28 research outputs found
Extremal problems for the generalized heat equation and optimal recovery of its solution from inaccurate data
No full text
Linear best method for recovering the second derivatives of Hardy class functions
No full textThe linear best method for approximating the second derivatives of Hardy class functions defined in the unit circle at zero in accordance with the information about their values in a finite number of points forming a regular polygon is found. The paper is divided into three sections. The first contains the necessary concepts and results from the work of K.Yu. Osipenko. It also recalls some results obtained by S. Ya. Havinson and other authors. In the second section, the error of the best method is calculated, and the corresponding extremal functions are written out. The third proves that the linear best approximation method is unique, and its coefficients are calculated
Ismagilov Type Theorems for Linear, Gel′fand and Bernstein n-Widths
No full textAbstractUsing a variational principle for s-numbers, we obtain estimates for the linear, Gel′fand. and Bernstein n-widths. A simple proof of some results concerned with the exact values of n-widths of diagonal operators is given. We also calculate the exact values at the Bernstein n-widths for the Hardy-Sobolev classes
On some problems of optimal recovery of analytic and harmonic functions from inaccurate data
No full textAbstractWe consider some problems of optimal recovery of holomorphic and harmonic functions in the unit disc. We obtain extensions of Schwartz's Lemma and optimal formulas for numerical differentiation
Optimal recovery of solutions of the generalized heat equation in the unit ball from inaccurate data
No full textAbstractWe consider the problem of optimal recovery of solutions of the generalized heat equation in the unit ball. Information is given at two time instances, but inaccurate. The solution is to be constructed at some intermediate time. We provide the optimal error and present an algorithm which achieves this error level
The meaning of handicrafts of children aged 4 to 5 in development of the fine motor skills
No full textDarba temats: Rokdarbu nozīme 4 - 5 gadus vecu bērnu sīkās motorikas attīstībā. Balstoties uz aktualitātēm izglītībā, personisko pieredzi, tika izvēlēts Pētījuma mērķis: Pētīt rokdarbu nozīmi sīkās motorikas apguvē 4 – 5 gadus veciem bērniem. Darbs sastāv no trijām nodaļām ar apakšnodaļām. Darbā tika analizētas pedagogu un psihologu atziņas par sīkās pirkstu muskulatūras attīstību vidējā pirmsskolas vecumā. Tāpat tika skatīts jautājums par 4 – 5 gadus vecu bērnu psiholoģiskajām īpatnībām, attīstību. Tika izpētīti materiāli rokdarbu nodarbību plānošanai un izstrādātas rekomendācijas darbam ar 4 – 5 gadus veciem bērniem rokdarbu nodarbībās. Tika veikts pētījums. Pētījumā izmantotas daudzveidīgas metodes. Darba vadītāja ir mag. paed., lektore: Ineta Aizporiete Darbs balstās uz ārzemju (Gabbard C., Rodrigies L., Козырева E., Вавилова А.Jermakovas un c.), kā arī uz Latvijas pedagogu un psihologu (D.Lieģenieces, D.Dzinteres, Šternfeldes I, Vidneres M., Ozoliņas I., Aizporietes I., Volānes E., I.Šternfelde un c.) teorētiskajām atziņām par bērna sīkās pirkstu muskulatūras attīstību un rokdarbu nozīmi 4 – 5 gadus veca bērna personības izaugsmē. Praktiskajā daļā veikti pedagoģiskie novērojumi, skolotāju intervijas, iegūto rezultātu analīze. Kvalifikācijas darbs sastāv no trīs nodaļām, 43 lpp, 4 pielikumiem, 5 attēliem, 43 literatūras avotiem.The title of qualification paper is „ The meaning of handicrafts of children aged 4 to 5 in development of the fine motor skills.” The author of the paper is Santa Osipenko, a student of the part – time first level professional study programme „Preschool education teacher” within the Faculty of Pedagogy of Riga, University of Latvia. The supervisor: Mg.paed., lect. Ineta Aizporiete. The aim of the research paper: to research the importance of the fine motor skills education for children aged 4 to 5. The paper consists of two main parts: theoretical and practical part. The research consists of three divisions with subdivisions. During the research the information made by educators and psychologists about the fine motor skills development and psyshological characteristics of children aged 4 to 5. Materials about lessons of handicraft planning werw researched. Based on the research there were made recommendations for work with children aged 4 to 5 during handicrafts lessons. The research was made using different kinds of methods. The theoretical part is based on the theoretical findings of both the foreign (Gabbard C., Rodrigies L., Козырева E., Вавилова А. ) and the Latvian pedagogues and psychologists (V. Hibnere, V.Jonīte, D.Lieģiniece, D.Dzintere ,E. Volāne, I.Šternfelde) about the development of childrens. The practical part is based on pedagogical observations, interview of teachers and analysis of results. The qualification paper consists of 3 chapters, 43 pages, 5 illustrations, literature and information – latvian and english authors, russian authors - 43
Exodus Home – a halfway house for ex - convicts
No full textThesis proposes a new transitional facility between the prison and outside world. “Exodus Home” is a halfway house for ex - offenders and non - violent criminals, merged with educational facility for residents and ex-convicts.Complex ProjectsArchitectureArchitecture and The Built Environmen
Optimal recovery of derivatives of Hardy class functions
No full textThe paper considers the best linear method for approximating the values of derivatives of Hardy class functions in the unit circle at zero according to the information about the values of functions at a finite number of points z1,...,zn that form a regular polygon, and also the error of the best method is obtained. The introduction provides the necessary concepts and results from the papers of K.Yu. Osipenko. Some results of the studies of S.Ya. Khavinson and other authors are also mentioned here. The main section consists of two parts. In the first part of the second section, the research method is disclosed, namely, the error of the best method for approximating the derivatives at zero according to the information about the values of functions at the points z1,...,zn is calculated; the corresponding extremal function is written out. It is established that for p>1, the corresponding extremal function is unique up to a constant factor that is equal to one in modulus. For p=1, the corresponding extremal function is not unique. All such corresponding extremal functions are determined here. In the second part of the second section, it is proved that for all p (1≤p<∞), the best linear approximation method is unique, and the coefficients of the best linear recovery method are calculated. The expressions used to calculate the coefficients are greatly simplified. At the end of the paper, the obtained results are described, and possible areas for further research are indicated
Міфологіність поетичних образів у творчості Марка Стренда
No full textThe article studies the aspect of personification in the poetic works of Mark Strand. The main stylistic peculiarities of a poem are given, which are to render maximum accurately emotions of the author. Popova, O. Mythological Component of Poetic Images in the Works of Mark Strand [Text] / O. Popova, T. Osipenko, N. Prykhodko // East European Scientific Journal. – 2016 – Volume 1. – 2(6). P. 167–170.Стаття присвячена вивченню аспекту персоніфікації у поетичних творах Марка Стренда. Даються основні стилістичні особливості віршованого тексту, покликаного максимально точно передати емоційні переживання автора. Персоніфікація розглядається як основна категорія образності, що допомагає адресанту донести власну інтенцію. А вже апеляція автора до міфологічності є гарантом максимального увиразнення створюваного в поезії образу, адже іде використання не лише досвіду автора, а й залучення досвіду поколінь, націй, культур. Поетичний твір перетворюється на скарбницю знань, що увібрала в себе як об’єктивно існуюче, так і суб’єктивно, індивідуально осмислене, пережите.Статья посвящена изучению аспекта персонификации в поэтических произведениях Марка Стренда. Представлены основные стилистические особенности поэтического произведения, которое призвано максимально точно передать эмоции и переживания автора. Персонификация рассматривается как основная категория образности, что помогает передать адресанту собственную интенцию. Апелляция автора к мифичности является гарантом максимальной выразительности создаваемого в поэзии образа, поскольку используется не только опыт автора, но и опыт поколений, наций, культур. Поэтическое произведение превращается в кладезь знаний, который включает в себя как объективно существующее, так и субъективное, индивидуально осмысленное, пережитое.The article studies the aspect of personification in the poetic works of Mark Strand. The main stylistic peculiarities of a poem are given, which are to render maximum accurately emotions of the author. Personification is viewed as the main category of imagery that helps the addressant to render own intention. And in its turn, the author’s appeal to mythological component is a guarantee of maximum expressiveness of the poetic image, as not only the author’s experience is used, but also the experience of generations, nations and cultures. The poetic work turns into knowledge treasury of objective, subjective, individually comprehended and experienced life aspects
