return -coeffs[0]  # D = -slope Â
``` Â
- Lacunarity Check: Verify self-similarity via \( \Lambda(r) = \langle N(r)^2 \rangle / \langle N(r) \rangle^2 \). Â
3. Validation & Calibration
Tests on Simulations
1. RSH vs. CDM: Â
  - RSH voids should show D 2.7, CDM voids D 3.0. Â
2. Resolution Study: Ensure convergence for grid sizes 128--1024. Â
Observational Data (DESI/SDSS): Â
- Apply identical pipeline to galaxy catalogs with redshift-space corrections. Â
4. Key Equations Â
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