differential geometry 中文意思是什麼
differential geometry
解釋
微分幾何學- differential : adj 1 差別的，區別的；特定的。2 【數學】微分的。3 【物、機】差動的，差速的，差示的。n 1 （鐵路不...
- geometry : n. 1. 幾何學。2. 幾何形狀。3. 幾何學著作。
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I establish mechanics model of hyperboloid clutch with rollers with differential geometry. at the same time, in the base of above research, find the relation between the condition of ehl and the parameter hyperboloid clutch with rollers with formula of dowson. d, and validate the intensity of hyperboloid clutch with rollers
同時，在對以上模型深入研究的基礎上，利用道森公式計算牽引傳動形成條件與加載器設計參數間的關系，並對加載器進行了牽引傳動強度校核。 -
Gaussian intrinsic differential geometry and non - euclidean geometry
高斯的內蘊微分幾何與非歐幾何 -
Proceed from the angle of enhancing the backing off grinding accuracy of the special shaped convex curved rake surface, and in accordance with the enveloping theory of differential geometry and the designing model of new configured carbide gear shaper cutters, the mathematical model for backing - off and grinding the special shaped convex curved rake surface of the new configured gear shaper cutters was derived
從提高新構形硬質合金插齒刀異形凸曲前刀面鏟磨精度的角度出發，根據微分幾何的包絡理論及新構形硬質合金插齒刀設計模型，推導出鏟磨新構形插齒刀異形凸曲前刀面的數學模型。 -
His participation in actual physical surveys stimulated his interest in differential geometry.
他親身參加實際的物理測量，激起了他對微分幾何學的興趣。 -
It is difficult to ensure the steady suspension of the join - structure if the control method of the two suspension points is designed independently, so the coupling force between the two points must be taken into account. in this dissertation, the model of the join - structure is built. the model is decoupled and linearized by differential geometry method
但是，同一搭接結構上的兩個懸浮點之間具有很強的耦合作用，在對搭接結構進行懸浮控制時，如果對兩個懸浮點獨立進行懸浮控制設計，很難使搭接結構穩定懸浮，因此必須考慮它們之間的耦合作用。 -
Established the system of coordinates of roll testing, getting the parameters of equation of tooth face by solving the non - linear equations set ; according to the differential geometry and meshing principle, deduce the curvature parameters of tooth face and tooth profile, and get the parameters of instantaneous contact ellipse. emulate the contact trace and contact area of the working tooth face, and drawing the instantaneous drive ratio error curve
建立了克林貝格擺線齒錐齒輪嚙合分析的對滾模型，通過對非線性方程組的迭代求解，得到齒面方程的各個參數;由微分幾何和切齒嚙合原理推導了齒面上齒廓和齒線方向的曲率參數，得到了瞬時接觸橢圓的參數。根據設計參數和機床調整參數繪制了工作齒面的接觸軌跡和接觸區圖形，並求得了瞬時傳動比的誤差曲線。 -
German mathematician and astronomer known for his contributions to algebra, differential geometry, probability theory, and number theory
高斯，卡爾?弗雷德里希1777 - 1855德國數學家和天文學家，因其對代數、微積分幾何、或然率理論和數字理論的貢獻而為人稱道 -
In the part of orbit control, the main ideas in study is to define the nonlinear control system on a riemann manifold from the global viewpoint, and to build the intimate relation between the geometrical structure of state space and the state equation of nonlinear control system ; in the part of attitude control, the main ideas in study is to deduce mathematical model with good character based on global differential geometry ideas as well as li group and li algebra, moreover, to design corresponding control schemes
在軌道控制部分，研究的主要思想是從整體化的觀點出發定義一種建立在riemann流形上的非線性控制系統，將狀態空間的幾何結構與控制系統的狀態方程建立直接的聯系。在姿態控制部分，研究的主要思想是以整體微分幾何方法為工具，以李群與李代數等數學理論為基礎，從數學角度建立具有良好性能的數學模型，並設計出相應的控制方法。 -
Harmonic maps between riemannian manifolds are very important in both differential geometry and mathematical physics. riemannian manifold and finsler manifold are metric measure space, so we can study harmonic map between finsler manifolds by the theory of harmonic map on general metric measure space, it will be hard to study harmonic map between finsler manifolds by tensor analysis and it will be no distinctions between the theory of harmonic map on finsler manifold and that of metric measure space. harmonic map between riemannian manifold also can be viewed as the harmonic map between tangent bundles of source manifold and target manifold
黎曼流形間的調和映射是微分幾何和數學物理的重要內容。黎曼流形和finsler流形都是度量空間，自然可利用一般度量空間調和映射的理論討論finsler流形間的調和映射。但由於控制finsler流形性質的各種張量一般情況下很難應用到一般度量空間調和映射的理論中，使得這樣的討論大都是形式上的，並與一般度量空間調和映射的理論區別不大。 -
To overcome the shortcomings of differential geometry method in the respect of invertibility and dynamic state feedback, this paper discuss algebra control method. combining linear algebra with dynamic expansion, one method can decouple the nonlinearity through construct the root of nonlinear system by dynamic expanding
一種方法是採用線性代數理論與動態擴張演算法相結合來對非線性系統進行解耦分析，通過運用動態擴張演算法來構造非線性系統的根而達到對非線性系統解耦控制的目的。 -
Professor chern was awarded the shaw prize in mathematical sciences 2004 for his initiation of the field of global differential geometry and his continued leadership of the field, resulting in beautiful developments that are at the centre of contemporary mathematics, with deep connections to topology, algebra and analysis, in short, to all major branches of mathematics of the last sixty years
二零零四年邵逸夫數學科學獎授予陳省身教授，以表彰他開辟整體微分幾何學的成就。整體微分幾何學的精妙發展占著當代數學的核心，與拓樸學、代數學和分析學，簡而言之，與過去六十年數學的所有主要范疇都有密切關連。 -
According to the differential geometry theory, the principle curvatures and principle relative curvature of the spur gear and the fg in line contact and point contact, the tooth surface relative speed and the tooth contact interface are analyzed, whose distributing on the tooth surface are visualized by computer
在齒面的幾何特性研究中，利用微分幾何的原理分析了圓柱齒輪和面齒輪的齒面曲率、線接觸和點接觸面齒輪傳動的主誘導法曲率以及嚙合過程中齒面的相對速度和接觸區域計算問題，並獲得有益的結論。 -
In this thesis, a internal and external analyse and research about design, modeling and machining of ball - end cutters is reviewed. on the base of grinding trait of mk6335a five - axis numerical control drill grinder, in the present study, differential geometry, ruled surface concept, envelope and inverse - envelope theory, coodinate transfer and numeric analyse are used to develop a mathmatical model and systematic method for the design, analyse and simulation of ball - end cutters
本論文在國內外關于球頭立銑刀設計、建模、加工等方面研究的基礎上，根據現有的mk6335a五軸數控鉆尖磨床刃磨運動的特點，應用微分幾何、包絡與反包絡理論、坐標轉換、數值分析等理論知識，研究了基於五軸數控磨床加工球頭立銑刀的數學模型及分析與模擬。 -
First, the normal vector of the surface was calculated using the differential geometry based on the features of an involute and a cycloid as a reference of radius of the ball milling cutter
由於銑刀每完成一個行程后，還要進行輪廓插補，採用一種新的漸開線輪廓插補方法，並將插補軌跡換算成球頭銑刀的刀心軌跡。 -
For necessary condition, we present a practical morse function to judge. thirdly, a problem related to parameterization singularity and forward kinematics is studied, i. e., whether there exists singularity - free path between different solutions of forward kinematics. we give a clear explanation to this problem using standard idea from differential geometry
研究了一個與參數化奇異位形有關的問題，即並聯機構運動學正解不同解之間無奇異位形連接路徑問題，採用微分幾何的基本概念解釋了同一驅動關節對應的不同正解之間是有可能有不經過驅動奇異位形的路徑的原因。 -
In 1989, academician wu wen - tsun forwards wu differential characteristic method which establish theoretical basis for mechanical theorem proving of differential geometry and the research of automatic reasoning
1989年吳文俊院士提出了吳?微分特徵列法，為微分幾何定理的機械化證明和自動推理的理論研究奠定了理論基礎。 -
Then, according to the differential geometry theory of curving surfaces, pal ' s performances are evaluated. and, the methods for assessment of the lenses with ray - tracing software are provided
然後，根據曲面的微分幾何理論，給出漸變鏡片的性能評價方法，指出這種評價手段適用於任何給出漸變面矢高表達式的漸變鏡片。 -
The contact deformation at transient engaging point is derived from deeply analyzing geometric property and kinematics relationship between the two action flanks by use of engagement principle, differential geometry, elastic and plastic mechanics, etc
運用嚙合原理、微分幾何和彈塑性力學等基礎知識，對齒面間的幾何性質和運動關系進行深入細致的分析研究，計算各瞬態嚙合點的接觸變形。 -
Establish geometry model of hyperboloid clutch with rollers with differential geometry. we know that the line of tangent is beeline and validate it with matlab. in the base of above research, establish movement model of hyperboloid clutch with rollers and find the relation between force of outer race and moment of inner race
在上述研究的基礎上利用運動轉化原理建立了內外環與滾柱之間的運動模型，並利用微分幾何的相關知識通過對施加在外環上的主動軸向力的分解及合成，求的其在內環上所產生的力學反應，建立雙曲面滾柱加載器力學模型。 -
Manifold, as the main theme of differential geometry and analysissitus, has a basic structure composed of finite cover system and contact functions between covers, which could be overlapped or even folded
與通常的網格不同，覆蓋可重疊或折疊產生一個組合空間，因此流形方法是追求一切空間上的所有解法。
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