查询词典 summation formula

Now by using Dai's exact solution formula and studying the asymptotical behavior controlcondition and using the series expression of the famous Riemann Zeta-function in number theory,after introducing and proving a new representation theory of inverse Laplace transformation wedirectly obtained Chen's solution formulae and their unique existence condition without usingLaplace transformation and〓 inverse formula.

本文从带消发散参数的严格解出发，通过研究渐近行为控制条件，利用数论中著名的Riemann-Zeta函数的级数表示，引入并证明一个逆Laplace变换的新的表示定理，直接导出了陈等发展的级数解，并得到了级数解的存在、唯一性条件。

The formula group for the design of multi-phase micro Fresnel lens according to scalar diffraction theory was given and the transmission theory of spherical wave were used to deduce the relation of focal distance of the micro lens with spectrum resolution. According to the relation spectrum resolution is inverse proportional to focal distance given a certain incident wavelength and phase number, and the theoretic formula is consistent with reported experimental result.

光谱分辨率是评价衍射微透镜分光特性的主要指标，根据标量衍射理论，给出了多台阶位相型菲涅尔透镜的设计公式，并利用球面波的传输理论推导了微透镜主焦距与光谱分辨率之间的函数关系，得出在入射波长和位相台阶数一定的情况下，光谱分辨率与中心焦距之间呈反比；理论推导的结果与已发表的实验结果一致。

At first, the conventional elastic parameters inversion based on Shuey formula and simplified Shuey formula is discussed for the model of Chinese and Mexican, and the errors of inversion elastic parameters is analyzed.

对于不同地区、不同深度的含气和含水砂岩等各种模型其反演参数的误差情况不同，并且利用不同的入射角度对应的反射系数反演的误差也相差很大，许多情况反演的误差甚至非常大，没有一定的规律可循。

After simplifying the relation between Ne and time, the formula of 3D parallelbeam tomography is theoretically deduced and proved to be the same as the 2D CIT inversion formula derived by K.C. Yeh when it is applied to 2D cases.

在二维情况下，本文导出的三维平行束层析重建公式与Yeh等给出的二维电离层层析重建公式相同。

After simplifying the relation between Ne and time, the formula of 3-D parallel-beam tomography is theoretically deduced and proved to be the same as the 2-D CIT inversion formula derived by K.C. Yeh when it is applied to 2-D cases.

在二维情况下，本文导出的三维平行束层析重建公式与Yeh等给出的二维电离层层析重建公式相同。

The one order differential model and convolutional model of impedance formula of amplitude versus offset inversion were established. Impedance inversion formula from AVO was derived based on Bayesian framework. Methods of using Huber function as prior model parameter distribution and covariance matrix from well log as constrains were developed. The P-wave impedance, S-wave impedance and density were calculated by the conjugate gradient algorithm.

为此建立了振幅随偏移距变化波阻抗反演公式的一阶差分模型及褶积模型，推导了基于贝叶斯理论的AVO波阻抗反演公式，给出了采用Huber分布作为模型参数的先验分布及测井数据的参数协方差矩阵作为约束条件的实现方法，并利用共轭梯度法计算了纵、横波阻抗及密度。

During the reaction, a by- product, shown as formula below, is formed at the same time as the pseudo-ionone, because of an impurity in the citral, thereby resulting in a mixture of pseudo- ionone and formula, referred to herein as a pseudo- ionone mixture or as crude pseudo-ionone.

假性紫罗兰酮的制备柠檬醛和丙酮的下列反应：这种反应通常是进行的温度面向对象之间的1000长在反应，1分产品，如公式所示以下，在形成同时，伪酮，因为有一个杂质在柠檬，从而在一个假性和公式混合物产生的，下称一假性混合物或原油伪紫罗兰。

The paper is based on Professor Hu Yong-shengs academic thoughts and clinical experience, and have a research on formula and herbs of treating hypertension of irascibility. Summarizing the law of his using formula and herbs while treating hypertension , so as to have benefit to clinical work in treating this kind of disease .

本文在继承国家名老中医胡永盛教授学术思想及临证经验的基础上，对其治疗高血压病肝火亢盛证方药进行研究，总结出治疗本病的规律，以期对临证治疗用药有所裨益。

By using the algebraic method, we obtain a new formula for the expected hitting time of random walks on strong-connected and aperiodic digrahs (irreducible and aperiodic Markov chain). From this formula, we obtain the explicit expressions for the expected hitting times of random walks on directed de Bruijn graph, directed Kautz graph and some graphs constructed from strong regular graph, etc.

利用代数方法给出了强连通非周期有向图上随机游动（即不可约非周期马尔可夫链）平均首达时间一个新的表达式，并利用这个表达式得到了有向de Bruijn图，有向Kautz图以及和强正则图相关的几类图上随机游动任意两点之间的平均首达时间。

In this paper a second order step size iteration formula is derived in detail and the recursive expression for the expanded N-order step size iteration formula is deduced.

文中详细推导了2阶步长迭代公式，并导出了扩展的N阶步长迭代公式的递归表达式。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。