+
    i8                       a  0 t $ R t^ RIHt ^ RIHtHtHt ^ RIH	t	 ^ RI
HtHt ^ RIHt ^ RIHt ^ RIHtHtHtHtHtHtHtHtHtHtHtHtHtHtH t H!t!H"t"H#t#H$t$H%t%H&t&H't'H(t(H)t) ^ RI*H+t+H,t,H-t-H.t.H/t/H0t0H1t1H2t2H3t3H4t4H5t5H6t6H7t7H8t8H9t9H:t:H;t;H<t<H=t=H>t>H?t?H@t@HAtAHBtBHCtCHDtDHEtEHFtFHGtGHHtHHItIHJtJHKtKHLtLHMtMHNtNHOtOHPtPHQtQHRtRHStSHTtTHUtUHVtVHWtWHXtXHYtYHZtZH[t[H\t\H]t]H^t^H_t_H`t`HataHbtbHctcHdtdHeteHftfHgtgHhthHitiHjtjHktkHltlHmtmHntnHotoHptpHqtqHrtrHstsHtttHutuHvtvHwtwHxtxHytyHztzH{t{H|t|H}t}H~t~HtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHtHt ^ R	IHtHt ^ R
IHtHt ]]]] ]!]"]#]$]%]&]'](])3t]])]3t]]0]1]?]5],]4]2]3]6]7]:]8]9]=]<];]]?]B]A]@.t. tR]R&   ] F  t]EPG                  ]! ]]4      4       K  	  ]EPG                  ]4       ]EPG                  ]]0]1]?.4       ]EPF                  ! ]]]).4      t]EPG                  ].4      t]EPF                  ! ]]0]13]R]/ ]!]3b]&]=b]]-b]]8b]]4b]]b]#]7b]].b]]5b](];b]]b]]b])]b]%]9b]]+b]']<b]"]6b]],]$]:] ]2]].]-,          /CR7      t]EPN                  t]EPQ                  ]]4       ]EPS                  ]]4       ]EPS                  ]]4       ]EPS                  ]]4       ]EPS                  ]]4       ]EPS                  ]6]4       ]EPS                  ]7]2]6,          4       ]EPS                  ]8]7],          4       ]EPS                  ]9]]7,          4       ]EPS                  ]:]6]7,          4       ]EPS                  ];]7]-,          ],          4       ]EPS                  ]<]7]-,          ].^,          ,          4       ]EPS                  ]=]2],          4       ]EPQ                  ]?])]^,          ,          4       ]EPS                  ]?]],          ].^,          ,          4       ]EPQ                  ]@]],          4       ]EPS                  ]@]]-,          4       ]EPQ                  ]A] ],          4       ]EPS                  ]A].^,          ]-^,          ,          4       ]EPQ                  ]B^],          4       ]EPS                  ]B^]-,          4       ]EPQ                  ]H]"4       ]EPS                  ]HR]6,          4       ]EPQ                  ]K] 4       ]EPS                  ]KR]2,          4       ]EPQ                  ]L]4       ]EPS                  ]LR4       ]EPQ                  ]M]R,          4       ]EPS                  ]M]L],          4       ]EPQ                  ]N] ],          4       ]EPS                  ]NR]2,          ],          4       ]EPQ                  ]P] ]R,          ,          ]R,          ,          ]R,          ,          4       ]EPS                  ]P]^,          ]N^,          ,          ^<]J^,          ,          ]G^,          ,          ,          4       ]EPQ                  ]R]4       ]EPS                  ]RR]/,          4       ]EPQ                  ]S] ]],          ,          4       ]EPS                  ]S]N]M,          4       ]EPQ                  ]T]"],          4       ]EPS                  ]T]H]M,          4       ]EPQ                  ]U]]#,          4       ]EPS                  ]UR]I,          ]H,          4       ]EPQ                  ]V]#],          4       ]EPS                  ]V]J]H^,          ,          4       ]EPQ                  ]W]4       ]EPS                  ]WR].,          ]-^,          ,          4       ]EPQ                  ]X]]^,          ,          4       ]EPS                  ]X^],          R,          ],,          ]^,          ,          4       ]EPQ                  ]Y]$],          4       ]EPS                  ]Y^]]^,          ,          ,          4       ]EPQ                  ]Z]4       ]EPS                  ]Z]],          4       ]EPQ                  ]O]4       ]EPS                  ]OR]+,          4       ]EPQ                  ][]]^,          ,          ]"^,          ,          4       ]EPS                  ][^^],          ]Y,          ,          4       ]EPQ                  ]_]4       ]EPS                  ]_]^],          ]C^,          ,          4       ]EPQ                  ]`]4       ]EPS                  ]`]]W,          ]+,          ].^,          ,          4       ]EPQ                  ]a]4       ]EPS                  ]a]R,          4       ]EPQ                  ]b]^,          4       ]EPS                  ]b]! ^^4      ]C^,          ,          4       ]EPQ                  ]c]4       ]EPS                  ]c]G]E,          4       ]EPQ                  ]d]4       ]EPS                  ]dR].,          4       ]EPQ                  ]e]4       ]EPS                  ]e]! ]J]G,          ],          4      4       ]EPQ                  ]f]4       ]EPS                  ]f]! ]J],          ]G^,          ,          4      4       ]EPQ                  ]g]4       ]EPS                  ]g]! ]J]G^,          ,          ],          ]^,          ,          4      4       ]EPQ                  ]h]4       ]EPS                  ]h]! ]J],          ]G^,          ,          4      4       ]EPQ                  ]i]"4       ]EPS                  ]i]! ^],          ],          ]J,          ]G,          4      4       ]EPQ                  ]j]^,          4       ]EPS                  ]j]h^,          4       ]EPQ                  ]k]^,          4       ]EPS                  ]k]h^,          4       ]EPQ                  ]l]],          4       ]EPS                  ]l]e]G,          4       ]EPQ                  ]m] 4       ]EPS                  ]m]e]G^,          ,          4       ]EPQ                  ]n]4       ]EPS                  ]n]m]h,          4       ]EPQ                  ]o]!4       ]EPS                  ]o]m]f,          4       ]EPQ                  ]p]]^,          ,          4       ]EPS                  ]p]e]h^,          ,          4       ]EPQ                  ]q] ]^,          ,          4       ]EPS                  ]q]m]h^,          ,          4       ]EPQ                  ]r]]R,          ,          4       ]EPS                  ]r]q]G,          4       ]EPQ                  ]s^],          4       ]EPS                  ]s^]f,          4       ]EPQ                  ]t]4       ]EPS                  ]t]n]h^,          ,          4       ]EPQ                  ]u]4       ]EPS                  ]u]i]f,          4       ]EPQ                  ]v]#4       ]EPS                  ]v]m]i,          4       ]EPQ                  ]w]4       ]EPS                  ]w]v]u,          4       ]EPQ                  ]x]4       ]EPS                  ]x]G]f,          4       ]EPQ                  ]^],          4       ]EPS                  ]R]B,          4       ]EPQ                  ]^],          4       ]EPS                  ]R]B,          4       ]! ]EPV                  EPY                  4       ]EPZ                  EPY                  4       4       FI  w  tt]EPa                  ]4      t]^8w  g   K!  ]EPd                  ! ]]! ]4      4      '       d   KC  ]! R4      h	  AA. RNRNRNRNRNR NR!NR"NR#NR$NR%NRNR&NR'NR(NR)NR*NR+NR,NR-NR.NR/NR0NR1NR2NR3NR4NR5NR6NR7NR8NR9NR:NR;NR<NR=NR>NR?NR@NRANRBNRCNRDNRENRFNRGNRHNRINRJNRKNRLNRMNRNNRONRPNRQNRRNRSNRTNRUNRVNRWNRXNRYNRZNR[NR\NR]NR^NR_NR`NRaNRbNRcNRdNReNRfNRgNRhNRiNRjNRkNRlNRmNRnNRoNRpNRqNRrNRsNRtNRuNRvNRwNRxNRyNRzNR{NR|NRNR}NR~NRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNRNtR# )zu
SI unit system.
Based on MKSA, which stands for "meter, kilogram, second, ampere".
Added kelvin, candela and mole.

)annotations)DimensionSystem	DimensiondHg0)Quantity)Rationalpi)S)sqrt)accelerationactioncurrent	impedancelengthmasstimevelocityamount_of_substancetemperatureinformation	frequencyforcepressureenergypowerchargevoltagecapacitanceconductancemagnetic_fluxmagnetic_density
inductanceluminous_intensity)lkilogramnewtonsecondmetergramcdKjoulewattpascalhertzcoulombvoltohmsiemensfaradhenryteslaweberdioptreluxkatalgray	becquerelinchliterjulian_yeargravitational_constantspeed_of_lightelementary_chargeplanckhbarelectronvoltavogadro_numberavogadro_constantboltzmann_constantelectron_rest_massstefan_boltzmann_constantDa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ckelvinmolmolecandelamkgselectric_constantG	boltzmann)PREFIXESprefix_unit)MKSAdimsys_MKSAzlist[Quantity]	all_unitsSI)baseunitsnamedimension_systemderived_unitsgS)ڤ<gWʅDg|d^0;g/K ;g      ?g:#@gy9i  l   cZt) l    2:" i@B z%quantity value and dimension mismatchrX   rT   r!   r$   r&   rQ   r,   rP   r   r~   r"   r=   r5   rx   r<   rK   rL   rE   r[   rh   r   r   rq   r9   rd   rU   r    r   r   r^   dimexr'   r   r   rj   r   r:   rp   r?   r   r   rS   r|   r7   rA   r   rm   rv   rg   r   r   r)   rc   rZ   r   r   r*   rF   r   r   rf   r   r+   r   rB   ru   r   r(   r/   ra   r6   rR   dimsys_defaultr2   r   r>   r   r   r-   r   r4   r}   r]   rM   rb   rH   	base_dimsr\   r{   rn   r   re   rI   rJ   rz   r%   r;   r@   rC   	dimsys_SIr3   rk   r0   rV   rl   r   rW   r   rN   r`   rD   r   r   r   ri   rt   r   rO   rG   r_   r   r   r   r   r   r   rY   ro   r   derived_dimsr   r.   r1   rr   r   r   r   rs   r#   Onery   ur   rw   r   r   r8   Ni )__conditional_annotations____doc__
__future__r   sympy.physics.unitsr   r   r   sympy.physics.units.quantitiesr   sympy.core.numbersr   r   sympy.core.singletonr	   (sympy.functions.elementary.miscellaneousr
   5sympy.physics.units.definitions.dimension_definitionsr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   sympy.physics.units.definitionsr#   r$   r%   r&   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   r   r   sympy.physics.units.prefixesr   r    sympy.physics.units.systems.mksar   r   r   r   r   r   __annotations__r   extendr   r   r   r   set_quantity_dimensionset_quantity_scale_factorzip_quantity_scale_factorsvalues_quantity_dimension_map_scale_factor
_dimensionget_dimensional_exprr   equivalent_dims
ValueError__all__)r   s   @\/var/www/html/photoedit/myenv/lib/python3.14/site-packages/sympy/physics/units/systems/si.py<module>r      s   # @ @ 3 - " 9                                 ( ? >5(FE67[- *.@B !"4kB		b!S%gtsGUE5'3	e	 	> 	A[H-. 
 
    	  #r1c" #  			 !!M 
[[sBl)$QZ k	4k5k 	&k s	k
 fk Vk Tk Ek uk k k k k k 	(k  e!k" G#k$ 
6
EeFl+k 0 ee   &# &   VS )   VS )   T3 '   Wc *   Wc *   T5= 1   S$v+ .   WfTk 2   UGDL 1   UDK$6 7   UDKq$8 9   UE&L 1   #1FaK? @   S)G"3E1H"< =   %!4t!; <   UCJ /   $ .   T5!8FAI#5 6   )QX .   Y& 1   +V 4   .0G H
   , /   \?5+@ A
   /3 /   _m <   +-@B-F G   .#0E F
   ,f{.B C   /e1CF1J K
   3Vdbj5H6UW<5WZeikZk5k l   6A@RTU@U8UY[^bde^eYehvz{h{Y{8| }
   . 5   13DT3I J
   ,fFY8Y.Z [   /1CFW1W X   *F5H,H I   -/@CT/T U   ,i'.A B   /v@Q1Q R   /71B C   2D;LPQ;Q4Q R   5| D   8'%-PQ	:Q R   +UW\-A B   ."U
V0CFAI0M N   -{V/C D   0!R!Q$Y- @   *I 6   -rAv 6   ,d 3   /1A(1J K   *EFaK,?&A+,M N   -q!B$7J2J/K L   #x (   S%#+	"9 :   $ )   T4*E#E#PSXZ[S[#[ \   /4 0   _.>t.C D   %1 -   UHS!$4tQw$> ?   )V ,   Y{(B C   +V 4   .U0B C   +t ,   [$tN/B1/D*E F   +t ,   [$tAvna6G/G*H I   ,k :   /d>1;L6LQ6NyZ[|6[1\ ]   - 0   ]Da8I1I,J K   - 0   ]D26G1G1L^1[,\ ]   +v{ 3   [-*: ;   -1 5   ]M1,< =   /4(? ;   _kN.J K   - 0   ]K.!:K,K L   , .   \==+H I   , .   \=;+F G   .$1*< =   ^[=!;K-K L   /&A+1E F   2MMSTDT4T U   *D4B<,? @   -/D~/U V   2AH =   5q; G   /8 4   _l]A=M.M N   .' 2   ^][-H I   .' 2   ^]]-J K   *I 6   -~/N O   -| <   0.;2N O   %T *   UK	$9 :   *a$h /   Z): ; "%%%'%%'"M: ##M2Ez ..z9U;KLLDEE" :
&(029#%8:C  ( *5 	 	 '	 )0	
 
 -
 /B  " $) +0 27 9?   1 3@ BL   # %. 07 9K   1 3C   !3 5= ?D FN    ", .< >D FM  
 " $. 0E  " $/ 14 6D FN    ) +< >B DJ   !3 5E GN  !  '!  )6!  8<!  >E!" #" #" (#" *7#" 9M#$ %$ /%$ 1<%& '& "'& $4'& 6A'( )( )( 2)( 4@)( BJ)( LR)* +* +*  .+* 0;+* =D+, -, !&-, (/-, 1B-, DG-, IN-. /. $/. &5/. 7H/0 10 10 *10 ,C12 32 32 332 5I34 54 "54 $*54 ,954 ;C54 EJ56 76 #76 %776 9L78 98 98 $98 &/98 1798 9H9: ;: ;: (;: *4;: 6;;: =D;: FI;< =< =< #=< %-=< /6=    