Displaying similar documents to “Iterations over quaternions.”

Mechanics

Stefan Banach

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CONTENTS Preface................ III CHAPTER I. THEORY OF VECTORS I. Operations on vectors § 1. Preliminary definitions.................. 1 § 2. Components of a vector.................. 2 § 3. Sum and difference of vectors.................. 3 § 4. Product of a vector by a number.................. 4 § 5. Components of a sum and product.................. 5 § 6. Resolution of a vector.................. 6 § 7. Scalar product.................. 7 § 8. Vector product.................. 9 § 9....

An example of a non-degenerate precession possessing two distinct pairs of axes

Giancarlo Cantarelli, Corrado Risito (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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In the present paper we provide an interesting example of a non-degenerate precession possessing two distinct pairs p , f , p ′ , f ′ of axes of precession and figure. Thus the problem arises of the existence of classes of precessions possessing a unique axis of precession and a unique axis of figure. In the fourth section we show that the class of non-degenerate regular precessions enjoys this property.

An elementary theory of the oblique impact of rods

Robin J. Knops, Piero Villaggio (2001)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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An extension is proposed of a classical approximate method for estimating the stress state in an elastic rod obliquely colliding against a rigid wall.