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<blockquote data-quote="Myrhdraak" data-source="post: 7029728" data-attributes="member: 6694190">My guess is that the blue line &quot;bump&quot; at Epic level in post #131 comes from the fact that the healing values are not very smooth. To get rid of this we can try to even them out by replacing them with a 3rd order polynomial (if that is the engligh word) of the 3rd order. The blue bar is the party healing each encounter using Healing Word and Encounter Powers. The red bars are the use of Daily and Utility Powers that have been evenly distributed over 3 encounters.y = -0,021x3 + 1,5703x2 - 6,918x + 17,456 (purple line)y = 0,0071x3 + 0,268x2 + 4,9741x + 23,704 (green line)[ATTACH]81244[/ATTACH]In a similar way can we also try to model the use of Healing Surges for magical healing in a similar way to make it more smooth.y = 0,00025x3 - 0,0053x2 + 0,2271x + 2,3348 (green line)y = 0,7488ln(x) + 0,5332 (purple line)[ATTACH]81246[/ATTACH]So why this exercise? Well if we now apply this &quot;smooth&quot; healing to our graph in post #131 we get rid of part of the bump. However, if we add a polynomial (black thin line) to the &quot;HS at the end of the day&quot; curve (blue line) we can see that it is still not flattish. The reason is the party damage output that differs at various levels, but the polynomial seems to indicat that we could work on our monster damage output to get something that is even more &quot;flattish&quot;, and thereby easier for DMs to plan encounters after.[ATTACH]81247[/ATTACH]</blockquote>

[QUOTE="Myrhdraak, post: 7029728, member: 6694190"] My guess is that the blue line "bump" at Epic level in post #131 comes from the fact that the healing values are not very smooth. To get rid of this we can try to even them out by replacing them with a 3rd order polynomial (if that is the engligh word) of the 3rd order. The blue bar is the party healing each encounter using Healing Word and Encounter Powers. The red bars are the use of Daily and Utility Powers that have been evenly distributed over 3 encounters. y = -0,021x3 + 1,5703x2 - 6,918x + 17,456 (purple line) y = 0,0071x3 + 0,268x2 + 4,9741x + 23,704 (green line) [ATTACH=CONFIG]81244._xfImport[/ATTACH] In a similar way can we also try to model the use of Healing Surges for magical healing in a similar way to make it more smooth. y = 0,00025x3 - 0,0053x2 + 0,2271x + 2,3348 (green line) y = 0,7488ln(x) + 0,5332 (purple line) [ATTACH=CONFIG]81246._xfImport[/ATTACH] So why this exercise? Well if we now apply this "smooth" healing to our graph in post #131 we get rid of part of the bump. However, if we add a polynomial (black thin line) to the "HS at the end of the day" curve (blue line) we can see that it is still not flattish. The reason is the party damage output that differs at various levels, but the polynomial seems to indicat that we could work on our monster damage output to get something that is even more "flattish", and thereby easier for DMs to plan encounters after. [ATTACH=CONFIG]81247._xfImport[/ATTACH] [/QUOTE]

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