双曲线

He believes the form he is holding is a hyperbolic paraboloid, a shape well known to mathematicians - or something very close to that - but he wants to be able to prove this conjecture.

他相信他手中的摺纸形式是一种数学家所熟知的双曲线抛物面，或是某种非常接近的形式，於是他想要验证此推测。

This can be a least-squares plane or a plane passing through the center of gravity of the corners and is parallel to the mid-rulings of the hyperbolic paraboloid determined by the corners.

这可以是一个最小平方平面或者是一个通过拐角的重心并且平行于由拐点决定的双曲线抛物面的半轴的平面。

Based on the priori knowledge of a point scattering - hyperbolic feature of subsurface objects in GPR B-Scan images, a method of ROI extraction with Neural Network is presented.

在分析了均匀介质中的目标回波特征一双曲线形态的产生机理和基本特征的基础上，提出了一种利用神经网络进行ROI提取的方案，根据GPR数据解译的特点，本文设计了相应的B-Scan图像预处理方法和神经网络结构、训练及测试方法，使用塑料管及其他目标的B-Scan实测数据对神经网络进行训练与测试。

The light curve of five kinds of landscape lianas commonly used in southern China were measured by LI-6400 portable photosynthesis system and fitted by non-rectangular hyperbolic model. Light compensation point, light saturation point, Pn,ɑ of the 5 lianas species were analyzed comparatively. The results indicated that there are significant differences in light response of photosynthesis among them.

采用Li-6400便携式光合测定仪对5种华南地区常用园林绿化藤本植物进行了光响应曲线的测定，并用非直角双曲线模型对其进行拟合，对比分析了5种藤本植物的光补偿点、光饱和点、最大净光合速率、最大表观量子效率。

Inverse hyperbolic sine -- in radians !!!

反双曲线正弦--以弧度为单位！！！

An accurate and simple computational method was developed to determine the apparent activation energy and material parameters of the hyperbolic sine constitutive equation based on one parameter nonlinear least squares regression.

基于单参数非线性最小平方法，提出了一种优化求解双曲线本构方程中表观激活能和其他材料常数的方法。

Heat resistant steel T122; hot deformation ; hyperbolic sine constitutive equation ; critical strain

T122耐热钢；热变形；双曲线本构方程；临界应变量

Keywords hyperbolic sine equation;flow stress;activation energy;non-linear least squares

双曲线方程；流变应力；激活能；非线性最小平方

The material parameters in the hyperbolic sine constitutive equation were determined with regression analysis, and the DRX activation energy was thus obtained to be 269 kJ/mol. The relationship between critical strain, peak strain/stress and the dimensionless parameter Z/A were established by linear regression.

采用回归法确定了双曲线本构方程中的材料常数和动态再结晶激活能(269kJ/mol)，并建立了临界应变、峰值应变和峰值应力与无量纲参数Z/A之间的关系。

A method was developed to determine the activation energy and material parameters in the hyperbolic sine constitutive equation.The activation energies determined are 570 kJ／mol and 548 kJ／mol for steel T122 in saturation stress and peak stress,respectively.The values of critical strain for dynamic recrystalli...

采用应变硬化速率—应力曲线图较精确地获得了饱和流变应力和峰值应力；用回归法确定了双曲线本构方程中的变形激活能及材料常数，确定了T122钢在饱和应力和峰值应力条件下的变形激活能分别为570和548 kJ／mol；采用力学方法直接从流变曲线确定了T122钢发生动态再结晶的临界应变量，并回归出临界应变量与Zener—Hollomon参数的关系式。

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。