Liquid Crystals A new class of cholesteric phase with local polar order is realized by Fumito Araoka and Hiroya Nishikawa in article number 2101305. In general, the periodicity conventional liquid crystal corresponds to half-pitch helix, having head-and-tail symmetry nematic director. On other hand, newly found characterized a full-pitch helix due degeneracy This delivers some unprecedented pro...

t. ikawa obtained an ordinary differential equation for the circular helix. recently, the helix havebeen investigated by many differential geometers such as t. ikawa, h. balgetir, m. bektas, m. ergut, n.ekmekci and h. h. hacısalihoglu. in this paper, making use of this author’s methods, we obtainedcharacterizations of helix for a curve with respect to the frenet frame in 3-dimensional galilean ...

From the view of differential geometry, a straight line is a geometric curve with the curvature κ(s) = 0. A plane curve is a family of geometric curves with torsion τ(s) = 0. Helix is a geometric curve with non-vanishing constant curvature κ and non-vanishing constant torsion τ [4]. The helix may be called a circular helix or W -curve [9]. It is known that straight line (κ(s) = 0) and circle (κ...

hedera helix  is widely used to treat bronchial asthma for many years. however, effects of this herb on lung histopathology is still far from clear. we aimed to determine the effect of oral administration of hedera helix on lung histopathology in a murine model of chronic asthma. balb/c  mice  were  divided  into  four  groups;   i  (placebo),  ii  (hedera  helix), iii (dexamethasone) and iv (c...

Introduction: Hedera helix is an evergreen plant used in treatment of wounds in the Iranian folk medicine. One of the main stages in wound healing process is, the proliferative phase in which fibroblasts proliferate within the wounds and produce extracellular matrix. Collagen is the main constituent of extracellular matrix. So the aim of this study was to evaluate the effect of Hedera helix alc...

In this work, we firstly introduce notions of principal directed curves and donor which are associated a Frenet curve in the dual Lorentzian space D 3 1 D13 . We give some relations between curvature torsion curve. show that general helix is plane obtain equation by using position vector Then circle $\mathbb{D}^{2}$ or hyperbola $\mathbb{D}_{1}^{2}$ slant $\mathbb{D}_{1}^{3}$ helix, respectivel...