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That's cheating. One would need to also define F, c, ε0, J, assuming ∇ is known from calculus. Which would make for 5 lines :)
by alquemist 6y ago
That's cheating. One would need to also define F, c, ε0, J, assuming ∇ is known from calculus. Which would make for 5 lines :)
- handol 6y agoYou can't really get away with just knowing del from vector calculus, as this is the geometric-calculus del. ∇F = ∇ . F + ∇ /\ F But for defining the terms you're going to need a couple paragraphs to go along with the one equation.
- alquemist 6y agoFor those curious, ∇ . F is called 'interior derivative' and relates to divergence, whereas ∇ /\ F is called 'exterior derivative' and relates to curl. https://en.wikipedia.org/wiki/Geometric_calculus#Interior_and_exterior_derivative https://en.wikipedia.org/wiki/Geometric_calculus#Interior_an...
- yiyus 6y agoWell, but if you need to define the gradient, curl and divergence and every term in the equations, the typical representation would be more than 20 lines. So I think that it's a fair comparison.