Mathematica Applicanda

Items from 1 to 20 out of 155 results

article

Localizing Influential Genes with Modified Versions of Bayesian Information Criterion

P. Szulc, M. Bogdan

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 3-14

Regions of the genome that influence quantitative traits are called quantitative trait loci (QTLs) and can be located using statistical methods. For this aim scientists use genetic markers, of which genotypes are known, and look for the associations between these genotypes and trait values. The common method which can be used in this problem is a linear regression. There are many model selection criteria...

article

What Can a Mathematician do in Neuroscience?

J. Karbowski

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 27-37

Mammalian brain is one of the most complex objects in the known universe, as it governs every aspect of animal’s and human behavior. It is fair to say that we have a very limited knowledge of how the brain operates and functions. Computational Neuroscience is a scientific discipline that attempts to understand and describe the brain in terms of mathematical modeling. This user-friendly review tries...

article

U progu zmiany paradygmatu myślenia o edukacji matematycznej - casus wdrażania modelowania matematycznego na poziomie gimnazjum

A. Maciejak, P. Mosiek, W. Okrasiński, A. Sęk

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 131-144

Przedmiotem niniejszego opracowania jest przedstawienie doświadczeń edukacyjnych przy wprowadzaniu modelowania matematycznego w programie gimnazjum. Wieloetapowy projekt rozpoczęło kształcenie nauczycieli pod okiem specjalistów do edukacji matematycznej dla potrzeb przemysłu. Na etapie wdrażania kształcenia uczniowie maja pełne kursy ukierunkowane na rozwiązywanie problemów codziennych przez ich precyzyjny...

article

Z problematyki prawnych konsekwencji plagiatu naukowego

P. Ochman

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 145--162

Przedmiotem niniejszego opracowania będzie próba przedstawienia konsekwencji plagiatu naukowego w prawie polskim. Polski system prawny przewiduje bowiem z tego tytułu szereg sankcji, począwszy od sankcji cywilnoprawnych, administracyjno-prawnych, skończywszy na sankcjach karnoprawnych. Przedstawione zostaną również podstawowe kwestie terminologiczne, takie jak "utwór", "utwór naukowy...

article

Stochastic Orders and Ageing Classes

P. Miziuła

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 105-125

This article covers the knowledge of the recently used stochastic orders, ageing classes, and relations between them. Definitions and relations between particular stochastic orders are presented here. The paper also contains definitions (especially using stochastic orders), relations and closure properties of ageing classes. Closure properties are investigated here under five useful reliability operations:...

article

A Review of Bayesian Networks and Structure Learning

T. J. T. Koski, J. M. Noble

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 53-103

This article reviews the topic of Bayesian networks. A Bayesian network is a factorisation of a probability distribution along a directed acyclic graph. The relation between graphical d-separation and independence is described. A short article from 1853 by Arthur Cayley [8] is discussed, which contains several ideas later used in Bayesian networks: factorisation, the noisy ‘or’ gate, applications...

article

A Résumé on Interval Runge-Kutta Methods

A. Marciniak

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 39-52

The paper presents explicit and implicit interval methods of Runge-Kutta type. Such methods introduce the errors of methods. It means that this kind of errors are included in the interval solutions obtained. Applying these methods for solving the initial value problem in floating-point interval arithmetic we can obtain solutions in the form of intervals which contain all possible numerical errors...

article

On Spins and Genes

J. Miękisz, P. Szymańska

Mathematica Applicanda > 2012 > Vol. 40, No. 1 > 15-25

Many processes in natural and social sciences can be modeled by systems of interacting objects. It is usually very difficult to obtain analytic expressions describing time evolution and equilibrium behavior of such systems. Very often we rely only on computer simulations. Fortunately, in many cases one can construct useful approximation schemes and derive exact results which capture some specific...

article

O nauczaniu matematyki stymulowanym modelowaniem

R. Duda

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 39--41

Niniejsza notatka zawiera uwagi na temat artykułu Maciejak i inni [1] i projektu wdrażania modelowania matematycznego na poziomie gimnazjum, który ten artykuł opisuje. Swoje refleksje Autor spisał na prosbe Redakcji Mathematica Applicanda.

article

A Lost Opportunity : Recovering the End of Major League Baseball's 1994 Strike Shortened Season

Z. Hass, W.A. Woyczyński, C. Yanosko, E. Becker

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 13--31

The 1994 Major League Baseball (MLB) Season ended prematurely when the players went on strike on August 12th, due to a labor disagreement with team owners. This paper describes the model estimation for predicting the runs scored in each of the unplayed games and gives the results of 1,000 simulations. Of particular interest are the Cleveland Indians and the Montreal Expos. The Expos were on pace to...

article

Professor Ryszard Zieliński's contribution to Monte Carlo methods and random number generators. Uniform asymptotics in statistics

W. Niemiro

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 92--106

The aim of the paper is to summarize contributions of Ryszard Zieliński to two important areas of research. First, we discuss his work related to Monte Carlo methods. Ryszard Zieliński was particularly interested in Monte Carlo optimization. About 10 of his papers concerned stochastic algorithms for seeking extrema. He examined methods related to stochastic approximation, random search and global...

article

Koncepcja odporności według Ryszarda Zielińskiego. Odporność w modelach parametrycznych

A. Boratyńska

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 83–-92

The concept of robustness of statistical procedures is one of the most important subject in Zielinski's papers. In this article the development of the idea of robustness as introduced in Zielinski's papers is presented. The definitions of a supermodel and a robustness function are given. The problem of the robust estimation of a scale parameter in an exponential model and the robustness of tests for...

article

Ryszard Zieliński’s contribution to statistical optimization and fixed-precision estimation

M. Męczarski

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 107--111

Professor Ryszard Zieliński's results in stochastic approximation, extremal experimental design in the framework of response surface analysis and fixed-precision set estimation are outlined. First, he proposed a randomized version of Fabian's (1967) gradient estimate in the Kiefer-Wolfowitz procedure, which reduced the number of required observations and improved the rate of convergence. Second, when...

article

Prace Ryszarda Zielińskiego o nieparametrycznych estymatorach kwantyli i ich zastosowaniu w statystyce odpornej

T. Rychlik

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 65–-82

Celem tej przegladowej pracy jest opis wyników profesora Ryszarda Zielinskiego dotyczacych nieparametrycznych estymatorów kwantyli w skonczonych próbach oraz ich zastosowania w odpornej estymacji parametru połozenia. Główne przesłanie badan Zielinskiego było nastepujace: do estymacji kwantyli nalezy uzywac pojedynczych statystyk pozycyjnych, a juz ich liniowe kombinacje moga byc bardzo niedokładne...

article

Queueing system with on-demand number of servers

V. Mazalov, A. Gurtov

Mathematica Applicanda > 2012 > Vol. 40, No. 2 > 1--12

We consider a queuing system where the number of active serverschanges depending on the length of the queue. As a practical example ofsuch system, we consider the security check queue at the airports. Thenumber of active servers increases when the queue grows by k customersand decreases accordingly. That allows to save server resources whilemaintaining acceptable performance (average queuing time...

article

The predicting of the overall number of points in the Polish football league

D. Brzyski

Mathematica Applicanda > 2013 > Vol. 41, No. 1 > 33--45

In this paper we will discuss the issue of predicting the number of points gained at the end of the season by teams from the Polish football league. We will present and compare two models based on different approaches and show how their appropriate mixture improves the prediction accuracy. We shall use mean absolute error to measure a model’s fit.

article

Viability theory : an applied mathematics tool for achieving dynamic systems' sustainability

J. B. Krawczyk, A. S. Pharo

Mathematica Applicanda > 2013 > Vol. 41, No. 1 > 97--126

Sustainability is an issue of paramount importance, as scientists and politicians seek to understand what it means, practically and conceptually, to be sustainable. This paper’s aim is to introduce viability theory, a relatively young branch of mathematics which provides a conceptual framework that is very well suited to such problems. Viability theory can be used to answer important questions about...

article

On continuous time version of two-phase cell cycle model of Tyrcha

P. Zwoleński

Mathematica Applicanda > 2013 > Vol. 41, No. 1 > 13--31

We consider a model of two-phase cell cycle in a maturity-structured cellular population, which consists of a system of first order linear partial differential equations (transport equations). The model is based on similar biological assumptions as models of Lasota-Mackey, Tyson-Hannsgen and Tyrcha. We examine behavior of the solutions of the system along characteristics, give conditions for existence...

article

Mathematical modelling of tumour angiogenesis

J. Poleszczuk

Mathematica Applicanda > 2013 > Vol. 41, No. 1 > 1--12

Mathematical models are valuable tools for studying the underlying mechanisms of tumour progression. They enable us to explore possible radio-, chemo- and other various therapy combinations that until now have been only a promising hypotheses because of the huge costs of their clinical studies. Here we present a family of mathematical models of tumour angiogenesis, which give an accurate fit to biological...

article

Fuzzy calculus with applications

A. Chwastyk, W. Kosiński

Mathematica Applicanda > 2013 > Vol. 41, No. 1 > 47--96

The aim of the article is presenting the current state of ordered fuzzy numbers development. New model of fuzzy number was invented in 2002 to overcome drawbacks of classical (convex) fuzzy numbers. Two problems of management accounting are considered. The first relates to the management of supply and determining the optimal size of a delivery from outside, which minimize total costs, when unit costs...

Publication date

Last 3 years (16)

Close

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

From:

To:
Set your own date range

Year

2021 (4)
2020 (12)
2019 (21)
2018 (23)
2017 (8)
2016 (18)
2015 (18)
2014 (28)
2013 (8)
2012 (15)
more

Publication language

English (124)
Polish (39)

Keywords

MATEMATYKA STOSOWANA (13)
ZASTOSOWANIA MATEMATYKI (13)
APPLIED MATHEMATICS (12)
MATHEMATICAL STATISTICS (7)
OPTIMAL STOPPING (7)
SECRETARY PROBLEM (7)
STATYSTYKA MATEMATYCZNA (7)
PROBLEM SEKRETARKI (6)
DIFFERENTIAL EQUATIONS (5)
APPLICATION OF MATHEMATICS (4)
MODELOWANIE MATEMATYCZNE (4)
RÓWNOWAGA NASHA (4)
APPLIED STATISTICS (3)
BEST CHOICE PROBLEM (3)
GLOBAL STABILITY (3)
GLOBALNA STABILNOŚĆ (3)
GRA DYNAMICZNA (3)
MATHEMATICAL MODELLING (3)
NASH EQUILIBRIUM (3)
OPTIMAL STOPPING PROBLEM (3)
POISSON PROCESS (3)
PROBLEM STOPOWANIA (3)
PROBLEM WYBORU NAJLEPSZEGO OBIEKTU (3)
PROCES POISSONA (3)
RÓWNANIA RÓŻNICZKOWE (3)
SPRAWIEDLIWY PODZIAŁ (3)
STABILITY ANALYSIS (3)
STATYSTYKA STOSOWANA (3)
ALGORITHM (2)
ANALIZA STABILNOŚCI (2)
ANALIZA WRAŻLIWOŚCI (2)
ANGIOGENESIS (2)
ANGIOGENEZA (2)
APPLIED MATHEMATICS CONFERENCE (2)
APROKSYMACJA DE VYLDERA (2)
ATR (2)
BATS (2)
BAYESIAN INFORMATION CRITERION (2)
BAYESOWSKIE KRYTERIUM INFORMACYJNE (2)
CAKE CUTTING (2)
COMMITTEE OF MATHEMATICS OF POLISH ACADEMY OF SCIENCES (2)
DE VYLDER APPROXIMATION (2)
DELAY DIFFERENTIAL EQUATIONS (2)
DOMINACJA (2)
DYNAMIC GAME (2)
ESTIMATION (2)
ESTYMACJA (2)
ESTYMATOR BAYESOWSKI (2)
FLOC (2)
GENETYKA STATYSTYCZNA (2)
GIMNAZJUM (2)
GRA O SUMIE ZEROWEJ (2)
HUBER'S FUNCTION (2)
INFEKCJA WIRUSOWA (2)
KOMITET MATEMATYKI POLSKIEJ AKADEMII NAUK (2)
KONFERENCJA ZASTOSOWAŃ MATEMATYKI (2)
LOCAL STABILITY (2)
LOKALNA STABILNOŚĆ (2)
LÉVY PROCESS (2)
MARKOV PROCESS (2)
MARKOVIAN ARRIVAL PROCESS (2)
MATEMATYKA (2)
MATHEMATICS (2)
MODEL MATEMATYCZNY (2)
MODEL SELECTION (2)
MODEL STATYSTYCZNY (2)
MODELING (2)
MODELOWANIE STOCHASTYCZNE (2)
MOMENT AERODYNAMICZNY (2)
MOMENT GRAWITACYJNY (2)
MULTIPLE STOPPING (2)
MULTIVARIATE NORMAL MODEL (2)
NUMERICAL METHODS (2)
NUMERICAL SIMULATIONS (2)
OPTYMALNE ZATRZYMANIE (2)
OPTYMALNE ZATRZYMANIE PROCESU (2)
OPTYMALNY PODZIAŁ PRZESTRZENI MIERZALNEJ (2)
OSCYLACJE HARMONICZNE (2)
OSCYLACJE NIELINIOWE (2)
OSCYLACJE SWOBODNE (2)
P53 (2)
PIECEWISE DETERMINISTIC MARKOV PROCESSES (2)
PODZIAŁ TORTU (2)
POLIFILETYCZNY ROZWÓJ NACZELNYCH (2)
POPULATION (2)
PROBLEM OPTYMALNEGO WIELOKROTNEGO ZATRZYMANIA (2)
PROCES GAŁĄZKOWY (2)
PROCES KSZTAŁCENIA (2)
PROCES MARKOWA (2)
PROCES ORNSTEINA-UHLENBECKA (2)
PROCES WYCHOWANIA (2)
PROPORCJE CZASZKI JAKO WYKŁADNIK EWOLUCJI MAŁP (2)
QUANTITATIVE TRAIT LOCI (2)
QUEUEING (2)
REFORMA EDUKACJI (2)
REZONANS (2)
ROBUSTNESS (2)
ROZKŁAD STABILNY (2)
ROZMAITOŚCI KONFIGURACJI (2)
ROZWIĄZANIA PRZYBLIŻONE (2)
more

INFONA - science communication portal

Mathematica Applicanda

Localizing Influential Genes with Modified Versions of Bayesian Information Criterion

What Can a Mathematician do in Neuroscience?

U progu zmiany paradygmatu myślenia o edukacji matematycznej - casus wdrażania modelowania matematycznego na poziomie gimnazjum

Z problematyki prawnych konsekwencji plagiatu naukowego

Stochastic Orders and Ageing Classes

A Review of Bayesian Networks and Structure Learning

A Résumé on Interval Runge-Kutta Methods

On Spins and Genes

O nauczaniu matematyki stymulowanym modelowaniem

A Lost Opportunity : Recovering the End of Major League Baseball's 1994 Strike Shortened Season

Professor Ryszard Zieliński's contribution to Monte Carlo methods and random number generators. Uniform asymptotics in statistics

Koncepcja odporności według Ryszarda Zielińskiego. Odporność w modelach parametrycznych

Ryszard Zieliński’s contribution to statistical optimization and fixed-precision estimation

Prace Ryszarda Zielińskiego o nieparametrycznych estymatorach kwantyli i ich zastosowaniu w statystyce odpornej

Queueing system with on-demand number of servers

The predicting of the overall number of points in the Polish football league

Viability theory : an applied mathematics tool for achieving dynamic systems' sustainability

On continuous time version of two-phase cell cycle model of Tyrcha

Mathematical modelling of tumour angiogenesis

Fuzzy calculus with applications

Filter options

Publication date

Year

Publication language

Keywords

INFONA - science communication portal

Mathematica Applicanda

Add recipient

Sending message cancelled

Are you sure you want to cancel sending this message?

Send message

Filter options

Publication date

Date range setting

Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.

Year

Publication language

Keywords

Reporting an error / abuse

Sending the report failed

Accessibility options