Results 11 to 20 of about 12,450 (260)

Stability of General Newton Functional Equations for Logarithmic Spirals

open access: yesAdvances in Difference Equations, 2008
We investigate the generalized Hyers-Ulam stability of Newton functional equations for logarithmic spirals.
John Michael Rassias, Soon-Mo Jung
doaj   +2 more sources

A Logarithmic-Amplitude Polar Diagram [PDF]

open access: yesModeling, 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
doaj   +1 more source

Golden Spirals and Scalp Whorls: Nature's Own Design for Rapid Expansion. [PDF]

open access: yesPLoS 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
doaj   +1 more source

Geometric Properties of Planar and Spherical Interception Curves

open access: yesAxioms, 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
doaj   +1 more source

Nonlinear Single-Armed Spiral Density Waves in Nearly Keplerian Disks [PDF]

open access: yes, 1999
Single-armed, stationary density waves can propagate in very weakly self-gravitating gas disks dominated by a central mass. Examples include circumstellar disks of protostars and molecular disks in galactic nuclei.
Goodman, Jeremy, Lee, Erick
core   +3 more sources

Broadband Microwave Absorption by Logarithmic Spiral Metasurface [PDF]

open access: yesScientific 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
openaire   +4 more sources

The Elliptic Logarithmic Spiral [PDF]

open access: yesNature, 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.
openaire   +3 more sources

Asymptotics of the entire functions with $\upsilon$-density of zeros along the logarithmic spirals

open access: yesKarpatsʹkì 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
doaj   +1 more source

Bulge formation from SSCs in a responding cuspy dark matter halo [PDF]

open access: yes, 2007
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
core   +3 more sources

Logarithmic spirals and continue triangles

open access: yesJournal of Computational and Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
ANATRIELLO, GIUSEPPINA   +1 more
openaire   +4 more sources

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