查询词典 integral formula

The quadrature formula about surface integral on any quadrilateral element is deduced by means of isoparametric transformation and bilinear interpolation.

通过对三维有界区域的边界曲面作四边形网格剖分，用有限元方法处理高斯公式中的曲面积分，由等参变换及双线性插值导出任意四边形单元上曲面积分的数值求积公式。

By discussing the position hypothesis of fractional-dimension derivative about general function and the formula form the hypothesis of fractional-dimension derivative about power function, the concrete equation formulas of fractional-dimension derivative, differential and integral are described distinctly further, and the difference between the fractional-dimension derivative and the fractional-order derivative are given too. Subsequently, the concrete forms of measure calculation equations of self-similar fractal obtaining by based on the definition of form in fractional-dimension calculus about general fractal measure are discussed again, and the differences with Hausdorff measure method or the covering method at present are given. By applying the measure calculation equations, the measure of self-similar fractals which include middle-third Cantor set, Koch curve, Sierpinski gasket and orthogonal cross star are calculated and analyzed.

通过讨论一般函数的分维导数的位置假设及幂函数的分维导数的形式假设，进一步明晰了幂函数的分维导数、分维微分及分维积分的具体方程形式，给出分维导数与分数阶导数的区别，随后讨论了基于一般分形测度的分维微积分形式定义导出的自相似分形的测度计算方程具体形式，给出了其与目前 Hausdorff 测度方法的区别，并对包括三分 Cantor 集合、 Koch 曲线、 Sierpinski 垫片及正交十字星形等自相似分形在内的测度进行了计算分析。

Because the temperature along the pipeline is not a constant, it changes the velocity of the negative-pressure-wave; the Romberg algorithm of numeric integral and the searching for algorithm are emloyed to locate the leakage.Multi-scale decomposition and reconstruction of wavelet transform is applied to filter the noise of negative-pressure-wave, which was brought by leakage. With the capacity to detect the signal singularity fast and accurately, wavelet transform was used to catch the break point of pressure signal. The work improved the accuracy of Δt in location formula, and the location accuracy is improved.

利用小波变换的多分辨分析和重构技术，对采集到的管道发生泄漏时产生的负压波信号进行了消噪处理；并利用小波变换技术对信号奇异点快速、准确的识别能力，对经过消噪处理后的负压波信号进行了奇异点捕捉，准确确定了定位公式中上、下游站点采集到的负压波奇异点的时间差△t，从而提高了定位的精度。

On the basis of that, in this paper, we deal with the distributions and moments of integral type functional for nonhomogeneous processes, and obtain computational formula of the distributations and moments.

在此基础上，对马氏骨架过程中非齐次过程积分型泛函作讨论，并且得到了它的分布与矩的具体计算公式。长沙铁道学院科研所！湖南长沙410075

Based on the higher mathematics method proved inequalities are summarized, and the proposed using the function extreme value and the monotonicity and concave and convex function sex, and mean value theorem, Taylor formula, integral these common higher mathematics method, combining with concrete examples of each kind of method to solve the problems for type, and the key problem of the specific steps, and points out that the inequality proof of higher mathematics method used properly, improve the difficult easy to ability to solve problems.

本文对不等式证明中的高等数学方法作了归纳总结，提出了利用函数的单调性，极值与最值，函数凹凸性，中值定理，泰勒公式，积分这些常用的高等数学方法，并结合具体实例阐述了每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，指出在不等式证明中恰当地运用高等数学方法可以化难为易，提高解题能力。

In this paper, find Euler's formula using double integral , power series convergence and uniform convergence in the convergence region.

本文利用二重积分公式，幂级数在收敛区间内的收敛性质、一致收敛性质及可逐项积分的性质来证明Euler公式

In the chapter 6, an overall analysis and appraisal for the reliability, function/performance and economy of RMCS is made; an integral index and its corresponding formula which takes into account the system reliability and function/performance level together is proposed; moreover, taking the economical optimality analysis into account, a criterion for appraising the overall quality of RMCS is built; finally, a case study is given.

第六章对可靠微机控制系统的可靠性、性能及经济性进行了全面的分析和综合评定，提出了反映系统可靠性与功能/性能水平的统一指标及其计算公式，引入经济最优性分析后，建立了评估系统综合质量特征的准则和方法，最后研究了一个应用实例。

A method which can directly compute the bearing capacity of the section according to parameter equation by Green Formula is put forward. bridge ; bearing capacity of normal section ; curvilinear integral

鉴于以上的缺点，本文提出一种用格林公式根据几何元素的参数方程直接计算截面承载能力的方法。1 桥梁正截面极限承载能力计算理论如图 1所示的空心板截面有一个外环和

This article employs the method of element changing in definite integral to spread the dimension formula of plane figures .

利用定积分的换元法，推广了平面图形的面积公

The formula of the overlap area and the overlap rate were derived from its definite integral form.

并利用积分方法，推导出了林木树冠发生重叠时的重叠面积和重叠率的计算公式。

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system.

分析了一种新的三维自治混沌系统吸引子的复合结构。

ON shut rivals out of their transmission systems and shy away from reinvesting their profits in network improvements.

ON将竞争者挡在了其输送体系之后，并不愿将其收益再投资于网络改建工作。