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Under these conditions, each grain exhibits the same Schmid factor, within a very small variance.
E 1 has a very small variance projected onto a, σ a,1, compared to the variance for E 2, σ a,2.
For high and low input frequencies, the result is as expected, the output Pr distribution is peaked at values near zero and (P_{mathrm{max}}), respectively, with very small variance (see Fig. 2).
The standard particle filter has a common problem that it turns out to be inadequate when the dynamic system has a very low process noise, or if the observation noise has very small variance [34].
Actually some of such variables have a very small variance; anyway our optimal double shrinkage estimator of the covariance matrices of the clusters guarantees positive definite estimates also in this situation, stabilizing thus the local Mahalanobis distances that we use in our procedure.
The median observed level of load is very close to the expected one with a very small variance for white noise.
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That made it easier for traders to make money by placing very large orders for very small variances in the price of a stock.
Again, this indicates that competition for profitable loans is such that banks have to maintain very small variances in the returns from the loan portfolio value.
Both conditions are related and occur when the data set includes very closely related taxa: small distances would have very small variances, and the distances between these taxa and the other OTUs would be highly correlated (and thus far from being independent).
This model was characterized by strongest preferences for the following: Attachment (n = 216) Stability, with autonomy being a close second (n = 197) There appear to be very small variances on the latent scale, at least for those 351 respondents in the high scale (low variance) class.
Multimedia transmission needs to meet the following requirements, namely high bandwidth, low error rate, low delay, and very small delay variance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com