Difference between revisions of "Talk:Magic Formulas"
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[[User:Givenchy|Givenchy]] 05:33, 17 November 2009 (UTC) | [[User:Givenchy|Givenchy]] 05:33, 17 November 2009 (UTC) | ||
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| + | == Boredom Kills == | ||
| + | |||
| + | General "Rune Production Over Time" formula (math may be wrong, but core concepts are good) | ||
| + | |||
| + | Runes Decay at a rate of 1.2% net runes (represented as .012). This does not factor in the "gained" runes from towers, but rather the current runes at a given time. | ||
| + | |||
| + | Thus, standard decay rate would be | ||
| + | Runes(t) = (Current Runes) * (1 - .012)^t | ||
| + | |||
| + | This does not "calculate" the runes gained from towers this can be represented as | ||
| + | Runes(t) = Towers * t | ||
| + | |||
| + | This, however, excludes the "generated" runes from the current runes, and given "towers" is "Runes per Day" | ||
| + | Runes(t) = ((CR * decay_1 + Towers)decay_2 + Towers)decay_3 + Towers | ||
| + | Runes(t) = CR * decay ^ 3 + Towers(decay ^ 2 + decay ^ 1 + decay ^ 0) | ||
| + | Runes(t) = CR * decay ^ t + Towers * SUMMATION(decay ^ n, n = 0, n = t) | ||
| + | |||
| + | |||
| + | Using an "approximating" power series formula, what we get is | ||
| + | Runes(t) = (Current Runes) * (.988)^t + Towers * (1 - (.988)^t) / (1 - (.988)) | ||
| + | |||
| + | |||
| + | Given bushels uses a similar approach (decay of 1%) this can be adapted as such, given Farms is "Food per Day" | ||
| + | Food(t) = (Current Food) * (.99)^t + (Farms - (Food Needed)) * (1 - (.99)^t) / (1 - (.99)) | ||
| + | |||
| + | |||
| + | So there, not much use but it can help to determine if the world is round. | ||
Revision as of 02:02, 16 December 2009
Contents
Updated
I removed certain racial specific spells and included avian into the charts
also modified the chart for spell rune costs (dark elf)
everything seems to be updated to age 45
Givenchy 07:02, 3 November 2009 (UTC)
Uhh, Words
Brought the tables to the 21st century (Question: WHY were they arranged by cost mod instead of name?) removed random periods and question marks... fixed it to work, spaced it out, and now doing very little. I'm not going to touch the descriptions yet.
Are all those spaces REALLY just 100%'s? Seems like they should be.
And WTH is a "Magic Formula" I can't find that in game and it seems like a complicated way of saying "Magic Spells" --Stupid 02:25, 16 November 2009 (UTC)
hi
Durations don't match Mystics
- Indeed they don't, i'm not sure where they come from. Unless anyone has a good reason i will change them to match teh Mystics page, as these max durations come straight from the Devs. --Bishop 11:00, 16 November 2009 (UTC)
More..
I wasn't the one who made the table, I just made some changes to make it more accurate. So, I don't really know
Givenchy 05:33, 17 November 2009 (UTC)
Boredom Kills
General "Rune Production Over Time" formula (math may be wrong, but core concepts are good)
Runes Decay at a rate of 1.2% net runes (represented as .012). This does not factor in the "gained" runes from towers, but rather the current runes at a given time.
Thus, standard decay rate would be
Runes(t) = (Current Runes) * (1 - .012)^t
This does not "calculate" the runes gained from towers this can be represented as
Runes(t) = Towers * t
This, however, excludes the "generated" runes from the current runes, and given "towers" is "Runes per Day"
Runes(t) = ((CR * decay_1 + Towers)decay_2 + Towers)decay_3 + Towers Runes(t) = CR * decay ^ 3 + Towers(decay ^ 2 + decay ^ 1 + decay ^ 0) Runes(t) = CR * decay ^ t + Towers * SUMMATION(decay ^ n, n = 0, n = t)
Using an "approximating" power series formula, what we get is
Runes(t) = (Current Runes) * (.988)^t + Towers * (1 - (.988)^t) / (1 - (.988))
Given bushels uses a similar approach (decay of 1%) this can be adapted as such, given Farms is "Food per Day"
Food(t) = (Current Food) * (.99)^t + (Farms - (Food Needed)) * (1 - (.99)^t) / (1 - (.99))
So there, not much use but it can help to determine if the world is round.
