简介：在这篇文章，我们与身份在一枚可交换的戒指上把几乎主要的submodules定义为单一的模块的主要、弱主要的submodules的新归纳。我们学习几乎主要的submodules的一些基本性质并且给他们的一些描述，为特别(有限地产生了忠诚)增加模块。

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简介：我们给更有效的标准描述主要理想或主要的理想。进一步，我们获得理想在从Gr的真实的地里主要或主要的必要、足够的条件?bner底直接。

简介：让R是一枚戒指，一，bR，(D，，并且()，并且(G，)二被概括R的推导。如果，它被证明那为所有xR的广告(x)=G(x)b，那么，下列可能性之一成立：(i)如果也orb在C被包含，那么==0并且在那里存在p，qQr(RC)以便为所有xR的D(x)=px和G(x)=qx；(ii)如果andb在C被包含，那么也=b=0或D和G线性地是C依赖；(iii)如果既不一b也没在C被包含，那么在那里存在p，qQr(RC)和wQr(R)以便(x)=[q，x]_and(x)=[x，p]_for所有xR，何处D(x)=wx?有vC和aw的xq和G(x)=xp+avx?pb=0。

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简介：Thispaperpresentsacriterionfortestingtheirreducibilityofapolynomialoveranalgebraicextensionfield.Usingthiscriterionandthecharacteristicsetmethod,theauthorsgiveacriterionfortestingwhethercertaindifferenceascendingchainsarestrongirreducible,andasaconsequence,whetherthesaturationidealsoftheseascendingchainsareprimeideals.

简介：Inthispaper,weconsiderthesimultaneousrepresentationofpairsofintegersaslinearcombinationsinthreeprimevariablesandobtainarelatednumericalbound.

简介：<正>ItisprovedthateverylargeintegerN≡5（mod24）canbewrittenasN=p12+…+p52witheachprimepjsatisfying|pJ-（N/5|）1/2≤N11/23.ThisgivesashortintervalversionofHua’stheoremonthequadraticWaring-Goldbachproblem

简介：两次，一个主要广场被给的顺序的五价的对称的图的一个分类。如此的一张图是coset，这被证明3.A6(非裂口延期)的图，或顺序125的一个额外专辑的组的一张bi-coset图，或顺序的特定的abelianCayley两个字母并成的一个单音的标准双盖子一个主要广场。

简介：让π和π′是GLm(ℚ)和GLm′的自形的无法缩减的尖代表(ℚ),分别地，并且L(s，π×)Rankin-SelbergL功能被纳入π和π′。没有假定概括Ramanujan，推测(GRC)，作者为L给概括素数定理(s，π×)什么时候π≅π′。结果在2007概括刘和汝的相应结果。

简介：OnJune9th,2014,HerExcellencySheikhHasina,PrimeMinisterofthePeople'sRepublicofBangladesh,deliveredaspeechentitled'SocioeconomicAchievementsofBangladeshinRecentYearsandPartnershipwithChina'atthe

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简介：Aschemeofverycompactstoreforlarge-scaleprimelistisgivenandtwoalgorithmsforrapidgeneratingthelistareprovided.

简介：Inthispaper,rankfactorizationsandfactorleftprimefactorizationsarestudied.Theauthorsprovethatanypolynomialmatrixwithfullrowrankhasfactorleftprimefactorizations.Andforaclassofpolynomialmatrices,theauthorsgiveanalgorithmtodecidewhethertheyhaverankfactorizationsorfactorleftprimefactorizationsandcomputethesefactorizationsiftheyexist.

简介：ItisprovedthateachsufficientlylargeintegerN≡5(mod24)canbewrittenasN=p12+p22+p23+p24+p25with|pj-√N/5|≤U=N1/2-1/35+ε,wherepjareprimes.Thisresult,whichisobtainedbyaniterativemethodandahybridestimateforDirichletpolynomial,improvesthepreviousresultsinthisdirection.

简介：Asignalwaveformrecoverymethodbasedonthecoprimearrayisinvestigatedtoextractthewaveformofthedesiredsignalfromspatialinterferencesinnarrowbandscenarios.Thedirectionofarrivals(DOAs)ofthedesiredsignalandinterferencesignalsareestimatedwiththecompressivesensingapproachbasedonanglegrids,andthesignalpowertogetherwiththenoisepowerareestimated.Thereafter,amodifiedsteepestdescent(SD)methodisderivedtorecoverthewaveformofthedesiredsignalandinterferencesutilizingtheestimatedpoweranddirections.Therecoveredwaveformofthedesiredsignalistheoutputoftheproposedmethod.Thesituationinwhichthesignalsarenotonthepredefinedanglegridsisalsoconsidered.TheDOAsestimatedpredefinedanglegridsisalsoconsidered.TheDOAsestimatedlikelihood(ML)angleestimation.Comparedtotheexistingbeamformingmethodsonco-primearray,theproposedmethodcanobtainthewaveformofthedesiredsignal.Simulationresultsdemonstratethattheproposedmethodcanachievegoodperformanceinsignalwaveformrecoveryandoutputsignaltonoiseratio.

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简介：ThedistributionofthePjateckli-Saplroprimenumbersinarithmeticprogresionsisinvestigated,andaBombiari-Vinogradovtypemean-valuetheoremandanotheralmostallresultconcerningthisproblemareestablished.

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简介：Denovosequencingisoneofthemostpromisingproteomicstechniquesforidentificationofproteinposttranslationmodifications(PTMs)instudyingproteinregulationsandfunctions.WehavedevelopedacomputertoolPRIMEforidentificationofbandyionsintandemmassspectra,akeychallengingproblemindenovosequencing.PRIMEutilizesafeaturethationsofthesameanddifferenttypesfollowdifferentmass-differencedistributionstoseparatebfromyionscorrectly.Wehaveformulatedtheproblemasagraphpartitionproblem.Alinearinteger-programmingalgorithmhasbeenimplementedtosolvethegraphpartitionproblemrigorouslyandefficiently.TheperformanceofPRIMEhasbeendemonstratedonalargeamountofsimulatedtandemmassspectraderivedfromYeastgenomeanditspowerofdetectingPTMshasbeentestedon216simulatedphosphopeptides.