Parallel (operator): Difference between revisions

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:<math>\varphi(z+t)=\varphi(z)\parallel \varphi(t)</math>
 
This implies immediately that <math>\widetilde{\C}</math> is a [[field (mathematics)|field]] where the parallel operator takes the place of the addition, and that isthis field is [[isomorphism|isomorphic]] to <math>\C.</math>
 
The following properties may be obtained by translating through <math>\varphi</math> the corresponding properties of the complex numbers.