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Logarithmic-spiral focusing monochromator
Review of Scientific Instruments, 1976A crystal monochromator with a logarithmic-spiral curvature has been designed as part of a low-angle x-ray diffraction camera that uses synchrotron radiation emanating from the storage ring SPEAR at Stanford Linear Accelerator Center. The logarithmic-spiral curvature allows a greater demagnification of the source than is permitted by a cylindrical ...
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Zetaform or logarithmic spiral beach
Australian Geographer, 1978(1978). Zetaform or logarithmic spiral beach. Australian Geographer: Vol. 14, No. 1, pp. 44-45.
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Plane logarithmic spiral with peripheral excitation
Radiophysics and Quantum Electronics, 1990In a planar logarithmic spiral excited at its periphery there simultaneously exist surface, quasieffluent, and radiated waves; the phase velocities of surface and quasieffluent waves are identical and depend on the reduced radius kρ, which defines the regions of normal and anomalous dispersion; in the region kρ∼n the surface wave transforms to a ...
S. N. Boiko, K. P. Yatsuk
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Flying Along a Logarithmic Spiral
Science, 2000ORGANISMAL BIOLOGY Peregrine falcons use two high performance skills—flight speed and visual acuity—to attack their prey. In a trio of papers, Tucker and his colleagues model the quantitative aspects of aerodynamic drag, assess the optimal integration of speed and sight, and present field observations of falcon flight.
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Logarithmic and hyperbolic spirals associated with Schrodinger's equation
Journal of Differential Equations, 2022Geometric properties of the solutions of the equation \[ Q''+\frac{2}{\zeta}Q'-Q+ia(\zeta Q)'=0, \quad 00\), and become singular as \(\zeta \to 0^+\) They rotate around \((0, 0)\) with \({\theta}'_j(\zeta)
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Logarithmic spiral — A splendid curve
Resonance, 2004Due to its various peculiarities, logarithmic spiral drew the attention of mathematicians and was called ‘spiral mirabilis’ by Jacob Bernoulli I. In this article some properties of logarithmic spiral have been described along with the appearance as well as applications of the curve in art and nature.
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On a Property of Logarithmic Spirals
Mathematics Magazine, 1968Logarithmic spirals, analyzing curve on surface of cylinder, existence and conditions of ellipticity conditions, determining curve transformation into ellipse based on logarithmic spiral ...
N. X. Vinh, A. Zirakzadeh
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Beautiful Math--Aesthetic Patterns Based on Logarithmic Spirals
IEEE Computer Graphics and Applications, 2013A simple, fast method generates various visually appealing spiral patterns. The method is based on the concept that spiral patterns comprise a symmetry group of tilings. It employs invariant mappings and a dynamical system to create seamless colored patterns.
, Xinchang Wang, , Peichang Ouyang
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Logarithmic Spiral Bevel Gear Tooth Contact Inspection
Applied Mechanics and Materials, 2010Introduction of spiral bevel gear tooth contact detection method, detection method based on the principle of EPG in the Y9550-type bevel gear roll tester on a pair of spiral bevel gear tooth contact area of sample detection experiment, obtained by experiment logarithmic spiral bevel gear contact area of the location, shape and size of the result.
Qiang Li +3 more
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A certain feature of logarithmic spirals
Journal of Mathematical Sciences, 2011A curve formed by inversion of a logarithmic spiral is called a double logarithmic spiral. The curves in this family possess the following property: there always exists such a spiral with continuous and monotone curvature satisfying any possible boundary conditions (endpoints, tangents, and curvatures).
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