
    sh\                     ,   S SK Jr  S SKJr  S SKJrJrJr  S SKJ	r	J
r
JrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJr  S SKJrJrJrJrJ r J!r!J"r"J#r#J$r$J%r%J&r&J'r'  S SK(J)r)J*r*  S SK(J+r+J,r,J-r-J.r.J/r/J0r0  S SKJ1r1J2r2J3r3J4r4J5r5J6r6J7r7J8r8J9r9J:r:J;r;J<r<J=r=J>r>J?r?J@r@JArAJBrBJCrCJDrDJErEJFrFJGrGJHrHJIrIJJrJJKrKJLrLJMrMJNrNJOrOJPrPJQrQJRrRJSrSJTrTJUrUJVrVJWrWJXrXJYrYJZrZJ[r[J\r\J]r]J^r^J_r_J`r`JaraJbrbJcrcJdrdJereJfrfJgrgJhrhJiriJjrjJkrkJlrlJmrmJnrnJoroJprpJqrqJrrrJsrsJtrtJuruJvrvJwrwJxrxJyryJzrzJ{r{J|r|J}r}J~r~JrJrJrJrJrJrJrJrJrJrJrJrJrJrJrJr  \" \%\&\'/S	S
S.S	SS.S	S	S
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S.SS0SS0S.S9r\GR                   r\GR#                  \\%5        \GR%                  \\5        \GR#                  \\&5        \GR%                  \\5        \GR#                  \\'5        \GR%                  \\5        \GR#                  \\5        \GR%                  \\\-  \S-  -  5        \GR#                  \\5        \GR%                  \\\-  5        \GR#                  \\"5        \GR%                  \\\-  5        \GR#                  \\#5        \GR%                  \\\S-  -  5        \GR#                  \\ 5        \GR%                  \\5        \GR#                  \;S	\%-  5        \GR%                  \;S	\-  5        \GR#                  \A\%S-  5        \GR%                  \A\S-  S-  5        \GR#                  \B\%S-  5        \GR%                  \B\S-  S-  5        \GR#                  \D\%S-  \&S
-  -  \'S-  -  5        \GR%                  \DS\S-  -  \\S-  -  -  5        \GR#                  \E\$5        \GR%                  \ES\-  \-  5        \GR#                  \G\5        \GR%                  \GS\-  \-  5        \GR#                  \H\5        \GR%                  \H\GS\-  -  5        / SQrg)    )S)pi)DimensionSystemhertzkilogram)GHzJNPaWcgkgmsmetergramsecondnewtonjoulewattpascal)accelerationactionenergyforce	frequencymomentumpowerpressurevelocitylengthmasstime)PREFIXESprefix_unit)kibimebigibitebipebiexbi)^cdKcoulombvoltohmsiemensfaradhenryteslaweberdioptreluxkatalgray	becquerelinchhectareliterjulian_yeargravitational_constantspeed_of_lightelementary_chargeplanckhbarelectronvoltavogadro_numberavogadro_constantboltzmann_constantstefan_boltzmann_constantatomic_mass_constantmolar_gas_constantfaraday_constantjosephson_constantvon_klitzing_constantacceleration_due_to_gravitymagnetic_constantvacuum_permittivityvacuum_impedancecoulomb_constant
atmospherebarpoundpsimmHgmilli_mass_unitquart	lightyearastronomical_unitplanck_massplanck_timeplanck_temperatureplanck_lengthplanck_chargeplanck_areaplanck_volumeplanck_momentumplanck_energyplanck_forceplanck_powerplanck_densityplanck_energy_densityplanck_intensityplanck_angular_frequencyplanck_pressureplanck_currentplanck_voltageplanck_impedanceplanck_accelerationbitbytekibibytemebibytegibibytetebibytepebibyteexbibytecurie
rutherfordradiandegree	steradianangular_milatomic_mass_unitgeekPaampereu0kelvinmolmolecandelaelectric_constant	boltzmannangstrom   )r#   r%   )r$   r#   r%      )r#   r$   r%   r%   r#      )r"   r   r   r   r   r    r!   r   r   areavolume)dimensional_dependenciesi'  i  g̊X=iJxg19)rY   rU   r   r   rR   r   rQ   r   r@   r7   ry   r?   rL   rM   rH   re   ri   r   r   rr   r;   r(   rV   rz   r'   r&   r_   r   r   r   rk   r   r<   rq   rB   r8   r   r   r	   r    r9   rn   r   rw   rh   r}   r)   r/   rd   r[   r!   r   r   rI   r   r   rg   r-   r   r   r   rE   rv   r   r.   r1   rb   r   dimsys_length_weight_timer,   rS   rD   r4   rA   r   r   r6   r~   rN   rc   rJ   r]   r
   r   ro   rf   rK   r{   rC   r   r^   r5   rl   r2   rW   rm   r   rG   rX   rO   ra   r|   r   r   rj   ru   r#   rP   r`   r+   r=   rF   rT   r   r   r   rZ   r*   rp   r   r   r0   r3   rs   r   r   rt   r   r\   r$   r%   rx   r"   r   r:   N)sympy.core.singletonr   sympy.core.numbersr   sympy.physics.unitsr   r   r   sympy.physics.units.definitionsr   r	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   5sympy.physics.units.definitions.dimension_definitionsr   r   r   r   r   r   r    r!   r"   r#   r$   r%   sympy.physics.units.prefixesr&   r'   r(   r)   r*   r+   r,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   rO   rP   rQ   rR   rS   rT   rU   rV   rW   rX   rY   rZ   r[   r\   r]   r^   r_   r`   ra   rb   rc   rd   re   rf   rg   rh   ri   rj   rk   rl   rm   rn   ro   rp   rq   rr   rs   rt   ru   rv   rw   rx   ry   rz   r{   r|   r}   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   Oneset_quantity_dimensionset_quantity_scale_factor__all__     ڂ/Users/tiagomarins/Projetos/claudeai/copy_bank/venv/lib/python3.13/site-packages/sympy/physics/units/systems/length_weight_time.py<module>r      s   " ! @ @    3 3 3 3 ?                        * ,
	- b) "-a41b1Ar21b1b"5"Ar2qMm * ee  0 0 ?  3 3E3 ?  0 0t <  3 3D# >  0 0 >  3 3FC @  0 0 ?  3 3FHUN6ST9<T U  0 0 ?  3 3E6%< H  0 0u =  3 3D%, G  0 0 B  3 3FF5!8O L  0 0	 B  3 3E3 ?  0 0!f* E  3 3GQuW E  0 0&!) D  3 3GeQh=O P  0 0	 B  3 3E5!8D= I  0 01GSTW[_aWaIadhlndnIn o  3 34JKXY[\X\L\^`abdeae^eLf g  0 0 J  3 3NIeOTZDZ [  0 0 @  3 3FN5<PQW<W X
  0 0v >  3 3D&AF:K Lr   