Research & Reviews: Discrete Mathematical Structures
Volume 1, Issue 2 (2014)
Published
Table of contents
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On Symmetry Preserving Diffeomorphisms of Generalized Symmetric Finsler Spaces
Abstract: In this paper, we study generalized symmetric Finsler spaces. We first study symmetry preserving diffeomorphisms, then we show that the group of symmetry preserving diffeomorphisms is a transitive Lie transformation group. Finally we give some existence theorems.MSC: 53C60, 53C30
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 1–4 Read article
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On Some Triple Almost Lacunary Sequence Spaces Defined by Orlicz Functions
Abstract: In this paper we introduce the concept of almost lacunary strong convergent triple sequences with respect to an Orlicz function and examine some properties of these sequence spaces. We also introduce and study almost lacunary statistical convergence for triple sequences and also present some inclusion relations.
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 16–25 Read article
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On the Riemann Hypothesis in The Light of The Littlewood Criterion of Equivalence
Abstract: In 1859, Riemann extended the Euler study onto the case of a complex variable according to then new Cauchy's complex analysis. According to his point of view, all non-trivial zeros of the Riemann zeta function are located on the critical line s=1/2+it, where t is a real number. In 1912, Littlewood presented the equivalence criterion for the Riemann Hypothesis based on the Mertens function. In this paper, the Riemann Hypothesis …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 26–35 Read article
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Origin of Modern Mathematical Numeral – 0, 1, 2, 3, 4, 5, 6, 7, 8, 9: the Hindu-Indian-Brahmagubta, The Islamo-Arabic or the West?
Abstract: The aim of this paper is to examine, analyze and ascertain the root of the modern mathematical numeral system between the Indian-Hindu Brahmagubta, Islamo-Arabic and the Western numeral systems. The paper utilized secondary source of data. The methodology adopted by the paper is content analysis. The findings of the paper revealed that the origin of the shapes of our ten modern numerals do not concern the Indian mathematics history, as …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 36–55 Read article
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A Study on the Sparing Number of the Corona of Certain Graphs
Abstract: Let be the set of all non-negative integers and be its the power set. An integer additive set-indexer (IASI) is defined as an injective function such that the induced function defined by is also injective, where is the sum set of and . If , then is said to be a -uniform integer additive set-indexer. An integer additive set-indexer is said to be a weak integer additive set-indexer if . …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 1, Issue 2, 2014 · pp. 5–15 Read article