Gollum@feddit.de to Science Memes@mander.xyzEnglish · 2 years agoUsing a sledgehammer to crack a nuti.imgur.comimagemessage-square5linkfedilinkarrow-up1223arrow-down16
arrow-up1217arrow-down1imageUsing a sledgehammer to crack a nuti.imgur.comGollum@feddit.de to Science Memes@mander.xyzEnglish · 2 years agomessage-square5linkfedilink
minus-squareEufalconimorphlinkfedilinkEnglisharrow-up3arrow-down5·2 years agoWell, you’ve got 1. And -1. And sqrt(-1). And the unit pseudoscalars of the Clifford algebras for every number of dimensions. So there are a countably infinite number of solutions. Can anyone find a bigger set? Something with an uncountably infinite set of solutions?
minus-squareKogasa@programming.devlinkfedilinkEnglisharrow-up7·edit-22 years agoThere’s only 2. sqrt(-1) isn’t a solution. There are at most 2 over any integral domain.
Well, you’ve got 1. And -1. And sqrt(-1). And the unit pseudoscalars of the Clifford algebras for every number of dimensions.
So there are a countably infinite number of solutions. Can anyone find a bigger set? Something with an uncountably infinite set of solutions?
There’s only 2. sqrt(-1) isn’t a solution. There are at most 2 over any integral domain.
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