Sentence examples for includes a proof from inspiring English sources

The entry on actualism includes a proof of BF.

The application of the approach shown for the SPA4USXML tool also includes a proof of concept and validation of the proposal.

Mussler includes a proof-of-concept file that made your Kindle account page throw a number of pop-up windows.

Other achievements include a proof of the quasi-ergodic hypothesis (1932) and important work in lattice theory (1935 37).

ℒ0 is adequate for the constructive part of the usual elementary mathematics—arithmetic and analysis but not for metamathematics, if this is to include a proof of Gödel's completeness theorem, and not for category theory, if this is to include the Yoneda embedding of a small category into a set-valued functor category.

We include a proof for completeness.

To be rigorous, we include a proof.

We perform a limited analysis of the proposed algorithms, including a proof of convergence for both methods.

end{aligned}The following property is well-known, but we include a proof for the sake of completeness.

The last part is dedicated to convex and log-concave functionals, including a proof of the Gaussian conjecture for a particular class of log-concave Wiener functionals.

The dual program is monotonic and sub-modular, providing stronger results, including a proof for the sufficiency of one-shot deviations.