Editing Talk:2768: Definition of e
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::i is a number. 1 is also sometimes called ''the unit'' by mathematicians. [[Special:Contributions/172.71.22.105|172.71.22.105]] 21:01, 27 April 2023 (UTC) | ::i is a number. 1 is also sometimes called ''the unit'' by mathematicians. [[Special:Contributions/172.71.22.105|172.71.22.105]] 21:01, 27 April 2023 (UTC) | ||
:Every number is an inherent feature of mathematics, but I don't think the number e is as special as formulas like this make it appear. What's really significant is the exponential function exp, and the number e is just exp 1. It is therefore similar in significance to √2 or ln 2. Similarly, in the identity you provide, the general form is exp iθ = cos θ + i sin θ, and plugging in θ = π is just one special case. [[User:EebstertheGreat|EebstertheGreat]] ([[User talk:EebstertheGreat|talk]]) 02:33, 28 April 2023 (UTC) | :Every number is an inherent feature of mathematics, but I don't think the number e is as special as formulas like this make it appear. What's really significant is the exponential function exp, and the number e is just exp 1. It is therefore similar in significance to √2 or ln 2. Similarly, in the identity you provide, the general form is exp iθ = cos θ + i sin θ, and plugging in θ = π is just one special case. [[User:EebstertheGreat|EebstertheGreat]] ([[User talk:EebstertheGreat|talk]]) 02:33, 28 April 2023 (UTC) | ||
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