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EBSCO_ocn830627948 |
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130320s2010 nyua ob 001 0 eng d |
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|z 2009016576
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|a 516.3/6
|2 22
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| 049 |
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|a UAMI
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| 245 |
0 |
0 |
|a Emerging topics on differential geometry and graph theory /
|c Lucas Bernard and François Roux, editors.
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| 260 |
|
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|a New York :
|b Nova Science Publishers,
|c ©2010.
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| 300 |
|
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|a 1 online resource (x, 417 pages) :
|b illustrations
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| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a computer
|b c
|2 rdamedia
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| 338 |
|
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|a online resource
|b cr
|2 rdacarrier
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| 490 |
1 |
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|a Mathematics research developments series
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| 504 |
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|a Includes bibliographical references and index.
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| 588 |
0 |
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|a Print version record.
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| 505 |
0 |
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|a ""EMERGING TOPICS ON DIFFERENTIALGEOMETRY AND GRAPH THEORY""; ""CONTENTS""; ""PREFACE""; ""APPLICATIONS OF GRAPH THEORY IN MECHANISMANALYSIS""; ""Abstract""; ""1. Introduction""; ""2 Graph Representation of Mechanisms""; ""2.1. Topological Graph Representation of Kcs with Simple Joints""; ""2.2. Bicolored Graph Representation of Kcs with Multiple Joints""; ""2.3. Tricolored Graph Representation of Glms""; ""2.4. Combinatorial Graph Representation of Glkcs""; ""3. Detection of Isomorphism Among Kcs and Glkcs""; ""3.1. Detection of Isomorphism Among Kcs""
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| 505 |
8 |
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|a ""(1) Theory to Detect Isomorphism among Kcs""""(2) Method to Detect Isomorphism among Kcs""; ""(3) Illustrations""; ""Example 1. Determination of Isomorphism of Kcs.""; ""Example 2: Determination of Isomorphism of Graphs""; ""3.2. Detection of Isomorphism among Glkcs""; ""(1) Theory to Detect Isomorphism Among Glkcs""; ""(2) Method to Detect Isomorphism Among Kcs""; ""(3) Illustrations""; ""Example 1: Determination of Isomorphism of the Glkcs, as Shown in Fig. 10(A) and (B)""; ""Example 2: Determination of isomorphism of the GLKCs, as shown in Fig. 11(a) and (b).""
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| 505 |
8 |
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|a ""4. Topology-Loop Characteristics of Kcs""""4.1. The Number of Topological Loops of Bicolored Graph""; ""4.2. The Number of Topological Loops of Tricolored Graph""; ""5. Structural Decomposition of Mechanisms""; ""5.1. Principle of Structural Decomposition""; ""5.2. Calculation of Transformation Number""; ""5.3. Types of Kinematic Units""; ""5.4. Criteria of Choosing the Sequential Circuits""; ""5.5. Examples of Structural Decomposition""; ""Example 1: Fig. 15(A) Shows A PLM with one DOF, and Fig. 15(B) the Weighted Graphand Fig. 15(C) the Decomposing Procedure.""
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| 505 |
8 |
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|a ""Example 2: Fig. 16(A) Shows a Hydraulic Mechanism with one DOF, and Fig. 16(B) theWeighted Bicolored Graph and Fig. 16(C) the Decomposing Procedure.""""Example 3: Fig. 17(A) Shows a GLM with one DOF, and Fig. 17(B) the WeightedTricolored Graph and Fig. 17(C) the Decomposing Procedure.""; ""Example 4: Fig. 18 Shows a Complex GLM, its Tricolored Graph, and the DecomposingProcedure.""; ""6. Conclusion""; ""References""; ""A CATEGORICAL PERSPECTIVE ON CONNECTIONSWITH APPLICATION IN THE FORMULATION OFFUNCTORIAL PHYSICAL DYNAMICS""; ""Abstract""; ""1. Introduction""
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| 505 |
8 |
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|a ""2. The Extension/Restriction of Scalars Categorical Adjunction""""2.1. The Adjoint Pair of Extension/Restriction Functors""; ""2.2. The Universal Object of Differential 1-Forms""; ""2.3. The Notion of Connection""; ""2.4. The Algebraic De Rham Complex and the Notion of Curvature""; ""3. The Abstract Equivalent Monadic Notion of Connection""; ""3.1. The Extension/Restriction of Scalars Monad-Comonad Pair""; ""3.2. Categorical Monadic Reformulation of Connections""; ""4. General Theory of Relativity from the ClassicalExtension/Restriction Monad-Comonad Pair""
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| 590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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| 650 |
|
0 |
|a Geometry, Differential.
|
| 650 |
|
0 |
|a Graph theory.
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| 650 |
|
6 |
|a Géométrie différentielle.
|
| 650 |
|
7 |
|a MATHEMATICS
|x Geometry
|x Differential.
|2 bisacsh
|
| 650 |
|
7 |
|a Geometry, Differential.
|2 fast
|0 (OCoLC)fst00940919
|
| 650 |
|
7 |
|a Graph theory.
|2 fast
|0 (OCoLC)fst00946584
|
| 700 |
1 |
|
|a Bernard, Lucas,
|d 1962-
|
| 700 |
1 |
|
|a Roux, François,
|d 1960-
|
| 776 |
0 |
8 |
|i Print version:
|z 9781607410119
|z 1607410117
|w (DLC) 2009016576
|
| 830 |
|
0 |
|a Mathematics research developments series.
|
| 856 |
4 |
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