查询词典 addition operator

In this space, we construct two kinds independent phase operators by improving supersymmetric annihilation operator and supersymmetric creation operator, and then obtain their eigenstates.

我们进一步将它推广到用超对称谐振子的产生算符和湮灭算符来构造适用于超对称谐振子的双摸相位空间里的二类独立的相位算符并相应地求出了其归一化的本征态。

Often, the characterizations of such linear preservers imply that they are algebric isomorphisms or algebric anti-isomorphisms, and therefore reveal the connection between the inherent properties of operator algebras and linear maps on itself. This makes one know and understand operator algebras more deeply.

其研究结果表明，在许多情形下，这样的线性映射是代数同态或代数反同态，从而揭示了算子代数的固有性质以及与其上线性映射的联系，使人们进一步加深对算子代数的认识和理解。

There are mainly four innovations in this dissertation. It's the first time that the minimal operator was introduced into martingale theory, and a series of -type inequalities for the minimal operator on martingales and supermartingales are established.

特别地，在证明中新定义了一个算子—几何极小算子，最终利用几何极大算子和极小算子序列的收敛关系以及前面所得的有关极小算子的结果使得本章中有关几何极大算子的结论证明显得简洁明了。

Prof. Long-Ruilin mentioned that if we want to study weighted inequalities for martingales, such as the maximal inequalities, the inequalities for the square operator and so on, the condition imposed on weights are mainly A〓 and S, but we don't know whether this condition is superfluous in all problems we consider. Since the condition can not be weakened for the known operators, now we consider a new operator to discuss its L〓-boundedness, then another problem arises, under what condition can we get it?

龙瑞麟先生曾经提到要讨论关于可测的鞅的极大算子、均方根算子以及条件均方根算子的L〓有界性，或它们之间的〓有界性时，所设的主要条件是A〓与条件S，有了这两个条件在讨论加权问题时基本上没有什么困难，但是要想用更弱的条件来代替它们，即使在古典情况下（此时S条件是自然满足的）也恐怕还不到时候。

Simulated anneal and Tabu are extensively applied in the field, in which, Genetic Algorithms is most general one. In the former study of the optimizing for motor, people often focused on cross operator and variation operator, which was based on the G.A.

在以往的以遗传算法为优化设计主要算法的研究中，偏向于对交叉算子与变异算子进行改进以提高遗传算法的效率，即对遗传算法的本身进行改进，从而产生了很多种类的混合遗传算法。

In order to improve the quality of Laplace operator image segmentation at a high real time capability this paper presented a synchronization dimensional structure filter for Laplace operator.

为了在继承拉普拉斯算子高实时性的前提下提高图像分割质量，设计了一个可与拉普拉斯算子差分计算同步进行滤波工作的空间滤波器。

In this paper, We study the spectral counting function for one dimensional p-Laplace operator. We prove the existence of a two term Weyl-type asymptotic with mixed and periodic boundary-value conditions. This is the generalization of Laplace operator with mixed and periodic boundary-value conditions.

本文研究一维p-Laplace算子谱点的计数函数，在混合边值及周期边值条件下得到一个精确到第二项的Weyl型渐近式，它是Laplace算子在这两种边值条件下的推广。

Cut a big alphabetic string into a series of alphabetic string section and calculate the character figure of every section of character and accumulation addition to gain (length and accumulation addition) team number of corresponding teams. So two big alphabetic strings can be changed into two smaller teams. Second, match two teams (length and accumulation addition) and find matching partners.

该算法是取某个特征字符或特征字符序列做为分割点，把大字符串分割为一系列的字符串段，并计算每一个段的字符数和累加和，得到对组成的数组，这样就把两个大的字符串转换为两个小得多的数组；第二步匹配两个数组，找出匹配项，第三步分别对数组中每一项所对应的字符串片段进行匹配。

The four conditions are as follows: the molten alloy only with the addition of deoxidant during melting; only applying high-density pulse electric current on castings during solidification; compound addition of grain refiner and sodium modifier, and addition of borax r modifier liquid along with applying pulse electric current during melting.

这4种工艺条件分别为：在合金液熔炼过程中，除了加脱氧剂外不做任何处理；凝固过程中单独施加高密度电脉冲；添加晶粒细化剂和钠盐变质剂混合剂，或者添加硼砂变质细化剂，并施加高密度电脉冲。

It was found that the addition of negative charge inducing agent increased the electrostatic level obviously, the addition of a small amount of positive charge inducing agent decreased visibly the electrostatic level, and the addition of inactive liquid charge inducing agent reduced the electrostatic level significantly in the fluidized bed.

实验结果显示负静电剂的加入，使得整床的静电水平显著升高；正静电引发剂的少量加入，流化床内的静电水平有明显降低；非活泼液体静电引发剂的注入，流化床内的静电水平显著下降。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。