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Every waveform in nature is just exponentials added together. The Laplace Transform tells you exactly how much of each one — and that single idea turns unsolvable differential equations into basic algebra. ChatGPT, Claude, every robot arm and circuit on the planet runs on systems analyzed with this tool.... show more
52,520 просмотров • 1 месяц назад •via X (Twitter)
Комментарии: 7

Bilal1 месяц назад
It would be nice to mention the creator of this video on YouTube @EugeneKhutoryansky

Dr. Mathhattan1 месяц назад
worth adding: everything's discrete now so it's actually the Z-transform doing the daily work in digital control systems, laplace is the continuous-time ancestor

Bellache1 месяц назад
This could be pushed even further since many compression algorithms also use FFT.

Adeptus Econicus1 месяц назад
... ... ... while my 5 year old could answer by looking at the word, he cant spell strawberry reliably yet.

gabriel1 месяц назад
Thanks for this. Thanks Laplace

菅野正人1 месяц назад
数学的にはたった1本の単位ベクトルが支点を原点にして回転して描く単位円が全てですよ。 e ^i ωt=cos ωt+i sin ωt フラクタル自然数1単位ベクトル→の定義なければ、単位ベクトルの位相計算すら始まりませんよ。 リーマン予想 証明完了!

Craig Colley1 месяц назад
The cardiac cycle is a pattern that resonates and underpins consciousness
