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. | ||
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 | ||
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! 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-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 || | | 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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! 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 | ||
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! 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-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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| arithmetic mean || | | arithmetic mean || | ||
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| | | Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem || | ||
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| characteristic function | | 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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| dependent variable || variable | | dependent variable || variable <algebra> | ||
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| event | | 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 | | experiment || set <mathematical logic>; outcome; randomness | ||
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| independent variable || variable | | independent variable || variable <algebra> | ||
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| jointly exhaustive, collectively exhaustive || set < | | jointly exhaustive, collectively exhaustive || set <mathematical logic>; event | ||
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| Markov chain, Markov process || sequence | | 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 | | normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value | ||
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| outcome | | outcome || experiment | ||
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| probability distribution || function | | probability distribution || function <mathematical logic>; outcome | ||
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| random variable || dependent variable | | probability measure || measure <mathematical analysis>; real-valued function; probability space | ||
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| random variable || dependent variable; randomness; outcome | |||
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| sample space || experiment | | sample space || experiment | ||
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| tree diagram | | tree diagram || probability space; event; independence | ||
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| trial || experiment | |||
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| | | uncorrelatedness || covariance | ||
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[[File:1024px-Dice_Distribution_(bar).svg.png]] | [[File:1024px-Dice_Distribution_(bar).svg.png]] | ||
== * Appendix * == | == * Appendix * == | ||
=== Adjective & Adjective Phrase; Verb & Verb Phrase === | |||
{| 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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| independent || independence | |||
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| pairwise independent || pairwise independence | |||
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=== Symbol === | === Symbol === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! symbol | ! symbol | ||
! eng-Latn-US: concept | ! 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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=== Process === | === Process === | ||
{| class="wikitable" | {| class="wikitable sortable" | ||
! eng-Latn-US: process | ! eng-Latn-US: process !! eng-Latn-US: constituent | ||
! eng-Latn-US: | ! 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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|} | |} | ||
=== 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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{{Sci-Tech-Index-Menu}} | |||
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 | ||||||||||||||
* 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 |
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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 |
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Related Free Educational Resources
branch | name | link | language | public license |
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