Overview

This system calculates the experience points (EXP) earned after completing a task, providing a metric of skill progression and user growth. The formula incorporates task complexity, skill level differences, and a starting bonus to create a balanced reward system. Users are encouraged to engage in tasks that match or slightly challenge their current skill levels, fostering sustainable growth.

Formula

The total experience points (EXP) for a task are calculated as follows:

$$ \text{Total} = (\text{Base EXP} \times \text{TC} \times \text{LF}) + \text{Starting Bonus} $$

Where:

• Base EXP: The base experience points for completing the task.
• Task Complexity (TC): Calculated based on task Difficulty, Importance, and Urgency.
• LF (Learning Factor): Adjusts EXP based on the level difference between the task difficulty and the user’s skill level in relevant skills.
• Starting Bonus: An experience bonus awarded for acknowledging the task. It can be claimed once the task is completed.

Task Complexity Calculation

Task Complexity is calculated as:

$$ \text{Task Complexity} = \text{Difficulty} + \text{Importance} + \text{Urgency} $$

Each of these parameters ranges from 1 to 4, as explained below.

Learning Factor Calculation

The learning factor (LF) adjusts experience based on the difference between the skill difficulty level (SD i) and the user’s current skill level (SL i) in each relevant skill.

1. Individual Learning Factor (LF i) for each skill:

   $$ \text{LF}_i = 1 + (\frac{SD_i - SL_i}{100}) $$

   • SD i (Skill Difficulty Level) is limited by the following constraint:

   $$ \text{SD}_i = 1 \leq \text{SD}_i \leq \frac{3 \times \text{SL}_i}{2} $$

   • This restriction ensures that tasks remain within a manageable difficulty range relative to the user’s skill level. For example, if SL i (skill level) is 5, the maximum SD i for related tasks is 7.5, ensuring that users aren’t assigned tasks far beyond their capability.

2. Average Learning Factor (LF):

   After calculating LF i for each relevant skill, the average learning factor (LF) is derived as follows:

   $$ \text{LF} = \frac{\Sigma_{n}^{i=1}LF_i}{n} $$

   Where n represents the total number of relevant skills for the task.

Explanation of Variables and Constraints