函子

基本解释 (translations)

functor

与函子相关的网络例句 [注：此内容来源于网络，仅供参考]

We construct the adjoint functor of the free functor.

构造了自由函子的伴随函子。

The first 10 chapters study cohomolgy of open set in Euclidean space,treat smooth manifolds and their cohomology and end with integration on manifolds.

全书分四章：范畴与函子及其在模论中的应用；特殊模与相应的维数；环模复形的同调理论；谱序列。

Furthermore, we define a convolution multiplication between characteristic functions of constructible subsets by using push-forward functor from the category of algebraic varieties over C to the category of spaces of constructible functions. We construct geometric model for "intrinsic symmetry" of the octahedral axiom in a triangulated category. Using it, we deduce the multiplication satisfies the Jacobi identity of Lie algebra and then realize infinite dimensional Lie algebras.

进一步，我们使用复代数簇范畴到可构函数空间范畴的pushforward函子，给出了可构集上特征函数的卷积乘法，并构造了三角范畴八面体公理的内蕴对称性的几何模型，最终证明了对于不可分解支撑有界可构集的特征函数，乘法满足李代数定义的Jacobi恒等式，从而给出了无限维李代数的实现。

In the fourth chapter, we explain that the functionuce is a covariant functor in the category of Novikov-Poisson Algebras at first.

在第四章中，我们首先说明了uce函数是Novikov-Poisson代数范畴上的共变函子。

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。

In this paper,the concepts of π characteristic functor and fusion were introduced.

引进π-特征函子和熔合的概念，研究了一类特殊的有限群的π- Hall子群在熔合理论中的应用，并得到了一些有用的结果。

The hermitian forms plays an important role in the K -theory of forms, While it is necessary to discuss the general hermitian groups and its elementary subgroups for studying the AT,-functor and K2 -functor of the hermitian forms.

厄米特型在型的K-理论中占有重要的地位，而讨论一般厄米特群及其基本子群是研究厄米特型的K_1-函子和K_2-函子所必须的。

It is showed that the loop space functor and the suspension functor preserve the properties of homotopy regular.

摘要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。

A theorem on natural equivalences between a right exact additive functor F which preserves sums and some tensor functor ?

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。

Based on the categorical knowledge representation and improving the completeness of categorical knowledge pieces,we present a knowledge reasoning method using the categorical construction of analogical functors and pushouts,through knowledge association and deduction,to achieve the supplements of objects and morphisms.This dissertation proposes a similarity measure method for decision-making knowledge acquisition based on greatest common subcategory,and this method calculates the similarity between knowledge pieces from the perspectives of objects,morphisms,types and type categories.A knowledge merging method and the measure of multiple knowledge pieces merging are also presented.

在范畴化知识表示的基础上，为提高范畴化知识片断的完备性，提出运用范畴的类推函子和推出来实现知识扩展推理方法，通过联想和推演过程，实现范畴化知识结构的对象和态射补充，并从对象、态射、定型和定型范畴四个层面量化知识片断相似性，提出基于最大公约子范畴的决策知识相似度计量方法，以及知识片断的语义融合度计量方法。

与函子相关的网络解释 [注：此内容来源于网络，仅供参考]

abelian functor：阿贝耳函子

abelian function field 阿贝耳函数域 | abelian functor 阿贝耳函子 | abelian group 交换群

adjoint functor：伴随函子

adjoint function 伴随函数 | adjoint functor 伴随函子 | adjoint graph 导出图

rigging adjoint functor：右伴随函子

rigging abeam 正正横方向 | rigging adjoint functor 右伴随函子 | rigging adjoint linear mapping 右伴随线性映射

right adjoint functor：右伴随函子

"冗余位","redundant digits" | "右伴随函子","right adjoint functor" | "右可消的","right cancellable"

left adjoint functor：左伴随函子

"最小元","least element" | "左伴随函子","left adjoint functor" | "左可消的","left cancellable"

balanced functor：平衡函子

balanced category 平衡范畴 | balanced functor 平衡函子 | balanced hypergraph 平衡超图

left balanced functor：左平衡函子

左平衡函子 left balanced functor | 在闭对象 left closed object | 左完备化 left completion

right balanced functor：右平衡函子

right artinian ring 右阿廷环 | right balanced functor 右平衡函子 | right circular cone 直立圆锥

bifunctor：二变项函子

bidual banach space 双对偶巴拿赫空间 | bifunctor 二变项函子 | bifurcation point 歧点

section functor：截面函子

section 截口 | section functor 截面函子 | section graph 部分等距算子