10 ms·
Not just Leibniz notation, but for example https://en.wikipedia.org/wiki/Partial_derivative https://en.wikipedia.org/wiki/Partial_derivative is total bonkers,
by bmacho 3y ago
Not just Leibniz notation, but for example https://en.wikipedia.org/wiki/Partial_derivative https://en.wikipedia.org/wiki/Partial_derivative is total bonkers, every single equation on it means the total opposite than in the rest of the mathematics.
Wtf is
> the partial derivation of a function f(x,y,z...)
or deriving a function respect to a variable? Functions don't have variables, named variables, that's Python, not math[0]. In math expressions can have free variables, and function arguments are indexed with numbers. You can derive x+y by x, or you can derive f : (x,y) |-> x+y by its first variable, but you can't mix them. That only leads to things as df(x,x)/dx and such abominations.
Multivariable calculus people really should just adopt the function notation of the rest of the mathematics fr.
[0] : https://en.wikipedia.org/wiki/Function_(mathematics)#Definition https://en.wikipedia.org/wiki/Function_(mathematics)#Definit...
- tesdinger 3y ago> Functions don't have variables, named variables, that's Python, not math[0]. No, Python named arguments are a good analogy for Leibnitz notation.
- deleted 3y ago[deleted]
- jnwatson 3y agoThe confusion is using the same namespace for argument slots and variables. It might have been clearer if, for example, Leibniz would have used Greek letters alpha and beta instead of x and y.
- bowsamic 3y agoThe verb is "to differentiate", not "to derive". You differentiate to find the derivative.