scholarly journals Microbiology Specimen Examination Original Result

2020 ◽  
Author(s):  
Keyword(s):  
Original Result

Concept of education of a creative personality

2020 ◽  
pp. 50-55
Author(s):  
V.О. Moliako
Keyword(s):  
Enriched Environment ◽  
Reference Points ◽  
Creative Activity ◽  
Environmental Friendliness ◽  
Original Result ◽  
Creative Education ◽  
Creative Personality ◽  
Specific Stage ◽  
Systematic Solution ◽  
Human Spirituality

At each specific stage of society development, certain guidelines dominate, which set the direction in solving the problems of educating the younger generation. We are deeply convinced that today such reference points are the creative and aesthetic factors that determine the basis of human spirituality. The essence of the proposed conception is education, an integral component of which is the systematic solution of various creative tasks in an aesthetically enriched environment. The pupils’ coordinated with age creative activity will contribute to increasing the motivation to work, developing the intellect, maximizing the abilities of each of them. Creative education, as it is understood here, involves the use of different methods, approaches to the child and its orientation towards achieving the most original result during the performance of any work, finding as many possible solutions for each new task as possible, comparing them to each other, choosing the best by the sum of specific indicators (profitability, environmental friendliness, aesthetics, etc.). In this context, creativity is also understood as ordinary work, the consequences of which are necessary for both the performer himself and other people. In some cases it is necessary to use special techniques of creative training KARUS.

scholarly journals Cogrowth for group actions with strongly contracting elements

2018 ◽  
Vol 40 (7) ◽  
pp. 1738-1754 ◽  
Author(s):  
GOULNARA N. ARZHANTSEVA ◽  
CHRISTOPHER H. CASHEN
Keyword(s):  
Mapping Class Groups ◽  
Hyperbolic Spaces ◽  
Hyperbolic Groups ◽  
Mapping Class ◽  
Small Cancellation ◽  
Class Groups ◽  
Original Result ◽  
Geodesic Metric Space ◽  
Geodesic Metric ◽  
Right Angled Artin Groups

Let $G$ be a group acting properly by isometries and with a strongly contracting element on a geodesic metric space. Let $N$ be an infinite normal subgroup of $G$ and let $\unicode[STIX]{x1D6FF}_{N}$ and $\unicode[STIX]{x1D6FF}_{G}$ be the growth rates of $N$ and $G$ with respect to the pseudo-metric induced by the action. We prove that if $G$ has purely exponential growth with respect to the pseudo-metric, then $\unicode[STIX]{x1D6FF}_{N}/\unicode[STIX]{x1D6FF}_{G}>1/2$. Our result applies to suitable actions of hyperbolic groups, right-angled Artin groups and other CAT(0) groups, mapping class groups, snowflake groups, small cancellation groups, etc. This extends Grigorchuk’s original result on free groups with respect to a word metric and a recent result of Matsuzaki, Yabuki and Jaerisch on groups acting on hyperbolic spaces to a much wider class of groups acting on spaces that are not necessarily hyperbolic.

Detection of Coherence in Collocated Experimental Acceleration Signals in a Flexible Aluminum Multi-Beam Structure

2011 ◽  
Author(s):  
Ioannis T. Georgiou
Keyword(s):  
State Of The Art ◽  
Normal Modes ◽  
Piezoelectric Sensors ◽  
Beam Structure ◽  
Original Result ◽  
Unit Space ◽  
Modes Of Vibration ◽  
Proper Orthogonal ◽  
The Impact ◽  
Acceleration Signals

The present work concerns the study of the experimental Proper Orthogonal Decomposition (POD) modes of three simultaneously acquired ensembles of collocated impulse-induced acceleration signals in a complex multi-beam aluminum structure. The impact-induced locally transverse acceleration of a three-beam structure is measured simultaneously at three fixed points with state-of-the-art piezoelectric sensors. Each ensemble of collocated databases is processed by the POD Transform to find out that it is underlined by strong coherence in space and time manifested by a small number of POD modes. It is found that the unit space modulations of the first-the dominant-POD modes of the three databases of experimental acceleration signals form an orthonormal set. The same is true for their companion unit time modulations. This original result leads to the identification of three normal modes of vibration for the complex beam structure.

scholarly journals ROOT MULTIPLICITIES AND NUMBER OF NONZERO COEFFICIENTS OF A POLYNOMIAL

2007 ◽  
Vol 06 (03) ◽  
pp. 469-475 ◽  
Author(s):  
SANDRO MATTAREI
Keyword(s):  
Finite Field ◽  
Characteristic Zero ◽  
Positive Characteristic ◽  
Similar Argument ◽  
Original Result ◽  
Exact Number ◽  
Nonzero Root ◽  
Root Multiplicities ◽  
Univariate Polynomial

It is known that the weight (that is, the number of nonzero coefficients) of a univariate polynomial over a field of characteristic zero is larger than the multiplicity of any of its nonzero roots. We extend this result to an appropriate statement in positive characteristic. Furthermore, we present a new proof of the original result, which produces also the exact number of monic polynomials of a given degree for which the bound is attained. A similar argument allows us to determine the number of monic polynomials of a given degree, multiplicity of a given nonzero root, and number of nonzero coefficients, over a finite field of characteristic larger than the degree.

PARALLEL PROGRAMMING WITH LIST HOMOMORPHISMS

1995 ◽  
Vol 05 (02) ◽  
pp. 191-203 ◽  
Author(s):  
MURRAY I. COLE
Keyword(s):  
Parallel Algorithms ◽  
Parallel Programming ◽  
Recognition Algorithm ◽  
Parallel Programs ◽  
Language Recognition ◽  
Original Result ◽  
Simple Result ◽  
Nested Parallelism ◽  
General Goal

We review the use of the Bird-Meertens Formalism as a vehicle for the construction of programs with massive implicit parallelism. We show that a simple result from the theory, concerning the expression of list homomorphisms, can help us in our search for parallel algorithms by suggesting an informal methodology which is applicable when the original result is not, and demonstrate its application to a variety of problems. One of these, a language recognition algorithm, produces a program which exploits nested parallelism. Our main purpose is to show that an understanding of the homomorphism lemma can be helpful in producing parallel programs for problems which are "not quite" list homomorphisms themselves. A more general goal is to illustrate the benefits which can arise from taking a little theory with a pinch of pragmatic salt.

Multi-valued solutions of the wave equation

1981 ◽  
Vol 90 (2) ◽  
pp. 335-341 ◽  
Author(s):  
F. G. Friedlander
Keyword(s):  
Wave Equation ◽  
Fundamental Solution ◽  
Turn Of The Century ◽  
Original Result ◽  
Elementary Construction

It was first pointed out by Sommerfeld, around the turn of the century, that certain multi-valued solutions of the wave equation in ℝ3 can be used to deal with the problem of scattering by a wedge, or reflection in a corner. The older literature on this subject is extensive; see ((4), chapter 5) for references up to 1958. The object of this Note is to give an explicit and elementary construction of a forward fundamental solution of the wave equation, of this type, in ℝn+1, where n ≥ 2; for n = 2 this includes Sommer-feld's original result.

scholarly journals A Congruence-Based Perspective on Finite Tree Automata

2022 ◽  
Vol 184 (1) ◽  
pp. 1-47
Author(s):  
Pierre Ganty ◽  
Elena Gutiérrez ◽  
Pedro Valero
Keyword(s):  
Expressive Power ◽  
Tree Automata ◽  
Minimization Algorithm ◽  
Top Down ◽  
Finite Tree ◽  
Bottom Up ◽  
Original Result

We provide new insights on the determinization and minimization of tree automata using congruences on trees. From this perspective, we study a Brzozowski’s style minimization algorithm for tree automata. First, we prove correct this method relying on the following fact: when the automata-based and the language-based congruences coincide, determinizing the automaton yields the minimal one. Such automata-based congruences, in the case of word automata, are defined using pre and post operators. Now we extend these operators to tree automata, a task that is particularly challenging due to the reduced expressive power of deterministic top-down (or equivalently co-deterministic bottom-up) automata. We leverage further our framework to offer an extension of the original result by Brzozowski for word automata.

scholarly journals Convergence processes of selected demographic indicators in regions of the Czech Republic

2010 ◽  
Vol 58 (3) ◽  
pp. 137-144
Author(s):  
Bohumil Minařík ◽  
Jaroslav Dufek ◽  
Zlata Sojková
Keyword(s):  
Czech Republic ◽  
Demographic Data ◽  
Point Of View ◽  
Capital City ◽  
Demographic Development ◽  
Original Result ◽  
The Czech Republic ◽  
Demographic Indicators ◽  
Sigma Convergence ◽  
Opposite Situation

A number of authors deal with problems of convergence, divergence and disparities, particularly with reference to economic growth and its comparison in groups of countries. This paper is aimed at problems of using basic methods of measuring the convergence at the evaluation of the development of selected demographic characteristics of particular regions of the Czech Republic for the period 1992 to 2007. From demographic data provided by the Czech Statistical Office some indicators were selected associated with aging the CR population. In particular, following indicators were used: the proportion of productive population, coefficient of loading the productive population by young persons, coefficient of loading the productive population by old persons, coefficient of the total loading and index of age. A precondition served as a working hypothesis that in addition to the negative demographic development affecting the CR as a whole, the convergence of its particular regions also occurred, viz. regions at the level of NUTS 3. At the quantification of convergence processes in particular regions of the CR, the method of beta convergence was used (in a simplified linearized form) as well as the method of sigma convergence. Both methods predicate unambiguously on the convergence of the CR regions from the point of view of all examined demographic indicators. From the aspect of both methods, the fastest convergence occurred in the studied period in the indicator of loading the productive population by old persons. In this indicator (as the only from monitored ones), no disparity showed as well, ie a region showing an isolated development was not noted. Opposite situation manifested itself at the indicator of loading the productive population by young persons. Only elimination of the capital city of Prague reversed an original result showing evidence of the divergence of regions from the aspect of this indicator. Disparities of the capital city of Prague occurred even at other two indicators. Only from the aspect of age, the Central Bohemian region became a region being beside the general trend of convergence.

Sign in / Sign up

Export Citation Format

Share Document