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The funniest thing about it is that “zero” and “partial” are at odds with each other. Whoever decided to juxtapose those terms is genius.

Maybe they just meant larger values of zero.

Any n-dimensional value that is 0 in one dimension is partial zero. There is a kernel of truth.

f(x,y) = x^2 has a zero partial derivative.

Yes and any number plus zero is partially zero.