查询词典 formula of computation

Polar decomposition of deformation gradient in three dimensional states is often rather difficult, although it has already been solved success fully for plane problems. It is a commonly used technique to obtain the solutions through Cayley-Hamilton formula and three invariables of U. The paper introduces a nonlinear elimination method by use of orthogonal matrix's property, and gives a computation formula for polar decomposition.

变形梯度的极分解在平面问题中得到了很好解决，在三维空间问题中一直认为是相当困难，利用Cayley-Hamilton公式和U的三个不变量求解是目前普遍采用的方法，文章利用正交矩阵的特性，介绍了非线性逐次消除的方法，给出了右极分解的计算式。

Computation formula for expecting probability is derived from simple mathematics Computation method for continuousset and discontinuous set of expecting probability, give reference and academics to personnels who are engaged in engineering hydrology design and research.

本文以简单的数学推导导出了期望概率的计算公式；给出了连续系列和不连续系列期望概率的计算方法；具有可操作性。对于从事工程水文设计和研究的人员具有一定的参考价值和学术价值。

After that, by making use of dual basis, the general reconstruction formula about frame is discussed, and the computation formula for the dual frame is presented, in which no operators are contained.

然后，利用对偶基概念讨论了一般框架下信号的重构公式，并给出了对偶框架的具体计算公式，该公式不包含任何算符，可以明显看出基矢的相关性与框架类型之间的关系。

Main creative points of the thesis are as following:1. It is the first time to apply 2-D and 3-D turbulent model of the air-water two phases flow to the study on hydraulic properties of groyne. It makes description of the turbulent flow field to be possible precisely. This offers a more accurate method to determine the water surface in channel improvement.2. Based on the results of experiment and simulation for 3-D turbulent model of air-water two phases flow, a new formula to compute the height of damming is built.3. Based on the 2-D mode and the formula to compute the height of damming, the subdivision method of 2-D computation for water surface at upstream and downstream.

本文的创新工作主要是：首次将三维水气两相流紊流数学模型应用于丁坝水动力学特性研究，使丁坝附近流场和紊动场的精细描述成为可能，为航道整治中水面线确定提供了一个更为准确的方法；(2)基于水槽实验和三维水气两相流紊流数学模型数值模拟结果，建立了新的丁坝前奎水高度计算公式；(3)基于上述奎水高度计算公式和本文二维水面计算数学模型，首次提出了丁坝上下游二维水面分段计算方法。

In order to improve and simplify the solution, the relationship between frequency and cable tension was studied by conducting numerical iterative computation. Furthermore, the format of the existing formula for cable tension identification was investigated, and one set of practical formula for cable tension identification were proposed by employing numerical fitting method.

为提高精度及简化计算，通过分析迭代计算得到的反映频率与索力相关关系的曲线，和已有索力识别经验公式的形式特点，进行数值拟合，提出一组索力计算的实用公式。

In order to do so, a new direct formula is first developed to generate the fuzzy rules from the premise part in FNN. This direct formula not only guarantees a one to one mapping that maps the fuzzy membership functions onto the fuzzy rules, but also alleviates the coding effort during hardware implementation. It is further elaborated that the FNN with non-overlapped BPMF's has the advantage of faster on-line training which requires less computation time, but at the cost of more memory requirement to store the fuzzy rules.

本论文提出与查表法技术同等简易的具有非重叠方块脉冲归属函数之FNN控制器架构，并将两者之隐藏连系关系作一完整探讨，提供一套基於FNN设计观念来设计TL控制器的方法；而此一改良的架构也应用到汽车涡轮引擎喷水控制系统及高转速无刷直流马达控制器上，透过即时学习来克服系统非线性，并透过实作验证本系统在汽车涡轮引擎高温恶劣操作环境及无刷直流马达高速三相转换时间下仍保有极佳的性能，显示以具有BPMFs的FNN为基础的TL控制器是一强健的控制系统。

To a one-dimension case, the solution to the distribution of non-monotone function is given; to a two-dimension case, the transformation of random variable and the computation formula of its probability density are given when inverse transform has one value and multiple value, meanwhile, several deductive conclusions are obtained.

从一维与二维随机变量函数的分布的一般求法出发，对一维情形，给出了当随机变量函数非单调时其分布的求法；对二维情形，用随机变量变换的方法分别给出了当逆变换单值与多值时其分布密度的计算公式，并得到了若干推论。

Having analysed the localization of several typical methods for traveltime computation(finite difference method,linear interpolation method and so on) in briefly,authors put forward a method for traveltime computation based on nonlinear interpolation ,and deduced its calculation formula.

在简要分析目前最典型的几种地震波旅行时计算方法(如有限差分法、线性插值法等)局限性的基础上，提出了一种基于非线性插值的地震波旅行时计算方法，并推导了其计算公式。

In this paper a new recursive DFT is proposed based on sum-and-difference formula of trigonometrical function and solution of linear equations. Its computation work is nearly the same as that of traditional recursive DFT, but it can solve many problems effectively which can't be solved easily by traditional recursive DFT, such as algorithms for overcoming attenuation direct-current component part existing in power system.

文中基于三角函数的和差公式以及线性方程组的求解，提出了一种新的递推离散傅里叶变换算法，它的计算量与传统递推算法接近，但可以解决传统递推算法不易解决的许多问题，如适用于人们提出的克服电力系统中衰减直流分量对DFT影响的一些方法中，因而具有广阔的应用前景。

In order to measure the evolutional process, the judgment formula of convex-concave and convergence power of evolutional grey sequence are deduced, and the computation and graph methods of evolutional grey iteration are designed.

本文提出了一种新的软件工程方法&竞赛软件工程&，这是一个软件质量进化度量的过程框架。为度量这个进化过程，鬃者推导出灰序列凸凹性判断公式和收敛阶公式，并设计出计算判别法和图解判别法。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。