V2EX arithmetic series

Arithmetic Series

释义 Definition

等差数列(或等差级数):一串数按固定的差值(公差)依次递增或递减的序列。常见形式为 \(a, a+d, a+2d, \dots\)。在一些语境中也会用来指其“求和”(等差级数的和),但最常见含义是“等差数列”。

发音 Pronunciation

/rθmtk sriz/

例句 Examples

An arithmetic series increases by the same amount each step.
等差数列每一步都按相同的差值增加。

If the first term is 3 and the common difference is 2, the arithmetic series is 3, 5, 7, 9, and so on.
如果首项是 3、公差是 2,那么这个等差数列是 3、5、7、9,依此类推。

词源 Etymology

arithmetic 源自希腊语 arithmos(“数字、计数”),经拉丁语与法语演变进入英语;series 源自拉丁语 series(“排列、连续”)。合起来表示“按一定规律连续排列的一串数”。

相关词 Related Words

文学与著作 Literary Works

  • G. Chrystal Algebra: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges(经典代数教材中系统讨论等差数列与求和)
  • G. H. Hardy A Course of Pure Mathematics(在数列与级数相关章节中涉及等差数列/级数的基本思想与对比)
  • Ronald L. Graham, Donald E. Knuth, Oren Patashnik Concrete Mathematics(在离散数学与求和技巧的语境中常出现等差数列相关表达)
  • E. T. Bell Men of Mathematics(以数学史叙述方式提及基础数列思想在数学发展中的位置)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     1240 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 44ms UTC 17:11 PVG 01:11 LAX 10:11 JFK 13:11
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