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Liouville"s Theorem on entire functions is proposed as a proving method for theta function identities. Several identities are exemplified, such as the quintuple and septuple product identities; four symmetric difference identities related to the Ramanujan"s congruence modulo 11 on the partition function; as well as two theta function identities on the Rogers-Ramanujan functions G and H.

作者提出利用Liouville定理作为证明theta函数恒等式的基本方法,并以Watson五重积,Hirschhorn七重积恒等式,四个与分拆函数中Ramanujan的模11同余有关的对称差恒等式,以及两个与Rogers-Ramanujan函数G,H有关的theta函数恒等式为范例,论证这种方法的有效性。

The main contents are: First, the abolition of the side-street parking, the construction of a 850 car parking spaces on the ground floor of the five-storey car park to free up the 4 hectares to expand the road pavement; Second, the road resurfacing on the sidewalk, there was a light gray Small blue dot granite laid, in order to give people the feeling of quiet calm; three, and widen the sidewalk and then kind of two rows of wooden Indus, on both sides of the road will have a 4 row of trees, shade trees appeared to take a walk Avenue of the landscape; four , The road to the replacement of "the family silver", including the re-installation of street lamps, benches, bus shelters, posters and columns, such as kiosks.

内容主要有:一、取消路边停车侧道,兴建一个拥有850个车位的地下五层停车场,把腾出的4公顷路面拓为人行道;二、重铺人行道路面,用浅灰色间有小蓝点的花岗石铺设,给人以宁静沉稳的感觉;三、拓宽人行道后,再种两排梧桐木,大道两侧就有了4排树木,出现绿树掩映的散步大道景观;四、给大道重置"家当",包括重新安装路灯、长椅、公共汽车候车亭、海报柱、报亭等。

The reaction can be carried out in a non-aqueous solution and 4-aminopyridine can be diazotized with this method.

这个方法表现出如下优点:1),整个重氮化与偶联反应均在非水溶剂中进行;2),改变原料不同投料比,可以分别得到含有一,二,四偶联产物为主的反应产物;3),可以合成在酸性水溶液中不易重氮化的4-氨基吡啶的偶氮化合物。

Compounds 3a-3d, 4a-4d, 5a-5d, 6a-6e and 7a-7e were prepared with a new efficient method, in which the aromatic amines were diazotized with isoamyl nitrite in EtONa/EtOH under refluxing condition, and mono -, bis -and tetrakis -substituted calix [4] arenes were obtained respectively as main product by diazo-coupling in different molar ratio to calix [4] arene.

一,提出了一个有效的新方法合成含有芳香偶氮基团的杯[4]芳烃衍生物3a-3d;4a-4d;5a-5d;6a-6e和7a-7e:即在非水溶剂乙醇中用亚硝酸异戊酯,在强碱乙醇钠存在下对芳香胺进行重氮化,得到芳香重氮酸盐沉淀,过滤,然后加入杯[4]芳烃的四氢呋喃溶液,通入CO〓气体调节溶液的pH值为7-9,使其发生偶联反应。

The main contents are: First, the abolition of the side-street parking, the construction of a 850 car parking spaces on the ground floor of the five-storey car park to free up the 4 hectares to expand the road pavement; Second, the road resurfacing on the sidewalk, there was a light gray Small blue dot granite laid, in order to give people the feeling of quiet calm; three, and widen the sidewalk and then kind of two rows of wooden Indus, on both sides of the road will have a 4 row of trees, shade trees appeared to take a walk Avenue of the landscape; four , The road to the replacement of "the family silver", including the re-installation of street lamps, benches, bus shelters, posters and columns, such as kiosks.

内容主要有:一、取消路边停车侧道,兴建一个拥有850个车位的地下五层停车场,把腾出的4公顷路面拓为人行道;二、重铺人行道路面,用浅灰色间有小蓝点的花岗石铺设,给人以宁静沉稳的感觉;三、拓宽人行道后,再种两排梧桐木,大道两侧就有了4排树木,出现绿树掩映的散步大道景观;四、给大道重置&家当&,包括重新安装路灯、长椅、公共汽车候车亭、海报柱、报亭等。

In short, heavy knife is the key to victory, a re-injury caused by the knife,knife only four light up the back.

总而言之,重刀是取胜的关键,一个重刀造成的伤害,需要四个轻刀才补的回来。

Under the condition [0mmol/L,raise in vermiculite] of phosphorus stress, variation in root morphology and biomass among different soybean genotypes at seedling stage were studied, the result shows: At two-leaf age, higher P-efficiency genotypes(K1 and K2) don't develop their potential advantages; at four-leaf age, some characteristics of K1 and K2, such as lateral root number, lateral root length, root absorbent area and dry weight of shoot are all less reduced than those of intermediate P-efficiency genotypes(Z1 and Z2) and of lower P-efficiency genotypes(M1 and M2), and dry weight of root and R/S of higher P-efficiency genotypes are more increased than those of the others.

在磷胁迫[0mmol/L,砂培]条件下,对不同基因型大豆苗期在根系形态、生物量等方面的差异进行了研究,结果表明:磷高效基因型在两叶期并未发挥出其基因型潜力的优势;四叶期,磷高效基因型的侧根数、侧根长、根系吸收面积、茎叶干重等性状的受抑制程度均显著低于磷中、低效基因型,而地下干重、根冠比却受到了较中、低效基因型更强的诱导作用。

There is an investment postscript in our textile saga. Some investors weight book value heavily in their stock-buying decisions (as I, in my early years, did myself). And some economists and academicians believe replacement values are of considerable importance in calculating an appropriate price level for the stock market as a whole. Those of both persuasions would have received an education at the auction we held in early 1986 to dispose of our textile machinery. The equipment sold (including some disposed of in the few months prior to the auction) took up about 750,000 square feet of factory space in New Bedford and was eminently usable. It originally cost us about $13 million, including $2 million spent in 1980-84, and had a current book value of $866,000. Though no sane management would have made the investment, the equipment could have been replaced new for perhaps $30-$50 million.

有关我们在纺织业投资的&辉煌历史&还有一段后话,有些投资人在买卖股票时把帐面价值看得很重,也有些经济学者相信重置价值在计算一家公司的股价时极为重要,关于这两种说法在经过拍卖纺织机器设备后,让我好好地上了一课,卖掉的设备满满一工厂全为堪用品,原始成本为一仟三百万美金(包括近几年投入的二百万),经过加速摊提折旧后,帐面价值八十六万,虽然没有人会笨到再继续投资,但要买一套全新的设备也要花三、四千万美金。

In this study, two models to fit soil three-variable characteristic surfaces of different soils were proposed based on the Brooks-Corey soil water retention curve model. Advantages, disadvantages and application conditions of the two were illuminated. In addition, soil three-variable surfaces measured for packed soil samples through centrifuging and controlling bulk density using paraffin material were used to verify the proposed models.

本文在Brooks-Corey土壤水分特征曲线模型的基础上,提出了两种描述土壤质量含水量、吸力和容重三变量关系的曲面模型,分析了模型的优缺点和适用条件,并采用离心机石蜡控容重法实测了四种质地填装土壤的三变量特征曲面。

Methods Twenty SD rats were randomly divided into two groups. The left phrenic nerve or accessory nerve was transferred to femoral nerve by the vascularized ulnar nerve bridging in Group A and Group B, whereas the right femoral nerve remained the disjunction. The electromyogram and wet weight, throughput and section area of myelinated nerve fibers, and section area of muscle fibers in quadriceps femoris muscle were determined after 24 weeks.

大鼠20只,随机分为A、B两组,每组10只。A组:左侧行膈神经桥接带血管蒂的尺神经转位修复股神经手术,右侧切断神经不吻合,作空白处理。B组:左侧行副神经桥接带血管蒂的尺神经转位修复股神经手术,右侧切断神经不吻合。A、B两组于24周后观察股四头肌电生理、有髓神经纤维通过率及截面积、股四头肌湿重比、肌纤维截面积比等指标。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。