4 ms·
So: e is the basis giving rise to a group homomorphism between (R,+) and the unit circumference. That is: e is inherently trigonometric. Not irrelevant.
by pfortuny 7y ago
So: e is the basis giving rise to a group homomorphism between (R,+) and the unit circumference. That is: e is inherently trigonometric. Not irrelevant.
- thaumasiotes 7y agoe is related to the complex numbers through trigonometry. And pi is related to trigonometry more directly than that. But e and pi are not related to each other; "being related" isn't transitive like that. Consider correlations. A correlation is necessarily "transitive" if the correlation values are very, very close to ±1, and not otherwise. If a correlates with b at 0.7, and b correlates with c at 0.68, the correlation between a and c might be 0.69, but only by coincidence.
- jcranberry 7y agocorrelations are not a good analogy, homomorphisms often preserve desirable properties or relationships.