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UwU brat mathematician behavior (lemmynsfw.com)

submitted 2 days ago by [email protected] to c/[email protected]

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[–] [email protected] 25 points 2 days ago (2 children)

I think rather d/dx is the operator. You apply it to an expression to bind free occurrences of x in that expression. For example, dx²/dx is best understood as d/dx (x²). The notation would be clear if you implement calculus in a program.

[–] [email protected] 18 points 2 days ago (1 children)

If not fraction, why fraction shaped?

[–] [email protected] 2 points 2 days ago

If you use exterior calculus notation, with d = exterior derivative, everything makes so much more sense

[–] [email protected] 4 points 2 days ago

I just think of the definition of a derivative.

d is just an infinitesimally small delta. So dy/dx is literally just lim (∆ -> 0) ∆y/∆x. which is the same as lim (x_1 -> x_0) [f(x_0) - f(x_1)] / [x_0 - x_1].

Note: ∆ -> 0 isn't standard notation. But writing ∆x -> 0 requires another step of thinking: y = f(x) therefore ∆y = ∆f(x) = f(x + ∆x) - f(x) so you only need ∆x approaching zero. But I prefer thinking d = lim (∆ -> 0) ∆.