Sentence examples for conclude the assumption from inspiring English sources

Remark 3.1 Regarding the definition of d 2 : X × X → [ 0, ∞ ), that is, d 2 ( ( x, y ), ( u, v ) ) = d ( x, u ) + d ( y, v ) = d ( y, v ) + d ( x, u ) = d 2 ( ( y, x ), ( v, u ) ), one can conclude the assumption (15) is very natural but not necessary. For example, consider a partially ordered set ( X, ⪯ ), then, we set ( X × X, ⪯ 2 ) as in (1).

"As the parliamentary commission on banking standards concluded, the assumption that failing banks would receive public support was part of a toxic cocktail of misaligned incentives which contributed to the financial crisis," he said.

Especially, we conclude the following: under Assumption 1, the stochastic model (4) is stochastically permanent; under Assumption 2, the stochastic model (4) is persistent in mean.

On the other hand, the authors conclude that the assumption of the existence of a stochastic trend in the main macroeconomic series is valid and resembles the behavior of the United States data.

To further analyze this discrepancy, we utilize a modified thermodynamic analysis with empirical observations as input, and conclude that the assumption of thermodynamic equilibrium at IA is not valid at lower IA temperatures.

Assuming that all the information is correct (and the fact that average heights in both 1990s samples are quite similar is encouraging), comparing the 1981 82 POLS to the 2006 10 DNB we can conclude that the assumption of a constant variance is reasonable7.

However, from the obtained regulatory parameters we may conclude that the assumption about the dual interaction between hb and Kr leads to the most consistent results.

To conclude, the present research supports the assumption that malfunction or lesion of cortical areas not involving the thalamus can indeed be associated with pushing behaviour.