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.
In progress.


“Prerequisites” for non-English languages are to be generated through programs, so they are kept empty.
{| class="wikitable sortable"
! 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
|-
|  ||
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|-
| 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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|}


In progress.
{| class="wikitable sortable"
! 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
|-
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|-
| arithmetic mean ||
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|-
| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
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|-
| Bernoulli process || random variable; stochastic process
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| 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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| determinism ||
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| dependent variable || variable <algebra>
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| deterministic system || determinism
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| discrete probability distribution  || probability distribution
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|-
| elementary event, atomic event, sample point || event, outcome, sample space
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|-
| event || subset <mathematical logic>; sample space
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|-
| experiment || set <mathematical logic>; outcome; randomness
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|-
| independent variable || variable <algebra>
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| indeterminism ||
|  ||
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|-
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
|  ||
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| law of large numbers || expected value
|  ||
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|-
| law of total probability || marginal distribution, conditional probability
|  ||
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|-
| Markov chain, Markov process || sequence; event; stochastic process
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|-
| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
|  ||
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|-
| outcome || experiment
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| probability axioms, Kolmogorov axioms ||
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| 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
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| randomness ||
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| sample space || experiment
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| stochastic process, random process || random variable
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| tree diagram || probability space; event; independence
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| trial || experiment
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| uncorrelatedness || covariance
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|-
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|}
 
[[File:1024px-Dice_Distribution_(bar).svg.png]]


{| class="wikitable"
== * Appendix * ==
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| 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 360:
! 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
|-
|-
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| independent || independence
|  ||
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| pairwise independent || pairwise independence
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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
|-
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| ''p''
| probability
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| ''S'', Ω, ''U''
| sample space
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|}
|}


[[File:1024px-Normal_Distribution_PDF.svg.png]]
=== 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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|}


== * Related Free Educational Resources ==
=== Related Free Educational Resources ===
{| class="wikitable"
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! 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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