∫ f(x) dx = set of solutions of diff. eq. g'(x) = f(x)
Of course, writing
∫ 2x dx = { x² + C | C ∊ R }
grows old pretty fast, so we drop a couple of characters here and there, but it's pretty consistent with set-builder.
Of course, this only goes to show the article's point that what "=" means here requires a lot of context.
∫ f(x) dx = set of solutions of diff. eq. g'(x) = f(x)
Of course, writing
∫ 2x dx = { x² + C | C ∊ R }
grows old pretty fast, so we drop a couple of characters here and there, but it's pretty consistent with set-builder.
Of course, this only goes to show the article's point that what "=" means here requires a lot of context.