centralizer

简明释义

[ˈsentrəlaɪzə(r)][ˈsentrəlaɪzər]

n. 扶正器;定心夹具;[数] 中心化子;定中心器

英英释义

A centralizer is a device used in various engineering and construction applications to maintain the position of a pipe, cable, or other components within a specified alignment.

中央器是一种用于各种工程和建筑应用的设备,用于保持管道、电缆或其他组件在指定对齐位置中的位置。

In mathematics, particularly in group theory, a centralizer refers to the set of elements in a group that commute with a given element.

在数学中,特别是在群论中,中央化子指的是在一个群中与给定元素交换的元素集合。

单词用法

centralizer of a set

一个集合的中心化器

centralizer in algebra

代数中的中心化器

centralizer of an element

一个元素的中心化器

the centralizer acts on

中心化器作用于

find the centralizer

寻找中心化器

the centralizer is defined as

中心化器被定义为

同义词

organizer

组织者

The event organizer ensured everything ran smoothly.

活动组织者确保一切顺利进行。

coordinator

协调者

The project coordinator managed the team effectively.

项目协调者有效地管理团队。

consolidator

整合者

The consolidator helped merge the different departments.

整合者帮助合并不同的部门。

反义词

decentralizer

去中心化器

The decentralizer aims to distribute power among various entities.

去中心化器旨在将权力分配给各个实体。

disperser

分散器

A disperser can help in spreading resources more evenly across different areas.

分散器可以帮助更均匀地分配资源到不同区域。

例句

1.This proves one half of the double centralizer properties. Another half was obtained by s.

这证明了一半的双重中心化子性质,另一半已由S。

2.I smiled, small SanNeng centralizer, the devil angel's wings.

我笑了,小三能扶正,魔鬼都能长出天使的翅膀。

3.Many nations have issued the norms of computing centralizer intervals.

很多国家都颁布了套管扶正器间距计算规范。

4.On the basis of the theoretical and experimental research, the preventive measures are discussed such as installing tubing anchor, rotary device of rod string and centralizer.

在理论分析和试验研究的基础上,针对井下的杆管偏磨问题,对安装油管锚定装置、旋转抽油杆装置和抽油杆扶正器这三种预防措施进行了探讨。

5.The axial load and centralizer spacing from the bottom to the top are calculated by using the mechanical analysis method and the well trajectory data.

采用力学分析的方法,结合井眼轨迹数据,由下到上逐跨计算了抽油杆柱的扶正器间距和轴向力。

6.The dynamic strength of rod string and the mount position of centralizer were calculated, according to the acquired deformation of rod string and its impact contact force with tube in the time domain.

根据求得的时域内抽油杆柱受力变形值以及与油管柱碰撞接触力,计算了抽油杆柱动强度和扶正器安放位置。

7.This paper derives the equation, describes the use of centralizer assembly taking the well Zhong-48 as an example and presents the attentions for appling this method.

本文推导了计算公式,并以中48井为例,叙述了扶正器组合的使用,提出了采用此法应注意的事项。

8.Made up of oil expanding type or water expanding type expandable elastomer material, mechanical pipe string, centralizer and etc.

由油胀式或水胀式可膨胀弹性体材料与机械管柱、扶正器等构成。

9.Furthermore, since the drugs attack power and extreme damage justice, it must strictly adhere to the dose used, centralizer with drugs or with the application.

此外,由于本类药物攻伐力强,极易损伤正气,故使用时必须严格掌握其剂量,或与扶正类药物配合应用。

10.In cementing operations, a centralizer is crucial for achieving an even distribution of cement.

在水泥作业中,中央器对于实现水泥的均匀分布至关重要。

11.The centralizer was designed to fit various sizes of pipes for versatility.

中央器设计用于适应各种尺寸的管道,以提高灵活性。

12.The engineer installed a centralizer to ensure the pipe remained in the center of the borehole.

工程师安装了一个中央器以确保管道保持在钻孔的中心。

13.Using a centralizer helps to prevent casing deformation during the drilling process.

使用中央器有助于防止在钻井过程中套管变形。

14.He explained that the role of a centralizer is to maintain proper alignment of the casing.

他解释说,中央器的作用是保持套管的正确对齐。

作文

In the world of mathematics and group theory, the concept of a centralizer plays a crucial role in understanding the structure of groups. A centralizer can be defined as a subset of a group that consists of all elements that commute with a given element. This means that if you take any element from the centralizer, it will satisfy the property of commuting with the chosen element. This idea is not only significant in abstract algebra but also has applications in various fields such as physics and computer science.To illustrate the importance of the centralizer, consider a simple example involving the symmetric group, which is the group of all permutations of a finite set. If we take a specific permutation and look at its centralizer, we can gain insights into how this permutation interacts with others in the group. The size of the centralizer can reveal information about the structure of the group itself, including whether the permutation is part of a larger symmetry or if it behaves independently.Furthermore, the concept of a centralizer extends beyond pure mathematics. In physics, for instance, the centralizer can be related to symmetries in quantum mechanics. When studying quantum systems, understanding the symmetries can lead to simplifications in calculations and predictions about the system's behavior. By identifying the centralizer of certain operators, physicists can better comprehend the underlying principles governing the system.In computer science, algorithms often rely on group theory and the concept of centralizers to optimize processes. For example, when developing encryption algorithms, knowing the centralizer of a particular transformation can help ensure that the encryption is robust against certain types of attacks. By analyzing the structure of the centralizer, computer scientists can create more secure systems that protect sensitive information.Moreover, the study of centralizers encourages critical thinking and problem-solving skills. Students learning about group theory are often tasked with exploring various properties of centralizers, leading them to develop a deeper understanding of mathematical concepts. This exploration fosters a mindset that is beneficial not only in mathematics but also in other disciplines where logical reasoning and analytical thinking are essential.In conclusion, the notion of a centralizer is more than just an abstract concept confined to the realm of mathematics. It serves as a bridge connecting various fields, enhancing our understanding of symmetries and interactions within groups. Whether in the context of algebra, physics, or computer science, the centralizer remains a vital tool for researchers and students alike. By delving into the properties and applications of centralizers, we not only enrich our knowledge of mathematics but also equip ourselves with valuable skills applicable in numerous real-world situations.

在数学和群论的世界中,centralizer 概念在理解群的结构方面起着至关重要的作用。centralizer 可以定义为一个群的子集,包含所有与给定元素交换的元素。这意味着如果你从 centralizer 中取出任何元素,它将满足与所选元素交换的属性。这个想法不仅在抽象代数中具有重要意义,而且在物理学和计算机科学等多个领域都有应用。为了说明 centralizer 的重要性,考虑一个涉及对称群的简单例子,对称群是有限集合的所有排列的群。如果我们取一个特定的排列并查看它的 centralizer,我们可以深入了解该排列如何与群中的其他元素相互作用。centralizer 的大小可以揭示关于群自身结构的信息,包括该排列是否是更大对称性的一部分,或者它是否独立行为。此外,centralizer 的概念超越了纯数学。在物理学中,例如,centralizer 可以与量子力学中的对称性相关。当研究量子系统时,理解对称性可以简化计算和预测系统行为。通过识别某些算子的 centralizer,物理学家可以更好地理解支配系统的基本原理。在计算机科学中,算法通常依赖于群论和 centralizer 的概念来优化过程。例如,在开发加密算法时,了解特定变换的 centralizer 可以帮助确保加密在某些类型攻击下的强度。通过分析 centralizer 的结构,计算机科学家可以创建更安全的系统,以保护敏感信息。此外,研究 centralizers 鼓励批判性思维和解决问题的能力。学习群论的学生通常被要求探索 centralizers 的各种属性,从而使他们对数学概念有更深入的理解。这种探索培养了一种心态,这在数学之外的其他学科中也是逻辑推理和分析思维必不可少的。总之,centralizer 的概念不仅仅是局限于数学领域的抽象概念。它充当了连接各个领域的桥梁,增强了我们对群中对称性和相互作用的理解。无论是在代数、物理学还是计算机科学的背景下,centralizer 仍然是研究人员和学生的重要工具。通过深入探讨 centralizers 的属性和应用,我们不仅丰富了对数学的知识,而且还为自己提供了在众多现实世界情境中适用的宝贵技能。