Atomic force microscopy (AFM) measurements of the films morphology at the microscale are reported in Figure 2a, showing the characteristic formation of higher circular domains, corresponding to the micelles pulled out by the deposition, and a flat matrix, formed by the Pn BuA blocks.
The product ϕ r 1, i 3 ( 1 ) ϕ r 2, i 3 ( 2 ) in (57) can be replaced by f i 3, r 1, r 2, which amounts to replace the allocation matrices Φ(1) and Φ(2) by the third‐order allocation tensor F ∈ C I 3 × R 1 × R 2, the matrix F = Φ ( 1 ) ◇ Φ ( 2 ) T ∈ C I 3 × R 1 R 2 being equivalent to F I 3 × R 1 R 2 ∈ C I 3 × R 1 R 2, i.e., a mode‐1 flat matrix unfolding of the allocation tensor.
In other words, DAVID treats the GO annotation as an unweighted flat matrix.
Most of the annotation sources do not have hierarchical structures like GO, so the tool uses the kappa method directly on the equally weighted flat matrix.
Or where playing the 'I'm the boss' card in a flat, matrix-based organization, where people are spread across different regions, cultures, and time zones, is simply inappropriate?
The largest differences between the matrices were that the fraction of trips without transfer decreased with flat matrices, and the number of vehicles needed varied, usually being higher than with the default matrix.
It is clear to see that the kernel matrices under the underfitting bias are flat matrices with all '1' entries, but the kernel matrices under the linear kernel appear to be normal for all three data sets, even if there are explicit and implicit label skewness biases for the BreastIBC and Kidney data respectively.
There is an obvious difference in visual appearance between STDDV matrices for B4402 and B4403 as seen in Figure 4. Trajectory B4402 yields an unstructured, rather flat STDDV matrix (upper panel in Figure 4), while B4403 shows a distinctly structured STDDV matrix (lower panel in Figure 4).
The introduction of soot formation and speciation of the volatiles results in much improved accuracy in the prediction of species and temperature profiles in subatmospheric combustion on a flat flame matrix burner.
The column vectors of a flat mode‐n matrix unfolding X n are the mode‐n vectors of, and the rank of X n, i.e., the dimension of the mode‐n linear space spanned by the mode‐n vectors, is called mode‐n rank of, denoted by rank n ( X ).
A flat mode‐n matrix unfolding of the tensor corresponds to an unfolding under the form X S 1 ; S 2 with S 1 = { n } and S 2 = { n + 1, …, N, 1, …, n - 1 }, which gives X I n × I n + 1 ⋯ I N I 1 ⋯ I n - 1 = X n = ∑ i 1 = 1 I 1 ⋯ ∑ i N = 1 I N x i 1, …, i N e i n ( I n ) ⊗ n ∈ S 2 e i n ( I n ) T ∈ C I n × I n + 1 ⋯ I N I 1 ⋯ I n - 1. (9).
