In effect, as other passages make clear (van Heijenoort 1967, 429 430), the (unachieved) aim is to show that classical mathematics is translatable into intuitionistic mathematics, and thereby give a consistency proof of classical mathematics relative to intuitionistic mathematics.
Alex Wilkie showed that the field of real numbers with a symbol for exponentiation is o-minimal and has a model-complete complete theory, and thereby gave a positive answer to Tarski's old problem of whether this structure allows a quantifier elimination, though his method was very far from the syntactic analysis that Tarski had in mind.
Paul Offit, a leading vaccine researcher and advocate, has also noted a tendency in the media to provide false balance by perpetually presenting both sides of an issue even when only one side is supported by the evidence and thereby giving a platform for the spread of misinformation.
At the point where distinct groups within the data are forced to be joined, costs should increase significantly in comparison to neighboured values and thereby give a hint at a suitable number of clusters to be built from the given data.
Cardiac glycosides are known to inhibit Na+-K+-ATPases [ 38], leading to increased calcium levels and thereby giving a possible mechanism for their effect on autophagy.
For example, a total dose of about 30 50 Gy, given with 0.1 1.0 Gy/h, seems necessary to decrease the single cell survival probability to 10−5 [ 23, 24], and thereby give a reasonable chance of killing 10 tumour cells.
With the next inspiration, this cloud will pass the gas sampling port together with carbon dioxide-rich air and the gas monitor will erroneously display this early inspiratory peak as end-tidal, and thereby give a falsely high reading.
As it is increasingly being stimulated and recommended to measure and report compliance in web-based research [ 19, 30], in this trial, weblogs made it possible to register web activity for each participant individually and thereby give a reliable estimation of individual program exposure.
The vote is bound to anger the Arab world by suggesting that Palestinians should not expect a state to emerge from negotiations with Israel, and thereby giving an advantage to those groups, like the radical Palestinian movement Hamas, which argue for continued armed struggle.
The African children should have been named, and thereby given real identities as individuals.
