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Grant Sanderson: 3Blue1Brown and the Beauty of Mathematics
Lex Fridman Podcast
The Power of E to the x and Complex Exponentiation
The power of E to the x is often misunderstood. It addresses situations where the rate of change depends linearly on its own value. It can be visualized as an exponential curve. However, there are cases where the relationship is different, such as the velocity of a ball on a string. Complex exponentiation tries to capture this concept, but it can be confusing. In simple terms, e to the pi i means choosing an origin and always moving perpendicular to the vector from that origin to you.
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