A negligible set need not be measurable, but every measurable negligible set is automatically a null set. A measure is called complete if every negligible set is measurable.
In mathematics, measurable functions are well-behaved functions between measurable spaces. Functions studied in analysis that are not measurable are generally considered ...
meas·ur·a·ble (m zh r--b l) adj. 1. Possible to be measured: measurable depths. 2. Of distinguished importance; significant: a measurable figure in literature.