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SW-User
Consecrated.
helenS · 36-40, F
@SW-User Yes, and infinitesimals are the Holy Grail.
SomeMichGuy · M
@helenS ...for continuous things, perhaps...
helenS · 36-40, F
@SomeMichGuy Yes. A function f(x) is continuous at x=x_0 if and only if an infinitesimal change of x_0 leads fo an infinitesimal change of f(x_0):
x_1 = x_0 + dx → f(x_1) = f(x_0) + dy.
x_1 = x_0 + dx → f(x_1) = f(x_0) + dy.
Harmonium1923 · 51-55, M
@helenS You’re such an integral part of my life.
helenS · 36-40, F
@Harmonium1923 Oh thaaank you! 

SomeMichGuy · M
@helenS Yes, I had the first semester of calculus, too. lol
But infinitesimals are creatures of continuous things, not discontinuous ones...and someone who quotes Kronecker probably knows that values associated with HIS δ are discrete (unlike those associated with the Dirac δ, which are continuous)...
But infinitesimals are creatures of continuous things, not discontinuous ones...and someone who quotes Kronecker probably knows that values associated with HIS δ are discrete (unlike those associated with the Dirac δ, which are continuous)...