In this work, we present a new Bishop frame for the conjugate curve of in 3-dimensional Lie group G3. With help frame, derive parametric representation sweeping surface and show that curves on are curvature lines. We then examine local singularities convexity establish sufficient necessary conditions it to be developable ruled surface. Additionally, provide detailed explanations examples its ap...

In the second half of 19th century, Siacci investigated motion a particle in space under influence any forces (Atti R Accad Sci. Torino \textbf{14}(1879)). this study, obtained resolution acceleration vector which is very useful when angular momentum conserved. On other hand, Bishop introduced frame well defined for every curves and so convenient mathematical researches third quarter 20th centu...

We defend pluralism in mathematics, and in particular Errett Bishop's constructive approach to mathematics, on pragmatic grounds, avoiding the philosophical issues which have dissuaded many mathematicians from taking it seriously. We also explain the computational value of interval arithmetic.

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...

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.