Results 11 to 20 of about 12,458 (247)
Logarithmic spirals and continue triangles
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ANATRIELLO, GIUSEPPINA +1 more
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Stability of General Newton Functional Equations for Logarithmic Spirals
We investigate the generalized Hyers-Ulam stability of Newton functional equations for logarithmic spirals.
John Michael Rassias, Soon-Mo Jung
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A Logarithmic-Amplitude Polar Diagram [PDF]
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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Golden Spirals and Scalp Whorls: Nature's Own Design for Rapid Expansion. [PDF]
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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Geometric Properties of Planar and Spherical Interception Curves
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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Broadband Microwave Absorption by Logarithmic Spiral Metasurface [PDF]
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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Spirals and ribbons in counter-rotating Taylor-Couette flow: frequencies from mean flows and heteroclinic orbits [PDF]
A number of time-periodic flows have been found to have a property called RZIF: when a linear stability analysis is carried out about the temporal mean (rather than the usual steady state), an eigenvalue is obtained whose Real part is Zero and whose ...
Bengana, Yacine, Tuckerman, Laurette S.
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The Elliptic Logarithmic Spiral [PDF]
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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Asymptotics of the entire functions with $\upsilon$-density of zeros along the logarithmic spirals
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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Bulge formation from SSCs in a responding cuspy dark matter halo [PDF]
We simulate the bulge formation in very late-type dwarf galaxies from circumnuclear super star clusters (SSCs) moving in a responding cuspy dark matter halo (DMH). The simulations show that (1) the response of DMH to sinking of SSCs is detectable only in
Cora S. A. +6 more
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