quote: Originally posted by Xin Yu April 25, 2001 19:15 Strength Ratio=[Strong+(Strong-Weak)]*HP_Strong*FP_Strong/[Weak*HP_Weak*FP_Weak]

quote: Originally posted by Edward May 02, 2001 12:27 Xin Yu's formula is an inexact ('though quite good) guess as the victor of a whole battle.

quote: Originally posted by DaveV on 05-02-2001 01:19 PM Arrrgh. No, it's the odds for a single round. A slight advantage in the Xin Yu formula will result in a much greater advantage in a battle.

I still believe Xin Yu's formula is for a whole battle.
1) A formula for a mini-round should not include hitpoints or firepower (as Xin Yu's formula does) since these are used to deal damage in a mini-round after the mini-round's victor has been determined.
2) A mini-round's victor is determined solely by the units' respective combat values (including modifiers). In a mini-round there is no increased advantage for the stronger unit (as Xin Yu's formula has) beyond the simple ratio of combat values .

Xin Yu's formula factors in an increased advantage for the unit with the better combat value (via +(Strong-Weak)) in an attempt to account for that combat value advantage working over many mini-rounds. This increased advantage is accurately factored-in in Marquis de Sodaq's combinatorial formula. In this thread we're searching for a simplified formula for the whole battle that accounts, even if only approximately, for this.

Obviously Xin Yu's formula is only an approximation since it doesn't take into account the defender tie advantage (which is generally small and varies as the combat values and hitpoints involved vary); nor does it increase the combat advantage (from the base +(Strong-Weak)) when more hitpoints are involved (and therefore the combat advantage works over more mini-rounds and should be even more pronounced).

quote: Originally posted by DaveV on 05-02-2001 01:19 PM The Xin Yu formula ... gives me a much better idea of what's going to happen in a battle. The math is no more demanding than the debeest formula, IMHO.

Agreed. You all have persuaded me to use Xin Yu's formula when higher accuracy is needed or when unequal hitpoints or firepower are involved.