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Notice, however, that the inner sum is simply the total sum of entries in I, M, except for the rows i and k and columns j and l, see Figure 6(b).
The sum of absolute difference of entries in the vector on the larger genomes never exceeds 0.5% (as a percentage of the sum of entries in the vector) and is typically well below 0.25%; even on the smaller genome, the difference does not exceed 2% and is typically below 1%.
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Since computing GIs (of all orders) amounts to taking sums of entries in the writhe matrix, only significant entries will have significant contribution to GI. Significant entries in the writhe matrix correspond to backbone crossings, where backbone segments with non-parallel directions pass one another at a close distance.
The percentage of OA entries was calculated by taking the number of OA entries and dividing it by the sum of the entries into both open and closed arms.
The sum of the entries on each row is normalized to 1. Bold entries mark the array size p where the maximum frequency for level i occurs.
The sum of the entries on each row is normalized to 1. Bold entries mark the array size p where each correlation level has maximum frequency.
This yields
Notice that though the diagonal entries in the Markov matrix corresponding to a circle may change the sum of these entries must be constant if we wish to preserve the homotopy type of the map.
For a given molecule the sum of all entries (except for the symbol S) in the rows associated with, plus the sum of all entries in the corresponding columns equals the number n of its intermolecular H-bonds.
Then, for all x ∈ W j. For all j, the vectors are substochastic, and the sum of their entries decreases in each step, i.e, Probability mass is "lost", because we do not consider the entries for x ∈ W j -1\ W j, as we multiply with D j.
A quantity of particular interest is the number of red balls drawn, which is just the sum of the entries in this numerical description of the experimental outcome.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com