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We show that the gradient of a multi-variable strongly differentiablefunction at a point is the limit of a single coordinate-free Clifford quotientbetween a multi-difference pseudo-vector and a pseudo-scalar, or of a sum ofClifford quotients between scalars (as numerators) and vectors (asdenominators), both built on a same non degenerate simplex contracting to thatpoint. Then, we provide some conjectures implied by the foregoing result.

The local Schwarz paradox and the gradient of strongly differentiable functions