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The results show that relationship between flow stress and strain rate is applied to hyperbolic sine equation in the hot compressive deformation of 6061 aluminum alloy; at the same time, relationship between logarithmic hyperbolic sine of its flow stre...

研究表明，6061铝合金热压缩塑性变形时的流变应力和应变速率之间的关系满足双曲正弦函数关系式；其热压缩塑性变形时流变应力的双曲正弦对数项与绝对温度倒数之间满足线性关系，其高温压缩变形受热激活能的控制。

The results indicate that the flow stress of the alloy increases with increasing strain rate and decreasing deformation temperature. The flow stress increases with increasing strain until the stress reaches the peak value, then the flow stress remains constant, which indicates that dynamic recrystallization happens during deformation. The flow behaviors are described by the hyperbolic sine constitutive equation, and the activation energy calculated is 337.75 kJ/mol. The as-forged microstructure consists of refined α2/γ and γ grains, and the grains are much homogeneous than before. The B2 phase distributes uniformly at the grain boundary of α2/γ and γ grains. The B2 phase decreases with increasing deformation temperature.

结果表明：流变应力随着应变速率提高和变形温度降低而增大；在变形过程中，流变应力随着变形量增大而增大，当流变应力达到峰值后趋于平稳，表明合金在变形过程中发生了动态再结晶；热变形过程的流变应力可采用双曲正弦本构关系来描述，平均激活能为337.75 kJ/mol；从合金的组织演化过程中可以看出，合金中不均匀的原始组织得到明显均匀化，变形后的组织是由α2/γ层片晶团和γ晶粒组成的双态组织，在α2/γ层片晶团和γ晶粒的晶界交界处发现分布均匀的B2相，并且随着变形温度升高B2相数量逐渐减少。

In Chapter 2,we extend a boundary map with singular points to a harmonic mapbetween real Hyperbolic space and complex Hyperbolic space.

在第二章中我们将带有奇异点的边界映射延拓为从实双曲空间到复双曲空间的调和映射。

In thisthesis, we first extend the vanishing theorem due to Lawson, Simons and Xinto the case of compact submanifolds of a hyperbolic space. Thus, by using thenew vanishing theorem for homology groups, we prove the topological spheretheorem for complete submanifolds in a hyperbolic space. Hence we generalizethe Shiohama-Xu topological sphere theorem.

本文进一步将Lawson-Simons-Xin同调群消没定理拓广到双曲空间中紧致子流形的情形，并运用这一新的同调群消没定理证明了双曲空间中完备子流形的拓扑球面定理，从而推广了Shiohama-Xu的拓扑球面定理。

For fuzzy hyperbolic model, three stable controllers are proposed based on robust stability theory, optimal control theory, H-infinite theory and nonlinear system theory. Finally a fuzzy Lyapunov analysis method is put forward to analyze the stability of fuzzy hyperbolic system.

针对模糊双曲正切模型，根据鲁棒稳定性理论、最优控制理论、H无穷控制理论和非线性系统理论设计了三种稳定的控制器，并提出一种模糊Lyapunov分析方法使用语言信息分析模糊双曲正切系统的稳定性。

These models include logarithmic function, exponential function, hyperbolic function and system scientific models such as grey model, BP neural network, time series, kalman filter and so on. And ground settlement due to two box culvert pushing is simulated by Peck experiential formula.

3介绍了地下工程中常用的数据分析建模方法并给出应用实例，包括概率统计模型中的对数函数、指数函数、双曲函数，系统科学中的灰色系统、BP神经网络、时间序列、Kalman滤波等，利用Peck公式对双孔箱涵错距顶进引起的地表沉降进行了模拟。

This invented simplified algorithm is to use sectional linear judgement method or looking-up table method to replace the hyperbolic tangent judgement. The substance is to use sectional linear judgement function L or judgement function T of looking-up table to approach the hyperbolic tangent function tanb.

为了解决这个问题，本发明的双层加权并行干扰对消算法的简化算法用分段线性判决方法或者查表法来代替双曲正切判决，其实质就是用分段线性判决函数L或者查表法的判决函数T逼近双曲正切函数tanh。

Consisted of single, double vascular bundle, transition types between them, but given priority to double vascular bundle; the epidermal cell consisted of cutin layer; the hypodermis consisted of typical two-layer of parenchyma cells arranged continuously or discontinuously.

云南松针叶的维管束以双维管束为主，同时亦有单维管束以及介于单、双维管束之间的过渡类型；皮下层为典型的二型皮下层；表皮层的角质层明显；树脂道多为典型的外生型。

In the process of moving from single-sustenance to double- sustenance, the angel of body tends to enlarge; in the process of moving from double-sustenance to single-sustenance, the angle of body tends to decrease; when the right leg is kicking on the ice, the center of gravity is just moved to the upper point of fulcrum, which means the center of gravity is vertical to fulcrum, while the left leg starts to kick on the ice when center of gravity completely surpass fulcrum; right knife touches the front ice of the supporting foot, the left knife touches the interior and front ice; small momentum variation coefficient and good effect of momentum move show the rationality of action and abundance of

单支撑阶段向双支撑阶段过渡过程中，躯干角度有增大趋势；右双支撑阶段向单支撑阶段过渡过程中，躯干角度有下降趋势；右腿蹬冰时重心刚好前移至支点的正上方，即重心与支点相垂直，而左腿则是在重心完全超越支点后一段时间才开始的蹬冰；右刀着冰向支撑脚前方下刀，左刀着冰向内侧前方跨出；动量变异系数小，动量转移效果好，反映了动作结构的合理性和能量利用的充分性；目前世界优秀运动员各环节的动量分配比例较以前均有较大幅度的提高；环节动量变异系数遵循着大环节动量变异系数小、小环节动量变异系数大的原则是较合理的。

In order to observe crystal birefringence phenomenon visually,this paper designed and fabricated the visually experimental demonstrating device of crystal birefringence phenomenon by using the scattering process of impurity in non-optically natural Iceland crystal.

为了能够直观地观察到晶体中的双折射现象，利用非光学级的天然晶体冰洲石中杂质对光的散射作用，设计、制做了晶体双折射现象的直观实验演示器。

Shop assistant: Please check at the door.

店员：请您到门口柜台交费。

In the end, transportation of PAHs in the environmental matrix was preliminarily investigated and discussed according to PAHs data of soils and sediments from a certain region in Shanghai. The result indicated that there are two or more pathways on PAHs transportation in the environmental matrix.

最后，对上海特定地区内PAHs在环境介质中的迁移径途进行了分析讨论，结果表明上海市土壤和沉积物等环境介质中PAHs的迁移存在多种途径。