Revision as of 06:12, 24 November 2020 edit DrewPsiPi (talk \| contribs) 4 edits Pretty sure I’ve figured out how to add the Tilda onto the rest of the infinites to be sure they are unsigned. This is a notation fix. Tags: Reverted Mobile edit Mobile web edit ← Previous edit		Revision as of 06:14, 24 November 2020 edit undo DrewPsiPi (talk \| contribs) 4 edits →Dividing by zero: Fixed the notation, making the infinities unsigned. Tags: Reverted Mobile edit Mobile web edit Next edit →
Line 14: :<math>\frac{a}{0} = \tilde{\infty}</math> for nonzero ''a''. In particular {{math\|1/0 {{=}} ∞<math> \tilde{\infty}</math>}}, and moreover {{math\|1/∞<math> \tilde{\infty}</math> {{=}} 0}}, making [[Multiplicative inverse\|reciprocal]], {{math\|1/''x''}}, a [[total function]] in this structure. The structure, however, is not a [[field (mathematics)\|field]], and none of the binary arithmetic operations are total, as witnessed for example by {{math\|~~0⋅∞~~0⋅ <math> \tilde{\infty}</math>}} being undefined despite the reciprocal being total. It has usable interpretations, however – for example, in geometry, a vertical line has ''infinite'' [[slope]]. ==Extensions of the real line==

Projectively extended real line: Difference between revisions