






from math import pow, sqrt
def 	lowerCamelCase   (		*a_      )      ->     List[str]:
							lowerCAmelCase_									=	len(_UpperCamelCase      ) > 0 and all(value > 0.0 for value in values      )
							return result
def 	lowerCamelCase   (		a_					,		a_      )      ->     int:
							return (
							    round(sqrt(molar_mass_a / molar_mass_a      )					,		6      )
							    if validate(_UpperCamelCase					,		_UpperCamelCase      )
							    else ValueError('Input Error: Molar mass values must greater than 0.'      )
							)
def 	lowerCamelCase   (		a_					,		a_					,		a_      )      ->     Dict:
							return (
							    round(effusion_rate * sqrt(molar_mass_a / molar_mass_a      )					,		6      )
							    if validate(_UpperCamelCase					,		_UpperCamelCase					,		_UpperCamelCase      )
							    else ValueError(
							        'Input Error: Molar mass and effusion rate values must greater than 0.'      )
							)
def 	lowerCamelCase   (		a_					,		a_					,		a_      )      ->     List[str]:
							return (
							    round(effusion_rate / sqrt(molar_mass_a / molar_mass_a      )					,		6      )
							    if validate(_UpperCamelCase					,		_UpperCamelCase					,		_UpperCamelCase      )
							    else ValueError(
							        'Input Error: Molar mass and effusion rate values must greater than 0.'      )
							)
def 	lowerCamelCase   (		a_					,		a_					,		a_      )      ->     List[str]:
							return (
							    round(molar_mass / pow(effusion_rate_a / effusion_rate_a					,		2      )					,		6      )
							    if validate(_UpperCamelCase					,		_UpperCamelCase					,		_UpperCamelCase      )
							    else ValueError(
							        'Input Error: Molar mass and effusion rate values must greater than 0.'      )
							)



def 	lowerCamelCase   (		a_					,		a_					,		a_      )      ->     Dict:
							return (
							    round(pow(effusion_rate_a / effusion_rate_a					,		2      ) / molar_mass					,		6      )
							    if validate(_UpperCamelCase					,		_UpperCamelCase					,		_UpperCamelCase      )
							    else ValueError(
							        'Input Error: Molar mass and effusion rate values must greater than 0.'      )
							)








import math





def 		a__      (		_UpperCamelCase      :			float			,_UpperCamelCase      :			float				):
   if (
       not isinstance(_UpperCamelCase			,(int, float)				)
       or power_factor < -1
       or power_factor > 1
   ):
      raise ValueError('''power_factor must be a valid float value between -1 and 1.'''				)
   return apparent_power * power_factor





def 		a__      (		_UpperCamelCase      :			float			,_UpperCamelCase      :			float				):
   if (
       not isinstance(_UpperCamelCase			,(int, float)				)
       or power_factor < -1
       or power_factor > 1
   ):
      raise ValueError('''power_factor must be a valid float value between -1 and 1.'''				)
   return apparent_power * math.sqrt(1 - power_factor**2				)


if __name__ == "__main__":
  import doctest

  doctest.testmod()






