Results 31 to 40 of about 486 (145)
Inverse Element for Surreal Number
Summary Conway’s surreal numbers have a fascinating algebraic structure, which we try to formalise in the Mizar system. In this article, building on our previous work establishing that the surreal numbers fulfil the ring properties, we construct the inverse element for any non-zero number.
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ABSTRACT Modern deaths have become reiterations. That is, despite exhibiting a seemingly high‐level of diversity in death's representations in everyday lives, death suffers from a particular onto‐epistemological poverty that prevents it from being imagined otherwise.
Zhaoxi Zheng +2 more
wiley +1 more source
An algebraic (set) theory of surreal numbers, I
The notion of surreal number was introduced by J.H. Conway in the mid 1970's: the surreal numbers constitute a linearly ordered (proper) class $No$ containing the class of all ordinal numbers ($On$) that, working within the background set theory NBG, can be defined by a recursion on the class $On$.
Dimi Rocha Rangel, Hugo Luiz Mariano
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PPI and researcher perspectives of islet transplantation therapy for type 1 diabetes
Abstract Aims Islet transplantation offers the potential of a cure for type 1 diabetes (T1D), but the limited availability of human donor islets means that this therapy is currently only available to a small group of people with T1D who have intractable hypoglycaemia.
Peter M. Jones +15 more
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Abstract According to a widely held view both within and outside philosophy, imagination is innocent in the sense that it does not influence what we think and do. Hence, we can let our imagination wander anywhere. There are two ways of pushing back against this ‘innocence of imagination’ claim.
Bence Nanay
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Abstract The aim of this paper is to outline the activities of an innovative, interdisciplinary public engagement programme delivered by a team from education, art and philosophy disciplines at a Scottish university. The programme began in 2018 and has continually evolved since then in response to its work with schools. The activities are inspired by a
Anna Robb
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Making Art or Studying Art? Routes to Ecological Thinking in the Secondary School Classroom
Abstract Art education scholarship has increasingly turned towards relational, ecological ways of thinking about the subject. This article asks whether that turn is reflected in how Art education is experienced and justified in the classroom. Drawing on interviews with students and an Art teacher in a rural state secondary school in England, it finds ...
Clemency Wood
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ABSTRACT Despite their very diverse interests, the classical sociological thinkers were concerned with analyzing the dramatic social transformations in the wake of colonialism, slavery, and modern industrial capitalism as well as the multiple revolutions, particularly in relation to the new forms of social inequalities and power disparities.
Zaheer Baber
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Surreal numbers, exponentiation and derivations
We give a presentation of Conway's surreal numbers focusing on the connections with transseries and Hardy fields and trying to simplify when possible the existing treatments.
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In this treatise on the theory of the continuum of the surreal numbers of J.H. Conway, is proved ,that the three different techniques and hierarchies of the continuums of the transfinite real numbers of Glayzal A. (1937) defined through transfinite power series , of the surreal numbers of J.H.
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