24 research outputs found
ABANDONED MINE WASTES (KEMEROVO REGION, RUSSIA): RESOURCES OF TOXIC AND VALUABLE COMPONENTS
No full textПедагогічні ідеали стародавнього світу очима професорів Київської духовної академії XIX - початку XX ст.
Get PDFУ статті здійснено спробу виявити методологічний підхід, який застосовували професори КДА Сильвестр Гогоцький, Памфіл Юркевич, Маркелін Олесницький, Микола Маккавейський, досліджуючи педагогічні ідеали культур давнього світу. З ’ясовано, що чинник формування педагогічних ідеалів вони вбачали у ментальній «життєвій настанові», увиразненій у певному типі релігійності, а норми виховання у давніх культурах оцінювали з точки зору християнства.In the paper made an attempt to reveal the methodology approach which Kyiv Theological Academy’s professors Silvestr Gogotskiy, Pamfd Yurkevich, Markelin Olesnitskiy, Nikolay Makkaveyskiy employed in their studies of educational ideals of the ancient world. I t ’s found out that they considered mental “vital attitude” which manifests its 1 elf in specified type of religiousness as premise of the forming of educational ideals, while norms of education in ancient cultures estimated in the light of Christianity
Diagonal Representation of Algebraic Power Series: A Glimpse Behind the Scenes
Get PDFThis work is based on the author’s master’s thesis (U. of Vienna, 2020), supervised by H. Hauser.International audienceThere are many viewpoints on algebraic power series, ranging from the abstract ring-theoretic notion of Henselization to the very explicit perspective as diagonals of certain rational functions. To be more explicit on the latter, Denef and Lipshitz proved in 1987 that any algebraic power series in n variables can be written as a diagonal of a rational power series in one variable more. Their proof uses a lot of involved theory and machinery which remains hidden to the reader in the original article. In the present work we shall take a glimpse on these tools by motivating while defining them and reproving most of their interesting parts. Moreover, in the last section we provide a new significant improvement on the Artin-Mazur lemma, proving the existence of a 2-dimensional code of algebraic power series
The art of algorithmic guessing in gfun
Get PDFInternational audienceThe technique of guessing can be very fruitful when dealing with sequences which arise in practice. This holds true especially when guessing is performed algorithmically and efficiently. One highly useful tool for this purpose is the package named gfun in the software Maple. In this text we explore and explain some of gfun's possibilities and illustrate them on two examples from recent mathematical research by the author and his collaborators
Engineering and Geophysical Research of the Tailing Dump under the Conditions of Growing Soils of the Base
No full textThe relevance of the work is due to the risks of an uncontrolled increase in circulating water leaks through sides and bed of the dam, caused by thawing of permafrost soils in the Far North. The main aim of the work is to scientifically substantiate a set of engineering measures to reduce filtration consumption and restore and maintain the waterproofing of the tailing dump. The object of the study was the tailing dump of the concentration plant, with adjoining filter walls. The tailing dump has been exploited since 1996; for the last 20 years, circulating water leaks into the shunting tank located below were recorded. Within the water area of the tailing dump and at the landfalls, geophysical surveys were carried out from ice by the TEM (transient electromagnetic) method. The obtained geoelectric sections made it possible to form a holistic view of the structure of the filtration zones in the right and left bank junctions. The data obtained will be used for planning anti-filtration arrangement
Early Taoist concept of Dao (way) and approaches of Russian sinologists to the interpretations of Dao de jing
No full textThe author compares the interpretations, which the leading Russian sinologists worked out for the concept of Dao (Way) in taoist treatise Dao de jing , shows how these interpretations are determined with the points of view on the text designation, philosophical world outlooks and methodological approaches as well, clears up similarities and distinctions between the approaches and the main trends of their evolution
Soviet Advisors Group in South China and Soviet Union Financing of Gomindan War Planes in 1924
No full textThe article dwells on the organization and activities of the Soviet advisors group, which assisted to the South China government of Sun Yatsen, its participation in financing Kuomintang political and military projects. The author pointed out that the main aim of the advisors group efforts was to form new Kuomintang power institutions and to bring its policy and army under control, for all that the tactics of implementation of strategy aim were constantly changing
Environmental assessment criteria of the Arctic area affected by the technological influence, taking into account the features of the regional background
No full textSuites entières, séries algébriques et opérateurs différentiels
No full textThis dissertation addresses mathematicaland algorithmic problems and questions connectedwith integer sequences, algebraic series anddifferential operators. It is mainly composed ofsome of the articles the author (co-)wrote during hisPhD studies. Explicitly, the thesis deals first with afamily of hypergeometric sequences which can berepresented as diagonals, the generating function ofthe Dubrovin-Yang-Zagier numbers, and a newformula for the reduced volume of any projection ofthe Clifford torus. Further, the dissertation presentsthree new algorithms solving the followingproblems more efficiently than previously possible:The computation of the N-th term of a q-holonomicsequence, the computation of the N-th power of apolynomial matrix, and the decision whether a givenpolyhedron has Rupert's property. Finally, the thesisalso answers the following three explicitly stated butpreviously open questions: Is the Fibonaccisequence (Fn)n≥0 a constant term sequence? (No),Does the q-analog of Pólya's Theorem hold? (Not ingeneral but for some q ∈ C), Does the Truncatedicosidodecahedron have Rupert's property? (Yes).The last chapter contains a list of 60 open questions,problems and conjectures related to the topic of thedissertation.More precisely, the second chapter of the thesis isdevoted to the study of diagonals of a family ofmultivariate algebraic functions. Explicitly, weprove that the diagonal of any finite product ofalgebraic functions of the form (1−x1−…−xn)^R,for R rational, is a generalized hypergeometricfunction, and we provide an explicit description ofits parameters. The particular case (1−x−y)^R/(1−x−y−z) corresponds to the main identity ofAbdelaziz, Koutschan and Maillard in [1, §3.2]. Thethird chapter deals with the task of proving that agiven D-finite function is algebraic. We exploresome of the known methods on the very explicitexample of two generating functions of the socalled Dubrovin-Yang-Zagier numbers. The nextchapter deals with the uniqueness of the solutionto the so-called Canham's problem which predictsthe shape of biomembranes. Chapter 5 firstextends Strassen's algorithm to the computationof the q-factorial of N, then Chudnovskys'algorithm to the computation of the N-th term ofany q-holonomic sequence. In chapter 6 we showthat it is possible to beat binary powering, by analgorithm whose complexity is purely linear in N,even in absence of FFT. The next chapter answersa question posed by Michael Aissen in 1979 aboutthe qanalogue of a classical theorem of GeorgePólya (1922) on the algebraicity of (generalized)diagonals of bivariate rational power series. Inchapter 8, we provide a classification of constantterms in the case of sequences satisfying linearrecurrences with constant coefficients. Chapter 9 isdevoted to Rupert's problem and, finally, chapteris a collection of open problems and conjecturesconnected to the thesis' topics.Cette thèse aborde des problèmes et desquestions mathématiques et algorithmiques liés auxsuites d'entiers, aux séries algébriques et auxopérateurs différentiels. Elle est principalementcomposée de certains des articles que l'auteur a (co-)écrit pendant ses études de doctorat. Explicitement,la thèse traite d'abord d'une famille de suiteshypergéométriques qui peuvent être représentéescomme des diagonales, de la fonction génératricedes nombres de Dubrovin-Yang-Zagier, et d'unenouvelle formule pour le volume réduit den'importe quelle projection du tore de Clifford. Enoutre, la thèse présente trois nouveaux algorithmesqui résolvent les problèmes suivants de manièreplus efficace qu'auparavant : le calcul du N-ièmeterme d'une suite q-holonome, le calcul de la Nième puissance d'une matrice polynomiale, et ladécision si un polyèdre donné a la propriété deRupert. Enfin, la thèse répond également aux troisquestions suivantes, explicitement énoncées maisprécédemment ouvertes : la suite de Fibonacci(Fn)n≥0 est-elle une suite de termes constants ?(Non), Le q-analogue du théorème de Pólya est-ilvrai ? (Pas en général mais pour certains q ∈ C),L'icosidodécaèdre tronqué a-t-il la propriété deRupert ? (Oui). Le dernier chapitre contient une listede 60 questions ouvertes, problèmes et conjecturesliés au sujet de la thèse.Dans le chapitre 8, nous fournissons uneclassification des termes constants dans le cas deséquences satisfaisant des récurrences linéaires àcoefficients constants. Le chapitre 9 est consacréau problème de Rupert et, finalement, le chapitreest une collection de problèmes ouverts et deconjectures liés aux sujets de la thèse. Plusprécisément, le deuxième chapitre de la thèse estconsacré à l'étude des diagonales d'une famille defonctions algébriques multivariées. Explicitement,nous prouvons que la diagonale de tout produitfini de fonctions algébriques de la forme (1-x1-...-xn)^R, pour R rationnel, est une fonctionhypergéométrique généralisée, et nousfournissons une description explicite de sesparamètres. Le cas particulier (1-x-y)^R/(1- x-y-z)correspond à l'identité principale d'Abdelaziz,Koutschan et Maillard dans [1, §3.2]. Le troisièmechapitre traite de la tâche consistant à prouverqu'une fonction D-finie donnée est algébrique.Nous explorons certaines des méthodes connuessur l'exemple très explicite de deux fonctionsgénératrices des nombres dits de Dubrovin-YangZagier. Le chapitre suivant traite de l'unicité de lasolution du problème dit de Canham qui prédit laforme des biomembranes. Le chapitre 5 étendd'abord l'algorithme de Strassen au calcul du qfactoriel de N, puis l'algorithme de Chudnovskysau calcul du N-ième terme de n'importe quelleséquence q-holonomique. Dans le chapitre 6,nous montrons qu'il est possible de battre lapuissance binaire, par un algorithme dont lacomplexité est purement linéaire en N, même enl'absence de FFT. Le chapitre suivant répond à unequestion posée par Michael Aissen en 1979 sur leqanalogue d'un théorème classique de GeorgePólya (1922) sur l'algébricité des diagonales(généralisées) des séries de puissancesrationnelles bivariées
