In this paper simple quartic trigonometric polynomial blending functions, with a tensionparameter, are presented. These type of functions are useful for constructing trigonometricB´ezier curves and surfaces, they can be applied to construct continuous shape preservinginterpolation spline curves with shape parameters. To better visualize objects and graphics atension parameter is included. In th...

In this paper, we define the curve at a constant distance from edge of regression on r(s) with arc length parameter s in Galilean 3-space. Here, d is non-isotropic or isotropic vector defined as tightly fastened to Frenet trihedron 3-dimensional space. We build frame constructed respect two types and indicate properties related curvatures . Also, for , give conditions be circular helix. Further...

Introduction: Effect of tripolar TENS of vertebral column on slow and fast motoneurons (MNs) activity of soleus muscle was previously investigated. In this study for better differentiation of the behavior of slow and fast MNs, we exploited H-reflex recovery curve recording in two muscles of soleus and lateral gastrocnemius, respectively as the representatives of slow and fast muscles. Meth...

Let E be an elliptic curve over ij. A celebrated theorem of Mordell asserts that E(ij) , the (abelian) group of rational points of E, is finitely generated. By the rank of E we mean the rank of E(ij). Thus the rank of E is positive if and only if E possesses an infinity of rational points. Relatively few general qualitative assertions can be made about the rank as E varies. How large can the ra...

In this paper we review the notions of gonality and Clifford index of an abstract curve. For a curve embedded in a projective space, we investigate the connection between the Clifford index of the curve and the geometrical properties of its embedding. In particular if C is a curve of degree d in P 3 , and if L is a multisecant of maximum order k , then the pencil of planes through L cuts out a ...

We develop a modification of the Zariski–van Kampen approach for the computation of the fundamental group of a trigonal curve with improper fibers. As an application, we list the deformation families and compute the fundamental groups of all irreducible maximizing simple sextics with a type D singular point.