacement of the worktable can be further calculated by the mapping coefficient.

调整光路使CCD获取清晰的光栅图像，对图像进行分析处理，计算出栅距与像素之间的映射关系，再对工作台移动前后的光栅图像进行对比，采用基于李萨如图的相位差比率算法获取它们的像素位置差，从而计算出工作台的实际运行位移。

The formula above requires squaring the difference between the two points, but since we are using fixed point arithmetic, we found that squaring the difference produced too large of a number causing our variables to overflow.

该公式需要平方以上两点之间的差异，但由于我们使用的是固定点算法，我们发现平方差产生太多的变数造成的溢出数量大。

People's esthetic ability has not stopped the advance throughout the footsteps, also respectively has the difference by chance to the artware affection, thus appeared in the modelling difference.

人们的审美能力始终没有停止前进的脚步，对艺术品的喜爱偏好也各有不同，因而出现了在造型上的差异。

Limiting the time term's test shows that the influence is very small to the judgment influence of the sense of vision depth of the athlete, for common high school student the influence is very clear. As the member of team in different position, the total ascending has the certain difference; the depth sense of vision level of the forward in totally higher than vanguard and rearguard, the vanguard is total with the depth sense of vision level of the rearguard ascend did not show the very difference.

限定时间条件对运动员的视觉深度的判断影响很小，对于普通中学生影响显著。15年龄段场上不同位置的队员的视深能力总体上有一定的差异；前锋的深度视觉水平在总体上要高于前卫和后卫，前卫和后卫的深度视觉水平总体上没有显著差异。

The results show that more modalities can be excited from asymmetric system and that there is little difference between the power flow spectra of rigid raft system and flexible raft system in middle and low bands of frequency, but there is considerable difference at high frequency.

研究结果表明，非对称系统能激励出更多的模态；在中低频段弹性浮筏系统和刚性浮筏系统的功率谱没有很大的区别，但是在高频段差别则很明显，浮筏的弹性模态起着主要作用；减小隔振器的刚度并适当增加隔振器阻尼不仅可以降低传递到基础的功率谱，同时还可以抑制共振减小冲击。

By using the difference inequalities, the asymptotic behavior of solutions to forced nonlinear neutral difference equations is studied.

利用差分不等式研究了具有强迫项的非线性中立型差分方程解的渐近性，得到了方程的解趋于零的充分条件

In system on chaos state, motion trajectory controlled by a equation is sensitive to initial conditions. For example, two trajectory from two close initial values were not very difference at short notice. But the distinct difference will presented consequentially after an enough long time.

混沌状态下的系统，按照某方程运行的轨道敏感地依赖于初始条件，例如从两个邻近的初值出发的两条轨道，在短时间内似乎差距不大，但在足够长的时间以后，必然呈现出显著的差别。

The effects of crystalline structure, atomic radius difference, electronic structure and electro-negativity difference of eIements were discussed.

讨论了组元晶体结构、原子半径差、组元电子构型、电负性差等因素与低稳定性化合物之间的关系。

Furthermore, the metallic glass samples are prepared by vacuum injection method and the rationality of above-mentioned relationships and RBF models is directly verified. It is shown that there are extremum phenomena between the Rc andΔd ,Δe and v respectively. However, the positions of the extremum are different from different alloy systems and the extremum phenomena may be related to the optimum composition region and the optimum additive quantity. More elements in the alloy are in favor of the improvement of the GFA. And as for the high GFA alloy, the atomic percentage, atomic radius difference and atomic electronegativity difference are harmoniously matched.

d、Δe和v与临界冷却速度Rc的关系中都出现极值现象，对于不同的合金体系，极值出现的位置不同；金属玻璃的最优成分范围以及各种添加元素的最佳添加量行为，可能与此极值现象相关；合金中包含的组元数目多有利于提高其玻璃形成能力，玻璃形成能力强的合金，其各个组元的原子百分含量、组元原子半径差及其电负性差之间的搭配是很和谐的；融合建模的合金系之间包含的主要组元数量和种类越相近，所建立的模型的可靠程度越高，其预测结果与实测结果越吻合。

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％。