简介：Theground-stateandthermodynamicpropertiesofquantummixed-spinchainsof1/2-1/2-1-1and3/2-3/2-1-1areinvestigatedbyaquantumMonteCarlosimulationwiththeloop-clusteralgorithm.For1/2-1/2-1-1chain,wefindithastwophasesseparatedbyanenergy-gapvanishingpointintheground-state.For3/2-3/2-1-1chain,thenumericalresultsshowtwoenergy-gapvanishingpointsisolatedbydifferentphasesinitsground-state.Ourcalculationsindicatethatallthesegroundstatephasescanbeunderstoodbymeansofvalence-bond-solidpicture,andthethermodynamicbehavioratfinitetemperaturesiscontinuousasafunctionofparameterα=J2/J1.

简介：Inthispaper,thetwo-dimensionalMarcinkewiczintegralintroducedbySteinμ（f）（x）=(∫0x|∫|x-y|≤1|x-y|Ω（x-y）f（y）dy|2t-3dt)2isshowntobeofweaktype（1,1）andweightedweaktype（1,1）withrespecttopowerweight|x|"if-1<α<0,whereΩishomogeneousofdegree0.hasmeanvalue0andbelongstoLlog+L（S1）.

简介：Thereactionof1-phenyl-3-methyl-4-benzoyl-2,5-dihydro-1H-pyrazol-5-one(PMBP)andmethyldithiocarbazate(mdtc)inmethanolresultsinformationofayellowcrystallinesolid,adductof1-phenyl-3-methyl-4benzoyl-2,5-dihydro-lH-pyrazol-5-oneandmethyldithiocarbazate.Whentheyellowsolidsweredissolvedinamixtureofmethanolandether(1:4),aredcrystal,whichisanoxidationproductoftheformer,wasobtainedbyallowingsolventtoevaporateforafewdaysatroomtemperature.TheX-rayanalysisoftheredcrystalindicatesthatitisanoveldisulfidewithaspecialstructurelikea“U”conformationinthesolidstate.

简介：α-Aminonitrileswerepreparedefficientlyfromanodiccyanationofα-aminoester.Theeffectofdifferentsolventsandelectrolyteswasstudied.Theotherbyproductswereanalyzed.

简介：本文考虑非自治差分方程x+1=xnexp[rn1-xn/1-λx^n]n=0,1,2,……的全局吸引性，这里{rn}是正实数到0

简介：随便取一个自然数，如果它是偶数，用２除它；如果它是奇数，将它乘３之后再加１，这样反复运算，最终必然得１．比如，取自然数Ｎ＝６．６是偶数，先用２除，６÷２＝３；３是奇数，要将它乘３之后再加１，３×３＋１＝１０；按着上述法则往下做：１０÷２＝５；５×３＋１＝１６；１６÷２＝８；８÷２＝４；４÷２＝２；２÷２＝１．从６开始经历了３→１０→５→１６→８→４→２→１，最后得１．通过大量演算发现最后结果总是得１．于是数学家提出如下猜想：对于任一个自然数Ｎ，若Ｎ是偶数，就把它变成Ｎ２；若Ｎ是奇数，就把它变成３Ｎ＋１．按照这个规则运算下去，最后必然得１．这个猜想到目前还没有人给予证明，不过日本东京大学的米田信

简介：Anecessaryandsufficientconditionofregularityof（0,1,…,m-2,m）interpolationonthezerosof（1-x）Pn-1α,β（x）（α>-1,β≥-1）inamanageableformisestablished,wherePn-1α,β（x）standsforthe（n-1）thJacobipolynomial.Meanwhile,theexplicitrepresentationofthefundamentalpolynomialswhentheyexist,isgiven.

简介：<正>(a1/2)2和（a2）1/2兄妹俩,一来到花果山就受到众猴儿的青睐,争相和他俩交朋友,哪知有的小猴对他俩不礼貌,有时还受到了委屈,于是他俩就到猴王那里去告状,兄妹俩来到猴王面前,深深行了个鞠躬礼说:“报告猴王,小猴儿常把我俩张冠李戴,用我俩来解题时,

简介：本文用样条函数对GM（m,1)(m=1,2)模型的残差序列进行行值似合，得到GSM（m,1)(m=1,2)模型的数值解。

简介：这篇论文在γ_上计算刺地图2并且证明它被2b_(2,0)代表在ASS的h_(1,2)。作者也计算b_(2,0)微分的更高的5月，从哪个它被证明那γ_3(b_0h_n-h_1b_(n-1))为2≤s1是在ASS的永久周期。

简介：Wehavesuccessfullysynthesized1-(2′-Phenyl)cycloproply1-2,3-epoxypropan-1-ol3,whichwillbeappliedtothekineticsstudyofoxiranylcarbinylradical.

简介：ＳＩＮＧＵＬＡＲＩＴＹＡＮＤＱＵＡＤＲＡＴＵＲＥＲＥＧＵＬＡＲＩＴＹＯＦ（０，１，．．．，ｍ－２，ｍ）─ＩＮＴＥＲＰＯＬＡＴＩＯＮＯＮＴＨＥＺＥＲＯＳＯＦ（１－ｘ）Ｐｎ－１αβ（ｘ）ＳｈｉＹｉｎｇｇｕａｎｇ（史应光）(ＣｏｍｐｕｔｉｎｇＣｅ...

简介：Treatmentof4-amino-3-(1-aryl-5-methyl-1,2,3-triazol-4-yl)-5-mercapto-1,2,4-triazoles/2-amino-5-(1-aryl-5-methyl-1,2,3-triazole-4-yl)-1,3,4-thiadiazoleswithbenzaldehyde,acetoneandω-bromoacetophenonewastestedandcompared.ThetitlecompoundsSchiffbases,amides,imidazolo[2,1-b]-1,3,4-thiadiazolesand7H-s-triazolo[3,4-b]-1,3,4-thiadiazineshavebeenconfirmedbyelementalanalyses,^1HNMR,IRandMSspectra.AllthecompoundshavealsobeenscreenedfortheirantibacterialactivitiesagainstB.subtilis,S.aureusandE.coli.

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简介：ThedecompositionoftherepresentationsT0(v∈R)oreconsideredhere.ThePlancherelformulafortheuniversalcoveringgroupofSU(1,1)isalsodeduced.

简介：Abosonicconstruction(withcentralchargec=2)ofLiealgebrasW1+∞andW1+∞(glN),aswellasthedecompositionsintoirreduciblemodulesaredescribed.AndforW1+∞,whenrestrictedtoitsVirasorosubalgebraVir,abosonicconstructionandthesamedecompositionforVirareobtained.

简介：讨论了L1[0,1]空间最佳单调逼近的极端点问题,给出了相应的结果.

简介：设α是正实数,[α0;α1,α2。…]是α的简单连分数;d是非平方整数,d1、d2是适合d1d2=d,1≤d11,d2）=1的正整数,本文证明了:当且仅当α=（d2/d1）（1/2）时,α=[α0α1,…αn-1,2α0],其中α0>0,αi=αn-1（i=1…,α-1）.

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