NPC standings: Difference between revisions

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The formula for standing increase is

:<math> \text{ New standing} = \text{Old standing} + ( 10 - \text{Old standing} ) \times \text{Standing increase%} </math>

:<math> \text{ New standing} = \text{Old standing} + ( 10 - \text{Old standing} ) \times \text{Standing increase} </math>

The formula for standing decrease is almost same, just towards -10

:<math> \text{ New standing} = \text{Old standing} + ( -10 - \text{Old standing} ) \times \text{Standing decrease%} </math>

:<math> \text{ New standing} = \text{Old standing} + ( -10 - \text{Old standing} ) \times \text{Standing decrease} </math>

where ''Standing decrease'' is the decimal form of standing change. For example 0.4% would be 0.004.

The consequence of this math is that the higher your standings are, the less effective standings increases become and the more dramatic penalties become. For example a standing loss of 1% turns 9.0 standing into 8.81 but increase of 1% would bring 9.0 standing to 9.01.

The equation for resulting standing for receiving same standing gain multiple times is

:<math>\displaystyle S_n = S_0 \times (1-\text{Standing increase}) + 10 \times \text{Standing increase} \times \sum_{k=0}^{n-1} (1-\text{Standing increase})^k </math>

And in similar style the equation for resulting standing for receiving same standing loss multiple times is

:<math>\displaystyle S_n = S_0 \times (1-\text{Standing decrease}) - 10 \times \text{Standing decrease} \times \sum_{k=0}^{n-1} (1-\text{Standing decrease})^k </math>

Corporation and agent standings increase after each completed mission. Faction standings however are gained from certain missions only:

@@ Line 107: / Line 107: @@
 The formula for standing increase is
-:<math> \text{ New standing} = \text{Old standing} + ( 10 - \text{Old standing} ) \times \text{Standing increase%} </math>
+:<math> \text{ New standing} = \text{Old standing} + ( 10 - \text{Old standing} ) \times \text{Standing increase} </math>
 The formula for standing decrease is almost same, just towards -10
-:<math> \text{ New standing} = \text{Old standing} + ( -10 - \text{Old standing} ) \times \text{Standing decrease%} </math>
+:<math> \text{ New standing} = \text{Old standing} + ( -10 - \text{Old standing} ) \times \text{Standing decrease} </math>
+where ''Standing decrease'' is the decimal form of standing change. For example 0.4% would be 0.004.
 The consequence of this math is that the higher your standings are, the less effective standings increases become and the more dramatic penalties become. For example a standing loss of 1% turns 9.0 standing into 8.81 but increase of 1% would bring 9.0 standing to 9.01.
+The equation for resulting standing for receiving same standing gain multiple times is
+:<math>\displaystyle S_n = S_0 \times (1-\text{Standing increase}) + 10 \times \text{Standing increase} \times \sum_{k=0}^{n-1} (1-\text{Standing increase})^k </math>
+And in similar style the equation for resulting standing for receiving same standing loss multiple times is
+:<math>\displaystyle S_n = S_0 \times (1-\text{Standing decrease}) - 10 \times \text{Standing decrease} \times \sum_{k=0}^{n-1} (1-\text{Standing decrease})^k </math>
 Corporation and agent standings increase after each completed mission. Faction standings however are gained from certain missions only: