On Kolmogorov Complexity of Unitary Transformations in Quantum Computing

A Second Derivative Block Method Derived from a Family of Modified Backward Differentiation Formula (BDF) Type for Solving Stiff Ordinary Differential Equations

Equiprime Ideals and Equiprime Semimodules in Boolean Like Semirings

Numerical Solution of Temperature Profile in Annulus

Mathematical Modelling of EOR Methods

An Introduction to Various Types of Mathematics Teaching Aids

A Simple Method of Numerical Integration for a Class of Singularly Perturbed Two Point Boundary Value Problems

A New Approach to Variant Assignment Problem

A Homotopy Based Method for Nonlinear Fredholm Integral Equations

Proof of Beal's Conjecture and Fermat Last Theorem using Contra Positive Method

Trichotomy–Squared – A Novel Mixed Methods Test and Research Procedure Designed to Analyze, Transform, and Compare Qualitative and Quantitative Data for Education Scientists who are Administrators, Practitioners, Teachers, and Technologists

Algorithmic Triangulation Metrics for Innovative Data Transformation: Defining the Application Process of the Tri–Squared Test

A New Hilbert-Type Inequality In Whole Plane With The Homogeneous Kernel Of Degree 0

Surfaces in R

^{3}with densityIntroducing Trinova: “Trichotomous Nomographical Variance” a Post Hoc Advanced Statistical Test of Between and Within Group Variances of Trichotomous Categorical and Outcome Variables of a Significant Tri–Squared Test

Assistant Professor, Department of Mathematics and Science Education, The Afyon Kocatepe University, Turkey.

In this paper, the author has introduced the concept of lacunary summable and lacunary statistical convergence in fuzzy n-normed spaces. At the same time, the author has introduced condition of being lacunary statistically Cauchy sequence with respect to a fuzzy n-norm. The author has also studied the relation between these concepts and gave some properties of lacunary statistical convergence sequences in fuzzy n-normed spaces.

Associate Professor, Department of Allied Professions, North Carolina Central University, USA.

This discourse provides a deeper epistemological rational for the novel discipline of “Trioinformatics” through the use of “Trioengineering” to create innovative research instrumentation from trichotomous research questions. Trioengineering uses of the novel mathematical “Ambitation” from “Neuromathematical Neuroengineering Notation” in Trioengineering as a novel operational methodology referred to as “Interapplication”. This specialized operation was first defined in the Trioinformatics article that appeared in the March-May i-manager Journal on Circuits and Systems. Trioengineering's use of the neuromathematics “Ambitation” as an “Interapplication” is the holistic, collaborative, and comprehensive expression of Trioinformatics as a sequential sequence of inquiry into a precise research analysis methodology. Neuroengineering is an innovative way of explaining the transition from trichotomous logic (Osler, 2015) into a trichotomous Triple-I (Osler, 2013d) in which research questions are implemented in a meticulously defined and mathematically associated instrument [first introduced in the i-manager Journal on Mathematics as a part of the Tri- Squared Test (Osler, 2012a)]. Trioinformatics is an in-depth way of symbolically illustrating the law of trichotomy as a mathematically-grounded rational technique for explaining the ternary nature of electronic circuitry (Osler, 2015). The use of the Trioinformatics also adds value to investigative inquiry through the efficacy of digital instruments and tools via eduscientifically - engineered (Osler, 2013) research designs (Osler, 2015).

*-**Lecturer, Adigrat University, Tigray, Ethiopia.

***-****Hawassa University, Awassa, Ethiopia.

Although remarkable progress has been made in the control of the global Human Immunodeficiency Virus (HIV/AIDS) epidemic, the burden of HIV has reached contemporary at the shocking level in Sub-Saharan Africa. Understanding the cycle of HIV/AIDS disease progression can have great value on the effectiveness of the therapy. The purpose of this study is to determine factors affecting the progression between different stages of the disease and to model the progression of HIV/AIDS disease of an HIV infected patients under ART follow-up using multistate Semi-Markov model. A cohort of 526 HIV infected patients has been sampled from a Hawassa University Referral Hospital, Hawassa, Ethiopia, who have been under ART follow up from September 2012 to August 2017. States of the Markovian process are defined by the seriousness of the sickness based on the CD4 counts in cells/microliter. The five states of HIV/AIDS disease progression considered in the multi-state Semi-Markov model were defined based on of the following CD4 cell counts. State I, State II, State III, State IV and Death state. The major transiently prognostic factors between different states of HIV/AIDS disease were sex, age, ART adherence level, TB status, functional status, opportunistic infections , and body weight of patients. Hence, the progression of HIV/AIDS was significantly accelerated with poor ART adherence, patient's co-infection with TB, older patients, and patients being bedridden. The conditional probabilities of patients from any good states to worst state are increasing over time. Weibull sojourn time distribution is the appropriate and is preferably used as sojourn time distribution under multistate models. As time elapsed, the transition probability of patients is more likely to be in worse state than to be in better one. This shows that patients should aware the need to initiate therapy at early stages of the virus.

* Assistant Professor, Department of Mathematics, Delhi Technical Campus, Greater Noida, Uttar Pradesh, India.

** Professor, Department of Mathematics, CCS University Meerut, Uttar Pradesh, India.

*** Associate Professor and Head, Department of Applied Sciences, ABES Engineering College,.Dr. A. P. J. Abdul Kalam Technical University, Ghaziabad, Uttar Pradesh, India.

In this paper an inventory model to find out the buyer's optimal policy with two storage system has been developed. The buyer purchases a lot of Q units and transfers this stock in the display area in n equal lots. The demand considered here is a function of displayed stock level. The objective of this model is to optimize the total average cost for the buyer and find out the optimal number of shipments. A numerical example is presented to illustrate this study. The sensitivity analysis presented here shows that the model is quite stable and reflects the real life marketing situations.

* Lecturer, Department of Mathematics, Government Polytechnic College Sukma, Chhattisgarh, India.

** Associate Professor and Head, Department of Mathematics, Government Engineering College, Raipur, Chhattisgarh, India.

*** Assistant Professor and Head, Department of Computer Science, Government J. Yoganandam Chhattisgarh College, Raipur, Chhattisgarh, India.

The purpose of this paper is to introduce multivalued version of CR iteration process given by Chugh, Kumar, and Kumar (2012) and provecommon fixed point theorem for this iteration in three multivalued ρ-nonexpansive mappings in modular space. Let ρϵη satisfy (UUC1) and C ⊂ L_{p }be nonempty ρ-bounded and convex set. Let T_{1}, T_{2}, T_{3}: C →P_{ρ}(C) be three multivalued mappings such that P^{T1}_{ρ}, P^{T2}_{ρ} and P^{T3}_{ρ} are ρ-nonexpansive mappings with F = F_{ρ}(T_{1}) ⋂ F_{ρ}(T_{2}) ⋂ F_{ρ}(T_{3}) ≠ φ. Suppose T_{1} , T_{2} and T_{3} satisfy condition (I). Then the sequence {f_{n}} defined by us converges to a point of F.