Przeglądaj 2003, Studia Mathematica 3 według daty wydania
Wyświetlanie pozycji 1-20 z 48
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Generalized Erlang problem for queueing systems with accumulation
(2003)We consider a non-classical $M/G/n/0$ type queueing system with random volume demands. Each demand requires $m$ servers for its simultaneous service with probability $q_m, Σ^n_{m=1} q_m = 1$. Service time of the demand ... -
Space imagination as a precondition for geometry learning
(2003)In the contribution, some experience acquired in the university education of primary school prospective teachers of mathematics will be presented. Space imagination is the ability needed by everyone. Prospective teachers ... -
Projects in teaching mathematics
(2003)The aim of contemporary education is to build a partner relationship between teacher and pupil while picking up new subject matter. Project education gives enough possibilities for forming this relationship. A teacher ... -
The role of nolation in mathematics
(2003)In this paper, the historical development of the Cardan’s rule notation is presented. Some descriptions with respect to the linear and/or structured form of texts are compared, and also the exactness of these descriptions ... -
A method of comparison of Post-complete propositional logics
(2003)In this paper we consider a necessary and sufficient condition for every propositional calculus to be Post-complete. We will show, how this condition may be used to compare consequence operations for these calculi. -
On a test concerning the notion of the set
(2003)Many students have problems with solving exercises concerning sets which elements are also sets. Many wrong solutions are due to incorrect understanding of the term set. We suggest a test which is aimed at drawing ... -
Learning system based on cellular automata
(2003)In this paper we present the CELLS2 system which is a learning system based on cellular automata. In the learning process CELLS2 used the Quine-McCluskey method which minimalizes boolean formulas. -
Annales Academiae Paedagogicae Cracoviensis. 16. Studia Mathematica 3
(Wydawnictwo Naukowe Akademii Pedagogicznej, Kraków, 2003) -
On new differential equations of the first order in the space $M(1,4) x R(u)$ with non-trivial symmetries
(2003)Some new differential equations of the first order in the space $M(1,4) x R(u)$, which are invariant under splitting subgroups of the generalized Poincaré group $P(1,4)$ are presented. -
Two problems solved with MS-Excel
(2003)The first problem arising in the theory of graphs is to find the maximum flow in a network. This is equivalent to the problem of finding a minimum cut, according to Ford-Fulkerson algorithm, which is briefly explained. ... -
The finite subsets of natural numbers
(2003)The article discusses relationships between triangle and square numbers. The stress is laid upon numerical equality. A finite set of these numbers and its subsets are given by software. Finding natural numbers with a ... -
POWER SET-problems with understanding the idea
(2003)The article concerns some symbols introduced in the first year of mathematics studies and problems of understanding them by students. We will show it in the idea of power set. A sequence of didactic activities proposed ... -
About practical exercises taken from real life
(2003)Review of bibliography. Contemporary requirements in mathematical teaching. Classification of exercises occurring in mathematics school books. Analysis of selected primary and secondary school books considering the use ... -
Duality : random variables versus observables
(2003)We discuss some aspects of the duality between random variables and observables - one of the basic questions of probability. Besides a historical background, we mention the role of elementary events and the algebraic ... -
Remarks on continuous fractions
(2003)A lot of interesting examples from the history of mathematics axe seldom if at all used in school mathematics. Continuous fractions were used in the ancient Greece to calculate values of irrational numbers. In the present ... -
Students' ideas about infinity
(2003)An analysis of students’ ideas associated with the terms finite and infinite is presented. It is based on research we carried out in the years 1998-2000 at thirty elementary and secondary comprehensive schools in the ... -
On children's understanding of area
(2003)Area and volume belong to the most important geometrical concepts due to their broad application outside mathematics. Certain problems connected with the understanding of “area” observed in 11 year old children will be ... -
Fibonacci sequence II (helping students become active learners through guided mathematical investigations)
(2003)Elementary number theory provides a variety of topics suitable for guided investigation in mathematics (the scheme of investigation is diagramed). We demonstrate this with the help of non-traditional and fascinating topic ... -
Direction field of fingerprint image and its optimization with the help of relaxation procedures
(2003)Direction field building has an exclusive importance for common process of the classification analysis in up-to- date automatic fingerprint identification systems. All characteristics of this analysis strongly depend on ... -
Solutions to a certain problem illustrating the idea of fusionism in the probability theory
(2003)The solutions presented above may serve as an illustration of "the principle of internal integration”, known as the idea of liisionisiii. Three balls are selected simultaneously from an urn containing b white balls and ...