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

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[[Category:Sci–Tech_Index]]
[[Category:Sci–Tech_Index]]
This is a part of the Sci–Tech Index, a project for science and technology learners.
This is a part of the [https://polyglotclub.com/wiki/Language/Multiple-languages/Culture/Introduction-to-Sci%E2%80%93Tech-Index Sci–Tech Index], a project for science and technology learners.
 
You can see the titles are a bit of weird. They are going to be read by machine and made use of by other means.
 
“Prerequisites” for language–script–region combinations except the first one are to be generated through programs, so they are kept empty.


In progress.
In progress.


{| class="wikitable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
Line 14: Line 10:
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! 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
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|-
| probability theory ||  
| 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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|}
|}
{| class="wikitable"
 
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! 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
Line 33: Line 48:
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! 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
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|-
| arithmetic mean ||  
| arithmetic mean ||  
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|  ||  
|  ||  
|-
|-
| binomial distribution || binomial coefficient <number theory>, discrete probability distribution
| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
|  ||  
| ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| Bernoulli process || random variable; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| characteristic function (probability theory) || probability space, random variable, probability distribution
| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
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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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Line 73: Line 124:
|  ||  
|  ||  
|-
|-
| dependent variable || variable (set of attribute)
| dependent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| event (probability theory) || subset <set theory>, sample space
| elementary event, atomic event, sample point || event, outcome, sample space
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| event || subset <mathematical logic>; sample space
|  ||  
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|  ||  
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|-
|-
| experiment (probability theory) || set (set theory) <set theory>, outcome (probability theory), randomness
| experiment || set <mathematical logic>; outcome; randomness
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
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|-
|-
| independent variable || variable (set of attribute)
| independent variable || variable <algebra>
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| jointly exhaustive, collectively exhaustive || set <set theory>, event (probability theory)
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| Markov chain, Markov process || sequence, event (probability theory), stocastic process
| law of large numbers || expected value
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| law of total probability || marginal distribution, conditional probability
|  ||
|  ||
|  ||
|  ||
|  ||
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|-
| Markov chain, Markov process || sequence; event; stochastic process
|  ||  
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|  ||  
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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
|  ||  
|  ||  
|  ||  
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Line 164: Line 241:
|  ||  
|  ||  
|-
|-
| outcome (probability theory) || experiment (probability theory)
| outcome || experiment
|  ||  
|  ||  
|  ||  
|  ||  
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|  ||  
|  ||  
|-
|-
| probability distribution || function (mathematical analysis), outcome (probability theory)
| probability distribution || function <mathematical logic>; outcome
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
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|-
| probability measure || measure <mathematical analysis>; real-valued function; probability space
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|-
|-
| random variable || dependent variable, randomness, outcome (probability theory)
| random variable || dependent variable; randomness; outcome
|  ||  
|  ||  
|  ||  
|  ||  
Line 209: Line 295:
|  ||  
|  ||  
|-
|-
| sample space || experiment (probability theory)
| sample space || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 227: Line 313:
|  ||  
|  ||  
|-
|-
| tree diagram (probability theory) || probability space, event (probability theory), independence (probability)
| tree diagram || probability space; event; independence
|  ||  
|  ||  
|  ||  
|  ||  
Line 236: Line 322:
|  ||  
|  ||  
|-
|-
| trial (probability theory) || experiment (probability theory)
| trial || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 245: Line 331:
|  ||  
|  ||  
|-
|-
| uncorrelatedness (probability theory) || covariance (probability theory)
| uncorrelatedness || covariance
|  ||
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|-
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Line 256: Line 351:


[[File:1024px-Dice_Distribution_(bar).svg.png]]
[[File:1024px-Dice_Distribution_(bar).svg.png]]
== * Appendix * ==
== * Appendix * ==
=== Process ===
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| class="wikitable"
{| class="wikitable sortable"
! eng-Latn-US: process
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! eng-Latn-US: input and output
! 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]
! 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
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|-
| independent || independence
|  ||
|  ||
|  ||
|  ||
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|-
| pairwise independent || pairwise independence
|  ||
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|-
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|}
 
=== Symbol ===
{| class="wikitable sortable"
! symbol
! eng-Latn-US: concept
! cmn-Hans-CN: 概念
! cmn-Latn.Pinyin-CN: gàiniàn
! deu-Latn-DE: Begriff [m]
! 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 ===
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! 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]
! 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
|-
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|  ||
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|  ||
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|-
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|}
|}


=== Related Free Educational Resources ===
=== Related Free Educational Resources ===
{| class="wikitable"
{| class="wikitable sortable"
! branch
! branch
! name
! name
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! public license
! public license
|-
|-
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|}


== <div style="color:#ffad00; font-weight:bold;">-- AUTHOR --</div> ==
{{Sci-Tech-Index-Menu}}
[https://polyglotclub.com/member/GrimPixel GrimPixel]

Revision as of 22:17, 31 December 2021

This is a part of the Sci–Tech Index, a project for science and technology learners.

In progress.

eng-Latn-US: concept eng-Latn-US: prerequisite 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] 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 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
eng-Latn-US: concept eng-Latn-US: prerequisite 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] 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
binomial distribution binomial coefficient <number theory>; discrete probability distribution
characteristic function probability space; random variable; probability distribution
Chebyshev's inequality, Bienaymé–Chebyshev inequality probability distribution
determinism
dependent variable variable <algebra>
deterministic system determinism
discrete probability distribution probability distribution
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>
indeterminism
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
normal distribution, Gauss distribution, Laplace–Gauss distribution probability distribution; random variable; arithmetic mean; expected value
outcome experiment
probability axioms, Kolmogorov axioms
probability distribution function <mathematical logic>; outcome
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

1024px-Dice Distribution (bar).svg.png

* Appendix *

Adjective & Adjective Phrase; Verb & Verb Phrase

eng-Latn-US: concept eng-Latn-US: prerequisite 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] 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
independent independence
pairwise independent pairwise independence

Symbol

symbol eng-Latn-US: concept cmn-Hans-CN: 概念 cmn-Latn.Pinyin-CN: gàiniàn deu-Latn-DE: Begriff [m] 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

eng-Latn-US: process eng-Latn-US: constituent 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] 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

Related Free Educational Resources

branch name link language public license

Unmaintained! Moved to a Codeberg repository. Use Foam with VSCodium to visualise the content.

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