The JPEG mathematical process, Discreet Cosine Transform (DCT) is lossy so the reverse calculation to reconstruct the image cannot reconstruct the original image but can be very close. I have not studied TIFF in great detail but is known to be lossless therefore any compression applied can be reversed perfectly to reconstruct the original image 100%. There is a trade off between minor image degradation of JPEG (if used correctly) and huge TIFF filesizes for hard disk storage and image transportation.
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