## Partial differential problem in introductory tensor analysis

So far I have only seen ∂/(∂y) as being interpreted as an operator being of no use unless it is applied to some vector etc.

Now, however, my course literature asserts the following equality:

y=∂/(∂y)

What is the interpretation of the differentials in this case?
 PhysOrg.com science news on PhysOrg.com >> King Richard III found in 'untidy lozenge-shaped grave'>> Google Drive sports new view and scan enhancements>> Researcher admits mistakes in stem cell study
 I suppose is a short way to express $\frac{\partial \psi}{\partial y}=y\psi$.
 Yes, that is a correct statement, but it relies on the asserted equality, so unfortunately it brings nothing new to the party. Luckily I have it all figured out by now, so I thank you for your answer and continue my studies. :)