查询词典 rectangular formula

Highly precise quadra order non-linear formula is set up, which gives the satisfactory density value of highly pure aluminum (99.999~99.99999 %) at 20 oC.Linear approximate formula for the density calculation of 99.75% primary aluminum (molten point in the range of 658.7℃～1100℃) derived f...

以Jagrangian插值的二次多项式和一次多项式导出的 99.75 %原铝(熔点 6 5 8.7℃～ 1 1 0 0℃)的密度计算的线性近似式、该式子较文献〔1〕所述的还要简单，而数值计算结果却高度吻合。

By analysing the compute result of the quadratic approximation formula, we educe the conclusion that 3 is the best rank code for the quadratic approximation formula.

通过对最小二乘拟合公式实际计算结果的分析，得出了"拟合公式阶数取3为最佳"的结论。

As using Gaussian numerical integration, this paper uses Gauss-Legendre quadrature formula instead of Gauss-Chebyshev quadrature formula in order to avoid the precision decrease due to the singularity of cut-off error at both end points.

在利用高斯型求积公式进行数值积分时，本文采用高斯—勒让德求积公式取代高斯一切比雪夫求积公式，以避免因截断误差在端点出现奇异而导致的精度下降。

In the third chapter, the contractilities and asymptotical stabilities of neutral delay integro-differential equations are concerned. The extended Runge-Kutta methods, with the compound quadrature formula and the Pouzet quadrature formula, are numerically stable under suitable conditions. The numerical experiments prove this result.

第三章，研究了中立型延迟积分微分方程，其理论解的收缩性和渐近稳定性，利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法，并获得了数值方法的稳定性条件，随后的数值试验结果进一步证明了方法是数值稳定的。

In the second chapter, generalizing the contractilities and asymptotical stabilities for multi-delay integro-differential equations. Under proper stepsize, we obtain the discretization schemes of Runge-Kutta methods with the compound quadrature formula and the Pouzet quadrature formula, and besides, derive the global and asymptotical stabilities. Moreover, the numerical experiments show that the presented methods are highly effective.

第二章，考虑了多延迟情形下的积分微分方程，推广理论解的收缩性与渐近稳定性结果，在适当的步长下，利用复合求积公式与Pouzet求积公式扩展Runge-Kutta方法，获得离散的计算格式，并且证明了方法是数值稳定的，此外，数值试验表明此计算方法在实际应用中是非常有效的。

On the other hand, this paper introduces the idea of making the use of general formula or recurrence formula to resolve the summation problem and debugging the program on the blackboard.

另外，本文提出了利用通项公式或递推公式求和及在黑板上调试程序的思想。

The author studied the formula of the sum of natural number power, and got a recurrence formula of the coefficient about the sum of natural number′s power, it was better than the other formulas that had been obtained.

研究了自然数方幂和的表示公式，给出了其系数的一个递推关系式，利用递推公式很容易得到幂和的各项系数，为计算机解题提供了依据。

Present a new formula to evaluate the overflow value when upward recursion was used and an improved formula when downward recursion was used.

2利用Mie理论和尺度分布计算了水云的单次散射特性，和资料进行了对比，证明了本文计算方案的可行性。

And thus we ve worked out a new recursion formula of power sum problem ,using it ,we can get the calculationg formula of all the power sum problem .

本文利用二项式定理得到K =8，9，10 ，11时幂和∑ni=1ik 的计算公式，较文[1 ] 中结果表达式简单，并推出了关于幂和问题的一个新的递推公式，利用它可导出所有幂和问题的计算公式。

Moreover, a recursion formula involving the Kth and (K+1)thpolymer moments are deduced. As a result of the recursion formula, theexpressions of the 0-th, 1-th, 2-th and 3-th polymer moments as wellas the number-, weight- and Z-average molecular weight are obtained.

得到这两类反应体系的K次和（K+1次高分子矩的递推公式，分别计算了两类反应体系0、1、2和3次高分子矩，进而得到了相应的数均，重均，Z均分子量。

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。