What is the translation of " FUNCTORS " in Chinese?

• 函子
• functors

Examples of using Functors in English and their translations into Chinese

We have two functors.
假如我们有两个functor.

Finally, the STL includes a large collection of function objects, also known as functors.
最后，STL包含了大量的对象函数，也称为functors。

Java made you use functors, which is even uglier.
Java让你使用算子对象，一种更丑陋的东西。

Morphisms in that category are functors.
Morphisms为这些范畴中的functors。

If F and G are contravariant functors one speaks of a duality of categories instead.
如果F与G是反变函子我们则说范畴的对偶。

Suppose we have two natural transformations, α and β, that act, respectively, on functors F and G:.
假设我们有两个自然变换，α与β，它们分别作用于函子F与G：.

F is a left adjoint of G and both functors are full and faithful.
F是G的一个右伴随且两个函子都完全且忠实。

Categories, functors and natural transformations were introduced by Samuel Eilenberg and Saunders MacLane in 1945.
范畴、函子和自然变换是由塞缪尔·艾伦伯格和桑德斯·麦克兰恩在1945年引进的。

Suppose we have two functors and.
假如我们有两个functor.

With a judicious choice of functors, a lot of these commutativity conditions may be transformed into naturality conditions.
在正确选择函子的情况下，大量的交换条件都能够转换为自然性条件。

F is a left adjoint of G and both functors are full and faithful.
F是G的一个左伴随且两个函子都完全且忠实。

Functors often describe"natural constructions" and natural transformations then describe"natural homomorphisms" between two such constructions.
函子通常用来描述“自然构造”，而自然变换则用来描述两个构造之间的“自然同态”。

G is a right adjoint of F and both functors are full and faithful.
F是G的一个右伴随且两个函子都完全且忠实。

Functors in Haskell are from Hask to func, where func is the subcategory of Hask defined on just that functor's types.
Haskell中的Functor其实是把Hask转换到Hask子范畴Func的函子，范畴Func是定义在该Functor的类型之上的一个范畴。

Instances of those classes are called functors or function objects.
这种类型的对象称为functor或者functionobject。

Container types(and algorithms, functors and all STL as well) are defined not in global namespace, but in special namespace called“std.”.
容器类型（算法，函数对象和所有的STL内容）并不是定义在全局的名字空间中的，而是在一个特定的名叫“std”的名字空间里的。

These isomorphisms are"natural" in the sense that they define a natural transformation between the two involved functors Abop x Abop x Ab-gt; Ab.
这些同构是“自然”的，因为它们定义了两个函子间的一种自然变换：Abop×Abop×Ab→Ab。

The narrative function is losing its functors, its great hero, its great dangers, its great voyages, its great goal.".
他指出：“叙事功能正在失去它的对象：伟大的英雄、伟大的冒险者、伟大的航程、伟大的目标。

Since all standard algebraic data types are functors, any polymorphic function between such types is a natural transformation.
因为所有的标准代数数据类型都是函子，在这些类型之间的任何一个多态函数都是自然变换。

Then Alexander Grothendieck used derived functors of the global section functor, providing a more definitive solution.
然后格罗滕迪克（AlexanderGrothendieck）使用全局截面函子的导函子，给出了更权威的解决。

Now that we have mappings between functors- natural transformations- it's only natural to ask the question whether functors form a category.
现在，我们有了函子之间的映射--自然变换--因此很自然地就会想到，函子是否能够形成范畴？没错，它们可以。

A functor which is both faithful and full is called fully faithful.
完全忠实函子：既完全且忠实的函子称为完全忠实函子。

A functor maps a category to another category.
Functor将一个category映射到另一个category。

And satisfies the functor laws:.
显然，其满足了functor定律：.

A functor from a category to itself is called an endofunctor.
如果一个Functor从一个范畴映射到自己，称为endofunctor。

A functor also maps morphisms, so it is a higher order function- fmap.
函子，也能将态射映射为态射，因此它也是高阶函数--fmap。

The quickest way to define a contravariant functor is as a covariant functor from the opposite category Cop to D.
定义反变函子的最简捷的方法是作为C的反范畴Cop到D上的函子。

Pluck will work on any functor in addition to arrays, as it is equivalent to R. map(R. prop(k), f).
Pluck可以作用于任何functor，包括Array，因为它等价于R.map(R.prop(k),f)。