Results 111 to 120 of about 325 (162)
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IEEE Virtual Reality Conference (VR 2006), 2006
This paper presents a novel mixed reality (MR) system for virtually modifying (e.g., denting, engraving, swelling) shape of real objects by using projection of computer-generated shade. Users of this system, which we call HYPERREAL, perceive as if the real object is actually being deformed when they operate the system to modify the shape of the object ...
Masaru Hisada +4 more
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This paper presents a novel mixed reality (MR) system for virtually modifying (e.g., denting, engraving, swelling) shape of real objects by using projection of computer-generated shade. Users of this system, which we call HYPERREAL, perceive as if the real object is actually being deformed when they operate the system to modify the shape of the object ...
Masaru Hisada +4 more
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ON THE ORDER STRUCTURE OF THE HYPERREAL LINE
Mathematical Logic Quarterly, 1983The paper concerns an investigation of order types of various structures nonstandardly defined from enlargements of real numbers. For beginners in nonstandard analysis the reading of the paper is a quite nice exercise. Algebraists may find it interesting that nonstandard analysis affords a fine model material on one hand and an apparatus for the ...
William S. Hatcher, Claude Laflamme
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2001
In the early 1960s, Abraham Robinson finally provided a rigorous foundation for the use of infinitesimals in analysis by developing the new concept of NSA. The idea was to introduce a new number system known as the hyperreals which contains the real numbers but also infinitesimals and infinite numbers.
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In the early 1960s, Abraham Robinson finally provided a rigorous foundation for the use of infinitesimals in analysis by developing the new concept of NSA. The idea was to introduce a new number system known as the hyperreals which contains the real numbers but also infinitesimals and infinite numbers.
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1998
A nonzero number e is defined to be infinitely small, or infinitesimal, if $$ \left| \varepsilon \right| < \frac{1}{n}{\text{ for all }}n = 1,2,3,.... $$ In this case the reciprocal \(\omega = \frac{1}{\varepsilon }\) will be infinitely large, or simply infinite, meaning that $$ \left| \omega \right| > n\,for\,all\,n = 1,2,3,.
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A nonzero number e is defined to be infinitely small, or infinitesimal, if $$ \left| \varepsilon \right| < \frac{1}{n}{\text{ for all }}n = 1,2,3,.... $$ In this case the reciprocal \(\omega = \frac{1}{\varepsilon }\) will be infinitely large, or simply infinite, meaning that $$ \left| \omega \right| > n\,for\,all\,n = 1,2,3,.
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2019
The innovative theoretical input by Jean Baudrillard and Wolfgang Iser helps further elucidate the features of Longus' pastoral novel as an auto-referential and meta-poetic text based on the aesthetic ideas of the Second Sophistic. Thus, besides the simple love story, it is a highly sophisticated, self-conscious meta-text reflecting the relationship ...
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The innovative theoretical input by Jean Baudrillard and Wolfgang Iser helps further elucidate the features of Longus' pastoral novel as an auto-referential and meta-poetic text based on the aesthetic ideas of the Second Sophistic. Thus, besides the simple love story, it is a highly sophisticated, self-conscious meta-text reflecting the relationship ...
openaire +1 more source
Sporting Mega-Event Security in Hyperreality and its Consequences for Democratic Security Governance
Democracy and Security, 2021Adam Aitken
exaly