In this paper, we consider the singularities and geometrical properties of timelike developable surfaces with Bishop frame in Minkowski 3-space. Taking advantage singularity theory, give classification generic these surfaces. Furthermore, an example application is given to illustrate applications results.

We compare experimental melting curves of short heterogeneous DNA oligomers with theoretical curves derived from statistical mechanics. Partition functions are computed with the one-dimensional Peyrard-Bishop (PB) Hamiltonian, already used in the study of the melting of long DNA chains. Working with short chains we take into account, in the computations, not only the breaking of the interstrand...

This study consists of four sections. In the first section, objective and background are given. Second section is devoted to basic definitions theorems related 3-dimensional Euclidean spaces. Bertrand-B curve definition given subject was mentioned. third chapter common isoasymptotic surface families were examine, so we obtain necessary sufficient condition for a (with Bishop 2-frame) such that ...

abstract objective: mindfulness is a part of mind-body medicine to increase the quality of life in patients with chronic diseases like diabetes. regarding the importance of quality of life in patients with diabetes, and the role of training on its improvement, this study was done to evaluate the effectiveness of group training of mindfulness on quality of life in type 2diabeticpatients. materia...