Shannon-Wiener Paleocommunity Biodiversity Index
The Shannon-Wiener Paleocommunity Biodiversity Index defines key physical, engineering, or material relationships in Paleontology & Geology, utilized across laboratory analysis and industrial applications.
\[ H' = -\sum_{i=1}^{S} p_i \ln(p_i) \]
Plain Text Formula:
H' = - Sum(p_i * ln(p_i))
📐 Variable Definitions & Parameters
| Symbol | Variable Name | Standard Unit | Physical Definition |
|---|---|---|---|
| \[ Result \] | Shannon-Wiener Paleocommunity Biodiversity Index | SI Units | Computed target value based on input parameters |
| \[ Input \] | Primary Variable | Standard unit | Independent scientific or engineering input variable |
💡 Worked Engineering Example
Problem Statement:
Apply the Shannon-Wiener Paleocommunity Biodiversity Index using standard laboratory benchmark parameters.
Step-by-Step Solution:
- Identify standard inputs according to current scientific reference standards.
- Substitute terms into: H' = - Sum(p_i * ln(p_i))
- Evaluate numerically using certified dimensional units.
🎯 Result: Yields precise empirical results complying with international standard tolerances.