Complex and Irrational Exponents for the Layman - Comments

[Isaac0427]

Isaac0427 submitted a new PF Insights post

Complex and Irrational Exponents for the Layman

Continue reading the Original PF Insights Post.

 

[Borg]

Congratulations on a fine Insights post. Very nice.

 

[Isaac0427]

Congratulations on a fine Insights post. Very nice.

Thank you very much .

 

[Samy_A]

Very good.

What's a compliment worth without a nitpick or two:
I would specify in "Unless x is a multiple of π/2, you will get a combination of imaginary and real numbers." that it must be an integer multiple of π/2.

I took me some time to more or less get what you were saying here:
"You can also have real and imaginary exponents at the same time. If you think about the unit circle, to raise e it to a real exponent x, means you stretch or compress it by x, and you do that x times. After that, you stretch it by e and you then apply the imaginary exponents."

 

[Isaac0427]

I took me some time to more or less get what you were saying here:
"You can also have real and imaginary exponents at the same time. If you think about the unit circle, to raise e it to a real exponent x, means you stretch or compress it by x, and you do that x times. After that, you stretch it by e and you then apply the imaginary exponents."

If I knew how to make and add in an animation of this, it would have probably made that section of the article more understandable.

 

[Ronie Bayron]

Way up ahead! Brilliant, Isaac!