Results 11 to 20 of about 104,140 (248)
Stability of General Newton Functional Equations for Logarithmic Spirals
Advances in Difference Equations, 2008 We investigate the generalized Hyers-Ulam stability of Newton functional equations for logarithmic spirals.
John Michael Rassias, Soon-Mo Jung
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Spiral Lambert's problem with generalized logarithmic spirals
, 2016 Lambert?s problem subject to a continuous acceleration is solved using the family of generalized logarithmic spirals. Thanks to the existence of two first integrals related to the energy and angular momentum surprising analogies with the Keplerian case are found. A minimum-energy spiral transfer exists.
Roa Vicens, Javier +1 more
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The logarithmic spiral, autoisoptic curve [PDF]
, 2010 In the Line of Investigation that in the department of “Technical Drawing” in the School of Agriculture Engineering of Madrid, we carry out on the study of The Technical Curves and his singularities, we demonstrate an interesting property of the Logarithmic Spiral.
Puerta Romero, Francisco +4 more
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A Logarithmic-Amplitude Polar Diagram [PDF]
Modeling, Identification and Control, 2001 A polar diagram where the amplitude of the transfer function is on a logarithmic scale, is presented. This gives a one-size-fits-all diagram with no need for zooming in and out, and no need for additional reasoning about infinite-radius encirclements ...
Trond Andresen
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The Logarithmic Spiral Neutron Guide [PDF]
Instruments, 2020 We present a neutron guide which is curved in the shape of a logarithmic spiral. Simulations and calculations for such a spiral guide are presented and the potential use of the guide for a reflectometer is investigated and compared to the conventional circularly curved guide geometry. We concentrate on the specific case of a beamport at the SINQ source.
Christine Klauser, Jochen Stahn
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Golden Spirals and Scalp Whorls: Nature's Own Design for Rapid Expansion. [PDF]
PLoS ONE, 2016 This paper documents what began as an exercise in curiosity-logarithmic spiral designs abound in nature-in galaxies, flowers, even pinecones, and on human scalps as whorls. Why are humans the only primates to have whorls on the scalp? Is the formation of
Sharad P Paul
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The Elliptic Logarithmic Spiral [PDF]
Nature, 1922 I AM much obliged to Mr. Wright for his correction (NATURE, July 8, p. 40). I had made a search in English and Continental books on curves and concluded that this spiral had been overlooked as a curve. But it appears to have been recognised in connexion with the spherical pendulum. Prof. Lamb in his “Dynamics,” p.
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Geometric Properties of Planar and Spherical Interception Curves
Axioms, 2023 In this paper, some geometric properties of the plane interception curve defined by a nonlinear ordinary differential equation are discussed. Its parametric representation is used to find the limits of some triangle elements associated with the curve ...
Yagub N. Aliyev
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Asymptotics of the entire functions with $\upsilon$-density of zeros along the logarithmic spirals
Karpatsʹkì Matematičnì Publìkacìï, 2019 Let $\upsilon$ be the growth function such that $r\upsilon'(r)/\upsilon (r) \to 0$ as $r \to +\infty$, $l_\varphi^c = \{z=te^{i(\varphi+c \ln t)}, 1 \leqslant t < +\infty\}$ be the logarithmic spiral, $f$ be the entire function of zero order.
M.V. Zabolotskyj, Yu.V. Basiuk
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Broadband Microwave Absorption by Logarithmic Spiral Metasurface [PDF]
Scientific Reports, 2019 AbstractMetamaterials have enabled the design of electromagnetic wave absorbers with unprecedented performance. Conventional metamaterial absorbers usually employ multiple structure components in one unit cell to achieve broadband absorption. Here, a simple metasurface microwave absorber is proposed that has one metal-backed logarithmic spiral ...
Shubo Wang, Bo Hou, Che Ting Chan
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