查询词典 fractional replication

As to the higher Landau levels, we conducted systematically calculations for the various possible ground states, such as the Laughlin liquid, the composite fermion liquid, the Wigner crystal, and the charge density wave . We find that when the Landau level index N≥2, the fractional quantum Hall states are ruled out and the CDW and Wigner crystal dominate. An exception occurs at around v=4+1/6, where the composite fermion liquid may be more energetically preferable than the CDW and the Wigner crystal states. This result provides a new explanation to the so-called re-entrant integral quantum Hall effect. In fact, the feature of isotropically metallic property at this filling is discerned from the experiment.

对于高朗道能级，我们对各种可能的基态，比如量子霍耳态，复合费米子流体，Wigner晶体，电荷密度波等，做了系统的计算，我们发现，当朗道能级N≥2时，分数量子霍耳态不再出现，Wigner晶体和电荷密度波将占主导地位，一个例外就是在ν=4+1/6附近，复合费米子流体可能出现在从Wigner晶体到电荷密度波晶体之间，该结果为上述的重进入整数量子霍耳效应现象提出了一种新的解释。

Obesity is associated with an increase in the fractional contribution of gluconeogenesis to glucose production.

肥胖症中，葡萄糖异生在葡萄糖生成中的巨大作用与整个身体增加的蛋白质分解代谢有关

The analytic expression of the fractional Fourier transform based on cylindrical coordinates was derived.

推导出分数傅里叶变换基于柱坐标系下的解析表达式，应用此解析表达式对空心高斯光束进行分析，得到其分数傅里叶变换的解析表达式。

A fractional monetary unit of several countries: France and Algeria and Belgium and Burundi and Cameroon and Chad and the Congo and Gabon and Haiti and the Ivory Coast and Luxembourg and Mali and Morocco and Niger and Rwanda and Senegal and Switzerland and Togo and Upper Volta.

许多国家的辅助货币单位；法国阿尔及利亚比利时布隆迪喀麦隆乍得刚果加蓬海地象牙海岸卢森堡马里摩洛哥尼日尔卢旺达塞内加尔瑞士多哥等国家。

We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control.

我们研究了含有状态和梯度的非线性的项抛物系统的能控性，含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性，带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

The second part is the controllability of parabolic equation .We study on the controllability of parabolic systems with a nonlinear term involving the state and the gradient ,the null-controllability property of a 1-d parabolic equation involving a fractional power of the Laplace operator ,null controllability of some systems of two parabolic equations with one control force ,and exact controllability of the parabolic system with bilinear control .

第二部分写的是，抛物方程的能控性，我们研究了含有状态和梯度的非线性的项抛物系统的能控性，含有拉普拉斯算子的分数阶的1-d抛物方程的零能控性，带有一个强控制的两个抛物方程的一些系统的零能控性和具有双线性控制抛物系统的精确能控性。

According to our present broadcasting situation,the thesis proposes using new technology to update and reform the present HFC. It also suggests broadcasting using self-advantage and arranging EPON in order to win the supermarket.

论文从我国广电的现状出发，结合实际，积极倡导采用新技术更新、改造我国现有的HFC网络；倡导广电现阶段利用自身优势，部署EPON网络来赢取市场。

A new general kinetic equation was derived in which the effect of the removal of condensation water was taken into account completely, and was applied to the polyesterification kinetic study of AA/HPHP and AA/NPG. It was found that the reaction order of self-catalyzed polyesterification was not constant. For these polyesterifications, the reaction order was 2.5 at a low temperature, while 3.0 at a high temperature.

考虑缩合水的排除对反应体系的影响，用体积浓度单位推导出一个新的聚酯反应总包动力学方程，并应用到AA/HPHP和AA/NPG两个聚酯化反应的动力学研究中，研究发现，自催化聚酯反应的反应级数并不是固定值，对于AA/HPHP和AA/NPG两个聚酯化反应而言，低温时反应级数为2.5，高温时反应级数为3.0。