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Devilish Tricks for Sequence Acceleration
No full textThe two most famous quotes about divergent series are Abel's "Divergent series are the invention of the devil, and it is shameful to base on them any demonstration whatsoever," and Heaviside's "This series is divergent, therefore we may be able to do something with it." Today a lot more is known about divergent series than in either's day, so we can say now that, on balance, Heaviside wins, and we now have plenty of license to use divergent series. This article talks about some "well-known" methods (that is, well-known to experts) to do so, and in particular talks about some of the devilishly good features of evalf/Sum, long one of my favourite tools in Maple. But Abel had a point, too, and we'll see some "shameful" things, which will give the reader some necessary caution to go along with their license
Maple Learn: An Exposition
No full textI present Maple Learn, one of Maplesoft’s educational products. I provide examples of documents created with it, list some of its capabilities, and share my experience using it in online mathematics tutoring. Overall, I recommend it to teachers and tutor
How to program with formulas in Maple: Formulas in Maple
No full textMaple's main strength is its ability to compute with mathematical formulasand not just with numbers. It can multiply and factor, differentiate and integrate, and simplify formulas. In this article, using differentiation as an example, I explain how to program with formulas in Maple. The key is the data representation that Maple uses for a formula and the operations Maple provides for operating on formulas. I will also discuss Automatic Differentiation as an alternative which differentiates programs
What's New in Maple 2022: Formal Power Series
No full textThe convert/FormalPowerSeries functionality was completely rewritten for Maple 2022. It is based on Dr. Bertrand Teguia Tabuguia's PhD thesis, Power Series Representations of Hypergeometric Type and Non-Holonomic Functions in Computer Algebra, under the supervision of Prof. Wolfram Koepf at University of Kassel, Germany, May 2020
About this issue
No full textWelcome to the third issue of Maple Transactions. For a variety of global reasons, this issue's production was slow enough that by the time the original contributions were ready, a whole new batch of contributions were also ready. So this is basically a "double issue". We have two Featured Contributions: "How to Hunt Wild Constants" which surveys the software for guessing what a floating-point constant might really be; and another on "Arbitrary precision computation of the gamma function" which surveys the state-of-the-art for computation of that remarkable function. We have our first video presentation hosted on Western's Institutional Repository instead of YouTube, for better international access. We have contributions on mathematical research and on educational research, and on educational practice. We have a nice educational paper on how to program in Maple. And, since it's kind of a double issue, I have written two columns for the Editor's corner. I hope you will enjoy them, but more than that I am certain that you will find a lot of interesting material in this issue
International Students in Ontario Secondary Schools: Demystifying the Stereotype
No full textThis article addresses findings of a pilot study focused on the schooling experiences and social and cultural adaptation of international/visa students who have come to Canada to learn English and obtain an Ontario Secondary School Diploma. Nonnative speakers of English and noncitizens of Canada, they are generally brought to Canada by relatives who depart after installing them with host families with whom they have had virtually no previous contact. Respondents reported that most of these youths’ parents have made considerable sacrifices in the hope that acquisition of “legitimate” English will give their child access to global citizenship and a secure future. Findings indicate that many early study abroad international students experience difficulties with second language socialization and are considered “at risk” for academic failure. Testimony from educators and focal students reveals that this cohort experiences significant adaptation issues, including: loneliness and disorientation, depression, and disabling circumstances resulting from injudicious choices
Voltaire, Lettres sur les Anglais, INTRODUCTION 6A (I), & 6A(II) Lettres sur les Anglais (IB) LETTERS CONCERNING THE ENGLISH NATION, Voltaire Foundation, 2022.
No full textRésumé de la Voltaire Foundation: Lettres sur les Anglais (I) 978-0-7294-1154-7
« Les Lettres sur les Anglais constituent un chef d’œuvre clé des Lumières, un manifeste qui illustre une manière de pensée qui a participé à la création d’une vision du monde qui reste importante aujourd’hui. C’est par cette œuvre aussi que Voltaire s’est réinventé en écrivain de prose, après une première phase de sa carrière où il était surtout connu comme poète. Le présent volume retrace la genèse et le contexte des Lettres (le séjour anglais de Voltaire, entre 1726 et 1728), et en dégage les principaux enjeux. L’introduction de Nicholas Cronk est suivie d’une liste complète des éditions parues du vivant de Voltaire, des traductions de ce texte, et de la version anglaise dont la publication en 1733 précéda de peu la parution du texte en français. Collaborateurs: Geneviève Artigas-Menant, Nicholas Cronk, Anna Marie Roos; Volume: 6A (I)-(II)Series: Œuvres complètes de Voltaire ; Volume Editors: Nicholas Cronk ; Publication Date: 2022 Pages: 730 Price (£): 160. »Résumé de la Voltaire Foundation: Lettres sur les Anglais (I) 978-0-7294-1154-7
« Les Lettres sur les Anglais constituent un chef d’œuvre clé des Lumières, un manifeste qui illustre une manière de pensée qui a participé à la création d’une vision du monde qui reste importante aujourd’hui. C’est par cette œuvre aussi que Voltaire s’est réinventé en écrivain de prose, après une première phase de sa carrière où il était surtout connu comme poète. Le présent volume retrace la genèse et le contexte des Lettres (le séjour anglais de Voltaire, entre 1726 et 1728), et en dégage les principaux enjeux. L’introduction de Nicholas Cronk est suivie d’une liste complète des éditions parues du vivant de Voltaire, des traductions de ce texte, et de la version anglaise dont la publication en 1733 précéda de peu la parution du texte en français. Collaborateurs: Geneviève Artigas-Menant, Nicholas Cronk, Anna Marie Roos; Volume: 6A (I)-(II)Series: Œuvres complètes de Voltaire ; Volume Editors: Nicholas Cronk ; Publication Date: 2022 Pages: 730 Price (£): 160.
Making Sense of ASMR: Regimes of Embodiment and Inegalitarian Distributions of Sensory and Affective Capacities
No full textAutonomous Sensory Meridian Response (ASMR) is described as the experience of pleasurable static-like sensations triggered by audio visual stimuli (Barratt & Davis, 2015). Since it was first introduced as a distinct sensory experience in 2009, ASMR has sparked a series of debates about the legitimacy and implications of this form of sensory and affective experience. While scientific researchers have tried to identify ASMR’s therapeutic affordances as well as its psychological, neurological, and physiological determinants, government and corporate bodies have responded with censorship, regulation, standardization, or commercialization of ASMR content and practices. By analyzing these responses and understandings of ASMR, I argue that current accounts of it fail to grasp the complexity and importance of the experience. More specifically, I argue that ASMR is socially disruptive and analytically elusive because it posits bodies and sensing subjects that are radically incompatible with dominant understandings of embodiment and sensory experience. I expand on this by drawing on Jacques Rancière’s work on aesthetics, concluding that mixed reactions to ASMR are due to its dissensual aesthetic character and the way it reveals inegalitarian logics informing how bodies are defined and regulated in social settings
Toward an Apocalyptic Hauntology of Black Messianicity: Wordlessness, Trembling, and the Gift of (Social) Death
No full textSome Reflections on Gaslighting and Language Games
No full textThis paper proposes that, in many cases, conversational norms permit gaslighting when socially subordinate speakers report systemic injustice. Section 1 introduces gaslighting and the kinds of cases on which I focus—namely, cases in which multiple people gaslight. I give examples and statistics to suggest that these cases are common in response to reports of race- or gender-based injustice; and I appeal to scholarship on epistemologies of ignorance to suggest that this kind of gaslighting is common because it is systematically produced by dominant epistemic systems. Section 2 draws on Lynne Tirrell’s account of language games that’ve been influenced by oppression to make the case that conversational norms make gaslighting “appropriate” when socially subordinate speakers report systemic injustice. Together, these points make the case that the kind of gaslighting discussed in this paper (i) occurs systematically and (ii) is mutually reinforcing with systems of ignorance. The discussion is meant to help us understand and address the conditions that make gaslighting commonplace. If it’s true that gaslighting occurs systematically in part thanks to our warped conversational norms, then we may be able to mitigate the prevalence of gaslighting by attending to these norms