What is Picard theorem?
{{complex|2=Jargon. Sentence structure.|date=November 2023}} In [[complex analysis]], '''Picard's theorem''' (named after [[Émile Picard]]) tells about the [[Range (mathematics)|range]] of a [[Function (mathematics)|function]]. In brief, they state that a flat function can't transition into a non-flat function: if a function is zero at two neighboring points (i.e. flat), then it must be zero everywhere. Alternatively: sufficiently near to a zero, a function must have non-zero values. {{math-stub}} [[Category:Mathematical theorems]] [[Category:Complex analysis]]