映射的微分 的英文怎麼說
中文拼音 [yìngshèdewéifēn]
映射的微分
英文
differential of a mapping-
Based on vc and opengl software platform, as a part of integrate planar mechanism analysis and simulation cai, the mechanism theory has been adopted to analysis the movement trace and profile of linkage ; adopt oriented object method to capsulate the class module. each corresponding class module complete parameter storage and process ; adopt message - map, message - trigger to organize the programming and response the user " s input ; use the document - view structure of the visual vc + + mfc class foundation as the basis of the programming architecture to complete those functions. use oriented object method to product the following class module : control class, render class, document class, mechanism class and other classes ; adopt opengl library to draw the three dimensional graph based on the result of mechanism analysis ; use model transforming, lighting, material, color, frame - buffer, display - list, graphics - component combine etc to draw the three - dimension mechanism and make the simulation of linkage has high reality
本文敘述了平面連桿機構運動分析和可視化模擬的理論演算法及其編程實現方法，基於微機vc平臺，採用opengl圖形庫編程，利用面向對象的方法對機構進行功能封裝，利用vc + +的文檔視結構作為最基本的窗架，生成並控制三維繪制類、文檔類、主窗口類和一些輔助類，利用windows平臺的消息映射、事件驅動來組織程序運行和響應用戶反饋，利用機構分析得出坐標數據驅動opengl庫繪制三維機構圖形。Based on this kind of relations between the topological structures and the content distributions we study the web modelling, community identification and some related application problems in detail : first, after some existed characteristics of the web topology are verified, some new characteristics are discovered : the high clustering property in micro - topology ( high average gathering coefficient ), the obvious mapping relation between the topological struture and the content in micro - level 、 linear irrelevant between the degree distribution of network nodes and the relative degree distribution of contents etc. then after analysis the topology of the complex network and the network modeling, the muti - scale determinism is proposed, especially for the information network a web evolvement model ( prcp model ) that fused the node authority and the node correlation is proposed. the model deduction, evolving learning verification and large scale experiment proof indicate that the model can explain the micro - topology centralizing phenomena, can imitate the mapping relation between the network connecting distribution and network content relative distribution and also can predict the mapping relation between the topology clustering and content clustering
本文在詳細觀察了web網路的拓撲結構特徵以及拓撲結構與內容分佈相互關系的基礎上，以信息網路的物理連接拓撲結構與節點內容相關度分佈之間的相互關系為主線，從網路特徵、網路建模、社區分析及相關應用方面問題進行了深入細致地探討:首先在驗證了前人提出的web網路拓撲結構特徵基礎上，進一步發現了信息網路所具有的一些新特徵: 1 ）網路微觀顆粒度的拓撲結構聚團與內容聚團存在明顯的映射關系，具體包括節點之間的物理連邊概率與節點之間的內容相關度成指數比例關系、節點形成三角形拓撲結構的概率與節點內容相關緊密程度之間同樣具有一種指數比例關系; 2 ）網路節點連接度整體分佈與節點內容相關度整體分佈是線性無關的; 3 ）網路微觀拓撲結構中的存在很強的集聚性（平均聚團系數很高） 。We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution
先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性Then we in - vest gate seiberg - witten map, which defines the equivalence relation of the gauge symmetries in different spaces. we also analyse the u ( l ) gauge electromagnetic field in noncommutative space. finally we discuss the ambiguities of seiberg - witten map, and find although that some part of the ambiguities can be absorbed by gauge transformation and hence negligible, the existence of the matter field makes some other parts difficult to be absorbed by gauge transformation or field redefinition
然後利用seiberg - witten映射，我們研究了不同空間的規范對稱性的等價問題，並對非對易空間的電磁場進行了微擾分析，最後我們對seiberg - witten映射的松動進行了討論，研究發現這些松動中的一部分可以由規范變換吸收因而是可以忽略的，由於物質場的存在，另外一部分很難用規范變換和場的重定義吸收。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。Sufficient conditions are obtained for the existence of bounded positive solutions of the n - order delay differential equations with nonlinear neutral term, on the basis of lebesgue ' s monotone convergence theorem and banach contraction theorem
摘要利用控制收斂定理和壓縮映射原理研究了一類具非線性中立項時滯微分方程有界正解的存在性，獲得了其存在有界正解的充分條件。This dissertation studies mainly approximations to special classes of set - valued maps and their applications, in order to compute differentials of some class of set - valued maps and to solve basis theories of constructing high - ordered methods of nonsmooth functions. then results obtained in this dissertation are applied to optimality theories in optimization
本文針對研究非光滑函數的高階演算法的理論基礎和集值映射的微分的計算的課題，主要研究幾類特殊類型的集值映射的（方向）導數的計算與近似，並將得到的結果應用到優化的最優性理論中。In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation
本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， wTime maps and the existence of periodic solutions of the second order quasilinear differential equations
時間映射與二階擬線性微分方程周期解的存在性The perturbed theory given in chapter 2 and a new definition on sensitive dependence on initial values of impulse - interval functions are adopted. from the abstract to real, we discuss a real model, named integrate - and - fire circuits, simulating the dynamics of in - formation processing in neurons. by the means of marotto theorem, we prove ide g vii the existence of chaotic dynamics in this model with the parameters in some restricted regions
接著，我們探討了一般的動態神經元的數學模型與脈沖微分方程的表示關系；對一種能用來模擬動態神經元動力學行為的整合-激發電路的模型作了分析，我們構造了合理的時間映射，分析了時間映射所具有的性質，並給出了該時間映射是馬羅陀意義下混沌的相應參數選取的具體演算法與表示式。Chapter 2 established derivatives of a class of set - valued maps and differentials of subdifferential maps of convex functions in the sense of tyurin ( 1965 ) and banks & jacobs ( 1970 ) based on theories of convex pairs space
在第2章中，建立了一類基於凸集對空間的理論在tyurin （ 1965 ）和banks & jacobs （ 1970 ）意義下集值映射的導數的計算公式和凸函數的次微分映射的微分。Based on nonsmooth analysis theory, the viability criterion is verified under the condition that the set - valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points
當右端集值映射為多面體，邊界為次可微函數，且次微分為有限點集凸包時，基於非光滑分析理論，給出了在一點處檢驗生存性條件是否成立的方法。A normalized mapping rule of raw grey series is introduced by analysis of exponential function characteristics of the whitening differential equation, which makes the non - equigap grey prediction model ngm ( 1, 1 ) fit for universal raw grey series, improves prediction precision greatly, meanwhile makes innovation to series with negative values and enlarges grey prediction theory
通過對白化微分方程解的指數函數特性的分析，研究了原始灰序列的歸一化映射規則，使非等間距灰預測模型ngm （ 1 ， 1 ）適應一般灰序列，灰預測精度也大大提高。這亦解決了含負值灰序列預測的理論問題，拓寬了灰色預測理論。In this dissertation we mainly study normal family of meromorphic functions, uniqueness of meromorphic functions, complex oscillation of differential equations in the complex domain and the value distrbution of quasimeromorphic mapping. the main works are following : 1
本文主要研究亞純函數正規族，亞純函數唯一性、復域內微分方程解的復振蕩及擬亞純映射的值分佈問題。本文主要工作簡述如下：一Its properties and design method is discussed in chapter 4. for control meshes with arbitrary topology, we present a universal method in chapter 5 to construct parametric curves and surfaces. generalized rational parametric surface can be controlled precisely and flexible, and it is easy to model local features and 3d primitives
然後，在第五章中，我們將控制網格進一步推廣到任意可定向二維拓撲流形，提出了一個通用的方法將控制網格映射到與之拓撲同胚的微分流形上，統一了廣義有理參數曲線曲面的構造過程。The first part is concerned with caristi ' s fixed point theorem, while the existence of positive periodic solutions of retarded functional differential equations is discussed in the second part
第一部分研究集值型映射的caristi型不動點定理，第二部分討論滯后型泛函微分方程正周期解的存在性。The same rank lipschitz continuous development of single - valued mappings is proven by means of partially ordered theory on finite dimensional euclidean spaces. the problem that under what conditions the - resolvent operator of a maximal tj - monotone set - valued mapping is a lipschitz continuous single - valued mapping on whole space, which also answers the open problem mentioned above, is studied on finite dimensional euclidean spaces. the problem is researched that under what conditions the - resolvent operator of - subdifferential mapping of a proper functional is a lipschitz continuous single - valued mapping on whole space
?引入了集值映射的-預解運算元概念；藉助于偏序理論證明了有限維歐氏空間中的單值映射可同秩lipschitz連續拓展；討論了有限維歐氏空間中的極大-單調集值映射的-預解運算元在什麼條件下是整個空間上的一個lipschitz連續的單值映射，這一結果也在有限維空間上解決了上面提到的公開問題；還討論了真泛函的-次微分映射的-預解運算元在什麼條件下是整個空間上的一個lipsehitz連續的單值映射。In 2000. lee and ding introduced the concepts of - monotonicity and - subdifferential for set - valued mappings and proper functionals, respectively, and lee also presents an open problem : if q : h - 2h is a maximal - monotone set - valued mapping, then under what conditions do we have rge ( i + q ) - h
2000年， lee和ding分別介紹了集值映射的-單調性和真泛函的-次微分兩個概念，同時， lee還提出了一個公開問題：如果q h 2 ~ h是一個極大-單調的集值映射，那麼rge （ i + q ） = h在什麼條件下成立According to topological structure of control mesh, we generate generalized rational parametric surfaces in two manners. for a control mesh with consistent parameterization, the surface can be easily constructed because it can be mapped to differential manifold directly
對于具有簡單拓撲結構，存在著一致的全局參數化的控制網格，我們將把控制網格直接映射到微分流形上，因此可以很容易地對曲面進行構造和控制。The basic idea to construct grpcs is to establish object topology first, then use geometry to change the shape of differential manifold. in chapter 2, we discuss the theoretical framework of grpcs that includes some relative idea about differential manifold. firstly, the definition of potential function on manifold is given
本文首先討論了廣義有理參數曲線曲面的理論基礎，依次闡述了黎曼幾何中關于流形、函數和映射的基本概念，並在此基礎上提出了微分流形上勢函數的定義。分享友人