T(x,y)=I(x)−I(x|y)
Note 1 to entry: The two events are particularly a message at the message source of a channel and a message at the message sink of the channel.
Note 2 to entry: The transinformation content can also be expressed as: T(x,y)=I(x)+I(y)−I(x,y), where I(y) is the information content of the event y. From this follows that it is symmetric in x and y: T(x,y)=T(y,x).
T(x,y)=I(x)−I(x|y) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aacaWGubGaaiikaiaadIhacaGGSaGaamyEaiaacMcacqGH9aqpcaWG jbGaaiikaiaadIhacaGGPaGaeyOeI0IaamysaiaacIcacaWG4bGaai iFaiaadMhacaGGPaaaaa@4C1D@
Note 2 to entry: The transinformation content can also be expressed as: T(x,y)=I( x )+I( y )−I( x,y )MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadsfacaGGOaGaamiEaiaacYcacaWG5bGaaiykaiabg2da 9iaadMeaomaabmaakeaajugibiaadIhaaOGaayjkaiaawMcaaKqzGe Gaey4kaSIaamysa4WaaeWaaOqaaKqzGeGaamyEaaGccaGLOaGaayzk aaqcLbsacqGHsislcaWGjbGddaqadaGcbaqcLbsacaWG4bGaaiilai aadMhaaOGaayjkaiaawMcaaaaa@5424@ , where I(y) is the information content of the event y. From this follows that it is symmetric in x and y: T(x,y)=T(y,x) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgaruWqVvNCPvMCG4uz 3bqee0evGueE0jxyaibaiGc9aspC0FXdbbc9asFfpec8Eeeu0lXdbb a9frFj0xb9Lqpepeea0xd9s8qiYRWxGi6xij=hbba9q8aq0=yq=He9 q8qiLsFr0=vr0=vr0db8meaabaGacmaadiWaaiWabaabaiaafaaake aajugibiaadsfacaGGOaGaamiEaiaacYcacaWG5bGaaiykaiabg2da 9iaadsfacaGGOaGaamyEaiaacYcacaWG4bGaaiykaaaa@4856@ .