Lie symmetries of the Shigesada-Kawasaki-Teramoto system

The Shigesada-Kawasaki-Teramoto system, which consists of two reaction-diffusion equations with variable cross-diffusion and quadratic nonlinearities, is considered. The system is the most important case of the biologically motivated model proposed by Shigesada et al. A complete description of Lie symmetries for this system is derived. It is proved that the Shigesada-Kawasaki-Teramoto system admits a wide range of different Lie symmetries depending on coefficient values. In particular, the Lie symmetry operators with highly unusual structure are unveiled and applied for finding exact solutions of the relevant nonlinear system with cross-diffusion

Optimum earth re-entry corridors

Steepest ascent optimization procedure for reentry trajectory of manned aerospace vehicle

Особливості онтогенезу інтродукованих видів роду Lonicera L. у зв’язку з їх філогенезом

The dependence between the terms of vegetation's beginning of curly honeysuckle and a sum of temperatures above 0 °С and geographical latitude of natural zone of this variety, place of this variety in the system of the genus were discovered by means of investigations.Розглядаються деякі особливості онтогенезу інтродукованих витких жимолостей у зв’язку з їх філогенезом. Дослідженнями встановлена залежність між строками початку вегетації витких жимолостей, сумою температур вище 0°С і географічною широтою природного ареалу виду, місцем виду в системі роду

Особливості цвітіння і запилення витких жимолостей в умовах інтродукції

The findings of the investigation of florescence and pollination characteristics of introduced ramble honeysuckles in the introduction conditions are cited. The characteristics of the ramble honeysuckles' pollen, the characteristics of the pollen germination depending on the composition of nutrient medium, the correlation of the pollen fertility to the flowering stage of the ramble honeysuckles are established.Наведено результати досліджень з вивчення особливостей цвітіння і запилення витких жимолостей в умовах інтродукції. Встановлено морфологічні особливості пилку та його життєздатність залежно від складу живильного середовища, а також залежність фертильності пилку від фаз цвітіння

Сезонний ритм розвитку інтродукованих жимолостей у дендропарку “Софіївка” НАН України

Peculiarities of seasonal rhythm of evolution of curly honeysuckles introduced in the dendropark Sofiivka are considered. Dependence between the periods of relative rest, correlation of duration of certain rest phases and geographical latitude of natural areas of curly honeysuckles has been determined.Розглянуто особливості сезонного ритму розвитку інтродукованих жимолостей у дендропарку “Софіївка” НАН України. Встановлено залежність між тривалістю відносного спокою, співвідношенням тривалості окремих фаз спокою та географічною широтою природних ареалів витких жимолостей

Local Public Finances in the Context of the Finance Law Subject

Współczesne prawo finansowe podlega ciągłym procesom rozwoju. Jednym z jego czynników jest coraz większy udział samorządów lokalnych w pozyskiwaniu i dystrybucji środków finansowych. Niniejszy artykuł został poświęcony teoretycznym i praktycznym problemom dotyczącym przepisów regulujących finanse publiczne na Ukrainie. Autorka analizuje m.in. definicję finansów publicznych, ich miejsce w prawie finansowym oraz podnosi problemy finansów lokalnych.The University of Management and Law (Ukraine

The Use Of Probabilistic Multiphase Flow Equations In The Study Of The Hydrodynamics And Heat Transfer In Gas-solids Suspensions

This thesis represents the initial step in a more rigorous approach to the study of the hydrodynamic and heat transfer behaviour of gas-solids suspension flows. General Probabilistic Multiphase flow equa- tions were developed and used as the basis for analyzing pressure drops and pipe wall to suspension heat transfer coefficients meas- ured in dilute, vertical, fully developed suspension flows. Hydrody- namic experiments were carried out with sand ((\u27)d(,p) = 172, 249 (mu)m) and glass bead ((\u27)d(,p) = 65 (mu)m) suspensions in a 12 m high, 20 mm ID transport line installation designed to allow pressure drops, solids and gas flowrates and mean solids concentrations to be measured. Heat transfer experiments were carried out with 249 (mu)m sand suspen- sions in the same installation with a modified test section. A thinned-walled stainless steel pipe was heated electrically in order to provide a constant heat flux from the test section wall to the suspension flowing inside.;The general equation analysis showed pressure drops in dilute vertical suspension flows to be dependent on particle-wall coeffi- cients of restitution and the local solids concentration and velocity in the vicinity of the pipe wall. The lack of information available on solids concentration and velocity profiles prevented the develop- ment of a final pressure drop expression in terms of mean values, averaged across the pipe cross-section. The hydrodynamic results did nevertheless suggest that reduced concentration and velocity profiles were independent of the mean solids concentration in dilute flows. This conclusion and an asymptotic analysis of the energy equations allowed the development of a general expression for the variation of fully developed heat transfer coefficients as a function of loading ratio. Heat transfer coefficient ratios were predicted to either increase, decrease, or pass through a minimum and then increase depending on the relative magnitudes of three coefficients which are fully determined by the hydrodynamics of the system. The general predicted variation was confirmed experimentally and numerical values of the hydrodynamic coefficients were determined

Technical development of an electromechanical braille labeler

Thesis (S.B.)--Massachusetts Institute of Technology, Dept. of Mechanical Engineering, 2009.Cataloged from PDF version of thesis.Includes bibliographical references (p. 36-37).The work presented in this thesis concerns the development of an electromechanical device that prints labels in braille. For blind and visually impaired people, differentiating between similarly-shaped objects - CDs, medication bottles, food cans, etc. - is a challenge that can be solved by affixing braille labels to the surface of these items. However, the existing technology for making braille labels is either fully manual and slow, or too large to be portable. As a result of this identified need, the first prototype of a braille labeler was developed in the fall of 2008. However, several outstanding mechanical and design issues remained. During this thesis, the first prototype was tested with focus groups to identify these issues. These included the lack of a cutting mechanism for the tape, the uncomfortable shape and size of the device, and the ease of manufacturing of some components. A second prototype was designed and built, resolving these problems.by Adelaide S. Calbry-Muzyka.S.B