数学公式

The absolute coding model360°angle sensor is us ed for inducing the angles and positions of the track type sphere welding machin e.Knowing the distances from two end points of the track to the weld-groove w e calculated,mathematics formulas of the distance of the any position of track to weld-groove.

采用了一种绝对编码式360°倾角传感器作为轨道式球罐焊机的角度位置传感器，在已知轨道两端点至焊接坡口横向距离的前提下，进行了整个轨道任意位置与焊接坡口间横向距离的数学公式推导。

By using the mathematical method of curve integrals,it derives the mathematical formula to calculate the cross-section ductile coefficient of RC ring section member.

从钢筋混凝土正截面承载力计算时的基本假定出发，建立了环形截面上各种应力图形的函数表达式，利用曲线积分的数学方法，推导出计算钢筋混凝土环形截面构件截面延性系数的数学公式。

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。

However, each factor has its marked feature, it is difficult to use an accurate mathematical formula or statistical formula to ...

但各相关因素具有非显著性的特点，很难用一个准确的数学公式或统计公式来描述相互间的关系。

But because of the planar structure of mathematicsformulas, recognizing by merely enlarging the symbol library will not record the image infor-mation completely.

而数学公式由于其存在二维结构，单纯通过扩充识别系统字库无法完全记录公式图像所含全部信息。

Optical Formula Recognition is not only the sign of formula recognition, but also include the extraction of the formula, the record of two dimension structure of the formula and so on.

数学公式的识别不仅只是公式中符号的识别，其还包括了公式抽取，公式二维结构的记录等方面的研究。

The mathematical structure can be the mathematical formula, the algorithm, the form, the sketch and so on.

数学结构可以是数学公式，算法、表格、图示等。

" In 1981, the Supreme Court stated that "a claim drawn to subject matter otherwise statutory does not become nonstatutory simply because it uses a mathematical formula, computer program, or digital computer" and a claim is patentable if is contains "a mathematical formula and implements or applies the formula in a structure or process which, when considered as a whole, is performing a function which the patent laws were designed to protect.

& 1981年，最高法院指出，&索赔提请法定事由，否则不会成为非法定仅仅是因为它使用了一个数学公式，计算机程序，或数字电脑&，并要求具有专利性，如果是包含&一个数学公式，并在实施或适用的公式的结构或过程，当作为一个整体考虑，是履行这一职能的专利法是为了保护。

In this paper,the whole recognition process was studied in detail,using character over-segmentation method and BST character structure analysis algorithm,the general formula could be recognized and remerged successfully,and the recognition ratio is very high.

系统地研究了数学公式识别的全过程，使用自适应字符分割方法和基线结构分析算法成功地实现了一般数学公式的识别，识别率比较高，较好地完成了公式识别任务。

Aformula which describes the transient process from beginning traveling waveto steadytraveling wave was deduced and the concept of initial traveling wave stagefirst was defined and its duration was given. It leads to a conclusion that reflectionfactor is a time dependent function, and variation range and reflection factor atdifferent stage were presented .Based on unified traveling wave theory andtransmission line model of reflective terminal with energy storage element , powerpolarity of initial traveling wave was analysed with both physical and mathematicalmethod.

通过理论推导得出从初始行波到稳态行波过渡过程的数学公式，统一了不同阶段的故障分量信号；定义了初始行波的概念，并指出了其持续时间的影响因素，针对末端含有储能元件系统，从物理和数学两方面剖析了初始行波的功率极性；通过分析提出反射系数是时变函数，给出了在不同暂态阶段行波反射系数的变化范围。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。