We present the proper orthogonal descriptors for efficient and accuracy representation of potential energy surface. The surface is represented as a many-body expansion parametrized potentials in which are functions atom positions parameters. Karhunen-Lo\`eve (KL) employed to decompose into set (PODs). Because rapid convergence KL expansion, relevant snapshots can be sampled exhaustively represe...

background: to determine the efficacy of different antiseptic solutions (control group (i), antibiotic solution (ii), chlorhexidine 0.4% (iii), and povidone – iodine 10% (iv)) in sterilizing contaminated osteochondral plugs. methods: under sterile conditions, the femoral head and condyles of 20 rabbits were removed and cut into equal osteochondral pieces. a total of 200 osteochondral specimens ...

In this paper, the efficient multi-step differential transform method (EMsDTM) is applied to get the accurate approximate solutions for strongly nonlinear duffing oscillator. The main improvement of EMsDTM which is to reduce the number of arithmetic operations, is thoroughly investigated and compared with the classic multi-step differential transform method (MsDTM). To illustrate the applicabil...

Background: Considering the carcinogenic effects of heavy metals, such as chromium, it is essential to remove these elements from water and wastewater. Direct osmosis is a new membrane technology, which can be a proper alternative to conventional chromium removal processes. Methods: The wastewater samples were collected from an electroplating unit, located in Alborz industrial city, Qazvin, Ir...

in this work, byemploying the leggett-williams fixed point theorem, we study theexistence of at least three positive solutions of boundary valueproblems for system of third-order ordinary differential equationswith $(p_1,p_2,ldots,p_n)$-laplacianbegin{eqnarray*}left { begin{array}{ll} (phi_{p_i}(u_i''(t)))'  +  a_i(t) f_i(t,u_1(t), u_2(t), ldots, u_n(t)) =0 hspace{1cm} 0  leq t leq 1, alpha_i u...

This paper proposes a compromise model, based on the technique for order preference through similarity ideal solution (TOPSIS) methodology, to solve the multi-objective large-scale linear programming (MOLSLP) problems with block angular structure involving fuzzy parameters. The problem involves fuzzy parameters in the objective functions and constraints. This compromise programming method is ba...