This paper deals with the foundations of analytical dynamics. It obtains the explicit equations of motion for mechanical systems that are subjected to non-ideal holonomic and nonholonomic equality constraints. It provides an easy incorporation of such non-ideal constraints into the framework of Lagrangian dynamics. It bases its approach on a fundamental principle that includes non-ideal constra...

Abstract The computational cost of constructing 3D magnetohydrodynamic (MHD) equilibria is one the limiting factors in stellarator research and design. Although data-driven approaches have been proposed to provide fast MHD equilibria, accuracy with which equilibrium properties are reconstructed unknown. In this work, we describe an artificial neural network (NN) that quickly approximates ideal-...

We present the RUPTURA code (https://github.com/iraspa/ruptura) as a free and open-source software package (MIT license) for (1) simulation of gas adsorption breakthrough curves, (2) mixture prediction using methods like Ideal Adsorption Solution Theory (IAST), segregated-IAST explicit isotherm models, (3) fitting models on computed or measured data. The combination with RASPA enables computati...

A Turaev–Viro invariant is a state sum, i.e., a polynomial that can be read off from a special spine or a triangulation of a compact 3-manifold. If the polynomial is evaluated at the solution of a certain system of polynomial equations (Biedenharn–Elliott equations) then the result is a homeomorphism invariant of the manifold (" numerical Turaev-Viro invariant "). The equation system defines an...

this paper proposes a method for ranking decision making units (dmus) using some of the multiple criteria decision making / multiple attribute decision making          (mcdm /madm) techniques, namely, interval analytic hierarchy process (iahp)          and the technique for order preference by similarity to an ideal solution (topsis).          since the efficiency score of unity is assigned to ...