Convex semi-infinite programming: implicit optimality criterion based on the concept of immobile points

The paper deals with convex Semi-In¯nite Programming (SIP) problems. A new concept of immobility order is introduced and an algorithm of determination of the immobility orders (DIO algorithm) and so called immobile points is suggested. It is shown that in the presence of the immobile points SIP problems do not satisfy the Slater condition. Given convex SIP problem, we determine all its immobile points and use them to formulate a Nonlinear Programming (NLP) problem in a special form. It is proved that optimality conditions for the (in¯nite) SIP problem can be formulated in terms of the analogous conditions for the corresponding (¯nite) NLP problem. The main result of the paper is the Implicit Optimality Criterion that permits to obtain new e±cient optimality conditions for the convex SIP problems (even not satisfying the Slater condition) using the known results of the optimality theory of NLP

Historical Retrospective Review of Idea of University: Complementarily of Reason and Spirituality

Background: In the paper the Idea of the University and its transformations throughout the history are analysed. The content of the Idea of the University was based on understanding of spirituality when the man is upcoming to enlightening. Religion, philosophy, and education get together, when spirituality is defined as the categories and personal characteristics of a human. According to philosophy, spirituality is a non-physical way of a human being, which was granted to him as the ability of self-education. Religion understands spirituality as invariant of enlightening. The scientific-methodical apparatus of education was created to realize the potential ways for raising a person to enlightening in secular or religious schools. The spiritual aura was constantly presented at the University. Methods: A general philosophical approach and comparative historical method were used in the research. Results: Understanding the role of spirituality in the University education was absolutely manifested. The University was based on the idea of going up from individual towards the Universal Truth and Absolute Spirit. Knowledge and Truth are ideological categories of the University. Truth contained the spirituality and rational knowledge in the unity. Conclusions: The University has not lost its Idea throughout the history. The basic conclusion of the paper is that its Idea as well as its essence is the change of its criteria in response to the new historical reality

Проблемы и перспективы криминалистического исследования следов дактилоскопического происхождения

Проаналізовано сучасний стан проблем дослідження слідів дактилоскопічного походження. Визначено основні проблеми виявлення, фіксації та упакування слідів рук, які обумовлюються як об’єктивними, так і суб’єктивними чинниками. Надано пропозиції щодо вирішення проблем дослідження слідів дактилоскопічного походження. Виділено перспективні напрямки роботи зі слідами рук. Зазначено, що одними з пріоритетних напрямків роботи правоохоронних органів та Експертної служби мають бути цілеспрямоване розроблення й упровадження перспективних методів роботи зі слідами дактилоскопічного походження.The current state of problems of examining traces of dactyloscopic origin has been analyzed. It has been determined that the perspective of forensic examination of dactyloscopic origin’s traces depends on the correct work with such traces at the crime scene. It has been noted that one should follow general and special recommendations in order to ensure further quality expert examination and identification of the person by handprints during the crime scene search. The main problems of detection, fixation and packing the handprints, which are due to objective and subjective reasons: intensive and stressful work at the crime scene, inadequate forensic provision of law enforcement agencies, lack of staff, low qualification of forensic inspectors, negligence in the performance of official duties by authorized persons. Two ways of obtaining handprints have been identified: during the crime scene search and during dactyloscopic registration of persons. Suggestions for solving problems of examining the traces of dactyloscopic origin have been provided. It has been proved that they should be solved comprehensively at the national level: by improving the logistics of law enforcement agencies, improving the quality of training of highly qualified personnel for forensic investigation units, improving the procedure for introducing the latest advances in science and technology into expert and forensic activities. The author has distinguished the perspective areas of work with handprints. It has been noted that one of the priority areas of work of law enforcement agencies and the Expert Service should be the purposeful development and implementation of perspective methods of work with traces of dactyloscopic origin.Проанализировано современное состояние проблем исследования следов дактилоскопического происхождения. Определены основные проблемы выявления, фиксации и изьятия следов рук, которые обусловливаются как объективными, так и субъективными факторами. Даны предложения по решению проблем исследования следов дактилоскопического происхождения. Выделены перспективные направления работы со следами рук. Отмечено, что одними из приоритетных направлений работы правоохранительных органов и Экспертной службы должны быть целенаправленная разработка и внедрение перспективных методов работы со следами дактилоскопического происхождения

LiGaSe2 optical parametric oscillator pumped by a Q-switched Nd:YAG laser

Optical parametric oscillation is demonstrated for the first time with the chalcogenide nonlinear crystal LiGaSe2 pumped by a nanosecond Nd:YAG laser. Angle tuning provides coverage of the 4.8–9.9 μm spectral range in the mid-IR by idler pulses

Immobile indices and CQ-free optimality criteria for linear copositive programming problems

We consider problems of linear copositive programming where feasible sets consist of vectors for which the quadratic forms induced by the corresponding linear matrix combinations are nonnegative over the nonnegative orthant. Given a linear copositive problem, we define immobile indices of its constraints and a normalized immobile index set. We prove that the normalized immobile index set is either empty or can be represented as a union of a finite number of convex closed bounded polyhedra. We show that the study of the structure of this set and the connected properties of the feasible set permits to obtain new optimality criteria for copositive problems. These criteria do not require the fulfillment of any additional conditions (constraint qualifications or other). An illustrative example shows that the optimality conditions formulated in the paper permit to detect the optimality of feasible solutions for which the known sufficient optimality conditions are not able to do this. We apply the approach based on the notion of immobile indices to obtain new formulations of regularized primal and dual problems which are explicit and guarantee strong duality.publishe

Molecular epidemiology of serogroup a meningitis in Moscow, 1969 to 1997.

Molecular analysis of 103 serogroup A Neisseria meningitidis strains isolated in Moscow from 1969 to 1997 showed that four independent clonal groupings were responsible for successive waves of meningococcal disease. An epidemic from 1969 to the mid-1970s was caused by genocloud 2 of subgroup III, possibly imported from China. Subsequent endemic disease through the early 1990s was caused by subgroup X and then by subgroup VI, which has also caused endemic disease elsewhere in eastern Europe. A 1996 epidemic was part of the pandemic spread from Asia of genocloud 8 of subgroup III. Recent genocloud 8 epidemic disease in Moscow may represent an early warning for spread of these bacteria to other countries in Europe

Особливості архітектурної побудови систем формування тривимірних зображень

У сучасних умовах комп’ютерна графіка стрімко розвивається, оскільки забезпечує високий рівень інформативності, відтворює найвагоміші аспекти процесу або явища. Найбільшу реалістичність забезпечує тривимірна графіка, основана на роботі з просторовими моделями об’єктів, що обумовлює її широке використання в багатьох галузях, пов’язаних з комп’ютерним моделюванням та проектуванням

Tropomodulin isoforms regulate thin filament pointed-end capping and skeletal muscle physiology

In skeletal muscle fibers, tropomodulin 1 (Tmod1) can be compensated for, structurally but not functionally, by Tmod3 and -4