For (Ainmathcal{M}_{n}), let (s_{1}(A) geq s_{2}(A) geqcdots geq s_{n}(A)) denote the singular values of A, i.e. the eigenvalues of the positive semidefinite matrix (vert A vert = (A^A)^{frac{1}{2}}) arranged in a decreasing order with their multiplicities counted.
The code allows to calculate the efficiency of the TAC for every neutron capture state, as a function of energy, crystal multiplicity, and counting rate.
Finally, we tested the cumulative effects of methylated genes on tumor multiplicity by counting the number of selected genes independently associated with this phenomenon in each subject.
If f − β and g − β have the same zeros, counting multiplicity (ignoring multiplicity), then we say f and g share the small function β CM (IM).
For a non-constant meromorphic function f and a set S of complex numbers, we define the set E S, f) = ∪a∈S{z|f z) - a = 0}, where a zero of f - a with multiplicity m counts m times in E S, f).
Does an education in the Humanities count in today's day and age?" In their vibrant multiplicity, they count in the most human way possible: by helping us count beyond '1'--beyond ourselves, beyond what we know--in ways that exceed what the accounting numbers and salaries tell us is "more".
If (f z -a) and (g(z)-a) have the same zeros counting multiplicities (ignoring multiplicities), we say that (f z -aand (g z -ashare a CM (IM).
