MATH 1007 Chapter Notes - Chapter 7-8 & 19-20: United States Congressional Apportionment, Highest Averages Method, Monotonicity Criterion
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Apportionment- a method designed to round real numbers into whole numbers: maki(cid:374)g a (cid:862)fai(cid:396) sha(cid:396)e(cid:863) of seats a(cid:272)(cid:272)o(cid:396)di(cid:374)g to a state/(cid:272)ou(cid:374)t(cid:396)y populatio(cid:374) Fractional part is the decimal after a number (1. 33= 33) N- positive integer which stands for the number of states in the problem. H- the number of seats in the house of representatives. Pk- the population of the kth state: population of the first state is denoted p1 and the 17th state is denoted p17. P- the total population of all states: p= p(cid:1005)+p(cid:1006)+ . +pn. Census- refers to the numbers h, n, and p1,p2,pn collectively: output- is to be a list of n whole numbers that we donate by a1,a2,a3,an. Ak- as the number of seats accorded to the kth state: ak might equal 0 for some. Standard quota- the real number qk= h(pk/p) for the kth state: for maryland, the standard quota = 435(5,307,886/281,424,177) = 8. 2.
