代数是研究数、数量、关系与结构的数学分支。初等代数一般在中学时讲授,介绍代数的基本思想:研究当我们对数字作加法或乘法时会发生什么,以及了解变量的概念和如何建立多项式并找出它们的根。代数的研究对象不仅是数字,而是各种抽象化的结构。在其中我们只关心各种关系及其性质,而对于“数本身是什么”这样的问题并不关心。常见的代数结构类型有群、环、域、模、线性空间等。
代数数 [数] algebraic number ; algebraic integer ; algebraische Zahl algebraic number ; Algebraische Zahl
线性代数 [数] Linear Algebra ; Linear Algebra with Applications ; An Introduction to Linear Algebra ; Linear Mathematics ; linear algebra
抽象代数 [数] abstract algebra ; Modern algebra
代数拓扑 [数] Algebraic Topology ; Hatcher ; Algebraische Topologie ; ALGEBRAIC TOPOLOGY A FIRST COURSE
代数基本定理 [数] fundamental theorem of algebra ; Fundamentalsatz der Algebra ; algebra fundamental theorem ; the fundamental theorem in algebra
代数结构 [数] algebraic structure ; Abstract Algebra ; Algebraische Struktur ; algebraische Struktur algebraic structure
初等代数 algebra
逻辑代数 Boolean algebra ; [数] logic algebra ; [数] algebra of logic
代数式 [数] algebraic expression ; AEK-AFH ; algebraic c expression ; algebraic formula
While, a linearly ordered algebra is convenient to discuss.
而线性代数系统讨论起来就方便多了。
参考来源 - 代数系统的可嵌入性This paper mainly discusses the application of rough sets theory to algebra system-ring.
主要讨论粗糙集理论在代数系统--环上的应用。
参考来源 - 粗糙环的同态与同构·2,447,543篇论文数据,部分数据来源于NoteExpress
20岁时,他把尤勒的权威代数著作译成了英语。
At twenty he translated Euler's standard work on algebra into English.
对于那些特别难的代数题,他允许约翰偷偷抄袭他的答案。
He would allow John slyly to copy his answers to impossibly difficult algebra questions.
代数对每个人来说都不容易学,但它非常有用。
Algebra is not easy for everyone to learn, but it is very useful.
Let's say you have to go through three or four operations to get a final number, well, do it algebraically.
让我们说,你不得不通过3-4个操作,才能得到最终的数,好吧,用代数方法求解。
I mean, you may not understand it with algebra before but some of these sorts of pictures have you seen before?
我是说可能代数部分你没看懂,但你们以前见过类似的图像吧
I want to show you how easy it is to change the code. But, notice, once I've added this I actually have a problem. This is now an under-constrained problem. I have more unknowns than I have equations.
我加上这个条件后,我马上面临一个问题了,这就是现在是一个非约束性问题了,我的未知数比方程数多,你从代数中可以知道。
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