Fourier Transform
Explain this to a curious 12-year-old
The unit of knowledge is not the answer but the question you can't yet answer. Understanding arrives through repeated failure.
Something about holes? They both have one hole so they're the same. But that can't be right because a straw has two holes...
It's about continuous deformation without cutting or gluing. The handle of the mug corresponds to the hole in the donut. But I still can't explain why genus matters more than shape...
It's called the devil's interval because it sounds bad? That's not an explanation. It's six semitones exactly...
Dimensional analysis: energy is kg⋅m²/s², and c² gives m²/s². So mc² works dimensionally. But why is c the relevant velocity? Because it's invariant under Lorentz transformations...
Good questions expose gaps. If you can answer it easily, it's not worth tracking.
You understand something when you can make a child understand it. Knowledge dissolves into language.
Explain this to a curious 12-year-old
Explain this to a curious 12-year-old
Explain this to a curious 12-year-old
Explain this to a curious 12-year-old
+ Add concept — what do you think you understand?
Understanding is not in nodes but in edges. The relationship between two ideas is the knowledge—not the ideas themselves.
"Shannon entropy measures uncertainty, which is equivalent to information content—the less predictable, the more information conveyed"
"Optimal compression assigns shorter codes to more probable events—compression IS probability modeling"
"Maximum entropy means maximum randomness—true randomness is incompressible"