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Farsight Studios
The Pinball Arcade / Farsight Studios
(An attempt at) The top 40 TPA players from leaderboard scores
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<blockquote data-quote="vikingerik" data-source="post: 151618" data-attributes="member: 3745"><p>The math sounds intense. Doesn't this end up creating a feedback loop? The point value of each table changes depending on who the top 100 players are... which changes based on the point values of each table. <img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="smilie smilie--sprite smilie--sprite1" alt=":)" title="Smile :)" loading="lazy" data-shortname=":)" /> I suppose a closed-form solution is possible but that's talking about solving 100 simultaneous equations which would take a PhD in Wolfram Mathematica or some such.</p><p></p><p>More seriously, this sounds more trouble than it's worth and makes the chart that much harder to understand. Keep it simple with the tables equal. TOTAN may be worth just singularly ignoring as a special case; there really isn't any other table that has its problems.</p><p></p><p></p><p></p><p>So if that's right, the IFPA method slopes downward even more drastically for the top 50 than any of the other methods. Did we want that? It does flatten out nicely below #50 though (and of course it would since it's merely linear from #32 down.)</p></blockquote><p></p>
[QUOTE="vikingerik, post: 151618, member: 3745"] The math sounds intense. Doesn't this end up creating a feedback loop? The point value of each table changes depending on who the top 100 players are... which changes based on the point values of each table. :) I suppose a closed-form solution is possible but that's talking about solving 100 simultaneous equations which would take a PhD in Wolfram Mathematica or some such. More seriously, this sounds more trouble than it's worth and makes the chart that much harder to understand. Keep it simple with the tables equal. TOTAN may be worth just singularly ignoring as a special case; there really isn't any other table that has its problems. So if that's right, the IFPA method slopes downward even more drastically for the top 50 than any of the other methods. Did we want that? It does flatten out nicely below #50 though (and of course it would since it's merely linear from #32 down.) [/QUOTE]
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Farsight Studios
The Pinball Arcade / Farsight Studios
(An attempt at) The top 40 TPA players from leaderboard scores
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