1^i | one in power i | 1**i | Math 01/09
One in power i. This is my first example of the unusual behaviour of complex numbers in real space. One in power i is not always 1 and I will show it to you today. Furthermore, I will prove, this is the correct result!
1**i, this example will show you, that complex numbers are very different from real numbers and it is important to be very accurate when working with them.
M̲̲y̲ l̲e̲c̲t̲u̲r̲e̲s̲:
▶ Math / 01 - Complex numbers: • Math / 01 - Complex numbers
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▶ Text version: http://mycoding.uk/a/one_in_power_i.html
Lecture content:
0:00 – Introduction and wrong calculation of 1^i
0:15 – 1 in Euler form
0:25 – Accurate power calculation for 1^i
1:15 – Examples of multiple answers for 1^i
1:41 – Proving that all these answers are correct.
2:45 – Final answer
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