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Indeed, if we make a classical estimation of the approach distance r i e of an electron from the impurity (K B T ∼ Z e2/r i e ), we find that it is comparable to the thermal De Broglie wavelength λ T which is equal to: λ T = h/(2π m e K B T 1/2[6, 7].
For an error, summarized by the tuple ε = (r, i, e ), we define the support supp (ε, α x ) as the number of matching base pairs in overlap alignments between r and correct reads voting for e at position i: supp is computed for all reads that vote for error type e, by subtracting from the total overlapping bases (left and right) the number of errors in the overlap [given by E ].
At low excitation power I e, we find a neutral exciton peak X with full width at half maximum (FWHM) of 180 μeV for the shallow-hole QD and of 60 μeV for the deep-hole QD.
Then, the following constraints are added to the program: (14) η = i ⇒ s v = I e i (v ) ∀ i = 1.. k, v ∈ I e We use the restricted version of the algorithm in the application to the real datasets where the set of experimental conditions was predefined.
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Since I(E)<∞, we have that E=Ψ(2) is also an eigenvalue.
Consider recovering x ‡ from y ‡ =A x ‡ by applying the modified-CS with the known support T∪{ i e }, we denote the RP as P T ∪ { i e } ( x ( 1 ) = x ‡ ; A, N ∪ { i e } ).
Proof (i) Taking V x, i) = ||x||, x ∈ R q, i ∈ E, we complete the proof in terms of theorem 4.3.
For every edge (0, i) ∈ E, we "inactivate" it by setting w0, i to infinity if v i can be reached from another vertex v j in the MSCG G; otherwise, we set w0, i = 0. Similarly for edge (i, M + 1) ∈ E, w i,M + 1 is assigned infinity if there is an edge from v i to another vertex v j in the MSCG G, or 0 otherwise.
Taking V x, i) = ||x||, x ∈ R q, i ∈ E, we complete the proof in terms of theorem 4.3.
If (i, j ) ∈ E, we say i is a parent of j and j is a child of i.
This assumption does not lead to any loss of generality, as for any set of event rates Γ = { γ i, i ∈ I e }, we can replace it by Γ m = { γ i / max i ∈ I i γ i, i ∈ I e }, and the steady state solution for the original event rates Γ can be obtained from the scaled Γ m with the scale factor max i ∈ I i γ i.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com