This paper continues investigating connections on a valuated binary tree. By defining three types of new connections, the paper derives several new properties for the new connections, and proves that odd integers matching to the new cases can be easily and rapidly factorized. Pro...
Open access
Research Article10.9734/arjom/2021/v17i530297
Several imputation schemes and estimators have been proposed by different authors in sample survey. However, these estimators utilized quantitative information of auxiliary characters. In this study, some imputation methods were studied using qualitative information of auxiliary...
Open access
Research Article10.9734/arjom/2021/v17i530296
In this work, we firstly introduce the integral representation of the generalized p-k beta function and then employ well-known Chebychev’s and H¨older’s inequalities to obtain some inequalities on generalized p - k gamma and beta functions. Also, we show the logarithmic convexity...
Open access
Research Article10.9734/arjom/2021/v17i430295
In this paper, a three parameter life time model named Type II Topp-Leone Gumbel type-2 distribution which can be used to model reliability problems, fatigue life studies, and survival data has been studied. We derived explicit expressions for some of its statistical properties s...
Open access
Research Article10.9734/arjom/2021/v17i430294
We propose a stepwise confidence procedure for identifying minimum effective dose (MED) without multiplicity adjustment.Stepwise procedures strongly control the familywise error rate (FWER) which is a critical requirement for statistical methodologies in identification of MED. Th...
Open access
Research Article10.9734/arjom/2021/v17i430292
Aims / Objectives: To find the lifetime of the bubble by plotting the rate of mass flow rate change against time. Place and Duration of Study: Department of Mathematics and Applied Science, Catholic University of Eastern Africa, Nairobi, Kenya, between February 2020 and March 202...
Open access
Research Article10.9734/arjom/2021/v17i430291
The goal of this paper is to introduce and investigate a new subclass of bi-univalent functions using the Horadam polynomials and Sălăgean differential operator. Furthermore, coefficient estimates are given for and Fekete-Szegő inequalities for this subclass are obtained.
Open access
Research Article10.9734/arjom/2021/v17i430290
Objective: Medical diagnosis process extends within the degree to which they plan to affect different complicating aspects of diagnosis. In this research work, the concept of fuzzy relation with medical diagnosis is studied and the application of fuzzy relations to such problems...
Open access
Research Article10.9734/arjom/2021/v17i430289
Sarason did pioneer work on reflexive operator and reflexivity of normal operators, however, he did not used the word reflexive but his results are equivalent to say that every normal operator is reflexive. The word reflexive was suggested by HALMOS and first appeared in H. Rajda...
Open access
Research Article10.9734/arjom/2021/v17i430288
The generalized Weierstrass integrability of a class of second-order nonlinear differential equations is considered. The conditions of existence and the corresponding expressions of generalized Weierstrass inverse integrating factors of the second-order nonlinear differential equ...
Open access
Research Article10.9734/arjom/2021/v17i330286
This paper makes an investigation on geometric relationships among nodes of the valuated binary trees, including parallelism, connection and penetration. By defining central lines and distance from a node to a line, some intrinsic connections are discovered to connect nodes betwe...
Open access
Research Article10.9734/arjom/2021/v17i330287
In this paper we discuss about properties of lattices and its application in theoretical and algorithmic number theory. This result of Minkowski regarding the lattices initiated the subject of Geometry of Numbers, which uses geometry to study the properties of algebraic numbers....
Open access
Research Article10.9734/arjom/2021/v17i330284
In this paper, closed forms of the sum formulas ∑n k =0 xkWk and ∑n k=1 xkW-k for generalized Hexanacci numbers are presented. As special cases, we give summation formulas of Hexanacci, Hexanacci-Lucas, and other sixth-order recurrence sequences.
Open access
Research Article10.9734/arjom/2021/v17i330285
This study proposes analytical solution to the problem of transport in a Newtonian fluid within a cylindrical domain. The flow is assumed to be dominated along the channel axis, and is taken to be axi-symmetric. No-slip boundary condition is considered for velocity while the temp...
Open access
Research Article10.9734/arjom/2021/v17i330283