双曲线

A neuron in the network produces its output by processing the net input through an activation jfunction f, such as the tangent hyperbolic function chosen in this study as below

在网络里的神经元产生它的生产透过透过活动j处理网输入功能f，例如切线在这研究内选择如下的双曲线功能

The energy spectral problem is described by the Walker equation that changes its type from hyperbolic in the ferrite to elliptic in the dielectric.

这个能量光谱问题可被Walker equation所描述，其中方程式由双曲线型在铁氧磁体改变到椭圆型在绝缘体。

The results indicate that its dynamic stress-strain curve is hyperbolic type. The dynamic strain of LCES decreases with increasing confining pressure, cement content, curing ages and cyclic loading frequency when it is subjected to the same dynamic stress. At the same dynamic strain, the dynamic secant elastic modulus E_(sec of LCES increases and the damping ratio decreases with increasing confining pressure, cement content, curing ages and cyclic loading frequency. The curves ofσ_d～ε_d,E_～ε_d and D～ε_d with different EPS content intersect respectively, the trend of LCES deformation characteristic is inversely proportional to EPS content near the intersection. The value of dynamic strain at the intersection is about 0.5%~3.0%, the magnitude of which is related to the mixing proportions and confining pressure.

试验结果表明，LCES的动应力应变骨干曲线形态符合双曲线；在相同的动应力作用下，LCES产生的动应变随着固结压力、水泥掺量、试样养护龄期和振动频率的增大而减小；在动应变相同的情况下，随着固结压力、水泥掺量、试样养护龄期和振动频率的增大，LCES的动模量增大而阻尼比减小；随着加载次数的增大，LCES的动模量在开始阶段显著降低，然后趋于稳定，但当加载次数达到几百次时，动模量又有增大的趋势；不同EPS掺入比的LCES的动应力应变骨干曲线、动模量随应变变化曲线和阻尼比随应变变化曲线都发生了相交，交点前后EPS掺入比的大小对LCES动力变形特性的影响趋势是截然相反的，交点处的动应变值一般在0.5％～3.0％范围内变化，其大小与LCES的配比以及固结压力有关。

Kinetics of methanol dehydration to dimethyl ether on modified kaolin catalyst was studied in an integral reactor under normal pressure. It is deduced that the surface reaction of methanol molecule adsorbed on the active site of catalyst with methanol molecule in gas phase is the rate determining step. The hyperbolic type kinetic equation r=ksbMpM2/(1+bMpM+bpE) is obtained according to the theory of langmuir even adsorption and using the R-E mechanism.

采用积分反应器，考察了常压下在改性高岭土催化剂上甲醇脱水生成二甲醚的反应动力学，根据Langmuir均匀吸附理论，采用R-E机理，推断吸附的甲醇分子与气相主体中的甲醇分子发生的表面反应为速率控制步骤，得到双曲线型动力学方程为： r= ksbMpM2 /(1+bMpM+bpE)（r为反应速率， ks为反应速率常数， bM为甲醇的吸附平衡常数， b为二甲醚和水的吸附平衡常数之和， pM、 pE分别为甲醇、二甲醚的分压）。

However, this is hyperbolic.

不过，这是双曲线。

Thereby, it generalizes portfolio frontier curve from hyperbola to hyperboloid of two sheets. When there exists risk securities, it generalizes frontier from straight line to cone. Meanwhile it gives some corresponding conclusions.

从而把原模型中没有无风险证券时的前沿证券曲线从双曲线推广到双叶双曲面，把有无风险证券时的前沿证券曲线从直线推广到圆锥面，同时还得到了一系列相应结论。

Thus, modeling by 5 empirical equations showed that using hyperboloid and power function fitting the relationships are quite good.

鉴于此，选取5个经验方程进行建模，结果显示，对于胸径和CI、RCI、RC1、RC2间的关系用双曲线和幂函数方程拟合较为适宜。

The static correction study because of the hypsography, the surface low, falls the speed belt lateral change to the earthquake wave transmission influence, and carries on the correction to it, causes the reflected wave distance curve approximately is a smooth hyperbolic curve.

静校正就是研究由于地形起伏，地表低、降速带横向变化对地震波传播的影响，并对其进行校正，使反射波时距曲线近似为一条光滑的双曲线。

The minimum curvature circles of parabola, ellipse and hyperbola all are their inscribed circle, their equations are^2+y^2=p^2、 and respectively.

抛物线、椭圆和双曲线的最小曲率圆都是它们的内切圆，其方程分别为^2+y^2=p^2、。

Function graphing and analyzing: 2D, 2.5D functiongraphs and animations, extrema, root, tangent, limit,derivative, integral, inverse; sequence of number: arithmetic progression, geometric progression; analytic geometry: vector, line, circle, ellipse,hyperbola and parabola; solid geometry: spatial line, prism, pyramid, cylinder, cone, dado and sphere; Ability to save graph as data file or bmp file; Ability to save animation as AVI file; Ability to move, zoom in, zoom out and rotate the scene.

函数图表和分析：2D， 2.5D 函数图表和动画，极值，根，正切，极限，导数；序列号：等差数列，等比级数；解析几何：向量，矢量，直线，圆，椭圆，双曲线和抛物线；立体几何：空间线，棱柱，三角锥，圆柱，圆锥体，梯形台和球体；保存图形为数据文件或者图像文件的功能；保存动画为 AVI 文件的功能；移动，缩小，放大和旋转场景的功能。

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。