scholarly journals A Curve Satisfying K/T = s with constant K>0

2015 ◽  
Vol 12 (2) ◽  
Author(s):  
Yun Myung Oh ◽  
Ye Lim Seo
Keyword(s):  
Linear Function ◽  
Explicit Formula ◽  
Series Solution ◽  
Space Curve ◽  
Frenet Frame ◽  
Rectifying Curve

In the present paper, we investigate a space curve in which the curvature is constant and the torsion is a linear function. The aim of this paper is to find an explicit formula for this space curve when the ratioof the torsion to the curvature is a linear function when the curvature is constant. KEYWORDS: Space Curve, Curvature, Torsion, General Helix, Frenet Frame, Series Solution, Rectifying Curve

scholarly journals New Topological Configurations in the Continuous Heisenberg Spin Chain: Lower Bound for the Energy

2015 ◽  
Vol 2015 ◽  
pp. 1-3 ◽  
Author(s):  
Rossen Dandoloff
Keyword(s):  
Lower Bound ◽  
Heisenberg Model ◽  
Unit Vector ◽  
Space Curve ◽  
The Other ◽  
Frenet Frame ◽  
Heisenberg Spin ◽  
One Dimensional ◽  
Heisenberg Spin Chain ◽  
New Class

In order to study the spin configurations of the classical one-dimensional Heisenberg model, we map the normalized unit vector, representing the spin, on a space curve. We show that the total chirality of the configuration is a conserved quantity. If, for example, one end of the space curve is rotated by an angle of 2πrelative to the other, the Frenet frame traces out a noncontractible loop inSO(3)and this defines a new class of topological spin configurations for the Heisenberg model.

scholarly journals Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1451
Author(s):  
Jinhua Qian ◽  
Pei Yin ◽  
Xueshan Fu ◽  
Hongzeng Wang
Keyword(s):  
Linear Function ◽  
Bessel Functions ◽  
Complex Space ◽  
Three Dimensional ◽  
Arc Length ◽  
Rectifying Curve

In this work, the rectifying isotropic curves are investigated in three-dimensional complex space C3. The conclusion that an isotropic curve is a rectifying curve if and only if its pseudo curvature is a linear function of its pseudo arc-length is achieved. Meanwhile, the rectifying isotropic curves are expressed by the Bessel functions explicitly. Last but not least, the centrodes of rectifying isotropic curves are explored in detail.

CLASS OF BOOLEAN FUNCTIONS CONSTRUCTED USING SIGNIFICANT BITS OF LINEAR RECURRENCES OVER THE RING ℤ2n

2019 ◽  
Vol 6 (2) ◽  
pp. 90-94
Author(s):  
Hernandez Piloto Daniel Humberto
Keyword(s):  
Linear Function ◽  
Boolean Functions ◽  
Hamming Distance ◽  
Linear Recurrences ◽  
Maximum Period ◽  
Non Linear ◽  
The Given ◽  
Class Of Functions

In this work a class of functions is studied, which are built with the help of significant bits sequences on the ring ℤ2n. This class is built with use of a function ψ: ℤ2n → ℤ2. In public literature there are works in which ψ is a linear function. Here we will use a non-linear ψ function for this set. It is known that the period of a polynomial F in the ring ℤ2n is equal to T(mod 2)2α, where α∈ , n01- . The polynomials for which it is true that T(F) = T(F mod 2), in other words α = 0, are called marked polynomials. For our class we are going to use a polynomial with a maximum period as the characteristic polyomial. In the present work we show the bounds of the given class: non-linearity, the weight of the functions, the Hamming distance between functions. The Hamming distance between these functions and functions of other known classes is also given.

SERIES SOLUTION FOR THE RADIATION-CONDUCTION INTERACTION ON UNSTEADY MHD FLOW

2011 ◽  
Vol 14 (10) ◽  
pp. 927-941 ◽  
Author(s):  
I. Ahmad ◽  
T. Javed ◽  
Tasawar Hayat ◽  
Muhammad Sajid
Keyword(s):  
Series Solution ◽  
Mhd Flow
Sign in / Sign up

Export Citation Format

Share Document