We define the family M ( m ∗ ) of all m ∗ -measurable subsets of T, i.e., M ( m ∗ ) = { E ⊂ T : m ∗ ( A ) = m ∗ ( A ∩ E ) + m ∗ ( A ∩ E c ) for all A ⊂ T }.
The collection M ( m ∗ ) of all m ∗ -measurable sets is a σ-algebra, and the restriction of m ∗ to M ( m ∗ ), which we denote by μ Δ, is a countably additive measure on M ( m ∗ ).
The saturation magnetization (Ms) of all the samples was below that of bulk Ni (54 emu/g).
If M is a finite-dimensional Λ -module, the set S M of all submodules of M is the disjoint union of the sets G e ( M ) consisting of all submodules of M with fixed dimension vector e.
Diameter at breast height (DBH; measured at a height of 1.3 m) of all trees was measured in millimetres.
Mean comparisons had shown that % M of all Eos except CO (44%) and EO (40%) was statistically significant.
But one could also consider the set ℘(M) of all subsets of M, and by Cantor's theorem the cardinality of ℘(M) ought to be strictly bigger than the purported maximum m: contradiction.
All areas of a coal mine that can be safely traveled must be adequately rock dusted within 12 m of all working faces.
Figure 7 shows that the polarization curves of copper in the presence of 5 × 10−6 M of all BPP_ 1 7 inhibitors.
In each plot, species, diameter at breast height (dbh = 1.4 m) of all stems ≥ 2.5 cm dbh, and snag abundance were recorded.
