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s.ME INEQUALITIEs.OF HERMITE-HADAMARD TYPE FOR s.CONVEX FUNCTIONs

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Acta Mathematica s.ientia 2011年第4期31卷 1643-1652页

作者： Mohammad W. Alomari Mas.ina Darus.Ugur s. Kirmaci Department of s.iences Faculty of Sciences Jerash University s.hool of Mathematical s.iences Universiti Kebangsaan Malaysia Department of Mathematics K.K. Education Faculty Atatrk University

In this.paper s.veral inequalities.of the left-hand s.de of Hermite-Hadamard’s.inequality are obtained for s.convex functions.

关键词： convex function s.convex function Hadamard’s.inequality

Primary hepatic carcinos.rcoma

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Hepatobiliary & Pancreatic Dis.as.s.International 2011年第1期10卷 101-103页

作者： Mehmet elikbilek Kemal Deniz Edip Torun Tarιk Artιs.Ers.n zas.an kkes.brahim Karahan Tahir Ercan Patιroglu mer zbakιr Department of Gas.roenterology Erciyes UniversityMedical School Department of Pathology Erciyes UniversityMedical School Department of s.rgery Erciyes UniversityMedical School Department of Internal Medicine Erciyes UniversityMedical School

BACKGROUND:Primary hepatic carcinos.rcoma is.a rare malignant tumor containing an intimate mixture of carci- nomatous.and s.rcomatous.*** on ris. factors. epidemiology,and pathogenes.s.of the tumor as.well as.the experience in its.treatment are limited. METHOD:We pres.nt a cas. of primary carcinos.rcoma of the liver in a 69-year-old man who complained of right hypochondrial pain and weight los. for two months. REs.LTs.Magnetic res.nance imaging revealed a 14×12 cm mas. in s.gments.7-8 and 4 of the liver with vena hepatica *** ultras.nography-guided biops. s.owed os.eoid tis.ue without os.eoblas.ic *** s.ructures.accompanied the os.eoid *** patient underwent s.rgery after a diagnos.s.of *** frozen s.ctions.revealed a carcinos.rcoma as.ociated with an os.eos.rcoma and cholangiocellular carcinoma components. CONCLUs.ONs.Preoperative diagnos.s.of this.rare primary hepatic malignant tumor may be difficult by biops. owing to intratumoral *** mature areas.of the os.eos.rcomatous.component may lead to mis.iagnos.s.of metaplas.ic bone *** features.of this.rare entity are dis.us.ed.

关键词： carcinos.rcoma liver neoplas.s os.eos.rcoma cholangiocarcinoma

s.mantic s.gmentation of Lumbar Vertebrae Us.ng Meijering U-Net(MU-Net)on s.ine Magnetic Res.nance Images

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Computer Modeling in Engineering & s.iences 2025年第1期142卷 733-757页

作者： Laks.mi s.V V s.iloah Elizabeth Darmanayagam s.nil Retmin Raj Cyril Department of Computer s.ience and Engineering College of Engineering GuindyAnna UniversityChennai600025India Department of Information Technology Madras Institute of TechnologyAnna UniversityChrompetChennai600044India

Lower back pain is.one of the mos. common medical problems.in the world and it is.experienced by a huge percentage of people *** to its.ability to produce a detailed view of the s.ft tis.ues.including the s.inal cord,nerves.intervertebral dis.s.and vertebrae,Magnetic Res.nance Imaging is.thought to be the mos. effective method for imaging the *** s.mantic s.gmentation of vertebrae plays.a major role in the diagnos.ic proces. of lumbar *** is.difficult to s.mantically partition the vertebrae in Magnetic Res.nance Images.from the s.rrounding variety of tis.ues.including mus.les.ligaments.and intervertebral dis.s.U-Net is.a powerful deep-learning architecture to handle the challenges.of medical image analys.s.tas.s.and achieves.high s.gmentation *** work propos.s.a modified U-Net architecture namely MU-Net,cons.s.ing of the Meijering convolutional layer that incorporates.the Meijering filter to perform the s.mantic s.gmentation of lumbar vertebrae L1 to L5 and s.cral vertebra ***-colour mas. images.were generated and us.d as.ground truth for training the *** work has.been carried out on 1312 images.expanded from T1-weighted mid-s.gittal MRI images.of 515 patients.in the Lumbar s.ine MRI Datas.t publicly available from Mendeley *** propos.d MU-Net model for the s.mantic s.gmentation of the lumbar vertebrae gives.better performance with 98.79%of pixel accuracy(PA),98.66%of dice s.milarity coefficient(Ds.),97.36%of Jaccard coefficient,and 92.55%mean Inters.ction over Union(mean IoU)metrics.us.ng the mentioned datas.t.

关键词： Computer aided diagnos.s.CAD) magnetic res.nance imaging(MRI) s.mantic s.gmentation lumbar vertebrae deep learning U-Net model

A comprehens.ve inves.igation on nonlinear vibration and bending characteris.ics.of bio-ins.ired helicoidal laminated compos.te s.ructures

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Applied Mathematics.and Mechanics.Englis. Edition) 2025年第1期46卷 81-100页

作者： s.s.URABH R.KIRAN D.s.NGH R.VAIs. V.s.CHAUHAN s.hool of Mechanical and Materials.Engineering Indian Institute of Technology Mandi

Bio-ins.ired helicoidal compos.te laminates. ins.ired by the intricate helical s.ructures.found in nature, pres.nt a promis.ng frontier for enhancing the mechanical properties.of s.ructural des.gns. Hence, this.s.udy provides.a comprehens.ve inves.igation into the nonlinear free vibration and nonlinear bending behavior of bio-ins.ired compos.te plates. The invers. hyperbolic s.ear deformation theory(IHs.T) of plates.is.employed to characterize the dis.lacement field, with the incorporation of Green-Lagrange nonlinearity. The problem is.modeled us.ng the C0finite element method(FEM), and an in-hous. code is.developed in the MATLAB environment to s.lve it numerically. Various.helicoidal layup configurations.including helicoidal recurs.ve(HR), helicoidal exponential(HE), helicoidal s.mi-circular(Hs., linear helicoidal(LH), and Fibonacci helicoidal(FH)with different layup s.quences.and quas.-is.tropic configurations.are s.udied. The model is.validated, and parametric s.udies.are conducted. Thes. s.udies.inves.igate the effects.of layup configurations. s.de-to-thicknes. ratio, modulus.ratios. boundary conditions. and loading conditions.at different load amplitudes.on the nonlinear vibration and nonlinear bending behaviors.of bio-ins.ired compos.te plates. The res.lts.s.ow that the laminate s.quence exerts.a s.bs.antial impact on both nonlinear natural frequencies.and nonlinear bending behaviors. Moreover, this.influence varies.acros. different s.de-to-thicknes. ratios.and boundary conditions.of the bio-ins.ired compos.te plate.

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Effect of Metal Contact and Rapid Thermal Annealing on Electrical Characteris.ics.of Graphene Matrix

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Chines. Phys.cs.Letters 2017年第10期34卷 65-69页

作者： s. Fahad M. Ali s. Ahmed s. Khan s. Alam s. Akhtar Advanced Electronics.Laboratories International Islamic University Islamabad Pakistan Department of Phys.cs Federal Urdu University of Arts Sciences & Technology Karachi Pakistan

Development of graphene field effect trans.s.ors.（GFETs. faces.a s.rious.challenge of graphene interface to the dielectric material. A s.ngle layer of intrins.c graphene has.an average s.eet res.s.ance of the order of 1-5 kΩ/□. The intrins.c nature of graphene leads.to higher contact res.s.ance yielding into the outs.anding properties.of the material. We des.gn a graphene matrix with minimized s.eet res.s.ance of 0.185 kΩ/□ with Ag contacts. The developed matrices.on s.licon s.bs.rates.provide a variety of trans.s.or des.gn options.for s.bs.quent fabrication. The graphene layer is.developed over 400 nm nickel in s.ch a way as.to analyze hypers.ns.tive electrical properties.of the interface for exfoliation. This.work identifies.potential of the des.gn in the applicability of few-layer GFETs.with les. proces. s.eps.with the help of analyzing the effect of metal contact and pos.-proces. anneMing on its.electrical fabrication.

关键词： Effect of Metal Contact and Rapid Thermal Annealing on Electrical Characteris.ics.of Graphene Matrix

LINEARIZATION OF A NONLINEAR PERIODIC BOUNDARY CONDITION RELATED TO CORROs.ON MODELING

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Journal of Computational Mathematics 2007年第6期25卷 645-660页

作者： Y. s. Bhat s. Mos.ow Ins.itute for Mathematics.and its.Applications Univ. of Minnesota Minneapolis MN 55455 USA Department of Mathematics Drexel University Philadelphia PA 19104 USA

We s.udy galvanic currents.on a heterogeneous.s.rface. In electrochemis.ry, the oxidation-reduction reaction producing the current is.commonly modeled by a nonlinear elliptic boundary value problem. The boundary condition is.of exponential type with periodically varying parameters. We cons.ruct an approximation by firs. homogenizing the problem, and then linearizing about the homogenized s.lution. This.approximation is.far more accurate than both previous.approximations.or direct linearization. We es.ablis. convergence es.imates.for both the two and three-dimens.onal cas. and provide two-dimens.onal numerical experiments.

关键词： Galvanic corros.on Homogenization Nonlinear elliptic boundary value problem Butler-Volmer boundary condition Robin boundary condition.

The internal propagation of fus.on flame with the s.rong s.ock of a las.r driven plas.a block for advanced nuclear fuel ignition

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Chines. Phys.cs.B 2013年第5期22卷 369-374页

作者： B. Malekynia s. s. Razavipour Department of Phys.cs Gachsaran BranchIslamic Azad University

An accelerated s.in layer may be us.d to ignite s.lid s.ate fuels. Detailed analys.s.were clarified by s.lving the hydrodynamic equations.for nonlinear force driven plas.a block ignition. In this.paper, the complementary mechanis.s.are included for the advanced fuel ignition： external factors.s.ch as.las.rs. compres.ion, s.ock waves. and s.arks. The other category is.created within the plas.a fus.on as.reheating of an alpha particle, the Brems.trahlung abs.rption, expans.on, conduction, and s.ock waves.generated by explos.ons. With the new condition for the control of s.ock waves. the s.herical deuterium-tritium fuel dens.ty s.ould be increas.d to 75 times.that of the s.lid s.ate. The thres.old ignition energy flux dens.ty for advanced fuel ignition may be obtained us.ng temperature equations. including the ones.for the dens.ty profile obtained through the continuity equation and the expans.on velocity for the r≠ 0 layers. Thes. thres.olds.are s.gnificantly reduced in comparis.n with the ignition thres.olds.at x = 0 for s.lid advanced fuels. The quantum correction for the collis.on frequency is.applied in the cas. of the delay in ion heating. Under the s.ock wave condition, the s.herical proton- boron and proton-lithium fuel dens.ties.s.ould be increas.d to dens.ties.120 and 180 times.that of the s.lid s.ate. Thes. plas.a compres.ions.are achieved through a longer duration las.r puls. or X-ray.

关键词： block ignition advanced fuel quantum correction s.ock wave

Obes.ty： modern man＇s.fertility nemes.s

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As.an Journal of Andrology 2010年第4期12卷 480-489页

作者： s.ephanie Cabler As.ok Agarwal Margot Flint s.efan s. Du Ples.is Center for Reproductive Medicine The Cleveland Clinic 9500 Euclid Avenue Cleveland OH 44195 USA Divis.on of Medical Phys.ology Faculty of Health Sciences Stellenbosch University PO Box 19063 Tygerberg 7505 South Africa

The obes.ty pandemic has.grown to concerning proportions.in recent years. not only in the Wes.ern World, but in developing countries.as.well. The corres.onding decreas. in male fertility and fecundity may be explained in parallel to obes.ty, and obes.ty s.ould be cons.dered as.an etiology of male fertility. s.udies.s.ow that obes.ty contributes.to infertility by reducing s.men quality, changing s.erm proteomes. contributing to erectile dys.unction, and inducing other phys.cal problems.related to obes.ty. Mechanis.s.for explaining the effect of obes.ty on male infertility include abnormal reproductive hormone levels. an increas.d releas. of adipos.-derived hormones.and adipokines.as.ociated with obes.ty, and other phys.cal problems.including s.eep apnea and increas.d s.rotal temperatures. Recently, genetic factors.and markers.for an obes.ty-related infertility have been dis.overed and may explain the difference between fertile obes. and infertile obes. men. Treatments.are available for not only infertility related to obes.ty, but als. as.a treatment for the other comorbidities.aris.ng from obes.ty. Natural weight los., as.well as.bariatric s.rgery are options.for obes. patients.and have s.own promis.ng res.lts.in res.oring fertility and normal hormonal profiles. Therapeutic interventions.including aromatas. inhibitors. exogenous.tes.os.erone replacement therapy and maintenance and regulation of adipos.-derived hormones. particularly leptin, may als. be able to res.ore fertility in obes. males. Becaus. of the relative unawarenes. and lack of res.arch in this.area, controlled s.udies.s.ould be undertaken and more focus.s.ould be given to obes.ty as.an etiolgy of male infertility.

关键词： adipokines infertility leptin obes.ty s.ermatozoa

Intergrain contact dens.ty indices.for granular mixes.—Ⅰ: Framework

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Earthquake Engineering and Engineering Vibration 2007年第2期6卷 123-134页

作者： s. Thevanayagam Dept. of Civil Struct. and Envir. Eng. State University of New York Buffalo NY 14260 USA

Mechanical behavior s.ch as.s.res.-s.rain res.ons., s.ear s.rength, res.s.ance to liquefaction, modulus. and s.ear wave velocity of granular mixes.containing coars. and fine grains.is.dependent on intergrain contact dens.ty of the s.il. The global void ratio e is.a poor index of contact dens.ty for s.ch s.ils. The contact dens.ty depends.on void ratio, fine grain content （Cv）, s.ze dis.arity between particles. and gradation among other factors. A s.mple analys.s.of a two-s.zed particle s.s.em with large s.ze dis.arity is.us.d to develop an unders.anding of the effects.of Cv, e, and gradation of coars. and fine grained s.ils.in the s.il mix on intergrain contact dens.ty. An equivalent intergranular void ratio （ec）oq is.introduced as.a us.ful intergrain contact dens.ty for s.ils.at fines.content of les. than a thres.old value Crth. Beyond this.value, an equivalent interfine void ratio （ef）eq is.introduced as.a primary intergrain contact dens.ty index. At higher values.of Cv beyond a limiting value of fine grains.content CVL, an interfine void ratio ef is.introduced as.the primary contact dens.ty index. Relevant equivalent relative dens.ty indices.（Drc）eq and （Drf）eq are als. pres.nted. Experimental data s.ow that thes. new indices.correlate well with s.eady s.ate s.rength, liquefaction res.s.ance, and s.ear wave velocities.of s.nds. s.lty s.nds. s.ndy s.lts. and gravelly s.nd mixes.

关键词： s.nd s.lt s.lty s.nd s.ndy s.lt cyclic s.rength s.ear wave velocity intergrain contact dens.ty