有窮幾何 的英文怎麼說
中文拼音 [yǒuqióngjīhé]
有窮幾何
英文
finite geometry-
We compare the approximation of an analytic function f by its taylor polynomial and its poisson partial sum with the same number of terms and illustrate that for functions with limit zero at infinity and for bounded functions the poisson expansion provides a better approximation to the function than the taylor expansion
在第三章中，介紹了rb曲線與poisson曲線的概念以及基本的幾何性質，指出了poisson基函數與有理bernstein基函數之間存在的關系，並且將解析函數的taylor逼近與poisson逼近進行比較。實例表明，對于在無窮遠處極限為0的函數以及有界函數， poisson逼近比taylor逼近效果要好。It is only by assuming an infinitely small magnitude, and a progression rising from it up to a tenth, and taking the sum of that geometrical progression, that we can arrive at the solution of the problem
只有假設出無窮小數和由無窮小數產生的十分之一以下的級數，再求出這一幾何級數的總量，我們才能得出問題的答案。The cable - strut tensile structures are the self - stress equilibrium systems composed by tensional cables and struts. in this paper, the basic concept of the structures was described. the analysis methods of the structural characteristics ( statically and kinematically determinate or indeterminate ) and the geometrical stability were presented. it is indicated that the cable - strut tensile structures are in stable equilibrium with first - order infinitesimal mechanisms. the ranks of equilibrium matrix were calculated by employing the singular value decomposition, and the independent modes of inextensional mechanisms and the states of self - stress were also obtained in the same way. this paper contains some typical examples which illustrate all of the main points of the work
索桿張力結構是指由張力索和壓桿組成的、具有預應力自平衡的新穎結構體系.本文詳細闡述這種結構的基本概念和結構特徵，討論結構靜動定體系特性和幾何穩定性判定分析方法，指出索桿張力結構應具有一階無窮小機構的幾何穩定體系.文中採用奇異值分解方法計算結構平衡矩陣的秩，並計算獨立機構位移模態和自應力模態.最後，對幾種典型的索桿張力結構進行了算例分析Gradually the method of exhaustion was transformed into the subject now called integral calculus, a new and powerful discipline with a large variety of applications, not only to geometrical problems concerned with areas and volumes but also to problems in other sciences
窮竭法后來逐漸轉變為一門現在稱為積分學的學科，成了一門具有廣泛用途的強而有力的新學科，不僅用來解決有關面積、體積等幾何方面的問題，而且也用於解決其他科學方面的問題。After analyzing the process of mathematization, several conclusions are summed up as follows. first, while the subjects investigated of 17th century ' s mathematics include the mixture of the structure of sequence, the structure of algebra and the fuzzy quantum in the structure topology
首先，十七世紀數學的研究對象是一個包含代數結構、序結構和拓撲結構的模糊的「量」的混合體，而主要的內容是有別于古典幾何的無窮小演算法。分享友人