in this article, an analytical solution is developed to study the free vibration analysis offunctionally graded rectangular nanoplates. the governing equations of motion are derived basedon second order shear deformation theory using nonlocal elasticity theory. it is assumed that thematerial properties of nanoplate vary through the thickness according to the power lawdistribution. our numerical...

free vibration analysis of higher-order shear deformation beam resting on one- and two-parameter elasticfoundation is studied using differential transform method (dtm) as a part of a calculation procedure. first,the governing differential equations of beam are derived in a general form considering the shear-freeboundary conditions (zero shear stress conditions at the top and bottom of a beam). ...

An algebraic linear ordering is a component of the initial solution of a first-order recursion scheme over the continuous categorical algebra of countable linear orderings equipped with the sum operation and the constant 1. Due to a general Mezei-Wright type result, algebraic linear orderings are exactly those isomorphic to the linear ordering of the leaves of an algebraic tree. Moreover, using...

Floyd’s Operator Precedence (OP) languages are a deterministic context-free family having many desirable properties. They are locally and parallely parsable, and languages having a compatible structure are closed under Boolean operations, concatenation and star; they properly include the family of Visibly Pushdown (or Input Driven) languages. OP languages are based on three relations between an...

We represent a protein's structure by its contact map. Our aim is to identify the unknown fold of a known sequence by minimizing a (free) energy deened in the space of contact maps. To this end we developed an eecient method to search this space and to generate low energy maps that are also physical. We proved that the standard pairwise approximation to the free energy is unable to stabilize th...

ASTI is an Arabic-speaking spoken language understanding (SLU) system which carries out two kinds of analysis which are relatively opposed. It is designed for touristic field to tell trippers about something that interests them. Based on a dual approach, the system adapts the idea of stochastic approach to the probabilistic context free grammar (PCFG) (approach based on rules). This paper provi...

We show that it is possible to e ciently enumerate the words of a regular language in lexicographic order. The time needed for generating the next word is O(n) when enumerating words of length n. We also de ne a class of context-free languages for which e cient enumeration is possible.

Aggregation of stiff polyelectrolytes in solution and angleand distance-dependent potential of mean force between two like-charged rods are studied in the presence of 3-valent salt using molecular dynamics simulations. In the bulk solution, formation of long-lived metastable structures with similarities to the raft-like structures of actin filaments is observed within a range of salt concentrat...

We consider context-free languages equipped with the lexico-graphic ordering. We show that when the lexicographic ordering of a context-free language is scattered, then its Hausdorff rank is less than ω ω. As a corollary of this result we obtain that an ordinal is the order type of a well-ordered context-free language iff it is less than ω ω ω .

We review models for the nucleation of magnetisation reversal, i.e. the formation of a region of reversed magnetisation in an initially magnetically saturated system. For small particles models for collective reversal, either uniform (Stoner-Wohlfarth model) or non-uniform like curling give good agreement between theory and experiment. For microscopic objects and thin films, we consider two mod...