Research & Reviews: Discrete Mathematical Structures
Volume 7, Issue 1 (2020)
Published
Table of contents
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A Study on the Derivations of Two-dimensional Geometry
Abstract: Two-dimensional geometry is the study of conic sections. The conic section includes figures like circle, hyperbola, ellipse, parabola, semi circles etc. The study of two-dimensional geometry has many formulas related to Area, perimeter. However, the derivation of the particular geometrical figures are not studied due to their complexity. This paper focuses on how to reduce the complex nature of derivations and provides them in new and easy form. In addition, …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 1–5 Read article
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Common Fixed-Point Theorems Satisfying Integral Type Contractive Conditions
Abstract: In this paper, we establish common fixed-point theorems using a contractive condition of integral type. Also, we prove common fixed-point theorems, from a smaller class of compatible continuous mappings to larger class of weakly compatible mappings without using continuity. In the present paper, we establish common fixed-point result for four mappings satisfying a more general contractive condition of integral type and using the recent concept of weak compatible maps.Keywords: compatible …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 16–22 Read article
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Continuity
Abstract: Let us assume there exists a Clairaut function. K.O. Harris (2005) and Z.N. Gauss et al. (2002) address the connectedness of globally admissible equations under the additional assumption that |ƴ|⊂D. We show that λ is geometric. Unfortunately, we cannot assume that |L|<ε. It is not yet known whether Dirichlet's conjecture is false in the context of Hippocrates, j-embedded algebras, although K.O. Harris (2005) and C. Anderson (2001) does address the …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 23–27 Read article
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Natural Frequency of Plate by Using Rayleigh Ritz Method with Varying Thickness and Thermal Effect
Abstract: Plate systems had been intensively used in a diffusion of engineering disciplines concerning civil engineering, aerospace, construction zone, nuclear flowers, electricity flora, marine engineering. It may additionally use for production of wings and tails of the plane, rockets and missiles etc. A through expertise of their vibrational characteristics in conjunction with specific thermal conditions is of extremely good significance to engineers and architects ensuring reliability in layout procedure. In this …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 28–33 Read article
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Certain Results Involving Ramanujan’s Theta Functions
Abstract: In this present work, our main aim is to obtain “certain results involving Ramanujan’s theta functions”. In this paper, we have evaluated Ramanujan’s theta functions by making use of certain modular equations due to Ramanujan. Using these values of theta functions, we have also evaluated Ramanujan’s cubic continued fraction and Ramanujan–Weber class invariants Gn and gn.Keywords: Ramanujan’s theta functions, modular equations, Ramanujan–Weber class invariants, Ramanujan’s cubic continued fraction, Modular identitiesCite …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 7, Issue 1, 2020 · pp. 6–15 Read article