Sentence examples for basis of the given from inspiring English sources

Before Gödel's discovery, it had seemed plausible that a mathematical system could be complete in the sense that any well-formed formula of the system could be either proved or disproved on the basis of the given set of postulates.

The restorations were first designed, disregarding the manufacturing process, in order to have a single geometry for the subsequent comparisons and were then produced in dental laboratories on the basis of the given geometry.

We construct (11) only on the basis of the given scattering data.

The algorithm in pseudocode presented below generates a graph on the basis of the given IFC-Step file.

The definition of validity singles out those proof structures which are 'real' proofs on the basis of the given reduction procedures.

If the ship can locate its neighbors, it tries to allocate time slots on the basis of the given MAC protocol.

The dosages were selected on the basis of those given to patients for the treatment of symptomatic OA [ 6].

Finally, on the basis of the provisions given by the CNR-DT 200 R1/2013 document, the possibility of defining design relationships, able to take into account also durability aspects, is discussed.

This was done on the basis of the information given by the articles that accompany the X-ray structures.

The curves were plotted on the basis of the data given in Figs. 7, 8, and 9.

We consider these superposition states for comparison with the projected case and on the basis of the insight given by the analytical solution for (theta=0), see Eq. (6).