differential algebra 中文意思是什麼

differential algebra 解釋
微分代數
  • 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...
  • algebra : n. 代數學。
  1. Systems of linear differential equations can be handled by using the methods of linear algebra.

    線性微分方程組可以應用線性代數中的方法求解。
  2. Linear algebra differential equation

    線性代數微分方程
  3. Calculus, differential equations, linear algebra, statistics, computer science and at least one in numerical analysis, matrix algebra or computer systems

    微積分，微分方程，線性代數，統計，計算機科學和至少一數值分析，矩陣代數或計算機系統
  4. 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
  5. 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。
  6. 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。
  7. 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。
  8. The first part, the theory and application about wu - ritt differential characteristic sequence method are discussed, which involves the theories of differential equations, abstract algebra and computer algebra etc. we apply wu - ritt differential characteristic sequence method ( abbr. wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions

    本文共分兩部分，第一部分討論微分特徵列法的理論和應用問題，涉及到微分方程，抽象代數，計算機代數等重要學科。將吳方法應用到具有物理意義的線性偏微分方程上去，我們給出了型序，驗證了張鴻慶教授八十年代給出的恰當解的概念，刻劃了解的規模並給出了形式冪級數解。
  9. With the development of the computer and the constantly expanding of it ' s applied domain, symbol computation present gradually powerful bioenergy. in this paper, using the computer algebra as the tool and the differential algebra as the background, we discuss the theory of " ac = bd " and the differential characteristic method and their application in the differential equations

    隨著計算機的發展和應用領域的不斷擴大，符號計算在數學領域中體現出了日益強大的生命力，本文就是以計算機代數為工具，微分代數為理論背景，討論了「 ac = bd 」理論及微分特徵列法的相關理論問題以及它們在微分方程組中的應用。
  10. Lie algebra of derivations of algebras of differential operators in n - variables

    元微分運算元代數的導子李代數
  11. Review of linear algebra, applications to networks, structures, and estimation, lagrange multipliers, differential equations of equilibrium, laplace ' s equation and potential flow, boundary - value problems, minimum principles and calculus of variations, fourier series, discrete fourier transform, convolution, applications

    線性代數回顧，網路，結構以及估計的應用，拉格朗日乘數，平衡態的微分方程，拉普拉斯方程和勢流，邊值問題，最小值原理和變分法，傅立葉級數，離散傅立葉變換，卷積，應用。
  12. First, the dynamics equation of multi - system is derived by first kind of lagrange equation and also the constrain equations of velocity are obtained, the final expression of the dynamics equation is hybrid one of algebra and differential

    首先，本文利用第一類lagrange方程建立了柔性多體系統的動力學方程，並建立了速度意義下的約束方程，方程最終表現形式為微分/代數混合方程組。
  13. The paper is concerned with the control strategies of uncertain nonlinear systems and the application on the ac speed adjustable systems. its main contents includes neural network control, differential geometry control and algebra control

    本文研究了非線性系統的控制策略及其在交流傳動中的應用，主要的內容涉及三個方面：神經網路控制、微分幾何控制和代數控制。
  14. Because of the strong stiff of the electron occupation probability equation, we adopt mutipletime - scale perturbation theory to transfer them into algebra equation and differential equation with low stiff

    束縛電子占據概率速率方程組具有很強的剛性，我們採用多時標微擾論方法，將其變換成代數方程組和剛性較小的微分方程組求解。
  15. The fem is a method of which transform the partial differential - coefficient equation ' s initial and boundary value issue to ordinary differential - coefficient equation ' s initial and boundary value problem ( after space disperse ) or a set of regular algebra equation

    有限元法在數學上是將偏微分方程的初邊值問題劃歸一組常微分方程的初值問題（在空間離散化之後）或一組規則代數方程。
  16. Mss consists of mathematics & applied mathematics dept., information & computing science dept., probability & statistics dept. and college mathematics dept. with ten subject orientations : algebra, function theory, computing science, numerical solution of differential equation, functional differential equation and its application, applied probability and statistics, mathematics mechanization, cad, coding security and financial mathematics

    有代數、函數論、計算數學、微分方程數值解法、泛函微分方程及應用、應用概率統計、數學機械化、計算機圖形處理、密碼安全、金融數學十個學科方向。
  17. In the area of pure mathematics, topics include number theory, abstract algebra, real and complex analysis, functional analysis, differential geometry, topology, and differential equations

    在純數學的范疇，可供選讀的科目包括數論、抽象代數、實和復分析、泛函分析、微分幾何、拓撲學及微分方程理論等。
  18. The sib of differential - algebra equation ( dae ) can be interpreted as one mechanism of transient voltage unstable or voltage collapse, and this mechanism is illustrated under multi - machine system. moreover, the algorithm for search sib point under multi - machine system is proposed. the study of dae model and its singularity - perturbed model shows that they are different in essence

    微分-代數方程下的奇異誘導分岔可作為暫態電壓崩潰的一種機理解釋，在典型系統中詳細地分析了該機理，並在多機系統中構造出相應的算例，此外還提出了在多機系統中計算奇異誘導分岔點的演算法設想。
  19. Another method that combines singh algorithm with differential algebra also can decouple nonlinear systems. the method can find the certain part of output be decouplled structure of original system by singh algorithm calculating essentiality of the decouplled system matrix. being an example, the paper deduce the process of ac servo motor controlled by the method

    另一種方法是採用singh演算法與微分代數理論相結合對非線性系統進行解耦設計，通過對採用singh演算法后得到的解耦系統的矩陣，來計算其本性耦合關系，尋找出某個分劃是原非線性系統的解耦結構，並以交流伺服電動機為例進行了分析。
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