Mark Eichenlaub
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 Mar 14 revised What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$? added 87 characters in body Mar 14 revised What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$? added 5 characters in body Mar 14 comment What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$? @Billare Thanks. Should say "I'll use Gauss's..." Mar 14 comment What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$? @kake Right. It's not supposed to be a proof so much as a heuristic to suggest the identity might be true. Mar 14 answered Non-traditional math concepts for early education Mar 14 answered What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$? Mar 14 comment What is an intuitive explanation for $\operatorname{div} \operatorname{curl} F = 0$? I like the analogy to a fluid flow, but for the divergence, were you referring to many needles converging to or diverging from a point rather than one needle? That would make more sense to me since one needle cannot change its shape or grow and shrink. I'm also wary of considering a two-dimensional fluid when the curl is defined in three. Mar 12 awarded Nice Question Mar 11 comment Find maximum divisors of a number in range @Chan Think of the constraint as a surface in some high-dimensional space. You want to find the spot on the surface where some function is maximized. Then the directional derivative of the function along the surface must be zero in all directions of the surface. The directional derivative is the dot product of the gradient with the tangent to the surface, so the gradient of the function must be normal to the surface. The gradient of the constraint function is also normal to the surface, so these two gradients must differ by only a constant multiplier, called the Lagrange multiplier. Mar 11 answered Find maximum divisors of a number in range Mar 10 awarded Teacher Mar 10 answered Why does a circle enclose the largest area? Mar 5 comment Good Physical Demonstrations of Abstract Mathematics Here's a blog post I wrote a while ago about proving Vieta's formula with basic physics: arcsecond.wordpress.com/2010/09/17/… Feb 24 accepted Why is Euclidean geometry scale-invariant? Feb 23 comment Prove that Honeycomb Structures are the Most Geometrically Efficient Structure not really physics that I can tell. probably belongs in math.stackexchange Feb 23 awarded Commentator Feb 22 awarded Nice Question Feb 21 comment Why is Euclidean geometry scale-invariant? Interesting point. Then all I need to do is understand how why the Pythagorean theorem is special to Euclidean geometry. The most famous proofs that pop to mind for me involve things like similar triangles, though, and so using them would be circular reasoning. Feb 21 comment Why is Euclidean geometry scale-invariant? @Qiaochu I know some linear algebra and a little abstract algebra from studying physics, so yes a more modern treatment would be interesting, but depending on what tools it uses I might need a reference to understand the background. Feb 21 asked Why is Euclidean geometry scale-invariant?