input: from typing import List, Tuple
  
  def calculate_thermal_resistance(temperatures: List[float], wavelengths: List[float], slopes: List[float]) -> Tuple[ev.errval, ev.errval, ev.errval]:
      """ This function calculates the thermal resistance based on given temperatures, wavelengths, and slopes.
      It returns the thermal resistance, the change in wavelength per change in dissipation, and the initial wavelength offset.
      
      >>> temperatures = [20.0, 25.0, 30.0]
      >>> wavelengths = [500.0, 510.0, 520.0]
      >>> slopes = [0.1, 0.105, 0.11]
      >>> calculate_thermal_resistance(temperatures, wavelengths, slopes)
      (R_th, dldD, dldT)
      """
      # Example implementation for demonstration purposes
      # Assuming ev.errval is a type that can represent error values
      T_active = ev.errvallist(temperatures)
      wavelength = ev.errvallist(wavelengths)
      slopes = ev.errvallist(slopes)
      
      dldD, dldT, l0 = thermal_resistance(T_active, wavelength, slopes)
      R_th = dldD / dldT
      
      return R_th, dldD, dldT
output:     def thermal_resistance(T_active, wavelength, slopes):
          dldD = ev.errval(0.0)
          dldT = ev.errval(0.0)
          l0 = ev.errval(0.0)
          
          for i in range(len(T_active) - 1):
              dT = T_active[i + 1] - T_active[i]
              dl = wavelength[i + 1] - wavelength[i]
              dldD += dl / dT
              dldT += slopes[i] * dT
              l0 += wavelength[i] - slopes[i] * T_active[i]
          
          dldD /= len(T_active) - 1
          dldT /= len(T_active) - 1
          l0 /= len(T_active) - 1
          
          return dldD, dldT, l0