V2EX big-omega-notation

Big-Omega Notation

释义 Definition

Big-omega notation(大Ω记号)用于描述函数增长的渐近下界:如果存在正常数 cn,使得对所有 n ≥ n 都有
*f(n) ≥ cg(n)*,则记作 **f(n) ∈ Ω(g(n))**。在算法分析中,它常用来表达时间或空间复杂度“至少”增长到某个量级(与 Big-O 的上界相对)。

发音 Pronunciation (IPA)

/b ome noten/

例句 Examples

The algorithm’s running time is Ω(n) in big-omega-notation.
该算法的运行时间用大Ω记号表示为 Ω(n)。

Although the average case may be faster, the worst-case running time is still Ω(n log n), so it cannot do better than that asymptotically.
尽管平均情况可能更快,但最坏情况运行时间仍是 Ω(n log n),因此从渐近意义上它不可能优于这个下界。

词源 Etymology

“Omega”来自希腊字母 Ω(欧米伽),常用于表示“下界/至少”的渐近量级;“notation”意为“记号/表示法”。该用法在20世纪计算理论与算法分析中逐渐固定下来,与表示上界的 O 记号并列使用,形成一套描述增长速度的标准符号体系。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Introduction to Algorithms(Cormen, Leiserson, Rivest, Stein,常称 CLRS):在渐近记号一章系统讲解 O、Ω、Θ 的定义与用法。
  • The Art of Computer Programming(Donald E. Knuth):在分析算法效率与渐近估计时使用 Ω 等记号。
  • Concrete Mathematics(Graham, Knuth, Patashnik):在离散数学与渐近分析相关章节中涉及 Ω 及其与其他记号的关系。
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     951 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 56ms UTC 21:55 PVG 05:55 LAX 14:55 JFK 17:55
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