in this paper, we give some characterizations for legendre spherical, legendre normal and legendre rectifying curves in the 3-dimensional sasakian space. furthermore, we show that legendre spherical curves are also legendre normal curves. in particular, we prove that the inverse of curvature of a legendre rectifying curve is a non-constant linear function of the arclength parameter.

This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light causal characteristics, we give some representations curves. Additionally, proved that tangential function every curve fulfills a third-order differential equation. Then, number well-known rectifying, Lorentzian, hyperbolic are consequences this

Conflicting evidence has been obtained regarding whether transient receptor potential cation channels (TRPC) are store-operated channels (SOCs) or receptor-operated channels (ROCs). Moreover, the Ca/Na permeability ratio differs depending on whether the current-voltage (I-V) curve has a doubly rectifying shape or inward rectifying shape. To investigate the calcium permeability of TRPC4 channels...

In this study, we introduce the natural mate and conjugate of a Frenet curve in three dimensional Lie group $ \mathbb{G} with bi-invariant metric. Also, give some relationships between its or $. Especially, obtain results for when is general helix, slant spherical curve, rectifying Salkowski (constant curvature non-constant torsion), anti-Salkowski (non-constant constant Bertrand curve. Finally...

The theory of Finsler metric was introduced by Paul Finsler, in 1918. author defines this using the Minkowski norm instead inner product. Therefore, geometry is a more general and includes Riemannian metric. In present work, metric, we investigate position vector rectifying, normal osculating curves Finslerian 3-space $\mathbb{F}^{3}$. We obtain characterizations these Furthermore, show that re...

In this present paper, rectifying curves are re-characterized in a shorter and simpler way using harmonic curvatures some relations between focal found terms of their curvature functions $n-$dimensional Euclidean space. Then, Salkowski curve, which is the curve given space investigated. Finally, figures related to theory case $n=3$.

A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized $\gamma$ such that its position vector always lies space (i.e., orthogonal complement of principal normal field) $\mathbb{E}^n$. In this paper, analogy to this, we introduce notion $f$-rectifying a by $s$ $f$-position field $\gamma_f$, $\gamma_f(s) = \int f(s) d\gamma$, $\mathbb{E}^n$, where $f...

The main aim of this paper is to investigate the nature invariance rectifying curve under conformal transformation and obtain a sufficient condition for which such remains conformally invariant. It shown that normal component geodesic curvature homothetic

In this study, we consider framed curves as regular or singular space with an adapted frame in Euclidean 3-space. We define natural mates of a curve that are tangent to the generalized principal normal curve. Subsequently, present relationships between and its mates. particular, establish some necessary sufficient conditions for specific curves, such spherical helices, slant rectifying curves. ...

In this study, we present a bilayer resistive switching memory device with Pt/Ta2O5/HfO2-x /Hf structure, which shows sub-1 μA ultralow operating current, median switching voltage, adequate ON/OFF ratio, and simultaneously containing excellent self-rectifying characteristics. The control sample with single HfO2-x structure shows bidirectional memory switching properties with symmetrical I-V cur...