✦ LIBER ✦

Revisiting the hybrid real number system

✍ Scribed by E. Escultura; T. Gnana Bhaskar; V. Lakshmikantham; S. Leela

Publisher: Elsevier
Year: 2009
Tongue: English
Weight: 420 KB
Volume: 3
Category: Article
ISSN: 1751-570X
DOI: 10.1016/j.nahs.2008.11.001

No coin nor oath required. For personal study only.

✦ Synopsis

The hybrid real number system consisting of terminating and nonterminating decimals, dark numbers, dual dark numbers, involving the notions of personal infinities and the impersonal infinity has been discussed. Some algebraic properties of dark numbers and dual dark numbers are discussed.

📜 SIMILAR VOLUMES

Completeness for systems including real

Completeness for systems including real numbers

✍ W. Balzer; M. Reiter 📂 Article 📅 1989 🏛 Springer Netherlands 🌐 English ⚖ 613 KB

The k-tuple domination number revisited

✍ Vadim Zverovich 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 183 KB

The following fundamental result for the domination number γ (G) of a graph G was proved by Alon and Spencer, Arnautov, Lovász and Payan: where n is the order and δ is the minimum degree of vertices of G. A similar upper bound for the double domination number was found by Harant and Henning [J. Har

Revisiting the pseudorandom number gener

Revisiting the pseudorandom number generator ran1 from the NUMERICAL RECIPES

✍ Jaromír Antoch; Jean-Marc Deshouillérs; Gusti Putu Purnaba 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 678 KB

In this contribution we show the danger which can arise from the use of the pseudorandom number generator ran1 (and partially ran2 as well) from the first edition of the monograph Numerical Recipes in C for some Monte Carlo simulations. This paper complements the paper of Baker (1997) published in S

Quantification over the real numbers

✍ Arthur I. Fine 📂 Article 📅 1968 🏛 Springer Netherlands 🌐 English ⚖ 390 KB

IN RECENT publications Ruth Marcus has gone back to Russell to revive a way of reading quantified formulas? Where F is a formula with the single free variable 'x,' the suggestion is to read '(x)F' as 'every substitution instance of F is true' and to read '(3x)F' as 'at least one substitution instanc

Representations of the real numbers and

Representations of the real numbers and of the open subsets of the set of real numbers

✍ Klaus Weihrauch; Christoph Kreitz 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 859 KB

The Arithmetical Hierarchy of Real Numbe

The Arithmetical Hierarchy of Real Numbers

✍ Xizhong Zheng; Klaus Weihrauch 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 225 KB 👁 1 views