1,723,083 research outputs found
Lehrbuch der Differential- und Integralrechnung; ursprünglich Übersetzung des Lehrbuches von J. A. Serret,
No full textVol. 3 is 4. und 5. Aufl."Grundriss der theorie der Fourierschen Reihe und des Fourierschen Integrales, von Axel Harnack": v.2, p.[540]-580.At head of title: Serret-Scheffers.Mode of access: Internet
Lehrbuch der Differential- und Integralrechnung : ursprünglich Übersetzung des Lehrbuches von J.A. Serret, /
No full text"Grundriss der theorie der Fourierschen Reihe und des Fourierschen Integrales, von Axel Harnack": v. 2, p.[540]-580At head of title: Serret-Scheffers
Serret-frenet formulas for octonionic curves
Full text linkYUCE, SALIM/0000-0002-8296-6495In this paper, we define spatial octonionic curves (SOC) in R( )(7)and octonionic curves (OC) in R-8 by using octonions. Firstly, we determine Serret-Frenet equations, and curvatures of the SOC in R-7. Then, Serret-Frenet equations for the OC in R-8 are calculated with the help of Serret-Frenet equations of SOC in R-7
A remark on a theorem of Serret
No full textAbstractSuppose f(x, y) is an indefinite quadratic form with integer coefficients and irrational roots. Let μ(f) denote the minimum value of |f(x, y)| on Z × Z⧹{(0,0)}. The author shows that for any solution (x, y) ∈ Z × Z of f(x, y) = ±μ(f) the ratio xy is a convergent of the continued fraction of one of the roots of f, except in the case where f(x, y) is equivalent but not equal to the form x2 − xy − y2. In this latter case there is only one exceptional solution, which the author completely describes. This improves a special case of a theorem of Serret [8]
TIME-LIKE AND SPACE-LIKE CURVES IN FRENET-SERRET FORMALISMS.
No full textThe Frenet-Serret formalism for both time-like and space-like curves is studied. The Frenet-Serret vectors and the Frenet-Serret coefficients in both three and four dimensions are expressed in terms of "world" quantities. The conversion from the three dimensional Frenet-Serret formalism to the four dimensional Frenet-Serret formalism and vice versa is described. Indicators of the four dimensional Frenet-Serret vector are investigated. The Frenet-Serret equations in both three and four dimensions are solved for constant Frenet-Serret coefficients with arbitrary initial conditions. Nulltetrads, spinors, bispinors, spinor adjoint and bispinor adjoint are then defined. The Frenet-Serret equations for the nulltetrads, the spinors, the bispinors and the bispinor adjoints are introduced. Darboux bivector forms of the Frenet-Serret equations for the orthonormal tetrads and the nulltetrads are derived. Darboux bispinor forms of the Frenet-Serret equations for the spinors and the bispinor adjoints are derived. Solutions for the nulltetrads and the Darboux bivectors and the Darboux dispinors are discussed. Motion of a point charge in electromagnetic field and motion of a freely spinning particle are briefly discussed. Most of the foregoing are duplicated for the skew-symmetrized descriptions. Examples of the above analysis are given for the time-like curve and the space-like curve with indicators ((epsilon)(,2) = -1, (epsilon)(,0) = (epsilon)(,1) = (epsilon)(,3) = 1). The former is picked in order to compare with the existing literature and the latter is chosen as the simplest case of space-like curves.Dept. of Physics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1985 .I345. Source: Dissertation Abstracts International, Volume: 46-09, Section: B, page: 3086. Thesis (Ph.D.)--University of Windsor (Canada), 1985
Leçons sur les applications pratiques de la géométrie et de la trigonométrie
No full textpar J.-A. Serret et Ch. Bourgeoi
Γενίκευσις των τύπων των Frenet-Serret
No full textΤο άρθρο αυτό ασχολείται με τους γεωμετρικούς τύπους καμπυλότητας Frenet-Serret. [Η περίληψη συντάχθηκε από τον καταλογογράφο
René-Bertrand Serret, La superstition transformiste
No full textFebvre Lucien. René-Bertrand Serret, La superstition transformiste. In: Annales. Économies, Sociétés, Civilisations. 9ᵉ année, N. 1, 1954. pp. 110-111
Ministerio 17 (BETSEIB)
No full text6ª ed. revisada por J. A. Serret y Ch. de Comberousse / traducida y aumentada por T. Monteverde. 4ª ed. [sic
Ministerio 17 (BETSEIB)
Full text link6ª ed. revisada por J. A. Serret y Ch. de Comberousse / traducida y aumentada por T. Monteverde. 4ª ed. [sic
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