Notation for DEs in Hilbert spaces

Look guys, I appreciate and understand that Hilbert are self-dual, but if you use two different notations for differentiation in a single equation when you could've used just one -- you got to really mean it.

Look at this:

Wherefore do you write so many symbols if could've written less and thus avoided being a liar? Take for a Hilbert space in discussion, the left hand site is the derivative -- a row-vector , and the RHS is a column -- same derivative encoded as a vector.

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