Sentence examples for proof includes from inspiring English sources

As proof includes photos of himself with Jimmy Carter, Queen Noor, Yasir Arafat and Bill Clinton.

This proof includes an explicit design instruction for the desired nonlinear control.

The second proof includes the Lipschitz summation formula following Luo's method in [3].

Now, the proof includes applying Theorem 2.10 to show that S ( x ) has an r-maximal element x ¯ ∈ S ( x ).

The proof includes a construction of a word of small, sometimes minimal, weight in the dual code of any plane of square order containing a Baer subplane.

The first proof includes the Cauchy residue theorem and a complex integral over a circle C following Bayad's method in [4].

In court on Wednesday, a prosecutor, Edward Y . Kim said that the government's proof included Mr. Arbabsiar's "extensive" post-arrest statements.

But they promised even more proof, including video, a DNA test and, of course, a mission to capture one of the big guys.

Their published proof, including diagrams derived from more than 1,000 hours of calculations on a high-speed computer, was the first significant mathematical proof to rely heavily on artificial computation.

Key ingredients in the proof include a long-time Strichartz estimate and a frequency-localized interaction Morawetz inequality.

Main ideas in the proof include establishing pseudo-locality of the Fourier-integral operator and recent techniques from smoothed empirical processes.