Involutive orbits of non-Noether symmetry groups

We consider set of functions on Poisson manifold related by continues one-parameter group of transformations. Class of vector fields that produce involutive families of functions is investigated and relationship between these vector fields and non-Noether symmetries of Hamiltonian dynamical systems is outlined. Theory is illustrated with sample models: modified Boussinesq system and Broer-Kaup system.Comment: LaTeX 2e, 10 pages, no figure

Differential Calculi on Associative Algebras and Integrable Systems

After an introduction to some aspects of bidifferential calculus on associative algebras, we focus on the notion of a "symmetry" of a generalized zero curvature equation and derive Backlund and (forward, backward and binary) Darboux transformations from it. We also recall a matrix version of the binary Darboux transformation and, inspired by the so-called Cauchy matrix approach, present an infinite system of equations solved by it. Finally, we sketch recent work on a deformation of the matrix binary Darboux transformation in bidifferential calculus, leading to a treatment of integrable equations with sources.Comment: 19 pages, to appear in "Algebraic Structures and Applications", S. Silvestrov et al (eds.), Springer Proceedings in Mathematics & Statistics, 202

Получение экологически чистого активного угля из вторичного сырья ореховых культур и перспективы его применения

შესწავლილია კაკლოვანი კულტურების მეორადი ნედლეულიდან მიღებული აქტიური ნახშირების ფიზიკურ-ქიმიური თვისებები. დადგენილია, რომ საცდელ დანადგარზე ამ კულტურების მეორადი ნედლეულიდან მიღებული აქტიური ნახშრების ფიზიკური მახასიათებლები და ადსორბციული სიდიდეები მაქსიმალური აქტივაციის დროს უტოლდება ლიტერატურიდან ცნობილ საუკეთესო აქტიური ნახშირების თვისებებს. შესწავლილია კაკლოვანი კულტურების მოსავლიანობის ცვლილების ტენდენცია საქართველოში. ამ კულტურების მეორადი ნედლეული ყოველწლიურად გროვდება შესაბამის გადამამუშავებელი ქარხნების სასაწყობო მეურნეობებში და წარმოადგენეს საუკეთესო საწყის ნედლეულს ეკოლოგიურად სუფთა აქტიური ნახშირის წარმოებისათვის. ცხრ.3,ილ..2,ლიტ.დას.4.We have studied physical-chemical properties of active coals received from secondary raw materials from walnut cultures. It has been stated that physical and adsorption properties of active coals received from experimental equipment at a maximum activation are high and equal those reported in literature. We have studied tendency of walnut cultures production in Georgia. It has been stated that various working firms stored yearly hazel and nutshells and from these secondary raw materials it is possible to receive such a valuable and useful product as active coal.Изучены физико-химические свойства активного угля, полученного из вторичного сырья ореховых культур. Установлено, что физические характеристики и адсорбционные свойства активного угля, полученного из вторичного сырья на экспериментальной установке, при максимальной активации, характеризуется высокой адсорбционной способностью и соответствует лучшим адсорбентным свойствам угля известным по литературе. Изучена тенденция урожайности ореховых культур в Грузии и установлено, что ежегодно в соответствующих фирмах накапливается вторичное сырье ореховых культур, которое представляет собой ценный ресурс для получения активного угля

Erratum: Why Do the Clients of Georgian Needle Exchange Programmes Inject Buprenorphine?

<i>Aim:</i> The aim of the study was to understand the prevalence and patterns of the non-medical injecting use of buprenorphine among drug injectors in Georgia. <i>Method:</i> A self-administered questionnaire was distributed among injecting drug users enrolled in Georgian needle exchange programmes. The questions covered topics related to drug use career, patterns (frequency, history, dosage) and reasons for the use of buprenorphine. <i>Results:</i> Pharmaceutical buprenorphine in the form of Subutex® was the most commonly injected drug in terms of lifetime (95.5%) and last-month (75%) prevalence of use. 48% of those study participants who had injected Subutex at some point reported having used it to cope with withdrawal or to give up other opioids. 90.5% of Subutex injectors used 1–2 mg as a single dose, and the mean frequency of its injection was 6 times per month. 75% of Subutex injectors had used 3 or more types of illegal drugs during the last 30 days. <i>Conclusion:</i> While widely misused by Georgian drug injectors, Subutex is neither the principal nor the favourite drug, and it is rather used as self-treatment. The authors consider the introduction of buprenorphine maintenance treatment to be a promising effective measure to decrease its non-medical and illegal use