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- The common conclusion was the uniqueness and necessity of Euclidean geometry. 歐幾里德幾何的唯一性與必要性已被公認。
- Economics is not a straightforward discipline like Newtonian mechanics or Euclidean geometry. 經(jīng)濟學(xué)不像牛頓力學(xué)或者歐幾里德幾何，它不是門(mén)直觀(guān)的學(xué)科。
- The non-Euclidena geometries were in effect subordinated to Euclidean geometry. 非歐幾里德幾何實(shí)際上是從屬于歐幾里德幾何的。
- While, the most significance lies in the negation to the fifth postulate, that is, the birth of non Euclidean geometry. 而第五公設對數學(xué)發(fā)展的最大意義恰恰來(lái)自于對第五公設的否定即非歐幾何的誕生。
- Conventional flow mathematical models of coalbed methane are all based on Euclidean geometry. 摘要 傳統的煤層氣滲流數學(xué)模型均是建立在歐幾里德幾何基礎上的。
- Science should always try to use Euclidean geometry and vary the laws of physics where necessary. 科學(xué)應該永遠試用歐幾里德幾何學(xué)，并在必要處改變物理定律。
- This paper discusses how to transform the result which is about this problem in Euclidean geometry on the field to the rings. 本文探討的是如何將域上歐氏幾何中 ;關(guān)于這一問(wèn)題的結果 ;有效的轉到環(huán)上來(lái) .
- Growing process and shape of water tree in XLPE dielectric is random and branched which can not be described using Euclidean geometry. XL PE介質(zhì)中水樹(shù)枝的生長(cháng)過(guò)程和形態(tài)表現出強烈的隨機性和分叉趨勢 ,且不能用傳統的歐氏幾何語(yǔ)言描述。 基于局部介質(zhì)擊穿計算和分形幾何原理 ,估計了水樹(shù)枝發(fā)展形態(tài)的分叉趨勢和分形維數。
- In field Euclidean geometry, the problem of expressing orthogonal transformation as symmetrical product is one of the basic problems in geometry. 域上歐氏幾何中 ,把正交變換表為對稱(chēng)之積的問(wèn)題 ,是幾何學(xué)中基本問(wèn)題之一。
- Euclidean geometry is not only the leader of the civilization of ancient Greek but also the brilliant achievements of axiomatic approach in mathematics. 以《幾何原本》為代表的歐氏幾何是古希臘文明的一個(gè)火車(chē)頭;是古代數學(xué)公理化方法的一個(gè)輝煌成就.
- They do so to high precision, showing that aside from the overall expansion, the universe obeys the laws of Euclidean geometry and must be very close to spatially flat. 他們高精密度的檢測顯示，除了整體的膨脹外，宇宙遵守歐幾里得的幾何定律，也具有幾乎平坦的空間。
- Euclidean geometry. 歐幾里幾何
- In his early work on general relativity, Einstein realized that over cosmic distances space might not conform to the principles of Euclidean geometry - that is, the sum of the angles of a very large triangle might not equal exactly 180°. 愛(ài)因斯坦在早期研究廣義相對論時(shí)就已認識到，在宇宙規模的距離上，空間是不可能符合歐幾里得幾何的原理的，這就是說(shuō)，一個(gè)非常大的三角形的內角之和不可能正好等于180度。
- The changes of the relations between the intuition and logic result from the development of non Euclidean geometry,from which is derives the method of the pattern and formalization in mathematics,and based on which the paradox is avoided. 研究表明 ,直觀(guān)與邏輯矛盾的加劇源于非歐幾何的發(fā)展 ,因而在數學(xué)中推出了模型方法與形式化并試圖以此避開(kāi)悖論
- First of all,Euclidean geometry and its axiomatic approach are introduced in brief. Then,Euclidean geometry is analyzed from point of view of culture and its human value,aesthetic value and applied value are discussed. 文章簡(jiǎn)要介紹了歐氏幾何及其公理化方法;并從文化的角度對其進(jìn)行分析;探討了歐氏幾何的人文價(jià)值;美學(xué)價(jià)值和應用價(jià)值.
- Firstly, this dissertation introduces the basic conceptions and relevant properties of projective geometry, affine geometry, metric geometry and Euclidean geometry used in computer vision, as well as the camera model with imaging principles. 本文首先介紹了計算機視覺(jué)中所用到的射影幾何、仿射幾何、度量幾何和歐氏幾何等各類(lèi)幾何學(xué)的基本概念和相關(guān)特性； 概述了攝像機模型及成像原理；
- At the same time,the duality propositions of the angular bisector,two perpendicular lines,the length of the line segment,the distance between a point and a line in Euclidean geometry,were also established. 在歐氏幾何中建立起了角平分線(xiàn),兩條直線(xiàn)垂直、線(xiàn)段長(cháng)度、點(diǎn)到直線(xiàn)的距離的對偶命題。
- In this paper,we discuss the relation between the ordered affine geometry and the ordered affine geometry over the ordered division ring, them between the Euclidean geometry without continity and the Euclidean gemetry over the Pythagorean field. 本文討論有序仿射幾何與有序體上仿射幾何之間的聯(lián)系,以及無(wú)連續公理歐氏幾何與pythagoras域上歐氏幾何之間的聯(lián)系。
- The main results are: Assuming the camera undergoes two sets of translations, of which the corresponding rotation axes of camera are not parallel, then Euclidean geometry of a scene can be reconstructed linearly from four point correspondences. 當攝像機作兩組平移運動(dòng)時(shí) ,若在兩組平移運動(dòng)之間攝像機具有不同的姿態(tài) ,則從 4對圖像對應點(diǎn)可以線(xiàn)性地重建場(chǎng)景的歐氏幾何。
- Yet the full nonline problem is difficult to solve by use of traditional Euclidean geometry method, even the numerical solution cannot be got, so it puzzled researcher nearly half century. 然而這些沉積生成的枝晶，其形貌上呈現出的極不規則、極其復雜的幾何特征，這一非線(xiàn)性的生長(cháng)問(wèn)題用傳統的歐氏幾何來(lái)處理是十分困難的，甚至于無(wú)法獲得數值解，所以在近半個(gè)世紀以來(lái)一直困擾著(zhù)科學(xué)工作者。
