Sentence examples for in the notation section from inspiring English sources

We obtain the following iterative algorithm, with I the number of iterations: We recall that we have used the notations in bold defined in the notation section.

Let D,E ∈ B N×M be gene to pathway allocations, as described in the Notation section, such that P-D ∈ B N×M and P-E ∈ B N×M, i.e. D and E are allocations of genes.

We have added a full list of parameters and symbols with their definitions in the Notation section.

where (boldsymbol bar {mathbf {y}}-mathbf {F}tilde {mathbf {h}}boldsymbol ^{mathbf {2}} = left [|bar {y}_{1}-mathbf {F}_{1}tilde {mathbf {h}}|^{2}, hdots, |bar {y}_{P}-mathbf {F}_{P}tilde {mathbf {h}}|^{2}right ]^{T}) (see the note on the notation in bold |.| 2 in the Notations section).

In the notation of section 2, this implies E[u] < 0.

In the notation of Section 2.1, that specification corresponds to setting,, if, and otherwise.

Since the error estimator ϱ is associated with elements, I (T ) = T in the notation of Section  8.

From Lemma 3.5 we have (in the notation of Section 2.4 ) that h = O (| ξ | 3 ), so that the discussion before Eq. (11) applies.

We begin by explaining the problem of tomographic reconstruction and popular reconstruction methods in the "Notation and concepts" section.

In the notation used in Section 2.5, this corresponds to the transformation REML and (because the data are complete and no 'truncation' was required to provide a positive semi-definite between-study covariance matrix) the proposed method provides results that are invariant to this transformation, that is and.

Data were simulated per the assumptions listed in the Assumptions, definitions and notation section.