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--- public:calculating_the_size_of_a_set_by_observing_the_proportionality_change_of_its_disjoint_subsets [2019/04/16 10:55] – [Formal Problem statement] fangfufu
+++ public:calculating_the_size_of_a_set_by_observing_the_proportionality_change_of_its_disjoint_subsets [2019/04/17 02:00] – [Solution] fangfufu
@@ Line 5: / Line 5: @@
 So the questions are: how many people actually voted in the poll? How many people voted for each option?
-After presenting my original solution to [[public:the_number_of_people_voted_in_an_instagram_poll|Instagram polling]] problem to Cosmin, [[https://scholar.google.co.uk/citations?user=S7UZ6MAAAAAJ&hl=en|Cosmin Gorgovan]], he said:
+After presenting my original solution to [[public:the_number_of_people_voted_in_an_instagram_poll|Instagram polling]] problem to [[https://scholar.google.co.uk/citations?user=S7UZ6MAAAAAJ&hl=en|Cosmin Gorgovan]], he said:
 <blockquote>
 If you make observations before and after one vote, you can directly calculate the total number of votes from the weight of that one vote.
@@ Line 44: / Line 44: @@
 By dividing the above equation by $|A|$ and rearrangement, we obtain:
-$$ |A|  = \frac{-n(\delta_{a_1} - 1 + \alpha_1)}{\delta_{a_1}} $$
+$$ |A|  = \frac{n(1 - \alpha_1 - \delta_{a_1})}{\delta_{a_1}} $$
 You know everything in the right hand side of the equation, so solving $|A|$ is very easy.