Difference between revisions of "Language/Multiple-languages/Vocabulary/Probability-Theory"

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{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|-
| probability theory ||
| 概率论 ||
| gàilǜ lùn ||
| Wahrscheinlichkeitstheorie [f], Wahrscheinlichkeitsrechnung [f], Probabilistik [f] || 
| théorie [f] des probabilités ||
| 確率論 ||
| か↑くりつ↓ろん ||
| тео́рия вероя́тностей ||
|-
|-
|  ||  
|  ||  
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== Main ==
== Main ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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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|  ||  
|  ||  
|-
|-
| arithmetic mean ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| arithmetic mean ||
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| Bernoulli process || random variable; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Bernoulli process || random variable; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| characteristic function || probability space; random variable; probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| characteristic function || probability space; random variable; probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| dependent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| dependent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| deterministic system || determinism <metaphysics>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| deterministic system || determinism <metaphysics>
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| elementary event, atomic event, sample point || event; outcome; sample space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| elementary event, atomic event, sample point || event; outcome; sample space
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| event || subset <mathematical logic>; sample space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| event || subset <mathematical logic>; sample space
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| experiment || set <mathematical logic>; outcome; randomness
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| experiment || set <mathematical logic>; outcome; randomness
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| independent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| independent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| law of large numbers || expected value
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of large numbers || expected value
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| law of total probability || marginal distribution; conditional probability
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| law of total probability || marginal distribution; conditional probability
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| Markov chain, Markov process || sequence; event; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| Markov chain, Markov process || sequence; event; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| outcome || experiment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| outcome || experiment
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| probability axioms, Kolmogorov axioms ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| probability axioms, Kolmogorov axioms ||
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| probability measure || measure <mathematical analysis>; real-valued function; probability space
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| probability measure || measure <mathematical analysis>; real-valued function; probability space
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| random variable || dependent variable; randomness; outcome
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| random variable || dependent variable; randomness; outcome
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| randomness ||
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| randomness ||
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| sample space || experiment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| sample space || experiment
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| stochastic process, random process || random variable
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| stochastic process, random process || random variable
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| tree diagram || probability space; event; independence
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| tree diagram || probability space; event; independence
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| trial || experiment
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| trial || experiment
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| uncorrelatedness || covariance
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| uncorrelatedness || covariance
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| variance || expectation; deviation; sample mean; population mean
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| variance || expectation; deviation; sample mean; population mean
|  ||  
|  ||  
|  ||  
|  ||  
Line 305: Line 296:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ probability distribution
|+ probability distribution
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| probability distribution || function <mathematical logic>; outcome
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| discrete probability distribution  || probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| discrete probability distribution  || probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| logistic distribution || probability distribution <probability theory>
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| 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
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
|  ||  
|  ||  
|  ||  
|  ||  
Line 381: Line 372:
=== Sentence ===
=== Sentence ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 语句 !! cmn-Hans-CN: 前提
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: yǔjù !! cmn-Latn.Pinyin-CN: qiántí
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Satz [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: sentence !! eng-Latn-US: prerequisite
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: phrase [f] !! fra-Latn-FR: préalable [m]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 文章 !! jpn-Jpan-JP: 前提
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: ぶ​↑んしょ↓う !! jpn-Hrkt-JP: ぜ↑んてい
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: фра́за !! rus-Cyrl-RU: предпосы́лка
|-
|-
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| A and B are independent || independence
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| A and B are independent || independence
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| A and B are pairwise independent || pairwise independence
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
|  ||  
| A and B are pairwise independent || pairwise independence
|  ||  
|  ||  
|  ||  
|  ||  
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{| class="wikitable sortable"
{| class="wikitable sortable"
! symbol
! symbol
! eng-Latn-US: concept
! 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
Line 450: Line 441:
|-
|-
| ''p''
| ''p''
| probability
|  
|  
|  
|  
|  
|  
| probability
|  
|  
|  
|  
Line 460: Line 451:
|-
|-
| ''S'', Ω, ''U''
| ''S'', Ω, ''U''
| sample space
|  
|  
|  
|  
|  
|  
| sample space
|  
|  
|  
|  
Line 482: Line 473:
=== Process ===
=== Process ===
{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! 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
probability distribution
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
1024px-Dice Distribution (bar).svg.png

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