Sentence examples for partition m from inspiring English sources
Consider a finite partition M = ∑ i { Ω i } of R N and Ω i is unbounded.
The partition (M 1, M 2) is performed according to case 1-1 in Algorithm 1, and the summation of 1,-1,-1 is -1.
If the outer loop were unrolled, then Algorithm 1 partitioning the array space would yield the 128 lattices partitioning M, as displayed in Fig. 8, instead of the linearly bounded lattice representing the partition M from Fig. 6.
for any subset M of the rows of A, there exists a partition (M 1, M 2) of M such that each column q satisfies ∑ p ∈ M 1 a pq - ∑ p ∈ M 2 a pq ≤ 1. See [22].
It looks for a module partition M (i.e., a set of cluster assignments) of N nodes into m clusters that minimizes the following expected description length of a single step in a random walk on the graph: {text{L}}left( {text{M}} right) = {text{q}}*{text{H}}left( {text{Q}} right) + mathop sum limits_{i = 1}^{m} p_{i} Hleft( {P_{i} } right).
It partitions m objects into r clusters such that each object belongs to the closest cluster in terms of mean distance.
We make this third condition precise by requiring that the spacetime admits a global time slice Σ (i.e., a spacelike hypersurface without edges);[9] that Σ is two-sided and partitions M into three parts—Σ itself, the part of M on the past side of Σ and the part of M on the future side of Σ and that there are no CTCs that lie on the past side of Σ.
Therefore, we now additionally performed external cross-validation using m - 1 partitions (m = 34) for feature selection and training, and used the remaining part for unbiased testing of the classifier.
The optimization was performed separately for each pair (C i; sPC j), using a bin size δ b of 0.01 and a target number of partitions m of 25, equivalent to the number of structural alphabet states.
Energy partition E m (left column) and frequency broadening Δ m (right column) as functions of time in units of ion gyroperiods for three distinct modes: fundamental ion Bernstein mode (IB1), its second harmonic (IB2), and oblique ion cyclotron mode (IC).
