Institute of Mathematics

Institute of Mathematics 426 records found  beginprevious417 - 426  jump to record: Search took 0.01 seconds. 
We learn from practice
Tichá, Marie ; Hošpesová, A.
The teachers should systematically cultivate their competences. In submitted contribution we deal with improvement of teacherďs subject-didactical and pedagogical/psychological competences. Our considerations are based on samples of teachin experiments and following collective reflection of teachers and researchers.
Aplikace metody přímek na úlohy proudění
Segeth, Karel ; Šolín, P.
According to the general framework of the method of lines, we split the numerical solution of the nonstationary compressible Euler equations in 1D, 2D and 3D into the three following steps: First, the system of PDE´s is semidiscretized in space. Second the smoothness and Lipschitz continuity of the right-hand-side (RHS) of the arising system of ordinary equations (ODE´s) is analyzed and its solvability is discussed. Third, classical ODE packages ( we use ODEPACK and DDASPK ) are applied to the system of ODE´s.
Dolní odhad pro omezené pravděpodobnostní online algoritmy pro rozvrhování
Tichý, Tomáš
This paper studies a restricted class of randomized on-line non-preemptive algorithms for scheduling in multiprocessor systems. In this class each task is specified by its processing time and scheduled to a processor with the smallest or $h$th biggest load for a fixed $h$. The competitive ratio is the maximum of the ratios of the expected makespan and the optimal makespan over all.
Zlepšený aproximační algoritmus pro asymetrický problém obchodního cestujícího
Blaser, M. ; Manthey, B. ; Sgall, Jiří
We consider the asymmetric traveling salesperson problem with /gamma-parameterized triangle inequality Chandran and Ram recently gave the first constant factor approximation algorithm with polynomial running time for this problem. We devise an approximation algorithm, which is better than the one of Chandran and Ram for /gamma in [0.5437,1).
Zlepšené online algoritmy pro správu bufferů v QoS hradlech
Chrobak, M. ; Jawor, W. ; Sgall, Jiří ; Tichý, Tomáš
We consider the following buffer management problem arising in QoS networks: packets with specified weights and deadlines arrive at a network switch and need to be forwarded so that the total value of forwarded packets is maximized. If packet is not forwarded before its deadline, it is lost and brings no profit. The main result of the paper is an online 1.939-competitive algorithm --.
Online rozvrhování úloh stejné délky
Chrobak, M. ; Jawor, W. ; Sgall, Jiří ; Tichý, Tomáš
We consider the following scheduling problem. The input is a set of jobs with equal processing times, where each job is specified by its release time and deadline. The goal is to determine a single-processor, non-preemptive schedule of these jobs that maximizes the number of completed jobs. In the online version, each job arrives at its release time.
Jednoduchý kombinatorický důkaz duality vícecestných toků a řezů
Bagchi, A. ; Chaudhary, A. ; Kolman, P. ; Sgall, Jiří
We present a simple combinatorial proof of the duality theorem for multiroute flows and cuts and its corollary which characterizes multiroute flows in termsof classical flows.
Collective reflections in mathematics lessons
Hošpesová, A. ; Tichá, Marie
The contribution is based on analysis of several video-tapes of mathematics lessons. It is shown how the group of elementary teachers understands and evaluates their competences in the course of preparation, realisation and assessmentseveral teaching experiments. Improvement of their subject-didactical competence is outlined.
Neoscilatorická řešení pro nelineární diskrétní systémy
Marini, M. ; Matucci, S. ; Řehák, Pavel
We investigate some asymptotic properties of the nonlinear forced difference system. In particular we give necessary and sufficient conditions for existenceof the so-called regularly decaying solutions and thereby we complete the results presented in our previous paper.
Řešení pro třídu systémů s p-Laplacianem, která konvergují k nule
Marini, M. ; Matucci, S. ; Řehák, Pavel
We present some results about the existence of positive decaying solutions fora class of systems of two second order coupled nonlinear equations with p-Laplacian operator. In addition, the generalized Emden-Fowler type systems are considered and necessary and sufficient conditions are given in order for the system to have regularly and/or strongly decaying solutions.

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