Difference between revisions of "Formulae"

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===Colony Suitability===
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Final Suitability (<math>S_f</math>) is Initial Suitability (<math>S_i</math>) times the bonus from [[Colonial Administrator]] (CA) plus the bonuses from Terraforming <math>T_{sum}</math>.
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S_f = \left( S_i \times \left(1 + .05 \times CA \right)\right) + T_{sum}
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===Speed===
 
===Speed===

Revision as of 20:08, 16 September 2010

This is an explanation page for the various formulae involved in calculating stats in game.

Augmenter Addition

Augmenter addition is a multi-step process. First all augmenters are tweaked using the augmenter tweaking formula below.

Then the tweaked bonus is converted to a factor (F) using one of two formula, depending on if it is a positive augmenter or a negative augmenter. If the tweaked augmenter gives +83% then by adding 1 the tweaked bonus (B) is 1.83. In a similar fashion, if the tweaked augmenter gives -83% then B is .17.

F = \begin{cases} B \ge 1, & B - 1 \\ B < 1, & \dfrac{-1}{B} + 1 \end{cases}

Now we sum all of the factors for all augmenters together:

F_{sum} = F_1 + F_2 + F_3 + F_4 + F_5 + F_6 + \cdots

Next we convert this factor sum back to a bonus:

B_{sum} = \begin{cases} F_{sum} \ge 1, & F_{sum} + 1 \\ F_{sum} < 1, & \dfrac{-1}{B - 1} \end{cases}


It is this B that can be used to multiply with some stat to get the augged stat. For a bonus that can be compared to augmenter stats, we just subtract 1. 1.83 corresponds to +83% and .17 corresponds to -83%. Given the above calculation, one should take note that negative augmenters provide a greater effect than positive augmenters of the same magnitude.

Augmenter Tweaking

For example, a ship with one augmenter equipped to grant +56% to some statistic would receive the following bonus, as a function of the player's level of Augmenter Tweaking, labeled AT, Imperial Tweaking, labeled IT, and Engineer Class, labeled EC.

\left(1+.04\times\mbox{AT}+.02\times\mbox{IT}+.005\times\mbox{EC}\right)\times.56



Similarly, if the equipped augmenter granted -56% instead, the resulting penalty is calculated as follows.

\dfrac{1-.56}{1+\left(.56\times\left(.04\times\mbox{AT}+.02\times\mbox{IT}+.005\times\mbox{EC}\right)\right)}

Colony Suitability

Final Suitability (S_f) is Initial Suitability (S_i) times the bonus from Colonial Administrator (CA) plus the bonuses from Terraforming T_{sum}.

S_f = \left( S_i \times \left(1 + .05 \times CA \right)\right) + T_{sum} <math> ===Speed=== Speed is defined as distance traveled per second. ===Thrust=== Acceleration (a) is Thust (T) divided by Weight (W). Acceleration is defined as Speed per second. <math> a=\dfrac{T}{W}

Turning

Turning (T) in revolutions per second is equal to the turning listed on an engine (t) times 152 divided by Weight (W).

T=\dfrac{152\times\mbox{t}}{W}

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