Outside this carefully demarcated sphere, there is no underlying trust, no assumption of shared values, and no presumed equality.
There is in fact no assumption of commitment in school worship today, except a commitment to journeying with saints and sinners in the company of the great religious traditions of the world.
Terms of the agreement were not disclosed in the release, but a person with knowledge of the negotiations, who declined to be identified because the agreement had not yet been made final, said the sale price was approximately $20 million with no assumption of debt - a low price for a major metropolitan daily.
Novel in this method is that no assumption of refractive index profile is needed.
To fill this gap, this paper studies system (1.1) which has no assumption of Lipschitz condition.
We also note that there is no assumption of convexity at this point.
This test was used because no assumption of normal distributions was made.
As can be seen in the algorithm statement, there is no assumption of any specific network model.
These tests have the advantage of requiring no assumption of normality, and they usually compare medians rather than means.
This type of problem is often called blind signal separation (BSS) because there is no assumption of the source characteristics.
Because of this, the proposed algorithm has the advantage that it does require no assumption of statistical models of measurement noise and of object dynamics.
