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=Evasion Formulas=
 
=Evasion Formulas=
   
Evasion has several caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:
 
Evasion has several caps depending on the calculated base evasion of the ship. Base evasion is calculated as follows:
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* <math>\text{Evasion}_\text{ship}</math> is the evasion of the ship '''including''' any visible equipment bonuses.
 
* <math>\text{Evasion}_\text{ship}</math> is the evasion of the ship '''including''' any visible equipment bonuses.
* <math>\text{Mod}_\text{formation}</math> is the formation modifier. It varies based on the attack being received. Please see [[Combat#Formation_Modifier|Combat]] for more details.
+
* <math>\text{Mod}_\text{formation}</math> is the formation modifier. It varies based on the attack being received. Please see [[Combat#Formation Selection|Combat]] for more details.
 
** Currently modifiers for Vanguard are unknown.
 
** Currently modifiers for Vanguard are unknown.
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* <math>40 < \text{Evasion}_\text{base} < 65: \text{Evasion}_\text{cap} = \lfloor 40 + 3\sqrt{\text{Evasion}_\text{base} - 40} \rfloor</math>
 
* <math>40 < \text{Evasion}_\text{base} < 65: \text{Evasion}_\text{cap} = \lfloor 40 + 3\sqrt{\text{Evasion}_\text{base} - 40} \rfloor</math>
 
* <math>\text{Evasion}_\text{base} > 65: \text{Evasion}_\text{cap} = \lfloor55 + 2\sqrt{\text{Evasion}_\text{base} - 65}\rfloor</math>
 
* <math>\text{Evasion}_\text{base} > 65: \text{Evasion}_\text{cap} = \lfloor55 + 2\sqrt{\text{Evasion}_\text{base} - 65}\rfloor</math>
      
Capped evasion is then modified by post-cap modifiers:
 
Capped evasion is then modified by post-cap modifiers:
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<math>\text{Evasion %} = \biggl\lfloor \text{Mod}_\text{searchlight} \times \left( \text{Evasion}_\text{cap} + \text{Mod}_\text{sonar} + \text{Mod}_\text{CA} + \text{Mod}_\text{vanguard} - \text{Mod}_\text{fuel} \right) \biggr\rfloor</math>
 
<math>\text{Evasion %} = \biggl\lfloor \text{Mod}_\text{searchlight} \times \left( \text{Evasion}_\text{cap} + \text{Mod}_\text{sonar} + \text{Mod}_\text{CA} + \text{Mod}_\text{vanguard} - \text{Mod}_\text{fuel} \right) \biggr\rfloor</math>
   −
* <math>\text{Mod}_\text{searchlight}</math> is the searchlight evasion penalty. It is <math>0.2</math> for any ship equipped with a searchlight (even if not triggered) and <math>1.0</math> otherwise.
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* <math>\text{Mod}_\text{searchlight}</math> is the searchlight evasion penalty. It is '''0.2''' for any ship equipped with a searchlight (even if not triggered) and <math>1.0</math> otherwise.
 
* <math>\text{Mod}_\text{sonar}</math> is the sonar improvement modifier that '''only applies to''' opening and closing torpedo attacks. It is <math>0</math> otherwise.
 
* <math>\text{Mod}_\text{sonar}</math> is the sonar improvement modifier that '''only applies to''' opening and closing torpedo attacks. It is <math>0</math> otherwise.
 
** <math>\text{Mod}_\text{sonar} = \sum_{\text{All Sonars}} 1.5\sqrt{\bigstar}</math>  
 
** <math>\text{Mod}_\text{sonar} = \sum_{\text{All Sonars}} 1.5\sqrt{\bigstar}</math>  
* <math>\text{Mod}_\text{CA}</math> is the heavy/aviation cruiser night battle evasion bonus. It is <math>5</math> for heavy/aviation cruisers and <math>0</math> otherwise.
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* <math>\text{Mod}_\text{CA}</math> is the heavy/aviation cruiser night battle evasion bonus. It is '''5''' for heavy/aviation cruisers and <math>0</math> otherwise.
 
* <math>\text{Mod}_\text{vanguard}</math> is the Vanguard evasion bonus. This is different from the formation modifier that gets taken into account for base evasion. Bonuses are:
 
* <math>\text{Mod}_\text{vanguard}</math> is the Vanguard evasion bonus. This is different from the formation modifier that gets taken into account for base evasion. Bonuses are:
 
** For ships at the top (slots 1-2 or 1-3): Non-destroyers get a 5% bonus. Destroyers get a 20% bonus.
 
** For ships at the top (slots 1-2 or 1-3): Non-destroyers get a 5% bonus. Destroyers get a 20% bonus.
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** The penalty is an integer and not a percentage.
 
** The penalty is an integer and not a percentage.
   −
{| class="wikitable"
+
{|class="wikitable" style="text-align:center"
 
|+ Remaining Fuel Penalty
 
|+ Remaining Fuel Penalty
 
|-
 
|-
!style="text-align: center; border-radius: 6px 0 0 0; border-style: solid; border-width: 1px; width:64px;"|Remaining Fuel
+
!Battle #<ref>This only takes into account normal day battles. Special nodes have different resource consumption.</ref>
!style="text-align: center; border-radius: 0 6px 0 0; border-style: solid; border-width: 1px; width:32px;"|Battle #<ref>This only takes into account normal day battles. Special nodes have different resource consumption.</ref>
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!Remaining Fuel!!Penalty
!style="text-align: center; border-radius: 0 6px 0 0; border-style: solid; border-width: 1px; width:32px;"|Penalty
  −
|-
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|80%
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|2nd Battle
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|0
   
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|60%
+
|2nd Battle||80%||0
|style="text-align: center; border-style: solid; border-width: 1px;"|3rd Battle
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|15
   
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|40%
+
|3rd Battle||60%||15
|style="text-align: center; border-style: solid; border-width: 1px;"|4th Battle
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|35
   
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|20%
+
|4th Battle||40%||35
|style="text-align: center; border-style: solid; border-width: 1px;"|5th Battle
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|55
   
|-
 
|-
|style="text-align: center; border-style: solid; border-width: 1px;"|0%
+
|5th Battle||20%||55
|style="text-align: center; border-style: solid; border-width: 1px;"|6th+ Battle
  −
|style="text-align: center; border-style: solid; border-width: 1px;"|75
   
|-
 
|-
|}<references/>
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|6th+ Battle||0%||75
 +
|}
 +
<references/>
 
{{clear}}
 
{{clear}}
   −
 
+
'''Notes:'''
'''Important Notes'''
   
* The speed of the fleet is supposed to play a role in evasion. Currently, said increase is either nonexistent or too small to test.
 
* The speed of the fleet is supposed to play a role in evasion. Currently, said increase is either nonexistent or too small to test.
 +
* Using [[AO]] equipped with {{Supplies}} {{EquipmentLink|Underway Replenishment}} is a way to medigate fuel penalties.
    
=Special Cases=
 
=Special Cases=
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