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    Tytuł:
    Fractal analysis of sandstone pore space geometry
    Autorzy:
    Figiel, M.
    Lewandowska-Śmierzchalska, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/298840.pdf
    Data publikacji:
    2018
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    pore space
    fractal structure
    fractal dimension
    lacunarity
    thin-section
    computer image analysis
    Opis:
    Fractal analysis is currently one of the fastest evolving branches of science. Numerous objects in nature exhibit a fractal structure. Additionally, the vast majority of rocks – especially reservoir rocks – take the form of a fractal. Computer image analysis based on thin-section images has been used for examining the fractal structure of pore spaces, directly applying the definition of the fractal box-counting dimension. For the examined sandstone sample, thin sections were made and photographed, and the corresponding values of the fractal dimension and lacunarity were calculated. Each of the photos was encompassed by porosity that was calculated based on the number of pixels. Furthermore, the volatility of the fractal dimension and lacunarity were studied as well as their relationships with the porosity. A correlation analysis between the fractal parameters and the porosity was carried out. The results were compared with the data obtained from a mercury porosimetry of the same sample of sandstone.
    Źródło:
    AGH Drilling, Oil, Gas; 2018, 35, 2; 377-389
    2299-4157
    2300-7052
    Pojawia się w:
    AGH Drilling, Oil, Gas
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Delivery-flow routing and scheduling subject to constraints imposed by vehicle flows in fractal-like networks
    Autorzy:
    Bocewicz, G.
    Banaszak, Z.
    Nielsen, I.
    Powiązania:
    https://bibliotekanauki.pl/articles/229533.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    transport network
    fractal structure
    declarative modeling
    multimodal processes
    delivery flow
    vehicles flow
    Opis:
    The problems of designing supply networks and traffic flow routing and scheduling are the subject of intensive research. The problems encompass the management of the supply of a variety of goods using multi-modal transportation. This research also takes into account the various constraints related to route topology, the parameters of the available fleet of vehicles, order values, delivery due dates, etc. Assuming that the structure of a supply network, constrained by a transport network topology that determines its behavior, we develop a declarative model which would enable the analysis of the relationships between the structure of a supply network and its potential behavior resulting in a set of desired delivery-flows. The problem in question can be reduced to determining sufficient conditions that ensure smooth flow in a transport network with a fractal structure. The proposed approach, which assumes a recursive, fractal network structure, enables the assessment of alternative delivery routes and associated schedules in polynomial time. An illustrative example showing the quantitative and qualitative relationships between the morphological characteristics of the investigated supply networks and the functional parameters of the assumed delivery-flows is provided.
    Źródło:
    Archives of Control Sciences; 2017, 27, 2; 135-150
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Prediction of CEC using fractal parameters by artificial neural networks
    Autorzy:
    Bayat, H.
    Davatgar, N.
    Jalali, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/25675.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Instytut Agrofizyki PAN
    Tematy:
    cation exchange capacity
    prediction
    fractal structure
    fractal theory
    particle size distribution
    artificial neural network
    pedotransfer function
    Opis:
    The prediction of cation exchange capacity from readily available soil properties remains a challenge. In this study, firstly, we extended the entire particle size distribution curve from limited soil texture data and, at the second step, calculated the fractal parameters from the particle size distribution curve. Three pedotransfer functions were developed based on soil properties, parameters of particle size distribution curve model and fractal parameters of particle size distribution curve fractal model using the artificial neural networks technique. 1 662 soil samples were collected and separated into eight groups. Particle size distribution curve model parameters were estimated from limited soil texture data by the Skaggs method and fractal parameters were calculated by Bird model. Using particle size distribution curve model parameters and fractal parameters in the pedotransfer functions resulted in improvements of cation exchange capacity predictions. The pedotransfer functions that used fractal parameters as predictors performed better than the those which used particle size distribution curve model parameters. This can be related to the non-linear relationship between cation exchange capacity and fractal parameters. Partitioning the soil samples significantly increased the accuracy and reliability of the pedotransfer functions. Substantial improvement was achieved by utilising fractal parameters in the clusters.
    Źródło:
    International Agrophysics; 2014, 28, 2
    0236-8722
    Pojawia się w:
    International Agrophysics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Multifractal approach in pattern recognition of an announcer’s voice
    Multifraktalnyjj podkhod v zadachakh raspoznavanija golosa diktora
    Autorzy:
    Solovyov, V.
    Byelozorova, Y.
    Powiązania:
    https://bibliotekanauki.pl/articles/792602.pdf
    Data publikacji:
    2014
    Wydawca:
    Komisja Motoryzacji i Energetyki Rolnictwa
    Tematy:
    experimental research
    multi-fractal structure
    vowel phoneme
    pattern recognition
    radio announcer
    voice
    speech
    recognition system
    Źródło:
    Teka Komisji Motoryzacji i Energetyki Rolnictwa; 2014, 14, 2
    1641-7739
    Pojawia się w:
    Teka Komisji Motoryzacji i Energetyki Rolnictwa
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Structure fractals and para-quaternionic geometry
    Autorzy:
    Ławrynowicz, Julian
    Vaccaro, Massimo
    Powiązania:
    https://bibliotekanauki.pl/articles/747163.pdf
    Data publikacji:
    2011
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    Fractal
    quaternion
    para-quaternion
    Clifford structure
    para-quaternionic structure
    bilinear form
    quadratic form
    Opis:
    It is well known that starting with real structure, the Cayley-Dickson process gives complex, quaternionic, and octonionic (Cayley) structures related to the Adolf Hurwitz composition formula for dimensions \(p = 2, 4\) and \(8\), respectively, but the procedure fails for \(p = 16\) in the sense that the composition formula involves no more a triple of quadratic forms of the same dimension; the other two dimensions are \(n = 2^7\). Instead, Ławrynowicz and Suzuki (2001) have considered graded fractal bundles of the flower type related to complex and Pauli structures and, in relation to the iteration process \(p \to p + 2 \to p + 4 \to ...\), they have constructed \(2^4\)-dimensional “bipetals” for \(p = 9\) and \(2^7\)-dimensional “bisepals” for \(p = 13\). The objects constructed appear to have an interesting property of periodicity related to the gradating function on the fractal diagonal interpreted as the “pistil” and a family of pairs of segments parallel to the diagonal and equidistant from it, interpreted as the “stamens”. The first named author, M. Nowak-Kepczyk, and S. Marchiafava (2006, 2009a, b) gave an effective, explicit determination of the periods and expressed them in terms of complex and quaternionic structures, thus showing the quaternionic background of that periodicity. In contrast to earlier results, the fractal bundle flower structure, in particular petals, sepals, pistils, and stamens are not introduced ab initio; they are quoted a posteriori, when they are fully motivated. Physical concepts of dual and conjugate objects as well as of antiparticles led us to extend the periodicity theorem to structure fractals in para-quaternionic formulation, applying some results in this direction by the second named author. The paper is concluded by outlining some applications.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2011, 65, 2
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Compact coplanar-fed tree-shaped antenna
    Autorzy:
    Malinowska, Małgorzata
    Kitliński, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/226372.pdf
    Data publikacji:
    2019
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    broadband antenna
    fractal antenna
    reflection coefficient,
    defected ground structure
    coplanar waveguide
    Opis:
    The paper presents the concept of a fully planar tree-shaped antenna with quasi-fractal geometry. The shape of the proposed radiator is based on a multi-resonant structure. Developed planar tree has symmetrical branches with different length and is fed by a coplanar waveguide (CPW) with modified edge of the ground plane. The antenna of size 29 mm x25 mm has been designed on Taconic - RF-35 substrate (er = 3.5, tgde= 0.0018, h = 0.762 mm). The paper shows simulated and measured characteristics of return loss, as well as measured radiation patterns. The proposed antenna could be a good candidate for broadband applications (for instance: wideband imaging for medical application and weather monitoring radars in satellite communication etc.)
    Źródło:
    International Journal of Electronics and Telecommunications; 2019, 65, 2; 175-180
    2300-1933
    Pojawia się w:
    International Journal of Electronics and Telecommunications
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analiza komputerowa struktury nadźwiękowionych kłaczków osadów biologicznych
    Computer analysis of the structure of sonicated biological sludge
    Autorzy:
    Fryźlewicz-Kozak, B.
    Drabik, K.
    Powiązania:
    https://bibliotekanauki.pl/articles/2071317.pdf
    Data publikacji:
    2011
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    osad czynny
    analiza obrazu
    wymiar fraktalny
    struktura kłaczka
    activated sludge
    image analysis
    fractal dimension
    floc structure
    Opis:
    Analizowany materiał stanowił zdjęcia nadźwiękowionego osadu czynnego, pochodzące z oczyszczalni ścieków w Olkuszu. Do obróbki zdjęć użyto specjalistycznych oprogramowań: Fraclalyse - do analizy fraktalnej oraz programu ImageJ do analizy parametrów geometrycznych. W celu dokładniejszego zilustrowania zmian zachodzących w nadżwiękowionym osadzie, posłużono się dodatkowo parametrami kształtu.
    Analyzed materials were images of sonicated activated sludge, from wastewater treatment plants in Olkusz. The image processing specialized software was: Fractalyse - for fractal analysis and ImageJ for the analysis of geometrical parameters. In order to illustrate more accurately the changes in sonicated sediment shape parameters were used.
    Źródło:
    Inżynieria i Aparatura Chemiczna; 2011, 5; 28-29
    0368-0827
    Pojawia się w:
    Inżynieria i Aparatura Chemiczna
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On a formula finding fractal dimension
    Autorzy:
    Kamilov, Kh.
    Zaitov, A.
    Tulaganov, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/1818513.pdf
    Data publikacji:
    2020
    Wydawca:
    Stowarzyszenie Komputerowej Nauki o Materiałach i Inżynierii Powierzchni w Gliwicach
    Tematy:
    fractal dimension
    cellular concrete
    structure
    mineral binder
    porosity
    density
    wymiar fraktalny
    beton komórkowy
    struktura
    spoiwo mineralne
    porowatość
    gęstość
    Opis:
    Purpose: The article is devoted to the determination of the fractal dimension of cellular concrete, in particular foam concrete, and the further clarification of the relationship between fractal dimension and porosity and average density of cellular concrete. Design/methodology/approach: In the theoretical description of disordered systems, the fundamentals of fractal theory are actively used, which allow obtaining statistical indicators of chaotic natural and artificially disordered systems, which include cellular concrete. The parameters of the pore structure are difficult to quantify by conventional methods because of the complexity and irregularity of the pore structure due to their random distribution. Findings: Formulas for calculating the fractal dimension and average density of highly porous material are calculated and proposed. The formula for calculating the average density takes into account the density of the material between the pore walls. Research limitations/implications: The calculation of the fractal dimension is one of the main factors affecting the practical application of the theory of fractals, a natural problem arises on a theoretical basis to justify these calculations. Practical implications: The formulas proposed in this work for calculating the fractal dimension and density of a highly porous structure improve research on methods for producing substances with a controlled fractal structure, which will help create materials with unusual mechanical properties, density, and porosity. Originality/value: The formula for calculating the fractal dimension obtained in the work improves the well-known Hausdorff-Bezikovich formula. On the other hand, it makes it possible to obtain a highly porous structure with a given density of the material under study.
    Źródło:
    Archives of Materials Science and Engineering; 2020, 104, 1; 19--22
    1897-2764
    Pojawia się w:
    Archives of Materials Science and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Chaos jako porządek wyższego rzędu w wybranych trendach współczesnej architektury
    Chaos as the higher order in selected trends of contemporary architecture
    Autorzy:
    Rubinowicz, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/369333.pdf
    Data publikacji:
    2011
    Wydawca:
    Zachodniopomorski Uniwersytet Technologiczny w Szczecinie. Wydawnictwo Uczelniane ZUT w Szczecinie
    Tematy:
    architektura współczesna
    teoria chaosu deterministycznego
    geometria fraktalna
    projektowanie komputacyjne
    budowa formy architektonicznej
    contemporary architecture
    theory of deterministic chaos
    fractal geometry
    computational design
    structure of architectural form
    Opis:
    Praca prezentuje nową interpretację pojęcia złożoności formy architektonicznej w kontekście matematycznej teorii chaosu deterministycznego i geometrii fraktalnej. W klasycznym rozumieniu i doświadczeniu projektowym złożoność formalna powstaje w wyniku odejścia od określonych zasad porządku w stronę swobodnej i intuicyjnej kreacji. Natomiast przytoczone w pracy analizy poparte symulacjami komputerowymi dowodzą, że prosta reguła, zasada czy prawo może stanowić ścisłą definicję niezwykle skomplikowanej, gęstej i pozornie nieregularnej struktury. W ujęciu architektonicznym, wyznacznikiem nowej złożoności jest uzyskiwanie form złożonych poprzez stosowanie prostego procesu formowania. Zasada geometrycznej organizacji takich form jest określana mianem porządku wyższego rzędu.
    The thesis: "Chaos as the Higher Order in Selected Trends of Contemporary Architecture" presents new interpretation of the complexity of an architectural form in the context of mathematical theory of deterministic chaos and fractal geometry. According to the classical understanding and experience in designing, the formal complexity is the result of deviating from the order towards free and intuitive creation. Analyses referred to in the thesis supported with computer simulations proved that a simple rule, principle or a law may comprise a strict definition of an extremely complicated, dense and apparently irregular structure. From an architectural point of view, the new complexity leads to complex forms by applying a simple process of forming. The principle of geometric organization of such forms is defined as the higher order.
    Źródło:
    Przestrzeń i Forma; 2011, 16; 111-120
    1895-3247
    2391-7725
    Pojawia się w:
    Przestrzeń i Forma
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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