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functors

/ˈfʌŋktərz/

Meanings
noun

虚词, 功能词。

(grammar) A function word.

Examples :

"Prepositions are examples of functors in English grammar. "
在英语语法中，介词是虚词或功能词的例子。
grammar language linguistics
noun

函子，仿函子

A category homomorphism; a morphism from a source category to a target category which maps objects to objects and arrows to arrows, in such a way as to preserve domains and codomains (of the arrows) as well as composition and identities.

Examples :

"In the category of categories, mathbb{CAT}, the objects are categories and the morphisms are functors."
在范畴的范畴mathbb{CAT}中，对象是范畴，态射是函子（仿函子）。
math logic computing technical theory

Related Words

Illustration categories

categories noun

/ˈkætɪɡ(ə)ɹiz/ /ˈkætəˌɡɔɹiz/

类别，分类。

"The library organizes books into different categories, such as fiction, non-fiction, and children's books. "

图书馆将书籍按照不同的类别进行整理，例如小说、非小说和儿童读物。

Illustration identities

identities noun

/aɪˈdɛntɪtiz/ /ɪˈdɛntɪtiz/

身份，同一性

"The police were investigating if the fingerprints found at both crime scenes could confirm the identities of the suspects. "

警方正在调查在两个犯罪现场发现的指纹是否能确认嫌疑人的身份是否一致。

Illustration homomorphism

homomorphism noun

/ˌhoʊməˈmɔːrfɪzəm/ /ˌhɑːməˈmɔːrfɪzəm/

同态，同态映射

"A field homomorphism is a map from one field to another one which is additive, multiplicative, zero-preserving, and unit-preserving."

一个域同态是从一个域到另一个域的映射，它保持加法、乘法，并分别保持零元素和单位元素不变。

Illustration codomains

codomains noun

/koʊdoʊˈmeɪnz/

值域，到达域。

"In Ms. Johnson's math class, the codomains of functions are always written on the board next to the domains, so students know the possible output values. "

在约翰逊老师的数学课上，函数的到达域（值域）总是写在黑板上，和定义域放在一起，这样学生就知道可能的输出值是什么了。

Illustration operations

operations noun

/ˌɒpəˈɹeɪʃənz/ /ˌɑpəˈɹeɪʃənz/

运作，操作。

"The washing machine's operations include filling with water, washing, rinsing, and spinning. "

这台洗衣机的运作包括注水、洗涤、漂洗和甩干。

Illustration different

different noun

/ˈdɪf.(ə)ɹ.ənt/

差别，差异。

"My family has a different ideal for my future than I do. "

对于我的未来，我的家人和我的理想存在差别。

Illustration examples

examples noun

/ɪɡˈzɑːmpl̩z/ /ɪɡˈzæmpl̩z/

例子, 实例

"Here are some examples of different types of birds: robins, eagles, and sparrows. "

这里有一些不同种类鸟类的例子：知更鸟，老鹰和麻雀。

Illustration function

function noun

/ˈfʌŋ(k)ʃən/ /ˈfʌŋkʃən/

功能，作用.

"The function of a school lunch is to provide students with nutrition. "

学校午餐的功能是为学生提供营养。

Illustration arithmetic

arithmetic noun

/əˈrɪθmətɪk/ /ˈærɪθmətɪk/

算术，计算。

"Learning arithmetic helps children understand basic math concepts like counting and calculating. "

学习算术可以帮助孩子们理解数数和计算等基本的数学概念。

Illustration calculator

calculator noun

/kæl.kjə.leɪ.təɹ/

计算器，计算机。

"My daughter used a calculator to figure out how much change she would get from the store. "

我女儿用计算器算出了她能从商店找回多少零钱。

Illustration prepositions

prepositions noun

/ˌpɹɛ.poʊ.ˈzɪ.ʃənz/

介词，前置词。

"Understanding prepositions, like "on," "in," "at," and "to," is crucial for building grammatically correct sentences. "

理解介词，比如“on”、“in”、“at”和“to”，对于构建语法正确的句子至关重要。

Illustration composition

composition noun

/ˌkɒmpəˈzɪʃən/

组成，构成

"The composition of the band's new song involved several different instruments. "

这首乐队新歌的组成运用了多种不同的乐器。