i cracked open a quantum physics book and stumbled upon this piece: "I(?, T)d?", i had no idea what dv meant, turns out it is only an increment, but a function multiplied by an increment doesnt seem right, mostly because i have never seen infinitesimals used in this way, only to represent derivatives
>The precise meaning of the variables dy and dx depends on the context of the application and the required level of mathematical rigor. The domain of these variables may take on a particular geometrical significance if the differential is regarded as a particular differential form, or analytical significance if the differential is regarded as a linear approximation to the increment of a function. In physical applications, the variables dx and dy are often constrained to be very small ("infinitesimal").
>depends on the context
https://sites.google.com/site/thecalculuscontroversy/leibniz-s-differential-form
SO IT DEPENDS ON THE CONTEXT AND APPARENTLY THERE IS NOTHING EXEMPLIFYING HOW THEY ARE USED IN EACH CONTEXT
WHY USE LEIBNIZ DIFFERENTIAL FORMS THEN
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