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

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[[Category:Sci–Tech_Index]]
{{Sci-Tech-Index-Intro}}
This is a part of the 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.
{| class="wikitable sortable"
! cmn-Hans-CN: 科目
! cmn-Latn.Pinyin-CN: kēmù
! deu-Latn-DE: Fach [n]
! eng-Latn-US: subject
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: か↑もく
! rus-Cyrl-RU: предме́т
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“Prerequisites” for language–script–region combinations except the first one are to be generated through programs, so they are kept empty.
== Main ==
 
{| class="wikitable sortable"
In progress.
 
{| class="wikitable"
! 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-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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| probability theory ||
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{| class="wikitable"
! 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-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
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|-
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| arithmetic mean ||  
| 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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| characteristic function || probability space; random variable; probability distribution
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| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
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| binomial distribution || binomial coefficient <number theory>, discrete probability distribution
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| dependent variable || variable <algebra>
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| characteristic function (probability theory) || probability space, random variable, probability distribution
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| deterministic system || determinism <metaphysics>
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| determinism ||
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| elementary event, atomic event, sample point || event; outcome; sample space
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| dependent variable || variable (set of attribute)
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| event || subset <mathematical logic>; sample space
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| deterministic system || determinism
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| experiment || set <mathematical logic>; outcome; randomness
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| independent variable || variable <algebra>
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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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| outcome || experiment
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| probability axioms, Kolmogorov axioms ||
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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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| discrete probability distribution  || probability distribution
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| sample space || experiment
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| event (probability theory) || subset <set theory>, sample space
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| stochastic process, random process || random variable
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| experiment (probability theory) || set (set theory) <set theory>, outcome (probability theory), randomness
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| tree diagram || probability space; event; independence
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| independent variable || variable (set of attribute)
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| trial || experiment
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| indeterminism ||
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| uncorrelatedness || covariance
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| jointly exhaustive, collectively exhaustive || set <set theory>, event (probability theory)
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| variance || expectation; deviation; sample mean; population mean
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| Markov chain, Markov process || sequence, event (probability theory), stocastic process
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{| class="wikitable sortable"
|+ 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
|-
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| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution, random variable, arithmetic mean, expected value
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| probability distribution || function <mathematical logic>; outcome
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| outcome (probability theory) || experiment (probability theory)
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| probability axioms, Kolmogorov axioms ||
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| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
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| probability distribution || function (mathematical analysis), outcome (probability theory)
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| discrete probability distribution  || probability distribution
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| random variable || dependent variable, randomness, outcome (probability theory)
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| logistic distribution || probability distribution <probability theory>
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| randomness ||
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| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
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| sample space || experiment (probability theory)
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== Appendix ==
=== Sentence ===
{| class="wikitable sortable"
! 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
|-
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| stochastic process, random process || random variable
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| tree diagram (probability theory) || probability space, event (probability theory), independence (probability)
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| A and B are independent || independence
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| trial (probability theory) || experiment (probability theory)
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| A and B are pairwise independent || pairwise independence
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| uncorrelatedness (probability theory) || covariance (probability theory)
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[[File:1024px-Dice_Distribution_(bar).svg.png]]
=== Symbol ===
== * Appendix * ==
{| class="wikitable sortable"
=== Process ===
! symbol
{| class="wikitable"
! cmn-Hans-CN: 含义
! eng-Latn-US: process
! cmn-Latn.Pinyin-CN: hányì
! eng-Latn-US: input and output
! deu-Latn-DE: Bedeutung [f]
! eng-Latn-US: meaning
! fra-Latn-FR: signification [f]
! jpn-Jpan-JP: 意味
! jpn-Hrkt-JP: い​↓​み
! rus-Cyrl-RU: значе́ние
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| probability
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| sample space
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=== Related Free Educational Resources ===
=== Resource under a Public License ===
{| class="wikitable"
{| class="wikitable sortable"
! branch
! name
! name
! language
! link
! link
! language
! public license
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| English
| https://github.com/MacroAnalyst/Probability_Theory
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|}


== <div style="color:#ffad00; font-weight:bold;">-- AUTHOR --</div> ==
<center>
[https://polyglotclub.com/member/GrimPixel GrimPixel]
https://upload.wikimedia.org/wikipedia/commons/thumb/1/12/Dice_Distribution_%28bar%29.svg/512px-Dice_Distribution_%28bar%29.svg.png
</center>
 
{{Sci-Tech-Index-Menu}}

Revision as of 07:30, 4 July 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: 科目 cmn-Latn.Pinyin-CN: kēmù deu-Latn-DE: Fach [n] eng-Latn-US: subject fra-Latn-FR: matière [f] jpn-Jpan-JP: 科目 jpn-Hrkt-JP: か↑もく rus-Cyrl-RU: предме́т

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: 含义 cmn-Latn.Pinyin-CN: hányì deu-Latn-DE: Bedeutung [f] eng-Latn-US: meaning fra-Latn-FR: signification [f] jpn-Jpan-JP: 意味 jpn-Hrkt-JP: い​↓​み rus-Cyrl-RU: значе́ние
p probability
S, Ω, U sample space

Resource under a Public License

name language link
Probability Theory English https://github.com/MacroAnalyst/Probability_Theory

512px-Dice_Distribution_%28bar%29.svg.png

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