Sentence examples for Defined as above from inspiring English sources

Claim 2 Let C 1 + and C 1 + be the sets defined as above.

Claim 1 Let S 1 and S 2 be the sets defined as above.

Let (mathcal {S}_{1}) and (mathcal{S}_{2}) be the sets defined as above.

Each partition (defined as above) was given a separate clock model.

I agree that, for the purposes of box-checking, "above" shall be defined as "below" and "below" shall be defined as "above," unless the box below is checked.

Let, defined as above, satisfy condition (3.2).

Let be defined as above, and let with.

Theorem A. Let be defined as above, and let be defined on by (1.3).

Equipped with the Hilbert-type operator defined as above, we have the following theorem.

Theorem B. Let be defined as above, and let be defined on by (1.5).

This shows that the mapping T defined as above is a total quasi-asymptotically nonexpansive mapping.