Source: wikibot/equivalence-measure-theory
= Equivalence (measure theory)
{wiki=Equivalence_(measure_theory)}
In measure theory, "equivalence" can refer to several different but related concepts, depending on the context. Below are a few common interpretations: 1. **Equivalent Measures**: Two measures \\(\\mu\\) and \\(\\nu\\) defined on the same \\(\\sigma\\)-algebra are said to be equivalent if they "give the same result" in the sense that they assign the same sets measure zero.