In this section, we provide the proofs of our main theorems for distributed SGM. We begin with some basic notations. For ease of readability, we also make a list of notations in the appendix.
Standard rank one groups were defined after Theorem D in the introduction. The goal of this section is to prove the following statement.
Our algorithms have been implemented in Python and require CPLEX1; they are freely available as part of the family-free genome comparison tool FFGC downloadable at http://bibiserv.cebitec.uni-bielefeld.de/ffgc.
This paper tested the universality hypothesis of urban scaling against a broad range or variables for a urban system in a developing country. Our findings confirm that the the scaling-law holds true for the socio-economic variables. However, we foun…
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