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<blockquote data-quote="Sword of Spirit" data-source="post: 9846459" data-attributes="member: 6677017"><p>What does the 14/13 in your exponential equation represent?</p><p></p><p>I just spent quite some time writing up a post explaining my current work for anyone reading along, and then accidentally closed my brower. <em>Sigh</em> Sorry internet.</p><p></p><p>So here's a tiny bit that might help someone.</p><p></p><p>If you use the conceptually accurate math (XP = 1/4 eHP x eDPR where HP and DPR are both adjusted from a baseline assumed chance to hit by referring to the actual values of the monster) on the DMG Table, the best fit based on a baseline 65% chance for a PC to hit a monster is obtained by entering in a <u>baseline 50% chance</u> for a monster to hit a PC. I think that might be meaningful.</p><p></p><p>Then testing which approximated equation (since the conceptually accurate one doesn't accord 100% accurate to what they used, for reasons I mentioned before) from a bunch of variations of equations both linear and exponential that I tried all over the place is a best fit for the DMG Table assumed monsters, the winner is this:</p><p></p><p>[ATTACH=full]428125[/ATTACH]</p><p></p><p>That isn't, however, the best fit equation for the 61 basic monsters (slightly expanded number from before). The honor for that one (selected for reasons you'll see from several that will all produce only 3 failures) is this:</p><p></p><p>[ATTACH=full]428126[/ATTACH]</p><p></p><p>The only difference is the lack of the -2. But what's further is that when applying the conceptually accurate math to the actual 61 basic monsters, the best fit by far is to assume that the monsters have a 65% hit chance.</p><p></p><p>I don't know why that all works out the way it does, but it certainly seems like it means something.</p></blockquote><p></p>
[QUOTE="Sword of Spirit, post: 9846459, member: 6677017"] What does the 14/13 in your exponential equation represent? I just spent quite some time writing up a post explaining my current work for anyone reading along, and then accidentally closed my brower. [I]Sigh[/I] Sorry internet. So here's a tiny bit that might help someone. If you use the conceptually accurate math (XP = 1/4 eHP x eDPR where HP and DPR are both adjusted from a baseline assumed chance to hit by referring to the actual values of the monster) on the DMG Table, the best fit based on a baseline 65% chance for a PC to hit a monster is obtained by entering in a [U]baseline 50% chance[/U] for a monster to hit a PC. I think that might be meaningful. Then testing which approximated equation (since the conceptually accurate one doesn't accord 100% accurate to what they used, for reasons I mentioned before) from a bunch of variations of equations both linear and exponential that I tried all over the place is a best fit for the DMG Table assumed monsters, the winner is this: [ATTACH type="full" size="249x39"]428125[/ATTACH] That isn't, however, the best fit equation for the 61 basic monsters (slightly expanded number from before). The honor for that one (selected for reasons you'll see from several that will all produce only 3 failures) is this: [ATTACH type="full" size="217x39"]428126[/ATTACH] The only difference is the lack of the -2. But what's further is that when applying the conceptually accurate math to the actual 61 basic monsters, the best fit by far is to assume that the monsters have a 65% hit chance. I don't know why that all works out the way it does, but it certainly seems like it means something. [/QUOTE]
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