Some problems in the theory of engineering systems (geometric approaches):
Saved in:
| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Hauppauge. New York
Nova Science Publishers, Inc.
[2013]
|
| Series: | Engineering tools, techniques and tables
|
| Subjects: | |
| Online Access: | FAW01 FAW02 |
| Item Description: | Print version record |
| Physical Description: | 1 online resource |
| ISBN: | 9781629480350 1629480355 9781628089967 1628089962 |
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| 245 | 1 | 0 | |a Some problems in the theory of engineering systems (geometric approaches) |c editors, Alexander Milnikov and Archil Prangishvil (Georgian Technical University, Tbilisi, Georgia) |
| 264 | 1 | |a Hauppauge. New York |b Nova Science Publishers, Inc. |c [2013] | |
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| 505 | 8 | |a Circuit tensor theory -- Topological fundamentals of the tensor circuit theory -- Topological invariants of circuits (power invariants) -- Operations of node division and connection -- Theoretical foundations of method of solving the complete problem on eigenvalues for many-dimensional oscillatory systems -- Some new results on estimation of roots of characteristic polynomials -- Algorithm of the new method of solution of the generalized problem on eigenvalues of many-dimensional electrical circuits -- Examples -- Solution of inverse and theory of spatial rotations group -- Solution of the inverse problem of kinematics of multi-joint spatial mechanisms -- A new algorithm of spatial rotations terminal control -- Control of terminal states of spatial rotations of robot-manipulators | |
| 505 | 8 | |a It has been proven that to any electric circuit there exists a corresponding two pairs of conjugate linear vector spaces. One of these pairs is generated by a homological group, while the other is cohomological. A new method of analysis of mechanical and electric circuits is proposed, which consists of representing the main variables and matrices of oscillatory circuits in terms of many-dimensional tensor objects. A solution is obtained for the problem of defining eigenvalues of pure-loop and pure-node circuits. A new method is developed for defining a full range of eigenvalues of linear oscil | |
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Record in the Search Index
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| author2 | Milnikov, Alexander Prangishvil, Archil |
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| author_facet | Milnikov, Alexander Prangishvil, Archil |
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| contents | Circuit tensor theory -- Topological fundamentals of the tensor circuit theory -- Topological invariants of circuits (power invariants) -- Operations of node division and connection -- Theoretical foundations of method of solving the complete problem on eigenvalues for many-dimensional oscillatory systems -- Some new results on estimation of roots of characteristic polynomials -- Algorithm of the new method of solution of the generalized problem on eigenvalues of many-dimensional electrical circuits -- Examples -- Solution of inverse and theory of spatial rotations group -- Solution of the inverse problem of kinematics of multi-joint spatial mechanisms -- A new algorithm of spatial rotations terminal control -- Control of terminal states of spatial rotations of robot-manipulators It has been proven that to any electric circuit there exists a corresponding two pairs of conjugate linear vector spaces. One of these pairs is generated by a homological group, while the other is cohomological. A new method of analysis of mechanical and electric circuits is proposed, which consists of representing the main variables and matrices of oscillatory circuits in terms of many-dimensional tensor objects. A solution is obtained for the problem of defining eigenvalues of pure-loop and pure-node circuits. A new method is developed for defining a full range of eigenvalues of linear oscil |
| ctrlnum | (ZDB-4-EBA)ocn863157604 (ZDB-4-ENC)ocn863157604 (OCoLC)863157604 (DE-599)BVBBV043779585 |
| dewey-full | 620.001/516 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 620 - Engineering and allied operations |
| dewey-raw | 620.001/516 |
| dewey-search | 620.001/516 |
| dewey-sort | 3620.001 3516 |
| dewey-tens | 620 - Engineering and allied operations |
| format | Electronic eBook |
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| id | DE-604.BV043779585 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:34:53Z |
| institution | BVB |
| isbn | 9781629480350 1629480355 9781628089967 1628089962 |
| language | English |
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| spelling | Some problems in the theory of engineering systems (geometric approaches) editors, Alexander Milnikov and Archil Prangishvil (Georgian Technical University, Tbilisi, Georgia) Hauppauge. New York Nova Science Publishers, Inc. [2013] 1 online resource txt rdacontent c rdamedia cr rdacarrier Engineering tools, techniques and tables Print version record Circuit tensor theory -- Topological fundamentals of the tensor circuit theory -- Topological invariants of circuits (power invariants) -- Operations of node division and connection -- Theoretical foundations of method of solving the complete problem on eigenvalues for many-dimensional oscillatory systems -- Some new results on estimation of roots of characteristic polynomials -- Algorithm of the new method of solution of the generalized problem on eigenvalues of many-dimensional electrical circuits -- Examples -- Solution of inverse and theory of spatial rotations group -- Solution of the inverse problem of kinematics of multi-joint spatial mechanisms -- A new algorithm of spatial rotations terminal control -- Control of terminal states of spatial rotations of robot-manipulators It has been proven that to any electric circuit there exists a corresponding two pairs of conjugate linear vector spaces. One of these pairs is generated by a homological group, while the other is cohomological. A new method of analysis of mechanical and electric circuits is proposed, which consists of representing the main variables and matrices of oscillatory circuits in terms of many-dimensional tensor objects. A solution is obtained for the problem of defining eigenvalues of pure-loop and pure-node circuits. A new method is developed for defining a full range of eigenvalues of linear oscil TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh TECHNOLOGY & ENGINEERING / Reference bisacsh Engineering fast Engineering mathematics fast Geometry fast Engineering Ingenieurwissenschaften Engineering mathematics Engineering Problems, exercises, etc Geometry Milnikov, Alexander edt Prangishvil, Archil edt Erscheint auch als Druck-Ausgabe Some problems in the theory of engineering systems (geometric approaches) |
| spellingShingle | Some problems in the theory of engineering systems (geometric approaches) Circuit tensor theory -- Topological fundamentals of the tensor circuit theory -- Topological invariants of circuits (power invariants) -- Operations of node division and connection -- Theoretical foundations of method of solving the complete problem on eigenvalues for many-dimensional oscillatory systems -- Some new results on estimation of roots of characteristic polynomials -- Algorithm of the new method of solution of the generalized problem on eigenvalues of many-dimensional electrical circuits -- Examples -- Solution of inverse and theory of spatial rotations group -- Solution of the inverse problem of kinematics of multi-joint spatial mechanisms -- A new algorithm of spatial rotations terminal control -- Control of terminal states of spatial rotations of robot-manipulators It has been proven that to any electric circuit there exists a corresponding two pairs of conjugate linear vector spaces. One of these pairs is generated by a homological group, while the other is cohomological. A new method of analysis of mechanical and electric circuits is proposed, which consists of representing the main variables and matrices of oscillatory circuits in terms of many-dimensional tensor objects. A solution is obtained for the problem of defining eigenvalues of pure-loop and pure-node circuits. A new method is developed for defining a full range of eigenvalues of linear oscil TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh TECHNOLOGY & ENGINEERING / Reference bisacsh Engineering fast Engineering mathematics fast Geometry fast Engineering Ingenieurwissenschaften Engineering mathematics Engineering Problems, exercises, etc Geometry |
| title | Some problems in the theory of engineering systems (geometric approaches) |
| title_auth | Some problems in the theory of engineering systems (geometric approaches) |
| title_exact_search | Some problems in the theory of engineering systems (geometric approaches) |
| title_full | Some problems in the theory of engineering systems (geometric approaches) editors, Alexander Milnikov and Archil Prangishvil (Georgian Technical University, Tbilisi, Georgia) |
| title_fullStr | Some problems in the theory of engineering systems (geometric approaches) editors, Alexander Milnikov and Archil Prangishvil (Georgian Technical University, Tbilisi, Georgia) |
| title_full_unstemmed | Some problems in the theory of engineering systems (geometric approaches) editors, Alexander Milnikov and Archil Prangishvil (Georgian Technical University, Tbilisi, Georgia) |
| title_short | Some problems in the theory of engineering systems (geometric approaches) |
| title_sort | some problems in the theory of engineering systems geometric approaches |
| topic | TECHNOLOGY & ENGINEERING / Engineering (General) bisacsh TECHNOLOGY & ENGINEERING / Reference bisacsh Engineering fast Engineering mathematics fast Geometry fast Engineering Ingenieurwissenschaften Engineering mathematics Engineering Problems, exercises, etc Geometry |
| topic_facet | TECHNOLOGY & ENGINEERING / Engineering (General) TECHNOLOGY & ENGINEERING / Reference Engineering Engineering mathematics Geometry Ingenieurwissenschaften Engineering mathematics Engineering Problems, exercises, etc Geometry |
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