分别利用了共轭函数法与直接配置和非线性规划方法对异面最优变轨问题进行了求解。
Adjoint function algorithms and direct collocation and nonlinear programming methods are applied to resolve the non-coplanar optimal orbit transfers problem.
这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。
These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.
本文研究了扫描共轭显微镜的探测位置稍微偏离光轴时显微镜三维变换函数的变化，以及对显微镜成像效果的影响。
Analytical expressions for the three-dimensional transfer functions for both the reflection and transmission cases are presented and the imaging that can occur if the detector is offset is discussed.
给出了复形式的复变函数的共轭可微性充要条件的证明及其重要应用。
This article was to offer necessary and sufficient condition and application of conjugate differentiable complex function in complex system.
通过计算发电机转速和无功补偿节点电压变化量对各控制器参数的轨迹灵敏度，获得目标函数对各控制器参数的梯度，以便于用共轭梯度法寻找最优解。
Trajectory sensitivity approach is used to assess the gradient of the PSS and SVC parameters on the objective function and then conjugate gradient approach is applied to find the optimum solution.
通过实例介绍了运用HMO理论根据分子对称性获得共轭分子简并能级波函数的一种方法。
This paper introduces a new method to calculate wave function of degenerate energy lev-el for conjugated molecules by HMO theory in the light of molecular symmetry.
该方法利用最大似然准则建立目标函数，同时利用非线性共轭梯度法来优化求解目标函数。
The objective function was established based on the maximum likelihood rule, which was solved by nonlinear conjugate gradient method.
采用段法(区域法)求解正问题，反演中采用求目标函数极小值的共轭梯度法。
The energy equation is solved by the zonal method, and the inverse radiation problem is solved through the minimization of performance function with the conjugated gradient method.
你也可以得到这些，通过波函数乘以，其共轭进行如上操作。
You get these plots by taking the wave function times its complex conjugate and operating on that.
以分割区域d为基础将解析函数与共轭解析函数的微分中值定理推广到高阶形式。
Basing on a partition of region d, we generalize the differential mean-value theorems for analytic functions and conjugate analytic functions to a high order case.
反问题的解在正问题的基础上通过共轭梯度法最小化目标函数得到。
The inverse solution was obtained through minimizing the object function using CGM based on the direct problem.
梯度法对许多非线性问题均具有较好的性能，计算目标函数可以使用新的共轭变量法，有望显著提高寻优效率。
Generally, to nonlinear problem, gradient-based method is faster than simple method, and may improve efficiency due to using conjugate variables to calculate object function value.
它包括使用两个复数透光片，其中一个振幅透射率等于该系统的相干脉冲响应函数，另一则为其共轭复数。
The amplitude transmittance of one of them is assumod to be the same function as the coherent impulse response of the system, and that of the other being complex conjugate of the former.
该方法是在辐射传递方程离散坐标近似的基础上，用求目标函数极小值的共轭梯度法进行反演计算。
The inverse problem is solved using conjugate gradient method of minimization based on discrete ordinates method of radiative transfer equation.
留数是复变函数中的一个极其重要的概念，其应用也非常广泛，本文证明了实系数有理分式函数的共轭复极点的留数也互成共轭。
This paper proves that residues at conjugate complex poles of rational fractional function with real coefficients are conjugate complex Numbers as well.
文中分析了回波信号以及其共轭信号的FRFT幅值特性，并利用此特性提出了一种基于共轭FRFT模函数对消的海面运动目标检测方法。
In the paper the amplitude characteristic of echo signal and its conjugate signal are analysis, based on that a detection method based on conjugated FRFT in sea clutter is proposed.
文中分析了回波信号以及其共轭信号的FRFT幅值特性，并利用此特性提出了一种基于共轭FRFT模函数对消的海面运动目标检测方法。
In the paper the amplitude characteristic of echo signal and its conjugate signal are analysis, based on that a detection method based on conjugated FRFT in sea clutter is proposed.
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