近似公式

The formula can be used in approximate calculation of instable critical load of high pier in the design and construction.

本文利用能量原理的Ritz法，在对截面惯性矩变化作线性假定后，推导出变截面空心薄壁高墩失稳临界荷载近似计算公式，可用于设计施工中对高墩失稳临界荷载的近似计算。1中心压杆稳定理论及能量原理中心压杆的失稳问题是稳定问题中的一个最基本的问题。

They concluded that the derivative-free formula is not exact under the assumed conditions, but it is a very good approximate reconstruction formula.

黄朝志等发现在1993年发表的非圆轨迹不含导数的扇束重建公式推导中的一个错误他们的结论是：在假设的条件下，不含导数的重建公式不是精确的，但是一个很好的近似重建公式。

It enlarges the range of quasi-linear Born approximation, and makes the prestack depth migration method based on quasi-linear Born approximation to be able to adapt strong lateral velocity variation.

在散射波场计算中，使用了一个更稳定的散射波场计算公式，扩大了拟线性Born近似的应用范围，使基于拟线性Born近似的叠前深度偏移方法能够适应更强的横向速度变化。

The calculations have shown that the second Born approximation can give better results,as compared with experiments.The prediction of K-W formula is only equivalent to the first Born approximation.

结果表明第二玻恩近似结果与实验结果符合得比较好，K-W公式的预言只相当于第一玻恩近似。

The differences of major frequency-domain characteristics and the interior relationships between electrode and electrodeless lamps are compared.

有电极荧光灯电子镇流器的分析和设计是基于镇流器谐振环的频域基波近似分析，从中得到谐振环的谐振频率公式、阻抗角公式、输出电压和电流公式。

Both upper bound formula and lower bound formula of the global truncation error of Euler method have been derived theoretically.After making certain approximat e processing,the derived upper formula changes into current upper bound formula.

从理论上推导出了欧拉方法的整体截断误差的上限公式和下限公式，作一定的近似后，得到的整体截断误差上限公式就变为现用的整体截断误差上限公式。

Using the infinite product of unevenly distributed probability space with potential of 3, the concept of formula truth degree was introduced into the Gdel 3-valued propositional logic system. Moreover, it was proved that in the 3-value (1/4, 1/2, 1/4), measure the set of truth of degree of propositions was dense in [0, 1], and a general expression of truth degree was obtained, providing a basis for further developing approximate reasoning of 3-valued propositional logic system.

利用势为3的非均匀概率空间的无穷乘积，在Gdel三值命题逻辑系统中引入公式的真度概念，在三值逻辑(四分之一，二分之一，四分之一)测度下证明G3中全体公式的真度值之集在[0， 1]上是稠密的，并给出公式真度的表达通式，为进一步在三值命题逻辑系统中展开近似推理奠定基础。

This paper introduces the Taylor formula of one dollar and multi-definition, then the proof of the value from the formula, respectively, that inequality in the value of derivatives is estimated that about industry estimates, demand infinity limit, the median point of the limit function limits, approximation, function equations and so on Taylor formula to do the induction.

本文首先介绍了一元和多元泰勒公式的定义，然后分别从证明中值公式，证明不等式，导数的中值估计，关于界的估计，求无穷远处的极限，中值点的极限，函数的极限，近似计算，函数方程中的应用等方面对泰勒公式的应用做了归纳。

It was supposed that the dynamic moving process of the stock price and the return was driven by Geometry Brownian Motion and the lognormal distribution respectively. Takinginto account the riskneutral environment, we got a closedform analytical formula for deferred arithmetic asian options by the method of Taylor expansion of the stochastic integral formula within the terminal payoff. Furthermore, with the series definition of the definite integral, we transferred the continuous problem into a discrete one which is simpleenough to figure out. Meanwhile we tested the accuracy of the formula with the Monte Carlo simulation as a benchmark and the result shows that the formula can be utilized to price the related financial derivatives.

在标的价格服从几何布朗运动、收益服从对数正态分布的前提下，通过风险中性定价原理，对到期损益中的随机积分进行任意次Taylor近似，并由级数定义将此连续问题离散化，给出了延期算术平均亚式期权封闭形式的解析定价公式，并与Monte Carlo模拟得到的价格作为标尺对得到的公式进行精确性检验，结果表明，所得公式可以应用到金融实务中对此类衍生品定价中。

The formula calculating the first frequence of the bridge with the pile foundation is derived by using the Rayleigh Principle.

用Rayleigh法推导了桩基桥梁的第一自振频率的近似计算公式；在动力学效的原则下建立了桩—上—上部结构体系的等代简化模型，导出了动力等效嵌固深度l〓的计算公式，并与静力等效嵌固长度Z〓的计算公式进行对比分析，给出了静力公式的误差范围。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。