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Area Digital technology – Fundamental concepts / Information theory

IEV ref171-07-21

Symbol
I( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@

en
conditional information content
logarithm of the reciprocal of the conditional probability p( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@ of the event x given the occurrence of the event y

I( x|y )=log 1 p(x|y) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa cqGH9aqpjugqbiGacYgacaGGVbGaai4zaOWaaSaaaeaajugqbiaaig daaOqaaiaadchacaGGOaGaamiEaiaacYhacaWG5bGaaiykaaaaaaa@4DB5@

Note 1 to entry: The conditional information content is also the amount by which the joint information content of the two events exceeds the information content of the second: I( x|y )=I( x,y )I( y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadMeaomaabmaakeaajugibiaadIhacaGG8bGaamyEaaGc caGLOaGaayzkaaqcLbsacqGH9aqpcaWGjbGddaqadaGcbaqcLbsaca WG4bGaaiilaiaadMhaaOGaayjkaiaawMcaaKqzGeGaeyOeI0Iaamys a4WaaeWaaOqaaKqzGeGaamyEaaGccaGLOaGaayzkaaaaaa@5063@ .


[SOURCE: IEC 80000-13:2008, 13-31, modified – Addition of information useful for the context of the IEV, and adaptation to the IEV rules]


fr
quantité d'information conditionnelle, f
logarithme de l'inverse de la probabilité conditionnelle p( x|y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa aaa@4259@ de réalisation de l'événement x lorsque s'est réalisé un autre événement y

I( x|y )=log 1 p(x|y) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGjbWaaeWaaeaacaWG4bGaaiiFaiaadMhaaiaawIcacaGLPaaa cqGH9aqpjugqbiGacYgacaGGVbGaai4zaOWaaSaaaeaajugqbiaaig daaOqaaiaadchacaGGOaGaamiEaiaacYhacaWG5bGaaiykaaaaaaa@4DB5@

Note 1 à l’article: La quantité d'information conditionnelle est aussi égale à l'excès de la quantité d'information conjointe des deux événements sur la quantité d'information du second: I( x|y )=I( x,y )I( y ) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadMeaomaabmaakeaajugibiaadIhacaGG8bGaamyEaaGc caGLOaGaayzkaaqcLbsacqGH9aqpcaWGjbGddaqadaGcbaqcLbsaca WG4bGaaiilaiaadMhaaOGaayjkaiaawMcaaKqzGeGaeyOeI0Iaamys a4WaaeWaaOqaaKqzGeGaamyEaaGccaGLOaGaayzkaaaaaa@5063@ .


[SOURCE: IEC 80000-13:2008, 13-31, modifié – Ajout d’informations utiles pour le contexte de l’IEV, et adaptation aux règles de l’IEV]


ar
محتوى المعلومات المشروطة

de
bedingter Informationsgehalt, m

fi
ehdollinen informaatiomäärä

ja
条件付き情報量

pl
warunkowa treść informacji, f

pt
quantidade de informação condicional

zh
条件信息内容

Publication date: 2019-03-29
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