bipartition

简明释义

[/ˌbaɪpɑːrˈtɪʃən/][/ˌbaɪpɑːrˈtɪʃən/]

n. 分为两部分;二分裂生殖

英英释义

The division of a set or group into two distinct and non-overlapping subsets.

将一个集合或群体分成两个不同且不重叠的子集。

In mathematics, particularly in graph theory, it refers to the partitioning of a graph's vertices into two disjoint sets.

在数学中,特别是在图论中,它指的是将图的顶点划分为两个不相交的集合。

单词用法

同义词

bisection

二分法

The bisection of the line segment creates two equal parts.

线段的二分法将其分成两部分。

division

分割

The division of resources was necessary for fair distribution.

资源的分割对于公平分配是必要的。

partition

划分

The partition of the room created separate spaces for work and relaxation.

房间的划分为工作和放松创造了独立的空间。

反义词

unification

统一

The unification of the two parties was necessary for a stronger coalition.

两个政党的统一对于更强的联盟是必要的。

integration

整合

Integration of diverse cultures can enrich a society.

多元文化的整合可以丰富一个社会。

例句

1.These results also show that the bipartition theory of light ion transport is an effective theoretical method for investigation of ion reflection from surface of solids.

同时也表明了双群模型有可能成为研究离子在固体表面反射的有效的理论方法。

2.These results also show that the bipartition theory of light ion transport is an effective theoretical method for investigation of ion reflection from surface of solids.

同时也表明了双群模型有可能成为研究离子在固体表面反射的有效的理论方法。

3.Straight forward approximation has been used for the transport calculations of forward particles in the bipartition model of charged particle transport.

在粒子输运双群模型中,引入直向前近似,计算了双群模型中的直向前粒子输运。

4.A complete bipartite graph is a simple bipartite graph with bipartition.

完全偶图是具有二分类的简单偶图。

5.The committee proposed a bipartition of the budget to allocate funds more effectively.

委员会提议对预算进行二分割以更有效地分配资金。

6.In graph theory, bipartition is essential for understanding relationships between two sets of vertices.

在图论中,二分割对于理解两组顶点之间的关系至关重要。

7.The algorithm uses a method of bipartition to divide the data set into two distinct groups.

该算法使用一种二分割的方法将数据集分成两个不同的组。

8.The bipartition of the population allowed researchers to analyze the effects of the treatment on different demographics.

对人群的二分割使研究人员能够分析治疗对不同人群的影响。

9.A successful bipartition of the network can enhance security by isolating sensitive information.

成功的二分割网络可以通过隔离敏感信息来增强安全性。

作文

In the study of mathematics and computer science, the concept of bipartition plays a significant role in various algorithms and data structures. A bipartition refers to the division of a set into two distinct subsets, where each element of the original set belongs to one of the two subsets and no element is shared between them. This concept can be applied in numerous areas, including graph theory, network design, and even social sciences. For instance, in graph theory, a bipartite graph is a special type of graph that can be divided into two disjoint sets of vertices such that every edge connects a vertex in one set to a vertex in the other set. This property makes bipartite graphs particularly useful for modeling relationships in various fields, such as matching problems in job assignments or pairing students with projects.Moreover, the idea of bipartition extends beyond pure mathematics. In computer science, algorithms that utilize bipartition are often employed in clustering and classification tasks. For example, the k-means clustering algorithm can be seen as a process that repeatedly finds a bipartition of data points based on their similarities, ultimately grouping them into clusters. Each iteration aims to minimize the distance between points within the same cluster while maximizing the distance between different clusters.In social sciences, bipartition can help understand group dynamics. Researchers might analyze how a population can be split into two segments based on certain characteristics, such as preferences, behaviors, or demographics. This analysis can provide valuable insights into societal trends and help inform policy decisions. The implications of bipartition are vast and varied, illustrating its importance across disciplines. In a world that often seems polarized, understanding how bipartition works can help us navigate complex relationships and systems. For example, when considering political affiliations, one might explore how voters can be categorized into two main groups based on their ideologies. This division can shed light on voting patterns and influence campaign strategies.Additionally, the process of bipartition is not always straightforward. There can be challenges in determining the criteria for dividing a set, especially in situations where elements do not fit neatly into one category or another. This complexity highlights the need for careful analysis and consideration of the context when applying the concept of bipartition. In conclusion, the term bipartition encapsulates a fundamental concept that is applicable in various fields, from mathematics to social sciences. By understanding how to effectively implement and analyze bipartition, we can gain deeper insights into the structures and relationships that govern our world. Whether it is through the lens of a mathematician, a computer scientist, or a social researcher, the ability to partition sets into two groups opens up a myriad of possibilities for exploration and understanding.

在数学和计算机科学的研究中,bipartition(二分法)的概念在各种算法和数据结构中发挥着重要作用。bipartition指的是将一个集合分为两个不同的子集,其中原始集合的每个元素都属于其中一个子集,并且没有元素在两个子集之间共享。这个概念可以应用于许多领域,包括图论、网络设计,甚至社会科学。例如,在图论中,二部图是一种特殊类型的图,可以被划分为两个不相交的顶点集合,使得每条边连接一个集合中的顶点与另一个集合中的顶点。这一特性使得二部图在建模各种领域的关系时尤为有用,例如工作分配中的匹配问题或学生与项目的配对。此外,bipartition的思想不仅限于纯数学。在计算机科学中,利用bipartition的算法常常用于聚类和分类任务。例如,k均值聚类算法可以被视为一个过程,它通过相似性不断寻找数据点的bipartition,最终将其分组为聚类。每次迭代旨在最小化同一聚类内点之间的距离,同时最大化不同聚类之间的距离。在社会科学中,bipartition可以帮助理解群体动态。研究人员可能会分析如何根据某些特征将一个人群分成两个部分,例如偏好、行为或人口统计信息。这种分析可以提供对社会趋势的宝贵见解,并帮助制定政策决策。bipartition的影响是广泛而多样的,说明了它在各个学科中的重要性。在一个常常显得两极化的世界中,理解bipartition的工作原理可以帮助我们驾驭复杂的关系和系统。例如,在考虑政治倾向时,人们可能会探讨选民如何根据意识形态被分类为两个主要群体。这种划分可以揭示投票模式,并影响竞选策略。此外,bipartition的过程并不总是简单明了。在确定划分集合的标准时,可能会遇到挑战,特别是在元素不干净地适合于一个类别或另一个类别的情况下。这种复杂性强调了在应用bipartition概念时需要仔细分析和考虑上下文的重要性。总之,术语bipartition概括了一个基本概念,该概念适用于多个领域,从数学到社会科学。通过理解如何有效地实施和分析bipartition,我们可以深入洞察支配我们世界的结构和关系。无论是通过数学家的视角、计算机科学家的视角,还是社会研究者的视角,将集合分为两个组的能力为探索和理解打开了无数可能性。