Results 61 to 70 of about 90,421,360 (175)
Tzitzeica curves in Minkowski 3-space [PDF]
Bu tezde, Minkowski 3-uzayında null olmayan, null ve pseudo null Tzitzeica eğrileri çalışılmıştır. Gerekli alt yapıyı oluşturmak için Öklid uzayı, Öklid uzayında regüler eğri ve Frenet formülleri ifade edilmiş ve Minkowski 3- uzayı tanıtılmıştır.
Özerdem, Özgül
core +1 more source
What in the World Are 4D Shapes?
ABSTRACT It is often said that in special relativity, 4D shapes can be used to explain 3D shape projections onto frames of reference. Perdurantists have frequently used this as a motivation for their view of persistence. Despite this, philosophers never clearly state what 4D shapes are.
Jack Himelright +1 more
wiley +1 more source
Time-like loxodromes on helicoidal surfaces in Minkowski 3-space
Loxodromes in Euclidean 3-space are often used in navigation. We study time-like loxodromes which cut all meridians on helicoidal surfaces at a constant Lorentzian angle in Minkowski 3-space.
Murat Babaarslan +3 more
core +1 more source
Timelike surfaces with Bertrand geodesic curves in Minkowski 3–space
Geodesic curves on a surface play an essential role in reasonable implementation. A curve on a surface is a geodesic curve if its principal normal vector is aligned with the surface normal. Using the Serret–Frenet frame, the timelike (TL) surfaces can be
A. A. Almoneef, R. A. Abdel-Baky
doaj +1 more source
On Null Cartan Normal Helices in Minkowski 3-Space
In this paper, we introduce null Cartan normal helices in Minkowski space E13. We obtain explicit expressions for their torsions by considering the cases when the C-constant vector field is orthogonal to their axis or not orthogonal to it.
Emilija Nešović
doaj +1 more source
ABSTRACT In this work, novel electrostatic aspects of sharp cracks in brittle dielectrics are discussed using the example of an impermeable Griffith crack in an infinite linear isotropic dielectric plate. On the one hand, electrostatic force densities stemming from the Maxwell stress tensor according to Lorentz are derived mathematically, where the ...
Lennart Behlen +2 more
wiley +1 more source
Flexible polyhedra in the Minkowski 3-space [PDF]
We prove that flexible polyhedra do exist in the Minkowski 3-space and each of them preserves the (generalized) volume and the (total) mean curvature during a flex.
Victor Alexandrov
core
Frenet frames and invariants of timelike ruled surfaces
In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We show that a timelike ruled surface and its directing cone have the same base of Frenet frame.
Mehmet Önder, H. Hüseyin Uğurlu
doaj +1 more source
A multiparadigm modeling framework coupling kinetic Monte Carlo and lattice Boltzmann simulations is developed to investigate the combined effects of electrolyte composition and porous electrode microstructure in redox flow batteries. The approach links interfacial electrochemical kinetics with pore‐scale transport, revealing coupled transport–reaction
Avaneesh Balasubramanian +2 more
wiley +1 more source
Characterization of k,m-Type Slant Helices Using the Modified Orthogonal Frame in Minkowski 3-Space
Within the scope of differential geometry, exploring how curves relate to each other has long been a broad area of study for many scholars. When investigating curves, particularly space curves, the concept of frame fields, such as the Frenet–Serret frame,
Md Ajmal Khan +4 more
doaj +1 more source

