圆元

This article use the improved integral inequalities with the deviate variable and some skills of inequalities as well as related knowledge about second-order differential equation,to obtain the following results: the classification of limit point case or limit circle case and boundedness for second order differential or difference equation with deviative variable,discussed the classification for certain n-order differential equations,Criteria for the classification of second order differential equation with deviative variable.

本文利用推广的具有偏差变元的积分不等式，结合不等式的一些技巧以及常微分方程的相关知识对一类二阶具有偏差变元的微分方程及一类二阶差分方程极限圆型的分类问题作了相关的研究工作，并且讨论了一类n阶具有偏差变元的常微分方程解的平方可积性与有界性和一类二阶非线性具有偏差变元的微分方程解的有界性。

Secondly, the analytic expressions of the error band boundary line for the s model of line segment are deduced, the parameter equations of the error band boundary are gotten.

考虑实用性和合理性，将线元看成离散点的集合，将线的不确定性看成点的不确定性的聚合体，将线元的位置不确定性模型看成以各点误差椭圆的长半轴E为半径的误差圆的聚合体，建立了以线元上任意点处的误差椭圆的长半轴E为带宽的线元不确定性ε模型。

This paper extracted and analysed 11Math-Mophological Features such as Area, Perimeter, X-Length, Y-Length, Shape-Parameter, Lobation, Sphericity, Circularity, Roundness, Eccentricity and HoleNumber. Based on 40 species of insects which belonging to 8 Orders, 25 Families. And then ranks the accountability of 11 features each in insect identification while assessing their implication to insect taxonomy on levels of Order, Superfamily, Family and Species. More than those, also describes the kinship among the insects of various categories within the same level from the perspective of mathematical morphology through cluster analyses.

论文对隶属于8个目25科的40种昆虫利用计算机视觉技术进行了自动鉴别研究，从昆虫图像中提取和分析了这些昆虫的面积、周长、横轴长、纵轴长、形状参数、叶状性、球状性、圆形性、似圆度、偏心率、亮斑数等11项数学形态特征，并分别探讨了在目、总科、科及种分类阶元上这些数学特征在昆虫分类中的应用可能性和可靠性，利用聚类分析从数学形态学角度对所涉及到的同阶元昆虫类群的亲缘关系做了描述。

The equation of magnetic line of force for current element is derived and the concluion is obtained that any magnetic line of force is a close circle and its center changing in straight line on three coordinate plane, the oblique rate is determined by current element.

导出了电流元的磁力线方程，发现任一磁力线是一闭合圆线，圆心在三个坐标平面上沿直线变化，斜率由电流元的取向决

Using the characteristic of the regular curve boundary for a bending plate in engineering,the analytic integral formulae of assistant states in boundary element method with the linear element for a Kirchhoff circular plate are introduced and the systematic equation of BEM is established in this paper.

利用一般弯曲薄板边界为规则曲线的特点，对工程常用的圆形弯曲薄板，采用线性单元，导出K irchhoff圆板各辅助态的边界积分解析表达式，建立问题的边界元法系统方程，从而使薄板的边界元分析完全避免通常使用的高斯积分，明显提高计算精度。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

The ellipse curre equation of circular image is derived based on the theory of spatial analytic geometry and rotation matrix s representation with unit quaternion then a mathematical model of the distortion error is established which relates the distortion error to the foca length of the used CCD camera,the radius as well as the position and the attitude of the inspected circle directly.

研究三维视觉检测中圆的中心经针孔摄像机成像后存在畸变误差的问题，首先基于空间解析几何理论和旋转矩阵的四元数表示法推导出像平面上投影椭圆的参数方程；然后根据参数方程建立圆中心成像畸变误差的数学模型；最后对影响畸变误差的主要因素进行分析。

In this paper, I first give two methods with which we can determine all the power integral bases in maximal real subfields of cyclotomic fields. Then I determine all the power integral bases for ?

本文首先给出了确定分圆域的极大实子域的幂元整基的两种方法；然后利用这两种方法找出了Qζ_m+ζ_m~(-1(m=5，7，8，9，12，16，20，24)的所有幂元整基。

Horizontal alignment of a road is defined by polyline (straight line, circular curve, transition curve).

道路路线是由不同线元（直线、圆曲线、缓和曲线）组合而成的，随测点与哪个线元相关。

And he also deduces the complete systemic universal theory that the comic's circling movement from the ancient and it graduated layer upon layer and to evolve from the beginning to the end, and grow out of nothing empty to solid; and the universe formula:E = mn1+n2+…nn + mc2 ;and the truth of the gravitation origin; and the extragalactic nebula red shift phenomenon is the result of its galaxy quality structure and the magnitude characteristic attraction, mutually by no means was far away but explodes, and he obtained the universe theory different from the large explosion completely. At the same time it will explain the abstract cultural natural sciences knowledge truth secret something like: Pan-Gu heaven and earth, the River-Chart and the Luo-River-Book, primal chaos and Yi Gua, the profound and abstruse principles of Daoism, the symbolism number of Yi-ology and so on, and it is so broad and profound mystical that it is to be lost many years in Chinese eternity civilization. Then, he establishment the law of myriad things with one method; and deciphered the method that CongzhiZu instantaneously obtained the girth quotient density earlier near millennium than the European at the Han Dynasty, and broke the misunderstanding that all to think he has use shearing the round technique method in the world; and expounded the Pan Gu truth that the world occurs and forms with, broke the thought Pan Gu was the god superstition which the folk spread; and has cleared the-River-Chart and Luo-river-book is the nature objective reflection appearance of the universe transportation principle; and has opened the universe code numeral secret; and explained the scientific truth Fu Xi drawing the ancient divination symbol, furthermore, the writer has drawn all the ancient divination symbol order orientation diagram that had lost the thousands years of the pre-heaven Lian-shan, the midst Gui-cang, the after earth Qian-kun,and the after heaven Zou-Yiology. Through the universe laws and regulations law of from the beginning to the ultimate and myriad things all out of Pangu River-chart Luo river book primal chaos, explained thoroughly the digital code of the universe myriad things' transports and constitution. The digital code only a digital odd and even, but the binary system code deduced the world myriad things' number.

推论出宇宙万物从无到有、由虚化实、由始到终、从一到万、盘旋古衡地层层量级运动演化完备系统的万有理论；推算出了宇宙万有品质及能量公式 E = mn1+n2+…nn +mc2；论述了万有引力、磁力、电流、微观中的强力弱力诸能量的由来，以及宇宙万有物质和三大力等统一为一体的道理；推论出一切物质构成存在皆是能量结晶体，得出&一切物质皆是能量实在&，&物质本身即是能量&的理论；讲明了银河外星系的红移现象是其盘旋圆合成的星系巨大品质结构和量级特性的引力所致，并非相互远离而爆炸，得出了与大爆炸完全不同的理论；同时破解了中国博大精深神秘玄奥的华表准天、八节太极、弇兹九宫、盘古天地、河图洛书、太极易卦、天机道秘、象数彖爻等自然科学知识道理奥秘；释解并创立了万物同准法理论；解密了古代祖冲之早於欧洲近千年，瞬间得出圆周率密率的方法，打破了世界上都认为密率是用割圆术等推算出的误解；阐明了盘古天地发生形成的宇宙自然之道，以及日晷观天历纪二十四节气等等，许多天地万物万事的科学同准方法，揭秘了认为盘古是民间流传的神话迷信；理清了河图洛书是天地垂象万物负图之客观自然规律出现的宇宙物有运化成物的基本道理的数理定律；解开了现代专家教授都迷惑不解的太极易卦天地编码万物数理秘密；释解了伏羲画卦的科学道理，把失传数千年的先天连山易、中天归藏易、后地乾坤形易以及后天周易的遗失卦象次序方位数学矩阵图全都补画出来；通解了宇宙天地万有运化构成的基因数码，只用一这个最简单元始数字，奇偶一二进位地组成编码天地数字推演万物。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。