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Juan José Montellano-Ballesteros and Anahy Santiago Arguello

–5508. doi:0.1016/j.disc.2009.02.018 [15] C. Praeger, Finite normal edge-transitive Cayley graphs , Bull. Aust. Math. Soc. 60 (1999) 207–220. doi:10.1017/S0004972700036340 [16] J.J. Rotman, An Introduction to the Theory of Groups, Fourth Edition (Springer-Verlag, New York, 1995). [17] F. Menegazzo, The number of generator of a finite group , Irish Math. Soc. Bull. 50 (2003) 117–128. [18] P.E. Schupp, On the structure of hamiltonian cycles in Cayley graphs of finite quotients of the modular group , Theoret. Comput. Sci. 204 (1998) 233

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Artur Korniłowicz, Ievgen Ivanov and Mykola Nikitchenko

Ivanov. On the underapproximation of reach sets of abstract continuous-time systems. In Erika Ábrahám and Sergiy Bogomolov, editors, Proceedings 3rd International Workshop on Symbolic and Numerical Methods for Reachability Analysis, SNR@ETAPS 2017, Uppsala, Sweden, 22nd April 2017 , volume 247 of EPTCS , pages 46–51, 2017. doi:10.4204/EPTCS.247.4. [11] Ievgen Ivanov. On representations of abstract systems with partial inputs and outputs. In T. V. Gopal, Manindra Agrawal, Angsheng Li, and S. Barry Cooper, editors, Theory and Applications of Models of

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Nina Zhuravska


The article analyzes methodological approaches to constructing a didactic model of specialist courses in Ukraine and France. It is found that the main elements of higher education are knowledge, modes of activity (abilities, skills), creative search activities and emotional education. It is specified that knowledge is a system of determined acquired concepts, patterns of phenomena and objects of the objective world. It is clarified that the system of knowledge gained from specialist courses contains the following types of knowledge: scientific (scientific data on which a particular course is based); scientific and historical (the evolution of concepts, ideas and ways of their discovery); methodological (a set of knowledge about science methodology); philosophical, logical and interdisciplinary (the reflection of scientific connections in educational information); evaluative (the description of the individual’s relation to the world and his/her system of values). It is stated that the modes of activity are viewed as general scientific, professional and specialist abilities and skills and in terms of psychology – sensory, motor, sensory and motor, intellectual ones. Intellectual skills and abilities include note taking, working with reference literature, writing abstracts and reviews, preparing simple projects (maps, diagrams). It is noted that creative search activities imply a readiness to find solutions to new problems. They also involve applying knowledge and skills in non-standard conditions, considering a new problem under normal conditions, combining well-known modes of activity independently and applying a fundamentally new way of solving the problem. It is highlighted that emotional education is characterized by evaluative knowledge and norms of relation to the world. It is proved that the difference between academic courses and science lies in the fact that it includes only the main principles of one or another field of knowledge within a particular science available for students to acquire.

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B. O. Onasanya and S. Hoskova-Mayerova

Fuzzy Coalitions. Studies in Fuzziness and Soft Computing, (2017), 451464. doi:10.1007/978-3-319-60207-3 2 6. [18] N. P. Mukherjee and P. Bhattacharya, Fuzzy normal subgroups and fuzzy cosets, Information Sciences. 34 (1984), 225–239. [19] M. Norouzi, I. Cristea, A new type of fuzzy subsemihypermodules, J. Intell. Fuzzy Systems, 32(3), 1711-1717, doi: 10.3233/JIFS-151867, (2017). [20] B. O. Onasanya, Some topological concepts via level subsets of a fuzzy subset, Advances in Fuzzy Sets and Systems 20(2) (2015), 177–188. [21] A. Saeid, C. Flaut

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Piergiulio Corsini

References [1] R. Ameri, M.M. Zahedi, Hypergroup and join space induced by a fuzzy subset, PU.M.A., vol. 8, (2-3-4) (1997). [2] P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, (1993). [3] P. Corsini, On Chinese hyperstructures, J. of Discrete Math. Sci and Cryptography, Vol 6 (2-3) (2003). [4] P. Corsini, Join Spaces, Power Sets, Fuzzy Sets, Proc. Fifth Interna- tional Congress on A.H.A., 1993, Iasi, Romania [5] P. Corsini, A new connection between hypergroups and

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Ling Wei, Haiyun Xu, Zhenmeng Wang, Kun Dong, Chao Wang and Shu Fang

characteristics of the original network, but not be too sparse. After several attempts, the nodes with degrees less than five, and the lines with weights below three or above 10 are removed; Extraction of weak tie network: By removing all internal lines of each cluster, the weak tie network is extracted from the weak tie co-occurrence network; Building of indicators: In order to analyze the roles and functions of weak subnets and weak nodes, a series of connection indicators are proposed; and Analysis of subnets and nodes: In the last step, we try to find the answers to

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Del Río-Correa J.L., López-García J. and Durán-Meza G.

_i ^{\varphi_i} \end{array} $$ (B-2) Eggleston used this theorem to characterize the “length” of non-normal sets of numbers. However, when it is rewritten in the form: Dim H M ( φ 0 , φ 1 , … , φ s − 1 ) = − 1 ln ⁡ s ∑ j = 0 s − 1 φ j ln ⁡ φ j $$\begin{array}{} \displaystyle \text{Dim}_H \,M(\varphi_0, \varphi_1, \ldots, \varphi_{s-1}) = - \frac{1}{\ln s}\sum\limits_{j=0}^{s-1} \varphi_j \ln \varphi_j \end{array} $$ (B-3) This result suggests a connection with probability theory, because the r.h.s recalls the entropy of a stochastic process, but here {φ i } is a

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Łukasz Fiedeń

has been analysed according to the modified method described by R. Guzik (2010 , 2012 ), in a database containing information on direct public transport connections (travel time and number of bus runs) between Brzozów and: Rzeszów (the capital of Podkarpackie Province); the capitals of the municipalities Capital of municipality –the main town or village in the municipality where the municipal office is located in Brzozów District (Domaradz, Dydnia, Haczów, Jasienica Rosielna, Nozdrzec); capitals of districts surrounding Brzozów District (Krosno

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M. Fernández-Martínez

a suitable discretization regarding both the Hausdorff measure and dimension. Thus, we shall provide some connections among this middle definition and the classical ones as well as with both fractal dimensions I and II explored in previous Sections 3 and 4 . In this way, we shall generalize them and provide an easy expression to calculate the fractal dimension of strict self-similar sets not required to satisfy the so-called open set condition. The results appeared along this section were first contributed in [ 27 ]. In Section 6 , we study how to generalize

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Jiao Li, Si Zheng, Hongyu Kang, Zhen Hou and Qing Qian

.g. GEO and ArrayExpress) and the literature ( Piwowar & Chapman, 2010 ; Piwowar & Vision, 2013 ). Yu et al. constructed a database link network from a set of pairs of databases that were co-mentioned in the methodology sections of full-text literature to track the database usage, connection, and evolution ( Yu et al., 2015 ). These efforts have improved the understanding of data citations for specific databases that have identical accession numbers. However, few studies have been conducted to identify data-literature citation relationships for data generated by a