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euclid

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euclid n.1.歐幾里得〔古希臘數學家〕。2.歐幾里得幾何學。

n. 1.歐幾里得〔古希臘數學家〕。 2.歐幾里得幾何學。 “algorithm of euclid“ 中文翻譯：   歐幾里得算法“euclid geometry“ 中文翻譯：   歐幾里得幾何“euclid inc“ 中文翻譯：   尤克利德公司“euclid lemma“ 中文翻譯：   歐幾里得引理“euclid norm“ 中文翻譯：   歐幾里得范數“euclid-hitachi“ 中文翻譯：   尤克里特“euclid-solid“ 中文翻譯：   歐幾里得體“extended euclid“ 中文翻譯：   擴充歐幾里德“south euclid“ 中文翻譯：   南歐幾里得“euclid parallel postulate“ 中文翻譯：   歐幾里得平行公設“pseudo euclid metric“ 中文翻譯：   偽歐幾里得度量“euclichthyidae“ 中文翻譯：   歪尾鱈科“eucleidae“ 中文翻譯：   刺蛾科“euclasterida“ 中文翻譯：   蛇海星目“euclasite“ 中文翻譯：   藍柱石“euclase(euclasite)“ 中文翻譯：   藍柱石

euclidean

On the background of selecting an optimal combination of elastic pads “ height between the two adjacent cylinders , which carry out the design requirement of combinative cylinders assembled structure , in this dissertation , the optimal design model is established ground on geometrical and mechanical model of the combinative cylinders assembled structure . the algorithm that integrates multi - objective ' s decision - making method with minimal distance between two points in euclid ' s space into the modified genetic algorithm to solute the optimal model is presented 本文以選取層間彈性墊層厚度實現組合圓筒裱糊裝配結構的設計要求為研究背景，依據組合圓筒裱糊裝配結構的幾何模型與力學模型，建立組合圓筒裱糊裝配結構的優化模型，提出改進遺傳算法與歐幾里德空間最短距離準則的多目標決策方法相結合的優化算法。

On the basis of a fairly thorough study of historical literature , the present paper makes a systematic discussion and analysis of the time when the great book the thirteen books of euclids elements was introduced into china ; the way in which how it was translated into chinese and what impact the dissemination of the book has exerted on the development of chinese science and technology world 通過文獻考察指出：古希臘科學名著《幾何原本》是在13世紀與阿拉伯的文化交流中，通過阿拉伯算學一起傳入我國的； 《幾何原本》在我國翻譯傳播過程中，除常提到的利瑪竇、徐光啟和李善蘭之外，至少還有4人參加了《幾何原本》的翻譯工作； 《幾何原本》的翻譯傳播對我國數學、天文學以及中國近代科學乃至中國思想文化的發展產生了深遠的影響，具有重要意義

In section one , based on theory of n dimensional euclid space , a new method labeled as “ pointlineplane “ recycling optimization algorithm is proposed to solve the linear programming problem . this algorithm is proposed on the basis of the thought as follovvs : as for three dimensional euclid space , the feasible region of any linear programming problem is a extended convex polyhedron , of which surface is consisted of some planes , and its objective function can be regarded as a parallel plane pencil with objective function value acting as parameter 第一部分內容是在n維歐氏空間理論的基礎上提出了一種求解線性規劃問題的新算法? “點線面”循環尋優法，本算法是基于如下思想提出來的：我們知道，在三維歐氏空間中，線性規劃問題的可行域是一個由若干個平面圍成的廣義多面體，目標函數可以看作是以目標函數值為參變量的一個平行平面束。

The article takes mathematization as the characteristic of neoteric science by starting from the background of 17th century ' s philosophy of the nature and reviewing three aspects . these three aspects are the mathematization of the prospect of the nature which is based on the tradition of pythagoras , the mechanization of the prospect of the universe which is based on the tradition of christianism , and the deducting of the system physics which is based on the tradition of euclid 本文從考察十七世紀數學的自然哲學背景出發，從基于畢達哥拉斯傳統的自然圖景的數量化和基于基督教傳統的宇宙圖景的機械化，以及基于歐幾里德傳統的物理學科體系的演繹化等三個方面更加具體地考察了近代科學的數學化特征。

Secondly , their aims are made the investment of substations , feeders or running cost of electric power system minimum . but they do n ' t take into account of land utilization , street accessibility of right of way , etc . , but demands of electric power system . generally , a straight line distance , namely , euclid distance , was used for calculating the distance between a load point and a substation , which is a straight forward but non - practical way for most planning techniques 其次受研究工具的限制，這些模型以工程投資、運行費用等最小為目標，僅能考慮導線載流量、電壓降等電力系統技術約束條件，簡化略去了用地限制、街道可達性等重要的自然約束條件，且求解這些模型的前奏是計算負荷點到變電所的歐幾里得距離(直線距離) ，簡便但不切合實際(這一點在城市電網規劃中尤其重要) ，因此較難給出技術上可行的最優解。

We can take into account the opinion of electric experts which greatly affected the result . with gis we can obtain element data such as coordinate of load , distance from one load to another load . a shortest - path algorithm based upon dynamic programming is used in this paper to determine the distance between a load point and a substation along the city streets which we called generalized euclid distance 以每一小區的電力負荷預測值作為需求量，將數據綁定到每一小區的左上節點(小區四周每一個十字路口都可以看作一個節點) ，可將每一個節點，或根據土地規劃約束將其中的部分節點將明顯不可行的源位置排除掉后的節點，作為可能建變電所的位置。

Linear algebra is mainly a subject which studies the linear structure of finite dimensional linear space and its linear transformation while linear concept is in itself from the old euclid g eometry . the concept of “ linear space “ is a kind of algebraic abstract . in many fields of modern engineering project and technology , because of the influence of computer and graph showing , the algebraic disposal of geometric questions , the visual disposal of algebraic questions , algebra and geometry are tightly combined 線性代數主要是研究有限維線性空間及其線性變換這一代數結構的學科，而線性概念究其根源則是來自古老的euclid幾何，線性空間概念是幾何空間的一種代數抽象，在現代工程技術的許多領域里，由于計算機及圖形顯示的強大威力，幾何問題的代數化處理，代數問題的可視化處理，把代數與幾何更加緊密地結合在一起。

As we all known , with the founding of euclidean geometry in ancient greece , with the development of analytic geometry and other kinds of geometries , with f . kline “ s erlanger program in 1872 and the new developments of geometry in 20th century such as topology and so on , man has developed their understand of geometry . on the other hand , euclid formed geometry as a deductive system by using axiomatic theory for the first time . the content and method of geometry have dramatically changed , but the geometry curriculum has not changed correspondingly until the first strike from kline and perry “ s appealing 縱觀幾何學發展的歷史，可以稱得上波瀾壯闊：一方面，從古希臘時代的歐氏綜合幾何，到近代解析幾何等多種幾何的發展，以及用變換的方法處理幾何的埃爾朗根綱領，到20世紀拓撲學、高維空間理論等幾何學的新發展，這一切都在不斷豐富人們對幾何學的認識；另一方面，從歐幾里得第一次使用公理化方法把幾何學組織成一個邏輯演繹體系，到羅巴切夫斯基非歐幾何的發現，以及希爾伯特形式公理體系的建立，極大地發展了公理化思想方法，不管是幾何學的內容還是方法都發生了質的飛躍。

( 3 ) based on ect sensor and pattern recognition theory , a new method was proposed for voidage measurement of gas - liquid two - phase flow . one of three template databases was selected by flow regime classification . the voidage was obtained by template matching with euclid distance measure ( 3 )基于ect傳感器，結合模式識別理論，提出了一種新型的氣液兩相流空隙率測量方法，利用歐氏距離測度對一組測量值進行模板匹配，從而得到該組測量值所對應的空隙率值。

Fractal and fractal geometry provide a more exact mathematical model to describe the external world , which broke though the situation limited to euclid geometry and have drawn much attention from chemists , mathematicians , physicists in various disciplines 分形概念的提出及分形幾何學的創立，為人們描述客觀世界提供了更準確的數學模型，引起了自然科學領域和社會科學領域的普遍關注，并在化學、生物學、天文學等諸多領域中得到了廣泛的應用。

Based on fuzzy matter - element analysis , a new method for assessment of water environment bearing capacity was described to evaluate ground water environment bearing capacity , combining with the concept of euclid approach degree 摘要基于水環境承載力概念的模糊性和評價指標的多樣性特點，在模糊物元分析的基礎上，結合歐氏貼近度概念，建立了基于歐氏貼近度的區域水環境承載力評價模糊物元分析模型，并將之用于地下水環境承載能力評價。

Considering the monotony and regularity of euclid arithmetic , the paper proposes a new multiple attribute decision making approach based on the ordinal euclid arithmetic , and the monotony , regularity and metathesis immutability of the ordinal euclid arithmetic are proved too 基于算子有序性的構建思想，本文提出并構建了基于有序歐幾里德算子的區間數多屬性決策算法模型，證明了有序歐幾里德算子的單調性、齊次性和冪等性。

On the basis of fuzzy matter - element analysis , a fuzzy matter - element model for evaluation of compensation benefits of cascade reservoirs on the mainstream of the yellow river was established by combination with the concept of euclid approach degree 摘要在模糊物元分析的基礎上，結合歐氏貼近度的概念，建立了基于歐氏貼近度的黃河干流梯級水庫補償效益方案評價的模糊物元模型，采用主客觀賦權法計算評價指標的權重。

In order to evaluate the classroom teaching quality , the paper puts forward a new method on the basis of the fuzzy matter - element analysis and combines with the concept of euclid approach degree , constructs the fuzzy matter - element analysis model on the basis of euclid approach degree 摘要在模糊物元分析的基礎上，結合歐氏貼近度概念，建立了基于歐氏貼近度的模糊物元分析模型，并用之于課堂教學質量的評價。

In the key generation algorithm , a best method of generating key is found through theory analysis and many experiments . in the multiplicative inverse of modulo , a new algorithm is initiated which needs less memory and runs faster than extended euclid 對于求模逆元算法,在擴展歐拉算法的基礎上,提出了一種新的求模逆元算法,該算法比擴展歐拉算法不僅內存所需更少,而且運行速度更快。

Conclusion by presenting his disquisitions generales circa superficies curves in 1827 , gauss presented in fact the essential idea of his earlier research on non - euclid geometry in his unique way as well 結論高斯于1827年發表的《關于曲面的一般研究》 ，一方面奠定了內蘊微分幾何的基礎，同時也以其獨特的“高斯風格”將自己的非歐幾何研究揭示于眾。

Forty - five genotypic sweet corns were classified into two groups in euclid space based on the clustering of the plant regeneration of the embryos using the analysis of principle components 利用主成分坐標分析并在此基礎上對不同基因型甜玉米的再生能力進行聚類，并按歐氏距離將45種不同基因型玉米劃分為2個大組群。

Mathematical laws are universal and have remained unchanged since the beginning of time . euclid , euler and all the others discovered and put into words things that were already there 數學法則，從古至今，放之四海而皆準，亙古不變。歐幾里德、歐拉，以及其他數學家們，只不過是發現了這些規律，加以文字表述而已。

Mathematical laws are universal and have remained unchanged since the beginning of time . euclid , euler and all the others discovered and put into words things that were already there 數學規律從古至今是放之四海而皆準的普遍真理。歐幾里德、歐拉等等數學家們，只不過把這些規律發現了然后用文字表述出來罷了。