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Mathematical Morphological Distributive Concepts over Unions and Intersections

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Advances in Pure Mathematics 2016年第10期6卷 633-637页

作者： joseph ackora-prah Robert K. Acquah Yao Elikem Ayekple Department of Mathematics Kwame Nkrumah University of Science and Technology Kumasi Ghana

Mathematical Morphological concepts outline techniques for analysing and processing geometric structures based on set theory. In this paper, we present proofs of our theorems on morphological distributive properties over Unions and Intersections with respect to Dilation and Erosion. These results provide new realizations of Dilation, Erosion and conclude that they are distributive over Unions but non-distributive over Intersections.

关键词： Mathematical Morphology Dilation Distributive

Solvability of Inverse Eigenvalue Problem for Dense Singular Symmetric Matrices

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Advances in Pure Mathematics 2013年第1期3卷 14-19页

作者： Anthony Y. Aidoo Kwasi Baah Gyamfi joseph ackora-prah Francis T. Oduro Department of Mathematics and Computer Science Eastern Connecticut State University Willimantic USA Department of Mathematics Kwame Nkrumah University of Science and Technology Kumasi Ghana

Given a list of real numbers ∧={λ1,…, λn}, we determine the conditions under which ∧will form the spectrum of a dense n × n singular symmetric matrix. Based on a solvability lemma, an algorithm to compute the elements of the matrix is derived for a given list ∧ and dependency parameters. Explicit computations are performed for n≤5 and r≤4 to illustrate the result.

关键词： Inverse Eigenvalue Problem Dense Nonnegative Singular Symmetric

Revised Mathematical Morphological Concepts

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Advances in Pure Mathematics 2015年第4期5卷 155-161页

作者： joseph ackora-prah Yao Elikem Ayekple Robert Kofi Acquah Perpetual Saah Andam Eric Adu Sakyi Daniel Gyamfi Department of Mathematics Kwame Nkrumah University of Science and Technology Kumasi Ghana

We revise some mathematical morphological operators such as Dilation, Erosion, Opening and Closing. We show proofs of our theorems for the above operators when the structural elements are partitioned. Our results show... 详细信息

关键词： Mathematical Morphology Dilation Erosion Opening Closing

Extended quantum molecular dynamics model predicts new breathing modes in 36Ar bubble nuclei

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Nuclear Science and Techniques 2024年第10期35卷 268-270页

作者： joseph B.Natowitz Department of Chemistry and Cyclotron Institute Texas A&M UniversityCollege Station

In theoretical investigations of36Ar published by Ge Ren et al.（Phys Lett B 138990,2024）,36Ar bubble nuclei,char acterized by central density depletions,were studied using the extended quantum molecular dynamics *** novel density distributions—microbubble,bubble,and cluster resonances—were identified,each showing distinc spectral signatures in the gamma-ray decay spectrum o the isoscalar monopole ***,the oscillation frequency of the bubble mode mirrors macroscopic bubble dynamics,bridging classical and quantum phenomena in atomic *** exploration of exotic nuclei,driven by advances in large-scale radioactive ion beam facilities,reshapes nuclea physics,particularly as regards the complex structures and behaviors of atomic *** structures and deforma tions[1–3]challenge traditional models.

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EVOLUTION AND INTERACTION OFδ-WAVES IN THE ZERO-PRESSURE GAS DYNAMICS SYSTEM

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Acta Mathematica Scientia 2024年第5期44卷 1801-1836页

作者： Abhishek DAS K.T.joseph Centre for Data Science Institute of Technical Education and Research(ITER)Siksha‘O’Anusandhan(Deemed to be University)BhubaneswarOdisha751030India Centre for Applicable Mathematics Tata Institute of Fundamental ResearchSharada NagarBangalore560065KarnatakaIndia

Evolution and interaction of plane waves of the multidimensional zero-pressure gas dynamics system leads to the study of the corresponding one dimensional *** this paper,we study the initial value problem for one dimensional zero-pressure gas dynamics *** the first equation is the Burgers equation and the second one is the continuity *** consider the solution with initial data in the space of bounded Borel *** we prove a general existence result in the algebra of generalized functions of *** we study in detail special solutions withδ-measures as initial *** study interaction of waves originating from initial data concentrated on two point sources and interaction with classical shock/rarefaction *** gives an understanding of plane-wave interactions in the multidimensional *** use the vanishing viscosity method in our analysis as this gives the physical solution.

关键词： zero-pressure gas dynamics delta-waves interaction of waves

Treatment of Helicobacter pylori with potassium competitive acid blockers:A systematic review and meta-analysis

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World Journal of Gastroenterology 2024年第9期30卷 1213-1223页

作者： joseph Edwin Kanu Jonathan Soldera Post Graduate Program at Acute Medicine and Gastroenterology University of South WalesCardiff CF371DLUnited Kingdom

BACKGROUND Helicobacter pylori(***)infects over half the global population,causing gastrointestinal diseases like dyspepsia,gastritis,duodenitis,peptic ulcers,GMALT lymphoma,and gastric *** *** is crucial for treating and preventing these *** conventional proton pump inhibitor(PPI)-based triple therapy is effective,there’s growing interest in longer acid suppression *** competitive acid blocker(P-CAB)triple and dual therapy are new regimens for *** *** used in Asian populations,vonoprazan(VPZ)has been recently Food and Drug Administration-approved for *** *** To assess the efficacy of regimens containing P-CABs in eradicating *** *** This study,following PRISMA 2020 guidelines,conducted a systematic review and meta-analysis by searching MEDLINE and Scopus libraries for randomized clinical trials(RCTs)or observational studies with the following command:[("Helicobacter pylori"OR"H pylori")AND("Treatment"OR"Therapy"OR"Eradication")AND("Vonaprazan"OR"Potassium-Competitive Acid Blocker"OR"P-CAB"OR"PCAB"OR"Revaprazan"OR"Linaprazan"OR"Soraprazan"OR"Tegoprazan")].Studies comparing the efficacy of P-CABs-based treatment to classical PPIs in eradicating *** were *** criteria included case reports,case series,unpublished trials,or conference *** variables encompassed age,diagnosis method,sample sizes,study duration,intervention and control,and *** eradication method were gathered by two independent ***-analysis was performed in R software,and forest plots were *** A total of 256 references were initially retrieved through the search ***,fifteen studies(7 RCTs,7 retrospective observational studies,and 1 comparative unique study)were included,comparing P-CAB triple therapy to PPI triple *** intention-to-treat analysis involved 8049 patients,with 4471 in the P-CAB intervention g

关键词： Helicobacter pylori infection Potassium competitive acid blockers Proton pump inhibitors Vonoprazan Amoxicillin

Stability and Time-Step Constraints of Implicit-Explicit Runge-Kutta Methods for the Linearized Korteweg-de Vries Equation

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Communications on Applied Mathematics and Computation 2024年第1期6卷 658-687页

作者： joseph Hunter Zheng Sun Yulong Xing Department of Mathematics The Ohio State UniversityColumbusOH43210USA Department of Mathematics The University of AlabamaTuscaloosaAL35487USA

This paper provides a study on the stability and time-step constraints of solving the linearized Korteweg-de Vries(KdV)equation,using implicit-explicit(IMEX)Runge-Kutta(RK)time integration methods combined with either finite difference(FD)or local discontinuous Galerkin(DG)spatial *** analyze the stability of the fully discrete scheme,on a uniform mesh with periodic boundary conditions,using the Fourier *** the linearized KdV equation,the IMEX schemes are stable under the standard Courant-Friedrichs-Lewy(CFL)conditionτ≤λ***,λis the CFL number,τis the time-step size,and h is the spatial mesh *** study several IMEX schemes and characterize their CFL number as a function ofθ=d/h^(2)with d being the dispersion coefficient,which leads to several interesting *** also investigate the asymptotic behaviors of the CFL number for sufficiently refined meshes and derive the necessary conditions for the asymptotic stability of the IMEX-RK *** numerical experiments are provided in the paper to illustrate the performance of IMEX methods under different time-step constraints.

关键词： Linearized Korteweg-de Vries(KdV)equation Implicit-explicit(IMEX)Runge-Kutta(RK)method Stability Courant-Friedrichs-Lewy(CFL)condition Finite difference(FD)method Local discontinuous Galerkin(DG)method

Wan-Yee joseph Lau:the promoter of modernization and internationalization of Chinese surgery

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Oncology and Translational Medicine 2024年第1期10卷 1-3页

作者： Wan-Yee joseph Lau Faculty of Medicine The Chinese University of Hong KongHong KongChina

To my knowledge,there have been 3 books[1–3]and 2 book chapters written about me.[4–5]For those who are interested in the details of my life,please refer to these books/book *** title of this article is an English translation of the title of the book I refer to as reference 1,which I find appropriate to describe the role that I play in China.

关键词： please details translation

Monogenic diabetes in children:An underdiagnosed and poorly managed clinical dilemma

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World Journal of Diabetes 2024年第6期15卷 1051-1059页

作者： Saptarshi Bhattacharya joseph M Pappachan Department of Endocrinology Indraprastha Apollo HospitalsDelhi 110076India Department of Endocrinology and Metabolism Lancashire Teaching Hospitals NHS TrustPreston PR29HTUnited Kingdom Faculty of Science Manchester Metropolitan UniversityManchester M156BHUnited Kingdom Faculty of Biology Medicine and HealthThe University of ManchesterManchester M139PLUnited Kingdom

Monogenic diabetes,constituting 1%-2%of global diabetes cases,arises from single gene defects with distinctive inheritance *** over 50 associated genetic disorders,accurate diagnoses and management of monogenic diabetes remain inadequate,underscoring insufficient clinician *** disease spectrum encompasses maturity-onset diabetes of the young(MODY),characterized by distinct genetic mutations affecting insulin secretion,and neonatal diabetes mellitus(NDM)-a heterogeneous group of severe hyperglycemic disorders in *** diabetes,autoimmune monogenic diabetes,genetic insulin resistance and lipodystrophy syndromes further diversify the monogenic diabetes landscape.A tailored approach based on phenotypic and biochemical factors to identify candidates for genetic screening is recommended for suspected cases of *** diagnosis warrants immediate molecular genetic testing for infants under six *** these genetic defects presents a unique opportunity for precision *** research aimed to develop cost-effective genetic testing methods and gene-based therapy can facilitate appropriate identification and optimize clinical *** and study of new genes offer a valuable opportunity to gain deeper insights into pancreatic cell biology and the pathogenic mechanisms underlying common forms of *** clinical review published in the recent issue of World Journal of Diabetes is such an attempt to fill-in our knowledge gap about this enigmatic disease.

关键词： Monogenic diabetes Maturity-onset diabetes of the young Neonatal diabetes Mitochondrial diabetes Insulin resistance syndromes Genetic testing Next generation sequencing