Dimension on Discrete Spaces

In this paper we develop some combinatorial models for continuous spaces. In this spirit we study the approximations of continuous spaces by graphs, molecular spaces and coordinate matrices. We define the dimension on a discrete space by means of axioms, and the axioms are based on an obvious geometrical background. This work presents some discrete models of n-dimensional Euclidean spaces, n-dimensional spheres, a torus and a projective plane. It explains how to construct new discrete spaces and describes in this connection several three-dimensional closed surfaces with some topological singularities It also analyzes the topology of (3+1)-spacetime. We are also discussing the question by R. Sorkin [19] about how to derive the system of simplicial complexes from a system of open covering of a topological space S.Comment: 16 pages, 8 figures, Latex. Figures are not included, available from the author upon request. Preprint SU-GP-93/1-1. To appear in "International Journal of Theoretical Physics

Phase transformation B1 to B2 in TiC, TiN, ZrC and ZrN under pressure

Phase stability of various phases of MX (M = Ti, Zr; X = C, N) at equilibrium and under pressure is examined based on first-principles calculations of the electronic and phonon structures. The results reveal that all B1 (NaCl-type) MX structures undergo a phase transition to the B2-structures under high pressure in agreement with the previous total-energy calculations. The B1-MX structures are dynamically stable under very high pressure (210-570 GPa). The pressure-induced B2 (CsCl-type) MC phases are dynamically unstable even at high pressures, and TiN and ZrN are found to crystallize with the B2-structure only at pressures above 55 GPa. The first-order B1-to-B2 phase transition in these nitrides is not related to the softening of phonon modes, and the dynamical instability of B2-MX is associated with a high density of states at the Fermi level.Comment: 9 pages, 4 figure

Загальна хімічна технологія : методичні вказівки до вивчення курсу. Ч. 3

Методичний посібник містить приклад розрахунку матеріального балансу печі для випалювання колчедану. Для студентів хімічного факультету (напрям підготовки: 6.051301 – “Хімічна технологія”) денної форми навчання

High-Resolution Three-Dimensional NMR Structure Of The KRAS Proto-Oncogene Promoter Reveals Key Features Of A G-Quadruplex Involved In Transcriptional Regulation

Non-canonical base pairing within guanine-rich DNA and RNA sequences can produce G-quartets, whose stacking leads to the formation of a G-quadruplex (G4). G4s can coexist with canonical duplex DNA in the human genome and have been suggested to suppress gene transcription, and much attention has therefore focused on studying G4s in promotor regions of disease-related genes. For example, the human KRAS proto-oncogene contains a nuclease-hypersensitive element located upstream of the major transcription start site. The KRAS nuclease-hypersensitive element (NHE) region contains a G-rich element (22RT; 5′-AGGGCGGTGTGGGAATAGGGAA-3′) and encompasses a Myc-associated zinc finger-binding site that regulates KRAS transcription. The NEH region therefore has been proposed as a target for new drugs that control KRAS transcription, which requires detailed knowledge of the NHE structure. In this study, we report a high-resolution NMR structure of the G-rich element within the KRAS NHE. We found that the G-rich element forms a parallel structure with three G-quartets connected by a four-nucleotide loop and two short one-nucleotide double-chain reversal loops. In addition, a thymine bulge is found between G8 and G9. The loops of different lengths and the presence of a bulge between the G-quartets are structural elements that potentially can be targeted by small chemical ligands that would further stabilize the structure and interfere or block transcriptional regulators such as Myc-associated zinc finger from accessing their binding sites on the KRAS promoter. In conclusion, our work suggests a possible new route for the development of anticancer agents that could suppress KRAS expression

Загальна хімічна технологія. Лабораторний практикум : методичні вказівки до вивчення курсу. Ч.1

Методичний посібник містить робочу програму курсу, методичні розробки чотирьох лабораторних робіт, що виконуються в першому семестрі. Для самоконтролю при підготовці до лабораторних занять подаються окремі теоретичні питання та ряд вправ для самостійного розв’язування. Для студентів хімічного факультету (напрям підготовки: 6.051301 – “Хімічна технологія”) денної форми навчання, викладачів та лаборантів, які проводять лабораторні й семінарські заняття

Загальна хімічна технологія. Лабораторний практикум : методичні вказівки до вивчення курсу. Ч. 2

Методичний посібник містить план лабораторного практикуму, методичні розробки лабораторних робіт, що виконуються в другому семестрі. Для самоконтролю при підготовці до лабораторних занять подаються окремі теоретичні питання та ряд вправ для самостійного розв’язування. Для студентів хімічного факультету (напрям підготовки: 6.051301 – “Хімічна технологія”) денної форми навчання, викладачів та лаборантів, які проводять лабораторні й семінарські заняття

Training as a method of future psychologists’ moral values development

The article has the definition of moral values and moral values development (besides for better understanding of this definition we have analysed such notions as morality, values, development, values development).We have examined fundamental moral values of future psychologists and we describe the methods of training as a way of moral values development.В статье дается определение таким понятиям, как моральные ценности и развитие моральных ценностей (кроме того, для лучшего понимания сути данных понятий мы рассмотрели такие понятия: мораль, ценности, развитие, ценностное развитие). Также коротко рассматриваются основные моральные ценности будущих психологов и описываются методы тренинга как способа развития моральных ценностей

Mechanism of Photoluminescence in Erbium-Doped Chalcogenide

The monograph describes the technique of the synthesis of glasses and the method of the growth of erbium-doped single crystals. The photoluminescence spectra of Ag0.05Ga0.05Ge0.95S2-Er2S3 glasses and glasses from the Ga2S3-La2S3-Er2S3 system have been investigated in the visible and near-infrared ranges. According to the energy transitions in the erbium ions, a radiation mechanism for conversion and up-conversion luminescence has been established. The role of structural ordering and the influence of defects on the radiation efficiency of Er3+ ions have been investigated. The spectra of photoluminescence of (Ga54.59In44.66Er0.75)2S300 and (Ga69.75La29.75Er0.5)2S300 single crystals have been studied. The efficiency of the radiation of the amorphous and crystalline materials has been compared. Also, the temperature dependence of the integral intensity of the radiation of glasses and single crystals has been studied. It is established that in a limited temperature range, these materials can be used for the manufacture of non-contact optical thermosensors