hopsing/rqp/ios

[KamilSaper]

I was wondering if it is possible to have hopsing without IOE record. I guess not. Any ideas?

[Tommy]

From the dictionary:
IOS Index of Speed.
[ log (Time - 1) / log (3BV) ]

RQP Rapport Qualité Prix
[ Time / (3BV/s) ]

Well, say you have A 3bv/s as your 3bv/s highscore, and B s as your time highscore.
I'll just assume that the previous highscore was a hopsing too to start with.

(I) Time and 3bv/s are always positive, meaning that we will only have positive variables while we multiply and divide them.

You get a highscore of C 3bv/s, and D s.
Per definition of a hopsing we have A<C and B>D.
Our old RQP is
B/A
and the new one
D/C

if we're trying not to create an RQP record,
D/C>=B/A
so (with (I)),
AD>=BC

which doesn't work because A<C and D<B.

We will therefore always have an RQP record even if the previous highscore was a hopsing as well.
If it wasn't, the old RQP was worse than it would have been had the score been a hopsing (inferior/equal time/3bv/s, as per definition of a highscore).
QED for RQP.

try the same for IOS if you want, I don't want to mess with logs now but I'm guessing that since we have 3bv and not 3bv/s, we just need enough 3bv variance between highscores for the IOS to be potentially worse.

[KamilSaper]

I have already worked it out that u beat rqp record every time u hopsing, I will think about ios later

[Rogen]

Of course hopsing is a IOS record. Let me start from correct formula of IOS = log 3BV / log (Time-1).

IOS = log 3BV / log (Time-1) = log (3BV/s * (Time-1))/ log (Time-1) = (log 3BV/s + log (Time-1)) / log (Time-1)= log 3BV/s / log (Time-1) +1
Easy to see that if you have hopsing you have biggest 3BV/s (and also biggest log 3BV/s) and smallest Time (and also smallest log (Time-1)), that means you have biggest ever fraction log 3BV/s / log (Time-1) which means biggest ever IOS.

IOS was created to compare games with different 3BV (u know that higher 3BV usually gives you higher 3BV/s). For example 50,00s game on 3BV 147 and 60,00s game on 3BV 177 have the same 3BV/s 3,00, but you will look of first game like on fastest because its harder to get the same 3BV/s on low 3BV board. IOS give you the same result. But also IOS shows that if you have 60,00s game on 3BV 186-187 you will have 3BV/s 3,16 and the same IOS with 50,00s game on 3BV 147. I guess that now you can say without formula, that the same 3BV/s in two games gives bigger IOS on faster time game. If you have hopsing its obvious that you will have IOS record.

[KamilSaper]

lol, Im noob, I didnt notice that 3BV = 3BV/s * time-1 then its easy to count