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The simulation, evaluation and optimization of an unli near multicircuit pipeline system can be realized by solving an unlinear equati on set whose scale grows exponentially with the scale of the network.

通过对一组规模随网络环路规模呈指数增长的非线性方程组的求解，实现对非线性多环管路网络系统的仿真、评估和优化。

We find that the specific magnetization σof the composites decreases exponentially with the increase of concentration of SiO2 particles, and the effective permeability μ of the composites can be agreement with the effective media theory improved by Musal.

通过对颗粒复合体比磁化强度、磁导率、磁谱以及77K下I~U特性的测量和分析，我们发现复合体比磁化强度随SiO2含量的增多呈指数衰减；用Musal改进的有效介质理论模型能很好地拟合磁导率随锰锌铁氧体含量变化的规律；颗粒复合体显示出共振型磁谱的特征。

Meanwhile,the rate of accumulation of broadband digital seismologic observation data is increasing exponentially,meaning that the research on high resolution seismic imaging of earthquake source rupture process and internal structure of the earth will be an important development trend of seismology in the 21st century.

与此同时，宽频带数字地震观测资料的积累速率按指数增长，这意味着震源破裂过程及地球内部结构的高分辨率地震成像研究将成为21世纪地震学发展的重要趋势。

The ratio of intensities of Amide Ⅰ and Amide Ⅱ is reduced exponentially with the time of exchange which shows that the hydrogens sterically located differently have different exchange rate.

应用红外吸收光谱研究不同含水量的溶菌酶膜的H-D交换动力学，以期阐明水合对溶菌酶分子活动性的影响。

Results of pulling test reveal that the nominal strength ratio of corroded hot-rolled steel bar over uncorroded one is approximately equal to the ratio of maximum residual sectional area over the uncorroded one.And the rupture extension ratio of corroded hot-rolled steel bar is exponentially decreased with the maximum sectional loss ratio.The effect of stress concentration caused by corrosion pits has a significant influence on the decrease of rupture extension ratio but it is ignorable on the nominal strength ratio.

实验结果表明：锈蚀钢筋与未锈钢筋的名义强度比可近似取锈后钢筋的最大残余面积率，受锈坑应力集中的影响甚微；锈蚀钢筋的断后延伸率随最大截面损失率呈指数下降，受锈坑应力集中的影响显著。

For a target of any thinkness, the undeflected flux diminishes exponentially with thickness.

对具有任意厚度的靶，无偏折的通量随厚度扫指数规律而衰减。

For a target of any thinkness, the undeflected flux diminishes exponentially with thickness

对具有任意厚度的靶，无偏折的通量随厚度呈指数规律而衰减。

In recent years, so-called express kidnapping in which a gang abducts victims for several hours or days and milks their credit and debit cards or demands a ransom as low as a few hundred dollars has grown exponentially.

近几年来，所谓的&特快绑架&案呈指数级增长。此类案件中，犯罪团伙将受害人绑架几个小时或几天，期间勒索受害人的信用卡和借记卡资金，或者要求低至几百美元的赎金。

The results showed that the softening point of the asphalts rised linearly as the blowing time last, but the penetration decreased with the increase of softening point exponentially.

结果表明，在氧化过程中，氧化产物的软化点随着氧化时间的延长线性升高，针入度随着软化点的升高呈指数规律下降。

Besides, we also prove that the local error decays exponentially as the sampling density increases.

此外还证明了局部误差随着采样密度的增加而成指数衰减。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。