参数方程

Parameter τ＇(ratio of lag time of diffusion process to relaxation time of polymer) can define the form of the differential equation: hyperbolic or parabolic.

参数τ＇（扩散的瞬态过程引起的滞后时间与松弛时间之比）的存在与否决定了方程是双曲型还是抛物型。

The shear moduli in two directions were assumed to vary in terms with hyperbolic function .

假设剪切模量沿着梯度方向都按双曲函数变化，采用积分变换-对偶积分方程方法，求得了裂纹尖端应力场和应力强度因子，并研究了材料不均匀参数对应力强度因子的影响。

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。

The flow stress increases with increasing the strain rate, and decreases with increasing the deforming temperature, which can be described by a constitutive equation in hyperbolic sine function with the hot deformation activation energy of 209.84 kJ/mol, and can also be described by a Zener-Hollomon parameter.

该合金热压缩变形的流变应力行为可用双曲正弦形式的本构方程来描述，也可用Zener-Hollomon参数来描述，其变形激活能为209.84 kJ/mol。

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。

A compact representation of the domain parameters of HCC is presented, and the equation of hyperelliptic curves over finite field is shortened.

给出了超椭圆曲线密码体制的基本参数的一个紧致表示，对有限域上超椭圆曲线的方程给出了一个更简短的表达形式。

By analyzing beam elements characteristics running on idler and pulley, adding belt viscous-elastic behavior and resistance behavior, and combining take-up model and reasonable boundary, it obtained belt dynamical equations in two-dimension model.

通过分析梁单元在托辊及滚筒上的运动特性，结合输送带的粘弹特性、运行阻力特性等参数的影响，再结合拉紧装置的振动特点及合理的单元边界条件，得到了输送带二维数学模型的动力学方程。

In this project, we intend to combine the above mathematical ideas. First, we consider a wild family of dynamical systems which can be derived into a family of difference equations. Then using a generalized version of the implicit function theorem which we will establish, we want to show that for any dynamical systems near 「singular limit」, there exists a horseshoe structure and hence chaotic phenomena occur.

在此研究计画中，我们打算结合上述的数学结论与想法，进一步考虑一类能够转化成差分方程的动态系统函数族，使用即将建立的推广性隐函数定理，我们希望证明当参数接近奇异极限时，动态函数会具有马蹄结构所以有混沌现象。

A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods.

本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。

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。