We consider the question “How much strong generative power can be squeezed out of a formal system without increasing its weak generative power?” and propose some theoretical and practical constraints on this problem. We then introduce a formalism which, under these constraints, maximally squeezes strong generative power out of context-free grammar. Finally, we generalize this result to formalis...

In this paper we complement our recent result on the explicit formula for the planar limit of the free energy of the two–matrix model by computing the second and third order observables of the model in terms of canonical structures of the underlying genus g spectral curve. In particular we provide explicit formulas for any three–loop correlator of the model. Some explicit examples are worked out.

0

graph theory based methods are powerful means for representing structural systems so that their geometry and topology can be understood clearly. the combination of graph theory based methods and some metaheuristics can offer effective solutions for complex engineering optimization problems. this paper presents a charged system search (css) algorithm for the free shape optimizations of thin-wall...

A cell-free system from Chlorella pyrenoidosa Chick (Emerson strain 3) which produces acid-volatile radioactivity from 35SO42is described. A high speed supernatant from cells broken in the French Press at pH 7.0 shows maximal activity when fortified with ATP, an ATP-generating system (creatine phosphate and creatine phosphokinase), TPN, a TPNreducing system (glucose-6-phosphate and glucose-6-ph...

A Drag-Free Control (DFC) system is a necessity for all future space-borne gravitational wave missions such as LISA, and similar technology is needed on other missions where high positional accuracy is required. The DFC system is needed to control the motion of the spacecraft that are required for the construction of a giant Michelson interferometer, which can be used to detect gravitational wa...