| 1. | A special critical parameter method was used to derive the approximate expression of the second upto sixth virial coefficient at critical temperature
3采用一种特殊的临界参数法导出了第二至第六维里系数在临界温度下的近似表达式。 |
| 2. | First , the formula for average intensity of ocean reverberation is deduced on the basis of ray theon " for monostatic case , then it is proved by computer simulation and experiment data
本文首先从分层介质的射线理论出发导出倾斜海底收发合置浅海近程海洋混响平均强度的近似表达式，并对其进行数值分析与实验验证。 |
| 3. | Lastly , we apply the formulae about the quality of ilopf bifurcation we have obtained to a concrete example , calculating the stability of periodic solution , the direction of hopf bifurcation and the expression of bifurcated periodic solution
最后，我们将已经得到的判断hopf分支性质的计算公式应用到一个具体的例子上，求出这个方程的hopf分支周期解的稳定性，分支方向及分支周期解的近似表达式。 |
| 4. | On the basis of sga , the validity of improved gaussian approximation ( iga ) method is established in our systems and the accuracy of the bit error rate expression obtained via siga is demonstrated with monte - carlo simulations
在此基础上证明改进型高斯近似法( improvedgassianapproximation ,简称iga )在本文所述系统中的适用性,并利用其简化算法( simplifiediga ,简称siga )得到简洁的误码率近似表达式。 |
| 5. | We introduce liapunov - schmidt reduction method to investigate the bifurcation of a class of nonlinear reaction - diffusion equations in developmental biology . near the bifurcation point we obtain nontrivial solutions branch emitted from the trivial solution
首先，我们引入liapunov - schmidt约化方法，应用到该方程得到该非线性微分方程在分歧点附近分歧方程的解析近似表达式及其非平凡解的渐进表达式。 |
| 6. | The differential probability and linear probability is defined and the approximation expression to compute the maximum differential and linear probability of while spn ' s from the single round ' s differential and linear probability is presented
对于目前最常用的差分分析和线性分析方法我们首先给出了差分概率和线性概率的定义，同时也给出了由单轮的差分概率和线性概率计算整个spn网络的最大差分概率和线性概率的近似表达式。 |
| 7. | First of all , the method of fredholm alternative is used to obtain the approximate solution of the first order for the bifurcating periodic solutions of a nonlinear system with delayed velocity feedback . the bifurcation direction and the stability of the bifurcating periodic solution are also determined
首先，用fredholm择一方法分析了一具有时滞速度反馈的非线性振动系统的hopf分叉，得到了局部分叉周期解的近似表达式，确定了分叉解的分叉方向及稳定性。 |
| 8. | The improvements in the iaga contained adding strengthen operator , improving evaluation index of premature , etc . multi - phase homing project , making use of the flight properties of parafoil system in gliding and turning , was simple in control and facile in practice . based on frenet frame , the linear time - variable error equations of parafoil system were built
基于frenet坐标系推导和建立了翼伞系统线性时不变的误差方程,并运用“投影点”的思想来获得frenet坐标系下偏差量的解析近似表达式,从而设计了用于翼伞系统航迹跟踪的传统pd控制器和增益调节型模糊pd控制器。 |
| 9. | By using the solution developed and the frequency - dependent stiffness coefficient and damp coefficient , the dynamic behavior , especially the one concerned with the variation of the dimensionless maximum response along the depth , for the pile with finite length or with infinite length was studied . it was shown that to simplify computation a pile of finite length can be taken as the one of infinite length if the ratio of pile length to its diameter ( i . e . lid ) is greater than 15
利用所得解，采用与频率相关的刚度系数和阻尼系数的近似表达式，对有限长桩和无限长桩的动力特性特别是对最大无量纲响应沿深度的变化曲线进行了参数研究，表明在常见桩土参数下，当长径比大于15时，可将有限长桩视为无限长桩以简化计算。 |
| 10. | A chirp scaling algorithm for airborne bistatic sar is proposed , which is suitable for the flight configuration that transmitter and receiver follow parallel path with equal velocity in broadside looking mode . airborne bistatic sar echoed signal model of this particular flightpaths is derived . the model is converted into the range doppler space and is mapped from double range variables to single range variable domain
本文建立了这种特殊飞行模式下双基地sar的回波信号模型,推导了它在距离多普勒域的表达式,解决了信号模型从双距离变量域向单距离变量域转化的问题,并推导了cs因子的线性近似表达式,分析了算法中各种近似造成的误差。 |
