V2EX commutative

Commutative

释义 Definition

(尤指数学中的运算)可交换的:指运算的结果不因参与元素的顺序改变而改变。例如加法中 \(a+b=b+a\)。

发音 Pronunciation (IPA)

/kmjuttv/

例句 Examples

Addition is commutative, so 3 + 5 equals 5 + 3.
加法是可交换的,所以 3 + 5 等于 5 + 3。

In many algebra courses, students learn that multiplication is commutative for real numbers but not necessarily commutative for matrices.
在许多代数课程中,学生会学到:实数乘法是可交换的,但矩阵乘法不一定可交换。

词源 Etymology

commutative 来自拉丁语 commutare,意为“交换、互换”(com- 表“共同/完全”,mutare 表“改变”)。在数学语境中,它指“交换顺序而结果不变”的性质,即“交换律”。

相关词 Related Words

文学与典籍 Literary Works

  • A Survey of Modern Algebra(Birkhoff & Mac Lane):在讲解代数结构时使用 commutative(如 commutative ring/field)。
  • Algebra(Serge Lang):讨论交换环、交换群等概念时频繁出现 commutative
  • Abstract Algebra(David S. Dummit & Richard M. Foote):在群论与环论章节系统使用 commutative
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     5448 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 7ms UTC 09:26 PVG 17:26 LAX 02:26 JFK 05:26
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86