functor

简明释义

英[ˈfʌŋktə(r)]美[ˈfʌŋktər]

n. [数] 函子（起作用的东西）；功能词；[自] 功能元件

英英释义

单词用法

同义词

反义词

例句

1.A theorem on natural equivalences between a right exact additive functor F which preserves sums and some tensor functor ?B over functor categories is given.

给出了函子范畴中任意右正合保直和可加函子F与张量函子B自然等价的一个定理。

2.When you are designing a functor, it is important to understand the lifetime of these functors.

当你设计一个函，重要的是要了解这些函子的寿命。

3.It is showed that the loop space functor and the suspension functor preserve the properties of homotopy regular. And a series of homotopy equivalence Spaces are constructed.

证明了闭路函子和同纬函子保持同伦正则性，同时构造出了一系列同伦等价的空间。

4.In this paper we define the group inverse of functor and necessary and sufficient conditions for its existence are also given.

定义了函子的群逆，给出了函子的群逆存在的充要条件。

5.Because these patterns occur so frequently, we've developed a class entitled Functor to encapsulate them as static Closures.

因为这些模式发生得如此频繁，所以我们开发了一个叫做Functor的类，把它们封装成static Closure。

6.The interaction idea of quantum human body, the functor of quantum human body state evolving with time and the outspread of tiny disturbing theory of quantum human body were discussed in this paper.

本文主要讨论了量子人体的相互作用表象，量子人体态随时间演化的算符和量子人体的微扰论展开；

7.The concept of a functor allows us to apply a function to values wrapped in a context.

概念上的 functor 使我们能够将函数应用于包装在上下文中的值。

8.In category theory, a functor maps between categories while preserving structure.

在范畴理论中，functor 在保持结构的同时在范畴之间进行映射。

9.To understand functors, one must first grasp the idea of mapping functions.

要理解 functor，首先必须掌握函数映射的概念。

10.JavaScript's Array.prototype.map is an example of a functor in action.

JavaScript 的 Array.prototype.map 是一个实际使用的 functor 示例。

11.In functional programming, a functor is a type that can be mapped over.

在函数式编程中，functor 是一种可以进行映射的类型。

作文

In the realm of computer science, particularly in functional programming, the term functor refers to a type of mapping between categories that allows for the application of functions. A functor can be thought of as a container that holds values and provides a way to apply functions to those values while maintaining the structure of the container. This concept is essential for understanding how data can be transformed and manipulated in a functional programming environment.To illustrate the concept of a functor, consider a simple example involving a list of numbers. Suppose we have a list: [1, 2, 3, 4]. If we want to double each number in this list, we can apply a function that multiplies each element by 2. In functional programming, we would use a functor to perform this operation elegantly. The functor allows us to apply the doubling function to each element without having to explicitly iterate over the list ourselves.The beauty of functors lies in their ability to abstract away the details of iteration and focus on the transformation of data. This abstraction not only simplifies code but also enhances readability and maintainability. When we think about functors, we are essentially thinking about how to manage and manipulate data in a more efficient manner.Furthermore, functors are not limited to lists; they can be applied to various data structures such as trees, options, or even more complex types. For instance, in the case of a tree structure, a functor can allow us to apply a function to every node in the tree, transforming the entire structure while preserving its hierarchy. This versatility makes functors a powerful tool in the functional programmer's toolkit.Moreover, understanding functors opens the door to more advanced concepts in functional programming, such as monads and applicative functors. These concepts build upon the foundation that functors provide, allowing for even more complex data manipulations and control flows. As programmers become more familiar with functors, they can leverage these concepts to write more expressive and concise code.In conclusion, the concept of a functor is fundamental in the world of functional programming. It represents a powerful abstraction that enables developers to apply functions to data structures seamlessly. By mastering functors, programmers can enhance their coding practices, making their code more efficient and easier to understand. As the field of computer science continues to evolve, the importance of functors will undoubtedly remain significant, influencing how we approach problem-solving in programming and data manipulation.

在计算机科学的领域，特别是在函数式编程中，术语functor指的是类别之间的一种映射，允许函数的应用。functor可以被视为一个容器，它保存值并提供一种将函数应用于这些值的方法，同时保持容器的结构。这个概念对于理解如何在函数式编程环境中转换和操纵数据至关重要。为了说明functor的概念，考虑一个简单的例子，涉及一个数字列表。假设我们有一个列表：[1, 2, 3, 4]。如果我们想要将列表中的每个数字加倍，我们可以应用一个将每个元素乘以2的函数。在函数式编程中，我们会优雅地使用functor来执行这个操作。functor允许我们将加倍函数应用于每个元素，而不必显式地迭代列表。functor的美在于它们能够抽象出迭代的细节，专注于数据的转换。这种抽象不仅简化了代码，还增强了可读性和可维护性。当我们思考functors时，我们本质上是在思考如何以更高效的方式管理和操纵数据。此外，functors并不限于列表；它们可以应用于各种数据结构，如树、选项甚至更复杂的类型。例如，在树结构的情况下，functor可以让我们将一个函数应用于树中的每个节点，转换整个结构，同时保留其层次结构。这种多功能性使得functors成为函数式程序员工具箱中的强大工具。此外，理解functors为函数式编程中的更高级概念打开了大门，例如单子和应用型functor。这些概念建立在functor提供的基础之上，允许更复杂的数据操作和控制流。随着程序员对functors的熟悉，他们可以利用这些概念编写更具表现力和简洁的代码。总之，functor的概念在函数式编程的世界中是基础性的。它代表了一种强大的抽象，使开发人员能够无缝地将函数应用于数据结构。通过掌握functors，程序员可以提升他们的编码实践，使他们的代码更高效、更易于理解。随着计算机科学领域的不断发展，functors的重要性无疑将继续显著影响我们在编程和数据操作中的问题解决方法。