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HoG [10] assumes that all addresses have the same impact, so it will determine P event as the probability of any two addresses (i.e. AB, AC, AD, BC, BD and CD) to be mapped in the same set, plus the probability of three addresses to be mapped in the same set (i.e. ABC, ABD, BCD), plus the probability of the four addresses to be mapped in the same set (i.e. ABCD).
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The probability of a given combination of addresses a C i to be mapped in the same set is shown in Eq. 2. The probability of one address to be mapped in a specific set is 1/S, and so the probability of mapping |a C i | addresses in a specific set is (left (1/Sright)^{|{aC}_{i}|}).
Reaching valid conclusions regarding genomic interactions requires Hi-C data to be mapped unconventionally (described below) as compared with most paired-end experiments.
In each simulation, all the addresses in a C i are forced to be mapped to exactly one random set.
However, in a practical implementation of RP framework, the price c i could be mapped to real monetary units.
In this study, 16 SNPs derived from functional genes or ESTs related to complex genetic basis for interesting quantitative traits in productions such as muscle myosin heavy chain (MHY; SNP0038), TNF-related apoptosis inducing ligand (TRAIL; SNP0053) and c-Fos (c-fos; SNP0067) were mapped on to the linkage map at high confidence level.
Thus, the operation to get or set the value of the attribute of A or C element is mapped to the same operation on the related attribute of B element.
The output of this block is the matrix C ̂ = g ̂ E ̂ P ̂ ( C ) E ̂ D ̂ ( C ) Z ̂ (C) ∈ C ( N + L ) × 1 + R p ( C ) + J ~ L + R z, such that the m th element of x ̂ (C) is mapped to C ̂ m - ( N + L ) ⌊ m N + L ⌋, ⌊ m N + L ⌋.
Hi-C reads were mapped to the assembled scaffolds with BWA62 (version 0.7.15-r1140).
The bit vector c A is mapped to a BPSK symbol vector x A, via the mapping 0↦+1, 1↦−1, before the transmission takes place.
To exploit the desired structure, each EEG channel signal a ch = [a ch (1) a ch (2) ⋯ a ch (S ], c h = 1,…,C h is mapped to a Hankel matrix H ch ∈ R J × K with J = K = N + 1 2 if N is odd, or J = N 2 and K = N 2 + 1 if N is even.
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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