Look up hyperreal, hyperrealism, hyperreality, or hyperreal number in Wiktionary, the free dictionary. Hyperreal may refer to: Hyperreal numbers, an extension...
Hyperreality is a concept in post-structuralism that refers to the process of the evolution of notions of reality, leading to a cultural state of confusion...
mathematics, hyperreal numbers are an extension of the real numbers to include certain classes of infinite and infinitesimal numbers. A hyperreal number x...
hyperreal numbers for a discussion of some of the relevant ideas. In this section we outline one of the simplest approaches to defining a hyperreal field...
exist in other number systems, such as the surreal number system and the hyperreal number system, which can be thought of as the real numbers augmented with...
ideals m in C(X) such that the residue field C(X)/m is a (non-Archimedean) hyperreal field. The framework of non-standard analysis allows for the following...
transfer principle for any hyperreal number system. Its most common use is in Abraham Robinson's nonstandard analysis of the hyperreal numbers, where the transfer...
natural hyperreal extension. The function f is also naturally extended to hyperreals between 0 and 1. Consider the partition of the hyperreal interval...
inverses are infinite numbers. The infinities in this sense are part of a hyperreal field; there is no equivalence between them as with the Cantorian transfinites...
the limited (finite) hyperreal numbers to the real numbers. Briefly, the standard part function "rounds off" a finite hyperreal to the nearest real. It...
representations of order types of well-ordered sets, which may also be infinite. Hyperreal numbers, an extension of the real number system that contains infinite...
Press. p. 185. ISBN 0-472-08942-0. Eno, Brian. "Music for Airports". Hyperreal Music Archive. Archived from the original on 29 January 2013. Retrieved...
introduced by H. Garth Dales and W. Hugh Woodin as a generalization of the hyperreal numbers and primarily of interest in non-standard analysis, model theory...
{\displaystyle \infty } with all of Q {\displaystyle {\textbf {Q}}} . As in the hyperreal numbers, one constructs the hyperrationals *Q from the rational numbers...
functions, the Levi-Civita field, the superreal numbers (including the hyperreal numbers) can be realized as subfields of the surreals. The surreals also...
{\displaystyle \langle u_{n}:n\in \mathbb {N} \rangle } has a natural hyperreal extension, defined for hypernatural values H of the index n in addition...
William Ford Gibson (born March 17, 1948) is an American-Canadian speculative fiction writer and essayist widely credited with pioneering the science fiction...
Teenage Riot's new single "Activate", with the full-length album Is This Hyperreal? released in 2011. While the record was described as "redundant" by Pitchfork...
technological communication, as well as his formulation of concepts such as hyperreality. Baudrillard wrote about diverse subjects, including consumerism, critique...
{\displaystyle y} and vice versa. The definition of the limit using the hyperreal numbers formalizes the intuition that for a "very large" value of the...
The set of standard hyperreals is not internal. The set of bounded hyperreals is not internal. The set of infinitesimal hyperreals is not internal. In...
Global Information