Dispersed domains in two-dimensional two-phase systems often exhibit complex and intriguing morphologies. For many of these systems, it is possible to predict the shape of such a domain through an evaluation of the free energy. In this paper, we extend our previous numerical technique for calculating domain shapes by allowing for titled dipoles; the original technique assumed dipole moments ori...

Every language recognized by the Lambek calculus with brackets is context-free. This is shown by combining an observation by Jäger with an entirely straightforward adaptation of the method Pentus used for the original Lambek calculus. The case of the variant of the calculus allowing sequents with empty antecedents is slightly more complicated, requiring a restricted use of the multiplicative unit.

A study on structural properties of regular and context-free languages has promoted our basic understandings of the complex behaviors of those languages. We continue the study to examine how regular languages behave when they are “almost halving” numerous infinite languages. In particular, we are focused on a situation in which a regular language “dissects” a target infinite language into two i...

the the main objective of this research paper is to present 3-d elasticity solution for free vibration analysis of elastically supported continuously graded carbon nanotube-reinforced (cgcntr) annular plates. the volume fractions of oriented, straight single-walled carbon nanotubes (swcnts) are assumed to be graded in the thickness direction. an equivalent continuum model based on the eshelby-m...

polymerization of styrene in presence of two monofunctional initiators is studied kinetically in an ampoule scale. polymerizations were ceased at different conversions for each ampoule while the temperature was increased almost linearly during the reaction. three different initiator mixtures were used. the first mixtures were composed of benzoil peroxide (bpo) and t-butyl perbenzoate (tbpb) wit...