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The symbols (r(A)), ({mathscr {R}}(A)), and ({mathscr {N}}(A)) stand for the rank, the range (column space, and the kernel (null space) of a matrix (A in{mathbb {C}}^{m times n}), respectively.
Minimum value reported in the "Range" column is the lowest quantified concentration.
The GC was equipped with a DB-WAXetr (extended temperature range) column of 30 m x 0.25 mm x 0.5 μm and was coupled with a flame ionization detector (FID).
In family × BT combinations with small numbers, the number of individuals in the susceptible pools was low (10 to 12 birds), hence an additional susceptible pool (Type II pool) was created, which contained the next most susceptible 20% of birds (cut off points demarcating the two pools can readily be inferred from the range column of Table 1).
Remember from above the R18E means the 18th range (column) east of the starting point, followed by the 32nd township north of the starting point.
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For example, in range, columns of A are time-delayed replicas of the transmitted waveform that is usually a linear chirp (linear frequency modulation (LFM)) because of the optimal processing gain.
The range columns in Table S1 of the Supporting Information show the values obtained by dividing the minimum and the maximum by the weighted average and expressing this as a percentage, and this may be taken as the range in which the weighted average is valid.
Format Cell Range columns A E bold.
The alloy nanoparticle (number (6) in Table 1) is completely distinguishable from all of the other structures in both orientations, although even for a truly random alloy (as demonstrated here) there are short-range (column-to-column) fluctuations in both the ADF STEM and the EDX signal.
The numerical analysis was performed on high strength steel columns over a range of column lengths for various temperatures.
As can be noted, keeping constant the total erupted mass, and in the investigated range of column heights, the higher the column, the smaller the hazard area.
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