>TheFrz |
>TheFrz |
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| Let the following be: | | Let the following be: |
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| {{math|\begin{align} | | {{math|formula=\begin{align} |
| DR & \text{ the damage reduction factor} & DR & \in \mathbb{R}\\ | | DR & \text{ the damage reduction factor} & DR & \in \mathbb{R}\\ |
| A & \text{ the armor the player has} & A & \in \mathbb{N}^+ \\ | | A & \text{ the armor the player has} & A & \in \mathbb{N}^+ \\ |
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| ==DR Formula== | | ==DR Formula== |
| {{math|1=DR(A, D_{raw}) = {A \over A + 10 * D_{raw} } }} | | {{math|formula=DR(A, D_{raw}) = {A \over A + 10 * D_{raw} } }} |
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| ===Resolved for Raw Damage=== | | ===Resolved for Raw Damage=== |
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| {{math|1=\begin{align} | | {{math|formula=\begin{align} |
| DR & = {A \over A + 10 * D_{raw} } \\ | | DR & = {A \over A + 10 * D_{raw} } \\ |
| DR * (A + 10 * D_{raw}) & = A \\ | | DR * (A + 10 * D_{raw}) & = A \\ |
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| ====Final result for raw damage==== | | ====Final result for raw damage==== |
| {{math|1=D_{raw}(A, DR) = {A \over 10 * DR} - {A \over 10} }} | | {{math|formula=D_{raw}(A, DR) = {A \over 10 * DR} - {A \over 10} }} |
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| ===Resolved for Armour=== | | ===Resolved for Armour=== |
| {{math|1=\begin{align} | | {{math|formula=\begin{align} |
| DR & = {A \over A + 10 * D_{raw} } \\ | | DR & = {A \over A + 10 * D_{raw} } \\ |
| DR * (A + 10 * D_{raw}) & = A \\ | | DR * (A + 10 * D_{raw}) & = A \\ |
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| ====Final result for armour==== | | ====Final result for armour==== |
| {{math|1=A(D_{raw}, DR) = {DR * 10 * D_{raw} \over 1 - DR} }} | | {{math|formula=A(D_{raw}, DR) = {DR * 10 * D_{raw} \over 1 - DR} }} |
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| ==Net Damage formula== | | ==Net Damage formula== |
| ===Based on DR=== | | ===Based on DR=== |
| {{math|1=D_{net}(A, D_{raw}) = D_{raw} - D_{raw} * DR(A, D_{raw})}} | | {{math|formula=D_{net}(A, D_{raw}) = D_{raw} - D_{raw} * DR(A, D_{raw})}} |
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| ===Eliminating DR=== | | ===Eliminating DR=== |
| {{math|1=\begin{align} | | {{math|formula=\begin{align} |
| D_{net}& = D_{raw} - D_{raw} * DR \\ | | D_{net}& = D_{raw} - D_{raw} * DR \\ |
| D_{net} & = D_{raw} - D_{raw} * {A \over A + 10 * D_{raw} } \\ | | D_{net} & = D_{raw} - D_{raw} * {A \over A + 10 * D_{raw} } \\ |
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| ===Final result=== | | ===Final result=== |
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| {{math|1=D_{net}(A, D_{raw}) = {10 * {D_{raw} }^2 \over A + 10 * D_{raw} } }} | | {{math|formula=D_{net}(A, D_{raw}) = {10 * {D_{raw} }^2 \over A + 10 * D_{raw} } }} |
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| ==Defense Factor formula== | | ==Defense Factor formula== |
| ===Base Formula=== | | ===Base Formula=== |
| {{math|1=DF(D_{net}, D_{raw}) = {D_{raw} \over D_{net} } }} | | {{math|formula=DF(D_{net}, D_{raw}) = {D_{raw} \over D_{net} } }} |
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| ===Eliminating Net Damage=== | | ===Eliminating Net Damage=== |
| {{math|1=\begin{align} | | {{math|formula=\begin{align} |
| DF & = {D_{raw} \over D_{net} } \\ | | DF & = {D_{raw} \over D_{net} } \\ |
| DF & = {D_{raw} \over {10 * {D_{raw} }^2 \over A + 10 * D_{raw} } } \\ | | DF & = {D_{raw} \over {10 * {D_{raw} }^2 \over A + 10 * D_{raw} } } \\ |
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| ===Final result=== | | ===Final result=== |
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| {{math|1=DF(A, D_{raw}) = {A \over 10 * D_{raw} } + 1}} | | {{math|formula=DF(A, D_{raw}) = {A \over 10 * D_{raw} } + 1}} |
Calculating the formulas
Let the following be:
DR Formula
Resolved for Raw Damage
Final result for raw damage
Resolved for Armour
Final result for armour
Net Damage formula
Based on DR
Eliminating DR
Final result
Defense Factor formula
Base Formula
Eliminating Net Damage
Final result