查询词典 trace function

It is proved that every Lie derivation of nest algebra is the sum of an associative derivation and a general trace. Every Lie isomorphism between nest subalgebras of a factor von Neumann algebra is the sum of an isomorphism and a general trace or the sum of a negative anti-isomorphism and a general trace. Lie invariant subspace of linear mappings on Banach algebras is introduced, and linear maps from nest subalgebra of a factor von Neumann algebra into itself which satisfy the property that the space of derivations is their Lie invariant subspaces are characterized. Simultaneously, it is shown that such maps are Lie derivations modulo the set of scalar multiple of the identity.

得到Lie导子的特征表示，即套代数上的任何一个Lie导子都是内导子与广义迹之和；给出了Lie同构和同构及反同构之间的关系，即因子von Neumann代数中套子代数之间的任何一个Lie同构要么是同构与广义迹之和要么是负反同构与广义迹之和；引入了Banach代数上线性映射的Lie不变子空间，并给出von Neumann代数中套子代数上以导子空间为Lie不变子空间的线性映射的一个刻画，同时也表明在模去数乘恒等映射的意义下，以导子空间为Lie不变子空间的线性映射就是Lie导子。

That needs the trace elements enter the reaction of maintaining free radicals metabolism balance which can enhance the activity of anti-oxidate enzyme,the trace elements which can enforce the oxidate of the free radical needed to be reduced.This may decrease or increase the relevent trace elements.

这就需要血液中能增强抗氧化酶活性的微量元素参与到维持氧自由基代谢平衡的反应中，以及减少利用血液中能增强氧自由基毒性作用的微量元素，这就使得血液中相应的微量元素含量减少或升高。

The results revealed that there were rich trace elements in female silkworm moth, the total contents and essential macro elements of 10 familiar trace elements were 27339.30 mg/kg and 26900.00 mg/kg, respectively. The contents of 4 kinds of trace elements which are needed more in human beings were higher in silkworm moth than that in the important Chinese traditional medical insect moth, insects belonging to Meloidae. The content was also in agreement with human daily requirement.

家蚕雌蛾体富含微量元素，检测的10种常见微量元素的加和量和人体必需宏量元素含量分别为27339.30mg/kg和26900.00mg/kg，其中人体需要量较大的4种微量元素含量高于重要中药资源昆虫芫菁科昆虫蛾体中的含量，并且适合于人体日需要量。

Trace the shape of the cusp point so that the needle and the needle trace trace point bulge will form a solid fabric of the question, and may damage or break fabric embroidery needle .

追查尖点形成，使针头和针跟踪跟踪点隆起将形成一个稳固的结构问题，并有可能损害或破坏面料绣花针。

The artificial cultivated one and "Tiepi Fengdou" are similar in the content of ten trace elements, while the content of nine trace elements in protocorm culture was higher than others, and the trace elements in "Tiepi Shihu Capsule" were relatively low.

微量元素含量的比较表明，人工栽培铁皮石斛中10种微量元素含量与铁皮枫斗大致相近，铁皮石斛组织培养物中除Cu之外的其他9种微量元素高于其他石斛材料，而铁皮石斛胶囊中微量元素含量相对较低。

By using AAS and XRF, the contents of Cr, Pb, Mn, As, Se, Hg, Cd, Zn in raw coal, bottom ash and fly ashes are measured quantitatively in a 220 t/h pulverized coal boiler. Factors affecting the distribution of trace elements are investigated, including fly ash diameter, furnace temperature, oxygen content and trace elements' characters. The coefficient of Meij is also improved to more directly show element enrichment in combustion products. Elements may be classified into three groups according to volatility features of trace elements.

采用原子吸收分光光度计和X射线荧光光谱仪，定量测定了电厂煤粉炉中原煤、底渣、飞灰中Cr、Pb、Mn、As、Se、Hg、Cd、Zn等微量元素的含量，分析了飞灰粒径、炉膛温度、炉内含氧量、微量元素自身性质对微量元素赋存、挥发特性的影响，并根据元素的挥发特性将元素进行分类，得出表征微量元素排放特性的3种数值，并与我国和欧盟垃圾焚烧微量元索排放标准相对照。

Yanan, I put you down, locating belief trace golden ideals trace warmth trace beautiful spring, bright search, search fiery red sun!

啊！延安，我把你追寻，追寻信念，追寻金色的理想，追寻温暖，追寻明媚的春光，追寻光明，追寻火红的太阳！

Yanan, I put you down, locating belief trace golden ideals trace warmth trace beautiful spring, bright search , search fiery red sun!

延安，我把你追寻，追寻信念，追寻金色的理想，追寻温暖，追寻明媚的春光，追寻光明，追寻火红的太阳！

Yunnan Tobacco Research Institute, Yuxi 653100Abstract : In order to investigate the effect of medium and trace elements, organic fertilizer on appearance and internal qualities of sun-cured tobacco, search after some efficient ways to improve the qualities, by adding organic fertilizer in basal dressing and spraying trace elements on leaf surface, the results showed that both organic and medium or trace fertilizer having the effect of increasing output value and yield. Among the experimental treatments, magnesium fertilizer and manure plus rape cake showed the most.

为研究中微肥和有机肥对红土晒烟外观和内在品质的影响，探索提高和改善红土晒烟品质的有效途径，试验在基肥中加入有机肥，和大田生长期在叶面喷施中微量元素肥料，结果表明：施用有机肥的处理与对照相比，产量增加7.3%~20.9%，产值增加8.8%~25.3%，以厩肥＋菜籽饼处理的效果最好；四个喷施微肥的处理其产量和产值均超过了喷清水的对照，其中产量增加6.7%~15.6%，产值增加6.8%~20.5%，以喷施镁肥的增幅最大。

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。