V2EX contravariant

Contravariant

释义 Definition

contravariant(反变的;逆变的):主要用于数学与物理中,描述一种“在坐标变换下按相反方式变化”的对象或量。常见于张量、向量、指标记号等语境中(例如“逆变向量/逆变指标”)。在某些编程语言语境里,也可指类型系统中的“逆变”(相对“协变”而言)。

发音 Pronunciation (IPA)

/kntrvrint/

例句 Examples

A contravariant vector changes oppositely to the basis under a coordinate transformation.
逆变向量在坐标变换下相对于基底以相反的方式变化。

In differential geometry, contravariant components are written with upper indices and transform with the inverse Jacobian matrix.
在微分几何中,逆变分量通常用上标表示,并通过雅可比矩阵的逆进行变换。

词源 Etymology

contra- 表示“相反、对立”(源自拉丁语 contra),variant 表示“变化的、变体的”(与拉丁语 variare “改变”相关)。合起来强调:在某种变换规则下,它的变化方向或方式与另一类对象(如协变)“相对”。

相关词 Related Words

文学与经典著作 Literary Works

  • Albert EinsteinThe Meaning of Relativity》(《相对论的意义》):讨论张量形式与坐标变换时常涉及(协变/逆变)的表述体系。
  • Charles W. Misner, Kip S. Thorne, John Archibald WheelerGravitation》(《引力》):在广义相对论的张量分析中频繁出现“contravariant components/indices”。
  • Michael SpivakA Comprehensive Introduction to Differential Geometry》(《微分几何综合导论》):以坐标与张量变换为核心内容,使用“contravariant”来区分指标类型与变换规则。
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     5401 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 8ms UTC 07:10 PVG 15:10 LAX 00:10 JFK 03:10
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