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multivariate form of Hermite sampling series

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Applied mathematics(A Journal of Chinese Universities) 2024年第2期39卷 253-265页

作者： rashad m.asharabi Depar.m.nt of mathematics College of Arts and SciencesNajran UniversityNajranSaudi Arabia

In this paper,we establish a new multivariate Hermite sampling series involving samples fr.m.the function itself and its mixed and non-mixed partial derivatives of arbitrary *** multivariate form of Hermite sampling will be valid for some classes of multivariate entire functions,satisfying certain growth *** will show that many known results included in Commun Korean math Soc,2002,17:731-740,Turk J math,2017,41:387-403 and Filomat,2020,34:3339-3347 are special cases of our ***,we estimate the truncation error of this sampling based on localized sampling without decay *** examples are also presented.

关键词： multidimensional sampling series sampling with partial derivatives contour integral truncation error

DErIVATIVE SAmPLING EXPANSIONS FOr THE LINEAr CANONICAL TrANSFOrm:CONVErGENCE AND ErrOr ANALYSIS

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Journal of Computational mathematics 2019年第3期37卷 403-418页

作者： mahmoud H.Annaby rashad m.asharabi Depar.m.nt of mathematics Faculty of ScienceCairo University12613 GizaEgypt Depar.m.nt of mathematics College of Arts and SciencesNajran UniversitySaudi Arabia

In recent decades,the fractional Fourier transform as well as the linear canonical transform became very efficient tools in a variety of approximation and signal processing *** are many literatures on sampling expansions of interpolation type for bandlimited functions in the sense of these ***,rigorous studies on convergence or error analysis are *** is our aim in this paper to establish sampling expansions of interpolation type for bandlimited functions and to investigate their convergence and error *** particular,we introduce rigorous error estimates for the truncation error and both amplitude and jitter-time errors.

关键词： Linear canonical transform Sampling theor.m. Truncation error Amplitude error Jitter-time error

Double sampling derivatives and truncation error estimates

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Applied mathematics(A Journal of Chinese Universities) 2018年第2期33卷 209-224页

作者： rashad m.asharabi Aisha m.Al-Hayzea Depar.m.nt of mathematics College of Arts and Sciences Najran University

This paper investigates double sampling series derivatives for bivariate functions defined on r2 that are in the Bernstein space. For this sampling series, we estimate some of the pointwise and uniform bounds when the function satisfies some decay conditions. The truncated series of this formula allow us to approximate any order of partial derivatives for function fr.m.Bernstein space using only a finite number of samples fr.m.the function itself. This sampling formula will be useful in the approximation theory and its applications, especially after having the truncation error well-established. Examples with tables and figures are given at the end of the paper to illustrate the advantages of this formula.

关键词： double sampling series truncation error bounds convergence rate

Nuclear radiation shielding effectiveness and corrosion behavior of some steel alloys for nuclear reactor systems

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Defence Technology（防务技术） 2019年第4期15卷 621-628页

作者： m.m. Sadawy r.m. El Shazly mining and Petroleum Engineering Depar.m.nt Al-Azhar University Nasr City Cairo 11371 Egypt Physics Depar.m.nt Faculty of Science Al-Azhar University Nasr City Cairo 11884 Egypt

Different types of nuclear par.m.ters and corrosion behavior were deduced for carbon steel(AISI 1018),austenitic(304 SS),and duplex(2507 SS)stainless steel *** types of neutron energies as well as nine gamma ray energy lines(121.78-1407.92 keV)were used to evaluate the macroscopic neutron cross-sections(∑,cm^-1)and mass attenuation coefficients[σ,cm^2·g^-1)of gamma ray *** corrosion behavior was investigated using different electrochemical *** results showed that the stainless-steel alloys had a good attitude than that of carbon steel alloy for neutron and gamma ray par.m.ters,especially the duplex stainless *** calculated values of mass attenuation coefficient using WinXcom computer progr.m.Version 3.1),exhibited a very good agreement with the exper.m.ntal values of that ***,the results indicated that duplex stainless-steel exhibited corrosion resistance higher than 304 SS and AISI 1018 steel alloys.

关键词： Steel alloys macroscopic cross-section mass attenuation coefficient Passive film Pitting

GIS-based analysis of fault patterns in urban areas： A case study of Irkutsk city, russia

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Geoscience Frontiers 2016年第2期7卷 287-294页

作者： r.m. Lobatskaya I.P. Strelchenko Irkutsk research Technological University Irkutsk Russia

The capabilities of GIS in modeling fault patterns are explored for Irkutsk city in East Siberia with implications for ground stability. The neotectonic structure of the area is visualized in three dimension （3D） taking into account fault dips, using the ArcGIS, Globalmapper and Paradigm Geophysical packages. The study area is divided into blocks of different size classes according to the length-based ranks of the bounding faults, which are of five classes distinguished with the equal interval method. The blocks show different deformation patterns, with different densities and strikes of crossing and bounding faults. The data are statistically processed using GIS to estimate the deformation degrees of blocks in arbitrary units per square kilometer using the attributes of rank and crossing/bounding position of faults and the size of blocks. The deformation degrees are then compared with available estimates of ground stability measured as a score of points corresponding to destabilizing factors. Although the comparison generally confirms some linkage between the deformation degree of blocks and their ground stability, the correlation is intricate and ambiguous. In order to enhance the advantages of GIS in building and analyzing 3D models of fault patterns for estimating ground stability and mitigating geological hazards, it is expected in the future to proceed fr.m.the reported initial step of visualization to more advanced analysis.

关键词： GIS 3D modeling Fault pattern Faults Blocks Ground stability

Heterogeneity of mature oligodendrocytes in the central nervous system

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Neural regeneration research 2025年第5期20卷 1336-1349页

作者： Chao Weng Adam m.r.Groh moein Yaqubi Qiao-Ling Cui Jo Anne Stratton G.r.Wayne moore Jack P.Antel Neuroimmunology Unit Montreal Neurological Institute-HospitalDepartment of Neurology and NeurosurgeryMcGill UniversityMontrealQCCanada Depar.m.nt of Neurology Renmin Hospital of Wuhan UniversityWuhanHubei ProvinceChina

mature oligodendrocytes form myelin sheaths that are crucial for the insulation of axons and efficient signal transmission in the central nervous *** evidence has challenged the classical view of the functionally static mature oligodendrocyte and revealed a gamut of dynamic functions such as the ability to modulate neuronal circuitry and provide metabolic support to *** the recognition of potential heterogeneity in mature oligodendrocyte function,a comprehensive summary of mature oligodendrocyte diversity is *** delve into early 20th-century studies by robertson and río-Hortega that laid the foundation for the modern identification of regional and morphological heterogeneity in mature ***,recent morphologic and functional studies call into question the long-assumed homogeneity of mature oligodendrocyte function through the identification of distinct subtypes with varying myelination ***,modern molecular investigations,employing techniques such as single cell/nucleus rNA sequencing,consistently unveil at least six mature oligodendrocyte subpopulations in the human central nervous system that are highly transcriptomically diverse and vary with central nervous system *** and disease related mature oligodendrocyte variation denotes the impact of pathological conditions such as multiple sclerosis,Alzheimer's disease,and psychiatric ***,caution is warranted when subclassifying mature oligodendrocytes because of the simplification needed to make conclusions about cell identity fr.m.temporally confined *** studies leveraging advanced techniques like spatial transcriptomics and single-cell proteomics pr.m.se a more nuanced understanding of mature oligodendrocyte *** research avenues that precisely evaluate mature oligodendrocyte heterogeneity with care to understand the mitigating influence of species,sex,central nervous system region,age,and disease,

关键词： aging central nervous system diseases electron microscopy heterogeneity immunohistochemistry myelin sheath natural history neuroglia oligodendroglia single-cell gene expression analysis

Guava extract (Psidium guajava) alters the labelling of blood constituents with technetium-99m

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Journal of Zhejiang University-Science B(Biomedicine & Biotechnology) 2006年第6期7卷 429-435页

作者： ABrEU P.r.C. ALmEIDA m.C. BErNArDO r.m. BErNArDO L.C. BrITO L.C. GArCIA E.A.C. FONSECA A.S. BErNArDO-FILHO m. Depar.m.nt of Biophysics and Biometry Institute of Biology Roberto Alcantara Gomes University of Estate of Rio de Janeiro Rio de Janeiro 20551030 Brazil Depar.m.nt of Physiology Biological Sciences and Health Center Federal University of Sergipe So Cristóvo Sergipe 49100000 Brazil Depar.m.nt of Pharmacology and Psychobiology Institute of Biology Roberto Alcantara Gomes University of Estate of Rio de Janeiro Rio de Janeiro 20551030 Brazil

Psidium guajava (guava) leaf is a phytotherapic used in folk medicine to treat gastrointestinal and respiratory dis-turbances and is used as anti-inflammatory medicine. In nuclear.m.dicine, blood constituents (BC) are labelled with techne-tium-99m (99mTc) and used to image procedures. However, data have demonstrated that synthetic or natural drugs could modify the labelling of BC with 99mTc. The aim of this work was to evaluate the effects of aqueous extract of guava leaves on the labelling of BC with 99mTc. Blood samples of Wistar rats were incubated with different concentrations of guava extract and labelled with 99mTc after the percentage of incorporated radioactivity (%ATI) in BC was determined. The results suggest that aqueous guava extract could present antioxidant action and/or alters the membrane structures involved in ion transport into cells, thus decreasing the radiolabelling of BC with 99mTc. The data showed significant (Pration of ATI in BC fr.m.blood incubated with guava extract.

关键词： Antioxidant Blood constituents Psidium guajava Technetium-99m

Getting physical with medical education:Exercise based virtual anatomy review classes for.m.dical students

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World Journal of methodology 2025年第1期15卷 20-25页

作者： Nadeesha r Samarasinghe Taniya S Nagpal michele L Barbeau Charys m martin Division of General Surgery Faculty of MedicineUniversity of British ColumbiaVancouver V6T 1Z3BCCanada Faculty of Kinesiology Sport and RecreationUniversity of AlbertaEdmonton T6G 2R3ABCanada Anatomy and Cell Biology University of Western OntarioLondon N6A 3K7ONCanada Depar.m.nt of Anatomy and Cell Biology Schulich School of Medicine and DentistryThe University of Western OntarioLondon N6A 3K7ONCanada

The benefits of regular physical activity are well ***,few studies have examined the effectiveness of integrating physical activity(PA)into curricula within a post-secondary *** investigate the incorporation of PA into medical curriculum,we developed a series of optional exercise-based review sessions designed to reinforce musculoskeletal(mSK)anatomy course *** synchronous sessions were co-taught by a group fitness instructor and an anatomy *** fitness instructor would lead students through both strength and yoga style exercises,while the anatomy instructor asked questions about relevant anatomical structures related to course material previously *** the sessions,participants were asked to evaluate the classes on their self-reported exam preparedness in improving mSK anatomy knowledge,PA levels,and mental *** participants completed surveys;a majority agreed that the classes increased understanding of mSK concepts(90.0%)and activity levels(97.7%).many(70.0%)felt that the classes helped reduce *** majority of respondents(90.0%)agreed that the classes contributed to increased feelings of social ***,medical students saw benefit in PA based interventions to supplement mSK course *** with increasing activity levels and pr.m.ting health behaviours,integrating PA into medical curriculum may improve comprehension of learning material,alleviate stress and foster social connectivity among medical students.

关键词： medical education musculoskeletal Anatomy Exercise Online learning

Exper.m.ntal Study of Endwall and Tip Clearance Flows in a Two- Dimensional Turbine rotor Blade Cascade - Effect of Incidence Angle

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Journal of Thermal Science 2000年第1期9卷 63-76页

作者： m. Govardhan B.H.L. Gowda r.m. Wankhade Depar.m.nt of mechanical Engineering Indian Institute of Technology Madras Chennai 600036 India Department of Applied Mechanics Indian Institute of Technology Madras Chennai 600 036 India(Department of Mechanical Engineering Indian Institute of T

Exper.m.ntal investigations were carried out on a two-dimensional cascade fitted with a 120° deflection rotor blades to study the effect of incidence angle on the endwall flow in the presence of tip clearance. A total of five incidence angles, namely: -10°，-10° -5°, 0°, 5° ， 10° were chosen and for each incidence angle, the exper.m.nts were conducted for five tip clearance values at a constant space -chord ratio of 0.79. The results are presented in the form of contours of static pressure coefficient on the endwall and the blade tip surface. In addition, the variation of static pressure coefficient ahead of the blade leading edge and fr.m.the pressure surface to the suction surface at various axial stations, and discharge coefficient gi different axial stations are presented. The results indicate that the adverse pressure gradient upstream of the leading edge is reduced as tip clearance is increased. The contours of static pressure coefficient on the endwall indicate a deep low-pressure trough near the suction surface in comparison to the normal trough for zero clearance. Loading also increases as incidence changes fr.m.the negative to positive values. Due to area contraction caused by the tip separation vortex, the fluid moving towards the tip gap fr.m.the pressure side is accelerated. Downstream of the tip separation vortex, the endwall pressure increases due to flow mixing. The maximum value of discharge coefficient increases and the point at which maximum value occurs shifts towards leading edge when incidence is changed fr.m.-10° to 10°.

关键词： endwall blade tip surface tip clearance incidence angle tip separation vortex discharge coefficient.