Results 21 to 30 of about 1,034 (248)
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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THE LOGARITHMIC SPIRAL AND ITS SPHERICAL COUNTERPART
Journal of Industrial Design and Engineering Graphics, 2020 Logarithmic spirals are isogonal trajectories of pencils of lines. From a series of geometric consequences, we pick out a few which are relevant for kinematics: When a logarithmic spiral rolls on a line, its asymptotic point traces a straight line. Hence,
Hellmuth Stachel +2 more
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Zbornik radova (Građevinski fakultet Sveučilišta u Rijeci), 2022 U ovom radu detaljnije se proučavaju svojstva logaritamske spirale zadane upolarnom sustavu te je stoga u uvodu najprije ukratko objašnjen polarni sustav. Usredišnjem dijelu rada obrazloženo je svojstvo logaritamske spirale koja sve svojeradijalne zrake siječe pod istim konstantnim kutom.
Rabar, Karmen, Sošić, Milena
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Factoring the logarithmic spiral
Inventiones Mathematicae, 1988 If f is a K-quasiconformal homeomorphism of Jordan domains in the plane, then for any given \(c>1\), f is equal to some composition of \(N1\). Then it is easy to show that \(s_ k\) is an L-quasi-isometry, i.e., \[ (1/L)| p-q| \leq | s_ k(p)-s_ k(q)| \leq L| p-q|,\quad \forall p,q\in \bar D^ 2.
He, Zheng-Xu, Freedman, Michael H.
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Photospheric logarithmic velocity spirals as MHD wave generation mechanisms [PDF]
, 2015 High-resolution observations of the solar photosphere have identified a wide variety of spiralling motions in the solar plasma. These spirals vary in properties, but are observed to be abundant at the solar surface.
Mumford, S. J. +3 more
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Stability of generalized Newton difference equations
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 In the paper we discuss a stability in the sense of the generalized Hyers-Ulam-Rassias for functional equations Δn(p, c)φ(x) = h(x), which is called generalized Newton difference equations, and give a sufficient condition of the generalized Hyers-Ulam ...
Wang Zhihua, Shi Yong-Guo
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Spiral-logarithmic structures in a Heisenberg ferromagnet [PDF]
Journal of Experimental and Theoretical Physics Letters, 2001 Spiral-logarithmic structure is suggested as a stationary solution of a modified equation for the Heisenberg model, and the single- and N-soliton solutions are constructed on this base.
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A “Logarithmic Spiral” in the Brain: Images of an Intracranial Dermoid Cyst
Brain Science Advances, 2016 A logarithmic spiral is a self-similar spiral curve, which often appears in nature, e.g., mollusk shells. In the normal tissues of the human body, the cochlea is also an approximate logarithmic spiral. However, approximate logarithmic spirals are rarely,
Meiqing Lou, Yaodong Zhao
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