Results 21 to 30 of about 88 (84)

Framed curves in the Euclidean space [PDF]

open access: yes, 2016
application/pdfA framed curve in the Euclidean space is a curve with a moving frame. It is a generalization not only of regular curves with linear independent condition, but also of Legendre curves in the unit tangent bundle.
HONDA, Shunichi   +5 more
core   +1 more source

On Spatial Quaternionic b-lift Curves

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
doaj   +1 more source

Modeling repulsive forces on fibres via knot energies

open access: yesComputational and Mathematical Biophysics, 2014
Modeling of repulsive forces is essential to the understanding of certain bio-physical processes, especially for the motion of DNA molecules. These kinds of phenomena seem to be driven by some sort of “energy” which especially prevents the molecules from
Blatt Simon, Reiter Philipp
doaj   +1 more source

On the torsional energy of torus knots under infinitesimal bending

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
The article deals with the infinitesimal bending theory application to the knots theory. The impact of infinitesimal bending on the torsional energy at torus knots is considered, and the results show that it is not stationary under infinitesimal bending.
Maksimović Miroslav D.   +4 more
doaj   +1 more source

Involutes of fronts in the Euclidean plane [PDF]

open access: yes, 2016
application/pdfFor a regular plane curve, an involute of it is the trajectory described by the end of a stretched string unwinding from a point of the curve. Even for a regular curve, the involute always has a singularity.
福永, 知則   +5 more
core   +1 more source

Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2022
Many curve evolutions have been determined which are integrable in recent times. The motion of curves can be defined by certain integrable equations including the modified Korteweg-de Vries.
Eren Kemal
doaj   +1 more source

Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon

open access: yesAnalysis and Geometry in Metric Spaces, 2021
We investigate the Hölder geometry of curves generated by iterated function systems (IFS) in a complete metric space. A theorem of Hata from 1985 asserts that every connected attractor of an IFS is locally connected and path-connected.
Badger Matthew, Vellis Vyron
doaj   +1 more source

International Journal of Mathematical Combinatorics, Vol.4 [PDF]

open access: yes, 2010
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
core   +1 more source

International Journal of Mathematical Combinatorics, Vol.4A [PDF]

open access: yes, 2010
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
core   +1 more source

Some new types of associated curves in Euclidean 3-space

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space.
Özdoğan Sibel   +3 more
doaj   +1 more source

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