Sentence examples for proof such from inspiring English sources

A mathematical proof, such as Zhang produced, "should resemble a simple and clear-cut constellation," he wrote, "not a scattered cluster in the Milky Way".

Proof such as a marriage certificate is required, but the cruise does not have to include the wedding date; (800) 222-1236 or www.fcwl.com.

If you can establish with some proof, such as the receipt, that it was bought there, that's the first hurdle cleared.

Visible factors of proof, such as the open possession of land and the use of wax seals on documents, were stressed, and secret trusts and informal contracts were not recognized.

The British Bankers Associationn says that in these cases banks and building societies have procedures that allow them to accept other types of proof such as a tenancy agreement or a letter from an employer.

In the long-running controversy over accusations that Mohamed Atta, one of the Sept. 11 hijackers, met in Prague with an Iraqi spy, a spokesman for President Vaclav Havel today denied a report on Monday in The New York Times that Mr. Havel had telephoned senior administration officials to explain that the Czechs had no proof such a meeting had taken place.

Mathematical proofs such as the proof of Gödel's incompleteness theorem are also long and complicated.

Existing security mechanisms for in-network aggregation often introduce considerable additional overhead, resulting from cryptographic proofs, such as signatures.

Mathematicians have presented different proofs, such as [4 6], to the original Erdös-Mordell inequality and some generalizations [7, 8].

(Actual proofs such as the ε-substitution had always been of such a kind: provide finitary procedures which eliminate transfinite elements from proofs of real statements, in particular, of 0 = 1).

For constructivists such as Kronecker, this rejection of actual infinity stems from fundamental disagreement with the idea that nonconstructive proofs such as Cantor's diagonal argument are sufficient proof that something exists, holding instead that constructive proofs are required.