Sentence examples for general proof from inspiring English sources

In general, proof of onward travel features in the entry requirements for many countries,, but is rarely asked for.

In the ancient arithmetics such results are invariably presented as particular cases, without any general notational method or general proof.

As part of Szemerédi's general proof of the Erdős-Turán conjecture, he originated a key result in graph theory which became known as Szemerédi's regularity lemma; it states that any graph can be broken up into smaller graphs that appear random.

The general proof is very similar but more complicated.

The term "general proof theory" was coined by Prawitz.

A more general proof in the same vein is presented in Olsson (2002).

Through design and process modification many of these constraints have been addressed, and a microfluidics-based device capable of real-time monitoring of the pH change caused by Lactobacillus casei fermentation is presented as a general proof-of-concept for a wide array of possible devices.

Since Aristotle regards such proofs through particular lines as general proofs, the opening claim is actually to be understood as standing for the general claim that there are lines.

We provide simpler and more general proofs that unify the real-valued and complex-valued cases, showing that in both cases the landscape of the error function is invariant under certain groups of transformations.

Although this definition can be useful for concrete problems, it is far too complicated to produce elegant general proofs; there are too many cases to consider.

Altogether this provides general proof-of-principle that the genes we identified as part of the response towards aberrant tissues can be studied at the functional level and that Santa-maria in particular acts as a positive regulator of the phenotypes we observe upon RasV12-expression.