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where superscript "L" denotes every non-unique left inverse of matrix polynomial (mathbf {{underline {Sigma }}}^{mathrm {L}}left (q^{-1}right)).
For each transaction, the mapper generates (langle key, value rangle) pairs where key denotes every item in transaction and value is an integer 1 (lines 4 6).
Mapper yields all possible pairs for the pruned transaction as (langle key, value rangle) pairs where key denotes every pair in the pruned transaction and value is an integer 1 (lines 4 6).
For each transaction, the mapper generates (langle key, value rangle) pairs where key denotes every (k -itemset for a transaction and value is an integer 1 (lines 4–6).
Please note subscript i denotes every RE type, and j denotes the different sectors; i.e., x ij denotes the amount of fossil fuel (ktoe) replaced by RE i in sector j.
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We will denote every such diagram by.
We will denote every such diagram by ((p,q)).
A sequence of integers denoting every sampled portion of the curve is thus obtained.
Peak: We denote every cell hosting a local density maximum as a peak.
Finally, in this paper, we denote every positive constant by the same symbol C or c without confusion.
Throughout the paper, we denote every positive constant by the same symbol C or c without confusion.
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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