利用量子力学中的密度矩阵算符理论导出了该系统中三次谐波产生的解析表达式。
An analytic representation for the third-harmonic generation along the well is derived by the density matrix operator theory of the quantum mechanics.
提出了依据宽带随机谱功率密度函数求解等效应力幅的半解析公式。
The semi-analytical solution for evaluating ESR from spectral density function of wide-band random loading is presented.
利用平均场理论求出了发送速率与系统密度的解析关系。
The analytical relationship between the sending rate and density of the system is obtained by applying the mean field theory.
给出了陷阱电荷密度的解析表达式和相关参数的提取方法和结果。
The analytical expression of the density of trapping charges is proposed. The method and the results of parameters extraction are also presented.
此解的中子密度空间分布曲率是随堆功率变化的，因此它比点堆模型方程的解析解精确。
The space curvature of neutron density of this solution is changed according to the changes of reactor power, so it is more precise than the analytic solution of point reactor model.
本文用解析方法研究了有限温度和密度下的手征相变。
An analytical method is used to investigate the chiral symmetry restoring phase transition at finite temperature and density.
针对一种复杂的应变能密度函数形式，在平面位移情况下，对定义在初始构形上的超弹性基本方程进行了直接的解析求解。
The plane displacement of hyperelasticity was discussed. Aimed at a complex strain energy density function, a group of hyperelasticity governing equations defined on initial configuration were solved.
然后由其解析解计算这种无声放电的着火特性和放电电流密度对时间的依赖关系，并与实验结果相比较。
Then, the breakdown characteristics and the de-pendence of discharge current density on time are theoretically calculated in this kind of AC silent discharge.
在结半径比较小的情形给出电流密度分布、磁场强度分布以及临界电流值的近似解析公式。
Approximate analytic solutions of cur-rent and magnetic field distribution and the critical current are obtained when the radius of the junction is very small.
另外，有关稳态密度轮廓变陡的解析计算，也正确地反映了有关实验及计算机模拟的结果。
In addition, the analytic calculations for steady state, steepened density profile are also well consistent with the results obtained by using microwave plasma experiments and numerical simulation.
通过对传统院落住宅的分析、研究和对城市基地的解析，对城市高密度环境下城市院落住宅的设计进行了一次尝试。
With the analysis and research of the traditional yards space and courtyard residence, we designed a project in a high density urban area.
离子密度随高度的解析展开是电离层物理模式参数研究中的一个关键技术。
The altitude semi-analytic expansion of ion densities is a key problem in parameterization of physical ionospheric models.
推导了双栅MOSFET器件在深度方向上薛定谔方程的解析解以求得电子密度和阈电压。
The analytical solutions to 1D Schrdinger equation (in depth direction) in double gate (DG) MOSFETs are derived to calculate electron density and threshold voltage.
以极点密度统计原理为基础，采用三维统计方法，由空间解析几何直接计算统计夹角。
Based on the principle of pole density statistics, and by applying the three-dimensional statistical method, the space analytic geometry is adopted to directly calculate the included Angle.
对于有限温度情形，通过索末菲展开，得到了能量密度、自由能密度以及熵密度的解析公式。
For the case of finite temperature, the analytical energy density, entropy density and free energy density are acquired with help of Sommerfield expansion to the Fermi-Dirac integrals.
从雷达杂波的分布特性出发，分析了杂波的解析模型，阐述了雷达杂波幅度的概率密度分布及其功率谱密度分布。
Based on radar clutter distribution, the radar clutter model is analysed for amplitude probability density distribution and power spectrum density distribution.
理论解析表明，运用交变电磁力在液体金属内生成的磁声波的强度和所施加的静磁场的磁感应强度和交流电流的电流密度的乘积成正比；
The theoretical analysis shows that the intensity of the generated waves is in proportion to the product of the imposed static magnetic field and alternating electrical current.
这些造物主之光就成为带着不同光密度与时间意识单位的广大空间的区域，它包含了无限的物质世界可能性的神圣解析图。
These Creator Rays became great regions of space with different Light densities and time-consciousness cells, which contain infinite Divine schematics of material world possibilities.
通过求解该方程的解析解，给出了赝自旋阀在电流激励下的磁化翻转条件和临界电流密度的表达式。
Conditions of magnetization reversal and the corresponding critical currents were found by solving the dynamic equation analytically.
给出金属板在高密度电流脉冲下裂纹尖端电流集肤效应和急剧发热升温解析的边界元法。
Concerns BEM (boundary element method) of electric current concentrating effect and temperature rising analysis at the crack tip with high density electric pulse.
获得了冻结管壁热流密度的解析算式。
And the analytical formula about the heat flux of freezing pipe's wall was obtained.
对模型进行解析，找出了影响五区小麦产量较大的因子是氮基肥、不同叶龄追施氮肥和密度。
The main factors influencing the wheat yield in downland were initial nitrogenous dressing, the amount of nitrogenous fertilizer applied for different leaf age and close fertilization.
对高温平板滞止区内饱和水喷流冲击沸腾的临界热流密度进行了理论解析和实验研究。
The quantificational effects of the nanoparticles concentration and the flow conditions on the jet boiling heat transfer and the critical heat flux(CHF) were systemically investigated.
对高温平板滞止区内饱和水喷流冲击沸腾的临界热流密度进行了理论解析和实验研究。
The quantificational effects of the nanoparticles concentration and the flow conditions on the jet boiling heat transfer and the critical heat flux(CHF) were systemically investigated.
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