Academic literature on the topic 'Space Of Continuous Functions'

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Journal articles on the topic "Space Of Continuous Functions"

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ALIPRANTIS, CHARALAMBOS D., DAVID HARRIS, and RABEE TOURKY. "CONTINUOUS PIECEWISE LINEAR FUNCTIONS." Macroeconomic Dynamics 10, no. 1 (2005): 77–99. http://dx.doi.org/10.1017/s1365100506050103.

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The paper studies the function space of continuous piecewise linear functions in the space of continuous functions on them-dimensional Euclidean space. It also studies the special case of one dimensional continuous piecewise linear functions. The study is based on the theory of Riesz spaces that has many applications in economics. The work also provides the mathematical background to its sister paper Aliprantis, Harris, and Tourky (2006), in which we estimate multivariate continuous piecewise linear regressions by means of Riesz estimators, that is, by estimators of the the Boolean formwhereX=
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Abdullah, Laila S., and Diyar M. Mohammed. "On almost and weakly ip -continuous functions in topological space." Journal of Zankoy Sulaimani - Part A 18, no. 2 (2016): 259–72. http://dx.doi.org/10.17656/jzs.10520.

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Beer, Gerald. "More about metric spaces on which continuous functions are uniformly continuous." Bulletin of the Australian Mathematical Society 33, no. 3 (1986): 397–406. http://dx.doi.org/10.1017/s0004972700003981.

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An Atsuji space is a metric space X such that each continuous function form X to an arbitrary metric space Y is uniformly continuous. We here present (i) characterizations of metric spaces with Atsuji completions; (ii) Cantor-type theorems for Atsuji spaces; (iii) a fixed point theorem for self-maps of an Atsuji space.
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Al-Nashef, Bassam. "rc-continuous functions and functions with rc-strongly closed graph." International Journal of Mathematics and Mathematical Sciences 2003, no. 72 (2003): 4547–55. http://dx.doi.org/10.1155/s0161171203203410.

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The family of regular closed subsets of a topological space is used to introduce two concepts concerning a functionffrom a spaceXto a spaceY. The first of them is the notion offbeing rc-continuous. One of the established results states that a spaceYis extremally disconnected if and only if each continuous function from a spaceXtoYis rc-continuous. The second concept studied is the notion of a functionfhaving an rc-strongly closed graph. Also one of the established results characterizes rc-compact spaces (≡S-closed spaces) in terms of functions that possess rc-strongly closed graph.
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Dow, Alan, та Petr Simon. "Spaces of continuous functions over a Ψ-space". Topology and its Applications 153, № 13 (2006): 2260–71. http://dx.doi.org/10.1016/j.topol.2005.02.013.

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Mykhaylyuk, V. V. "Lebesgue Measurability of Separately Continuous Functions and Separability." International Journal of Mathematics and Mathematical Sciences 2007 (2007): 1–4. http://dx.doi.org/10.1155/2007/54159.

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A connection between the separability and the countable chain condition of spaces withL-property (a topological spaceXhasL-property if for every topological spaceY, separately continuous functionf:X×Y→ℝand open setI⊆ℝ,the setf−1(I)is anFσ-set) is studied. We show that every completely regular Baire space with theL-property and the countable chain condition is separable and constructs a nonseparable completely regular space with theL-property and the countable chain condition. This gives a negative answer to a question of M. Burke.
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Llavona, J. G., and J. A. Jaramillo. "Homomorphisms Between Algebras of Continuous Functions." Canadian Journal of Mathematics 41, no. 1 (1989): 132–62. http://dx.doi.org/10.4153/cjm-1989-007-8.

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We are concerned in this paper with the study of homomorphisms between different algebras of continuous functions, especially the algebras of real functions which are either weakly continuous on bounded sets or weakly uniformly continuous on bounded sets on a Banach space (see definitions below).These spaces of weakly [uniformly] continuous functions appeared in relation with some questions in Infinite-dimensional Approximation Theory (see [4], [6], [11], [12], [13] and [16]); and since the structure of these function spaces is closely related with properties of different weak topologies (the
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Ciesielski, K., and L. Larson. "The space of density continuous functions." Acta Mathematica Hungarica 58, no. 3-4 (1991): 289–96. http://dx.doi.org/10.1007/bf01903959.

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Kawai, Tatsuji. "Formally continuous functions on Baire space." Mathematical Logic Quarterly 64, no. 3 (2018): 192–200. http://dx.doi.org/10.1002/malq.201700015.

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HATORI, OSAMU. "SEPARATION PROPERTIES AND OPERATING FUNCTIONS ON A SPACE OF CONTINUOUS FUNCTIONS." International Journal of Mathematics 04, no. 04 (1993): 551–600. http://dx.doi.org/10.1142/s0129167x93000303.

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Characterizations of the space CR (X) of all real-valued continuous functions on a compact Hausdorff space X among its subspaces are investigated under the circumstances of operating functions. One of the main purpose in this paper is to disprove the following conjecture: if a non-affine function operates on an ultraseparating real Banach function space E on X, then E = CR (X). A positive answer is given in the case that E satisfies a stronger separation axiom than ultraseparation one, which the real part of an ultraseparating Banach function algebra satisfies. For the original conjecture a co
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Dissertations / Theses on the topic "Space Of Continuous Functions"

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Abbott, Catherine Ann. "Operators on Continuous Function Spaces and Weak Precompactness." Thesis, University of North Texas, 1988. https://digital.library.unt.edu/ark:/67531/metadc331171/.

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If T:C(H,X)-->Y is a bounded linear operator then there exists a unique weakly regular finitely additive set function m:-->L(X,Y**) so that T(f) = ∫Hfdm. In this paper, bounded linear operators on C(H,X) are studied in terms the measure given by this representation theorem. The first chapter provides a brief history of representation theorems of these classes of operators. In the second chapter the represenation theorem used in the remainder of the paper is presented. If T is a weakly compact operator on C(H,X) with representing measure m, then m(A) is a weakly compact operator for every Borel
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Agethen, Simone. "Spaces of continuous and holomorphic functions with growth conditions." [S.l. : s.n.], 2004. http://deposit.ddb.de/cgi-bin/dokserv?idn=973690089.

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Kokot, Kevin [Verfasser], Holger [Gutachter] Dette, and Herold [Gutachter] Dehling. "Functional data analysis in the Banach space of continuous functions / Kevin Kokot ; Gutachter: Holger Dette, Herold Dehling ; Fakultät für Mathematik." Bochum : Ruhr-Universität Bochum, 2020. http://d-nb.info/1219736619/34.

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Caldas, Miguel, Erdal Ekici та Saeid Jafari. "On λ-closure spaces". Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/95936.

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In this paper, we show that a pointwise λ -symmetric λ -isotonic λ -closure function is uniquely determined by the pairs of sets it separates. We then show that when the λ -closure function of the domain is λ -isotonic and the λ -closure function of the codomain is λ -isotonic and pointwise- λ -symmetric, functions which separate only those pairs of sets which are already separated are λ -continuous.
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Drees, Kevin Michael. "Cp(X,Z)." Bowling Green, Ohio : Bowling Green State University, 2009. http://rave.ohiolink.edu/etdc/view?acc%5Fnum=bgsu1243803693.

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Hoffmann, Mark. "Topics in complex analysis and function spaces /." free to MU campus, to others for purchase, 2003. http://wwwlib.umi.com/cr/mo/fullcit?p3091931.

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Stover, Derrick D. "Continuous Mappings and Some New Classes of Spaces." View abstract, 2009. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3371579.

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Tárrega, Ruiz Luis. "Interpolation and equicontinuity sets in topological groups and spaces of continuous functions." Doctoral thesis, Universitat Jaume I, 2017. http://hdl.handle.net/10803/460830.

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This thesis studies the relation between the existence of a particular sort of subsets of metric valued continuous functions on a topological space X and the properties of the topological space itself. The dissertation relies on how the existence of subsets of continuous functions that possess one of these two antagonist properties, almost equicontinuity and being a B-family, affects the topological space. The former property appears in the setting of dynamical systems, and the latter is a property stronger that the concept of non-equicontinuity and it is motivated by a result of Bourgain.
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Lewis, Matthew. "Creating continuous design spaces for interactive genetic algorithms with layered, correlated, pattern functions /." The Ohio State University, 2001. http://rave.ohiolink.edu/etdc/view?acc_num=osu1486572165276624.

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Drees, Kevin Michael. "Cp(X,ℤ)". Bowling Green State University / OhioLINK, 2009. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1243803693.

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Books on the topic "Space Of Continuous Functions"

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Groenewegen, G. L. M., and A. C. M. van Rooij. Spaces of Continuous Functions. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-201-4.

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1953-, Ntantu Ibula, ed. Topological properties of spaces of continuous functions. Springer-Verlag, 1988.

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McCoy, Robert A., and Ibula Ntantu. Topological Properties of Spaces of Continuous Functions. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0098389.

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Dales, H. G., F. K. Dashiell,, A. T. M. Lau, and D. Strauss. Banach Spaces of Continuous Functions as Dual Spaces. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32349-7.

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Hudzik, Henryk, and Leszek Skrzypczak. Function spaces, the fifth conference: Proceedings of the conference at Poznan, Poland. Marcel Dekker, 2000.

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Horsley, Anthony. Uninterruptible consumption, concentrated charges, and equilibrium in the comodity space of continuous functions. Suntory and Toyota International Centres for Economics and Related Disciplines, 1996.

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Conference on Function Spaces (7th 2014 Southern Illinois University at Edwardsville). Function spaces in analysis: 7th Conference on Function Spaces, May 20-24, 2014, Southern Illinois University, Edwardsville, Illinois. Edited by Jarosz Krzysztof 1953 editor. American Mathematical Society, 2015.

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Krzysztof, Jarosz, ed. Function spaces in modern analysis: Sixth Conference on Function Spaces, May 18-22, 2010, Southern Illinois University, Edwardsville. American Mathematical Society, 2011.

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Approximation of continuously differentiable functions. North-Holland, 1986.

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Ciesielski, Krzysztof. I-density continuous functions. American Mathematical Society, 1994.

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Book chapters on the topic "Space Of Continuous Functions"

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Guzman, Alberto. "Euclidean Space." In Continuous Functions of Vector Variables. Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0083-3_1.

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Martin, Norman M., and Stephen Pollard. "Continuous Functions." In Closure Spaces and Logic. Springer US, 1996. http://dx.doi.org/10.1007/978-1-4757-2506-3_4.

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Zaanen, Adriaan C. "The Space of Continuous Functions." In Continuity, Integration and Fourier Theory. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/978-3-642-73885-2_1.

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McCoy, Robert A., and Ibula Ntantu. "Function space topologies." In Topological Properties of Spaces of Continuous Functions. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0098391.

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Groenewegen, G. L. M., and A. C. M. van Rooij. "Riesz Spaces." In Spaces of Continuous Functions. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-201-4_5.

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Groenewegen, G. L. M., and A. C. M. van Rooij. "Metrizable Compact Spaces." In Spaces of Continuous Functions. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-201-4_2.

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Komornik, Vilmos. "Spaces of Continuous Functions." In Lectures on Functional Analysis and the Lebesgue Integral. Springer London, 2016. http://dx.doi.org/10.1007/978-1-4471-6811-9_8.

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Groenewegen, G. L. M., and A. C. M. van Rooij. "Topological Preliminaries." In Spaces of Continuous Functions. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-201-4_1.

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Groenewegen, G. L. M., and A. C. M. van Rooij. "The Riesz Representation Theorem." In Spaces of Continuous Functions. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-201-4_10.

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Groenewegen, G. L. M., and A. C. M. van Rooij. "Banach Algebras." In Spaces of Continuous Functions. Atlantis Press, 2016. http://dx.doi.org/10.2991/978-94-6239-201-4_11.

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Conference papers on the topic "Space Of Continuous Functions"

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Rosenberg, Linda, Al Gallo, and Frank Parolek. "Continuous risk management structure of functions at NASA." In Space Technology Conference and Exposition. American Institute of Aeronautics and Astronautics, 1999. http://dx.doi.org/10.2514/6.1999-4455.

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Zhang, Xiao, and Shizhong Liao. "Hypothesis Sketching for Online Kernel Selection in Continuous Kernel Space." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/346.

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Online kernel selection in continuous kernel space is more complex than that in discrete kernel set. But existing online kernel selection approaches for continuous kernel spaces have linear computational complexities at each round with respect to the current number of rounds and lack sublinear regret guarantees due to the continuously many candidate kernels. To address these issues, we propose a novel hypothesis sketching approach to online kernel selection in continuous kernel space, which has constant computational complexities at each round and enjoys a sublinear regret bound. The main idea
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Araujo, Jesús. "Isometric shifts between spaces of continuous functions." In Proceedings of the Fourth International School — In Memory of Professor Antonio Aizpuru Tomás. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814335812_0005.

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Yamaguchi, Akihiko, Jun Takamatsu, and Tsukasa Ogasawara. "Constructing continuous action space from basis functions for fast and stable reinforcement learning." In RO-MAN 2009 - The 18th IEEE International Symposium on Robot and Human Interactive Communication. IEEE, 2009. http://dx.doi.org/10.1109/roman.2009.5326234.

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Latif, Raja Mohammad. "Properties of Theta-Continuous Functions in Topological Spaces." In 2020 International Conference on Mathematics and Computers in Science and Engineering (MACISE). IEEE, 2020. http://dx.doi.org/10.1109/macise49704.2020.00021.

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Khan, M., and Murad Hussain. "On s*g‐continuous Functions on Topological Spaces." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525145.

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Mahmood Mohammed, Fatimah, Mohd Salmi Md Noorani, and Abdul Razak Salleh. "Totally semi-continuous and semi totally-continuous functions in double fuzzy topological spaces." In PROCEEDINGS OF THE 20TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation. AIP, 2013. http://dx.doi.org/10.1063/1.4801238.

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Jianlin Wang, Liangyu Chen, and Zhenbing Zeng. "Formalization of continuous Functions in Topological Spaces using Isabelle/HOL." In 2011 International Conference on System Science, Engineering Design and Manufacturing Informatization (ICSEM). IEEE, 2011. http://dx.doi.org/10.1109/icssem.2011.6081277.

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Khan, M. "Rarely Is*g‐continuous Functions in Ideal Topo‐logical Spaces." In ICMS INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCE. American Institute of Physics, 2010. http://dx.doi.org/10.1063/1.3525183.

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Sudha, S. M., та D. Jayanthi. "Completely β** generalized continuous functions in intuitionistic fuzzy topological spaces". У PROCEEDINGS OF INTERNATIONAL CONFERENCE ON ADVANCES IN MATERIALS RESEARCH (ICAMR - 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0016928.

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Reports on the topic "Space Of Continuous Functions"

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Chen, Qi, and Ivo Babuska. Adaptive Procedure for Approximating Functions by Continuous Piecewise Polynomials. Defense Technical Information Center, 1995. http://dx.doi.org/10.21236/ada301304.

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Woutersen, Tiemen M., and John Ham. Calculating confidence intervals for continuous and discontinuous functions of parameters. Institute for Fiscal Studies, 2013. http://dx.doi.org/10.1920/wp.cem.2013.2313.

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Matsutani, Shigeki, and Jiryo Komeda. Sigma Functions for a Space Curve of Type (3,4,5). Journal of Geometry and Symmetry in Physics, 2013. http://dx.doi.org/10.7546/jgsp-30-2013-75-91.

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Canfield, Robert A. Large Scale Optimization Via Reduced Sub-Space Multipoint Approximations and Continuous Sensitivity. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada564483.

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Scheinker, Alexander. Introduction to Control Theory. Part 3. State Space, Stability, and Lyapunov Functions. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1214625.

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Marchand, Belinda, and Andrew Takano. Optimal Constellation Design for Maximum Continuous Coverage of Targets Against a Space Background. Defense Technical Information Center, 2012. http://dx.doi.org/10.21236/ada565295.

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Florens, Jean-Pierre, James Heckman, Costas Meghir, and Edward Vytlacil. Identification of Treatment Effects Using Control Functions in Models with Continuous, Endogenous Treatment and Heterogeneous Effects. National Bureau of Economic Research, 2008. http://dx.doi.org/10.3386/w14002.

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Corcoran, Kim. Higher Eyes in the Sky: The Feasibility of Moving AWACS and JSTARS Functions into Space. Defense Technical Information Center, 1998. http://dx.doi.org/10.21236/ada387785.

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Bilovska, Natalia. HYPERTEXT: SYNTHESIS OF DISCRETE AND CONTINUOUS MEDIA MESSAGE. Ivan Franko National University of Lviv, 2021. http://dx.doi.org/10.30970/vjo.2021.50.11104.

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In the article we interpret discrete and continuous message as interrupted and constant, limited and continual text, which has specific features and a number of differences between traditional (one-dimensional) text and hypertext (multidimensional). The purpose of this study is to define the concept of “hypertext”, consideration of its characteristics and features of the structure, similarities and differences with the traditional text, including the message in the media and communication. To achieve the goal of the study, we used a number of methods typical of journalism. Empirical analysis e
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Khomenko, Tetiana. TIME AND SPACE OF HISTORICAL PARALLELS OF EUGEN SVERSTIUK’S JOURNALISM. Ivan Franko National University of Lviv, 2021. http://dx.doi.org/10.30970/vjo.2021.50.11095.

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The article is dedicated to the investigation of time-space measurements of journalistic works of Eugen Sverstiuk, a well-known Ukrainian journalist. In particular, the time-space continuum of his works is being discussed, which is characterized as comprehensive, continuous, filled with archetypical images which metaphorize the text, but at the same time structure it, and are beaded on the axis of time and documentarily located in the space. The logics of images initiated in the text is exaggerated by constant dwelling of the author in the time-space dimensions of the epoque, of which he was a
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