演算

The topics include the spectral theorem, the functional calculus and the Fredholm index.

主题包括谱定理，功能演算和弗雷德霍尔姆指数。

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。

When the evaluation of the function/functor yields true it will be considered as meeting the condition.

当函数/仿函数的演算值为真时，则认为匹配了条件。

Would you agree that much strenuous argument about the nature of reality is mere gabble, in this sense:"it does not compute"?

您同意费力辩论关于现实的本质是仅毫无意义的言谈，这样"不符合演算"？

One conclusion he draws is that when we make an error of fact, we simply misstate what is the case, but when we make an error about general truths, we fail in calculation, and the result is an absurdity, something that looks like speech but is actually senseless, mere gabble.

他得出的一个结论是，实际误差即为我们误述实际情形，但对於真相的误判，我们无法演算，并且结果非常荒唐，看起来像在沟通但实际上仅仅是无意义的言谈。

Here, we introduce GAINER, a novel genetic algorithm based integrative for discovering protein subcellular localization signatures.

在此，我们提出一利用基因演算法为基础的系统"GAINER"，来侦测细胞内蛋白质用以定位的特徵。

This paper presents a new data clustering algorithm based on glowworm swarm optimization algorithm.

摘要 本研究以萤火虫最佳化(Glowworm Swarm Optimization， GSO)演算法为基础，发展出新的资料分群方法，我们称之为CGSO。

In 2008, scientists at the Learning Algorithms and Systems Laboratory in Lausanne, Switzerland, came out with the Chief Cook Robot, which can make omelets (ham and Gruyere were in its first).

2008年，瑞士洛桑「学习演算法与系统实验室」的科学家，制造出会煎蛋卷（火腿和格鲁耶乾酪都还未切开）的主厨机器人。

The models and visualization system are in accordance with the gulch development rule in the study area,so they can be used for reconstructing ancient and predicting future...

模型演算与可视化的结果表明，该系统符合所研究地区的沟谷演化规律，可以用来恢复古沟谷形态和预测将来的形态。

The models and visualization system are in accordance with the gulch development rule in the study area, so they can be used for reconstructing ancient and predicting future shapes of different gulches.

模型演算与可视化的结果表明，该系统符合所研究地区的沟谷演化规律，可以用来恢复古沟谷形态和预测将来的形态。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。