Researcher
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ISSN 1553-9865 (print); ISSN 2163-8950 (online), doi prefix: 10.7537, Monthly
Volume 18 - Issue 10 (Cumulated No. 208), October 25, 2026
Cover (pdf),
Cover,
Introduction,
Contents,
Call for Papers
The following manuscripts are presented as online first for peer-review, starting from October 1, 2026.
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CONTENTS
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SOLUTION PATTERN
OF ALMOST λ-STATISTICAL CONVERGENCE AND ITS APPLICATION
Dr. Balbinder
Singh
Supervisor Market
Development Officer, Bayer Science and innovation Pvt Ltd,
Mandi- 175001 (Himachal Pradesh)
Email:
singhbalbinder1986@gmail.com
Abstract:
The
concept of statistical convergence provides a useful
generalization of ordinary convergence by allowing a sequence to
deviate from its limiting value on a set of indices having
natural density zero. In this paper, we study a generalized form
of statistical convergence associated with a non-decreasing
sequence, called λ statistical
convergence, and investigate its almost version. The principal
objective is to examine the solution pattern of almost
λ\lambda-statistical convergence and
establish several fundamental properties concerning uniqueness,
subsequences, boundedness, ordinary convergence, and
relationships with other convergence methods. We formulate
suitable characterizations of almost
λ\lambda-statistical convergence and illustrate the
theory through examples. Finally, an application to the
convergence analysis of iterative numerical sequences is
discussed. The results show that almost
λ\lambda-statistical convergence provides a flexible
framework for studying sequences whose convergence behaviour may
contain irregular or sparse oscillations. In this
paper we study one more extension of the concept of statistical
convergence namely almost λ-statistical convergence. In section
1.2 we discuss some inclusion relations between almost
λ-statistical convergence, strong almost (V,λ)-summability and
strong almost convergence. Further in section 1.3 we study the
necessary and sufficient condition for an almost statistically
convergent sequence to be almost λ-statistically convergent. Let
s be the set of all real or complex sequences and let l∞,
c and c0 denote the Banach spaces of bounded,
convergent and null sequences x = {ξk} respectively
normed by ||x|| =  |ξk|.
Suppose D is the shift operator on i.e. D({ξk}) = {ξk+1}.
[Singh,
B. SOLUTION PATTERN OF ALMOST λ-STATISTICAL CONVERGENCE AND
ITS APPLICATION.
Researcher 2026;18(10):1-7].
ISSN
1553-9865 (print); ISSN 2163-8950 (online).
http://www.sciencepub.net/researcher.
01.
doi:10.7537/marsrsj181026.01
Keywords:
Statistical convergence; λ
-statistical convergence; almost convergence; almost
λ -statistical convergence; density;
sequence spaces; iterative methods |
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Review On Trypanocidal Drugs Resistance In Bovine And Its
Management
Eyachew Ayana
Bahirdar Animal Health Investigation And Diagnostic Laboratory,
P.O. Box 70, Bahirdar, Ethiopia
eyuelayana83@gmail.com
Abstract:
Livestock are of enormous importance in Africa, economically for
nutritional and agricultural purposes as well as socially. But
trypanosomosis is a major constraint to livestock production in
sub Saharan Africa. The distribution of the disease is
influenced by the existence of tsetse and other biting flies.
Tsetse transmitted trypanosomosis is encountered in many parts
of Africa including Ethiopia. In those tsetse’s infested African
countries trypanocidal drugs (isometamidium chloride, homidium
salt and diaminazene aceturate) remain the principal means of
animal trypanosomosis control. However, there is a growing
problem that their future effectiveness may be severely reduced
by widespread drug resistance, because it is very unlikely that
new trypanocidal drugs will be released in to the market in the
near future. So it is essential to maintain the efficacy of
currently available drugs. To make this real it is important
knowing the mechanisms of drug resistance, make proper detection
of drug resistance by testing in ruminants, in mice, in vitro
and molecular tests, and followed by the right methods to delay
the development of drug resistance like use of the correct dose,
changing of drugs, sanative pair treatment, increased dosage and
repeative treatment, avoid the use of quinapyramine. If once
trypanocidal drug resistance appear allowing integrated control
measures such as reducing vector numbers to reduce the number of
drug treatment will be important.
[Eyachew
Ayana.
Researcher.
Review On Trypanocidal Drugs Resistance In Bovine And Its
Management.
2026;18(10):8-24].
ISSN 1553-9865
(print); ISSN 2163-8950 (online).
http://www.sciencepub.net/researcher.
02.
doi:10.7537/marsrsj181026.02
Keywords:
Trypanosomosis; Isometamidium chloride; Diaminazene aceturate;
Homidium salts; Drug resistance |
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Identifying And Assessing The Creative Potential
Of Pre-Service Teachers: A Four-Component Model And The Creative
Potential Index (CPI)
Nigina Khamzaeva
Samarkand State Pedagogical Institute, Samarkand,
Uzbekistan
E-mail:
shokhrukh.ravshanov717@gmail.com
0009-0008-9476-3186
Abstract.
Digital transformation and the rapid renewal of
educational content require pre-service teachers who can
generate original, pedagogically effective solutions in
non-standard situations, making creative potential a central
research direction in teacher education. Although Uzbekistan's
national policy (Presidential Resolution No. PP-5188, 2021)
prioritizes creativity development, no standardized system
exists for identifying and assessing pre-service teachers'
creative potential, and the two processes are frequently
conflated. Objective: This study develops and substantiates a
scientifically grounded criteria system and an integrative index
model for identifying and assessing pre-service teachers'
creative potential. Methods: A two-phase mixed
conceptual-methodological design was used: a
qualitative-theoretical phase (comparative-analytical synthesis
of international and domestic literature, content analysis) and
a quantitative-methodological phase (development of a weighted
computational index with Delphi-based weighting and a
psychometric validation protocol - Cronbach's α, Pearson's r,
confirmatory factor analysis, t-test/ANOVA). Results: A
four-component structure (motivational-value, cognitive,
activity-practical, creative-instrumental) with indicators and a
three-level (high/medium/low) rating scale was developed,
together with the Creative Potential Index (CPI = w1·MV + w2·CG
+ w3·AP + w4·CI), illustrated through a worked calculation.
Conclusion: The proposed model integrates the psychometric
precision of the Guilford–Torrance-Tunik tradition with the
holistic componential approach of domestic pedagogy, enabling
quantifiable, statistically tractable, and pedagogically
interpretable assessment, with direct applicability in
teacher-training curricula.
[Khamzaeva N. Identifying And Assessing The
Creative Potential Of Pre-Service Teachers: A Four-Component
Model And The Creative Potential Index (CPI).
Researcher
2026;18(10):25-35].
ISSN 1553-9865 (print);
ISSN 2163-8950 (online).
http://www.sciencepub.net/researcher.
03.
doi:10.7537/marsrsj181026.03
Keywords:
creative potential; pre-service teachers;
diagnostic criteria; integrative index model; psychometric
validation; teacher education. |
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