Mike: Fixed math syntax

2026-07-11T18:28:09Z

Fixed math syntax

← Older revision		Revision as of 18:28, 11 July 2026
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	Damage calculations are further balanced by comparing the attacker's penetration rating against the defender's damage reduction score. The damage reduction score is computed as:		Damage calculations are further balanced by comparing the attacker's penetration rating against the defender's damage reduction score. The damage reduction score is computed as:

	<math>\text{~~damage\_reduction\_score~~} = L_{\text{defence}} \times \text{EquipmentStat} \times \text{PotionEffects}</math>		<math>\text{DamageReductionScore} = L_{\text{defence}} \times \text{EquipmentStat} \times \text{PotionEffects}</math>

	These calculations make matching shield types essential during combat. Standard shields are divided into three categories to counter specific enemy attack colors:		These calculations make matching shield types essential during combat. Standard shields are divided into three categories to counter specific enemy attack colors:

Mike: Initial lore import

2026-07-11T18:15:09Z

Initial lore import

New page

= Combat Mechanics, Leveling Dynamics, and Discrete Math =
The combat architecture operates on calculated mathematical systems that govern experience distribution, server-side hit resolution, and damage mitigation.

== Experience Distribution ==
Characters accumulate combat experience dynamically during battle, splitting the earned XP at a strict 75% to 25% ratio. The larger share (75%) goes directly to the active stance skill (such as Attack, Archery, Block, Evasion, or Warding), while the remaining 25% is funnelled into the passive Health pool. Each level gained in Health grants a flat +10 HP increase to the character's base life pool.

Combat experience is generated as a function of damage dealt, scaled by a linear Combat Multiplier that increases based on the monster's level:

<math>\text{TotalXP} = \text{Damage} \times \text{CombatMultiplier}</math>
<math>\text{TrainingXP} = \text{TotalXP} \times 0.75</math>

The Combat Multiplier scales with the target's level to ensure that high-tier combat encounters remain rewarding:
<math>\text{CombatMultiplier} = 1 + (\text{MonsterLevel} \times 0.01)</math>

For example, fighting a level 50 monster yields a multiplier of 1.50 (a 50% experience bonus). This formula allows players to accurately project experience rates by using the monster's maximum HP as the damage value.

== Hit Resolution ==
To resolve physical hits, the backend engine compares two independent, uniform random integer rolls:

<math>\text{AccuracyRoll} \in [0, A]</math>
<math>\text{DefenceRoll} \in [0, D]</math>

A hit is registered strictly if <math>\text{AccuracyRoll} > \text{DefenceRoll}</math>. The upper limits for these ranges (<math>A</math> and <math>D</math>) scale dynamically based on active combat skills and equipped item stats:

<math>A = (L_{\text{attack}} + 8) \times (\text{EquippedAccuracy} + 32)</math>

To analyze DPS probabilities and calculate expected values, the continuous approximation of the hit chance is structured as follows:

<math>\text{HitChance} = \begin{cases}
1 - \frac{D}{2A} & \text{if } A \geq D \\
\frac{A}{2D} & \text{if } D > A
\end{cases}</math>

For discrete probability models requiring strict server-side accuracy, the exact roll-based hit chance probability is modeled as:

<math>\text{HitChance} = \begin{cases}
1 - \frac{D + 2}{2(A + 1)} & \text{if } A > D \\
\frac{A}{2D + 1} & \text{if } D \geq A
\end{cases}</math>

== Damage Mitigation & Shields ==
Damage calculations are further balanced by comparing the attacker's penetration rating against the defender's damage reduction score. The damage reduction score is computed as:

<math>\text{damage\_reduction\_score} = L_{\text{defence}} \times \text{EquipmentStat} \times \text{PotionEffects}</math>

These calculations make matching shield types essential during combat. Standard shields are divided into three categories to counter specific enemy attack colors:
* '''Block Shields''' (Red Damage) counter heavy physical attacks.
* '''Parry Shields''' (Green Damage) deflect quick, agile attacks.
* '''Warding Shields''' (Blue Damage) mitigate mystical or arcane attacks.

Combat Mechanics - Revision history

Mike: Fixed math syntax

Mike: Initial lore import