The present paper deals with some characterizations of rectifying and osculating curves on a smooth surface respect to the reference frame {T?,N?,T?×N?}. We have computed components position vectors along T?,N?,T?×N? then investigated their invariancy under isometry surfaces, it is shown that they are invariant iff either normal curvature curve or vector in direction tangent curve.

5-Methoxy-N,N,-dimethyltryptamine (5-MeO-DMT), an abused serotonergic indolealkylamine drug, was placed into Schedule I controlled substance status in the United States as of January 19, 2011. In previous studies, we have shown the impact of monoamine oxidase A and cytochrome P450 2D6 enzymes on 5-MeO-DMT metabolism and pharmacokinetics. The aim of this study was to investigate 5-MeO-DMT pharma...

A telescopic curve is a certain algebraic curve defined by m − 1 equations in the affine space of dimension m, which can be a hyperelliptic curve and an (n, s) curve as a special case. We extend the addition formulae for sigma functions of (n, s) curves to those of telescopic curves. The expression of the prime form in terms of the derivative of the sigma function is also given.

of m points while providing the user a high level of control over the frequency content of the resulting curve. Specifically, the algorithm views the tangential angle of the curve as a function of the arc-length, filters it as such, and adds a small analytic perturbation so that the curve passes through the input data. If the number of nodes in the initial discretization is n, the entire scheme...

of m points while providing the user a high level of control over the frequency content of the resulting curve. Specifically, the algorithm views the tangential angle of the curve as a function of the arc-length, filters it as such, and adds a small analytic perturbation so that the curve passes through the input data. If the number of nodes in the initial discretization is n, the entire scheme...