Associated spherical partner of space curve in Euclidean 3-space
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DOI: 10.1016/j.topol.2019.06.005
Abstract: Abstract In this paper we define associated spherical partner, radial function and radial spherical function for space curve which doesn't lie on the sphere in Euclidean 3-space. Using these notions we discuss some special curves… read more here.
Keywords: spherical partner; associated spherical; euclidean space; space ... See more keywords
Geometric effects resulting from square and circular confinements for a particle constrained to a space curve
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DOI: 10.1103/physreva.97.042108
Abstract: Investigating the geometric effects resulting from the detailed behaviors of the confining potential, we consider square and circular confinements to constrain a particle to a space curve. We find a torsion-induced geometric potential and a… read more here.
Keywords: effects resulting; space curve; geometric effects; square circular ... See more keywords
Jerk by axes in motion along a space curve
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DOI: 10.15632/jtam-pl.55.4.1437
Abstract: In the paper, a formula for calculation of the jerk of a point moving along a space curve is derived. Such a formula is needed for control of motion to calculate jerks (second derivatives of… read more here.
Keywords: along space; motion; jerk; space curve ... See more keywords