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    Wyświetlanie 1-22 z 22
    Tytuł:
    Number three as a law of science. In praise of number three
    Autorzy:
    Maciuk, Arkadiusz
    Smoluk, Antoni
    Powiązania:
    https://bibliotekanauki.pl/articles/421393.pdf
    Data publikacji:
    2016
    Wydawca:
    Wydawnictwo Uniwersytetu Ekonomicznego we Wrocławiu
    Tematy:
    perception of natural numbers
    three-valued logic
    test exams
    Opis:
    Comprehension of nature, in the simplest and quickest fashion, boils down to the differentiation of three states. This is probably related to the psychological fact that the human mind grasps only natural numbers from zero to three and the other numbers it calculates. We live in a divalent world created by Aristotle. However not everything can be reduced to two categories: “yes” and “no”, because Nature is abundant. The principle of continuity which facilitates understanding is in natural conflict with the binary description of the world. Ever since the times of Aristotle it has been normal to use in science a description of the world that is reduced to two states: “true” and “false”. In nature it is more obvious to distinguish three states: low-medium-high or negative-neutral-positive, etc. Man embraces at a single glance sets of three elements at most, and more numerous sets are divided into parts. Binary logic may have a negative impact on the process of teaching and examinations, especially if the tests are used.
    Źródło:
    Didactics of Mathematics; 2016, 13(17); 25-34
    1733-7941
    Pojawia się w:
    Didactics of Mathematics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Liczba trzy w kulturze i języku
    The number three in the culture and language
    Autorzy:
    Ruszkowski, Marek
    Powiązania:
    https://bibliotekanauki.pl/articles/2174110.pdf
    Data publikacji:
    2022-12-02
    Wydawca:
    Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
    Tematy:
    number three
    trichotomy
    culture
    language
    liczba trzy
    trychotomia
    kultura
    język
    Opis:
    Already in the oldest cultures, numbers were used not only for counting, but humans used them to tame and organise the world and attributed to them magical, mystical and causative powers. It is difficult to characterise all cultural and linguistic areas in which the number three plays a very important role and performs many functions. Out of necessity, this article will limit itself to selected ones: various contemporary and past religions; folk culture; sports; children’s rhymes and counting books; phraseological idioms, proverbs and maxims. Triads occur extremely often in the physical and mental world of many societies, because the number three is considered lucky, perfect, often even sacred, basic in many areas of life (among others in folklore, in fairy tales, in literature, in games and plays, spells, aphorisms, wishes).
    Źródło:
    Annales Universitatis Paedagogicae Cracoviensis. Studia Linguistica; 2022, 17; 214-221
    2083-1765
    Pojawia się w:
    Annales Universitatis Paedagogicae Cracoviensis. Studia Linguistica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Przesłanie symboliki liczby trzy w kulturze ludowej Białorusinów
    The symbolism of the number three in the folk culture of Belarusians
    Autorzy:
    Siegień-Matyjewicz, Alicja Joanna
    Powiązania:
    https://bibliotekanauki.pl/articles/40220737.pdf
    Data publikacji:
    2023
    Wydawca:
    Uniwersytet Przyrodniczo-Humanistyczny w Siedlcach
    Tematy:
    symbol
    numbers
    folk culture
    rituals
    magic
    myths
    Belarusians
    liczby
    kultura ludowa
    religia
    obrzędy
    magia
    mity
    Białorusini
    Opis:
    W niniejszym artykule przedstawiono rolę symboli w życiu jednostek i grup. Szczególną uwagę zwrócono na symboliczne znaczenie liczby trzy w kulturze ludowej Białorusinów, a dokładniej w obrzędach kalendarza ludowego, scenariuszach ceremonii zaślubin, rytuale narodzin, obrzędach związanych z chrztem, śmiercią i żałobą. Ukazano także dominującą rolę liczby trzy w mitologii i ustnej poetyckiej spuściźnie Białorusinów (szczególnie w zaklęciach i bajkach). Analiza literatury naukowej i wywiadów badawczych dowodzi, że liczby są uniwersalnym językiem, ponieważ zawierają informacje o źródle wierzeń kulturowych, o normach i wartościach różnych społeczeństw oraz o relacjach zachodzących między ich przedstawicielami.
    This article presents the role of symbols in the lives of individuals and groups. Particular attention is paid to the symbolic significance of the number three in the folk culture of the Belarusians, more specifically in the rites of the folk calendar, the scripts of marriage ceremonies, the ritual of birth, the rites associated with baptism, and the rites associated with death and mourning. The dominant role of the number three in the mythology and oral poetic legacy of the Belarusians (especially in spells and fairy epics) is also revealed. The analysis of scientific literature and research interviews prove that numbers are a universal language, as they contain information about the source of cultural beliefs, the norms and values of different societies as well as the relations occurring among their representatives.
    Źródło:
    DOCTRINA. Studia Społeczno-Polityczne; 2023, 20, 20; 253-272
    1730-0274
    Pojawia się w:
    DOCTRINA. Studia Społeczno-Polityczne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Three algebraic number systems based on the q-addition with applications
    Autorzy:
    Ernst, Thomas
    Powiązania:
    https://bibliotekanauki.pl/articles/2078940.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Marii Curie-Skłodowskiej. Wydawnictwo Uniwersytetu Marii Curie-Skłodowskiej
    Tematy:
    q-real numbers
    q-rational numbers
    q-integers
    q-trigonometric functions
    biring
    semiring
    Opis:
    In the spirit of our earlier articles on $q-\omega$ special functions, the purpose of this article is to present many new \(q\)-number systems, which are based on the \(q\)-addition, which was introduced in our previous articles and books. First, we repeat the concept biring, in order to prepare for the introduction of the \(q\)-integers, which extend the \(q\)-natural numbers from our previous book. We formally introduce a \(q\)-logarithm for the \(q\)-exponential function for later use. In order to find \(q\)-analogues of the corresponding formulas for the generating functions and \(q\)-trigonometric functions, we also introduce \(q\)-rational numbers. Then the so-called \(q\)-real numbers \(\mathbb{R}_{\oplus_{q}}\), with a norm, a \(q\)-deformed real line, and with three inequalities, are defined. The purpose of the more general \(q\)-real numbers \(\mathbb{R}_{q}\) is to allow the other \(q\)-addition too. The closely related JHC \(q\)-real numbers \(\mathbb{R}_{\boxplus_{q}}\) have applications to several \(q\)-Euler integrals. This brings us to a vector version of the \(q\)-binomial theorem from a previous paper, which is associated with a special case of the \(q\)-Lauricella function. New \(q\)-trigonometric function formulas are given to show the application of this umbral calculus. Then, some equalities between \(q\)-trigonometric zeros and extreme values are proved. Finally, formulas and graphs for \(q\)-hyperbolic functions are shown.
    Źródło:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica; 2021, 75, 2; 46-71
    0365-1029
    2083-7402
    Pojawia się w:
    Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Augmentation in heat transfer and friction of three sides over one side dimple roughened solar duct
    Autorzy:
    Kumar, Vikash
    Powiązania:
    https://bibliotekanauki.pl/articles/240256.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    dimple roughened
    relative roughness pitch
    relative roughness height
    dimple depth to diameter ratio
    nusselt number
    friction factor
    Opis:
    Providing roughness is an effective method to heat fluids to high temperature. Present paper make use of concave dimple roughness on one and three sides of roughened ducts aimed at determining rise in heat transfer and friction of three sides over one side roughened duct. Three sides roughened duct produces high heat transfer compared to one side roughened. Results are shown as a rise in Nusselt number and friction factor of three sides over one side roughened duct. Experimental investigation was conducted under actual outdoor condition at National Institute of Technology Jamshedpur, India to test various sets of roughened collectors. Roughness parameter varied as relative roughness pitch 8–15, relative roughness height 0.018–0.045, dimple depth to diameter ratio 1–2, Reynolds number 2500– 13500 at fixed aspect ratio (width/hight) 8. Highest enhancement in Nusselt number for varying relative roughness pitch, height, and diameter ratio was respectively found as 2.6 to 3.55 times, 1.91 to 3.42 times and 3.09 to 3.94 times compared to one side dimple roughened duct. Highest rise in friction for three sides over one side roughened duct for these varying parameters was respectively found as 1.62 to 2.79 times, 1.52 to 2.34 times and 2.21 to 2.56 times. To visualize the effect of roughness parameter on heat transfer and friction factor, variation in Nusselt number and friction factor for varying roughness parameters with Reynolds number is shown.
    Źródło:
    Archives of Thermodynamics; 2020, 41, 3; 57-89
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Inverse aspects of the three-way catalytic converter operation in the spark ignition engine
    Autorzy:
    Żmudka, Z.
    Postrzednik, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/242021.pdf
    Data publikacji:
    2011
    Wydawca:
    Instytut Techniczny Wojsk Lotniczych
    Tematy:
    catalytic converter
    conversion rate
    flow resistance
    local resistance number
    friction number
    Opis:
    There are two sides of the catalyst operation: favourable and adverse. The positive side can be expressed by a conversion rate of harmful substances which is the principal parameter of catalyst work in respect of ecology. However, resistance of exhaust gas flow through the catalytic converter is also an essential problem. This is just the negative, adverse side of the converter operation. The catalytic converter can be treated as a local or linear resistance element of exhaust system. The first model, in which flow resistance generated by a catalyst is treated as local resistance, is more simplified. It is especially useful in case, when detailed constructional data of converter are unknown and the analysis of flow resistances in exhaust system is necessary. The basic measured quantity of flow resistance is pressure drop of exhaust gas within the catalyst. Next, on the basis of taken measurements also resistance number for the tested catalyst is calculated and analysed. Resistance number of the converter is calculated using Darcy model. In the second case, exhaust gas flow resistance through catalyst is treated as linear resistance with energy dissipation (linear frictional resistance) distributed linearly along way of exhaust gas flow. Friction number for the tested converter is calculated and analysed. The problem has been illustrated by the results of experimental researches of the three-way catalytic converter installed in the exhaust system of the spark ignition engine.
    Źródło:
    Journal of KONES; 2011, 18, 2; 509-516
    1231-4005
    2354-0133
    Pojawia się w:
    Journal of KONES
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Three edge-coloring conjectures
    Autorzy:
    Schelp, Richard
    Powiązania:
    https://bibliotekanauki.pl/articles/743559.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    edge-coloring
    Ramsey number
    vertex-distinguishing edge-coloring
    strong chromatic index
    balanced edge-coloring
    local coloring
    mean coloring
    Opis:
    The focus of this article is on three of the author's open conjectures. The article itself surveys results relating to the conjectures and shows where the conjectures are known to hold.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2002, 22, 1; 173-182
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The crossing numbers of join products of paths with three graphs of order five
    Autorzy:
    Staš, Michal
    Švecová, Mária
    Powiązania:
    https://bibliotekanauki.pl/articles/2216156.pdf
    Data publikacji:
    2022
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    graph
    crossing number
    join product
    cyclic permutation
    path
    Opis:
    The main aim of this paper is to give the crossing number of the join product $G^∗ + P_n$ for the disconnected graph $G^$∗ of order five consisting of the complete graph $K_4$ and one isolated vertex, where $P_n$ is the path on n vertices. The proofs are done with the help of a lot of well-known exact values for the crossing numbers of the join products of subgraphs of the graph $G^∗$ with the paths. Finally, by adding new edges to the graph $G^∗$, we are able to obtain the crossing numbers of the join products of two other graphs with the path $P_n$.
    Źródło:
    Opuscula Mathematica; 2022, 42, 4; 635-651
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonsingular unicyclic mixed graphs with at most three eigenvalues greater than two
    Autorzy:
    Gong, Shi-Cai
    Fan, Yi-Zheng
    Powiązania:
    https://bibliotekanauki.pl/articles/743659.pdf
    Data publikacji:
    2007
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    unicyclic graph
    mixed graph
    Laplacian eigenvalue
    matching number
    spectrum
    Opis:
    This paper determines all nonsingular unicyclic mixed graphs on at least nine vertices with at most three Laplacian eigenvalues greater than two.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2007, 27, 1; 69-82
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    One More Turán Number and Ramsey Number for the Loose 3-Uniform Path of Length Three
    Autorzy:
    Polcyn, Joanna
    Powiązania:
    https://bibliotekanauki.pl/articles/31341832.pdf
    Data publikacji:
    2017-05-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Ramsey numbers
    Turán numbers
    Opis:
    Let P denote a 3-uniform hypergraph consisting of 7 vertices a, b, c, d, e, f, g and 3 edges {a, b, c}, {c, d, e}, and {e, f, g}. It is known that the r-color Ramsey number for P is R(P; r) = r + 6 for r ≤ 9. The proof of this result relies on a careful analysis of the Turán numbers for P. In this paper, we refine this analysis further and compute the fifth order Turán number for P, for all n. Using this number for n = 16, we confirm the formula R(P; 10) = 16.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2017, 37, 2; 443-464
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An ant algorithm for the maximum number of 3-cliques in 3-partite graphs
    Autorzy:
    Schiff, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/2183443.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Instytut Badań Systemowych PAN
    Tematy:
    ant colony optimization
    three-partite graph
    3-clique
    combinatorial optimization
    graph theory
    Opis:
    The problem of finding the maximum number of d- vertices cliques (d = 3) in d-partite graph (d = 3) when graph density q is lower than 1 is an important problem in combinatorial optimization and it is one of many NP-complete problems. For this problem a meta-heuristic algorithm has been developed, namely an ant colony optimization algorithm. In this paper a new development of this ant algorithm and experimental results are presented. The problem of finding the maximum number of 3-vertices cliques can be encountered in computer image analysis, computer vision applications, automation and robotic vision systems. The optimal solution of this problem boils down to finding a set of 3-vertices cliques in a 3-partite graph and this set should have cardinality as high as possible. The elaborated ant colony algorithm can be easily modified for d-dimensional problems, that is for finding the maximum number of d-vertices cliques in a d-partite graph.
    Źródło:
    Control and Cybernetics; 2021, 50, 2; 347--358
    0324-8569
    Pojawia się w:
    Control and Cybernetics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Arithmetic progressions of length three in subsets of a random set
    Autorzy:
    Kohayakawa, Yoshiharu
    Łuczak, Tomasz
    Rödl, Vojtěch
    Powiązania:
    https://bibliotekanauki.pl/articles/1391171.pdf
    Data publikacji:
    1996
    Wydawca:
    Polska Akademia Nauk. Instytut Matematyczny PAN
    Tematy:
    Szemerédi's theorem
    arithmetic progressions
    combinatorial number theory
    regularity lemma
    random sets of integers
    Źródło:
    Acta Arithmetica; 1996, 75, 2; 133-163
    0065-1036
    Pojawia się w:
    Acta Arithmetica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    SIGN detection and signed integer comparison for three-moduli SET {2n ±1, 2n+k}
    Autorzy:
    Torabi, Zeinab
    Timarchi, Somayeh
    Powiązania:
    https://bibliotekanauki.pl/articles/2097970.pdf
    Data publikacji:
    2021
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    computer arithmetic
    residue number system
    signed integer comparison
    dynamic range partitioning
    Opis:
    Comparison, division, and sign detection are considered to be complicated op erations in a residue number system (RNS). A straightforward solution is to convert RNS numbers into binary formats and then perform complicated op erations using conventional binary operators. If efficient circuits are provided for comparison, division, and sign detection, the application of RNS can be extended to those cases that include these operations. For RNS comparison in three-moduli set τ = {2 n−1, 2 n+k , 2 n+1},(0 ≤ k ≤ n), we have found only one hardware realization. In this paper, an efficient RNS comparator is proposed for moduli set τ , which employs a sign-detection method and operates more efficiently than its counterparts. The proposed sign detector and comparator utilize dynamic range partitioning (DRP), which has been recently presented for unsigned RNS comparison. The delay and cost of the proposed comparator are lower than the previous works, which makes it appropriate for RNS applications with limited delay and cost.
    Źródło:
    Computer Science; 2021, 22 (3); 387-401
    1508-2806
    2300-7036
    Pojawia się w:
    Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Open-circuit fault diagnosis in three-phase induction motor using model-based technique
    Autorzy:
    Aswad, Raya A. K.
    Jassim, Bassim M. H.
    Powiązania:
    https://bibliotekanauki.pl/articles/949900.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    induction motor
    model-based diagnosis
    number of turns
    open-circuit fault
    Opis:
    The presence of an open-circuit fault subjects a three-phase induction motor to severely unbalanced voltages that may damage the stator windings consecutively causing total shutdown of systems. Unplanned downtime is very costly. Therefore, fault diagnosis is essential for making a predictive plan for maintenance and saving the required time and cost. This paper presents a model-based diagnosis technique for diagnosing an open-circuit fault in any phase of a three-phase induction motor. The proposed strategy requires only current signals from the faulty machine to compare them with the healthy currents from an induction motor model. Then the errors of comparison are used as an objective function for a genetic algorithm that estimates the parameters of a healthy model, which they employed to identify and localize the fault. The simulation results illustrate the behaviours of basic parameters (stator and rotor resistances, self-inductances, and mutual inductance) and the number of stator winding turn parameters with respect to the location of an open-circuit fault. The results confirm that the number of stator winding turns are the useful parameters and can be utilized as an identifier for an open-circuit fault. The originality of this work is in extracting fault diagnosis features from the variations of the number of stator winding turns.
    Źródło:
    Archives of Electrical Engineering; 2020, 69, 4; 815-827
    1427-4221
    2300-2506
    Pojawia się w:
    Archives of Electrical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Performance analysis of three sides solar air heater having roughness elements as a combination of multiple-v and transverse wire on the absorber plate
    Autorzy:
    Kumar, Dhananjay
    Prasad, Laljee
    Powiązania:
    https://bibliotekanauki.pl/articles/240604.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    Reynolds number
    relative roughness height
    relative roughness pitch
    solar air heater
    thermal efficiency
    one side roughened duct
    three side’s roughened duct
    Opis:
    Artificial roughness has been found to enhance the thermal performance from the collector to air in the solar air heater duct. This paper presents the results of experimental investigation on thermal performance of three sides solar air heater roughened with combination of multiple-v and transverse wire. The range of variation of system and operating parameters is investigated within the limits of relative roughness pitch of 10−25, relative roughness height of 0.018 −0.042, angle of attack of 30°−75° at varying flow Reynolds number in the of range of 3000−12000 for fixed value of relative roughness width of 6. The augmentation in fluid temperature flowing under three side’s roughened duct is found to be 36.57% more than that of one side roughened duct. The maximum thermal efficiency is obtained at relative roughness pitch of 10 and relative roughness height of 0.042, and angle of attack of 60°. The augmentation in thermal efficiency of three sides over those of one side roughened duct is found to be 46−57% for varying values of relative roughness pitch, 38−50% for varying values of relative roughness height, and 40−46% for varying values of angle of attack.
    Źródło:
    Archives of Thermodynamics; 2020, 41, 3; 125-146
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dokładność oceny współczynnika rozszerzenia metodą efektywnej liczby stopni swobody w oparciu o znajomość splotu trzech rozkładów prawdopodobieństwa
    Accuracy of coverage factor evaluation with the method of effective number degrees of freedom on this basis of fnowledge of the convolution on three probability distributions
    Autorzy:
    Turzeniecka, D.
    Otomański, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/151874.pdf
    Data publikacji:
    2002
    Wydawca:
    Stowarzyszenie Inżynierów i Techników Mechaników Polskich
    Tematy:
    ocena współczynnika rozszerzania
    metoda efektywnej liczby stopni swobody
    splot trzech rozkładów prawdopodobieństwa
    coverage factor evaluation
    method of effective number degrees of freedom
    fnowledge of the convolution
    three probability distributions
    Opis:
    Przedstawiono wyniki badań błędu oceny współczynnika rozszerzenia przybliżoną metodą efektywnej liczby stopni swobody przy pomiarach posrednich. Porównanie otrzymanych wyników ze znaną oceną tych błędów przy pomiarach bezpośrednich pozwoliło na okreslenie tendencji zmian błędów oceny współczynnika rozszerzenia, kiedy rośnie liczba składowych niepewności standardowych. Wykorzystano do badań znajomość charakterystyk współczynnika rozszerzenia dla splotu trzech wybranych rozkładów prawdopodobieństwa.
    The results of examining error evaluation of the coverage factor with approximate method of effective degrees in indirect measurements have been presented in the paper. comparison of the results obtained with the known evaluation of these errors in direct measurements enabled to determine the change tendency of the error of covertage factor evaluation, when the number of components of standard uncertainties grows. The knowledge of coverage factor characteristics for the convolution of three selected probability distributions was used for the examination.
    Źródło:
    Pomiary Automatyka Kontrola; 2002, R. 48, nr 9, 9; 21-24
    0032-4140
    Pojawia się w:
    Pomiary Automatyka Kontrola
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Ramsey number for theta graph versus a clique of order three and four
    Autorzy:
    Bataineh, M.S.A.
    Jaradat, M.M.M.
    Bateeha, M.S.
    Powiązania:
    https://bibliotekanauki.pl/articles/30148226.pdf
    Data publikacji:
    2014-05-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    Ramsey number
    independent set
    theta graph
    complete graph
    Opis:
    For any two graphs $F_1$ and $F_2$, the graph Ramsey number $r(F_1, F_2)$ is the smallest positive integer $N$ with the property that every graph on at least $N$ vertices contains $F_1$ or its complement contains $F_2$ as a subgraph. In this paper, we consider the Ramsey numbers for theta-complete graphs. We determine $r(θ_n,K_m)$ for m = 2, 3, 4 and n > m. More specifically, we establish that $r(θ_n,K_m) = (n − 1)(m − 1) + 1$ for m = 3, 4 and n > m
    Źródło:
    Discussiones Mathematicae Graph Theory; 2014, 34, 2; 223-232
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Zastosowanie niedeterministycznej metody hybrydowej w optymalizacji silników indukcyjnych
    Optimization of three-phase induction motors by increased number of independent variables by means of the nondeterministics hybrid method
    Autorzy:
    Dąbrowski, M.
    Rudeński, A.
    Powiązania:
    https://bibliotekanauki.pl/articles/159479.pdf
    Data publikacji:
    2007
    Wydawca:
    Sieć Badawcza Łukasiewicz - Instytut Elektrotechniki
    Tematy:
    silnik indukcyjny
    optymalizacja
    metoda hybrydowa
    Opis:
    Na przykładzie optymalizacji silnika dwuklatkowego przedstawiono propozycję połączenia strategii ewolucyjnej z metodą sterowanego przeszukiwania stochastycznego (Controlled Random Search), w celu bardziej dokładnego zlokalizowania optymalnego wektora zmiennych decyzyjnych. Opracowana procedura optymalizacyjna pozwala zmniejszyć rozrzut (zawęzić odchylenie standardowe) wyników obliczeń otrzymywanych przy wielokrotnym ich powtarzaniu za pomocą strategii ewolucyjnej ( μ+ λ)-ES, bez jej kojarzenia z inną procedurą, np. stochastyczną. W tym celu opracowano metodę optymalizacji złożoną ze strategii ewolucyjnej ( μ+ λ)-ES i z zaproponowanej modyfikacji stochastycznego algorytmu Price'a.
    The paper presents a proposal of the connection of the evolution strategy with the controlled random search algorithm - for a more accurate objective localization of the optimal independent variables vector. Elaborated optimization procedure is able to decrease dispersion (decrease the standard deviation) of calculation results obtained by repeatedly applied evolution strategy (μ + λ )-ES without its association with other procedure, for instance with stochastic procedure. In this aim the evolution strategy ( μ+ λ)-ES compounded with modification of the stochastic Price's algorithm has been elaborated.
    Źródło:
    Prace Instytutu Elektrotechniki; 2007, 231; 17-35
    0032-6216
    Pojawia się w:
    Prace Instytutu Elektrotechniki
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Heat transfer and friction characteristics in three-side solar air heaters with the combination of multi-v and transverse wire roughness
    Autorzy:
    Kumar, Dhananjay
    Powiązania:
    https://bibliotekanauki.pl/articles/2204071.pdf
    Data publikacji:
    2023
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    absorber plate
    fluid flow
    heat transfer
    solar air heater
    reynolds number
    relative roughness height
    Opis:
    The present paper describes the experimental analysis of heat transfer and friction factor for glass protected three-side artificially roughened rectangular duct solar air heaters (SAHs) having an arrangement of multiple-v and transverse wires (top wall multi-v and two side walls transverse) under the absorber plate, and compares their performance with that of one-side roughened solar air heaters under similar operating conditions. The investigated three-side solar air heaters are characterized by a larger rate of heat transfer and friction factor as compared to one-side artificially roughened SAHs by 24–76% and 4–36%, respectively, for the identical operating parameters. The air temperature below the three-side rugged duct is by 34.6% higher than that of the one-side roughened duct. Three-side solar air heaters are superior as compared to one-side artificially roughened solar air heaters qualitatively and quantitatively both.
    Źródło:
    Archives of Thermodynamics; 2023, 44, 1; 63--87
    1231-0956
    2083-6023
    Pojawia się w:
    Archives of Thermodynamics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Dwa czy trzy? W kwestii liczby wydań wielkiej mapy Pomorza Eilharda Lubinusa
    Two or Three? With Regard to the Number of Editions of the Great Map of Pomerania by Eilhard Lubinus
    Autorzy:
    Skrycki, Radosław
    Powiązania:
    https://bibliotekanauki.pl/articles/1059129.pdf
    Data publikacji:
    2020-09-30
    Wydawca:
    Towarzystwo Naukowe w Toruniu
    Tematy:
    eilhard lubinus
    map of pomerania
    cartography
    seventeenth century
    duchy of pomerania
    duke philip ii of szczecin
    Opis:
    According to the scholarly literature on the cartography of the former Duchy of Pomerania, the map of this region prepared by Eilhard Lubinus, a scholar from the University of Rostock, had two editions: the first from 1618 and the second from 1758. This article presents a more detailed analysis of the preserved documents relevant for this topic: the correspondence of the author of the map and his patron, the Duke of Pomerania Philip II, as well as subsequent letters concerning the inheritance after Lubinus’s death. This investigation allowed to put forward a hypothesis that there were actually three editions. Apart from the two editions mentioned above, one more from the turn of 1620, financed by Lubinus himself, should be added. This conclusion is enhanced by the results of research carried out during conservation works on a copy of the map currently stored in the Main Library of the University of Szczecin. The research revealed that the paper used to print the map came neither from the paper mill of Pomeranian dukes, as in the 1618 edition, nor from the paper mill of Joseph Anton Unold of Wolfegg, as in the 1758 edition.
    Źródło:
    Zapiski Historyczne; 2020, 85, 3; 129-139
    0044-1791
    2449-8637
    Pojawia się w:
    Zapiski Historyczne
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Leonardo Pisano called Fibonacci, between advanced mathematics, history of mathematics and mathematics education: three examples drawn from Liber Quadratorum
    Od matematyki wyzszej, przez historie do dydaktyki. Trzy przykłady zaczerpniete z Liber Quadratorum Leonarda z Pizy zwanego Fibonaccim
    Autorzy:
    Bussotti, Paolo
    Powiązania:
    https://bibliotekanauki.pl/articles/1791019.pdf
    Data publikacji:
    2017-07-04
    Wydawca:
    Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
    Tematy:
    Fibonacci
    Enriques
    Liber Quadratorum
    Paradigmatic examples
    Medieval mathematics
    Diophantine analysis
    Lagrange
    Genochhi
    Number theory and mathematics education
    Relation history of mathematics-mathematics education
    Opis:
    In this research, three problems faced by Leonardo Pisano, called Fibonacci,are dealt with. The main purpose is to show that history of mathematics can offerinteresting material for mathematics education. The approach to the use of history ofmathematics in mathematics education cannot be merely historical, but adapted to theneeds of the explanations in a classroom. In the course of this paper, the meaning ofsuch assertion will be clarified. A further purpose is a trying to explore the relationshistory of mathematics-mathematics education-advanced mathematics. Last, but notthe least, a further aim is to offer a specific series of interesting material to the teacherin order to develop stimulating lessons. The material here expounded is conceived forpupils frequenting the third and the fourth years of the high school, but, with minormodifications, it can be adapted to the fifth year of the high school and to the initialyears of the scientific faculties at the university.
    Źródło:
    Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2015, 7; 5-25
    2080-9751
    2450-341X
    Pojawia się w:
    Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
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