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Tytuł:
A study on capacity development of mathematical pedagogy students
Studium na temat rozwoju umiejętności studentów matematyki ze specjalnością nauczycielską
Autorzy:
Nguyen, Hau Huu
Hoa, Tuong Anh
Anh, Giang Pham
Powiązania:
https://bibliotekanauki.pl/articles/551353.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
performance capacity
mathematical pedagogics student
method teaching
mathematics
elementary mathematics
zdolność do działania
matematyka pedagoga
nauczanie metod
matematyka
matematyka elementarna
Opis:
This paper presents some courses in Bachelor of capacity development of mathematical pedagogy students. Firstly, we analysed Bachelor of Mathematical Education program. Secondly, we conducted a survey to identify Vietnamese students who need to be equipped and experienced some performance capacities. Thirdly, we suggested some solutions to be taken during courses related to the module of teaching methods and pedagogic practice in order to contribute to the promotion of these competencies for students. Finally, we answered the question “How to develop such capacities for students?”.
Niniejszy artykuł przedstawia kilka kursów, które mają na celu rozwój umiejętności dydaktycznych z zakresu matematyki wśród studentów. Po pierwsze, przeanalizowaliśmy program studiów licencjackich z zakresu edukacji matematycznej. Po drugie, przeprowadziliśmy ankietę w celu ustalenia, którzy wietnamscy studenci powinni być wyposażeni w określone doświadczenia i umiejętności. Po trzecie, zaproponowaliśmy kilka rozwiązań, które należy podjąć podczas kursów związanych z modułem metod nauczania i praktyką pedagogiczną, aby podnieść kompetencje studentów. Na koniec odpowiedzieliśmy na pytanie: „Jak rozwijać takie możliwości wśród studentów?”.
Źródło:
Relacje. Studia z nauk społecznych; 2017, 4; 177-190
2543-5124
Pojawia się w:
Relacje. Studia z nauk społecznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization and Pole Assignment in Control System Design
Autorzy:
Chu, E. K.
Powiązania:
https://bibliotekanauki.pl/articles/908060.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
optymalizacja
matematyka
condition number
linear feedback
pole assignment
robustness
Opis:
Some elementary optimization techniques, together with some not so well-known robustness measures and condition numbers, will be utilized in pole assignment. In particular, "Method 0" by Kautsky et al. (1985) for optimal selection of vectors is shown to be convergent to a local minimum, with respect to the condition number 1/2 ||X||_F^2 - ln |det X|. This contrasts with the misconception by Kautsky et al. that the method diverges, or the recent discovery by Yang and Tits (1995) that the method converges to stationary points.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 5; 1035-1053
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Analysis of Immunotherapy Models in the Context of Cancer Dynamics
Autorzy:
Szymańska, Z.
Powiązania:
https://bibliotekanauki.pl/articles/908152.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
matematyka
dynamic systems
immune system
cancer
vaccination
Opis:
A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive immunotherapy seems better for the patient at least in some cases.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 407-418
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Reliability Design of Complex Systems by Minimizing the Lifetime Variance
Autorzy:
Łobos, E.
Momot, M.
Powiązania:
https://bibliotekanauki.pl/articles/908509.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
reliability
constant failure rate
redundancy
Opis:
The problem considered in this paper is the minimization of the lifetime variance of a complex system subject to its expected life and economic constraints. The example of a bridge network, in which all elements have constant failure rates, illustrates the problem. A numerical algorithm for solving this optimization problem by using exact formulae for system lifetime moments is included. Using this algorithm, we can obtain results better than the solutions known from earlier papers.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 553-557
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Unilateral Contact Applications Using Fem Software
Autorzy:
Stavroulaki, M. E.
Stavroulakis, G. E.
Powiązania:
https://bibliotekanauki.pl/articles/907898.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
nonsmooth analysis
constrained optimization
contact problem
Opis:
Nonsmooth analysis, inequality constrained optimization and variational inequalities are involved in the modelling of unilateral contact problems. The corresponding theoretical and algorithmic tools, which are part of the area known as nonsmooth mechanics, are by no means classical. In general purpose software some of these tools (perhaps in a simplified way) are currently available. Two engineering applications, a rubber-coated roller contact problem and a masonry wall, solved with MARC, are briefly presented, together with elements of the underlying theory.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 115-125
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Asymptotical Stability of a Dynamic System With Structural Damping
Autorzy:
Hou, X.
Powiązania:
https://bibliotekanauki.pl/articles/908219.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
dynamic systems
evolution equation
asymptotic stability
Opis:
A dynamic system with structural damping described by partial differential equations is investigated. The system is first converted to an abstract evolution equation in an appropriate Hilbert space, and the spectral and semigroup properties of the system operator are discussed. Finally, the well-posedness and the asymptotical stability of the system are obtained by means of a semigroup of linear operators.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 2; 131-138
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Inequality-Based Approximation of Matrix Eigenvectors
Autorzy:
Kocsor, A.
Dombi, J.
Balint, I.
Powiązania:
https://bibliotekanauki.pl/articles/908503.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
eigenvectors
eigenvalues
inequalities
error bounds
iterative methods
Opis:
A novel procedure is given here for constructing non-negative functions with zero-valued global minima coinciding with eigenvectors of a general real matrix A. Some of these functions are distinct because all their local minima are also global, offering a new way of determining eigenpairs by local optimization. Apart from describing the framework of the method, the error bounds given separately for the approximation of eigenvectors and eigenvalues provide a deeper insight into the fundamentally different nature of their approximations.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 533-538
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A Boundary-Value Problem for Linear Pdaes
Autorzy:
Marszałek, W.
Trzaska, Z.
Powiązania:
https://bibliotekanauki.pl/articles/908511.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
differential algebraic equations
boundary value problems
linear multivariable systems
Opis:
We analyze a boundary-value problem for linear partial differential algebraic equations, or PDAEs, by using the method of the separation of variables. The analysis is based on the Kronecker-Weierstrass form of the matrix pencil [A,-ln B]. A new theorem is proved and two illustrative examples are given.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 4; 487-491
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A nonlinear model of a turbine blade by asymptotic analysis
Autorzy:
Rodriguez, J. M.
Powiązania:
https://bibliotekanauki.pl/articles/907896.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
asymptotic analysis
nonlinear elasticity
junctions
shallow shells
multistructures
Opis:
In this paper we obtain a limit model for a turbine blade fixed to a 3D solid. This model is a three-dimensional linear elasticity problem in the 3D part of the piece (the rotor) and a two-dimensional problem (the nonlinear shallow shell equations) in the 2D part (the turbine blade), with junction conditions in the part of the turbine blade fixed to the rotor. To obtain this model, we perform an asymptotic analysis, starting with the nonlinear three-dimensional elasticity equations on all the pieces and taking as a small parameter the thickness of the blade.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 101-113
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mathematical Modeling of the Competition Between Acquired Immunity and Cancer
Autorzy:
Kolev, M.
Powiązania:
https://bibliotekanauki.pl/articles/908160.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
matematyka
leukemia
acquired immunity
immunotherapy
antibodies
integro-differential equations
Opis:
In this paper we propose and analyse a model of the competition between cancer and the acquired immune system. The model is a system of integro-differential bilinear equations. The role of the humoral response is analyzed. The simulations are related to the immunotherapy of tumors with antibodies.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 289-296
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Modelling Tumour-Immunity Interactions With Different Stimulation Functions
Autorzy:
Zhivkov, P.
Waniewski, J.
Powiązania:
https://bibliotekanauki.pl/articles/908163.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
matematyka
ordinary differential equations
critical points
stability analysis
immunotherapy
Opis:
Tumour immunotherapy is aimed at the stimulation of the otherwise inactive immune system to remove, or at least to restrict, the growth of the original tumour and its metastases. The tumour-immune system interactions involve the stimulation of the immune response by tumour antigens, but also the tumour induced death of lymphocytes. A system of two non-linear ordinary differential equations was used to describe the dynamic process of interaction between the immune system and the tumour. Three different types of stimulation functions were considered: (a) Lotka-Volterra interactions, (b) switching functions dependent on the tumour size in the Michaelis-Menten form, and (c) Michaelis-Menten switching functions dependent on the ratio of the tumour size to the immune capacity. The linear analysis of equilibrium points yielded several different types of asymptotic behaviour of the system: unrestricted tumour growth, elimination of tumour or stabilization of the tumour size if the initial tumour size is relatively small, otherwise unrestricted tumour growth, global stabilization of the tumour size, and global elimination of the tumour. Models with switching functions dependent on the tumour size and the tumour to the immune capacity ratio exhibited qualitatively similar asymptotic behaviour.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 307-315
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Measuring and Maintaining Consistency: a Hybrid Ftf Algorithm
Autorzy:
Bunch, J. R.
Le Borne, R. C.
Proudler, I. K.
Powiązania:
https://bibliotekanauki.pl/articles/908062.pdf
Data publikacji:
2001
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
algorytmy
matematyka
FTF
numerical stability
consistency
Opis:
Due to the versatility as well as its ease of implementation, the Fast Transversal Filters algorithm is attractive for many adaptive filtering applications. However, it is not widely used because of its undesirable tendency to diverge when operating in finite precision arithmetic. To compensate, modifications to the algorithm have been introduced that are either occasional (performed when a predefined condition(s) is violated) or structured as part of the normal update iteration. However, in neither case is any confidence explicitly given that the computed parameters are in fact close to the desired ones. Here, we introduce a time invariant parameter that provides the user with more flexibility in establishing confidence in the consistency of the updated filter parameters. Additionally, we provide evidence through the introduction of a hybrid FTF algorithm that when sufficient time is given prior to catastrophic divergence, the update parameters of the FTF algorithm can be adjusted so that consistency can be acquired and maintained.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2001, 11, 5; 1203-1216
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On the Constrained Controllability of Dynamical Systems With Multiple Delays in the State
Autorzy:
Sikora, B.
Powiązania:
https://bibliotekanauki.pl/articles/908099.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
delay systems
constrained controllability
control
constraints
asymptotic stability
Opis:
Linear stationary dynamical systems with multiple constant delays in the state are studied. Their relative and approximate controllability properties with constrained controls are discussed. Definitions of various types of controllability with constrained controls for systems with delays in the state are introduced. Some theorems concerning the relative and the approximate relative controllability with constrained controls for dynamical systems with delays in the state are established. Various types of constraints are considered. Numerical examples illustrate the theoretical analysis. An example of a real technical dynamical system is given to indicate one of possible practical applications of the theoretical results.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 4; 469-479
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Energy Method for Elastic Problems With Non-Homogeneous Boundary Conditions
Autorzy:
Quintanilla, R.
Powiązania:
https://bibliotekanauki.pl/articles/907887.pdf
Data publikacji:
2002
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
matematyka
weighted energy method
decay estimates
Navier equations
non-homogeneous boundary conditions
Opis:
In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.In this paper we propose the weighted energy method as a way to study estimates of solutions of boundary-value problems with non-homogeneous boundary conditions in elasticity. First, we use this method to study spatial decay estimates in two-dimensional elasticity when we consider non-homogeneous boundary conditions on the boundary. Some comments in the case of harmonic vibrations are considered as well. We also extend the arguments to a class of three-dimensional problems in a cylinder. A section is devoted to the study of an ill-posed problem. Some remarks are presented in the last section of the paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2002, 12, 1; 91-100
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Dynamics of the Tumor---Immune System Competition---the Effect of Time Delay
Autorzy:
Gałach, M.
Powiązania:
https://bibliotekanauki.pl/articles/908151.pdf
Data publikacji:
2003
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
medycyna
matematyka
mathematical model
tumor growth
differential equation
time delay
Opis:
The model analyzed in this paper is based on the model set forth by V.A. Kuznetsov and M.A. Taylor, which describes a competition between the tumor and immune cells. Kuznetsov and Taylor assumed that tumor-immune interactions can be described by a Michaelis-Menten function. In the present paper a simplified version of the Kuznetsov-Taylor model (where immune reactions are described by a bilinear term) is studied. On the other hand, the effect of time delay is taken into account in order to achieve a better compatibility with reality.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2003, 13, 3; 395-406
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 30

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