均值场变分方法是图模型最基本的变分近似推理方法。
The mean field variational method is a basic variational approximate inference method.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
使用变分方法，推导了这类反应器边界温度控制的必要条件。
Using variational calculus, necessary conditions for boundary temperature control of the reactors have been derived.
运用强制变分方法，我们给出了在多种情况下方程解的存在性。
With the method of constraint variation, we obtain the existence of the solutions for the equations.
用变分方法证明了二阶奇异平面哈密顿系统的同宿轨道的存在性。
The existence of a homoclinic orbit for a singular second order planar Hamiltonian system is proved by using variational methods.
费曼路径积分的变分方法是计算束缚极化子基态能的最有效方法。
The Feynman path-integral variational theory is the best way to compute the ground-state energy of bound polarons.
本文以“修正的变分方法”为基础推导了一种新的飞机壁板结构动力分析方法。
Based on "modified variational method", a new dynamic analysis approach of aircraft panels has been derived in this paper.
文中给了一种由单多普勒雷达资料反演风矢量场的变分方法，并由此形成预报初始场。
A variational method for retrieving wind vector from single-Doppler wind measurements is developed and the initial forecast fields are created from the retrieved winds.
采用变分方法对于二维矩形光子带隙结构中x点孤子的耗散以及相干作用进行了动力学分析。
Dissipative and coherent effects of X-point solitons are investigated on the basis of dynamic variational formulation in two_dimensional photonic bandgap (PBG) structure of square lattice.
本文用变分方法计算了环形电场与非均匀磁场重叠场的二级离子轨迹，以能量分散形式加以表述。
The second order ion trajectories in crossed toroidal electric and inhomogeneous magnetic fields are derived by means of the Fermat's principle and expressed in energy deviation.
用基于普遍形式的不确定关系之上的变分方法推出了一维谐振子的含有量子数的等式型不确定关系。
Based on the general form of the uncertainty relation, using the variation method, the paper here deduces the equality form uncertainty relation which with quantum number of one - dimensional.
伴随模式的方法是以数值天气预报的动力模式作为约束条件的变分方法，比传统的变分方法有了很大的改进。
It is a variational method whose constraints are represented by the dynamic model for numerical weather prediction, and is a substantial improvement on the traditional variational scheme.
将分数阶微分理论和全变分方法相结合应用于图像去噪，提出了一种基于分数阶偏微分方程的图像去噪新模型。
Combining fractional order differential theory with total variation method, a new image denoising model was proposed, which was based on fractional Partial Differential Equation (PDE).
它共分六个部分：映射定理；单叶调和函数的数值估计；特殊映射；变分方法；境界性质和在极小曲面中的应用。
It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.
应用薄板非线性理论的变分方法求解基本方程，得到了单片碟形弹簧的载荷和变形关系以及应力分布及其计算公式。
By the variational method, the governing equation of the plate non-linear theory is solved, and he relationship between load and deformation of a single spring leaf is obtained.
在比（AR）条件更弱的一类超线性条件之下，利用变分方法讨论了一类超线性四阶椭圆方程的无穷多解的存在性。
By means of the variational approach, in a condition weaker than(AR) the existence of infinitely many solutions of fourth-order elliptic equation is discussed.
虽然有其他书籍或用于非线性弹性变分方法，没有一个是与作为证明存在的非线性弹性结果工具年轻的措施表示关注。
Although there are other books devoted to nonlinear elasticity or variational methods, none are concerned with Young measures as a tool for proving existence results in nonlinear elasticity.
在对原图像的绿色通道采用变分方法进行分解的基础上，提出了一种将模糊聚类与形态学滤波相结合的血管提取方法。
In this paper, an extraction method of retinal vessels based on fuzzy clustering in combination with morphological filtering is proposed.
本文提出了用复变—变分方法求解二维任意边界构件的应力强度因子。根据的复变函数方法，我们得到了应力场与位移场的一般表达式。
In this paper a complex variable-variational method is presented to determine the stress-intensity factors of two dimensional members with curvilinear boundaries.
研究了双多基地多普勒雷达资料的配对方法、风场反演的区域和精度，并研制了基于三维变分方法的双多基地多普勒雷达系统的风场反演系统。
The data processing and variational algorithm for 3-D wind field retrieval by bistatic Doppler radar network are developed and bias of retrieved wind is analyzed.
而可以综合集成图像的区域、边缘、形状、纹理、以及运动场等信息的变分方法因其良好的通用性与可扩展性成为时下图像分割领域主流的方法之一。
Moreover, variational method which can conveniently integrate image information, such as edge, region, shape, texture and motion field becomes the mainstream method of image Segmentation.
本文主要利用拓扑度理论中的不动点定理和变分方法中的极小作用原理及其环绕形式的临界点定理在适当的条件下讨论了一类二阶椭圆边值问题的可解性。
The aim of this thesis is to study the existence of weak solutions for semilinear second order elliptic boundary value problems under suitable conditions through topological and variational methods.
同时从能量最小原理出发，用变分的方法推导出几种端值条件，说明它们的力学背景。
Some end value condition derived by variational method in accordance with the least energy loss principle and their mechanical background are also dealt with.
曲线梁的理论研究主要采用平衡法、能量法以及基于变分原理的虚功(位移)方法。
Theoretical studies of curved girders mainly adopted the methods of balanced method, energy method and variation-based method of virtual work (displacement).
研究人口的阻滞增长模型，采用资料变分同化方法及最优控制的技巧，从理论上对模型中的最大人口容量和固有增长率进行最优确。
By using the variation assimilation method and the optimal control method, theoretical analyses of the maximum population capacity and the inherent growth rate for the population model is presented.
同时采用对偶方法来避免全变分项的非光滑性和高非线性性。
The algorithm also adopts dual method to avoid the nonsmooth and highly nonlinearity of total variation term.
本文运用赝势函数变分有限元方法数值模拟了绕翼型的跨音速有旋流动。
The variation finite element method (FEM) using the pseudo-potential function was presented for the simulation of transonic rotational flows.
同时，本课程也解释了几种常用的近似方法：WKB方法、变分原理、以及微扰理论。
The course also examines approximation methods: WKB method, variational principle, and perturbation theory.
该算法改变了原算法中非线性滤波的方式，并结合总变分最小化方法对图像进行降噪处理。
This algorithm changes the form of nonlinear filter, and denoises the image by combining with the method of total variation minimization.
以二维断面海温分布模型为例，利用海温实际观测数据，将变分伴随方法应用于断面海温初始场的优化。
In this paper the variational adjoint method is applied to the assimilation of the observed data into the sectional distribution of sea temperature to optimize the initial field.
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