In this article, we discuss the pragmatic relationship between semiosis and communication in order to characterize transmedia dynamics as a pragmatic offshoot of semiosis in media, a perspective that accounts for the incompleteness of the interpretant in its meditated actions. The theoretical approach is based on the communication perspective of the sign developed by Charles Sanders Peirce and his contemporary commentators, such as Parmentier (1985), Colapietro (1995, 2004), Santaella (1992, 1995, 2003, 2004), and Bergman (2000, 2003, 2007). In addition, transmedia dynamics are explored according to Jenkins (2001, 2006, 2013), Göran (2012), and Jansson (2013). We discuss the notion of media as sign mediation and transmedia dynamics as an improvement of semiosis, based on the pragmatic approach to the latter. Transmedia narratives refer to integrated media experiences that unfold across a variety of platforms, attracting audience engagement and offering new and pertinent content. Moreover, the productive incompleteness of the interpretant is taken as a conceptual parameter for understanding the way in which media consumption regulates habits and delineates the transmedia narrative in the sign process of network associations. In conclusion, we stress how the semiotic operation of representation, associating new signs and collateral experience, without losing the narrative reference (semiotic operation of determination), emerged in transmedia environments.
We establish a natural translation from word rewriting systems to strictly positive polymodal logics. Thereby, the latter can be considered as a generalization of the former. As a corollary we obtain examples of undecidable finitely axiomatizable strictly positive normal modal logics. The translation has its counterpart on the level of proofs: we formulate a natural deep inference proof system for strictly positive logics generalizing derivations in word rewriting systems. We also make some observations and formulate open questions related to the theory of modal companions of superintuitionistic logics that was initiated by L.L. Maksimova and V.V. Rybakov.
This paper is devoted to classical spectral boundary value problems for strongly elliptic second-order systems in bounded Lipschitz domains, in general non-self-adjoint, namely, to questions of regularity and completeness of root functions (generalized eigenfunctions), resolvent estimates, and summability of Fourier series with respect to the root functions by the Abel–Lidskii method in Sobolev-type spaces. These questions are not difficult in the Hilbert spaces of the type H1 = H1 2 , and important results in this case are well-known, but our aim is to extend the results to Banach spaces Hs p with (s, p) in a neighborhood of (1, 2). We also touch upon some spectral problems on Lipschitz boundaries. Tools from interpolation theory of operators are used, especially the Shneiberg theorem.
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