Tag Archives: differential equations

A beautiful depiction of a 1-form by Robert Ghrist. You never thought understanding a 1→1-dimensional ODE (or a 1-D vector field) would be so easy! What his drawing makes obvious, is that images of Phase Space wear a totally different meaning … Continue reading

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Proof that differential equations are real. The shapes the salt is taking at different pitches are combinations of eigenfunctions of the Laplace operator. (The Laplace operator  tells you the flux density of the gradient flow of a many-to-one function ƒ. As eigenvectors … Continue reading

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The universe is a song, singing itself.

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Laplace Transform

The LaPlace Transform is simpler than I thought. It’s just the continuous version of a power series. Think of a power seriesas mapping a sequence of constants to a function.Well, it does, after all. Then turn the ∑ into a … Continue reading

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