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1) minimizer graph

minimizer graph

2) minimizer

最小元

The necessary conditions for minimizers of a kind of nonlinear functions;

一类非线性泛函最小元的必要条件

This paper is devoted to the study on the minimizers of a kind of nonlinear functionals.

本文研究一类非线性泛函最小元。

3) minimizer

极小元

Asymptotic analysis for minimizers of a Ginzburg-Landau type functional in a higher dimension space;

高维空间中一类Ginzburg-Landau型泛函的极小元的渐近分析

Let u ε be minimizers for the Ginzburg Landau type function E ε(u,G) in W 1,p g(G,R n) .

证明当ε→ 0时 ,一类 Ginzburg-Landau型泛函 Eε(u,G)于集合 W1 ,pg (G,Rn)中的极小元uε在 W1 ,p下收敛到以 g为边值的 p能量极小 up。

4) minimizer

极小

Local Boundedness of Minimizers of Functionals Involving Anisotropic Growth Conditions;

各向异性泛函极小的局部有界性

It is proved that the unconstrained minimizers for the p(x)-Laplacian integral functionals satisfying some natural conditions must possess radial symmetry.

证明了在自然条件下p(x)-Laplace积分泛函的无约束极小必具径向对称性,推广了Lopes在p=2时的一个相应的结

It is proved that the unconstrained minimizers and the constrained minimizers for the p-Laplacian integral functionals satisfying some natural conditions must possess radial symmetry.

证明了在自然条件下 p- Laplace积分泛函的无约束极小和约束极小必具径向对称性 ,推广了 Lopes在 p =2时的相应结果。

5) minimizer

能量极小映射

The main aim of this thesis is to study the properties of the maps for Heisenberg group target, which include Lipschitz and Holder continuity, L~(P)(#,H~(n)) , W~(1,p)(#,H~(n)) , BMO and John-Nirenberg estimates, embedded theorems, Poincare inequalities and reverse Poincare inequalities, the regul-arities about the minimizers.

本文的主要目的是系统研究靶流形为Heisenberg群的函数及其空间的性质，其中包括Lipschitz及Hlder连续性、空间L~p(Ω，H~n)及W~(1，p)(Ω，H~n)的性质、空间BMO(Ω，H~n)的性质及其上的John-Nirenberg估计、嵌入定理、Poincare不等式和逆Poincare不等式、能量极小映射的存在性、正则性及用调和函数逼近能量极小映射等问题。

6) near-minimizer

近似最小值

It is then proved that the wavelet approximation is a near-minimizer of the functional which has to be minimized to solve th.

有鉴于此,文中构造了可用于非线性滤波算法的一族分段n次小波阈值参数滤波器函数,证明了求解去噪问题必须使得泛函取最小值,而小波逼近是该泛函的近似最小值,可以用来替代Donoho的软阈值滤波器,而且次数n越大,逼近效果越好;同时证明了该n次滤波器的极限是一理想低通滤波器。

参考词条

near-minimizer exact minimizer global minimizer radial minimizer weak minimizer minimizer set Regularized minimizer minimizer of functional Energy minimizer global minimizer The global minimizer isolated local minimizer minimizer of energy functional p-energy minimizer Strict local minimizer minimizer of energy functional Sr2Bi2O5 美术教育史

补充资料：and-or graph

分子式：
CAS号：

性质：一种系统地将问题分解为互相独立的小问题，然后分而解决的方法。与或图中有两种代表性的节点：“与节点”和“或节点”。“与节点”指所有的后续节点都有解时它才有解；“或节点”指各个后续节点均完全独立，只要其中有一个有解它就有解。

说明：补充资料仅用于学习参考，请勿用于其它任何用途。

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1) minimizer graph minimizer graph 2) minimizer 最小元 1. The necessary conditions for minimizers of a kind of nonlinear functions; 一类非线性泛函最小元的必要条件 2. This paper is devoted to the study on the minimizers of a kind of nonlinear functionals. 本文研究一类非线性泛函最小元。 3) minimizer 极小元 1. Asymptotic analysis for minimizers of a Ginzburg-Landau type functional in a higher dimension space; 高维空间中一类Ginzburg-Landau型泛函的极小元的渐近分析 2. Let u ε be minimizers for the Ginzburg Landau type function E ε(u,G) in W 1,p g(G,R n) . 证明当ε→ 0时 ,一类 Ginzburg-Landau型泛函 Eε(u,G)于集合 W1 ,pg (G,Rn)中的极小元uε在 W1 ,p下收敛到以 g为边值的 p能量极小 up。 4) minimizer 极小 1. Local Boundedness of Minimizers of Functionals Involving Anisotropic Growth Conditions; 各向异性泛函极小的局部有界性 2. It is proved that the unconstrained minimizers for the p(x)-Laplacian integral functionals satisfying some natural conditions must possess radial symmetry. 证明了在自然条件下p(x)-Laplace积分泛函的无约束极小必具径向对称性,推广了Lopes在p=2时的一个相应的结 3. It is proved that the unconstrained minimizers and the constrained minimizers for the p-Laplacian integral functionals satisfying some natural conditions must possess radial symmetry. 证明了在自然条件下 p- Laplace积分泛函的无约束极小和约束极小必具径向对称性 ,推广了 Lopes在 p =2时的相应结果。 5) minimizer 能量极小映射 1. The main aim of this thesis is to study the properties of the maps for Heisenberg group target, which include Lipschitz and Holder continuity, L~(P)(#,H~(n)) , W~(1,p)(#,H~(n)) , BMO and John-Nirenberg estimates, embedded theorems, Poincare inequalities and reverse Poincare inequalities, the regul-arities about the minimizers. 本文的主要目的是系统研究靶流形为Heisenberg群的函数及其空间的性质，其中包括Lipschitz及Hlder连续性、空间L~p(Ω，H~n)及W~(1，p)(Ω，H~n)的性质、空间BMO(Ω，H~n)的性质及其上的John-Nirenberg估计、嵌入定理、Poincare不等式和逆Poincare不等式、能量极小映射的存在性、正则性及用调和函数逼近能量极小映射等问题。 6) near-minimizer 近似最小值 1. It is then proved that the wavelet approximation is a near-minimizer of the functional which has to be minimized to solve th. 有鉴于此,文中构造了可用于非线性滤波算法的一族分段n次小波阈值参数滤波器函数,证明了求解去噪问题必须使得泛函取最小值,而小波逼近是该泛函的近似最小值,可以用来替代Donoho的软阈值滤波器,而且次数n越大,逼近效果越好;同时证明了该n次滤波器的极限是一理想低通滤波器。参考词条 near-minimizer exact minimizer global minimizer radial minimizer weak minimizer minimizer set Regularized minimizer minimizer of functional Energy minimizer global minimizer The global minimizer isolated local minimizer minimizer of energy functional p-energy minimizer Strict local minimizer minimizer of energy functional Sr2Bi2O5 美术教育史补充资料：and-or graph 分子式： CAS号：性质：一种系统地将问题分解为互相独立的小问题，然后分而解决的方法。与或图中有两种代表性的节点：“与节点”和“或节点”。“与节点”指所有的后续节点都有解时它才有解；“或节点”指各个后续节点均完全独立，只要其中有一个有解它就有解。说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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