nach oben

Erschienen in:

2018 | OriginalPaper | Buchkapitel

5. Formalization of System Links: Different Approaches. Duality in Smart Systems Theory

verfasst von : Natalia Serdyukova, Vladimir Serdyukov

Erschienen in: Algebraic Formalization of Smart Systems

Verlag: Springer International Publishing

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

In this chapter we consider the following main questions: different approaches to the definition of duality in Smart Systems Theory, measurement of the system’s links strength, the group of links on the Cayley Graph of the system, the concept of efficiency and its formalization, the concept of \(P\)-efficiency of a system, \(P\)-subgroups of effective links of a system. In addition to Chap. 4 in this chapter we shall continue to study the links of the system and define another group of system’s links as a group defined on the Cayley graph of the group of factors that determine the system. Then we proceed to study the subgroups of effective connections of the system. We shall also introduce the notion of a common efficiency problem with risks. The next question that we shall consider in this chapter is the use of duality in systems theory. We shall give a brief survey of some of the methods that are useful to investigate the duality.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Jetzt informieren

Vorheriges Kapitel External and Internal Properties of a System. Integrity and P-Integrity of a System by Predicate P. Formalization Smart Systems’ Axiomatic

Nächstes Kapitel P-Innovative and P-Pseudo-Innovative Systems on the Predicate P and Their Properties

Petrov, A.E.: Tensor method of dual networks. LLC “Center for Information Technologies in Environmental Management”, Moscow (2007)

Aspinwall, P.S.: String theory and duality. In: Proceedings of the ICM. vol. 2. pp. 229–238. DUKE-CGTP-98-06 math.AG/9809004 (1998)

Yau, S.T., Nadis, S.: Sting Theory and the Geometry of the Hidden Dimensions, Basic Books. A Member of the Perseus Books Group, New York (2010)

Daniyarova, E.Y., Myasnikov, A.G., Remeslennikov, V.N.: Algebraic geometry over algebraic systems. II. Found. Fundam. Appl. Math. 17(1), 65–106 (2011/2012)

Rebinder, P.A.: Selected works. Surface phenomena in disperse systems. In: Colloid Chemistry. Science, Moscow (1978)

Granovetter, M.S.: Getting a Job: A Study of Contacts and Careers, 2nd edn. University of Chicago Press, (1985) (orig 1974)

Freeman, L.C, White D.R., Romney, A.K. (eds.): Research Methods in Social Network Analysis. George Mason University Press, Fairfax, VA (1989)

Burt, R.S.: Structural Holes: The Social Structure of Competition. Harvard University Press, Cambridge (1992)

Granovetter, M.S.: The strength of weak ties. Am. J. Psychol. 78(6), 1360–1380 (1973)

10.

Gelfand, I.M.: Lectures on linear algebra. Interscience Publishers, Inc., New York, LTD, London (1998)

11.

Bucur, I., Deleanu, A.: Introduction to the theory of categories and functors, pure and applied mathematics, vol. 19. Interscience Publishers (1968)

12.

Artamonov, V.A., Salii, V.N., Skornyakov, L.A., Shevrin, L.N., Shul’geifer, E.G.: General Algebra, vol. 2. Science, Main Edition of the Physical and Mathematical literature, Moscow (1991). (in Russian)

13.

Kantorovich, L.V.: Mathematical methods of organization and planning of production. Manage. Sci. 6(4), 366–422 (1960). (origin 1939 in Russian)CrossRefMATH

14.

Dantzig, G.B.: Reminiscences about the origins of linear programming. Oper. Res. Lett. 1, 43–48. Also in Bachem, A., Grotschel, M., Korte, B. (eds.) Mathematical Programming: The State of the Art, Bonn 1982, pp. 78–86. Springer, Berlin (1983); also in Memoirs of the American Mathematical Society vol. 48, pp. 1–11 (1984). Also in Cottle, R.W., Kelmanson, M.L., Korte, B. (eds.) Mathematical programming, Proceedings of the International Congress on Mathematical Programming, Rio de Janeiro, Brazil, April 6–8, 1981, North-Holland Publishing Co., Amsterdam, 1984, pp. 105–112

15.

Pareto, V.: Manuel of political economy, a critical and variorum edition. In: Montesano, A., Zanni, A., Bruni, L., Chipman, J. S., McLure, M. (eds.) (2014) (origin 1906)

16.

Emerson, H.:The twelve principles of productivity. Economics (1992). (origin The Engineering Magazine Co. New York (1919))

Titel: Formalization of System Links: Different Approaches. Duality in Smart Systems Theory
verfasst von: Natalia Serdyukova
Vladimir Serdyukov
Verlag: Springer International Publishing
Buch: Algebraic Formalization of Smart Systems
Print ISBN: 978-3-319-77050-5

Electronic ISBN: 978-3-319-77051-2

Copyright-Jahr: 2018
DOI: https://doi.org/10.1007/978-3-319-77051-2_5

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partner