Image Of Zero Measure Set. However if we assume the mapping is continuously differentiable then the mapping cannot stretch the set too much. Almost everywhere means except on a set of measure 0.
Then you can make the cover of e as small as you want to have the total measure of f e be zero. Hot network questions what is the meaning of dbi. Despite being well studied a characterization of such functions would seem to be a fairly deep problem.
If you change pre image to image then you are asking about lusin s condition n.
Psnr is measured in decibels db. So the cantor set is uncountable. These sets are small in some senses but they can behave surprisingly. Does every positive lebesgue measure set in mathbb r 2 contain a product of positive lebesgue measure sets up to a null set.