Academic literature on the topic 'Universal Functions'

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Journal articles on the topic "Universal Functions"

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Larson, Paul B., Arnold W. Miller, Juris Steprāns, and William A. R. Weiss. "Universal functions." Fundamenta Mathematicae 227, no. 3 (2014): 197–245. http://dx.doi.org/10.4064/fm227-3-1.

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Bonilla, A. "Universal harmonic functions." Quaestiones Mathematicae 25, no. 4 (December 2002): 527–30. http://dx.doi.org/10.2989/16073600209486036.

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Aron, Richard, and Dinesh Markose. "ON UNIVERSAL FUNCTIONS." Journal of the Korean Mathematical Society 41, no. 1 (January 1, 2004): 65–76. http://dx.doi.org/10.4134/jkms.2004.41.1.065.

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Chan, Kit C. "Universal meromorphic functions." Complex Variables, Theory and Application: An International Journal 46, no. 4 (November 2001): 307–14. http://dx.doi.org/10.1080/17476930108815418.

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Bogmér, A., and A. Sövergjártó. "On universal functions." Acta Mathematica Hungarica 49, no. 1-2 (March 1987): 237–39. http://dx.doi.org/10.1007/bf01956327.

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Al-Roomi, Ali R., and Mohamed E. El-Hawary. "Universal Functions Originator." Applied Soft Computing 94 (September 2020): 106417. http://dx.doi.org/10.1016/j.asoc.2020.106417.

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Gorkin, Pamela, and Raymond Mortini. "Universal Singular Inner Functions." Canadian Mathematical Bulletin 47, no. 1 (March 1, 2004): 17–21. http://dx.doi.org/10.4153/cmb-2004-003-0.

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AbstractWe show that there exists a singular inner function S which is universal for noneuclidean translates; that is one for which the set is locally uniformly dense in the set of all zero-free holomorphic functions in bounded by one.
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Khisamiev, A. N. "Universal Functions Over Trees." Algebra and Logic 54, no. 2 (May 2015): 188–93. http://dx.doi.org/10.1007/s10469-015-9338-5.

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Polyakov, E. A. "On R-Universal Functions." Mathematical Notes 78, no. 1-2 (July 2005): 234–38. http://dx.doi.org/10.1007/s11006-005-0120-1.

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Costakis, GG, V. Nestoridis, and V. Vlachou. "Smooth univalent universal functions." Mathematical Proceedings of the Royal Irish Academy 107, no. 1 (January 1, 2007): 101–14. http://dx.doi.org/10.3318/pria.2007.107.1.101.

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Dissertations / Theses on the topic "Universal Functions"

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Ura, Hiroyuki. "Checking theory and grammatical functions in universal grammar /." New York [u.a.] : Oxford Univ. Press, 2000. http://www.loc.gov/catdir/enhancements/fy0605/99023232-d.html.

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Beise, Hans-Peter [Verfasser], and Jürgen [Akademischer Betreuer] Müller. "Universal and Frequently Universal Functions of Exponential Type / Hans-Peter Beise ; Betreuer: Jürgen Müller." Trier : Universität Trier, 2011. http://d-nb.info/1197697012/34.

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Pohl, Daniel [Verfasser], Oliver [Gutachter] Roth, and Jürgen [Gutachter] Müller. "Universal Locally Univalent Functions and Universal Conformal Metrics / Daniel Pohl ; Gutachter: Oliver Roth, Jürgen Müller." Würzburg : Universität Würzburg, 2019. http://d-nb.info/1180286685/34.

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Groft, Chad. "Isoperimetric functions on the universal covers of compact spaces /." May be available electronically:, 2007. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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Abidin, Aysajan. "Weaknesses of Authentication inQuantum Cryptography and Strongly Universal Hash Functions." Licentiate thesis, Linköping University, Linköping University, Department of Mathematics, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-57290.

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Authentication is an indispensable part of Quantum Cryptography, which is an unconditionally secure key distribution technique based on the laws of nature. Without proper authentication, Quantum Cryptography is vulnerable to “man-in-the-middle” attacks. Therefore, to guarantee unconditional security of any Quantum Cryptographic protocols, the authentication used must also be unconditionally secure. The standard in Quantum Cryptography is to use theWegman-Carter authentication, which is unconditionally secure and is based on the idea of universal hashing.

In this thesis, we first investigate properties of a Strongly Universal hash function family to facilitate understanding the properties of (classical) authentication used in Quantum Cryptography. Then, we study vulnerabilities of a recently proposed authentication protocol intended to rule out a "man-in-the-middle" attack on Quantum Cryptography. Here, we point out that the proposed authentication primitive is not secure when used in a generic Quantum Cryptographic protocol. Lastly, we estimate the lifetime of authentication using encrypted tags when the encryption key is partially known. Under simplifying assumptions, we derive that the lifetime is linearly dependent on the length of the authentication key. Experimental results that support the theoretical results are also presented.

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Abidin, Aysajan. "Authentication in Quantum Key Distribution : Security Proof and Universal Hash Functions." Doctoral thesis, Linköpings universitet, Informationskodning, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-91265.

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Quantum Key Distribution (QKD) is a secret key agreement technique that consists of two parts: quantum transmission and measurement on a quantum channel, and classical post-processing on a public communication channel. It enjoys provable unconditional security provided that the public communication channel is immutable. Otherwise, QKD is vulnerable to a man-in-the-middle attack. Immutable public communication channels, however, do not exist in practice. So we need to use authentication that implements the properties of an immutable channel as well as possible. One scheme that serves this purpose well is the Wegman-Carter authentication (WCA), which is built upon Almost Strongly Universal2 (ASU2) hashing. This scheme uses a new key in each authentication attempt to select a hash function from an ASU2 family, which is then used to generate the authentication tag for a message. The main focus of this dissertation is on authentication in the context of QKD. We study ASU2 hash functions, security of QKD that employs a computationally secure authentication, and also security of authentication with a partially known key. Specifically, we study the following. First, Universal hash functions and their constructions are reviewed, and as well as a new construction of ASU2 hash functions is presented. Second, security of QKD that employs a specific computationally secure authentication is studied. We present detailed attacks on various practical implementations of QKD that employs this authentication. We also provide countermeasures and prove necessary and sufficient conditions for upgrading the security of the authentication to the level of unconditional security. Third, Universal hash function based multiple authentication is studied. This uses a fixed ASU2 hash function followed by one-time pad encryption, to keep the hash function secret. We show that the one-time pad is necessary in every round for the authentication to be unconditionally secure. Lastly, we study security of the WCA scheme, in the case of a partially known authentication key. Here we prove tight information-theoretic security bounds and also analyse security using witness indistinguishability as used in the Universal Composability framework.
ICG QC
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Abidin, Aysajan. "Weaknesses of Authentication in Quantum Cryptography and Strongly Universal Hash Functions." Licentiate thesis, Linköpings universitet, Tillämpad matematik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-57290.

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Authentication is an indispensable part of Quantum Cryptography, which is an unconditionally secure key distribution technique based on the laws of nature. Without proper authentication, Quantum Cryptography is vulnerable to “man-in-the-middle” attacks. Therefore, to guarantee unconditional security of any Quantum Cryptographic protocols, the authentication used must also be unconditionally secure. The standard in Quantum Cryptography is to use theWegman-Carter authentication, which is unconditionally secure and is based on the idea of universal hashing. In this thesis, we first investigate properties of a Strongly Universal hash function family to facilitate understanding the properties of (classical) authentication used in Quantum Cryptography. Then, we study vulnerabilities of a recently proposed authentication protocol intended to rule out a "man-in-the-middle" attack on Quantum Cryptography. Here, we point out that the proposed authentication primitive is not secure when used in a generic Quantum Cryptographic protocol. Lastly, we estimate the lifetime of authentication using encrypted tags when the encryption key is partially known. Under simplifying assumptions, we derive that the lifetime is linearly dependent on the length of the authentication key. Experimental results that support the theoretical results are also presented.
ICG QC
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Gomes, Victor pereira. "Funções recursivas primitivas: caracterização e alguns resultados para esta classe de funções." Universidade Federal da Paraíba, 2016. http://tede.biblioteca.ufpb.br:8080/handle/tede/8514.

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Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES
The class of primitive recursive functions is not a formal version to the class of algorithmic functions, we study this special class of numerical functions due to the fact of that many of the functions known as algorithmic are primitive recursive. The approach on the class of primitive recursive functions aims to explore this special class of functions and from that, present solutions for the following problems: (1) given the class of primitive recursive derivations, is there an algorithm, that is, a mechanical procedure for recognizing primitive recursive derivations? (2) Is there a universal function for the class of primitive recursive functions? If so, is this function primitive recursive? (3) Are all the algorithmic functions primitive recursive? To provide solutions to these issues, we base on the hypothetical-deductive method and argue based on the works of Davis (1982), Mendelson (2009), Dias e Weber (2010), Rogers (1987), Soare (1987), Cooper (2004), among others. We present the theory of Turing machines which is a formal version to the intuitive notion of algorithm, and after that the famous Church-Turing tesis which identifies the class of algorithmic functions with the class of Turing-computable functions. We display the class of primitive recursive functions and show that it is a subclass of Turing-computable functions. Having explored the class of primitive recursive functions we proved as results that there is a recognizer algorithm to the class of primitive recursive derivations; that there is a universal function to the class of primitive recursive functions which does not belong to this class; and that not every algorithmic function is primitive recursive.
A classe das funções recursivas primitivas não constitui uma versão formal para a classe das funções algorítmicas, estudamos esta classe especial de funções numéricas devido ao fato de que muitas das funções conhecidas como algorítmicas são recursivas primitivas. A abordagem acerca da classe das funções recursivas primitivas tem como objetivo explorar esta classe especial de funções e, a partir disto, apresentar soluções para os seguintes problemas: (1) dada a classe das derivações recursivas primitivas, há um algoritmo, ou seja, um procedimento mecânico, para reconhecer derivações recursivas primitivas? (2) Existe uma função universal para a classe das funções recursivas primitivas? Se sim, essa função é recursiva primitiva? (3) Toda função algorítmica é recursiva primitiva? Para apresentar soluções para estas questões, nos pautamos no método hipotético-dedutivo e argumentamos com base nos manuais de Davis (1982), Mendelson (2009), Dias e Weber (2010), Rogers (1987), Soare (1987), Cooper (2004), entre outros. Apresentamos a teoria das máquinas de Turing, que constitui uma versão formal para a noção intuitiva de algoritmo, e, em seguida, a famosa tese de Church-Turing, a qual identifica a classe das funções algorítmicas com a classe das funções Turing-computáveis. Exibimos a classe das funções recursivas primitivas, e mostramos que a mesma constitui uma subclasse das funções Turing-computáveis. Tendo explorado a classe das funções recursivas primitivas, como resultados, provamos que existe um algoritmo reconhecedor para a classe das derivações recursivas primitivas; que existe uma função universal para a classe das funções recursivas primitivas a qual não pertence a esta classe; e que nem toda função algorítmica é recursiva primitiva.
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Ahmed, Istiaque, and s3119889@student rmit edu au. "Canonical and Perturbed Quantum Potential-Well Problems: A Universal Function Approach." RMIT University. Electrical and Computer Engineering, 2007. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20080108.124715.

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The limits of the current micro-scale electronics technology have been approaching rapidly. At nano-scale, however, the physical phenomena involved are fundamentally different than in micro-scale. Classical and semi-classical physical principles are no longer powerful enough or even valid to describe the phenomena involved. The rich and powerful concepts in quantum mechanics have become indispensable. There are several commercial software packages already available for modeling and simulation of the electrical, magnetic, and mechanical characteristics and properties of the nano-scale devices. However, our objective here is to go one step further and create a physics-based problem-adapted solution methodology. We carry out computation for eigenfunctions of canonical and the associated perturbed quantum systems and utilize them as co-ordinate functions for solving more complex problems. We have profoundly worked with the infinite quantum potential-well problem, since they have closed-form solutions and therefore are analytically known eigenfunctions. Perturbation of the infinite quantum potential-well was done through a single box function, multiple box functions, and with a triangular function. The proposed solution concept utilizes the notion of
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Pinheiro, Leonardo V. "Chaotic Extensions for General Operators on a Hilbert Subspace." Bowling Green State University / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399157158.

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Books on the topic "Universal Functions"

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Checking theory and grammatical functions in universal grammar. New York: Oxford University Press, 2000.

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1975-, Teo Lee-Peng, ed. Weil-Petersson metric on the universal Teichmüller space. Providence, R.I: American Mathematical Society, 2006.

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Kalnins, E. G. Models of q-algebra representations. Hamilton, N.Z: University of Waikato, 1992.

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Kalnins, E. G. Models of q-algebra representations. Hamilton, N.Z: University of Waikato, 1992.

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Freese, Ralph. Commutator theory for congruence modular varieties. Cambridge: Cambridge University Press, 1987.

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Foundations and functions of theology as a universal science: Theological method and apologetic praxis in Wolfhart Pannenberg and Karl Rahner. Frankfurt am Main: P. Lang, 1996.

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Xu, Ding. Functional categories in Mandarin Chinese. The Hague: Holland Academic Graphics, 1997.

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Function, selection, and innateness: The emergence of language universals. Oxford: Oxford University Press, 1999.

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Vasanthi, T. Optimum Reliability Analysis of Mobile Adhoc Networks using Universal Generating Function under Limited Delivery Time and Cost. Edited by Kokula Krishna Hari K and K. Saravanan. Tiruppur, Tamil Nadu, India: Association of Scientists, Developers and Faculties, 2016.

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Herms, Ronald. An apocalypse for the church and for the world: The narrative function of universal language in the book of Revelation. Berlin: Walter de Gruyter, 2006.

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Book chapters on the topic "Universal Functions"

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Rudeanu, Sergiu. "Universal algebra." In Lattice Functions and Equations, 13–30. London: Springer London, 2001. http://dx.doi.org/10.1007/978-1-4471-0241-0_2.

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Shen, A., and N. Vereshchagin. "Universal functions and undecidability." In The Student Mathematical Library, 11–18. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/stml/019/02.

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Abidin, Aysajan, and Jan-Åke Larsson. "New Universal Hash Functions." In Research in Cryptology, 99–108. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-34159-5_7.

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Korogodski, Leonid, and Yan Soibelman. "Quantized universal enveloping algebras." In Algebras of Functions on Quantum Groups: Part I, 57–94. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/surv/056/03.

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Nevelsteen, Wim, and Bart Preneel. "Software Performance of Universal Hash Functions." In Advances in Cryptology — EUROCRYPT ’99, 24–41. Berlin, Heidelberg: Springer Berlin Heidelberg, 1999. http://dx.doi.org/10.1007/3-540-48910-x_3.

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Mesiar, Radko, and Andrea Stupňanová. "Capacities, Survival Functions and Universal Integrals." In Advances in Intelligent Systems and Computing, 1–8. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-59306-7_1.

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Duval, Sébastien, and Gaëtan Leurent. "Lightweight MACs from Universal Hash Functions." In Smart Card Research and Advanced Applications, 195–215. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-42068-0_12.

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Preneel, Bart. "Universal One-Way Hash Functions (UOWHF)." In Encyclopedia of Cryptography and Security, 1349–50. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-5906-5_624.

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Goldman, Leon. "Individual and Universal Eschatology in Zoroastrianism." In Eschatology in Antiquity: Forms and Functions, 34–48. London: Routledge, 2021. http://dx.doi.org/10.4324/9781315459486-2.

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Schlage-Puchta, Jan-Christoph. "The Non-existence of Universal Carmichael Numbers." In From Arithmetic to Zeta-Functions, 435–53. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-28203-9_26.

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Conference papers on the topic "Universal Functions"

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Mussardo, Giuseppe, and G. Delfino. "Universal ratios and correlation functions." In Workshop on Integrable Theories, Solitons and Duality. Trieste, Italy: Sissa Medialab, 2002. http://dx.doi.org/10.22323/1.008.0007.

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Robinson, Michael. "Universal factorizations of quasiperiodic functions." In 2015 International Conference on Sampling Theory and Applications (SampTA). IEEE, 2015. http://dx.doi.org/10.1109/sampta.2015.7148959.

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Al-Roomi, Ali R., and Mohamed E. El-Hawary. "Universal Functions Originator—Part I: Design." In 2019 IEEE Canadian Conference of Electrical and Computer Engineering (CCECE). IEEE, 2019. http://dx.doi.org/10.1109/ccece.2019.8861880.

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Al-Roomi, Ali R., and Mohamed E. El-Hawary. "Universal Functions Originator—Part II: Evaluation." In 2019 IEEE Canadian Conference of Electrical and Computer Engineering (CCECE). IEEE, 2019. http://dx.doi.org/10.1109/ccece.2019.8861890.

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Thakur, Shashidhar, and D. F. Wong. "Universal logic modules for series-parallel functions." In the 1996 ACM fourth international symposium. New York, New York, USA: ACM Press, 1996. http://dx.doi.org/10.1145/228370.228375.

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Hovanov, N. V., V. V. Kornikov, and I. A. Seregin. "Universal representation of fuzzy sets' membership functions." In Proceedings of 8th International Fuzzy Systems Conference. IEEE, 1999. http://dx.doi.org/10.1109/fuzzy.1999.793229.

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Neydorf, Rudolf, Dean Vucinic, and Ivan Chernogorov. "Universal generator of irregular multidimensional multiextremal functions." In 2017 IEEE East-West Design & Test Symposium (EWDTS). IEEE, 2017. http://dx.doi.org/10.1109/ewdts.2017.8110046.

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Safdari, Mustafa. "Evolving universal hash functions using genetic algorithms." In the 11th annual conference companion. New York, New York, USA: ACM Press, 2009. http://dx.doi.org/10.1145/1570256.1570396.

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Colbert, Brendon K., and Matthew M. Peet. "Using SDP to Parameterize Universal Kernel Functions." In 2019 IEEE 58th Conference on Decision and Control (CDC). IEEE, 2019. http://dx.doi.org/10.1109/cdc40024.2019.9030084.

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Ruslan, Vikhorev. "Universal logic cells to implement systems functions." In 2016 IEEE NW Russia Young Researchers in Electrical and Electronic Engineering Conference (EIConRusNW). IEEE, 2016. http://dx.doi.org/10.1109/eiconrusnw.2016.7448197.

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Reports on the topic "Universal Functions"

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Carlson, Joseph, Richard Furnstahl, Mihai Horoi, Rusty Lusk, Witold Nazarewicz, Esmond Ng, Ian Thompson, and James Vary. Universal Nuclear Energy Density Functional. Office of Scientific and Technical Information (OSTI), December 2012. http://dx.doi.org/10.2172/1157042.

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Zinenko, Olena. THE SPECIFICITY OF INTERACTION OF JOURNALISTS WITH THE PUBLIC IN COVERAGE OF PUBLIC EVENTS ON SOCIAL TOPICS. Ivan Franko National University of Lviv, February 2021. http://dx.doi.org/10.30970/vjo.2021.49.11056.

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Consideration of aspects of the functioning of mass media in society requires a comprehensive approach based on universal media theory. The article presents an attempt to consider public events in terms of a functional approach to understanding the media, proposed by media theorist Dennis McQuayl in the theory of mass communication. Public events are analyzed, on the one hand, as a complex object of journalistic reflection and, on the other hand, as a situational media that examines the relationship of agents of the social and media fields in the space of communication interaction. Taking into account philosophical approaches to the interpretation of the concept of event, considering its semantic spectrum, specificity of use and synonyms in the Ukrainian language, a working definition of the concept of public event is given. Based on case-analysis of public events, In accordance with the functions of the media the functions of public events are outlined. This is is promising for the development of study on typology of public events in the context of mass communication theory. The realization of the functions of public events as situational media is illustrated with such vivid examples of cultural events as «Gogolfest» and «Book Forum in Lviv». The author shows that a functional approach to understanding public events in society and their place in the space of mass communication, opens prospects for studying the role of media in reflecting the phenomena of social reality, clarifying the presence and quality of communication between media producers and media consumers.
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Lin, Daw-Tung, and Judith E. Dayhoff. Network Unfolding Algorithm and Universal Spatiotemporal Function Approximation. Fort Belvoir, VA: Defense Technical Information Center, January 1994. http://dx.doi.org/10.21236/ada453011.

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de Leeuw, Gerrit. Toward a Universal Sea Spray Source Function (UNISOURCE). Fort Belvoir, VA: Defense Technical Information Center, September 2003. http://dx.doi.org/10.21236/ada630210.

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Carlson, Joe A., Dick Furnstahl, Mihai Horoi, Rusty Lust, Witek Nazaewicc, Esmond Ng, Ian Thompson, and James Vary. Building a Universal Nuclear Energy Density Functional. Office of Scientific and Technical Information (OSTI), December 2012. http://dx.doi.org/10.2172/1163477.

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Bertulani, Carlos A. Building a Universal Nuclear Energy Density Functional. Office of Scientific and Technical Information (OSTI), September 2014. http://dx.doi.org/10.2172/1155011.

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Nazarewicz, Witold. Building a universal nuclear energy density functional (UNEDF). Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1116134.

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Joe Carlson, Dick Furnstahl, Mihai Horoi, Rusty Lusk, Witek Nazarewicz, Esmond Ng, Ian Thompson, and James Vary. Building A Universal Nuclear Energy Density Functional (UNEDF). Office of Scientific and Technical Information (OSTI), September 2012. http://dx.doi.org/10.2172/1060545.

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Vary, James P., Joe Carlson, Dick Furnstahl, Mihai Horoi, Rusty Lusk, Witek Nazarewicz, Esmond Ng, and Ian Thompson. Building a Universal Nuclear Energy Density Functional (UNEDF). SciDAC-2 Project. Office of Scientific and Technical Information (OSTI), September 2012. http://dx.doi.org/10.2172/1168663.

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Carlson, Joe, Dick Furnstahl, Rusty Lusk, Witek Nazarewicz, Esmond Ng, Ian Thompson, and James Vary. Building a Universal Nuclear Energy Density Functional (UNEDF): SciDAC-2 Project. Office of Scientific and Technical Information (OSTI), June 2012. http://dx.doi.org/10.2172/1150654.

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