The monograph “Monomial (1,0,-1)–matrices–(4×4)” is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The transfer (displacement) in space is described by the vector (hodograph). The turn (rotation) in space is described by quaternion. The first part of this monograph - Application to the transfer in space - is dedicated to establish the system of basic matrices isomorphic to the quaternionic groups; to explore the qualities and structure of quaternionic matrices` multiplicative compositions; to find the equivalent correspondences to associative products of quaternionic matrices and vector algebra multiplicative compositions; to represent complex vector and scalar vector algebra products; to represent complex vector and scalar vector algebra products with quaternionic matrices. The authors consider the exposed data to be able to contribute to this research area, to permit to enhance the intellectual performance, to provide the engineer with simple and efficient mathematical apparatus.
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Prof., Dr.-ing. Victor Kravets, PhD Tamila Kravets, National Mining University, Dnipro, Ukraine. Olexiy Burov, Jack Baskin School of Engineering, University of California-Santa Cruz, CA, USA.
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The monograph 'Monomial (1,0,-1)-matrices-(4×4)' is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The transfer (displacement) in space is described by the vector (hodograph). The turn (rotation) in space is described by quaternion. The first part of this monograph - Application to the transfer in space - is dedicated to establish the system of basic matrices isomorphic to the quaternionic groups; to explore the qualities and structure of quaternionic matrices` multiplicative compositions; to find the equivalent correspondences to associative products of quaternionic matrices and vector algebra multiplicative compositions; to represent complex vector and scalar vector algebra products; to represent complex vector and scalar vector algebra products with quaternionic matrices. The authors consider the exposed data to be able to contribute to this research area, to permit to enhance the intellectual performance, to provide the engineer with simple and efficient mathematical apparatus. 148 pp. Englisch. Bestandsnummer des Verkäufers 9783330017849
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The monograph 'Monomial (1,0,-1)-matrices-(4×4)' is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The transfer (displacement) in space is described by the vector (hodograph). The turn (rotation) in space is described by quaternion. The first part of this monograph - Application to the transfer in space - is dedicated to establish the system of basic matrices isomorphic to the quaternionic groups; to explore the qualities and structure of quaternionic matrices` multiplicative compositions; to find the equivalent correspondences to associative products of quaternionic matrices and vector algebra multiplicative compositions; to represent complex vector and scalar vector algebra products; to represent complex vector and scalar vector algebra products with quaternionic matrices. The authors consider the exposed data to be able to contribute to this research area, to permit to enhance the intellectual performance, to provide the engineer with simple and efficient mathematical apparatus. Bestandsnummer des Verkäufers 9783330017849
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Kravets VictorProf., Dr.-ing. Victor Kravets, PhD Tamila Kravets, National Mining University, Dnipro, Ukraine. Olexiy Burov, Jack Baskin School of Engineering, University of California-Santa Cruz, CA, USA.The monograph Monomial . Bestandsnummer des Verkäufers 158122807
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Paperback. Zustand: Brand New. 01 edition. 148 pages. 8.66x5.91x0.34 inches. In Stock. Bestandsnummer des Verkäufers 3330017848
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The monograph 'Monomial (1,0,-1)-matrices-(4×4)' is dedicated to the further development of matrix calculation in the sphere of quaternionic matrices. Mathematical description of transfer (displacement) and turn (rotation) in space are fundamental for the mechanics of rigid body. The transfer (displacement) in space is described by the vector (hodograph). The turn (rotation) in space is described by quaternion. The first part of this monograph - Application to the transfer in space - is dedicated to establish the system of basic matrices isomorphic to the quaternionic groups; to explore the qualities and structure of quaternionic matrices` multiplicative compositions; to find the equivalent correspondences to associative products of quaternionic matrices and vector algebra multiplicative compositions; to represent complex vector and scalar vector algebra products; to represent complex vector and scalar vector algebra products with quaternionic matrices. The authors consider the exposed data to be able to contribute to this research area, to permit to enhance the intellectual performance, to provide the engineer with simple and efficient mathematical apparatus.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 148 pp. Englisch. Bestandsnummer des Verkäufers 9783330017849
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