Sentence examples for The proofs for from inspiring English sources

The proofs for Ishikawa and Noor iterations are similar.

The proofs for the rest of the statements are straightforward.

The proofs for cases (ii) and (iii) are similar and will be omitted.

The proofs for the cases in which,, or is complete are similar.

The proofs for the remaining cases are similar and we skip them to avoid repetition.

The proofs for Lemma 5 and Lemma 6 will be presented in the Appendix.

"The proof for me is really beautiful.

"What's the proof for a conspiracy?" he asked.

Another mathematician, Jürgen Moser, provided the proof for another.

The proof, for the reform-minded politician, must be whether he can actually change behavior.

This completes the proof for.