We discuss the Caratheodory-Tchakaloff (CATCH)\ud subsampling method, implemented by Linear or Quadratic Programming,\ud for the compression of multivariate discrete measures\ud and polynomial Least Squares

The end of deep reading is a commonplace in public debates, whenever societies talk about youth, books, and the digital age. In contrast to this, we show for the first time and in detail, how intensively young readers write and comment literary texts at an unprecedented scale. We present several analyses of how fiction is transmitted through the social reading platform Wattpad, one of the largest platforms for user-generated stories, including novels, fanfiction, humour, classics, and poetry. By mixed quantitative and qualitative methods and scalable reading we scrutinise texts and comments on Wattpad, what themes are preferred in 13 languages, what role does genre play for readers behaviour, and what kind of emotional engagement is prevalent when young readers share stories. Our results point out the rise of a global reading culture in youth reading besides national preferences for certain topics and genres, patterns of reading engagement, aesthetic values and social interaction. When reading Teen Fiction social-bonding (affective interaction) is prevalent, when reading Classics social-cognitive interaction (collective intelligence) is prevalent. An educational outcome suggests that readers who engage in Teen Fiction learn to read Classics and to judge books not only in direct emotional response to character's behaviour, but focusing more on contextualised interpretation of the text.

A table giving certain characteristics of the complete set of the combinatorially distinct convex polyhedra with 4 to 8 faces is presented, together with corresponding Schlegel diagrams of each.

No abstract

Prominent among the social developments that the web 2.0 has facilitated is digital social reading (DSR): on many platforms there are functionalities for creating book reviews, 'inline' commenting on book texts, online story writing (often in the form of fanfiction), informal book discussions, book vlogs, and more. In this article we argue that DSR offers unique possibilities for research into literature, reading, the impact of reading and literary communication. We also claim that in this context computational tools are especially relevant, making DSR a field particularly suitable for the application of Digital Humanities methods. We draw up an initial categorization of research aspects of DSR and briefly examine literature for each category. We distinguish between studies on DSR that use it as a lens to study wider processes of literary exchange as opposed to studies for which the DSR culture is a phenomenon interesting in its own right. Via seven examples of DSR research we discuss the chosen approaches and their connection to research questions in literary studies.

We show that the property of being a (weakly) admissible mesh for multivariate polynomials is preserved by small perturbations on real and complex Markov compacts. Applications are given to smooth transformations of polynomial meshes and to polynomial interpolation.2000 AMS subject classification: 30E10, 41A10, 41A63, 65D05.

We construct norming meshes for polynomial optimization by the classical Markov inequality on general convex bodies in R d , and by a tangential Markov inequality via an estimate of the Dubiner distance on smooth convex bodies. These allow to compute a (1−ε)-approximation to the minimum of any polynomial of degree not exceeding n by O (n/ √ ε) αd samples, with α = 2 in the general case, and α = 1 in the smooth case. Such constructions are based on three cornerstones of convex geometry, Bieberbach volume inequality and Leichtweiss inequality on the affine breadth eccentricity, and the Rolling Ball Theorem, respectively.

This paper presents the remediation of a 19 th century Korean manuscript (the 1809 Uigwe) as an interactive digital experience using creative algorithms and gesture recognition developed by LG Electronics. The interactive media we created using sound visualization invites visitors to jointly experience Joseon's royal music and the manuscript's pictorial illustrations. We present the media development process and the results of a survey assessing users' engagement. Our findings show that technological remediation can be a fruitful way to elicit the interest for cultural heritage. The Uigwe media enhanced the participants' curiosity for the 1809 Uigwe, and the added sound of the traditional court music (Yeominlak) and the images of the musical instruments increased users' understanding of the 1809 Uigwe and of royal court music. Overall, the study provides evidence about the use of multisensory digital media for fostering learning experience and cultural appreciation of historical artefacts.