Editors-in-Chief
Prof. Valeri Mladenov
Techn.Univ. of Sofia, Bulgaria
Nikos Mastorakis
Techn.Univ. of Sofia, Bulgaria
Editorial Board
Prof. Joseph Sifakis, CNRS/Verimag, FRANCE
Prof. Lotfi A. Zadeh,
University of California, Berkeley, CA, USA
Prof. Leon O. Chua, |
University of California, Berkeley, CA, USA
Prof. K. R. Rao,
University of Texas at
Arlington, TX, USA
Prof. Biswa N. Datta, Northern Illinois University, USA
Prof. Irwin Sandberg, The University of Texas at Austin, USA
Prof. P. Pardalos, University of Florida, USA
Prof. A. Manikas, Imperial College, UK
Prof. T. Kaczorek, Warsaw University of Technology, POLAND
Prof. Wlodzislaw Duch,
Nicolaus Copernicus
University, POLAND
Prof. Sidney Burrus, Rice University, USA
Prof. Leonid G. Kazovsky, Stanford University,
USA
Prof. Georgios B. Giannakis, University of Minnesota,
USA
Prof. Nikolaos G. Bourbakis, Wright State University,
USA
Prof. Ryszard S. Choras, University of Technology &
Life Sciences, POLAND
Prof. Wasfy B. Mikhael, University of Central Florida, USA
Prof. M. Kostic,
Northern Illinois University,
USA
Prof. A. Venetsanopoulos, University of Toronto, Canada
Prof. K. Benra,
University of Duisburg-Essen,
GERMANY
Prof. S. Sohrab,
Northwestern University,
USA
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Topics
Mathematical logic.
Probability
Statistics
Combinatorics,
Discrete Mathematics
Numerical Analysis Computational sciences
Applied Functional Analysis. Differential Geometry
Systems Theory
Computational Geometry
Control Theory
Numerical ODEs
Numerical PDEs
Scientific Computing and Algorithms
Stochastic Diff. Equations
Approximation Theory
Numerical Linear Algebra Numerical Integral Equations Error Analysis
and
Interval Analysis
Difference Equations and Recurrence Relations
Algorithms & Computational Complexity
Computational Intelligence
Artificial Intelligence
Dynamical Systems Computational Physics Computational Statistics
Computational Chemistry Computational Engineering Mathematical
Biology Mathematical Medicine
Fluid mechanics - Heat
and Mass Transfer
Theoretical Mechanics
Optimization and
Operational Research
Other Applications to the
Sciences
|
ISSN: 1998-0159
FORMAT: Format (.doc) or
Format (LaTeX)
JOURNALS' POLICY
TOPICS
All
papers of the journal were peer reviewed by two independent
reviewers. Acceptance was granted when both reviewers'
recommendations were positive.
Previous Volumes:
2007 2008
2009 2010
2011
Paper
Title, Authors, Abstract (Issue 1, Volume 6, 2012) |
Pages |
RRTs Review and Statistical
Analysis
Ahmad Abbadi, Radomil Matousek
Abstract: Path planning is one of the
important issues in robotics area. There are many
ideas to deal with this issue one of them is RRT
(Rapidly Exploring Random Tree). This method is not
optimal but it reduces the time needed for obtaining
solutions. This algorithm is based on portability,
the result of this algorithm is a tortuous path
which has a lot of useless points. In this paper we
introduce some variants of RRTs and a method for
reduce a degree of tortuous, making the path shorter
and omitting useless points. Also because of RRT’s
randomizes we make some statistical test on many
variations of RRT, to make decisions about the best
variations.
|
1-8 |
An Idea for Finding the
Shortest Driving Time Using Genetic Algorithm Based
Routing Approach on Mobile Devices
Umit Atila, Ismail Rakip Karas, Cevdet Gologlu,
Beyza Yaman, Ilhami Muharrem Orak
Abstract: People‘s orientation to the mobile
devices all over the world have made the using of
route guidance systems that assist drivers on the
traffic widespread in daily life. For an effective
routing, these systems should take into account the
effectual factors of traffic flow such as allowable
velocity limits of the roads and density. The
computational cost of the system is up to the amount
of nodes in road network and effectual factors. When
we consider the road networks with excessive number
of nodes, finding the exact routes in real time
using some well known deterministic methods such as
Dijkstra‘s algorithm on such routing systems may not
be accurate using mobile devices with limited memory
capacity and processing speed. In this paper, a
Genetic Algorithm (GA) approach applied on a route
guidance system for finding the shortest driving
time is proposed. A different gene search approach
on crossover operation named ―first-match-genes‖ had
been introduced. A mobile application for the
traffic network of Ankara and the performance of the
genetic algorithm tested on networks with 10, 50,
250, 1000 nodes was presented.
|
9-16 |
Measuring IT Governance
Performance: A Research Study on CobiT- Based
Regulation Framework Usage
Mario Spremic
Abstract: After explaining the Information
Technology (IT) governance concept and external and
national regulation, in this paper we investigate if
the prescribed regulatory requirements and regular
information system (IS) audits affect the IT
Governance initiatives and foster strategic
business/IT alignment. External and especially
national IT Governance regulation framework in the
Republic of Croatia was explained in further
details. We constructed the research model around IT
Governance components and conducted the research by
the series of long-lasting comprehensive in-depth
interviews with responsible employees. On the sample
of selected Croatian small banks, the organizational
position and the role of IT in the business has been
investigated, while specific research interest was
to get the clear view of the maturity level of IT
usage. We hoped that such approach could be useful
when trying to answer the posed research question:
can national IT Governance regulatory framework help
to start to measure IT Governance maturity and are
such initiatives helpful in aligning IT and
business?
|
17-25 |
A New Standard Uptake Values
(SUV) Calculation based on Pixel Intensity Values
Somphob Soongsathitanon, Pawitra Masa-Ah, Malulee
Tuntawiroon
Abstract: Positron Emission Tomography (PET)
is one of the major cancer imaging tools for both
diagnosis and staging. The prognostic significant
parameter for PET scan is Standard Uptake Values
(SUV). The SUV can be used as a tool to supplement
the visual interpretation for physician. However the
SUV can not be calculated without the vendor’s
application software. In order to calculate the SUV
without the vendor’s application software, a new
standard uptake values (SUV) calculation scheme
based on image intensity has been introduced. This
new scheme is tested by using 108 slices of DICOM
files obtained from 11 patients (8 men, 3 women).
The comparative study between this scheme and the GE
Xeleris workstation has been done and the results
showed that the correlation between the two systems
is statistically significant with a 99% confidence
interval. The average percentage of accuracy is 85%
for the report at a 95% confidence interval. So this
scheme can be used as an alternative tool to
calculate the SUV and it can be installed in any
computers.
|
26-33 |
Rectification Column -
Mathematical Modeled and Computer Simulated Real
System
S. Hubalovsky
Abstract: One of the most important methods
in current scientific and technological research is
process of modeling and simulation of real
experiment as well as modeling and simulation of
real experimental device. System approach, modeling
and simulation are discipline with its own theory
and research methodology. The paper focuses to the
theory of the process of modeling and simulation,
visualization and model validation and verification
of real experiment and experimental device.
Multidisciplinary approach is point out too. Step by
step there will be shown the process of creation of
static and dynamic mathematical model of the real
experimental device – seven storey rectification
column. Mathematical model is supplemented the
simulation model written in Visual Basic for Excel.
Visualization is a part of the simulation model.
Validation of the mathematic model as well as
verification of the simulation model is shown in the
paper too.
|
34-45 |
Mixing of Two Different
Temperature Water Flows as Feedback Controlled
System Mathematically Modeled and Simulated in MS
Excel Spreadsheet
S. Hubalovsky
Abstract: One of the most important methods
in current scientific and technological research is
process of modeling and simulation of real
experiment as well as modeling and simulation of of
feedback regulated systems. System approach,
modeling and simulation are discipline with its own
theory and research methodology. The paper focuses
to the theory of the process of modeling and
simulation, visualization of feedback controlled
system. Multidisciplinary approach is point out too.
Step by step there will be shown the process of
creation of static, dynamic and feedback controlled
mathematical model. Mathematical model is
supplemented by the simulation model realized in MS
Excel spreadsheet. Visualization of the simulation
model is realized in MS Excel XY chart.
|
46-57 |
The Averaging Model of a
Six-Pulse Diode Rectifier Feeding Paralleled Buck
Converters
T. Sopaprim, K-N. Areerak, K-L. Areerak
Abstract: Power converter models are
time-varying in nature because of their switching
behaviors. This paper presents the averaging methods
called DQ and generalized state-space averaging
modeling methods that are used to eliminate the
switching actions to achieve the time-invariant
models. The DQ modeling method is used to analyze
the dynamic model of a three-phase rectifier
including the transmission line on AC side, while
the generalized state-space averaging modeling
method is applied to derive the dynamic model of a
buck converter. Intensive time-domain simulations
via the wellknown software packages with the exact
topology models are used to validate the proposed
models. The simulation results show that the
proposed mathematical models provide high accuracies
in both transient and steady-state responses. The
reported models require the very fast simulation
time compared with the full topology model of
commercial software packages. Therefore, the
averaging model is suitable for the system design
via the searching algorithms in which the repeating
calculation is needed during the searching process.
|
58-65 |
Using NARX Model with Wavelet
Network to Inferring the Polished Rod Position
Emanuel Cajueiro, Ricardo Kalid, Leizer Schnitman
Abstract: Although several studies have been
conducted on the sucker-rod pumping system, even
today, the acquisition of the polished rod position
is carried out by using position transducers. In
this paper, we present experimental results showing
that the dynamic position of the polished rod can be
inferred from the torque current ofa three-phase
induction motor (which is given by sensorless vector
AC-drive) using nonlinear autoregressive model with
exogenous input (NARX) with wavelet network
(wavenet). The results obtained in the validation
stage show that, on the basis of the experimental
set used in this work, the best estimated model is
suitable to represent the dynamic behavior of the
polished-rod of the pumping unit.
|
66-73 |
Influence of Raster Data
Quality on Spatial Modelling and Analyses
Jitka Komarkova, Pavel Sedlak, Martin Jedlicka,
Lucie Horakova, Petr Sramek, Jana Hejlova
Abstract: A good decision making is partially
based on a good quality of data and/or information
provided by information systems. Without input data
at an appropriate level of quality, information
systems cannot provide quality information.
Therefore, many standards and data quality models
have been developed. Later on, spatially oriented
decision-making have become more important, so
attention was focused on spatial data too. Quality
evaluation of spatial data requires special
standards because of the special properties of
spatial data. The contribution is mainly focused on
raster data models. At first, a brief description of
spatial data quality evaluation is provided. Then, a
set of quality characteristics and parameters for
raster data within the framework of existing ISO
standards is proposed. Finally, the proposed set is
used to evaluate two example data sets and several
practical examples connected to the raster data
quality and its influence on spatial modelling are
described.
|
74-82 |
A Software for Calculation of
Optimum Conditions for Cotton, Viscose, Polyester
and Wool Based Yarn Bobbins in a Hot-Air Bobbin
Dryer
H. Kuşçu, K. Kahveci, U. Akyol, A. Cihan
Abstract: In this study, a software has been
developed to predict the optimum drying conditions
of viscose, wool, polyester and cotton based yarn
bobbins for drying in a pressurized hot air dryer.
For this purpose, firstly, a suitable drying model
has been found in defining the drying behavior of
bobbins using the experimental drying behavior.
After that, additional regression analyses have been
made to take into account the effect of the drying
parameters on drying. Then, a software has been
developed using Visual Basic programming language.
With the aid of this software, optimum drying
conditions for drying time and energy consumption
can be obtained for the cotton, viscose, polyester
and wool based yarn bobbins.
|
83-90 |
Optimization of Digital Image
Watermarking Scheme Using Artificial Intelligent
Technique
P. Kumsawat, K. Pasitwilitham, K. Attakitmongcol, A.
Srikaew
Abstract: In this paper, a robust image
watermarking scheme for copyright protection of
electron microscope image is proposed. The watermark
insertion and watermark extraction are based on
quantization index modulation technique and does not
need the original image in the watermark extraction
process. We have developed an optimization technique
using the genetic algorithms to search for optimal
quantization steps to improve the quality of
watermarked image and robustness of the watermark.
In addition, we construct a prediction model based
on image moments and back propagation neural network
to correct an attacked image geometrically before
the watermark extraction process begins.
Experimental results demonstrate that the proposed
algorithm can achieve good perceptual invisibility
and security, and it is also robust against various
image processing attacks.
|
91-98 |
Planning Algorithm and its
Modifications for Tactical Decision Support Systems
Petr Stodola, Jan Mazal
Abstract: This paper is divided into the two
main parts. The first part deals with a planning
algorithm being used in tactical decision support
systems, which has been developed at the University
of Defence in Brno. In the first part, there is
presented improved versions of the original
algorithm which are demonstrated while searching for
an optimal path for a ground autonomous robot in a
general environment. The article shows two different
approaches for the algorithm improvement, along with
their basic principles. The possibilities of the
improvement are analyzed on two particular examples
and the results of the new versions are compared
with the original algorithm. In the second part, the
article presents the issue of tactical decision
support systems. The state of development of these
systems is presented here, along with an example of
their utilization.
|
99-106 |
Modeling and Computer
Simulation of Real Process – Solution of Mastermind
Board Game
Stepan Hubalovsky
Abstract: One of the most important methods
in current scientific and technological research as
well as in research of strategy algorithm and
programming is modeling and computer simulation of
real systems and real processes. System approach,
modeling and simulation are discipline with its own
theory and research methodology. The paper focuses
to the theory of modeling, simulation,
visualization, model validation and verification of
feedback controlled real process – solution of the
Mastermind board game. Multidisciplinary approach is
point out too. Step by step there will be shown the
process of system identification, mathematical
analysis and strategy of the solution. Conceptual
model of the process is realized by process chart.
Conceptual model is supplemented by the simulation
model realized in Visual Basic for Excel.
Visualization is a part of the simulation model.
Validation of the conceptual model as well as
verification of the simulation model is shown in the
paper too.
|
107-118 |
Robust Autocorrelation Testing
in Multiple Linear Regression
Lim Hock Ann, Habshah Midi
Abstract: It is very essential to detect the
autocorrelation problem due to its responsibility
for ruining the important properties of Ordinary
Least Squares (OLS) estimates. The Breusch-Godfrey
test is the most commonly used method for
autocorrelation detection. However, not many
statistics practitioners aware that this test is
easily affected by high leverage points. In this
paper, we proposed a new robust Breusch-Godfrey test
which is resistant to the high leverage points. The
results of the study signify that the robustified
Breusch-Godfrey test is very powerful in the
detection of autocorrelation problem with and
without the presence of high leverage points.
|
119-126 |
Algoritmization of the
Information Concept of the Complex Logistic System
Robert Bucki, Bronislav Chramcov, Roman Jašek
Abstract: The paper highlights the vital
problem of information mathematical modelling of the
logistic system. The complex system itself consists
of identical parallel manufacturing subsystems in
which there is a manufacturing route arranged in a
series of stands. Each stand is equipped with a
machine with the dedicated tool. There are
interoperation buffer stores between subsequent
production stands. After getting worn out, certain
tools require regeneration. Used tools from the
identical production stands share the same
regeneration plant. Irreplaceable tools need to be
exchanged for new ones. The replaceable tool can be
regenerated a certain number of times. The
production process is optimized by means of the
stated criteria respecting defined bounds. There is
a set of control approaches of which the most
effective one is to be chosen in order to either
maximize the production output or minimize the lost
flow capacity or, finally, minimize the total tool
replacement time. The logistic system is controlled
by a determined heuristic algorithm. There are also
given sub-line heuristic algorithms. Equations of
state illustrate the flow of charge material and
changes of the order vector elements. Manufacturing
strategies allow us to decide which approach will be
implemented. Moreover, optimization issues are
discussed by means of introducing the multi-stage
process model.
|
127-135 |
Characterization of Electronic
Circuit Elements by Exclusive and Corrective
Artificial Neural Networks
Ladislav Pospisil, Josef Dobes, Abhimanyu Yadav
Abstract: At present, there are many novel
electronic circuit elements for which their
nonlinear models for CAD are necessary, especially
for microwave ones. However, in the PSpice-family
programs, only a class of several classic types of
the MESFET model is available for the microwave
area. In the paper, a novel reliable way is
suggested for modeling various electronic structures
by exclusive neural networks, or by corrective
neural networks working attached to a modified
analytic model. The accuracy of the proposed
modification of the analytic model is assessed by
extracting the model parameters of GaAs MESFET,
AlGaAs/InGaAs/GaAs pHEMT, and GaAs microwave
varactors. First, a precise approximation of the
pHEMT output characteristics is carried out by means
of both exclusive and corrective artificial neural
networks; and second, an approximation of the
capacitance (C-V) function of the SACM InGaAs/InP
avalanche photodiode is performed by the exclusive
neural network. Further, the Pt−TiO2−x −Pt memristor
characteristic with an extraordinary (but typical)
hysteresis is approximated by a set of cooperative
artificial neural networks, because a single network
is unable to characterize this especial element.
Last, a sequence of systematic experiments is
performed, which shows that the optimal structure of
the network can be found relatively easily, and it
should not be too complicated.
|
136-143 |
Simulation of Molecular Ring
Emission Spectra: Localization of Exciton States and
Dynamics
David Zapletal, Pavel Herman
Abstract: Computer simulation of steady state
fluorescence spectra of the ring molecular system is
presented in this paper. The cyclic antenna unit LH2
of the bacterial photosystem from purple bacterium
Rhodopseudomonas acidophila can be modeled by such
system. Three different models of uncorrelated
static disorder are taking into account in our
simulations: Gaussian disorder in local excitation
energies, Gaussian disorder in nearest neighbour
transfer integrals and Gaussian disorder in radial
positions of molecules in the ring. Dynamic
disorder, interaction with a bath, is also included
in Markovian approximation. The cumulant-expansion
method of Mukamel et al. is used for the calculation
of spectral responses of the system with
exciton-phonon coupling. The peak position of single
ring spectra and localization of exciton states
depend on realization of static disorder and is also
influenced by dynamic disorder. We discuss different
types of exciton dynamics too, that are coupled to
above mentioned effects and compare the results in
that the dynamic disorder is taken into account with
the results without dynamic disorder.
|
144-152 |
Does the Higher Order Mean the
Better Internal Delay Rational Approximation?
Libor Pekař, Eva Kurečková
Abstract: The aim of this contribution is to
test by simulations whether the higher order
rational approximation for exponential elements in
linear time-invariant time-delay systems (LTI-TDS)
automatically means the better (i.e. more accurate)
finite dimensional approximating model. The
presented approximations are utilized to the Laplace
transfer function model in the form of fractions of
so-called quasipolynomials and the methods are
chosen so that they are easy to handle with. Namely,
Padé approximation, shift operator approximations –
Laguerre and Kautz shift - and Fourier analysis
based method are introduced and benchmarked. The
work is motivated i.a. by the fact that direct
controller design for LTI-TDS based on such models
is mostly rather intricate and there are no
theoretical results for internal delays. Moreover,
the authors intend to use the results for
rationalization of so-called anisochronic
controllers when their discretization. The quality
of approximation is measured by the well known H2
and H∞ norms instead of exact analytic calculations
since it is sufficient for practical engineering
problems. Some simulation examples for anisochronic
controllers by means of a developed program testing
interface in Matlab-Simulink environment are
presented as well.
|
153-160 |
Various Approaches to Solving
an Industrially Motivated Control Problem: Software
Implementation and Simulation
Radek Matušů, Roman Prokop
Abstract: The main aim of this paper is to
present various approaches to solving an
industrially motivated control problem, especially
from the viewpoint of implementation of control
algorithms into the Matlab and Pascal environment.
The motivation and basic conditions of the
application have been based on real technical
assignment of a manufacturer of aluminium-based
rolled products and packaging materials. The primary
part of the work deals with selected digital
self-tuning controllers where the applied methods
comprise a polynomial approach to discrete-time
control design and recursive least-squares
identification algorithm LDDIF. Subsequently, two
alternative approaches were analyzed, namely control
using continuous-time regulator with fixed
parameters and usage of delta approach in
self-tuning control.
|
161-168 |
Prediction of Heat Consumption
Parameters in Distribution Network
Lubomir Vasek, Viliam Dolinay, Erik Kral
Abstract: This article analyses methods used
typically for controlling the processes in the
distribution system of heat energy in the urban
agglomeration (SHDC - System of Heat Distribution
and Consumption). The key problem in this
controlling mechanism consists in transport delay of
transferring heat media. Therefore the control
mechanism must operate in prediction kind of mode.
The two control parameters, or control variables,
are temperature of heat carrier and its flow rate.
Their time behavior must be predicted for efficient
control of the whole heat energy supply. There are
many methods used for this prediction. They are
briefly described, classified and analyzed in this
paper. In more details there are described the
methods, developed by authors, which combined
procedures for mathematical analysis of historical
production data and procedures for modeling of
physical features in SHDC. For modeling simulation
models are used. Further the results of practical
experiments reached with described methods in the
concrete real heat distribution system are
presented.
|
169-176 |
DoS Attacks Targeting SIP
Server and Improvements of Robustness
M. Voznak, J. Safarik
Abstract: The paper describes the
vulnerability of SIP servers to DoS attacks and
methods for server protection. For each attack, this
paper describes their impact on a SIP server,
evaluation of the threat and the way in which they
are executed. Attacks are described in detail, and a
security precaution is made to prevent each of them.
The proposed solution of the protection is based on
a specific topology of an intrusion protection
systems components consisting of a combination of
Snort, SnortSam and Iptables applications, the
solution was verified in experiments. The
contribution of this paper includes the performed
comparison of the DoS attacks’ efficiency which were
tested both without any protection and then with
implemented Snort and SnortSam applications as
proposed in our solution.
|
177-184 |
Implementation and Performance
of an Object-Oriented Software System for Cuckoo
Search Algorithm
Nebojsa Bacanin
Abstract: Evolutionary computation (EC)
algorithms have been successfully applied to hard
optimization problems. In this very active research
area one of the newest EC algorithms is a cuckoo
search (CS) metaheuristic for unconstrained
optimization problems which was developed by Yang
and Deb in MATLAB software. This paper presents our
software implementation of CS algorithm which we
called CSApp. CSApp is an object-oriented system
which is fast, robust, scalable and error prone.
User friendly graphical user interface (GUI) enables
simple adjustment of algorithm’s control parameters.
The system was successfully tested on standard
benchmark functions for unconstrained problems with
various number of parameters. CSApp software, as
well as experimental results are presented in this
paper.
|
185-193 |
Hybridizing Artificial Bee
Colony (ABC) Algorithm with Differential Evolution
for Large Scale Optimization Problems
Nadezda Stanarevic
Abstract: Artificial bee colony (ABC) and
differential evolution (DE) are two metaheuristics
used for hard optimization problems. In this paper,
a novel method called DEM-ABC is proposed to improve
the exploitation process in ABC algorithm. The
method combines differential evolution mutation
strategies with original ABC algorithm for improving
its convergence and performance. The proposed
approach was tested by using a set of well-known
large-scale unconstrained benchmarks problems.
Comparisons show that DEM-ABC outperforms or
performs similarly as the original ABC algorithms in
terms of the quality of the resulting solutions.
|
194-202 |
Assessing User Acceptance
toward Blog Technology Using the UTAUT Model
Bens Pardamean, Mario Susanto
Abstract: Blogs are among the many commonly
used technologies for education and learning. They
are also both conversational technologies and
constructivist learning tools. Their interactive,
collaborative, user-friendly, and instant archival
features have transformed blogs into effective tools
for enhancing case-based teaching methods in the
asynchronous nature of the online environment. This
study investigated the student populace’s acceptance
of the blog technology through the Unified Theory of
Acceptance and Use of Technology (UTAUT) framework.
UTAUT integrates eight theories from social
psychology and sociology in order to examine the
effects of major factors on behavioral intention and
actual use of blog to learn e-business course
materials and topic discussions. The results showed
that both social influence and performance
expectancy had a significant relationship with
behavioral intention, whereas effort expectancy did
not. In this study, behavioral intention did not
have a significant relationship with actual usage
level of blogs as a learning tool.
|
203-212 |
Calculation and Visualisation
of Radar Protection Zone
Jan Hovad, Jitka Komarkova, Pavel Sedlak, Martin
Tulacka
Abstract: Radar is a very important device,
e.g. for flight control. In the case, the airport is
located close to the settlement, it can influence
people living there. Identification of radar
protection zone and its intersection with
surrounding buildings are useful spatial analyses
which can support decision-making both in public
administration and personal life of people. Proper
visualization of analyses results is a very
important step which helps people to understand the
results. A possible way how to model radar
protection zone, surrounding buildings and how to
identify their intersection is described in the
article. A strong attention is paid to the final
visualisation of obtained results. ArcGIS Desktop,
ArcScene, Google SketchUp and 3ds Max were used as
software tools.
|
213-221 |
About Fibonacci Numbers and
Functions
Alina Bărbulescu
Abstract: Fibonacci numbers and functions are
topics of major interest in mathematics, due to the
importance of their applications in many sciences.
In the first part of this article we present some
congruences involving Fibonacci and Lucas numbers.
In the second one we discuss the dimensions of the
Fibonacci numbers, defined on different closed
intervals, starting with the evaluation of the Box
dimension of this function defined on [0, 1].
|
222-229 |
Mathematical Foundations and
Principles in Practice of Computer Aided Design
Simulation
J. Sedivy, S. Hubalovsky
Abstract: Today, programs for technical
modeling are used in almost every field or industry.
We see them in technical industries as well as in
our everyday life and even in areas where we would
never expect to see them. It generally replaces the
creativity and imagination of the designer, and in
many cases it helps determine collision situations
and points during the creation of new products. As
these programs recently became less expensive and
therefore may be obtained more easily, computer
graphic design is also being used in practical
training, during regular classes as well as for the
preparation of studying materials.
|
230-237 |
|
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2007 2008
2009 2010
2011
Copyrighted Material NAUN www.naun.org
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