The True Power of the Laplace Transform

A magical bridge between two parallel worlds

Kasper Müller
Cantor’s Paradise
10 min readMar 28, 2024

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This visualization depicts two parallel worlds connected by the mathematical concept of the Laplace transform, contrasting the time domain with the frequency domain.
Image generated by AI

Suppose you’re facing a complex question or a very hard problem, difficult to solve due to limited tools or knowledge. Imagine now that you have the ability to carefully reformulate this problem into a new and easier one. Not only can you solve this transformed problem, but you can also convert its solution back into a…

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Mathematician, programmer and writer interested in the mysteries of the Universe, fascinated by the human mind, music and things that I don’t understand.