Difference between revisions of "Language/Multiple-languages/Vocabulary/Probability-Theory"
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
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== Main == | == Main == | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
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| arithmetic mean || | |||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem || | |||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
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| || | | || | ||
| || | | || | ||
| Bernoulli process || random variable; stochastic process | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
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| || | | || | ||
| || | | || | ||
| characteristic function || probability space; random variable; probability distribution | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| dependent variable || variable <algebra> | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| deterministic system || determinism <metaphysics> | |||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| elementary event, atomic event, sample point || event; outcome; sample space | |||
| || | | || | ||
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|- | |- | ||
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| event || subset <mathematical logic>; sample space | |||
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|- | |- | ||
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| experiment || set <mathematical logic>; outcome; randomness | |||
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|- | |- | ||
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| independent variable || variable <algebra> | |||
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|- | |- | ||
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| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event | |||
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|- | |- | ||
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| || | | || | ||
| law of large numbers || expected value | |||
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|- | |- | ||
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| law of total probability || marginal distribution; conditional probability | |||
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|- | |- | ||
| || | | || | ||
| || | | || | ||
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| Markov chain, Markov process || sequence; event; stochastic process | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
| || | | || | ||
| || | | || | ||
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| outcome || experiment | |||
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| || | | || | ||
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|- | |- | ||
| || | | || | ||
| || | | || | ||
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| probability axioms, Kolmogorov axioms || | |||
| || | | || | ||
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|- | |- | ||
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| probability measure || measure <mathematical analysis>; real-valued function; probability space | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
| || | | || | ||
| random variable || dependent variable; randomness; outcome | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
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| randomness || | |||
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| || | | || | ||
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|- | |- | ||
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| || | | || | ||
| || | | || | ||
| sample space || experiment | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| stochastic process, random process || random variable | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
| tree diagram || probability space; event; independence | |||
| || | | || | ||
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|- | |- | ||
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| trial || experiment | |||
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| || | | || | ||
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|- | |- | ||
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| || | | || | ||
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| uncorrelatedness || covariance | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
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| variance || expectation; deviation; sample mean; population mean | |||
| || | | || | ||
| || | | || | ||
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
|+ probability distribution | |+ probability distribution | ||
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提 | ||
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí | ||
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! eng-Latn-US: concept !! eng-Latn-US: prerequisite | |||
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提 | ||
Line 314: | Line 305: | ||
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| probability distribution || function <mathematical logic>; outcome | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| binomial distribution || binomial coefficient <number theory>; discrete probability distribution | |||
| || | | || | ||
| || | | || | ||
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|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| discrete probability distribution || probability distribution | |||
| || | | || | ||
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|- | |- | ||
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| || | | || | ||
| || | | || | ||
| logistic distribution || probability distribution <probability theory> | |||
| || | | || | ||
| || | | || | ||
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| || | | || | ||
|- | |- | ||
| || | | || | ||
| || | | || | ||
| || | | || | ||
| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value | |||
| || | | || | ||
| || | | || | ||
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=== Sentence === | === Sentence === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 语句 !! cmn-Hans-CN: 前提 | |||
! cmn-Hans-CN: | ! cmn-Latn.Pinyin-CN: yǔjù !! cmn-Latn.Pinyin-CN: qiántí | ||
! cmn-Latn.Pinyin-CN: | ! deu-Latn-DE: Satz [m] !! deu-Latn-DE: Voraussetzung [f] | ||
! deu-Latn-DE: | ! eng-Latn-US: sentence !! eng-Latn-US: prerequisite | ||
! fra-Latn-FR: | ! fra-Latn-FR: phrase [f] !! fra-Latn-FR: préalable [m] | ||
! jpn-Jpan-JP: | ! jpn-Jpan-JP: 文章 !! jpn-Jpan-JP: 前提 | ||
! jpn-Hrkt-JP: | ! jpn-Hrkt-JP: ぶ↑んしょ↓う !! jpn-Hrkt-JP: ぜ↑んてい | ||
! rus-Cyrl-RU: | ! rus-Cyrl-RU: фра́за !! rus-Cyrl-RU: предпосы́лка | ||
|- | |- | ||
| || | | || | ||
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|- | |- | ||
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| A and B are independent || independence | |||
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|- | |- | ||
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| A and B are pairwise independent || pairwise independence | |||
| || | | || | ||
| || | | || | ||
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{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! symbol | ! symbol | ||
! cmn-Hans-CN: 概念 | ! cmn-Hans-CN: 概念 | ||
! cmn-Latn.Pinyin-CN: gàiniàn | ! cmn-Latn.Pinyin-CN: gàiniàn | ||
! deu-Latn-DE: Begriff [m] | ! deu-Latn-DE: Begriff [m] | ||
! eng-Latn-US: concept | |||
! fra-Latn-FR: concept [m] | ! fra-Latn-FR: concept [m] | ||
! jpn-Jpan-JP: 概念 | ! jpn-Jpan-JP: 概念 | ||
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|- | |- | ||
| ''p'' | | ''p'' | ||
| | | | ||
| | | | ||
| | | | ||
| probability | |||
| | | | ||
| | | | ||
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|- | |- | ||
| ''S'', Ω, ''U'' | | ''S'', Ω, ''U'' | ||
| | | | ||
| | | | ||
| | | | ||
| sample space | |||
| | | | ||
| | | | ||
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=== Process === | === Process === | ||
{| class="wikitable sortable" | {| class="wikitable sortable" | ||
! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ! cmn-Hans-CN: 过程 !! cmn-Hans-CN: 构件 | ||
! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ! cmn-Latn.Pinyin-CN: guòchéng !! cmn-Latn.Pinyin-CN: gòujiàn | ||
! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | ! deu-Latn-DE: Prozess [m] !! deu-Latn-DE: Bestandteil [m] | ||
! eng-Latn-US: process !! eng-Latn-US: constituent | |||
! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ! fra-Latn-FR: procès [m] !! fra-Latn-FR: composant [m] | ||
! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 | ! jpn-Jpan-JP: 過程 !! jpn-Jpan-JP: 構材 |
Revision as of 07:16, 26 March 2022
Hello polyglots, 😀
On this page you will find a part of the Sci–Tech Index, a project for science and technology learners.
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Main
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
arithmetic mean | |||||||||||||||
Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem | |||||||||||||||
Bernoulli process | random variable; stochastic process | ||||||||||||||
characteristic function | probability space; random variable; probability distribution | ||||||||||||||
Chebyshev's inequality, Bienaymé–Chebyshev inequality | probability distribution | ||||||||||||||
dependent variable | variable <algebra> | ||||||||||||||
deterministic system | determinism <metaphysics> | ||||||||||||||
elementary event, atomic event, sample point | event; outcome; sample space | ||||||||||||||
event | subset <mathematical logic>; sample space | ||||||||||||||
experiment | set <mathematical logic>; outcome; randomness | ||||||||||||||
independent variable | variable <algebra> | ||||||||||||||
jointly exhaustive, collectively exhaustive | set <mathematical logic>; event | ||||||||||||||
law of large numbers | expected value | ||||||||||||||
law of total probability | marginal distribution; conditional probability | ||||||||||||||
Markov chain, Markov process | sequence; event; stochastic process | ||||||||||||||
outcome | experiment | ||||||||||||||
probability axioms, Kolmogorov axioms | |||||||||||||||
probability measure | measure <mathematical analysis>; real-valued function; probability space | ||||||||||||||
random variable | dependent variable; randomness; outcome | ||||||||||||||
randomness | |||||||||||||||
sample space | experiment | ||||||||||||||
stochastic process, random process | random variable | ||||||||||||||
tree diagram | probability space; event; independence | ||||||||||||||
trial | experiment | ||||||||||||||
uncorrelatedness | covariance | ||||||||||||||
variance | expectation; deviation; sample mean; population mean | ||||||||||||||
cmn-Hans-CN: 概念 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: gàiniàn | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Begriff [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: concept | eng-Latn-US: prerequisite | fra-Latn-FR: concept [m] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 概念 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: が↓いねん | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: конце́пция | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
probability distribution | function <mathematical logic>; outcome | ||||||||||||||
binomial distribution | binomial coefficient <number theory>; discrete probability distribution | ||||||||||||||
discrete probability distribution | probability distribution | ||||||||||||||
logistic distribution | probability distribution <probability theory> | ||||||||||||||
normal distribution, Gauss distribution, Laplace–Gauss distribution | probability distribution; random variable; arithmetic mean; expected value | ||||||||||||||
Appendix
Sentence
cmn-Hans-CN: 语句 | cmn-Hans-CN: 前提 | cmn-Latn.Pinyin-CN: yǔjù | cmn-Latn.Pinyin-CN: qiántí | deu-Latn-DE: Satz [m] | deu-Latn-DE: Voraussetzung [f] | eng-Latn-US: sentence | eng-Latn-US: prerequisite | fra-Latn-FR: phrase [f] | fra-Latn-FR: préalable [m] | jpn-Jpan-JP: 文章 | jpn-Jpan-JP: 前提 | jpn-Hrkt-JP: ぶ↑んしょ↓う | jpn-Hrkt-JP: ぜ↑んてい | rus-Cyrl-RU: фра́за | rus-Cyrl-RU: предпосы́лка |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A and B are independent | independence | ||||||||||||||
A and B are pairwise independent | pairwise independence | ||||||||||||||
Symbol
symbol | cmn-Hans-CN: 概念 | cmn-Latn.Pinyin-CN: gàiniàn | deu-Latn-DE: Begriff [m] | eng-Latn-US: concept | fra-Latn-FR: concept [m] | jpn-Jpan-JP: 概念 | jpn-Hrkt-JP: が↓いねん | rus-Cyrl-RU: конце́пция |
---|---|---|---|---|---|---|---|---|
p | probability | |||||||
S, Ω, U | sample space | |||||||
Process
cmn-Hans-CN: 过程 | cmn-Hans-CN: 构件 | cmn-Latn.Pinyin-CN: guòchéng | cmn-Latn.Pinyin-CN: gòujiàn | deu-Latn-DE: Prozess [m] | deu-Latn-DE: Bestandteil [m] | eng-Latn-US: process | eng-Latn-US: constituent | fra-Latn-FR: procès [m] | fra-Latn-FR: composant [m] | jpn-Jpan-JP: 過程 | jpn-Jpan-JP: 構材 | jpn-Hrkt-JP: か↑てい | jpn-Hrkt-JP: こ↑うざい | rus-Cyrl-RU: проце́сс | rus-Cyrl-RU: соста́вная часть |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Resource under a Public License
name | language | link |
---|---|---|
Probability Theory | English | https://github.com/MacroAnalyst/Probability_Theory |
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