导出了克尔非线性梯度折射率光纤轴对称模传播常数的解析公式。
The analytic formulas of propagation constants of axisymmetric modes in a Kerr law nonlinear graded index optical fiber are derived.
本文首次研究了高斯光束通过非线性梯度拆射率棒透镜的色差特性。
The characteristics of the chromatic aberration of Gaussian beams through a nonlinear graded index rod lens are studied for the first time to our knowledge.
提出一种稳定的IR自适应滤波器，并给出了系数迭代的非线性梯度算法。
This paper puts forwards a stable IIR adaptive filter, along with the nonlinear gradient algorithm concerning its coefficient iteration.
采用矩阵光学方法研究了高斯光束通过非线性梯度折射率透镜的传输特性。
By using the matrix optics method, the propagation properties of Gaussian beams through a nonlinear gradient-index lens are studied.
该文提出一种无约束优化非线性共轭梯度法，证明了精确线性搜索下的全局收敛性。
The paper presents a nonlinear conjugate gradient method for unconstrained optimization problem, and proves its global convergence under exact line searches.
采用非线性回归的方法，提出了该桥混凝土箱梁的温度梯度模式。
The mode of temperature gradient of this Bridges box girder is developed by the method of nonlinear regression.
对于其中的非线性约束采用活动约束集的概念，而对于线性边界约束，则按约束优化方法中的梯度投影法作专门处理。
The active constraint set was introduced in the nonlinear constraints of the optimization, meanwhile the project gradient method was used to treat the linear boundary constraints.
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.
现代科学技术中出现了大量复杂的非线性问题，其中大部分在局部有大梯度甚至不连续的特点。
More and more complex nonlinear problems appear in Modem Science and Technology, with large gradients or discontinues in local region.
考虑了二次梯度项影响的非线性径向流动问题的无限大地层和有界地层渗流模型。
The models of the nonlinear radial flow for the infinite and finite reservoirs including a quadratic gradient term were presented.
研究非线性锥型梯度折射率媒质中的模式变换特性。
Properties of mode conversion in a nonlinear conical graded index medium are investigated.
在非线性偏微分方程中，根据弱可压缩液体的假设，忽略二次梯度项，在试井较长时间内将产生误差。
According to the assumption of slightly compressible fluid, neglected the quadratic gradient term in nonlinear partial differential equation is usually lead to error.
本文导出了高斯光束通过非线性抛物形梯度折射率棒透镜的变换公式。
The transformation formulae of Gaussian beams through a nonlinear parabolic graded index rod lens are derived.
分离系统的线性部分和非线性部分参数学习都采用自然梯度算法。
The natural gradient method is applied for parameter learning of the linear and nonlinear parts of the separating system.
稳定化双共轭梯度法用于求解稀疏线性方程组，可调节参数的修正迭代法用于求解非线性代数方程组。
Linear equations of sparse matrix are solved by Biconjugate Gradients Stabilized Method and nonlinear algebraic equations are solved by parameter-regulated iterative procedures.
利用优化问题的非线性共轭梯度法与混沌优化方法相结合，提出了一种新的混合优化算法。
A new hybrid algorithm which combines the chaos optimization method and the nonlinear conjugate gradient method approach having an effective convergence property is proposed.
本论文根据制备梯度功能材料成分分布的非线性理论，计算出聚氨酯在混合树脂中体积比的分布函数。
According to the non-linear theory of composition of the graded function materials distribution, the volume content function of polyurethane in the mixed resin was achieved.
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.
考虑了二次梯度项的非线性双重介质模型。
A nonlinear dual-porosity model considering a quadratic gradient term is presented.
考虑一类对角型椭圆组，它的非线性项关于未知解的梯度为二次增长。
Consider an elliptic system in diagonal form of which the nonlinear terms are of quadratical growth respect to the gradient of the unknown solution.
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.
对温度、弹性变形和刚体运动变量联合求解，研究了热流引起的温度梯度对弹性变形和刚体转动的影响，以及在大变形情况下的几何非线性效应。
The influence of temperature gradient on the elastic deformation and rigid body motion and geometric nonlinear effect due to the large deformation are investigated.
在不同的风速条件下，采用牛顿下降梯度法迭代求解非线性代数方程组形式的系缆气球平衡方程。
For the different wind speed, the equilibrium points could be got from the trim equations solving by Newton iteration method.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
并确定了产生非线性渗流的压力梯度区域。
Meantime, the pressure gradient region, which producing the non-linear seepage flow, was calculated.
讨论带不等式和等式约束优化问题，提出了求解非线性规划问题的广义摄动梯度投影算法。
In this paper, the constrained optimization problem is discussed to arrive at a general perturbed gradient projection method for solution.
提出一种基于非线性共轭梯度法的唯相直接数据域最小二乘算法。
A phase-only direct data domain least square (D3LS) algorithm based on the nonlinear conjugate gradient method was proposed.
给出了一个基于自然梯度的后非线性多信道盲解卷算法。
A natural gradient based algorithm for multichannel blind deconvolution of post-nonlinear mixtures is proposed.
给出了一个基于自然梯度的后非线性多信道盲解卷算法。
A natural gradient based algorithm for multichannel blind deconvolution of post-nonlinear mixtures is proposed.
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