Note on Ward-Horadam H(x) - binomials' recurrences and related interpretations, II

We deliver here second new $\textit{H(x)}-binomials'$ recurrence formula, were $H(x)-binomials'$ array is appointed by $Ward-Horadam$ sequence of functions which in predominantly considered cases where chosen to be polynomials . Secondly, we supply a review of selected related combinatorial interpretations of generalized binomial coefficients. We then propose also a kind of transfer of interpretation of $p,q-binomial$ coefficients onto $q-binomial$ coefficients interpretations thus bringing us back to $Gy{\"{o}}rgy P\'olya$ and Donald Ervin Knuth relevant investigation decades ago.Comment: 57 pages, 8 figure

On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros

We identify the accumulation points of the zero set of the polynomial family Gn+1(z) := zGn(z) + Gn−1(z), n 2 N, generated from complex polynomial seeds G0,G1. This problem has been treated recently, for seed pairings of constants with linear polynomials, by Böttcher and Kittaneh (2016). We determine the accumulation points in the general case of arbitrary co-prime polynomial seeds, thus simplifying and streamlining previous approaches. Keywords: Fibonacci polynomials; three-term recurrences; zero attractor; asymptotic zero location. MSC: Primary: 11B39. Secondary: 30C15; 30B15; 40A15

Influence and infection : Georges Bataille and the fate of critique

The thesis argues for the pertinence of the Kantian 'topography' of the mental faculties and the power of critical thought in assessing the philosophical importance of Georges Bataille' s writing. Such an argument runs counter to the received tradition of interpretation of Bataille's work, which has, given the influence of Derrida, construed these texts as works of phenomenological philosophy. The thesis shows that Derrida's interpretation must, by virtue of its exclusivity, be incorrect. Bataille is concerned with the trajectory of thought - that is with the dynamics or energetics of thought - rather than with the articulation of the logic of representation, an articulation which characterises phenomenological thinking. The thesis argues that Bataille's concern with the energetics of thought represents an extension of Kant's critical project. This relation is borne out by the new uses to which he puts the Kantian terminology of continuity, transcendence, subjectivity and communication. Rather than simply exaggerating the power of critique, which Kant countenanced as an influence on the mental processes, Bataille dissolves the critical difference and fuses the status of all thought with its energetic and thermic trajectory. For Bataille, thought is associated with the free contagions or infections of thermic communication. Thus Bataille's relation to Kojeve and Hegel is -only part of a wider move in designating the energetic nature of critique over and above its restricted and conceptual uses. Critique does not survive this definition. The thesis shows the nature of the critical project as it is articulated by Kant in the critiques of pure reason and judgement and how Bataille's major concepts come to inhabit this terrain whilst subjecting themselves and it to the dissolution which is the result of the rational groundlessness of critique. Bataille's treatment of this topography shows that it can be used to infer the attributes of a philosophy of intensities and change

Time Series Modelling

The analysis and modeling of time series is of the utmost importance in various fields of application. This Special Issue is a collection of articles on a wide range of topics, covering stochastic models for time series as well as methods for their analysis, univariate and multivariate time series, real-valued and discrete-valued time series, applications of time series methods to forecasting and statistical process control, and software implementations of methods and models for time series. The proposed approaches and concepts are thoroughly discussed and illustrated with several real-world data examples

Creativity and Science in Contemporary Argentine Literature

With a burgeoning academic interest in Latin American science fiction and cyberfiction and in representations of science and technology in Latin American literature and cinema, this book adds new understanding to the growing body of interdisciplinary work on the relationship between literature and science in postmodern culture. Joanna Page examines how contemporary fiction and literary theory in Argentina consistently employ theories and models from mathematics and science to probe the nature of innovation and evolution in literature. Theories of incompleteness, uncertainty, and chaos are often mobilized in European and North American literary and philosophical texts as metaphors for the inadequacy of our epistemological tools to probe the world's complexity. However, in recent Argentine fiction, these generalizations are put to very different uses: to map out the potential for artistic creativity and regeneration in times of crisis. Page focuses on texts by contemporary Argentine writers Ricardo Piglia, Guillermo Martínez and Marcelo Cohen, which draw on theories of formal systems, chaos, emergence, and complexity to counter proclamations of the end of philosophy or the exhaustion of literature in the postmodern era. This book makes a significant contribution to our understanding of how newness and creativity have been theorized, tracing often unexpected relationships between thinkers such as Nietzsche, Deleuze, and the Russian Formalists. It is also the first time that a major study in English has been published on the work of Martínez, Piglia, or Cohen

Errata and Addenda to Mathematical Constants

We humbly and briefly offer corrections and supplements to Mathematical Constants (2003) and Mathematical Constants II (2019), both published by Cambridge University Press. Comments are always welcome.Comment: 162 page

Queering Knowledge

This volume draws on the significance of the work of Marilyn Strathern in respect of its potential to queer anthropological analysis and to foster the reimagining of the object of anthropology. The authors examine the ways in which Strathern’s varied analytics facilitate the construction of alternative forms of anthropological thinking, and greater understanding of how knowledge practices of queer objects, subjects and relations operate and take effect. Queering Knowledge offers an innovative collection of writing, bringing about queer and anthropological syntheses through Strathern’s oeuvre. It will be relevant to scholars from anthropology as well as a number of other disciplines, including gender, sexuality and queer studies. *Winner of the 2020 Ruth Benedict Prize for Outstanding Edited Volume