4 ms·
> Okay, I know what exponential increase means This is the first thing that needs to break in your intuition. The "increase" that occurs with "repeated multipl
by banachtarski 6y ago
> Okay, I know what exponential increase means
This is the first thing that needs to break in your intuition. The "increase" that occurs with "repeated multiplication" in the layman's understanding of exponentials is associated with the real numbers or subsets of the real numbers.
In reality, the exponential map is a repeated "action," where the action can be rotational, as is the case with the imaginary numbers. You can also exponentiate matrices, polynomials, quaternions, etc. Each one has a well-defined exponential map, which you can write down and evaluate.