scholarly journals ON THE ESSENCE, THE PLACE, THE PART AND CHARACTER OF THE TASKS WITH PARAMETERS IN THE GEOMETRY COURSES OF THE INSTITUTIONS OF GENERAL SECONDARY EDUCATION

2020 ◽  
Vol 1 (191) ◽  
pp. 150-154
Author(s):  
Olena Synyukova ◽  
◽  
Oleh Chepok ◽  
Keyword(s):  
Secondary Education ◽  
Euclidean Plane ◽  
Euclidean Geometry ◽  
Axiomatic Theory ◽  
Geometrical Figure ◽  
Long Time ◽  
Mutual Displacement ◽  
The Given ◽  
Independent Assessment ◽  
Parameter Relation

The so-called tasks with parameters for a long time now have become an integral part as of the every to some extent profound course of algebra or of algebra and the beginnings of cultures at the institutions of general secondary education, as of the corresponding tasks of the State Final Attestation in Mathematics and the External independent assessment in mathematics. And it isn’t accidental because in the most often cases the solution of the task with a parameter turns for the student into a small investigation by his own. The realization of such investigation favors the formation of the creative practical-oriented personality. Simultaneously we must state that, despite of the existence of a lot of the high scientific and methodical level created corresponding training books, it is difficult just now to find in the methodical literature the clear answers to the natural questions of what is meant on the whole by the task with parameter (or with parameters) and its solution. At the same time, in the courses of geometry of the institutions of general secondary education to the tasks with parameters it is given next to nothing consideration. But in fact such tasks in the courses are present, their importance for the proper construction of the courses can be exaggerated. In the paper the problems of what must be understand by the task with the parameter or with the parameters and by its solution are analyzed. The essence, the part and the place of the tasks with parameters in the geometry courses of institutions of general secondary education are elucidated. Euclidean geometry as an axiomatic theory investigates the sets that in their overwhelming majority represent by themselves the mathematical abstructions of the spatial forms of the surrounding, some relations between such set and quantities that characterize such sets and relations. In the contrast to the courses of algebra, in the geometrical courses the part of parameters may be played by all of the three mentioned components. Geometrical figures can change by the size and by the form. Changing by the size bring us to the concept of the scalar quantity. Changing by the form are considered in the tasks of paving and, for example, in the tasks of finding the amount and the types of symmetries of geometrical figure in dependence of its form. The part of the parameter-relation can be played by different variants of mutual displacement of the given figures in Euclidean plane or in Euclidean space. According to their content, different geometrical tasks with parameters are considered in the work. The task of the existence of geometrical figures, the tasks, conserning the character of some geometrical places of points, the tasks of tracing with the help of a compass and a ruler are among them.

Het Sint-Hubertuscollege in Neerpelt: het eerste Vlaams college? Een micro-onderzoek over de vernederlandsing van het middelbaar onderwijs

2014 ◽  
Vol 73 (1) ◽  
pp. 7-33
Author(s):  
Paul Janssenswillen ◽  
Wil Meeus
Keyword(s):  
Secondary Education ◽  
Environmental Factors ◽  
Secondary School ◽  
Catchment Area ◽  
Leisure Time ◽  
Boarding School ◽  
State School ◽  
Meeting Point ◽  
Religious Associations ◽  
Long Time

De vernederlandsing van het middelbaar onderwijs in Vlaanderen was een moeizaam proces dat zich over een lange periode uitstrekte. De nu vijftig jaar oude taalwet van 1963 wordt als eindpunt van dit proces beschouwd. Het tempo van de vernederlandsing verschilde van school tot school naargelang van hun ligging en leiding.Het bisschoppelijke Sint-Hubertuscollege in Neerpelt is het eerste Vlaams college. Daar werd in 1910 volledig Nederlandstalig gestart zowel tijdens de klasuren als erbuiten in de ontspanningstijd en het godsdienstig verenigingsleven. Gunstige factoren waren in dit verband de ligging van de school, ver weg van de taalgrens of een verfranste stad, met vrijwel geen Waalse leerlingen én de gebrekkige Franse taalkennis van de leerlingen die zich in 1910 aanboden. Ook de onvolledige humanioracyclus en het ontbreken van een concurrerende rijksschool speelden daarbij mee. Deze gunstige omgevingsfactoren en het feit dat in naburige katholieke colleges zoals die van Peer en Maaseik het vernederlandsingsproces in een stroomversnelling zat, werden door de koppige directeur Jaak Peuskens aangegrepen om het Nederlands in zijn college in te voeren. Het bisdom dat hem hiervoor op de vingers tikte, liet uiteindelijk betijen na een goede uitslag in de jaarlijkse staatsprijskamp.Met de inrichting van een internaat en de volledige humanioracyclus en de faam als eerste Vlaams college vergrootte de school haar rekruteringsgebied. Dat gebeurde onder impuls van de ondernemende directeur Gerard Nulens die contacten onderhield in Vlaamsgezinde milieus van diverse strekking. Neerpelt dat via het spoor gemakkelijk bereikbaar was, werd zo een flamingantisch trefpunt. Onder meer de zonen van Frans Van Cauwelaert, August Borms en Emiel Wildiers zaten er op de schoolbanken. Ook nadat het bisdom onverwacht en zonder duidelijke motivering de hoogste twee klassen van de klassieke humaniora afschafte, bleef het college van Neerpelt aantrekkingskracht uitoefenen op zonen van leidinggevende Vlaamsgezinden.________The Sint-Hubertuscollege (St Hubert’s secondary School) in Neerpelt: the first Flemish secondary school?A micro-investigation of the Dutchification of secondary education.The Dutchification of secondary education in Flanders was a laborious process that took a very long time. The now fifty year old law on the use of language of 1963 is considered as the finishing point of this process. The speed of the Dutchification differed from school to school according to its location and administration.The Episcopal Sint-Hubertuscollege in Neerpelt was the first Flemish secondary school. In 1910 it became an entirely Dutch speaking school, where Dutch was used during classes as well as elsewhere during leisure time and at religious associations. This was favoured by factors such as the location of the school, far away from the language border or a Frenchified city, the fact that there were hardly any Walloon pupils as well as the deficient knowledge of French of the pupils who applied in 1910. In addition, the incomplete cycle of coursework in humanities and the lack of a competing state school played a role. The stubborn director Jaak Peuskens took advantage of these favourable environmental factors and the fact that in neighbouring Catholic secondary schools like the ones in Peer and Maaseik the Dutchification process was rapidly gaining speed in order to introduce Dutch in his secondary school. The diocese that rapped him over the knuckles for this, in the end condoned it after the school obtained a good result in the annual state competition.After the setting up of the boarding school, the introduction of the complete humanities cycle and the resulting fame of being the first Flemish secondary school, the school enlarged its catchment area for recruitment. This happened at the instigation of the enterprising director Gerard Nulens who had contacts in pro-Flemish circles of various tendencies. Thus Neerpelt, which was so easily accessible by rail, became a Pro-Flemish meeting point. Pupils who attended the school included among others the sons of Frans Van Cauwelaert, August Borms and Emiel Wildiers. Even after the diocese unexpectedly and without clear motivation cancelled the two highest classes of the classical humanities cycle, the secondary school of Neerpelt continued to attract the sons of pro-Flemish leaders.

scholarly journals Assessment of Research and Development Financing Based on the Strategies in EU: Case of Sweden, Slovakia and Romania

2021 ◽  
Vol 13 (15) ◽  
pp. 8628
Author(s):  
Emília Duľová Spišáková ◽  
Barbora Gontkovičová ◽  
Emil Spišák
Keyword(s):  
European Union ◽  
Research And Development ◽  
Economic Reform ◽  
The European Union ◽  
2030 Agenda ◽  
Processing Data ◽  
Europe 2020 ◽  
Europe 2020 Strategy ◽  
Long Time ◽  
The Given

Research and development have been of interest to the European Union for a long time. This topic is also underlined in economic reform agendas and plans that have the form of strategies with clearly set targets. The article deals with the issue of financing R&D activities from the perspective of the share of expenditure to GDP, the total amount of funds spent on R&D, the share of expenditure per capita, and the structure of expenditure. The aim is to analyze and compare development in the field of R&D financing in selected countries of the European Union with emphasis on achieving the Europe 2020 target and to point out the expected development of the indicator for the first years of the validity of the 2030 Agenda for Sustainable Development. During the processing of the article, mathematical and statistical methods (regression and correlation analysis) were used in addition to standard logic methods intended for processing data and drawing conclusions (synthesis, induction). The final evaluates the achievement of the target in the field of R&D financing in accordance with the target of the Europe 2020 strategy and, using regression, predicts the development of the given indicator for coming years.

scholarly journals INTEGRATED SYNOPTICAL METHOD FOR CALCULATING ASSIMILATION CAPACITY OF SEA WATERS

2017 ◽  
pp. 115-120
Author(s):  
Hikmat Hamid oglu Asadov ◽  
Sima Ajdar gizi Askerova
Keyword(s):  
Sea Water ◽  
Water Masses ◽  
Optimum Regime ◽  
Optimization Task ◽  
Maximum Value ◽  
Long Time ◽  
Negative Effect ◽  
Optimum Order ◽  
Assimilation Capacity ◽  
The Given

Pollution of sea waters is one of major attributes of coastal industrial centers and the norming of such emissions is one of major countermeasures. The assimilation capacity of sea waters is a major factor relevant at norming and planning of outflows into sea waters. At present time the synoptical method has been developed, which doesn’t require carrying out long time and repeated observing of the level of pollution of sea waters. This method has formed the basis for developing the integrated synoptical method for calculating sea water assimilation capacity. The suggested method provides for division of the sea waters into separated homogenous water masses. The aim of the study is to develop an inverse integrated synoptical method allowing synthesizing of such an optimum order for loading separate water masses with pollutants upon, at which the calculated total value of assimilation capacity would reach its maximum. The article shows the possibility of utilization of known synoptical method for determining assimilation capacity of sea waters in the inverse order, i.e. for calculating the maximum value of pollutant put into the fixed zone of sea waters, upon a condition of reaching the given amount of assimilation capacity and absence of essential negative effect on ecosystem. The task of calculating an optimum regime function of discrete type, upon which the integrated value of assimilation capacity would reach the maximum value, has been formulated. The solution of analogue equivalent of the formed optimization task is carried out using the Euler equation for a non-conditional variation optimization task, taking into account the accepted limitation condition. The recommendations on optimum loading of different sea water zones with determined type of pollutant have been given.

scholarly journals Application of Latent Dirichlet Allocation (LDA) for clustering financial tweets

2021 ◽  
Vol 297 ◽  
pp. 01071
Author(s):  
Sifi Fatima-Zahrae ◽  
Sabbar Wafae ◽  
El Mzabi Amal
Keyword(s):  
Language Processing ◽  
Latent Dirichlet Allocation ◽  
Sentiment Classification ◽  
Research Areas ◽  
Preprocessing Method ◽  
Long Time ◽  
Standard Text ◽  
The Given ◽  
Dirichlet Allocation

Sentiment classification is one of the hottest research areas among the Natural Language Processing (NLP) topics. While it aims to detect sentiment polarity and classification of the given opinion, requires a large number of aspect extractions. However, extracting aspect takes human effort and long time. To reduce this, Latent Dirichlet Allocation (LDA) method have come out recently to deal with this issue.In this paper, an efficient preprocessing method for sentiment classification is presented and will be used for analyzing user’s comments on Twitter social network. For this purpose, different text preprocessing techniques have been used on the dataset to achieve an acceptable standard text. Latent Dirichlet Allocation has been applied on the obtained data after this fast and accurate preprocessing phase. The implementation of different sentiment analysis methods and the results of these implementations have been compared and evaluated. The experimental results show that the combined uses of the preprocessing method of this paper and Latent Dirichlet Allocation have an acceptable results compared to other basic methods.

Circles on the Complex Plane

2021 ◽  
pp. 3-12
Author(s):  
A. Girsh
Keyword(s):  
Euclidean Space ◽  
Complex Plane ◽  
Euclidean Plane ◽  
Complex Space ◽  
Radical Center ◽  
Special Cases ◽  
Different Types ◽  
Different Dimensions ◽  
The Given ◽  
Made In

The Euclidean plane and Euclidean space themselves do not contain imaginary elements by definition, but are inextricably linked with them through special cases, and this leads to the need to propagate geometry into the area of imaginary values. Such propagation, that is adding a plane or space, a field of imaginary coordinates to the field of real coordinates leads to various variants of spaces of different dimensions, depending on the given axiomatics. Earlier, in a number of papers, were shown examples for solving some urgent problems of geometry using imaginary geometric images [2, 9, 11, 13, 15]. In this paper are considered constructions of orthogonal and diametrical positions of circles on a complex plane. A generalization has been made of the proposition about a circle on the complex plane orthogonally intersecting three given spheres on the proposition about a sphere in the complex space orthogonally intersecting four given spheres. Studies have shown that the diametrical position of circles on the Euclidean E-plane is an attribute of the orthogonal position of the circles’ imaginary components on the pseudo-Euclidean M-plane. Real, imaginary and degenerated to a point circles have been involved in structures and considered, have been demonstrated these circles’ forms, properties and attributes of their orthogonal position. Has been presented the construction of radical axes and a radical center for circles of the same and different types. A propagation of 2D mutual orthogonal position of circles on 3D spheres has been made. In figures, dashed lines indicate imaginary elements.

Implications of Using Corpus Tools in Primary and Secondary Education

2020 ◽  
pp. 179-190
Keyword(s):  
Secondary Education ◽  
Primary School ◽  
Language Learning ◽  
Secondary School Teachers ◽  
School Teachers ◽  
Primary School Teachers ◽  
Educational Levels ◽  
Teaching Activities ◽  
Advantages And Disadvantages ◽  
The Given

This chapter will give a comparison of using computer corpora in primary and in secondary schools. It will compare information that was collected from primary school teachers and secondary school teachers about using computer corpora for language subjects on primary and secondary educational levels. Based on the given information, the chapter will provide an explanation of the advantages and disadvantages of using computer corpora in language learning on those two educational levels. The chapter will explore which educational levels have more possibilities for incorporating computer corpora in their teaching activities and how it can be used in the classroom with students.

GENERALIZED MELZAK'S CONSTRUCTION IN THE STEINER TREE PROBLEM

2002 ◽  
Vol 12 (06) ◽  
pp. 481-488 ◽  
Author(s):  
JIA F. WENG
Keyword(s):  
Steiner Tree ◽  
Euclidean Plane ◽  
Steiner Tree Problem ◽  
Minimal Tree ◽  
Steiner Minimal Tree ◽  
The Core ◽  
Steiner Minimal Trees ◽  
Minimum Networks ◽  
Set Of Points ◽  
The Given

For a given set of points in the Euclidean plane, a minimum network (a Steiner minimal tree) can be constructed using a geometric method, called Melzak's construction. The core of the Melzak construction is to replace a pair of terminals adjacent to the same Steiner point with a new terminal. In this paper we prove that the Melzak construction can be generalized to constructing Steiner minimal trees for circles so that either the given points (terminals) are constrained on the circles or the terminal edges are tangent to the circles. Then we show that the generalized Melzak construction can be used to find minimum networks separating and surrounding circular objects or to find minimum networks connecting convex and smoothly bounded objects and avoiding convex and smoothly bounded obstacles.

VORONOI DIAGRAMS FOR A TRANSPORTATION NETWORK ON THE EUCLIDEAN PLANE

2006 ◽  
Vol 16 (02n03) ◽  
pp. 117-144 ◽  
Author(s):  
SANG WON BAE ◽  
KYUNG-YONG CHWA
Keyword(s):  
Voronoi Diagram ◽  
Euclidean Plane ◽  
Transportation Network ◽  
Voronoi Diagrams ◽  
The Other ◽  
Constant Number ◽  
Time Path ◽  
The Given

This paper investigates geometric and algorithmic properties of the Voronoi diagram for a transportation network on the Euclidean plane. In the presence of a transportation network, the distance is measured as the length of the shortest (time) path. In doing so, we introduce a needle, a generalized Voronoi site. We present an O(nm2+ m3+ nm log n) algorithm to compute the Voronoi diagram for a transportation network on the Euclidean plane, where n is the number of given sites and m is the complexity of the given transportation network. Moreover, in the case that the roads in a transportation network have only a constant number of directions and speeds, we propose two algorithms; one needs O(nm + m2+ n log n) time with O(m(n + m)) space and the other O(nm log n + m2log m) time with O(n + m) space.

scholarly journals Solving the Large-Scale TSP Problem in 1 h: Santa Claus Challenge 2020

2021 ◽  
Vol 8 ◽  
Author(s):  
Radu Mariescu-Istodor ◽  
Pasi Fränti
Keyword(s):  
Large Scale ◽  
Computing Time ◽  
Real Life ◽  
Problem Instance ◽  
Santa Claus ◽  
Design Choice ◽  
Long Time ◽  
Problem Instances ◽  
The Given ◽  
Important Design

The scalability of traveling salesperson problem (TSP) algorithms for handling large-scale problem instances has been an open problem for a long time. We arranged a so-called Santa Claus challenge and invited people to submit their algorithms to solve a TSP problem instance that is larger than 1 M nodes given only 1 h of computing time. In this article, we analyze the results and show which design choices are decisive in providing the best solution to the problem with the given constraints. There were three valid submissions, all based on local search, including k-opt up to k = 5. The most important design choice turned out to be the localization of the operator using a neighborhood graph. The divide-and-merge strategy suffers a 2% loss of quality. However, via parallelization, the result can be obtained within less than 2 min, which can make a key difference in real-life applications.

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