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For each slide, we recorded the presence or absence of TDLUs; TDLU "diameter", defined as the maximal linear span of epithelium (relative to 400 × microscopic fields, approximated in 0.25 increments) and number of acini per TDLU (0 to 10, 11 to 20, 21 to 30, 31 to 50, 51 to 100, > 100).
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where, as before, 〈·〉 denotes linear span.
The linear span and the closed linear span of any family of vectors x are denoted Span(x) and (overline {text {Span}}({boldsymbol {x}})), respectively.
Let denote the closure of the linear span of the root vectors of the linear operator.
Then A is not the linear span of its projections.
Note that, in particular, (g_i|_{A_i}) and (h_j|_{B_j}) are injective, where (A_i) is the linear span of (L_i) and (B_j) is the linear span of (R_j).
As stimulus frequency we used that of the respective maximal sensitivity in (a) (frequency of maximal linear response).
In this case, one has the vector space decomposition, where 〈·〉 denotes linear span.
Therefore, it becomes apparent that the complex finite linear span of precisely all the functions resp.
The linear span of in is The Minkowski functional of is a norm on.
Then, we may define an RKHS by the linear span of the set of functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com