− We provide a reformulation of Cocke−Younger−Kasami’s algorithm for recognizing context-free languages in which there are no references either to indices of table entries or to the length of the input string. Some top-down analogues of this functional approach are discussed as well.

This paper continues the functional approach to the P-versus-NP problem, begun in [1]. Here we focus on the monoid RM 2 of right-ideal morphisms of the free monoid, that have polynomial input balance and polynomial time-complexity. We construct a machine model for the functions in RM 2 , and evaluation functions. We prove that RM 2 is not finitely generated, and use this to show separation resu...

The optimized random phase approximation (ORPA) for classical liquids is re-examined in the framework of the generating functional approach to the integral equations. We show that the two main variants of the approximation correspond to the addition of the same correction to two di erent rst order approximations of the homogeneous liquid free energy. Furthermore, we show that it is possible to ...

in the present paper, the modal analysis on a full finite element model of an off-road vehicle. this vehicle was modeled in the catia software and then meshed in the hypermesh software. the free vibration analysis was conducted by the abaqus software. by applying an external displacement, the forced vibration analysis was also performed. as a result, natural frequencies and shape modes were ext...

We propose an approach to perform orbital-free density functional theory calculations in a nonperiodic setting using the finite-element method. We consider this a step towards constructing a seamless multi-scale approach for studying defects like vacancies, dislocations and cracks that require quantum mechanical resolution at the core and are sensitive to long range continuum stresses. In this ...