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Standings gains... Does it matter in what order?
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KC-01000011
Deep Core Mining Inc.
Caldari State
#1 - 2012-05-15 20:29:00 UTC
Hello,

I've been wondering about this for some time now, you often see in mission guides numbers that state: +1,03% corp standing, +0,98% corp standing, + 3,56% corp standing.

And from what I understand this is the relative amount of the difference between your standing and 10 you gain. (so if you have 2 standing then you get that procent of 8 added, right?)


But i'm wondering, does it matter in what order you do you missions ? (as in, do the most raising missions (3%) first and the smaller ones later (0,5%) or the other way around)

Or it just doesn't matter? (This is what my math skills tell me, but I would like to make sure)

Thanks
RubyPorto
RubysRhymes
#2 - 2012-05-15 20:41:13 UTC
KC-01000011 wrote:
Hello,

I've been wondering about this for some time now, you often see in mission guides numbers that state: +1,03% corp standing, +0,98% corp standing, + 3,56% corp standing.

And from what I understand this is the relative amount of the difference between your standing and 10 you gain. (so if you have 2 standing then you get that procent of 8 added, right?)


But i'm wondering, does it matter in what order you do you missions ? (as in, do the most raising missions (3%) first and the smaller ones later (0,5%) or the other way around)

Or it just doesn't matter? (This is what my math skills tell me, but I would like to make sure)

Thanks



Trying it out using 5% and 2.5% on a difference of 10 (so starting from 0 standings), I get no difference. Since we know that standings gains are a percentage of the difference between [Standing] and 10, these equations should be correct:

10 - (.05 * 10) - (.025 * 9.5) = 9.2625

10 - (.025 * 10) - (.05 * 9.75) = 9.2625

I was never good at recursive equations, so I can't generalize and prove it, but I'm sure someone around here can.

"It's easy to speak for the silent majority. They rarely object to what you put into their mouths." -Abrazzar "the risk of having your day ruined by other people is the cornerstone with which EVE was built" -CCP Solomon
Ryelek d'Entari
Horizon Glare
#3 - 2012-05-15 21:56:32 UTC
That would be the Commutative Property of Multiplication you're looking for.


New_standing_1 = old_standing + (10.0 - old_standing) * (standings_gain_1)

New_standing_2 = new_standing_1 + (10.0 - new_standing_1)*(standings_gain_2)

... algebra ...

New_standing_2 = old_standing + (10.0 - old_standing) * (standings_gain_1 + standings_gain_2 - standings_gain_1*standings_gain2)

Or, abbreviated:

S = S_old + (10 - S_old)*(G1 + G2 - G1*G2)

Switch G1 and G2 and you get the same result.
KC-01000011
Deep Core Mining Inc.
Caldari State
#4 - 2012-05-16 09:01:55 UTC
Thanks fellas for the explanation!