参数方程

Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained.

以时滞量为参数，通过分析对应线性系统特征方程的根的分布，讨论了平凡解的稳定性，得到了平凡解发生Hopf分岔而失稳的临界时滞量以及临界时滞量与系统控制参数的关系。

It uses a uses the MSFlexgrid to enter the augmented matrix but its limit is 253 because I use a Byte variable to define the equations number so if you want to use it for a bigger Linear System you will have to change some variable definitions

它使用一个MSFlexgrid 来输入参数矩阵，参数个数最多是253个，因为我使用一个Byte 变量来定义方程的未知数的个数。所以如果你想在更大的线性系统中使用它，你将必须修改变量的定义。

From the functional relationship between the flooding gas and liquid velocities derived from the two-film theory based on the Bernoulli equation,two parameters which are relative to the packing property were investigated.

根据从双膜理论出发由Bernou lli方程得到的液泛气速与液速之间的函数关系，考察了两个与填料有关的模型参数：一个是由填料比表面积a和床层空隙率ε所组成的填料因子a/3ε，另一个是本文定义的填料结构参数。

In order to get the exact value of the Hopf bifurcation point, we discuss the discrete version of the integro-differential equation, and use the approximation parameter as the initial value of the Newton iteration method.

为了得到Hopf参数的精确值，进一步讨论了延迟积分－微分方程的离散形式，利用Newton迭代法，得到了参数的逼近值。

The bifurcation theory of the plane polynomial vector fields is one important research domain of the theory of ordinary differential equation.

平面多项式向量场的分岔理论是常微分方程定性理论的重要研究领域之一，主要研究依赖于参数的向量场的全局轨线拓扑结构随参数变化的规律。

An iterative estimation procedure is adopted to process the nonlinearity in the collinearity equations and the correlation of the exterior parameters.

为解决共线条件方程的非线性以及外参数之间的相关性问题，采用迭代方式进行参数估计。

A new computational formula to nonlinear adjustment by parameters, in consideration of the second-order terms, is derived in this paper from the precise orthogonality condition equations to nonlinear least squares by analyzing the direct solving process and iterative computing method of the linearized model.

在分析线性化的非线性参数平差的近似直接解法与迭代解法基础上，利用非线性最小二乘的精确正交性条件方程，推导出顾及到二次项的非线性参数平差的一种新的计算公式。

For PDEs with small parameters, a scheme is AP if it possesses the discreteanalogy of the continuous asymptotic limit as the small parameter goes to zero.

对于含有小参数的偏微分方程，所谓一个算法是渐近保持的指的是，当相应的数值离散在小参数趋于零的时候，仍然是渐近极限的合理数值离散。

For improving the quality of Chinese tradition frozen flour food,providing processing informa- tion for frozen flour food industry,standard wheat flour in market was selected as the material,second re- gress correctitude was performed with forceand tractilityas target,two second order quadratic equations for frozen dough sheet processing were built.

以市售标准粉为材料，利用二次回归正交旋转试验设计，分别以冷冻面片质构特性参数破碎力和延展性为响应值建立了冷冻面片制作的二次多项数学模型，验证了模型的有效性，采用响应曲面法(response surface methodology，RSM)考察了交互作用的影响，并根据方程求解出稳定点的水平值，从而确定出冷冻面片制作工艺的优化参数为：和面速度240 r/min，和面时间5 min，和面加水量40%，静置时间30 min，冷冻温度-30℃，冷冻时间5h。

In the dissertation, we consider a parameterized delay differential equation as followswhereλandμare two real parameters.

我们考虑如下参数化的时滞微分方程其中λ和μ为参数。

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。