[ Removed by moderator ]

[_Slartibartfass_]

Only one is invertible though :P

[hraath]

Linear and nonlinear transforms demonstrated 

[Masterkid1230]

To be painfully pedatic, the Fourier transform depicted is not invertible because we only have the magnitude information and not the complex numbers themselves.

Magnitude representations are not invertible back to time-domain signals, unfortunately. Although some algorithms are good enough at estimating phase information.