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We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ:D→D的几何性质、分析性质和解析性质与复合算子C〓:f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系,涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征,推广了前人的一系列结果,如Shapiro关于C〓的紧性的Nevanlinna计数函数条件,MacCluer关于C〓的紧性的Carleson测度条件等。

Based on detailed mathematical model of the heat and mass transfer processes in packed-type counterflow liquid desiccant systems, a set of linear ordinary differential equations describing the transfer processes is obtained by some appropriate simplications.

在建立逆流填料式液体除湿系统传热传质过程的数学模型基础上,通过合理的简化处理,导出了描述这一热质传递过程的常微分方程组,得到了相应的解析解;并与精确数学模型的数值解进行了对比,二者具有良好的吻合性;利用解析解分析了各参数对除湿性能的影响;所得解析解具有较好的理论及应用价

This paper discusses such problems which are easily solved incorrectly in limitedteaching as, segment function is uncertain not to be elementary function, elementary function is un-certain to be continuous in its field of definition, unlimited variable is uncertain to be infinity, theinfinitely many infinitesimal is uncertain to be infinitesimal, the multiplication of two non- infinitesi-mal is uncertain not to be infinitesimal.

1分段函数不一定不是初等函数我们知道初等函数的定义是:常数和基本初等函数经过有限次的四则运算或复合,用一个解析式表示的函数叫初等函数。教材中的定义强调的"有限次"和"一个解析式",使很多同学产生"非有限次"和"非一个解析式"的函数就不是初等函数的误解。例1f=ceox,s xx!0为分段函数,但也可以表示为f=e12(x-x2")+cos12(x+x2#"$)-1,故为初等函数。

The solutions were found to be good agrees with experimental results. The transfer characteristic of air dry/wet bulb temperature and spraying water temperature were discussed. The LMTD method based on this mathematical model is applicable to design and verify for the plate wet air cooler. The ratio of the wet bulb heat transfer coefficient to the heat transfer coefficient under air-cooled conditions was investigated theoretically and experimentally. The relative errors of the ratio between theoretical and experimental valves are small than 7 percent.

分别得到了平行流型式微分方程组的解析解与交叉流型式的近似解析解,实验验证了该解析解具有较高的计算精度;探讨了空气干湿球温度与喷淋水温的迁移特性;分析得到基于湿球温度迁移模型的对数平均温差法在湿式空冷器的设计与校核计算中是适用的,给出了空气湿球换热系数与空冷时空气对流换热系数比值的理论与实验确定方法,比值系数理论值与实验值比较最大相对误差小于7%。

A 156cm–1 red-shift is gained theoretically to demonstrate the presence of non-neglectable weak H-bonds and result in the discovery of the rarely reported trimeric H-bond, which consists of three independent hydroxyl donors and only one Cl– acceptor, in the field of crystal materials. We explained the relative weakness of this kind of hydrogen bond which may have a critical effect on the lattice symmetry and magnetic structure.

本研究据信为首次报道其振动光谱测量、解析结果,通过缜密解析意外发现了很少有人报道的三聚氢键的存在,为进一步理解其量子磁学特性提供的一条线索,同时也为验证难做的中子散射实验解析出来的晶体结构提供了很好的帮助。

The third is original labor market unclearing theory which was represented by Marx's relative surplus population theory.

这些理论以劳动市场出清论为基础,是对劳动市场出清论的一种延伸,它们或者能解析短期的总量性失业,或者能解析长期的结构性失业,但不能解析在劳动市场不存在障碍条件下的长期的总量性失业。

Even though the DNS message sent by the attacker is falsified, the DNS resolver accepts the query response because the transaction ID and source port value match up with the query the resolver sent, resulting in the DNS resolvers cache being poisoned.

即使在DNS发出的信息是虚假的攻击, DNS解析器接受查询响应,因为交易ID和源端口的价值相匹配的查询解析器发出,造成的DNS解析器缓存中毒。

Even though the DNS message sent by the attacker is falsified, the DNS resolver accepts the query response because the UDP source port value and the DNS transaction ID match up with the query the resolver sent, resulting in the DNS resolvers cached being poisoned.

即使在DNS发出的信息是虚假的攻击, DNS解析器接受查询响应,因为价值的UDP源端口和编号的DNS交易相匹配的查询解析器发出,造成的DNS解析器缓存中毒。

An explicit analytical solution of the threshold pump power of the laser has been derived based on rate equations which contain the attenuation coefficients of the pump and laser radiations as well as the major contribution of the re-emission of the upper level atoms to the pump wave by using the analytical solutions. An analytical solution of the minimum fiber length required for the onset of the oscillation is presented. In addition, the analytical solutions describing the variations of the density of the pump radiation and upper laser level population along the fiber length have also been given.

从速率方程组出发,在不忽略光纤损耗系数和保留再发射项主导部分的近似条件下推导出了双包层光纤激光器阈值泵浦功率的显函数解析表达式,得到了光纤激光器产生振荡所需的最小光纤长度的显函数解析解;还给出了泵浦光子数密度和上能级粒子数密度沿光纤方向随光纤长度变化的显函数解析解。

The transmission of heat differential equation for the heat conduction process of thermoelectric module was derived And the solution with the first kind boundary conditions under the influence of Thomson effect and the solution with the third kind boundary conditions without the influence of Thomson effect was obtained.

导出了电偶臂在电与热的偶合作用下传热微分方程,并对其进行解析求解:在考虑汤姆逊效应的影响下得出一类跟三类边界条件下传热方程的解析解,在忽略汤姆逊效应的影响下得出二类跟三类相的边界条件下传热方程的解析解。

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推荐网络例句

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸,那乌黑、忧郁的眼睛,她便会相信,他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失

But because of its youthful corporate culture—most people are hustled out of the door in their mid-40s—it had no one to send.

但是因为该公司年轻的企业文化——大多数员工在40来岁的时候都被请出公司——一时间没有好的人选。