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Based on the second- and fourth-order compact difference formulas for second-order derivatives and the idea of weighted average, two classes of the alternating direction implicit method are proposed for solving two-dimensional wave equation. The methods are of accuracy O (T^2+h^4) and O (T^4+h^4) respectively. Stability conditions are obtained by Fourier analysis method.

基于二阶微商的四阶紧致差商逼近公式及加权平均思想，提出了数值求解二维波动方程的2种精度分别为O(т^2+h^4)和O(т^4+h^4)的交替方向隐式格式，以及与其相匹配的第一个时间层的同阶离散格式，并且通过Foulier方法分析了格式的稳定性。

On this basis,the PDC bit's fivepoint survey theory is developed,and a series of formulas are derived,applying PDC bits' geometry and analytic space geometry.

在此基础上，运用PDC钻头几何学和空间解析几何学中的四点共面、行列式、坐标变换的知识，提出并推导出了PDC钻头的五点测绘理论及系列公式。

To solve the B-Ss pricing formulas,there are many popular methods now,such as partial differential equation,analytical approximation,binomial tree methods,finite difference method and Monte-Carlo simulation.

对于Black-Scholes期权定价模型，如今比较流行的定价方法有偏微分方程、解析近似方法、二叉树方法、有限差分方法和Monte-Carlo模拟等。

The analytical geometry is used to study the formulas of Moire fringes for the measurement of screen line, to analyze the geometric forms and their properties of Moire fringes , and further discusses the bases of theory for the measurement of screen line.

本文用解析几何学方法研究测量网线的莫尔条纹方程，分析莫尔条纹的几何形状与特性，并且进一步讨论网线测量的理论依据，旨在深刻地揭示测量网线的莫尔条纹原理。

Comparing the improved Taylor formula and other projection angle formulas, the improved Taylor formula correctly reflected the decreasing process of the projection angle to the final value and could describe the projection angle more accurately.

利用数值模拟得到的结果比较了平板驱动几种不同的抛射角公式，改进的泰勒公式准确反映出了抛射角下降并趋于终态的规律，其对平板抛射角的描述更为准确。

According to angular velocity direction of gears, final transmission efficiency simplified formulas are induced.

根据两中心轮的角速度方向，最终归纳出了差动轮系效率计算的简化公式。

With the experiment, the approximate calculation formulas about the rectangular scanning and the rectangular scanning area are derived.

实验证明了这种通信方式和扫描技术的可行性，为后续研究和实际应用奠定了良好基础。

Many methods on calculation of deflection of prestressed concrete beams have been proposed both at home and abroad, most of which were empirical formulas for approximate engineering calculation.

有关预应力混凝土梁的挠度计算，国内外学者提出了不少计算方法，但几乎都是以满足工程要求为前提的近似经验公式。

In this dissertation, the following critical theoretical problems on local La-grangian numerical differentiation are studied: explicit formulas, local estimate for the remainder, and the highest order of approximation in the case that the values of the function at these interpolation nodes have perturbationsLagrangian numerical differentiation is a method that the Lagrange interpolation polynomialis differentiated to approximate the derivative, where Tn ={t_0,t_1,......

本文主要研究有关局部Lagrange数值微分法的一些关键性的理论问题：公式的显式表示，余项的渐近估计，以及在插值数据有扰动的情况下，局部Lagrange数值微分法的最大逼近阶。

The polynomial approximation method is also employed to obtain simple formulas for frequency and amplitude correction.

本文利用多项式逼近方法获得了频率和幅值修正的计算公式。

In addition, unpredictable weather patterns are causing more weather-related hunger, the WFP said.

另外，不可预知的天气变化造成了更多的饥饿群体，世界粮食计划署说。

Well, I had one win a Chester and that is exactly what happened!

嗯，我有一次赢得过Chester，而且就是那样发生了！