查询词典 functional calculus

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。

To a certain extent, the effects of surface functional groups, especially oxygen functional groups, on adsorption properties were reviewed by changing of surface chemistry structure with the aid of different post treatments.

结合ACF后处理的结构变化以及吸附性能的改变，在一定程度上研究了表面基团特别是氧表面官能团对吸附性能的影响。

Electrolyzed-functional water ; alkaline electrolyzed-functional water ; animal cell ; reactive oxygen species ; diseases

电解功能水；碱性电解功能水；动物细胞；活性氧自由基；疾病

It increased the content of chlorophyll, soluble protein, ammoniac nitrogen and soluble sugar in functional leaves, but declined the content of starch and nitrate nitrogen in functional leaves during the whole growth period of cotton.

研究表明，增加硝化抑制剂有利于棉花在生长发育的各个时期，功能叶片叶绿素、可溶蛋白、氨基态氮、可溶糖含量的积累，但抑制淀粉和硝态氮含量的积累。

(1) cerebral ischemical reperfusion injury rats'limbs motor function is variable. Acupuncture could promote lims'functional recovery.(2) PCNA masc cells is visible in cerebral ischemical semidarkness region. There is cell regeneration phenomenon. Acupuncture could strengthen injury region's PCNA expression, could profit injury recovery and functional reconstruction.(3) In ischemia semidarkness region for the model group and acupuncture group, PCNA masc cells percentage of 14days group is lower than 7days group. Along with the recovery of injury, cell multiplication is weaken.(4) In cerebral ischemia semidarkness region, there is VEGF masc cells and regeneration phenomenon. Acupuncture could strengthen injury region's VEGF expression, could profit protection after injury and blood vessel regenerate.(5) In ischemia semidarkness region for the model group and acupuncture group, VEGF masc cells percentage of 14days group is lower than 7days group. Along with the recovery of semidarkness region, ischemia and anoxemia state is getting improved, and VEGF is reduce.(6) As there are PCNA and VEGF masc cells in brain injured region, we could conclude that, after brain ischemical reperfusion injury, there are blood vessel regeneration phenomenon. Acupuncture could promote blood vessel regeneration, recovery blood supply sufficiently and quickly, and promote the recovery of brain injury region.(7)The VEGF masc cells percentage of inhibitor group is lower than acupuncture group. It state that the effect of acupuncture promote VEGF is partly depend on the existing of eNOS.

实验结论：(1)脑缺血再灌注损伤后大鼠的肢体运动功能发生改变，针刺可以促进肢体功能恢复；(2)脑缺损伤区可见PCNA阳性细胞，存在细胞再生现象，针刺可以增强损伤区PCNA的表达，有利于损伤的修复和功能重建；(3)针刺组和模型组14d时缺血损伤区PCNA阳性细胞百分比低于7d组，随着损伤逐渐得到修复，细胞增殖现象减弱；(4)脑缺血损伤区可见VEGF阳性细胞，存在内皮型细胞再生现象，针刺可以增强损伤区VEGF的表达，有利于脑损伤后保护和缺血区血管再生；(5)针刺组和模型组14d时缺血损伤区VEGF阳性细胞百分比低于7d组，随着缺血损伤的修复，缺血缺氧状态得到改善，产生的VEGF减少；(6)由于脑损伤区同时出现PCNA阳性细胞和VEGF阳性细胞，前者是增殖细胞的标志，后者是促进血管再生的重要因子，可以推断，脑缺血再灌注损伤后脑内存在血管再生现象，针刺可以促进损伤区的血管再生，更迅速而充分的恢复损伤区的血供，促进脑损伤区的修复；(7)抑制剂针刺组脑损伤区VEGF阳性细胞百分比与针刺组相比有不同程度的降低，说明针刺促进缺血损伤区VEGF表达部分依赖eNOS的存在。

In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理；利用点态光滑模讨论其关于K-泛函的强逆不等式；同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

The project 'Study of the multi-functional optical probe measurement systembased on differential astigmatic technology' is to develop a new kind ofmuti-functional measurement system with high precision and non-contactmeasurement.

课题"基于差动像散技术的多功能光探针测量系统的研究"的目的就是探讨研究一种高精度、非接触式的多功能测量系统。

Then, we consider the Lyapunov-Schmidt reduction method from the Morse theoretical point of view. We prove that the critical groups at infinity of the reduced functional are isomorphic to those of the original functional.

接下来，我们从Morse理论的角度来考察著名的Lyapunov-Schmidt约化方法，证明了原泛函与约化后的泛函在无穷远处的临界群是同构的。

In this way the functional indexes such as productive capacity, quality of product, energy consumption and reliability and main indexes such as noise, heat preservation, convenient operation and auxiliary functional indexes are improved.

由于强调专用性，根据物料干燥的特殊要求确定风量、温度、相对湿度、运转速度等技术参数，这样设备的功能指标如生产能力、产品质量、能源消耗、可靠性等主要指标和噪音、保温性能、操作方便性等辅助功能均有提高。

SS-JM series colloid mill can accord to users' special requirement offer the one multi-functional but idling type operation. The machine is sealed and has not kept in touch with the medium definitely. Machinery seal can use longevity long of new generation hygiene grade and colloid rub (the patent for invention of China) and has developed another kind of closed colloid rub. Its all closed circulated backset current system makes the supplies carry on the multi-functional grind, emulsification, homogeneous, crush, disperse, and stir, processing that mix in the airtight environment.

SS-JM系列胶体磨擅长于可根据用户的特殊要求提供多功能的可空转式运作，机封与介质绝无接触，机械密封使用寿更长的新一代卫生级可空转式胶体磨，以及研制了另一种封闭式胶体磨其全封闭式内循环回流系统，使物料在密闭的环境中进行多功能研磨、乳化、均质、粉碎、分散、搅拌、混合的加工。

He became prime minister in 1997 and won international acclaim for his role in the Northern Ireland peace process.

他在1997年成为总理，并且因为在北爱尔兰的和平进程中发挥的作用受到国际社会的赞许。

Mixed Page Sorting Method Using the cuttable user model, this thesis proposes a mixed page sorting method by using cutted user model in server-side and complete user model in client-side.

隐私分级利用的混合式页面排序方法针对个性化搜索中搜索结果排序的问题，本文利用隐私可控开放的用户偏好模型，提出一个在客户端和服务器端分步进行的隐私分级利用的混合式页面排序方法。