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

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{| class="wikitable sortable"
{| class="wikitable sortable"
! eng-Latn-US: concept !! eng-Latn-US: prerequisite
! cmn-Hans-CN: 科目
! cmn-Hans-CN: 概念 !! cmn-Hans-CN: 前提
! cmn-Latn.Pinyin-CN: kēmù
! cmn-Latn.Pinyin-CN: gàiniàn !! cmn-Latn.Pinyin-CN: qiántí
! deu-Latn-DE: Fach [n]
! deu-Latn-DE: Begriff [m] !! deu-Latn-DE: Voraussetzung [f]
! eng-Latn-US: subject
! fra-Latn-FR: concept [m] !! fra-Latn-FR: préalable [m]
! fra-Latn-FR: matière [f]
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 科目
! jpn-Hrkt-JP: が↓いねん !! jpn-Hrkt-JP: ぜ↑んてい
! jpn-Hrkt-JP: か↑もく
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: предме́т
|-
|-
| probability theory ||  
|  
| 概率论 ||  
|  
| gàilǜ lùn ||  
|  
| Wahrscheinlichkeitstheorie [f], Wahrscheinlichkeitsrechnung [f], Probabilistik [f] || 
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| théorie [f] des probabilités ||  
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| 確率論 ||  
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| か↑くりつ↓ろん ||  
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| тео́рия вероя́тностей ||  
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== Main ==
{| class="wikitable sortable"
{| class="wikitable sortable"
! 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-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 59: Line 49:
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|-
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| arithmetic mean ||
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| arithmetic mean ||
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Line 68: Line 58:
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|-
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| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
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| Bayes' theorem, Bayes' law, Bayes' rule, Bayes–Price theorem ||
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|-
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| Bernoulli process || random variable; stochastic process
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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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| characteristic function || probability space; random variable; probability distribution
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|-
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| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
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| Chebyshev's inequality, Bienaymé–Chebyshev inequality || probability distribution
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Line 104: Line 94:
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|-
|-
| dependent variable || variable <algebra>
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| dependent variable || variable <algebra>
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|-
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| deterministic system || determinism <metaphysics>
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| deterministic system || determinism <metaphysics>
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Line 122: Line 112:
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|-
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| elementary event, atomic event, sample point || event; outcome; sample space
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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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| event || subset <mathematical logic>; sample space
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|-
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| experiment || set <mathematical logic>; outcome; randomness
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| experiment || set <mathematical logic>; outcome; randomness
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Line 149: Line 139:
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|-
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| independent variable || variable <algebra>
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| independent variable || variable <algebra>
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Line 158: Line 148:
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|-
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| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
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| jointly exhaustive, collectively exhaustive || set <mathematical logic>; event
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Line 167: Line 157:
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|-
|-
| law of large numbers || expected value
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| law of large numbers || expected value
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Line 176: Line 166:
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|-
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| law of total probability || marginal distribution; conditional probability
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| law of total probability || marginal distribution; conditional probability
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Line 185: Line 175:
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|-
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| Markov chain, Markov process || sequence; event; stochastic process
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| Markov chain, Markov process || sequence; event; stochastic process
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Line 194: Line 184:
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|-
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| outcome || experiment
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| outcome || experiment
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Line 203: Line 193:
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|-
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| probability axioms, Kolmogorov axioms ||
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| probability axioms, Kolmogorov axioms ||
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Line 212: Line 202:
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|-
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| probability measure || measure <mathematical analysis>; real-valued function; probability space
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| probability measure || measure <mathematical analysis>; real-valued function; probability space
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Line 221: Line 211:
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|-
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| random variable || dependent variable; randomness; outcome
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| random variable || dependent variable; randomness; outcome
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|-
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| randomness ||
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| randomness ||
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|-
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| sample space || experiment
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| sample space || experiment
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|-
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| stochastic process, random process || random variable
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| stochastic process, random process || random variable
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Line 257: Line 247:
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|-
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| tree diagram || probability space; event; independence
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| tree diagram || probability space; event; independence
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|-
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| trial || experiment
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| trial || experiment
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|-
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| uncorrelatedness || covariance
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| uncorrelatedness || covariance
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|-
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| variance || expectation; deviation; sample mean; population mean
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| variance || expectation; deviation; sample mean; population mean
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Line 305: Line 295:
{| class="wikitable sortable"
{| class="wikitable sortable"
|+ probability distribution
|+ probability distribution
! 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-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
! jpn-Jpan-JP: 概念 !! jpn-Jpan-JP: 前提
Line 314: Line 304:
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
! rus-Cyrl-RU: конце́пция !! rus-Cyrl-RU: предпосы́лка
|-
|-
| probability distribution || function <mathematical logic>; outcome
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| probability distribution || function <mathematical logic>; outcome
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|-
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| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
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| binomial distribution || binomial coefficient <number theory>; discrete probability distribution
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|-
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| discrete probability distribution  || probability distribution
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| discrete probability distribution  || probability distribution
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| logistic distribution || probability distribution <probability theory>
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| logistic distribution || probability distribution <probability theory>
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|-
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| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
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| normal distribution, Gauss distribution, Laplace–Gauss distribution || probability distribution; random variable; arithmetic mean; expected value
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|}
|}


== Appendix ==
<center>
=== Sentence ===
https://upload.wikimedia.org/wikipedia/commons/thumb/1/12/Dice_Distribution_%28bar%29.svg/512px-Dice_Distribution_%28bar%29.svg.png
{| class="wikitable sortable"
</center>
! 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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|-
| A and B are independent || independence
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| A and B are pairwise independent || pairwise independence
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|-
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|  ||
|}


=== Symbol ===
{{Sci-Tech-Index-Menu}}
{| 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
|
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|-
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|
|
|}
 
=== 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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|}
 
=== Resource under a Public License ===
{| class="wikitable sortable"
! name
! language
! link
|-
|
|
|
|-
| Probability Theory
| English
| https://github.com/MacroAnalyst/Probability_Theory
|-
|
|
|
|}


<center>[[File:1024px-Dice_Distribution_(bar).svg.png]]</center>
==Other Lessons==
 
* [[Language/Multiple-languages/Vocabulary/Optics|Optics]]
{{Sci-Tech-Index-Menu}}
* [[Language/Multiple-languages/Vocabulary/Logic|Logic]]
* [[Language/Multiple-languages/Vocabulary/Numerals|Numerals]]
* [[Language/Multiple-languages/Vocabulary/Collocations-with-take|Collocations with take]]
* [[Language/Multiple-languages/Vocabulary/Unit-of-Measurement|Unit of Measurement]]
* [[Language/Multiple-languages/Vocabulary/Longest-words|Longest words]]
* [[Language/Multiple-languages/Vocabulary/Similarities-between-French-and-Spanish|Similarities between French and Spanish]]
* [[Language/Multiple-languages/Vocabulary/Musical-Notes-in-Many-Languages|Musical Notes in Many Languages]]
* [[Language/Multiple-languages/Vocabulary/Lack-of-love-in-many-languages|Lack of love in many languages]]
* [[Language/Multiple-languages/Vocabulary/Computer-Language|Computer Language]]
* [[Language/Multiple-languages/Vocabulary/Count-from-1-to-10-in-many-languages|Count from 1 to 10 in many languages]]
* [[Language/Multiple-languages/Vocabulary/Similar-Business-Entities|Similar Business Entities]]
* [[Language/Multiple-languages/Vocabulary/Topology|Topology]]
* [[Language/Multiple-languages/Vocabulary/Geometry|Geometry]]
* [[Language/Multiple-languages/Vocabulary/Wine-Terms|Wine Terms]]
<span links></span>

Latest revision as of 13:52, 27 March 2023

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
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

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

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Sci–Tech Index

40px-3-4.svg.png Introduction

Philosophy

40px-1-4.svg.png Logic

40px-0-4.svg.png Metaphysics

Mathematics

40px-2-4.svg.png Mathematical Logic

40px-0-4.svg.png Category Theory


40px-2-4.svg.png Number Theory


40px-1-4.svg.png Algebra


40px-1-4.svg.png Geometry


40px-1-4.svg.png Probability Theory

40px-1-4.svg.png Statistics

40px-1-4.svg.png Information Theory


40px-1-4.svg.png Mathematical Analysis


40px-1-4.svg.png Topology

40px-1-4.svg.png Discrete Mathematics


40px-1-4.svg.png Computational Science

Physics

40px-1-4.svg.png Mechanics

└ 40px-1-4.svg.png Structural Analysis

└ 40px-1-4.svg.png Tribology

40px-1-4.svg.png Thermodynamics


40px-1-4.svg.png Optics


40px-1-4.svg.png Acoustics


40px-1-4.svg.png Electromagnetism

40px-1-4.svg.png Electronic Component


40px-0-4.svg.png Metrology

└ 40px-1-4.svg.png Unit of Measurement


40px-0-4.svg.png Particle Physics

Biology

40px-1-4.svg.png Cell Biology

Chemistry

40px-1-4.svg.png Chemical Element

40px-0-4.svg.png Material Science

└ 40px-0-4.svg.png Metallurgy

40px-0-4.svg.png Computer Science
40px-1-4.svg.png Technical Drawing
Mechanical Engineering

40px-0-4.svg.png Mechanism

40px-1-4.svg.png Machine Element

40px-1-4.svg.png Metalworking


40px-0-4.svg.png Hydraulics and Pneumatics


40px-1-4.svg.png Theory of Inventive Problem Solving

Software Engineering

40px-1-4.svg.png Computer Language

Systems Science

40px-0-4.svg.png Chaos Theory

40px-0-4.svg.png Cybernetics

└ 40px-0-4.svg.png Control Theory

40px-0-4.svg.png Robotics

40px-0-4.svg.png Anthropology

40px-0-4.svg.png Psychology
40px-0-4.svg.png Linguistics

Sci–Tech Index is under the CC BY 4.0 license

Other Lessons[edit | edit source]

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