6.19 Malapportionment

Equality of voters:

$$\frac{v_1}{s_1} = \frac{v_2}{s_2} = \text{ ... } = \frac{v_i}{s_i}$$

$$\frac{s_i}{TS} = \frac{v_i}{TV} \forall i$$

where:

• $TV$ = a total number of inhabitants or eligible voters;
• $TS$ = a total number of seats to be apportioned;
• $v_i$ = a number of inhabitants or eligible voters in the $i-$th district;
• $s_i$ = a number of seats to be assigned to the $i$-th district.