Results 31 to 40 of about 86 (82)
Non‐Newtonian Evolutoids and Pedaloids of Multiplicative Plane Curves
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The aim of this paper is to investigate properties of non‐Newtonian (multiplicative) evolutoids and pedaloids of multiplicative plane curves in multiplicative Euclidean space. First, we define the notions of multiplicative pedal curve, multiplicative evolute, multiplicative evolutoids, multiplicative pedaloids, and multiplicative contrapedal of regular
Xinyu Yao, Haiming Liu, Shikha Binwal
wiley +1 more source
Demonstratio MathematicaIn this study, singularity theory is used to explore the geometrical and topological properties of three types of curves and surfaces in multiplicative Euclidean space.
Li Jiaxin +3 more
doaj +1 more source
GEODESIC COMPLETENESS FOR SOBOLEV METRICS ON THE SPACE OF IMMERSED PLANE CURVES
Forum of Mathematics, Sigma, 2014 We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as for ...
MARTINS BRUVERIS +2 more
doaj +1 more source
Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source
On characterizations of g n-helices with Euler angles
Open MathematicsCurvature and torsion, in their most general forms, are defined in terms of Euler angle-based parametrization via the Cartan matrix, which leads to the Serret-Frenet equations.
Altinok Mesut, Kula Levent
doaj +1 more source
Behavior of spatial curves under different transformations in Euclidean 4-space
Demonstratio MathematicaThis study investigates the conditions under which various curves maintain their characteristics when mapped between two regular surfaces in four-dimensional Euclidean space E4{{\mathbb{E}}}^{4}.
Badyal Pushpinder +2 more
doaj +1 more source
Framed curves in the Euclidean space
, 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
Some aspects of normal curve on smooth surface under isometry
Demonstratio MathematicaThe normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet +2 more
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, for the orthogonal group G = O(2) and special orthogonal group G = O+(2) global G-invariants of plane paths and plane curves in two-dimensional Euclidean space E2 are studied.
Khadjiev Djavvat, Ören İdris
doaj +1 more source
Involutes of fronts in the Euclidean plane
, 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