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Crystal damage: Difference between revisions

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Change "Industrial Core" to "Capital Industrial Core".
Proton One (talk | contribs)
Recalibrating math. Mining Crystal Type B I and Type C I volatilities were buffed to 800 cycles, up from 533 (B) and 333 (C).
 
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=== Volatility ===
=== Volatility ===
This attribute is the chance of the crystal taking damage upon every activation cycle. For example, a Volatility of 10% would mean that for each activation cycle the crystal has a 10% (1 in 10) chance of receiving damage. The actual amount of damage is fixed and is given by the '''Volatility Damage''' attribute.
This attribute is the chance of the crystal taking damage upon every activation cycle. For example, a Volatility of 2.5% would mean that for each activation cycle the crystal has a 2.5% (1 in 40) chance of receiving damage. The actual amount of damage is fixed and is given by the '''Volatility Damage''' attribute.


Some combat crystals (Faction) have a 100% chance of damage per shot. It also means that the life expectancy of these combat crystals may be calculated exactly because every shot will always damage the crystal, i.e. a 100% chance of crystal damage inflicted per shot.
Some combat crystals (Faction) have a 100% chance of damage per shot. It also means that the life expectancy of these combat crystals may be calculated exactly because every shot will always damage the crystal, i.e. a 100% chance of crystal damage inflicted per shot.
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If the volatility of the crystal is 0%, the value of the <em>Crystals Take Damage</em> attribute is False since the value obtained by the formula would be undefined; this only applies to Tech 1 combat crystals.
If the volatility of the crystal is 0%, the value of the <em>Crystals Take Damage</em> attribute is False since the value obtained by the formula would be undefined; this only applies to Tech 1 combat crystals.


For mining crystals and Tech 2 combat crystals, one may then multiply the expected cycles by the cycle time to calculate a crystal's life expectancy over time. Remember that Volatility is a percentage, so for example, a crystal with a Volatility of 10% must use the value 0.10 in the equation.
For mining crystals and Tech 2 combat crystals, one may then multiply the expected cycles by the cycle time to calculate a crystal's life expectancy over time. Remember that Volatility is a percentage, so for example, a crystal with a Volatility of 2.5% must use the value 0.025 in the equation.


== Examples ==
== Examples ==
As the volatility damage is chance-based the following numbers are <em>only</em> an indication.
As the volatility damage is chance-based the following numbers are <em>only</em> an indication.


The Simple Asteroid Mining Crystal Type A I has a Volatility of 10%, which means that for every cycle there is a 10% chance that it will receive damage. The amount of damage it receives will be the Volatility Damage value of 0.05 HP. It will shatter when its total damage reaches the Structure Hitpoints value of 1 HP.  
The Simple Asteroid Mining Crystal Type A I has a Volatility of 2.5%, which means that for every cycle there is a 2.5% chance that it will receive damage. The amount of damage it receives will be the Volatility Damage value of 0.05 HP. It will shatter when its total damage reaches the Structure Hitpoints value of 1 HP.  


This means that, on the average, the crystal has a life expectancy of <math>1 / 0.10 / 0.05 = 200</math> cycles. With a standard (unbonused) strip mining cycle time of 180 seconds, one may estimate that a crystal will endure approximately 36,000 seconds, or 10 hours, of constant mining before shattering.
This means that, on the average, the crystal has a life expectancy of <math>1 / 0.025 / 0.05 = 800</math> cycles. With a standard (unbonused) strip mining cycle time of 45 seconds, one may estimate that a crystal will endure approximately 36,000 seconds, or 10 hours, of constant mining before shattering.




The Simple Asteroid Mining Crystal Type A II has a Volatility of 12%. It has the same 0.05 HP Volatility Damage and 1 HP Structure Hitpoints as the Tech I variant. As a result, the crystal has a life expectancy of <math>1 / 0.12 / 0.05 = 166</math> cycles, about 8 hours.
The Simple Asteroid Mining Crystal Type A II has a Volatility of 3%. It has the same 0.05 HP Volatility Damage and 1 HP Structure Hitpoints as the Tech I variant. As a result, the crystal has a life expectancy of <math>1 / 0.03 / 0.05 \approx 667</math> cycles, about 8 hours.


However, a ship using these crystals will likely not be operating unbonused; it will likely be flying with significant improvements to its mining cycle time. So, while an unbonused strip miner cycle takes 180 seconds and a Tech II A type crystal would last around 8 hours, strip miners fitted to a max-skilled [[Hulk]] <ref group=Note name=Hulk />, enhanced by a Mining Laser Optimization Charge from a [[Rorqual]] <ref group= Note name=Rorqual />, can cycle in as little as ~73 seconds, thus reducing the crystals lifespan to a mere 141 minutes.
However, a ship using these crystals will likely not be operating unbonused; it will likely be flying with significant improvements to its mining cycle time. So, while an unbonused strip miner cycle takes 45 seconds and a Tech II A type crystal would last around 8 hours, strip miners fitted to a max-skilled [[Hulk]] <ref group=Note name=Hulk />, enhanced by a Mining Laser Optimization Charge from a [[Rorqual]] <ref group= Note name=Rorqual />, can cycle in as little as ~18 seconds, thus reducing the crystals lifespan to a mere 141 minutes.


{{CollapseBox|The math for strip miner duration reduction
{{CollapseBox|The math for strip miner duration reduction
|Only using a [[Hulk]] <ref group=Note name=Hulk /> with all relevant skills to level V.
|Only using a [[Hulk]] <ref group=Note name=Hulk /> with all relevant skills to level V.
* Role bonus for the Hulk - 15% strip miner duration reduction.
* Role bonus for the Hulk—15% strip miner duration reduction.
* Skill bonus for {{Sk|Exhumers|icon= yes}} - 3% strip miner duration reduction per level.
* Skill bonus for {{Sk|Exhumers|icon= yes}}—3% strip miner duration reduction per level.




: <math>\text{duration} = \text{base duration} \times ( 1- \text{Hulk Role bonus}) \times (1-(\text{Exhumers skill bonus} \times \text{level}) )</math>
: <math>\text{duration} = \text{base duration} \times ( 1- \text{Hulk Role bonus}) \times (1-(\text{Exhumers skill bonus} \times \text{level}) )</math>
:: <math>180 \times (1-0.15) \times (1-(0.03 \times 5) )</math>
:: <math>45 \times (1-0.15) \times (1-(0.03 \times 5) )</math>
:: <math>180 \times (1-0.15) \times (1-0.15)</math>
:: <math>45 \times (1-0.15) \times (1-0.15)</math>
:: <math>180 \times 0.85 \times 0.85 = 130.05 \text{ seconds}</math>
:: <math>45 \times 0.85 \times 0.85 \approx 32.51 \text{ seconds}</math>




Using the Hulk above and a boosting [[Rorqual]] <ref group= Note name=Rorqual /> using a Tech 2 Mining Foreman Boost and Mining Foreman Mindlink with all relevant skills to level V.
Using the Hulk above and a boosting [[Rorqual]] <ref group= Note name=Rorqual /> using a Tech 2 Mining Foreman Boost and Mining Foreman Mindlink with all relevant skills to level V.
* Mining Foreman Burst with Mining Laser Optimization Charge - 15% strip miner duration reduction.
* Mining Foreman Burst with Mining Laser Optimization Charge—15% strip miner duration reduction.
: The Mining Laser Optimization Charge (MLOC) bonus has its own bonuses<ref group=Note name=MFB />:
: The Mining Laser Optimization Charge (MLOC) bonus has its own bonuses<ref group=Note name=MFB />:
* Using a Mining Foreman Boost II (MFB II) - 25% bonus to the effect strength of charges launched
* Using a Mining Foreman Boost II (MFB II)—25% bonus to the effect strength of charges launched
* Using a Mining Foreman Mindlink (MFM) - 25% bonus to Mining Foreman Burst strength and duration
* Using a Mining Foreman Mindlink (MFM)—25% bonus to Mining Foreman Burst strength and duration
* Skill bonus for {{Sk|Mining Director|icon= yes}} (MD) - 10% bonus to the strength of Mining Foreman Burst effects per level.
* Skill bonus for {{Sk|Mining Director|icon= yes}} (MD)—10% bonus to the strength of Mining Foreman Burst effects per level.
* Skill bonus for {{Sk|Capital Industrial Ships|icon= yes}} (CIS) - 5% Mining Foreman Burst effect increase per level. (Ship bonus)
* Skill bonus for {{Sk|Capital Industrial Ships|icon= yes}} (CIS)—5% Mining Foreman Burst effect increase per level. (Ship bonus)




: <math> {\color{blue} \text{MLOC bonus} } = \text{base MLOC bonus} \times (1+ \text{MFB II bonus}) \times (1+ \text{MFM bonus}) \times (1 + (\text{MD skill bonus} \times \text{level}) ) \times (1 + (\text{CIS skill bonus} \times \text{level})</math>
: <math> {\color{ProcessBlue} \text{MLOC bonus} } = \text{base MLOC bonus} \times (1+ \text{MFB II bonus}) \times (1+ \text{MFM bonus}) \times (1 + (\text{MD skill bonus} \times \text{level}) ) \times (1 + (\text{CIS skill bonus} \times \text{level})</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ (0.1 \times 5) \times (1+ (0.05 \times 5)</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ (0.1 \times 5) \times (1+ (0.05 \times 5)</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ 0.5) \times (1+ 0.25)</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ 0.5) \times (1+ 0.25)</math>
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: <math>\text{duration} = \text{base duration} \times (1- \text{Hulk Role bonus}) \times (1-(\text{Exhumers skill bonus} \times \text{level}) \times (1- {\color{blue} \text{Mining Laser Optimization Charge bonus} } )</math>
: <math>\text{duration} = \text{base duration} \times (1- \text{Hulk Role bonus}) \times (1-(\text{Exhumers skill bonus} \times \text{level}) \times (1- {\color{ProcessBlue} \text{Mining Laser Optimization Charge bonus} } )</math>
:: <math>180 \times (1-0.15) \times (1-(0.03 \times 5) \times (1-0.439453125)</math>
:: <math>45 \times (1-0.15) \times (1-(0.03 \times 5) \times (1-0.439453125)</math>
:: <math>180 \times 0.85 \times 0.85 \times 0.560546875 = 72.89912109375 \text{ seconds}</math>
:: <math>45 \times 0.85 \times 0.85 \times 0.560546875 \approx 18.22 \text{ seconds}</math>
}}
}}




However, to compensate, if further enhanced by a Mining Equipment Preservation Charge, the crystals' volatility can be reduced by up to ~44%, resulting in a new life expectancy of <math>1 / 0.067 / 0.05 = 298</math> cycles, which at ~73 seconds per cycle comes out to ~21,754 seconds, or ~6 hours of constant mining before shattering.
However, to compensate, if further enhanced by a Mining Equipment Preservation Charge, the crystals' volatility can be reduced by up to ~44%, resulting in a new life expectancy of <math>1 / 0.01682 / 0.05 = 1,189</math> cycles, which at ~18 seconds per cycle comes out to 21,675 seconds, or ~6 hours of constant mining before shattering.


{{CollapseBox|The math for crystal volatility reduction
{{CollapseBox|The math for crystal volatility reduction
|Using a Tech 2 Mining Foreman Boost and all relevant skills to V.
|Using a Tech 2 Mining Foreman Boost and all relevant skills to V.
* Mining Foreman Burst with Mining Equipment Preservation Charge - 15% volatility reduction.
* Mining Foreman Burst with Mining Equipment Preservation Charge—15% volatility reduction.
: The Mining Equipment Preservation Charge (MEPC) bonus has its own bonuses<ref group=Note name=MFB />:
: The Mining Equipment Preservation Charge (MEPC) bonus has its own bonuses<ref group=Note name=MFB />:
* Using a Mining Foreman Boost II (MFB II) - 25% bonus to the effect strength of charges launched
* Using a Mining Foreman Boost II (MFB II)—25% bonus to the effect strength of charges launched
* Using a Mining Foreman Mindlink (MFM) - 25% bonus to Mining Foreman Burst strength and duration
* Using a Mining Foreman Mindlink (MFM)—25% bonus to Mining Foreman Burst strength and duration
* Skill bonus for {{Sk|Mining Director|icon= yes}} (MD) - 10% bonus to the strength of Mining Foreman Burst effects per level.
* Skill bonus for {{Sk|Mining Director|icon= yes}} (MD)—10% bonus to the strength of Mining Foreman Burst effects per level.
* Skill bonus for {{Sk|Capital Industrial Ships|icon= yes}} (CIS) - 5% Mining Foreman Burst effect increase per level. (Ship bonus)
* Skill bonus for {{Sk|Capital Industrial Ships|icon= yes}} (CIS)—5% Mining Foreman Burst effect increase per level. (Ship bonus)




: <math> {\color{blue} \text{MEPC bonus} } = \text{base MEPC bonus} \times (1+ \text{MFB II bonus}) \times (1+ \text{MFM bonus}) \times (1 + (\text{MD skill bonus} \times \text{level}) ) \times (1 + (\text{CIS skill bonus} \times \text{level})</math>
: <math> {\color{ProcessBlue} \text{MEPC bonus} } = \text{base MEPC bonus} \times (1+ \text{MFB II bonus}) \times (1+ \text{MFM bonus}) \times (1 + (\text{MD skill bonus} \times \text{level}) ) \times (1 + (\text{CIS skill bonus} \times \text{level})</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ (0.1 \times 5) \times (1+ (0.05 \times 5)</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ (0.1 \times 5) \times (1+ (0.05 \times 5)</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ 0.5) \times (1+ 0.25)</math>
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ 0.5) \times (1+ 0.25)</math>
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For a Simple Asteroid Mining Crystal Type A II
For a Simple Asteroid Mining Crystal Type A II
: <math>\text{base volatility} \times (1- {\color{blue} \text{Mining Equipment Preservation Charge bonus} } )</math>
: <math>\text{base volatility} \times (1- {\color{ProcessBlue} \text{Mining Equipment Preservation Charge bonus} } )</math>
:: <math>12 \times (1- 0.439453125)</math>
:: <math>3 \times (1- 0.439453125)</math>
:: <math>12 \times 0.560546875 = 6.7265625\%</math>
:: <math>3 \times 0.560546875 = 1.681640625\%</math>
}}
}}


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{| class="wikitable"
{| class="wikitable"
|-
|-
! Crystal Type !! Tech !! Volatility !! Volatility Damage !! Expected Cycles
! Crystal Type !! Tech !! Volatility !! Volatility Damage !! Average Lifetime (Cycles)
|-
|-
| Frequency Crystals || Tech I || 0% || 0 HP || (Infinite)<ref group=Note name=T1Crystal />
| Frequency Crystals || Tech I || 0% || 0 HP || (Infinite)<ref group=Note name=T1Crystal />
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| Frequency Crystals || [[Tech and meta levels#Faction Ammunition|Faction]] || 100% || 0.00025HP || 4000
| Frequency Crystals || [[Tech and meta levels#Faction Ammunition|Faction]] || 100% || 0.00025HP || 4000
|-
|-
| Frequency Crystals || Tech II || 10% || 0.01HP || ~1000
| Frequency Crystals || Tech II || 10% || 0.01HP || 1000
|-
|-
| Mining Crystals Type A || Tech I || 10% || 0.05HP || ~200
| Mining Crystals Type A || Tech I || 2.5% || 0.05HP || 800
|-
|-
| Mining Crystals Type A || Tech II || 12% || 0.05HP || ~166
| Mining Crystals Type A || Tech II || 3% || 0.05HP || 667
|-
|-
| Mining Crystals Type B || Tech I || 15% || 0.05HP || ~133
| Mining Crystals Type B || Tech I || 2.5% || 0.05HP || 800
|-
|-
| Mining Crystals Type B || Tech II || 19.6% || 0.05HP || ~102
| Mining Crystals Type B || Tech II || 5% || 0.05HP || 400
|-
|-
| Mining Crystals Type C || Tech I || 24% || 0.05HP || ~83
| Mining Crystals Type C || Tech I || 2.5% || 0.05HP || 800
|-
|-
| Mining Crystals Type C || Tech II || 30% || 0.05HP || ~66
| Mining Crystals Type C || Tech II || 7.5% || 0.05HP || 267
|}
|}


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* Mining Foreman Burst
* Mining Foreman Burst
** {{Sk|Capital Industrial Ships|icon= yes}} bonus: 5% bonus to Mining Foreman Burst effects strength and duration per level (Ship bonus)
** {{Sk|Capital Industrial Ships|icon= yes}} bonus: 5% bonus to Mining Foreman Burst effects strength and duration per level (Ship bonus)
** {{Sk|Mining Director|icon= yes}} - 10% bonus to the strength of Mining Foreman Burst effects per level.
** {{Sk|Mining Director|icon= yes}}—10% bonus to the strength of Mining Foreman Burst effects per level.
** [[Command Bursts|Mining Foreman Burst II]] - 25% bonus to the effect strength of charges launched
** [[Command Bursts|Mining Foreman Burst II]]—25% bonus to the effect strength of charges launched
** [[Command_Bursts#Command_Mindlink_implants|Mining Foreman Mindlink]] - 25% bonus to Mining Foreman Burst strength and duration
** [[Command_Bursts#Command_Mindlink_implants|Mining Foreman Mindlink]]—25% bonus to Mining Foreman Burst strength and duration
** [[Capital Ship Modules#Industrial Core|Capital Industrial Core]] - Tech I 30%, Tech II 36% bonus to Mining Foreman Burst strength
** [[Capital Ship Modules#Industrial Core|Capital Industrial Core]]—Tech I 30%, Tech II 40% bonus to Mining Foreman Burst strength
**  Mining Foreman Burst charges
**  Mining Foreman Burst charges
*** Mining Laser Optimization Charge: 15% reduction in Strip Miner duration
*** Mining Laser Optimization Charge: 15% reduction in Strip Miner duration