查询词典 summation formula

In the layout analysis, we chose a bottom-up algorithm based on nearest neighbor connect-strength and line confidence to segment the image area, table area and text area; In the printed Chinese character recognition module, we calculate the degree of incorporative difference to match the character, also define a refusal class which could orientate the mathematical expression automatically; Put the expression into the formula processing module, then we chose the character segmentation method based on connectivity and the template match method to recognize the character in the mathematical expression and at last we used the structure analysis based on the character to transform the two dimension formula into one dimension Word EQ expression.

在版面分析中，采用基于最近邻连接强度和行列可信度的自底向上的版面分析算法，分割出图像区域、表格区域和文本区域；在汉字识别模块中，采用回溯切分方法切分出字符段，计算合并差异度与特征字典比较，通过引入汉字的拒识类，从而实现了公式的定位；将定位后的数学公式送入公式识别器，在公式识别器中采用基于连通域搜索的字符分割方法和模板匹配方法对字符识别，对于识别出的字符，再采用基于特征字符的结构分析方法，从而将二维的数学公式转化为一维的Word EO域语句。

Compare results of the formula with test results, they inosculate well. This indicates that the formula proposed in this paper has certain dependability.

将公式计算结果与试验结果比较，吻合良好，表明本文提出的承载力计算公式具有一定的可靠性。

In chapter 4, Based on the orthogonality relations and duality of C-algebras, we study the decompositions of C-algebras, and give a Fourier inversion formula on C-algebras, which generalizes the Fourier inversion formula on the center of a finite group algebra over complex. As an application, we characterize the integral closure of C-algebras over the ring of integers, and show a necessary and sufficitient condition for elements of C-algbras being algbraic integral over integers.

第四章 我们应用C-代数的正交性及对偶性刻画了C-代数的一个分解，给出了C-代数上这个完全分解的Fourier反演公式，从而推广了Z分解的Fourier反演公式；作为Fourier反演公式的一个应用，我们刻画了Z在整数环Z上的整闭包，进一步我们研究了C-代数在整数环Z上的整闭包，给出了C-代数在整数环Z上为整元的一个充要条件。

Poisson integral formula is of the most important formula in the Calculous.

泊松积分公式是微积分中很重要的公式。

By using the analytical formula and diffraction integral formula,some numerical simulation comparisons are done,and it is shown that the results of the two methods are completely coincident.

数值计算显示，应用解析表达式所得的结果与应用衍射积分公式所得的结果完全一致。

The measure formula of intersymbol interference is derived by using the cut off form of interpolation formula and its convergence analysis has been done.

利用插值公式的截断式导出码间串扰量的度量式，研究了其收敛特性。

For example, he used himself and Zhu Shijie, who co-sponsored the three interpolation formula and the bad together in the formula of spherical trigonometry to calculate the accuracy of the new calendar has been elevated to unprecedented highs.

例如，他采用了自己和朱世杰等人共同提出的三次差内插公式及合于球面三角法的公式进行计算，使新历法的精度得到空前提高。

through researching the formula on Newton interpolation of equally spaced nodes, especially through estimating and computing the remainder, we can draw a conclusion that the precision of the interpolation point selected in the middle is higher than near the end, the value of t also should be magnified to , and giving a new estimating formula on remainder which is easy to compute.

通过研究等距节点的Newton插值公式，尤其通过估计和计算其余项，得出了插值点选在中间时精度要优于选在端点附近的结论，t值也可放大为，并给出易于计算的新的余项估计式。

The kernel requarment for the rotating invariant property of a TFD based on fractional Fourier transform is proposed and proved in chapter 5. A close formula of Radon-Wigner transform of LFM signalis given. Based on the formula, the distribution of RWT is discussed.

第五章在首先简单介绍分数阶付立叶变换的基础上，提出并证明时—频分布具有旋转不变性对核函数的要求，给出了Radon-Wigner变换在直角坐标系下分布的一个显式公式，据此讨论了RWT分布特点。

This procedure according to the formula to achieve the inverse discrete cosine transform, you can write your own validation of discrete cosine transform is correct, understanding the formula help.

详细说明：这个程序根据公式实现了离散余弦逆变换，可以验证自己编写的离散余弦变换是否正确，对理解公式有帮助。

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。