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

From Polyglot Club WIKI
Jump to navigation Jump to search
(14 intermediate revisions by the same user not shown)
Line 4: Line 4:
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 11: Line 11:
! 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: ぜんたい
! 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 ||  
| 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 ||
|-
|  ||
|  ||  
|  ||  
|  ||  
|  ||  
Line 23: Line 41:
|  ||  
|  ||  
|}
|}
{| 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 30: Line 49:
! 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: ぜんたい
! 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
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|-
| arithmetic mean ||  
| arithmetic mean ||  
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| Bernoulli process || random variable; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
Line 51: Line 97:
|  ||  
|  ||  
|-
|-
| characteristic function (probability theory) || probability space; random variable; probability distribution
| characteristic function || probability space; random variable; probability distribution
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
|  ||  
|  ||  
|  ||  
|  ||  
Line 69: Line 124:
|  ||  
|  ||  
|-
|-
| dependent variable || variable (set of attribute)
| dependent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 96: Line 151:
|  ||  
|  ||  
|-
|-
| event (probability theory) || subset <set theory>; sample space
| elementary event, atomic event, sample point || event, outcome, sample space
|  ||  
|  ||  
|  ||  
|  ||  
Line 105: Line 160:
|  ||  
|  ||  
|-
|-
| experiment (probability theory) || set (set theory) <set theory>; outcome (probability theory); randomness
| event || subset <mathematical logic>; sample space
|  ||  
|  ||  
|  ||  
|  ||  
Line 114: Line 169:
|  ||  
|  ||  
|-
|-
| independent variable || variable (set of attribute)
| experiment || set <mathematical logic>; outcome; randomness
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| independent variable || variable <algebra>
|  ||  
|  ||  
|  ||  
|  ||  
Line 132: Line 196:
|  ||  
|  ||  
|-
|-
| jointly exhaustive, collectively exhaustive || set <set theory>; event (probability theory)
| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| law of large numbers || expected value
|  ||  
|  ||  
|  ||  
|  ||  
Line 141: Line 214:
|  ||  
|  ||  
|-
|-
| Markov chain, Markov process || sequence; event (probability theory); stocastic process
| law of total probability || marginal distribution, conditional probability
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| Markov chain, Markov process || sequence; event; stochastic process
|  ||  
|  ||  
|  ||  
|  ||  
Line 149: Line 231:
|  ||  
|  ||  
|  ||  
|  ||  
|-
|-
| 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 160: Line 241:
|  ||  
|  ||  
|-
|-
| outcome (probability theory) || experiment (probability theory)
| outcome || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 178: Line 259:
|  ||  
|  ||  
|-
|-
| probability distribution || function (mathematical analysis); outcome (probability theory)
| probability distribution || function <mathematical logic>; outcome
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| probability measure || measure <mathematical analysis>; real-valued function; probability space
|  ||  
|  ||  
|  ||  
|  ||  
Line 187: Line 277:
|  ||  
|  ||  
|-
|-
| random variable || dependent variable; randomness; outcome (probability theory)
| random variable || dependent variable; randomness; outcome
|  ||  
|  ||  
|  ||  
|  ||  
Line 205: Line 295:
|  ||  
|  ||  
|-
|-
| sample space || experiment (probability theory)
| sample space || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 223: Line 313:
|  ||  
|  ||  
|-
|-
| tree diagram (probability theory) || probability space; event (probability theory); independence (probability)
| tree diagram || probability space; event; independence
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
| trial || experiment
|  ||  
|  ||  
|  ||  
|  ||  
Line 232: Line 331:
|  ||  
|  ||  
|-
|-
| trial (probability theory) || experiment (probability theory)
| uncorrelatedness || covariance
|  ||  
|  ||  
|  ||  
|  ||  
Line 241: Line 340:
|  ||  
|  ||  
|-
|-
| uncorrelatedness (probability theory) || covariance (probability theory)
| ||  
|  ||  
|  ||  
|  ||  
|  ||  
Line 252: Line 351:


[[File:1024px-Dice_Distribution_(bar).svg.png]]
[[File:1024px-Dice_Distribution_(bar).svg.png]]
== * Appendix * ==
== * Appendix * ==
=== Adjective & Adjective Phrase ===
=== Adjective & Adjective Phrase; Verb & Verb Phrase ===
{| 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 261: Line 361:
! 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: ぜんたい
! 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
|-
|-
Line 272: Line 372:
|  ||  
|  ||  
|  ||  
|  ||  
|}
|-
 
| independent || independence
=== Verb & Verb Phrase ===
|  ||
{| 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-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
|-
! jpn-Hrkt-JP: がいねん !! jpn-Hrkt-JP: ぜんたい
| pairwise independent || pairwise independence
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|-
|  ||  
|  ||  
Line 296: Line 402:


=== Symbol ===
=== Symbol ===
{| class="wikitable"
{| class="wikitable sortable"
! symbol
! symbol
! eng-Latn-US: concept
! eng-Latn-US: concept
Line 304: Line 410:
! fra-Latn-FR: concept [m]
! fra-Latn-FR: concept [m]
! jpn-Jpan-JP: 概念
! jpn-Jpan-JP: 概念
! jpn-Hrkt-JP: がいねん
! jpn-Hrkt-JP: が↓いねん
! rus-Cyrl-RU: конце́пция
! rus-Cyrl-RU: конце́пция
|-
|
|
|
|
|
|
|
|
|
|-
|-
| ''p''
| ''p''
Line 319: Line 435:
| ''S'', Ω, ''U''
| ''S'', Ω, ''U''
| sample space
| sample space
|
|
|
|
|
|
|
|-
|
|
|  
|  
|  
|  
Line 329: Line 455:


=== Process ===
=== Process ===
{| class="wikitable"
{| class="wikitable sortable"
! eng-Latn-US: process !! eng-Latn-US: constituent
! 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
Line 336: Line 462:
! 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
! jpn-Hrkt-JP: かてい !! jpn-Hrkt-JP: こうざい
! jpn-Hrkt-JP: か↑てい !! jpn-Hrkt-JP: こ↑うざい
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
! rus-Cyrl-RU: проце́сс !! rus-Cyrl-RU: соста́вная часть
|-
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|  ||
|-
|-
|  ||  
|  ||  
Line 350: Line 485:


=== Related Free Educational Resources ===
=== Related Free Educational Resources ===
{| class="wikitable"
{| class="wikitable sortable"
! branch
! branch
! name
! name
Line 357: Line 492:
! public license
! public license
|-
|-
|
|
|
|
|
|
|
|
|
|
|-
|  
|  
|  
|  
|  
|}
|}


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

Revision as of 21:17, 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.