The Plastic Brain

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Didn’t know tron meant dude….

Via zatoism:

The best explanation of an atom EVER.

Why can’t more teachers teach like this??????

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Salty eigenfunctions of the Laplace operator.

I’ll leave the explanation to the good folks below. I just find it beautiful.

Trblogged from hiremebecauseimsmart:

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 Delta f = sum_{i=1}^n frac {partial^2 f}{partial x^2_i}. tells you the flux density of the gradient flow of a many-to-one function ƒ. As eigenvectors summarise a matrix operator, so do eigenfunctions summarise this differential operator.)

Remember that sound is compression waves — air vibrating back and forth — so that pressure can push the salt (or is it sand?) around just like wind blows sand in the desert.

Notice the similarity to solutions of Schrödinger PDE’s from the hydrogen atom.

When the universe sings itself, the probability waves of energy hit each other and form material shapes in the same way as the sand/salt in the video is doing. Except in 3-D, not 2-D. Everything is, like, waves, man.

To quote Dave Barry: I am not making this up. Science fact, not science fiction.

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A Tale of Two Twins (by Yuanjian Luo)

A story book unfolds the incredible tale of a pair of identical twins who, after one of them embarking on an intergalactic journey at near the speed of light, age at vastly different rates. Intrigued by the seemingly impossible situation, the narrators invite the audience into a lively chat on special relativity concepts, such as time dilation and nonequivalent reference frames, that are the culprits behind Einstein’s famous Twin Paradox.

Reblogged rom scipsy

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Something to think about next time you are in free fall…

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It’s orthogonal linearity belies the circular and sinusoidal functions hidden in its nature, and revealed only when it is in motion.

PS – anyone know what this little bugger is called?

[Edit – It’s called at Trammel of Archimedes!]


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