查询词典 prime factor

We show that Jordan multiplicative bijective maps on prime operator algebrasmust be additive. As its application, we show that every Jordan * multiplicative bijec-tive map on every factor C~* algebra is a C~* isomorphism or a conjugate C~* isomorphism,in the special case of B, it must be a *-isomorphism or a conjugate *-isomorphism.We also prove the additivity of Jordan multiplicative bijective maps on nest algebras.

证明了素算子代数上Jordan可乘双射的可加性，利用这一结论刻画了因子C~*代数上的Jordan*可乘双射，我们的结果表明这样的映射一定是C~*同构或共轭C~*同构；证明了套代数上的Jordan可乘双射的可加性。

The conclusions were as follows: theνO-H andνC=O IR absorption maxima shifted towards higher wave numbers after imprinting 17β-estradiol on TFMAA-co-TRIM copolymer with the red shift of theνO-H groups being apparent after precipitation polymerization for 16h while that forνC=O groups being observed after polymerization for 24h. A strong interaction between TFMAA and 17β-estradiol was confirmed by the high selectivity for 17β-estradiol, as indicted by the values of the separation factor of isomers of 17β-estradiol/17α-estradiol (2.28) and the imprinted factor (3.01). Particle diameter of TFMAA-co-TRIM polymer was between 300 nm and 1.5μm, which suited well for solid phase sorbent throughout at low column pressure. The recognition of imprinting TFMAA-co-TRIM polymer for sterol molecules was driven by enthalpy eluted with acetronitile, and low temperature was in favor of the separation of sterol structure analogues on imprinting column. TFMAA-co-TRIM polymer possessed of determinate anti-heat stability, with melting point beginning at 255.84℃, Tp=257.40℃, control TFMAA-co-TRIM polymer and imprinting TFMAA-co-TRIM polymer were respectively decompounded at 267.79℃and 343.11℃, and solid micro-extraction noddle prepared by the special polymerization also showed definite recognition for 17β-estradiol by GC/MS detecting at 270℃. By selection of various washing and elution solvents, elution reagents of close polymerization system were of more advantage in template molecules retention and recognition on molecularly imprinted solid phase extraction column. At a certain extent, progesterone, 17α-estradiol, 17β-estradiol and 4-androstene-3, 17-dione could be intercepted on the MISPE column. Especially, MISPE had high selectivity for progesterone, and imprinting TFMAA-co-TRIM polymer could achieve adsorption balance within 50 min by absorption kinetics test for 17β-estradiol. However, MISPE column showed better selectivity and enrichment property for 17β-estradiol than C18 and CSPE columns according to the data from HPLC and GC/MS analyses. Recovery of 17β-estradiol on MISPE column was up to 85.5% while when prime extracting solution of milk powder was sampled, the recovery of CSPE and C18 columns were 43.7% and 30.7%, respectively.

通过研究阐明：紫外聚合产物TFMAA-co-TRIM中的νO-H振动吸收峰在聚合16h后红移，νC=O振动吸收峰在聚合24h后红移；TFMAA-co-TRIM对雌二醇异构体的印迹因子达到了3.01，α为2.28，优于其它功能单体参与得到的聚合物识别特性；TFMAA-co-TRIM聚合物粒径介于300 nm至1.5μm之间，作为色谱固定相具有良好的通量和低的柱压；在乙腈流动相中，TFMAA-co-TRIM分子印迹固定相的分离过程主要被焓驱动，低温有利于分子印迹固定相分离甾醇结构类似物；TFMAA-co-TRIM分子印迹聚合物在255.84℃时开始熔融，Tp=257.40℃，聚合物CP的降解温度在267.79℃，MIP降解温度在343.11℃，制备的固相微萃取头初步经GC/MS 270℃的耐热性测定；不同的洗提溶剂筛选证明了选择接近聚合溶剂的洗脱体系更有利于MISPE发挥识别效应；分子印迹固相萃取柱对孕酮、17α-雌二醇、17β-雌二醇和雄烯二酮都具有不同程度的保留特性，可作为此类化合物的吸附材料，特别对孕酮强保留的富集特性，可作为孕酮的选择性识别吸附剂，其分子印迹聚合物对17β-雌二醇的吸附动力学测定显示在50 min内基本达到吸附平衡，具有作为传感器核心敏感材料的潜力；对比萃取奶粉中17β-雌二醇性能，MISPE柱比非分子印迹固相萃取柱和C18柱具有更高的保留，回收率依次为85.5%，43.7%和30.7%。

We can infer that contrived factor is distinct contribution from the four extracted prime components. The contributing rate in the first prime component is 54.4%.

从提取出的四个主成分看出，人为作用对荒漠化有显著的贡献，第一主成分中变量的贡献率是54.4％。

The aggrandizement of structure of urban and rural and binary economy is to cause consumptive demand inadequacy, restrict the prime factor that economy grows then.

城乡二元经济结构的强化是造成消费需求不足，进而制约经济增长的根本因素。

Much of the investor buying interest in lead, which had previously been a prime factor in its spiralling value, has disappeared over recent months.

大多数投资者买入铅的兴趣在最近几个月内都消失了，而投资者买入铅的兴趣是推动此前铅价螺旋上涨的主要因素。

The result shows the difference of economic growth mode to be the prime factor which causes the fluctuation of carbon emission, especially, the "high input, high emission and low efficiency" economic growth since 2000, resulting in the rapid growth of the carbon emission.

研究表明，我国经济增长方式的差异是碳排放周期波动的重要原因，特别是其中2000年以来"高投入、高排放、低效率"的经济增长方式直接导致了碳排放的显著增加。

Their first assignment is to prime factor the first one hundred numbers. I walk around the room and correct the papers while they are doing the problems at their seats.

第一个作业为找出1至100的质因数，当他们在座位上作题目时，我在教室内到处走动，改他们的练习。

By using Chinese Remainder Theorem of input/output series, the internal connection between the structure of prime factor algorithm and Cooley-Tukey algorithms is revealed.

借助于输入输出序列的中国余数定理映射，本文揭示了素因子算法结构和Cooley-Tukey算法结构的内在联系。

According to the analysis of relations between optical power,center wavelength,sensing fiber Verdet constant,and Fiber Optic Current Transformerscale factor,it was demonstrated that the center wavelength excursion generated by power attenuation of SLD was the prime reason of FOCT scale factor error.

通过分析光源功率、中心波长、传感光纤Verdet常量，以及闭环光纤电流互感器变比之间的关系，结合测试数据，证明了中心波长漂移是光源功率衰减引起闭环互感器变比变化的主要原因。

Anyone connected to the vended laundry business knows that while quality equipment is a must, location, and location alone, is the prime factor in success.

在谈到新投资者需要考虑的三个最重要的因素时，威尔逊说：位置，位置，位置。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。