The performance function and constraint equation in calculus of variations were constructed by analyzing input and output equations of the system containing parameters to be estimated. The traditional parameter estimation problem could be transformed to that of least squares estimation.

通過分析包含待估參數(shù)的系統(tǒng)輸入輸出方程，構(gòu)造變分法中的性能范函和約束方程91自啪，將傳統(tǒng)的參數(shù)估計問題化為帶約束條件的最小二乘估計問題一级一级一片在线观看；利用拉格朗日乘子法，分析參數(shù)估計方程www777miqi，得到參數(shù)的最優(yōu)估計亚洲男人女人视频。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要結(jié)論是：給出了局部分數(shù)次積分半群和相應(yīng)的Cauchy問題的關(guān)系以及分數(shù)次積分半群和正則半群的關(guān)系；引入了正則預(yù)解族的概念亚洲不卡无码精品一区二区，并給出了其生成定理和解析生成法則麻豆国产原创福利；給出了分數(shù)次預(yù)解族與其生成元的譜包含關(guān)系，并研究了在生成元逼近和分數(shù)階逼近兩種情況下相應(yīng)的預(yù)解族的逼近問題18禁止爆乳无遮挡污污污网站；利用數(shù)值域方法證明了具變系數(shù)的橢圓算子在L^2上生成分數(shù)次預(yù)解族欧美偷窥自拍；利用Sobolev不等式和橢圓算子的先驗估計證明了具變系數(shù)的橢圓算子在其最高項系數(shù)為實數(shù)時在L^p上生成分數(shù)次預(yù)解族国内色色色色色色；運用Fourier乘子理論国内顶级A片大豆网、泛函演算和Mittag-Leffler函數(shù)證明了一類強制微分算子可以生成分數(shù)次正則預(yù)解族，并給出了該預(yù)解族的范數(shù)估計在线观看网站人成。

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

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inclusion functor：包含函子

inclusion 包含 | inclusion functor 包含函子 | inclusion map 包含映射

inclusion map：包含映射

inclusion functor 包含函子 | inclusion map 包含映射 | inclusion relation 包含關(guān)系