它们要求的计算时间比严格解要少得多。
They require much less time for computation than the exact formulas.
采用赝角动量的方法研究了非谐振子定态薛定谔方程的严格解。
The energy spectra and eigenstates of an anharmonic oscillator for the bound states is studied with the aid of pseudo_angular_momentum method.
对应于铁磁及反铁磁相变，其结果与已知的严格解及最好近似解一致。
In the case of the ferromagnetic and antiferromagnetic phase transitions, the results are in agreement with the known exact and the best approximate ones very satifatorily.
从而证明了此种形式等效线路与从波动方程求得的严格解析解完全等价。
In this article, based on the admittance formula derived by Mason and using the Mittag-Leffler's theorem, the complete equivalent circ…
给出了用位函数方法推导介质覆盖导电球上缝隙天线辐射场严格解的过程。
A novel method based on potential function theory is given in this paper to formulate the analytic solution of slot antenna on electrical sphere coated with dielectric layer.
本文利用SO（3）旋转群性质得到了非线性双折射介质模型的一个严格解。
An exact solution for the nonlinear birefringent medium model is obtained by using SO(3) rotation group property.
介绍了导出平均场加一般对力核多体问题粒子数守恒严格解的无穷维李代数方法。
By using an algebraic method related to su(3) Lie algebra, exact solutions of the eigenvalue problem of the reduced Hamiltonian are derived analytically.
本文中给了非线性行波和驻波的严格解，并用于包括热声堆和温度梯度的复合管中。
Nonlinear sound wave propagation is solved rigorously for progressive and standing waves and applied to composite tubes including thermoacoustic stacks with temperature gradient.
本文给出了一个新的生成解定理和一个新的爱因斯坦·麦克·斯威场方程的严格解。
In this paper we have reached a new theorem on generation solutions and a new exact solution of Einstein-Maxwell Eguations.
利用李代数方法给出了含时库仑势量子体系的严格解，并指出了该方法的适用条件。
By use of Lie algebraic method, the exact solution of a quantum system with time-dependent Coulmb potential was obtained, and the suitable condition of the method was pointed out.
本文探讨具有旋量场的虫洞模型，导出了相应的虫洞方程和给出该方程的一个严格解。
In this paper, we discuss the wormhole model with the spinor field and deduce corresponding wormhole equation, and obtain a exact solution of this equation.
应用本法计算了一些有严格解的流动，从而给出了推荐使用的展开流线数及计算站数；
It makes the application of the mean-stream-line method in large space cascade design possible with the optimized given velocity distribution along suction surface also guaranteed.
分析了两种不同模型的自由空间中非对称面西线，其共形变换技术得到了线电容的严格解；
In this paper, asymmetrical coplanar lines in free space are analyzed using two conformal mapping models, and the exact solutions for the basic parameters of the lines are obtained.
在此运用二能级系统幺正演化算符的方法，求解几种较为典型特例的严格解，分析其相位的变化。
The properties of the weak-coupling bound polaron in quantum well are studied using the linear combination operator and the unitary transformation method.
同时引入旋转变换使每一相的雅可比矩阵和信息矩阵实虚部严格解耦，进一步降低了问题的求解规模。
Besides, with the use of rotation transformation, the real and image parts of Jacobian matrix and information matrix can be strictly decoupled, so that the solution scale is reduced furthermore.
本文对激光束在漫射表面上散射的一类统计模型给出了严格解，并与“质心近似”所得结果作了比较。
Exact solution of a statistical model for laser beam scattering from diffusing surface has been obtained, the comparison with the approximation of center of gravity has been made.
用微分方程的严格解，讨论带电粒子在均匀磁场中的运动轨迹，得出带电粒子在均匀磁场中的运动轨迹是螺旋线的结论，目的是加深带电粒子在磁场中运动问题的理解。
Discussed moving equation of bring electric particle in even magnitism field. Conclusion is spiral line for moving trade in even magnitism field. Objective is to deepened understand question.
显然，全动态解耦是一个严格的要求。
并进一步证明了严格单调算子的解的唯一性定理。
We prove the uniqueness theorems of solutions for the strictly monotone operators.
本文研究集值向量变分不等式的严格可行性与可解性之间的关系。
In this paper, we investigate the relationship of strict feasibility and solv - ability for the multivalued vector variational inequality.
迄今为止，除了少数未从数学上严格证明其收敛性的精确解外，大多数均采用近似方法求解。
So far many approximate methods have been used to solve the large deflection problems except that only a few exact solutions have been investigated but no strict proof on convergence is presented yet.
严格一致有界性是一种可以给出解的衰减率信息的有界性；
Strict boundedness is the kind of boundedness that gives us some information about the rate of decay of the solution.
在用带有噪声的信号进行反卷积时，没有严格的解，必须采用滤波器方能得到稳定、平滑的估计解。
When deconvoluting the signal with noise, there are no exact solutions, so we must use filter to get stable and smooth estimated solutions.
在无功优化计算中，由于严格的节点电压限制、网络拓扑的变化或无功电源的不足等多种原因可能会导致原问题不存在最优解。
In reactive power optimization, the solution infeasibility may arise due to a variety of reasons such as restrictive voltage limits, change in network topology, and shortage of reactive power sources.
提出了简捷优化法与逐板严格计算优化相结合的方法，克服了以往优化设计计算中仅求得局部最优解的弊端。
Simple optimization method and rigorous calculation method are integrated in process optimization. It may overcome the defect of part optimal result.
提出了简捷优化法与逐板严格计算优化相结合的方法，克服了以往优化设计计算中仅求得局部最优解的弊端。
Simple optimization method and rigorous calculation method were integrated in process optimization. It may overcome the defect of part optimal result.
对于一个用于产生压缩态的典型的耗散系统，我们利用非主方程方法，得到其严格的解析解。
An exact analytical solution was obtained in a typical dissipation system which can be used to generate squeezed state of light.
近年来，变分不等式的解集非空有界与严格可行性的等价性被一些学者讨论。
Recently, some researchers have studied the equivalence betweenstrict feasibility and solution set being nonempty and bounded for variationalinequality problem.
解尺寸链的许多方法属于参数法，它们在理论上不够严格，存在方法误差。
Many parameter methods for solving the dimension chain have been developed since the 1950' s. They are not strict in theory and have inherent method errors.
解尺寸链的许多方法属于参数法，它们在理论上不够严格，存在方法误差。
Many parameter methods for solving the dimension chain have been developed since the 1950' s. They are not strict in theory and have inherent method errors.
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