permutable

简明释义

英[pəˈmjuːtəbl]美[pərˈmjʊtəbl]

adj. 可排列的；能交换的

英英释义

单词用法

同义词

反义词

例句

1.The purpose of the paper is to give a review about X-permutable subgroups and some their applications.

对X置换子群和它们的一些应用进行了综合评述，介绍了一系列相关的重要成果和一些未解决的问题。

2.Finite groups with completely conditional permutable minimal subgroups;

极小子群在有限群的研究中占据着重要的地位。

3.The purpose of the paper is to give a review about X-permutable subgroups and some their applications.

对X置换子群和它们的一些应用进行了综合评述，介绍了一系列相关的重要成果和一些未解决的问题。

4.The seating arrangement at the event is permutable, so guests can easily switch places if they wish.

活动的座位安排是可互换的，因此客人如果愿意可以轻松换位置。

5.In programming, some functions are permutable, enabling developers to rearrange parameters flexibly.

在编程中，某些函数是可互换的，使开发者能够灵活地重新排列参数。

6.The components of the recipe are permutable, allowing chefs to experiment with different flavors.

食谱的成分是可互换的，允许厨师尝试不同的风味。

7.The colors in the design are permutable, allowing for various combinations to suit different tastes.

设计中的颜色是可互换的，允许各种组合以适应不同的口味。

8.In mathematics, certain variables are permutable, meaning their order can be changed without affecting the outcome.

在数学中，某些变量是可互换的，这意味着它们的顺序可以改变而不影响结果。

作文

In the realm of mathematics and computer science, the concept of being permutable is crucial for understanding various algorithms and data structures. The term permutable refers to the ability to rearrange elements within a set without changing the overall nature or identity of that set. This property allows for flexibility and adaptability in problem-solving, making it a significant topic of discussion among mathematicians and programmers alike. For instance, consider a simple example of a set of numbers: {1, 2, 3}. The arrangements of these numbers can be varied in numerous ways, such as {1, 3, 2} or {2, 1, 3}. Each of these arrangements is a permutation of the original set, demonstrating that the elements are indeed permutable. This property is not just limited to numbers; words can also be permutable. Anagrams are a perfect illustration of this idea. For example, the words 'listen' and 'silent' are composed of the same letters and can be rearranged into one another. This showcases the linguistic aspect of permutable where the meaning remains intact despite the change in order. The significance of permutable elements extends beyond simple examples. In computer science, algorithms that rely on sorting and searching often exploit the permutable nature of data. For instance, when dealing with a database of records, the ability to rearrange the entries based on specific criteria (like alphabetical order or numerical value) is essential for efficient data retrieval. Algorithms such as quicksort or mergesort utilize the permutable property of arrays to organize data effectively. Moreover, in the field of cryptography, the permutable nature of keys plays a vital role in securing information. Cryptographic algorithms often involve rearranging bits of data to create a secure encryption method. The permutable property ensures that even if an intruder accesses some parts of the data, they cannot easily decipher the entire message without knowing the exact arrangement. In everyday life, we encounter permutable scenarios as well. Consider organizing a bookshelf; the books can be arranged by author, genre, or even color. Each arrangement serves a different purpose and highlights the versatility of permutable items. This flexibility allows individuals to optimize their environments according to their needs and preferences. In conclusion, the concept of permutable elements permeates various fields, from mathematics and computer science to linguistics and daily life. Understanding the implications of permutable properties enhances our ability to solve problems creatively and efficiently. Whether it is through the rearrangement of numbers, letters, or physical objects, the ability to manipulate and reorganize elements is a fundamental aspect of both theoretical and practical applications. As we continue to explore the world around us, recognizing the permutable nature of things will undoubtedly lead to greater insights and innovations.

在数学和计算机科学领域，可置换的概念对于理解各种算法和数据结构至关重要。术语可置换的指的是在不改变集合的整体性质或身份的情况下重新排列集合内元素的能力。这一特性使得在解决问题时具备灵活性和适应性，因此成为数学家和程序员讨论的重要话题。例如，考虑一个简单的数字集合：{1, 2, 3}。这些数字的排列可以以多种方式变化，例如{1, 3, 2}或{2, 1, 3}。每一种排列都是原始集合的一个排列，展示了这些元素确实是可置换的。这一特性不仅限于数字；单词也可以是可置换的。字谜是这一思想的完美例证。例如，单词'listen'和'silent'由相同的字母组成，可以互相重新排列。这展示了可置换的语言学方面，即尽管顺序发生变化，但意义依然保持不变。可置换的元素的重要性超越了简单的例子。在计算机科学中，依赖于排序和搜索的算法通常利用数据的可置换的特性。例如，在处理记录数据库时，根据特定标准（如按字母顺序或数值）重新排列条目的能力对于高效的数据检索至关重要。像快速排序或归并排序这样的算法利用数组的可置换的属性来有效地组织数据。此外，在密码学领域，密钥的可置换的特性在保护信息方面发挥着至关重要的作用。密码算法通常涉及对数据位的重新排列，以创建安全的加密方法。可置换的特性确保即使入侵者访问了数据的某些部分，他们也无法轻易解读整个消息，而不知道确切的排列方式。在日常生活中，我们也会遇到可置换的场景。考虑一下整理书架；书籍可以按作者、类型或甚至颜色排列。每种排列都有不同的目的，突显了可置换的项目的多样性。这种灵活性使个人能够根据他们的需求和偏好优化环境。总之，可置换的元素的概念渗透到从数学和计算机科学到语言学和日常生活的各个领域。理解可置换的属性的含义增强了我们创造性和高效地解决问题的能力。无论是通过重新排列数字、字母还是物理对象，操控和重新组织元素的能力都是理论和实践应用的基本方面。随着我们继续探索周围的世界，认识到事物的可置换的特性无疑会带来更大的洞察和创新。