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Finally, we discuss that the combination of conforming quadrilateral Q\ element and nonconforming quasi-Wilson element on anisotropic meshes. The error estimates of the energy norm and L~2-norm are obtained, which are the same as those of the traditional methods.

最后,本文研究了逼近空间取为协调的四边形Q_1元和非协调类Wilson元的情况,同样在剖分网格不满足正则性条件下,得到了与传统方法相同的能量模和L~2模误差估计。

He proved that:if the total moving times of mesh M is a finite number and independent ofΔt andh.the L2-norm error estimate is optimal;if Mh is independent ofΔt and bounded,energy norm error estimate is optimal.

并证明了当网格变动次数M是不依赖于Δt和h的有限数时,近似解与真解的L2误差估计是最优的;当Mh不依赖于Δt且有界时,能量模误差估计最优。

After theoretic analyzing support vector machine technique, the equipollence of support vector classification and regression problems is proofed, and a uniformed expression of support vector machine problem is gotten. The noise stained case is studied emphatically, and the experiment shows that a better result will be obtained by assigning weight factor to fit noise distribute characteristic. A multi-multiplier minimal optimization algorithm for norm-1 problems is deduced, and a kind of improved Gilbert geometric algorithm for norm-2 problems is introduced, which is applied in regression problems successfully.

课题细致深入地讨论和研究了软测量模型的三个基本问题,首先是软测量模型的可实现性,即软测量模型存在唯一解的条件,以及知识利用的度量等一些相关的概念,体现出混合软测量模型在知识利用有效性上的优势;然后对模型不确定性的概念进行了讨论,研究了模型可靠性问题,得出测量精度与软测量模型可靠性之间的关系;最后讨论了软测量模型与传统软测量方法的关系,说明软测量模型是传统软测量方法的发展。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分:在一维情形,我们考虑了一类带导数项的Ginzburg—Landau方程,通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计,证明了当粘性系数趋于零时,Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解,并给出了最优收敛速度估计;在二维情形,我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性,以及在某种特殊情形下,GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解;在一般情形下,我们讨论了一类Ginzburg—Landau方程的非齐次边值问题,通过几个积分恒等式,同时估计解的H〓模及法向导数在边界上的模,证明了整体弱解的存在性。

Automatic collimation of norm pole was realized by precisely halving norm pole on the method of subpixel on former gray image.

对原图像灰度化,在标杆区域内利用像素细分法最终精确平分标杆,实现标杆的自动精确瞄准。

Put forward a new method by transforming the second-order hyperbolic equationinto a first-order system of equations and derived the H_0~1 -norm and the L~2 -norm error estimates.

12提出一种新方法,通过转化双曲型方程中二阶时间导数项得到关于一阶时间导数的耦合方程组,然后进行离散,得到一个两层交替方向有限元格式,并得到H_0~1-模和L~2-模误差估计。

Secondly, we discuss generalizedderivable mappings at unit and Jordan derivable mappings at unit on Von Neumannalgebra, and we prove that every norm continuous linear mapping generalized deriv- able at unit is a generalized inner derivation, every norm continuous linear mappingJordan derivable at unit is a inner derivation.

其次对Von Neumann代数M上的在单位广义可导和在单位Jordan可导的线性咉射进行了讨论,证明了在单位广义可导的范数连续的线性映射是M上的广义内导子,在单位Jordan可导的范数连续的线性映射是M上的内导子。

In this period, the norm of laws plays an important role during the procedure of the law benefit"s form,(the norm of law which implicates highly * beneficially potential energy, and even the whole law system, is the basis on which the benefit of law is realized.) It includes the socialjustice embodied by law and the reflection of the country"s will and its acceptance, rigorousness, unity and coordination.

其中,法律规范在法律效益的形成过程中,扮演着一个极为重要的角色,内蕴高效益势能的法律规范乃至整个法律体系是实现法律效益的基础,它包括法律对社会正义的体现,对国家意志的反映,它的可按受性及其严谨而完整和谐性。

Thinking with constitutional concept would improve the ability to interpret and understand about the norm of lawman,as well as recognize the nature of vary constitutional norm,develop constitution with this f10undation and toward the road to communicate and understand.

以宪法概念思维,可以增进法律人对各种宪法规范属性的认识,提高对宪法规范的诠释和理解能力,并在此基础上发展宪法,进而通往沟通与理解之路。

The norm and the angle made with the center line by the vector of the codeword are computed for each codeword off-line firstly, then the codewords are ordered according to the ascending order of their norm.

文章提出了一种改进的等范数最近邻码本矢量搜索算法,该算法预先离线计算好各码本矢量的2-范数和它与中心线的矢量夹角,再根据各码本矢量的2-范数进行升序排列。

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