Sentence examples for arbitrarily different from inspiring English sources

We have examined three averaging statistics that have been used previously and have shown that they can be arbitrarily different from one another, and that significant differences between them are observed in the analysis of the human methylome.

And, second, anything that stands in more than one arbitrarily different relation, each of which is grounded intrinsically in that entity, must be complex since that entity will have intrinsic "aspects" that are not identical to each other.

However, we note that the described LOS model consists of LOS and NLOS parts, with the first tap of the NLOS part being set to have the same delay as (but arbitrarily different AOA from) the LOS.

Godfrey-Smith argues that for a mapping to constitute a genuine implementation, the microscopic physical states that are clustered together (to correspond to a given computational state) must be physically similar to one another — there cannot be arbitrary groupings of arbitrarily different physical states, as in the arguments for unlimited pancomputationalism.

Moreover, many musical recordings played by TVs or radio broadcasts are often played at arbitrarily different speeds with the pitch changed or unchanged to comply with strict program schedule constraints, which constitutes the most challenging problem in the context of music identification.

Any time we observe people in the criminal justice system receiving arbitrarily different treatment compared to other groups, we have to address the race and class implications, especially when there are serious consequences related to political power and representation.

Numerical results indicate that all the approximate analytical expressions derived are very tight and can be effectively used for performance and capacity analysis of the proposed STANC system by arbitrarily changing different parameters of interest and in any SNR region.

In this paper, we present a simple method to combine two given BESs in order to improve the trade-off between ρ and ρB by finding BESs with good information rate ρ for arbitrarily many different values of the broadcast information rate ρB.

It is evident from this figure that the the amplitude ratio gets increased due to anisotropy. Figure 2c,d shows the variations of amplitude ratio | Z 3 | Open image in new window and | Z 4 | Open image in new window within the interval 0 ≤ ω ≤ 3 0 Open image in new window, oscillate arbitrarily with different amplitude and then become constant with increase in frequency.

The country is ruled arbitrarily by different pro-regime militias and security apparatuses where killing, kidnapping and looting civilians has become daily practices of the regime forces and elements, especially in Darfur.

The rows are ordered initially by the gene order from IAPAR 306, and then arbitrarily by different strains cycling through the A, Aw and A* pathotypes.