Sentence examples for measure was equivalent from inspiring English sources

Furthermore, the tendency for a measured MI/Hi,j value to be higher than the randomized measure was equivalent to that of the MI values (Figure 1B; this equivalency is a mathematical consequence), suggesting that the phylogenetic biases were still to some degree present.

Patrick Gau, a lawyer who specializes in defending graffiti sprayers, told the newspaper Süddeutsche Zeitung that the measure was equivalent to "shooting a cannon at birds".

This statistical measure is equivalent to time-averaged, scanning mobility particle size (SMPS) measurements in turbulent flames.

For example, the RCA measure is equivalent to the lift.

Changing the measure is equivalent to searching for a function F t) such that ∫ T r x ( t, t ) F ( t ) d t < ∞ (1).

Then, we prove that the trace optimization of the proposed measure is equivalent with the objective functions of algorithms such as nonnegative matrix factorization, kernel K-means as well as spectral clustering.

This measure is equivalent to the actual growth rate multiplied by the ratio of the actual change in the Watts index to the change in the same index that would have occurred had growth been distribution neutral.

We prove that the limit as ε→0 exists, the limit measure is equivalent to the Wiener measure on C [0,1],M), and we compute the corresponding density explicitly in terms of scalar and mean curvature.

Furthermore σ(t) has the quasi-invariance property: the law (σ(t)∗ν) of σ(t) with respect to the Wiener measure is equivalent to ν for all tϵ.R.

We consider the disintegration of the Lebesgue measure on the graph of a convex function f Rn→R w.r.t. the partition into its faces, which are convex sets and therefore have a well defined linear dimension, and we prove that each conditional measure is equivalent to the k-dimensional Hausdorff measure on the k-dimensional face on which it is concentrated.

Finally, Achard et al.[35] proved that the quadratic dependence measure is equivalent to Q X) = 0 ⇔ x i are indenpendent from each other and Q can be estimated as follows: Q ̂ ( X ) = 1 2 Ê ( F ( X ) ) + 1 2 ∏ i = 1 n Ê ( f ( x i ) ) − Ê ∏ i = 1 n f ( x i ).