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Tytuł:
Decomposing complete graphs into cubes
Autorzy:
El-Zanati, Saad
Eynden, C.
Powiązania:
https://bibliotekanauki.pl/articles/743903.pdf
Data publikacji:
2006
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
graph decomposition
graph factorization
d-cube
Opis:
This paper concerns when the complete graph on n vertices can be decomposed into d-dimensional cubes, where d is odd and n is even. (All other cases have been settled.) Necessary conditions are that n be congruent to 1 modulo d and 0 modulo $2^d$. These are known to be sufficient for d equal to 3 or 5. For larger values of d, the necessary conditions are asymptotically sufficient by Wilson's results. We prove that for each odd d there is an infinite arithmetic progression of even integers n for which a decomposition exists. This lends further weight to a long-standing conjecture of Kotzig.
Źródło:
Discussiones Mathematicae Graph Theory; 2006, 26, 1; 141-147
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Machining Study of a Part Consisting of a Sphere Inside a Cube
Autorzy:
Jabłoński, W.
Powiązania:
https://bibliotekanauki.pl/articles/99707.pdf
Data publikacji:
2013
Wydawca:
Wrocławska Rada Federacji Stowarzyszeń Naukowo-Technicznych
Tematy:
CNC processing
sphere in cube
milling
Opis:
This paper pertains to the execution of a part consisting of a sphere situated inside a cube on a CNC milling machine tool. The sphere is freely situated, i.e. it has full freedom of movement within the cube. However it is not possible to remove it from the cube, because its diameter exceeds the length of the cube wall. The hypothesis posed in this paper is that optimal utilisation of technological processing capabilities in combination with geometrical and technological problem analysis enables a significant expansion in the range of details acknowledged as possible to produce. A method of analysis of a technological problem posed in this way was proposed, as a result of which the technology for production of this part was developed, and the final effect presented in the form of the produced detail. This paper shows that the condition for success is the proper selection of technological factors (machine tool, tools, method of fastening) and conceptual and informational factors (geometrical analysis, correct use of CNC control, optimal utilisation of CAD/CAM software for generation of the control program).
Źródło:
Journal of Machine Engineering; 2013, 13, 4; 47-56
1895-7595
2391-8071
Pojawia się w:
Journal of Machine Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Some Properties of Antipodal Partial Cubes
Autorzy:
Polat, Norbert
Powiązania:
https://bibliotekanauki.pl/articles/31512721.pdf
Data publikacji:
2020-08-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
antipodal graph
partial cube
interval monotony
girth
diameter
Opis:
We prove that an antipodal bipartite graph is a partial cube if and only it is interval monotone. Several characterizations of the principal cycles of an antipodal partial cube are given. We also prove that an antipodal partial cube G is a prism over an even cycle if and only if its order is equal to 4(diam(G) − 1), and that the girth of an antipodal partial cube is less than its diameter whenever it is not a cycle and its diameter is at least equal to 6.
Źródło:
Discussiones Mathematicae Graph Theory; 2020, 40, 3; 755-770
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization and design of four gripper pneumatical Rubik’s Cube solver
Autorzy:
Hajduk, M.
Varga, J.
Durovsky, F
Powiązania:
https://bibliotekanauki.pl/articles/117884.pdf
Data publikacji:
2014
Wydawca:
Polskie Towarzystwo Promocji Wiedzy
Tematy:
Rubik's cube
Pneumatical manipulator
Service robotics
Thistletwaite45
Opis:
Robotic Rubik’s solver is an excellent example of science popularizing mechatronic device, since it combines knowledge of several technological fields including computer vision techniques, advanced numerical algorithms and control of industrial pneumatic components with popula-rity of Rubik’s cube in one resulting device. First version of solver con-structed by our department was equipped only by 2 lower grippers, resul-ting in approximately four minutes for single cube solution. Proposed paper describes not only experience gained by development of upgraded 4 gripper version but includes statistical analysis of Thistlethwait’s 45 algorithm required for solving process optimization. Mechanical design, electronics, system overview, performance and limitations of upgraded 4 gripper version are explained in detail as well.
Źródło:
Applied Computer Science; 2014, 10, 3; 57-67
1895-3735
Pojawia się w:
Applied Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Internally 4-Connected Graphs with No {Cube, V8}-Minor
Autorzy:
Lewchalermvongs, Chanun
Ananchuen, Nawarat
Powiązania:
https://bibliotekanauki.pl/articles/32083888.pdf
Data publikacji:
2021-05-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
internally 4-connected
minor
cube graph
V8 graph
Opis:
A simple graph is a minor of another if the first is obtained from the second by deleting vertices, deleting edges, contracting edges, and deleting loops and parallel edges that are created when we contract edges. A cube is an internally 4-connected planar graph with eight vertices and twelve edges corresponding to the skeleton of the cube in the platonic solid, and the Wagner graph V8 is an internally 4-connected nonplanar graph obtained from a cube by introducing a twist. A complete characterization of all internally 4-connected graphs with no V8 minor is given in J. Maharry and N. Robertson, The structure of graphs not topologically containing the Wagner graph, J. Combin. Theory Ser. B 121 (2016) 398–420; on the other hand, only a characterization of 3-connected graphs with no cube minor is given in J. Maharry, A characterization of graphs with no cube minor, J. Combin. Theory Ser. B 80 (2008) 179–201. In this paper we determine all internally 4-connected graphs that contain neither cube nor V8 as minors. This result provides a step closer to a complete characterization of all internally 4-connected graphs with no cube minor.
Źródło:
Discussiones Mathematicae Graph Theory; 2021, 41, 2; 481-501
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On 4-dimensional cube and SUDOKU
Autorzy:
Trenkler, M.
Powiązania:
https://bibliotekanauki.pl/articles/121750.pdf
Data publikacji:
2011
Wydawca:
Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
Tematy:
Sudoku
4-dimensional cube
number puzzle
czterowymiarowa kostka
układanka liczbowa
Opis:
The number puzzle SUDOKU (Number Place in the U.S.) has recently gained great popularity. We point out a relationship between SUDOKU and 4-dimensional Latin cubes. Namely, we assign the cells 4-tuples of numbers - coordinates in 4-dimensional space and then consider the game plan as a 4-dimensional cube. We also mention some variants of SUDOKU.
Źródło:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2011, 16; 71-78
2450-9302
Pojawia się w:
Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimal state feedback controller for balancing cube
Autorzy:
Kowalczyk, Adam
Piotrowski, Robert
Powiązania:
https://bibliotekanauki.pl/articles/27314202.pdf
Data publikacji:
2022
Wydawca:
Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:
balancing cube
control systems
linear quadratic regulator
mathematical model
physical model
Opis:
In this paper, a nonlinear balancing cube system is considered, the concept for which is based on an inverted pendulum. The main purpose of this work was the modelling and construction of a balancing cube with the synthesis of the control system. The control objectives included swing-up and stabilization of the cube on its vertex at an unstable equilibrium. Execution of the intended purpose required, first, deriving a cognitive mathematical model. It was based on the Lagrange method. Next, a mathematical model for control purposes was derived. The project of the physical model of the balancing cube was presented. A stabilization system based on a linear quadratic regulator (LQR) was developed. Moreover, a swing-up mechanism was used to bring the cube close to the upper equilibrium point. The algorithm switching condition was important to enable the correct functioning of the system. The developed control system was verified in the Matlab environment. Finally, verifying experiments and comparisons among models (mathematical and physical) were performed.
Źródło:
Journal of Automation Mobile Robotics and Intelligent Systems; 2022, 16, 3; 3--12
1897-8649
2080-2145
Pojawia się w:
Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Topological classification of strong duals to nuclear (LF)-spaces
Autorzy:
Banakh, Taras
Powiązania:
https://bibliotekanauki.pl/articles/1206130.pdf
Data publikacji:
2000
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
dual space
nuclear (LF)-space
Montel space
direct limit
Hilbert cube
Opis:
We show that the strong dual X' to an infinite-dimensional nuclear (LF)-space is homeomorphic to one of the spaces: $ℝ^ω$, $ℝ^∞$, $Q×ℝ^∞$, $ℝ^ω×ℝ^∞$, or $(ℝ^∞)^ω$, where $ℝ^∞ = lim ℝ^n$ and $Q=[-1,1]^ω$. In particular, the Schwartz space D' of distributions is homeomorphic to $(ℝ^∞)^ω$. As a by-product of the proof we deduce that each infinite-dimensional locally convex space which is a direct limit of metrizable compacta is homeomorphic either to $ℝ^∞$ or to $Q×ℝ^∞$. In particular, the strong dual to any metrizable infinite-dimensional Montel space is homeomorphic either to $ℝ^∞$ or to $Q×ℝ^∞$.
Źródło:
Studia Mathematica; 2000, 138, 3; 201-208
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The symbolism of architecture in the "Cube" motion picture by Vincenzo Natali
Autorzy:
Wysznacki, Karol
Powiązania:
https://bibliotekanauki.pl/articles/1179542.pdf
Data publikacji:
2017
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Aristotle
architecture
cube
movie
philosophy
religion
set design
symbol
teleology
Opis:
There is no other area of human interest in which immaterial ideas, feelings and storytelling problems meet material world as closely as in the area of set - design. This is where philosophical questions and religious references suddenly start to 'take shape'. In my article I will analyse this process and show how many different contexts can be taken into consideration even if we choose as simple and minimalistic architecture as the one from the famous science – fiction movie Cube, directed by Vincenzo Natali. On a few pages we will discuss interfaith symbolism of the form of square with the focus on four main religious systems - Christianity, Islam, Hinduism and Buddhism. Surprisingly all of these have linked the square with very similar meanings. We will analyse teleological concepts of Aristotle (particularly the 'final cause' theory), which are defined in one of his most famous works, the 'metaphysics'. The most important aspect of this thesis ('purposefulness' as an obligatory attribute of existence) can be easily connected with the plot of the movie, where characters are compliant with the mathematical system in which they appeared. In the conclusion we will try to understand how symbolic meanings can influence our understanding of the final message of the movie and at the very ending we will refer to the etymology of the word 'cosmos'. The chapter will hopefully prove that Cube can offer careful viewers much more than a large amount of suspense or thrill and can be read as a large metaphor. However, to find an exit from the labyrinth of interpretations we will have to – paraphrasing the words of Quentin, one of the main characters – find a place from which we can see 'the big picture'.
Źródło:
World Scientific News; 2017, 76; 190-196
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On Antipodal and Diametrical Partial Cubes
Autorzy:
Polat, Norbert
Powiązania:
https://bibliotekanauki.pl/articles/32222718.pdf
Data publikacji:
2021-11-01
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
diametrical graph
harmonic graph
antipodal graph
partial cube
diameter
isometric dimension
Opis:
We prove that any diametrical partial cube of diameter at most 6 is antipodal. Because any antipodal graph is harmonic, this gives a partial answer to a question of Fukuda and Handa [Antipodal graphs and oriented matroids, Discrete Math. 111 (1993) 245–256] whether any diametrical partial cube is harmonic, and improves a previous result of Klavžar and Kovše [On even and harmonic-even partial cubes, Ars Combin. 93 (2009) 77–86].
Źródło:
Discussiones Mathematicae Graph Theory; 2021, 41, 4; 1127-1145
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Innovative teaching methods
Innowacyjne metody nauczania
Autorzy:
Niti, D.-E.
Marina, A.-G.
Powiązania:
https://bibliotekanauki.pl/articles/131360.pdf
Data publikacji:
2017
Wydawca:
Uczelnia Jana Wyżykowskiego
Tematy:
innovative teaching methods
empower
Jigsaw
The Cube
Lotus technique
brainstorming method
video tutorial
social media
innowacyjne metody nauczania
zachęcanie
Cube
technika Lotus
metoda burzy mózgów
tutoriale
media społecznościowe
Opis:
The purpose of teaching is to enlighten and empower by transmitting useful information among individuals. Now, with the evolution of technology and the great explosion of information throw-out from the internet, more and more teachers face the problem of reaching the audience. Students are losing interest in the common methods of teaching so therefore we must come up with innovative teaching methods in order to overcome this issue. The following paper proposes several solutions including Jigsaw, The Cube, Lotus Technique, Brainstorming Methods and proposes the introduction of more modern teaching through different channels of communication and applications, including social media, video-tutorials, blogging.
Celem nauczania jest wyjaśniać i zachęcać poprzez przekazywanie przydatnych informacji ludziom. Obecnie, wraz z rozwojem nowych technologii oraz ogromnym wzrostem ilości informacji pochodzących z internetu, coraz większa grupa nauczycieli zmaga się z problemem dotarcia do słuchacza. Uczniowie tracą zainteresowanie gdy stosowane są tradycyjne metody nauczania, dlatego też należy tworzyć nowe, innowacyjne metody aby pokonać ten problem. Niniejszy artykuł proponuje kilka rozwiązań w tym, Jigsaw (układanki), The Cube, technika Lotus, metody burzy mózgów oraz proponuje wprowadzenie bardziej nowoczesnego sposobu nauczania z wykorzystaniem różnych kanałów komunikacji i aplikacji w tym mediów społecznościowych, tutoriali, blogów.
Źródło:
Zeszyty Naukowe Uczelni Jana Wyżykowskiego. Studia z Nauk Technicznych; 2017, 6; 199-211
2543-6740
Pojawia się w:
Zeszyty Naukowe Uczelni Jana Wyżykowskiego. Studia z Nauk Technicznych
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Applying Benjamin Blooms Taxonomy Ideas in Adult Learning
Autorzy:
Grebin, Nataliia
Grabovska, Sofia
Karkovska, Ruslana
Vovk, Anna
Powiązania:
https://bibliotekanauki.pl/articles/628457.pdf
Data publikacji:
2020
Wydawca:
Fundacja Pro Scientia Publica
Tematy:
Bloom’s taxonomy, Bloom’s cube, hierarchy of mental operations, adult learning.
Opis:
Aim. The research goal of this paper is to theoretically substantiate the feasibility of using Benjamin Bloom’s psychological and pedagogical model and its modifications in the adult learning system. Methods. The study used the methods of theoretical analysis, synthesis and modelling of the implementation options for Bloom’s techniques in the training of adults. Results and Conclusions. The analysis showed that the use of techniques based on Bloom’s taxonomy, modified for adult training, makes it possible to develop students’ skills and abilities to thoroughly and comprehensively analyse the problem, and to find creative, effective solutions. Such a sequence of task setting as “reproduction” (knowledge), “understanding” (comprehension), “application,” “analysis,” “evaluation,” and “creation” is proposed as a general scheme of various training for adults. In particular, an example of the design of training in developing communication skills and training in overcoming procrastination skills is given.
Źródło:
Journal of Education Culture and Society; 2020, 11, 1; 61-72
2081-1640
Pojawia się w:
Journal of Education Culture and Society
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The Potential Contribution of Earth Observation Data Cubes for the Production of Information for Sustainable Development in Emerging Countries
Autorzy:
Merodio Gómez, Paloma
Ramírez Santiago, Andrea
Juárez Carrillo, Olivia Jimena
Jiménez Nava, Francisco Javier
Powiązania:
https://bibliotekanauki.pl/articles/2105515.pdf
Data publikacji:
2022
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
Earth observation
Geospatial Data Cube
satellite imagery
Sustainable Development Goals
emerging countries
Opis:
One of the great challenges of achieving the shared vision of the 2030 Agenda for Sustainable Development is having high-quality, timely, comparable, and accessible data that allows to measure and report progress on the Sustainable Development Goals (SDG). Hence, in many countries, geospatial information (including Earth observation) and algorithms implemented in cloud computing platforms have become important tools to monitor indicators of the SDG thanks to their broad accessibility and global coverage. However, emerging countries still face barriers to the implementation of technologies to manage the large amounts of EO data. This article aims to show the advantages of satellite-based EO in the measurement of SDG indicators, as well as challenges emerging countries face in the use of these technological tools. It addresses why the open-source tool Open Data Cube (ODC) should be seen as a response to the said challenges. Finally, there is a description regarding the experience of Mexico with the use and application of this tool for the measurement of SDG indicators, from the development and implementation of the Mexican Geospatial Data Cube (MGDC) to the results obtained from its application in the support for the measurement of SDG indicators 6.6.1 Change in the extent of water-related ecosystems over time and 15.1.1 Forest area as a proportion of total land area.
Źródło:
Geomatics and Environmental Engineering; 2022, 16, 3; 131--155
1898-1135
Pojawia się w:
Geomatics and Environmental Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On θ-graphs of partial cubes
Autorzy:
Klavžar, Sandi
Kovse, Matjaz
Powiązania:
https://bibliotekanauki.pl/articles/743784.pdf
Data publikacji:
2007
Wydawca:
Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
Tematy:
intersection graph
partial cube
median graph
expansion theorem
Cartesian product of graphs
Opis:
The Θ-graph Θ(G) of a partial cube G is the intersection graph of the equivalence classes of the Djoković-Winkler relation. Θ-graphs that are 2-connected, trees, or complete graphs are characterized. In particular, Θ(G) is complete if and only if G can be obtained from K₁ by a sequence of (newly introduced) dense expansions. Θ-graphs are also compared with familiar concepts of crossing graphs and τ-graphs.
Źródło:
Discussiones Mathematicae Graph Theory; 2007, 27, 2; 313-321
2083-5892
Pojawia się w:
Discussiones Mathematicae Graph Theory
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Compositions of simple maps
Autorzy:
Krzempek, Jerzy
Powiązania:
https://bibliotekanauki.pl/articles/1205181.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
composition
simple map
closed map
map of order ≤ k
finite-dimensional
zero-dimensional
Cantor cube
Opis:
A map (= continuous function) is of order ≤ k if each of its point-inverses has at most k elements. Following [4], maps of order ≤ 2 are called simple.
 Which maps are compositions of simple closed [open, clopen] maps? How many simple maps are really needed to represent a given map? It is proved herein that every closed map of order ≤ k defined on an n-dimensional metric space is a composition of (n+1)k-1 simple closed maps (with metric domains). This theorem fails to be true for non-metrizable spaces. An appropriate map on a Cantor cube of uncountable weight is described.
Źródło:
Fundamenta Mathematicae; 1999, 162, 2; 149-162
0016-2736
Pojawia się w:
Fundamenta Mathematicae
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 22

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