Primitive Ideals and Symplectic Leaves of Quantum Matrices

It is proved that there exists a bijection between the primitive ideals of the algebra of regular functions on quantum m × n-matrices and the symplectic leaves of associated Poisson structure

A description of a system of programs for mathematically processing on unified series (YeS) computers photographic images of the Earth taken from spacecraft

A description of a batch of programs for the YeS-1040 computer combined into an automated system for processing photo (and video) images of the Earth's surface, taken from spacecraft, is presented. Individual programs with the detailed discussion of the algorithmic and programmatic facilities needed by the user are presented. The basic principles for assembling the system, and the control programs are included. The exchange format within whose framework the cataloging of any programs recommended for the system of processing will be activated in the future is displayed

Nuclear Quantum Effects in Water and Aqueous Systems: Experiment, Theory, and Current Challenges

Nuclear quantum effects influence the structure and dynamics of hydrogen-bonded systems, such as water, which impacts their observed properties with widely varying magnitudes. This review highlights the recent significant developments in the experiment, theory, and simulation of nuclear quantum effects in water. Novel experimental techniques, such as deep inelastic neutron scattering, now provide a detailed view of the role of nuclear quantum effects in water's properties. These have been combined with theoretical developments such as the introduction of the principle of competing quantum effects that allows the subtle interplay of water's quantum effects and their manifestation in experimental observables to be explained. We discuss how this principle has recently been used to explain the apparent dichotomy in water's isotope effects, which can range from very large to almost nonexistent depending on the property and conditions. We then review the latest major developments in simulation algorithms and theory that have enabled the efficient inclusion of nuclear quantum effects in molecular simulations, permitting their combination with on-the-fly evaluation of the potential energy surface using electronic structure theory. Finally, we identify current challenges and future opportunities in this area of research

Роль радионуклидной диагностики в комплексном обследовании ВИЧ-инфицированных пациентов с ишемической болезнью сердца

Cardiovascular disease is one of the most frequent cause of death globally. The greatest part is occupied by ischemic heart disease. HIV patients are composed to a higher risk of coronary heart disease.The purpose of this work is to evaluate the possibility of using molecular imaging methods in a comprehensive examination of patients with HIV infection and ischemic heart disease.Materials and methods. The survey group includes 32 patients with HIV infection. The comparison group consists of 25 age-matched patients with coronary heart disease and without HIV Infection. All patients were underwent myocardial perfusion scintigraphy using single photon emission computed tomography. Positron emission tomography with FDG were performed if necessary to assess the viability of the myocardium. The patients of the main group undergo diagnostic coronary angiography and standard set of laboratory and institutional diagnostic methods.Results. The results of which confirm the high efficiency of radionuclide diagnostic methods for detecting perfusion disorders, contractility and myocardial viability in patients with HIV infection even at an early stage. They can be recommended for using in a comprehensive examination of patients with HIV infection.Наиболее частой причиной смертности во всем мире являются сердечно-сосудистые заболевания, среди которых ведущее место занимает ишемическая болезнь сердца (ИБС). В группу с наиболее высоким риском развития ИБС входят пациенты с ВИЧ-инфекцией.Цель исследования: оценка возможности применения методов молекулярной визуализации в комплексном обследовании пациентов с ВИЧ-инфекцией и ИБС.Материал и методы. В группу обследования включено 32 пациента с ВИЧ-инфекцией, группу сравнения составили 25 сопоставимых по возрасту пациентов без ВИЧ-инфекции с ИБС. Всем пациентам проведена перфузионная сцинтиграфия миокарда (с помощью ОФЭКТ), ПЭТ/КТ сердца с ФДГ проводилась при необходимости оценки жизнеспособности миокарда в комплексе с диагностической коронароангиографией и стандартным набором лабораторно-инструментальных методов диагностики.Результаты. Полученные результаты подтверждают высокую эффективностью методов радионуклидной диагностики для выявления нарушений перфузии, сократимости и жизнеспособности миокарда у пациентов с ВИЧ-инфекцией даже на ранней стадии и могут быть рекомендованы к использованию в комплексном обследовании пациентов с ВИЧ-инфекцией

Predictive analysis of two bijectively related families of functions in L

This article proposes a method of function image prediction calculation by its preimage. This method is based on regression analysis of function image and preimage pairs in L2. The prediction model application procedure is described. The algorithm pseudocod are given