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简介：这篇文章介绍hypersingular积分的近似?abg(x)(x-t)dx并且?abg(x)|x-t|有任意的单个点t的dx(一，b)并且否定部分数字<-1。这些一般扩大对hypersingular积分的一个大范围适用，包括在文学和还没被探讨的另外的重要的讨论的两流行hypersingular积分。相应中间矩形的公式和推测，能以相当直接的方法计算，被调查。数字例子被提供说明数字方法的特征并且验证理论结论。

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简介：AIMTodeterminewhetherthenumberofexaminedlymphnodes(LNs)iscorrelatedwiththeoverallsurvivalofgallbladdercarcinoma(GBC)patients.METHODSPatientswerecollectedfromtheSurveillanceEpidemiologyandEndResultsdatabase(2004-2013)andcategorizedbythenumberofLNsintosixgroups:1LN,2LNs,3LNs,4LNs,5LNs,and≥6LNs.SurvivalcurvesforoverallsurvivalwereplottedwithaKaplan-Meieranalysis.Thelog-ranktestwasusedforunivariatecomparisons.RESULTSInacohortof893patients,themediannumberofexaminedLNswastwofortheentirecohort.Thesurvivalforthe1LNgroupwassignificantlypoorerthanthoseofthestageⅠandⅡdiseasegroupsandfortheentirecohort.BydichotomizingthenumberofLNsfrom1to6,wefoundthattheminimumnumberofLNsthatshouldbeexaminedwasfourforstageⅠ,fourorfiveforstageⅡ,andsixforstageⅢAdisease.Therefore,fortheentirecohort,thenumberofexaminedLNsshouldbeatleastsix,whichisexactlyconsistentwiththeAmericanJointCommitteeonCancercriteria.CONCLUSIONTheexaminationofhighernumbersofLNsisassociatedwithimprovedsurvivalafterresectionsurgeryforN0GBC.TheguidelinesforGBCsurgery,whichrecommendthatsixLNsbeexaminedatleast,arestatisticallyvalidandshouldbeappliedinclinicalpracticewidely.

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