fossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 6 months agoAdvanced Mathsmander.xyzimagemessage-square5fedilinkarrow-up1210arrow-down17
arrow-up1203arrow-down1imageAdvanced Mathsmander.xyzfossilesque@mander.xyzM to Science Memes@mander.xyzEnglish · 6 months agomessage-square5fedilink
minus-squareassa123@lemmy.dbzer0.comlinkfedilinkEnglisharrow-up10·edit-26 months agoWell, those properties are only for holomorphic functions, otherwise it’s just as hard or worse. Edit: ’
minus-squareKogasa@programming.devlinkfedilinkEnglisharrow-up3·6 months agoHolomorphicity is equivalent to (or defined as) being differentiable in a nonempty, connected, open set, so it’s not asking much. Even then, functions which fail to be holomorphic can often be classified in a similarly rigid way.
minus-squareitsnotits@lemmy.worldlinkfedilinkEnglisharrow-up4arrow-down1·6 months ago it’s* just as hard
Well, those properties are only for holomorphic functions, otherwise it’s just as hard or worse. Edit: ’
Holomorphicity is equivalent to (or defined as) being differentiable in a nonempty, connected, open set, so it’s not asking much. Even then, functions which fail to be holomorphic can often be classified in a similarly rigid way.