in recent years, it has become increasingly important to incorporate explicit dynamics in economic analysis. these two tools that mathematicians have developed, differential equations and optimal control theory, are probably the most basic for economists to analyze dynamic problems. in this paper i will consider the linear differential equations on the plane (phase diagram) and elements of nonl...

Techniques are described for growing single crystals ofthe transition metal dichalcogenide compounds Nb1 — ~Ta~Se2(0 ~ x ~ 0.20). Both iodine and selenium vapor transport have been used. A portion of the phase diagram has been determined, in order to produce the desired 2H polymorpoh for all compositions of interest. Measurement of the superconducting transition temperature is shown to be a use...

We study the dynamics of a growing semiflexible fiber approaching a membrane at an angle. At late times we find three regimes: fiber stalling, when growth stops, runaway, in which the fiber bends away from the membrane, and another regime in which spicules form. We discuss which regions of the resulting "phase diagram" are explored by (i) single and bundled actin fibers in living cells, (ii) si...

We give an extension of the famous Schensted correspondence to the case of ribbon tableaux, where ribbons are allowed to be of different sizes. This is done by extending Fomin’s growth diagram approach of the classical correspondence, in particular by allowing signs in the enumeration. As an application, we give in particular a combinatorial proof, based on the Murnaghan–Nakayama rule, for the ...

A completely new crystal-growth device has been developed that permits charting a course across the phase diagram to produce crystalline samples optimized for diffraction experiments. The utility of the device is demonstrated for the production of crystals for the traditional X-ray diffraction data-collection experiment, of microcrystals optimal for data-collection experiments at a modern micro...

In this work, efficient solar-blind metal-semiconductor photodetectors grown on Si (111) by molecular beam epitaxy are reported. Growth details are described,the comparison enters the properties electric of InN/Si and AlGaN/Si photodectors with 0.2 μm of AlGaN and InN layers. Modeling and simulation were performed by using ATLAS-TCAD simulator. Energy band diagram, doping profile, conduction cu...

superplastic materials show huge amount of deformation in low strain rates and temperature above half of melting point. in superplastic forming, estimating the pressure–time diagram and thickness distribution has significant importance. utilizing numerical methods, the involved parameters in superplastic forming can be optimized for such estimations. in the present paper, the simulation of supe...