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Limiting problems in integration and an extension of the real numbers systemLy, Tue. January 2008 (has links)
Thesis (M.A.)--Marshall University, 2008. / Title from document title page. Includes abstract. Document formatted into pages: contains 56 p. Includes bibliographical references (p. 56).
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Investigation of the development of number sense in seventh- and eleventh-grade students over a three-year period of time /Shull, Rena M. January 1998 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1998. / Typescript. Vita. Includes bibliographical references (leaves 212-215). Also available on the Internet.
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Investigation of the development of number sense in seventh- and eleventh-grade students over a three-year period of timeShull, Rena M. January 1998 (has links)
Thesis (Ph. D.)--University of Missouri-Columbia, 1998. / Typescript. Vita. Includes bibliographical references (leaves 212-215). Also available on the Internet.
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Ergodic properties of ß-expansions. / Ergodic properties of beta-expansionsJanuary 2009 (has links)
Lam, Ho Yin Theodore. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2009. / Includes bibliographical references (leaves 59-60). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.6 / Chapter 2 --- Shift spaces and Symbolic Dynamical systems --- p.8 / Chapter 2.1 --- Shift spaces --- p.8 / Chapter 2.2 --- Symbolic dynamical systems --- p.10 / Chapter 3 --- β-expansion --- p.12 / Chapter 3.1 --- Expansion of real numbers --- p.12 / Chapter 3.2 --- Ergodic theory of f-expansion with independent digits --- p.16 / Chapter 3.3 --- β-expansion --- p.22 / Chapter 3.3.1 --- Ergodic theory of β-expansion --- p.22 / Chapter 3.3.2 --- Properties of β-expansion --- p.28 / Chapter 3.3.3 --- The normalizing function F(β) --- p.34 / Chapter 4 --- Symbolic Dynamics of β-expansion --- p.40 / Chapter 4.1 --- The symbolic dynamical system Sβ --- p.40 / Chapter 4.2 --- Classification of β and properties of Sβ --- p.42 / Chapter 5 --- Sizes of the classes --- p.49 / Chapter 5.1 --- Sizes of C1 and C2 --- p.49 / Chapter 5.2 --- "Sizes of C3, C4 and C5" --- p.50 / Bibliography --- p.59
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Zur Beschreibbarkeit der hyperarithmetischen reellen Zahlen mit analysiskonformen MittelnThieler-Mevissen, Gerda. January 1974 (has links)
Thesis--Bonn. / Extra t.p. with thesis statement inserted. Includes bibliographical references (p. 39-41).
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Zur Beschreibbarkeit der hyperarithmetischen reellen Zahlen mit analysiskonformen MittelnThieler-Mevissen, Gerda. January 1974 (has links)
Thesis--Bonn. / Extra t.p. with thesis statement inserted. Includes bibliographical references (p. 39-41).
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A Development of the Real Number System by Means of Nests of Rational IntervalsWilliams, Mack Lester 08 1900 (has links)
The system of rational numbers can be extended to the real number system by several methods. In this paper, we shall extend the rational number system by means of rational nests of intervals, and develop the elementary properties of the real numbers obtained by this extension.
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