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When and are considered, we obtain (for small ).
When the magnetic field is further considered, we obtain a fully valley-polarized current.
If we separate the previous ROC in one relating to files doubly compressed with positive Δ and one to files doubly compressed with negative or zero Δ, as is shown in Figure8 (right), when doubly compressed files with positive Δ are considered, we obtain an almost perfect classifier, while when the cases with negative or zero Δ are analyzed, we are next to the random classifier.
When mtDNA sequences from all other modern bovine haplogroups (I, R, Q and T) are considered, we obtain a maximum possible estimate of modern contamination of 0.85%.
Similar(56)
Indeed, if we consider, we obtain (25).
Using (20) and (7) and considering, we obtain (22).
Simplifying, (3) Considering, we obtain (4) Figure 1 shows the relative light interception by species 1 and 2 as a function of their contribution to the LAI of the mixture.
By using (28) in (27) and considering that, we obtain (29).
Computing the inner product of (2.17) with and considering and, we obtain (218).
Since m, n are arbitrary, considering (1), we obtain varepsilon < D_{T}bigl(T^{nu+1}x,T^{nu+1}ybigr) leqvarepsilon, which implies a contradiction.
Applying (2.7) and (2.11) to (2.9) and considering (2.8), we obtain two interesting identities asserted by the following theorem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com