Results 21 to 30 of about 88 (84)
Framed curves in the Euclidean space [PDF]
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
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On Spatial Quaternionic b-lift Curves
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
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Modeling repulsive forces on fibres via knot energies
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
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On the torsional energy of torus knots under infinitesimal bending
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
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Involutes of fronts in the Euclidean plane [PDF]
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
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Motion of Inextensible Quaternionic Curves and Modified Korteweg-de Vries Equation
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
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Hölder Parameterization of Iterated Function Systems and a Self-Affine Phenomenon
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
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International Journal of Mathematical Combinatorics, Vol.4 [PDF]
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)
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International Journal of Mathematical Combinatorics, Vol.4A [PDF]
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
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
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