- 更多网络例句与泛函演算相关的网络例句 [注：此内容来源于网络，仅供参考]
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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.
主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。
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Contrast source inversion algorithm recasts the inversion problem as a minimization of a cost functional, thus an iterative sequence is formed to reconstruct the contrast sources and contrasts.
对比源反演算法将反演问题转化为求解成本泛函的极小值问题，从而形成重构对比源和对比度的迭代序列。
- 更多网络解释与泛函演算相关的网络解释 [注：此内容来源于网络，仅供参考]
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functional calculus：函项演算
functional analysis 泛函分析 | functional calculus 函项演算 | functional constant 函数常数
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first order functional calculus：一阶泛函演算
一阶方程 first order equation | 一阶泛函演算 first order functional calculus | 一阶积分微分方程 first order integral-differential equation