V2EX expectation value

Expectation Value

Definition / 定义

“期望值(数学期望)”:在概率论与统计中,指随机变量在长期重复试验中的平均结果;常写作 **E(X)**。在量子力学中也常指“算符/可观测量的期望值”,表示大量测量结果的平均。

Pronunciation / 发音

/kspkten vlju/

Examples / 例句

The expectation value of a fair die roll is 3.5.
公平骰子掷一次的期望值是 3.5。

In quantum mechanics, the expectation value of an observable is computed from the wavefunction and represents the average result over many measurements.
在量子力学中,可观测量的期望值由波函数计算得到,表示在大量测量中的平均结果。

Etymology / 词源

expectation 来自拉丁语 expectare(“期待、等候”),value 来自拉丁语 valere(“有价值、强健”)。组合成 “expectation value” 后,在数学与科学语境中专指“按概率加权得到的平均值”,强调“预期的平均结果”。

Related Words / 相关词

Literary Works / 文学作品

  • William Feller, An Introduction to Probability Theory and Its Applications(广泛使用“expectation/expectation value”讨论随机变量的数学期望)
  • Sheldon Ross, A First Course in Probability(以“expected value/expectation value”作为核心概念讲解)
  • Geoffrey Grimmett & David Stirzaker, Probability and Random Processes(在随机过程与期望算子部分频繁出现)
  • Claude Cohen-Tannoudji et al., Quantum Mechanics(量子力学中“expectation value of an operator/observable”是关键术语)
About     Help     Advertise     Blog     API     FAQ     Solana     956 Online   Highest 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 40ms UTC 20:02 PVG 04:02 LAX 13:02 JFK 16:02
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