简介:A(k;g)-graphisak-regulargraphwithgirthg.A(k;g)-cageisa(k;g)-graphwiththeleastpossiblenumberofvertices.Letf(k;g)denotethenumberofverticesina(k;g)-cage.Thegirthpairofagraphgivesthelengthofashortestoddandashortestevencycle.Afc-regulargraphwithgirthpair(g,h)iscalleda(k;g,h)-graph.A(k;g,h)-cageisa(k;g,h)-graphwiththeleastpossiblenumberofvertices.Letf(k;g,h)denotethenumberofverticesina(k;g,h)-cage.Inthispaper,weprovethefollowingstrictinequalityf(k;h-1,h)
简介:Alooplessgraphonnverticesinwhichverticesareconnectedatleastbyaandatmostbybedgesiscalleda(a,b,n)-graph.A(b,b,n)-graphiscalled(b,n)-graphandisdenotedbyKbn(itisacompletegraph),itscomplementbyKbn.Anonincreasingsequencep=(d1,…,dn)ofnonnegativeintegersissaidtobe(a,b,n)graphicifitisrealizablebyan(a,b,n)-graph.Wesayasimplegraphicsequencep=(d1,…,dn)ispotentiallyK4—K2[K2-graphicifithasaarealizationcontaininganK4—K2[K2asasubgraphwhereK4isacompletegraphonfourverticesandK2[K2isasetofindependentedges.Inthispaper,wefindthesmallestdegreesumsuchthateveryn-termgraphicalsequencecontainsK4—K2[K2assubgraph.
简介:摘要 目的:药品无菌检查中,污染的微生物的种类和抗性、样品的处理方法、样品的浓度、检查方法、培养基、培养条件等,将直接影响检查结果。只有在各检查条件均适宜时,才能保证样品中污染的微生物的充分生长。因此无菌检查应证明所采用的方法和检验条件是可靠的,以保证检查方法的完整性和实验结果的可靠性。 方法:试验按《中国药典》2020年版四部通则1101无菌检查法要求,用HTY-2000AG8无菌检查用隔离器,采用薄膜过滤法,加入6种株菌:大肠埃希菌( Escherichia coli)〔CMCC(B)44 102〕,金黄色葡萄球菌(Staphylococcus )[CMCC(B)26 003] ,枯草芽孢杆菌(Bacillus subtilis )[CMCC(B)63 501] ,生孢梭菌(Clostridium sporogenes)[CMCC(B)64941],白色念珠菌(Candidaalbicans) [CMCC(F)98 001] ,黑曲霉 Aspergillus niger [CMCC(F)98 003] 。对每一试验菌在含供试品的容器中的生长情况逐一进行确认,从而建立该品种的无菌检查方法。结果:与对照管比较,含供试品各容器中的试验菌均生长良好。关键词:方法适用性试验;薄膜过滤法
简介:Inthispaper,maximum-likelihood(ML)anditsrelaxationalgorithm,whichareusedtoidentifythemathematicsmodelofanunderwatervehicle(UV),arcdiscussed.Withthetrialdataofzigzagtests,thehydrodynamicderivativesoftheUVwereestimated,andtherelaxationalgorithmisconfirmedtohavebetterastringencyfromthecontrastbetweenthetwomethods.Thenasimulationenvironmentbasedontheseparametersisestablishedtoverifythevalidityandeffectofthesemeth-ods.Theresultshowsthemodeliscredibleandthemethodsareveryusefulfortheresearchofmaneuverabilityandadaptivecontrolofunderwatervehicles.
简介:AbstractBackground:The programmed intermittent epidural bolus (PIEB) technique is widely used in labor analgesia, but the parameter settings of PIEB have not yet been standardized. We designed a study to identify the optimal interval duration for PIEB using 10 mL of ropivacaine 0.08% and sufentanyl 0.3 μg/mL, a regimen commonly used to control labor pain in China, to provide effective analgesia in 90% of women during the first stage of labor without breakthrough pain.Methods:We conducted a double-blind sequential allocation trial to obtain the effective interval 90% (EI90%) during the first stage of labor between April 2019 and May 2019. This study included the American Society of Anesthesiologists physical status II–III nulliparous parturients at term, who requested epidural analgesia. The bolus volume was fixed at 10 mL of ropivacaine 0.08% with sufentanyl 0.3 μg/mL. Participants were divided into four groups (groups 60, 50, 40, and 30) according to the PIEB intervals (60, 50, 40, and 30 min, respectively). The interval duration of the first parturient was set at 60 min and that of subsequent parturients varied according to a biased-coin design. The truncated Dixon and Mood method and the isotonic regression analysis method were used to estimate the EI90% and its 95% confidence intervals (CIs).Results:Forty-four women were enrolled in this study. The estimated optimal interval was 44.1 min (95% CI 41.7–46.5 min) and 39.5 min (95% CI 32.5–50.0 min), using the truncated Dixon and Mood method and isotonic regression analysis, respectively. The maximum sensory block level above T6 was in nearly 20% of parturients in group 30; however, 5.3%, 0%, and 0% of the parturients presented with sensory block level above T6 in groups 40, 50, and 60, respectively. There were no cases of hypotension and only one parturient complained of motor block.Conclusion:With a fixed 10 mL dose of ropivacaine 0.08% with sufentanyl 0.3 μg/mL, the optimal PIEB interval is about 42 min. Further studies are warranted to define the efficacy of this regimen throughout all stages of labor.Trial registration:Chinese Clinical Trial Registry, ChiCTR1900022199; http://www.chictr.org.cn/com/25/historyversionpuben. aspx?regno=ChiCTR1900022199.