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I was also surprised when I saw that there was no standard notation for Jacobian matrices. We use the numerator notation in the article, but point out that the

by parrt 9y ago

I was also surprised when I saw that there was no standard notation for Jacobian matrices. We use the numerator notation in the article, but point out that there are papers that use the denominator notation. I think I remember from engineering school that we used numerator notation so we stuck with that.

improbable22 9y ago
This is what index notation is good for, and I encourage everyone to learn it. Jacobians are dx_a/dx_b, two indices, and clearly b belongs to the derivative. Whether it's rows or columns is an implementation detail of how you're storing these numbers. Index notation also seems natural for programming: an element A[i,j] or a slice Z[3,4,:] are precisely this.