Description |
1 online resource. |
Physical Medium |
polychrome |
Description |
text file |
Series |
Engineering Tools, Techniques and Tables
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Engineering tools, techniques and tables.
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Bibliography |
Includes bibliographical references and index. |
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. |
Summary |
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. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Engineering mathematics.
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Engineering mathematics. |
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Engineering -- Problems, exercises, etc.
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Engineering. |
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Geometry.
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Geometry. |
Genre/Form |
Problems and exercises.
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Electronic books.
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Electronic books.
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Problems and exercises.
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Added Author |
Milnikov, Alexander, editor.
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Prangishvil, Archil, editor.
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Other Form: |
Print version: Some problems in the theory of engineering systems (geometric approaches) 9781628089967 (DLC) 2013033664 (OCoLC)859168463 |
ISBN |
9781629480350 (electronic book) |
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1629480355 (electronic book) |
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9781628089967 |
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1628089962 |
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