查询词典 multiplication operator

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。

This generator is based on acceptance-rejection technique, however, in theory, when the number of rectangle preponderates over 255, the acceptance probability is higher than 99.1%, with 98% of the time the required random variable is produced simply by doing a multiplication.

该算法基于接受－拒绝抽样技术，理论分析表明当矩形数大于255个时，该算法的抽样效率大于99.1%，而且98%以上的时间内仅需进行一次简单的乘法运算。

The dominating physiology function of acidifier is to regulate the pH value in stomach of animal, create an appropriate circumstance for zymogen activation and restraining multiplication of pathogenic microorganism in enteron, alleviate infection of these pathogenic microorganism.

酸化剂在畜牧生产中应用日益广泛，其生理功能主要有调节动物消化道内pH，为消化酶的激活创造适宜的环境和抑制消化道有害微生物增殖，减少病原菌感染。

The results indicated that albiflorin and paeoniflorin could improve activity of macrophage of mice, accelerate lympholyte multiplication,increase amount of active lympholyte,enhance immunity and confront with Cytoxan.

结果表明芍药双苷可恢复小鼠巨噬细胞吞噬功能，促进小鼠脾细胞诱导淋巴细胞增殖，增加具有活性淋巴细胞的数量，提高机体免疫力，并对环磷酰胺有一定拮抗作用。

This is followed by the first adder which sums the cross products of the complex multiplication.

其次是它的第一个加法款项跨产品的复杂的乘法。

Smoking cigarettes adds to the Computer Desk Computer manufacturer computer mouse Computer Computerized collar knitter machine Conduit Bodies construction board Container Bag Control Arm Cooking Thermometer general levels of air pollution as well as damaging our health.

吸烟不仅对健康有害，而且增加空气污染程度。香烟雾含有多种有害物质：不仅有致癌化学物质、有某种能阻止氧气进入血液的气体，还有引起血压增高、心速加快的被称为尼古丁的物质。

He is one of my favorite actors.

他是我最喜欢的男演员之一。