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Exact(4)

The dimension of modulation region is determined by the value of X0 max, for which the correlation coefficient reaches the maximum value.

This could be implemented by using the lowest p ≤ p max for which the multipole-acceptance criterion is satisfied.

If there is a t < t max for which ( {widehat{Q}}_i(t)={k}_i ), then t is a solution to (6.2).

The value of s max for which U t is the lowest (red dot) indicates the number of candidate discordant outliers in the full sample.

Similar(56)

In practice, we exit the POD-greedy sampling procedure at N = N max ≤ N max, 0 for which a prescribed error tolerance is satisfied: to wit, we define ε N, max ∗ = max μ ∈ Ξ train Δ N ( t K ; μ ), and terminate when ε N, max ∗ ≤ ε tol ∗.

The S-46 includes a much less demanding examination program and the participants cover a much broader part of the original cohort, whereas the S-49 was a very intensive and demanding examination program, including for example ventilated hood measurements of metabolic rates and VO2 max measurement, for which we needed to select participants capable of completing such program [12].

The computational method developed in this study was also validated by predicting 229 miRNAs of A. thaliana and 462 miRNAs of G. max, of which 213 for A. thaliana and 397 for G. max are existing in miRBase 20.

An illustration is given in Figure 10, for Δt = 1s, α = 1 and σ o, j 2 = 0. 01. Figure 10 Exact biases and variances, numerically computed using ( 19), their approximations obtained through ( 1) and ( 21) and the computed bounds [ y min ′, y max ′ ] for which these approximations are accurate.

Figure 15 Bounds of the dynamic range [ y min ′, y max ′ ] for which ( 23) and ( 21) are accurate (up to an error ∝ erf − k / 2 + 1 ).. The main idea of our approach is: when little is known about the noise model parameters α j, β ij, σ o, j 2, we can always select reasonable upper bounds (or in case of α j, an upper bound for the reciprocal α j − 1 ) for the values of these parameters.

As a result, they've reduced the overall funding from £20k per team to £5k for the idea plus £3,200 per founder (max 3 founders) for which they have also reduced the shareholding from 8%to6%6%.

Such a construction can be mathematically formulated as a min-max optimization problem for which efficient numerical strategies are of utmost importance.

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