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An exact equation for e


Semjase

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does this mean that e is not a transcendental number?

No, we have proofs that e is transcendental. Having a closed expression that like, which is correct, does not change these proofs.

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I've found an exact equation for e without pi

 

e=(cos(1/2)+i*sin(1/2))^(2/i)

 

does this mean that e is not a transcendental number?

If you find a polynomial with rational coefficients that has e as a zero, then e would not be transcendental. That's the definition.

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