Sentence examples for but are defined on from inspiring English sources

end{aligned}These operators are no longer defined on Fock space, but are defined on (mathcal O V)).

For, let the function be defined on as follows: (2.11).

But only the functions which are defined on are considered.

Next, in (47), all functions are defined on, but it will be convenient to solve the following equations (51).

They are defined on Class similarly to the way they are defined on Set.

The poles are defined on constant velocity.

The functions and are defined on by.

The cubic splines are defined on a graded mesh.

(H5) and are defined on and, respectively, where.

All random variables are defined on the same probability space.

The binary strings are defined on the smoothed patches.