Category: Mathematical Research and Computer Science

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Estimators for the Product of Two Population Means Using Auxiliary Attribute in the Presence of Non-response

 Non-response is an issue that typically arises from lack of interest, being away from home, refusing, etc. For population mean estimate in the situation of nonresponse, many authors produced estimators. When there is a non-response, estimate of the product of two population means is also necessary. Some estimators for the product of two population means…
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August 8, 2022 0

δJ-Closed Sets in Topological Spaces

δJ-closed sets, a brand-new type of sets, are introduced in topological spaces in this chapter. Analyses are done on the characteristics and connections to other g-closed sets. We acquire some significant characterizations. Author(s) Details: K. P. Vethavarna, Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women Coimbatore, India. P. L. Meenakshi,…
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August 8, 2022 0

The Non-parametric Regression Methods in Sequence Data Study

Regression analysis is a statistical strategy for establishing relationships between explanatory and response factors in order to estimate response variables given explanatory variables. However, the regression analysis may not always be based on the assumption of two variables. To get over this issue, the non-parametric regression approach is suggested. In the case of non-linear connection…
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August 8, 2022 0

The Vertices of a Graph and Its Dimension

We show that a graph’s dimension is smaller than or equal to the cardinality of its vertices. Author(S) Details Volker W. Thürey Independent Researcher, Bremen, Germany. View Book:- https://stm.bookpi.org/RAMRCS-V4/article/view/4879


November 26, 2021 0

Reliability Analysis of a Multi-State Delivery Network through the Symbolic Derivation of a Probability-Ready Expression

The dependability of a multi-state delivery network (MSDN) with different suppliers, transfer stations, and marketplaces (depicted as vertices) connected by branches of multi-state capabilities, delivering a specific commodity or service between their end vertices is the subject of this chapter. We use a symbolic logic interpretation of network success to meet market demand while staying…
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November 26, 2021 0

Determining the Sufficiency in Optimal Control without the Strengthened Condition of Legendre

In this paper, we develop a sufficiency theorem for an unconstrained Lagrange fixed-endpoint problem that provides sufficient conditions for processes that do not satisfy the traditional nonsingularity assumption, i.e., the strengthened Legendre condition is not imposed by the new sufficiency theorem. Unlike numerous generalisations of conjugate points, solutions of specific matrix Riccati equations, invariant integrals,…
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November 26, 2021 0

A Counterexample of the Statement P = NP: Scientific Explanation

By generating a very simple example of unsolvability in polynomial time in a well-known NP-complete problem, it is proven that the classes P and NP do not coincide in this work. A random process is built for a specific NP-complete issue that provides solutions with random numbers. The assumption that a concrete NP-complete problem belongs…
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November 26, 2021 0

On the 4th Clay Millennium Problem for the Periodic Navier Stokes Equations

The Gagliardo-Nirenberg and Prekopa-Leindler inequalities are used to prove that the integrand of the integral form of the solution obtained can be set to zero everywhere in space and time, as well as results on the velocity-pressure distribution using Debreu’s, Brouwer’s, and Lusin’s theorems, and a final theorem proving no finite time blowup of the…
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November 26, 2021 0

Channel Capacity Enhancement on Maximization of Modified Verma and Bose-Einstein Entropies by Gaussian Distribution

This chapter examined how to improve channel capacity by using a Gaussian distribution [5] and Kullback-[3] Leibler’s information measure of directed divergence to maximise modified Verma and Bose-Einstein entropies. Author(S) Details Rohit Kumar Verma Department of Mathematics, Bhilai Institute of Technology, Durg (C.G.), India. View Book:- https://stm.bookpi.org/RAMRCS-V4/article/view/4874


November 26, 2021 0

Study on Dual Bi-Directional Heuristic Development Framework

A multi-start heuristic framework is developed in this study. Heuristic convergence to high-quality optimum solutions is accelerated using the heuristic development approach. The Dual Bi-Directional (DBD) heuristic is a multi-start heuristic that uses a pair search starting from both the beginning and ending nodes to find the global optimum solution (GOS) in four directions at…
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November 26, 2021 0