recursiveness

简明释义

英[rɪˈkɜːsɪvnəs]美[rɪˈkɜrsɪvənəs]

n. [数] 递归性

英英释义

单词用法

同义词

反义词

例句

1.Notice that this version even makes use of recursiveness in itself, calling itself twice, once to sort the left-hand side of the list, and once again to sort the right-hand side of the list.

注意，此版本甚至可以在循环自身中使用递归，两次调用循环本身，一次用于对列表左手边的内容进行排序，另一次对列表右手边的内容进行排序。

2.Notice that this version even makes use of recursiveness in itself, calling itself twice, once to sort the left-hand side of the list, and once again to sort the right-hand side of the list.

注意，此版本甚至可以在循环自身中使用递归，两次调用循环本身，一次用于对列表左手边的内容进行排序，另一次对列表右手边的内容进行排序。

3.Finally, the author argues that the rootstock of recursiveness of language be that the recursive structure of the cosmos and the recursive structure of language are in a holographic state.

语言递归性的根源是世界(宇宙)的递归结构与语言的递归结构处于全息状态之中。

4.The theorem that the language set distinguished deterministic finite automaton is a recursively enumerable set was proved, and then, the recursiveness of regular language was analyzed.

从正则语言识别的角度证明了正则语言的识别系统确定有限自动机所识别的语言集是一个递归可枚举集，同时讨论了正则语言的可递归性。

5.Language recursiveness, one of the essential properties of language, can be defined as reiteration or embedding of the same structural elements in language.

语言递归性是语言的一种根本属性，它是指语言中相同结构成分的重复或相套。

6.By creativity we mean language is resourceful because of its duality and its recursiveness.

有考研题让论述：语言的创造性是因为语言具有双重性和任意性。

7.Recursiveness is an ordinary power mechanism existing in the process of people's thinking.

递归性是人的思维过程中普遍存在的动力机制。

8.The concept of recursiveness is essential in computer science, particularly in algorithms that call themselves.

在计算机科学中，递归性的概念至关重要，特别是在调用自身的算法中。

9.Understanding recursiveness can help programmers write more efficient code.

理解递归性可以帮助程序员编写更高效的代码。

10.In mathematics, recursiveness is often used to define sequences and functions.

在数学中，递归性通常用于定义序列和函数。

11.The recursiveness of the problem made it challenging to find a straightforward solution.

问题的递归性使得找到简单的解决方案变得具有挑战性。

12.Many programming languages support recursiveness, allowing for elegant solutions to complex problems.

许多编程语言支持递归性，允许对复杂问题提供优雅的解决方案。

作文

Recursiveness is a concept that permeates various fields, from mathematics to computer science and even philosophy. At its core, recursiveness (递归性) refers to the process of defining a function or a sequence in terms of itself. This self-referential nature allows for complex structures and solutions to emerge from simple rules. In mathematics, for instance, the Fibonacci sequence is a classic example of recursiveness (递归性). Each number in the sequence is the sum of the two preceding ones, which creates an infinite series that can be generated by a simple recursive formula. In computer science, recursiveness (递归性) is essential for solving problems that can be broken down into smaller, more manageable subproblems. For example, the quicksort algorithm utilizes recursiveness (递归性) to sort an array by partitioning it into smaller arrays and then recursively sorting those arrays. This method showcases the efficiency and elegance that recursiveness (递归性) brings to problem-solving. Moreover, the concept of recursiveness (递归性) extends beyond technical fields into philosophical discussions. In philosophy, one might explore the idea of self-reference and how it shapes our understanding of identity and existence. The famous paradoxes, such as the liar paradox, illustrate how recursiveness (递归性) can lead to intriguing and sometimes perplexing conclusions about truth and language. The beauty of recursiveness (递归性) lies in its ability to create intricate patterns and relationships. In art and literature, we often see recursive themes where a story reflects upon itself, creating layers of meaning. For instance, in Jorge Luis Borges’s stories, he often employs recursiveness (递归性) to challenge the reader’s perception of reality and narrative structure. In everyday life, we encounter recursiveness (递归性) in various forms, from the routines we establish to the habits we form. Our actions often reflect a recursive pattern, where past experiences inform our present decisions, and those decisions, in turn, shape our future. Understanding this aspect of recursiveness (递归性) can help us recognize the cyclical nature of our lives and the importance of learning from our experiences. In conclusion, recursiveness (递归性) is a multifaceted concept that plays a crucial role in numerous disciplines. Its implications stretch from the mathematical elegance of sequences to the philosophical inquiries into self-reference and identity. By embracing recursiveness (递归性), we can unlock deeper understandings of complex systems, whether they are numerical, computational, or existential. As we navigate through life's challenges, recognizing the power of recursiveness (递归性) can empower us to approach problems with a fresh perspective, allowing for innovative solutions and personal growth.

递归性是一个渗透于多个领域的概念，从数学到计算机科学甚至哲学。它的核心在于，recursiveness（递归性）指的是用自身来定义一个函数或序列的过程。这种自我引用的特性使得复杂的结构和解决方案可以从简单的规则中产生。例如，在数学中，斐波那契数列便是<递归性>的经典例子。数列中的每个数字都是前两个数字之和，这创造了一个可以通过简单的递归公式生成的无限序列。 在计算机科学中，recursiveness（递归性）对于解决可以分解为更小、更易管理的子问题的问题至关重要。例如，快速排序算法利用recursiveness（递归性）通过将数组划分成更小的数组，然后递归地对这些数组进行排序。这种方法展示了recursiveness（递归性）在解决问题时所带来的效率和优雅。 此外，recursiveness（递归性）的概念不仅限于技术领域，还扩展到哲学讨论。在哲学中，人们可能会探讨自我引用的概念，以及它如何塑造我们对身份和存在的理解。著名的悖论，例如说谎者悖论，说明了recursiveness（递归性）如何导致关于真理和语言的有趣且有时令人困惑的结论。 recursiveness（递归性）的美在于它能够创造出复杂的模式和关系。在艺术和文学中，我们常常看到递归主题，其中一个故事反映自身，创造出多层次的意义。例如，在豪尔赫·路易斯·博尔赫斯的故事中，他常常运用recursiveness（递归性）来挑战读者对现实和叙事结构的感知。 在日常生活中，我们以各种形式遇到recursiveness（递归性），从我们建立的日常习惯到我们形成的习惯。我们的行为往往反映出递归模式，过去的经历影响我们现在的决定，而这些决定又反过来塑造我们的未来。理解recursiveness（递归性）的这一方面，可以帮助我们认识到生活的循环性质以及从经验中学习的重要性。 总之，recursiveness（递归性）是一个多面的概念，在众多学科中发挥着关键作用。它的影响从数值的数学优雅到对自我引用和身份的哲学探讨。通过拥抱recursiveness（递归性），我们可以解锁对复杂系统的更深刻理解，无论它们是数值的、计算的还是存在的。当我们应对生活中的挑战时，认识到recursiveness（递归性）的力量可以使我们以新的视角看待问题，从而实现创新的解决方案和个人成长。