Results 21 to 30 of about 104,140 (248)

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, Giorgio Figliolini, Jorge Angeles   +2 more
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Monotonicity and Inequalities for Ratio of the Generalized Logarithmic Means [PDF]

, 2003
Let c > b > a > 0 be real numbers. Then the function f(r) = Lr(a,b)/Lr(a,c) is strictly decreasing on (−∞,∞), where Lr(a, b) denotes the generalized (extended) logarithmic mean of two positive numbers a and ...
Qi, Feng, Chen, Chao-Ping
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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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Logarithmic Spiral

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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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
doaj   +1 more source

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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Numerical Study of Shock Wave Attenuation in Two-Dimensional Ducts Using Solid Obstacles: How to Utilize Shock Focusing Techniques to Attenuate Shock Waves

Aerospace, 2015
Research on shock wave mitigation in channels has been a topic of much attention in the shock wave community. One approach to attenuate an incident shock wave is to use obstacles of various geometries arranged in different patterns. This work is inspired
Qian Wan, Veronica Eliasson
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The Elliptic Logarithmic Spiral—a New Curve [PDF]

Nature, 1922
IF, in an elastic system with one degree of freedom, and friction proportional to the velocity, the relation of the “free” force to the displacement be considered, an interesting curve results.
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Logarithmic Spirals and Right-angled Triangles

, 2020
This article presents some recurrent functions which we can use to make Right-angled Triangles and through their special arrangement we can obtain logarithmic spirals, and their discrete form.
Rahul Gohil
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