查询词典 approximate formula

The assumption of the variable tendency of slip-line in active zone is made based on the numerical results. Combining the slip-line equations and boundaries, the formula of bearing capacity is deduced which can consider the density of soil. The formula of bearing capacity of strip footing on ponderable soil is also deduced assuming that the slip-line field of ponderable soil is the same with that of weightless soil, which is proved to be an upper-limit solution, as its the same with that deduced by the upper-limit method in Prandtl mechanism.

在数值计算结果的基础上，对有重土地基主动区滑移线变化趋势进行了合理假设，根据边界条件和特征线方程求得了条形基础极限承载力的解析表达式，该表达式可以计算考虑土重度的条形基础的极限承载力；获得了不考虑重度对滑移线场影响时(即有重土在普朗特尔滑移线场下)极限承载力的解析表达式，该表达式与普朗特尔机动场对应的极限承载力上限解的表达式相同，这就从理论上证明了在土重度对滑移线场没有影响这一假定前提下得到的极限承载力是一个上限；(3)利用上限定理求解了极限承载力的最小上限。

In response to the relationship between cavitations and wake gradient, this paper puts forward 3 kinds of calculating model of propeller exciting force , then puts the actual exciting force into pattern formula, and then obtains a new formula to predict propeller-induced hull surface pressure fluctuations by analyzing and calculating some actual ships.

在深入研究国内外螺旋桨激振力计算方法以及综合分析影响螺旋桨激振力的各种要素的基础上，根据空泡数和伴流梯度的关系，本文提出三种螺旋桨脉动压力的计算模型，将反推得到的实际激振力分别代入模型公式，应用数学统计方法对几条实船进行计算分析，得到用于预报螺旋桨表面力的新公式。

Next in section 2.3,usingthe finite isolated regular representations in SO(3)character varity of 〓,weobtained a computation formula of SO(3)Donaldson invariants with degree 1 of4—manifold 〓(Theorem 2.3.1).Finally in section 2.4 wediscussed the Donaldson invariants of 4—manifolds with smoothly embedded 2—torus 〓 whose selfintersection is +1,with the help of the single irreducibleSU(2)representation of the principal 〓—bundle over a 2—torus with Eulernumber—1,we got a gluing formula of the Donaldson invariant on the 2—homology represented by 2—torus 〓(Theorem 2.4.1),it is a supplement of P.

最后在§2.4我们讨论了具有自交数为+1的嵌入环面〓的4—流形的Donladson不变量，运用环面上欧拉数为-1的圆丛的单个不可约SU（2）表示给出了Donaldson不变量在环面表示的同调类上的一个粘合公式（定理2.4.1），这一结果补充了P。

By studying the present calculating formula of rectangular drawpiece blank size, this paper gains the major reason of inducting error,and obtains new more accurate formula,according to the same principal that surface area is equal before and after drawing.

对现有盒形拉深件坯料尺寸计算公式进行了分析，得出其误差存在的原因，并根据"坯料面积与拉深件面积相等"的原则得出了较为准确的盒形拉深件坯料尺寸计算新公式。

Then, in the study of finite degree of freedoms, we introduce the principle of least action, the Lagrangian formula, and the Hamiltonian formula.

然后在讨论多自由系统中引入最小作用量原理，并介绍拉格朗日、哈密顿程式。

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。

The error spectra obtained from the results of the data processing by different operators based on rectangular formula, trapezoid formula and their compensation forms are discussed, through which some error features of these operators are obtained.

文中在总体上讨论了诸如矩形公式、梯形公式以及它们的补偿形式等数据处理方法的误差谱，讨论了它们的一系列性质，例如对称性、周期性。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。