Law core problem solutions

Solution to Problem 1 – Case resonance weight#

$$ W = D_3 ΛΘ. $$

If $$Λ$$ increases by 12%:

$$ Λ' = 1.12Λ, \quad W' = D_3 (1.12Λ) Θ = 1.12 W. $$

Answer: Precedent weight increases by 12%.

Solution to Problem 2 – Legal delay time#

$$ T_d = \frac{D_9}{T_f}. $$

If $$T_f$$ increases by 20%:

$$ T_f' = 1.2 T_f, \quad T_d' = \frac{D_9}{1.2 T_f} = \frac{T_d}{1.2}. $$

Answer: Delay decreases by 16.7%.

Solution to Problem 3 – Evidence resonance strength#

$$ S = X τ_r. $$

If $$τ_r$$ is reduced by 40%:

$$ τ_r' = 0.6 τ_r, \quad S' = X (0.6 τ_r) = 0.6 S. $$

Answer: Evidence strength decreases by 40%.