
    Rie&8                        d dl mZmZmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZ d dlmZmZ d dlmZ d dlmZmZmZmZmZmZmZmZmZmZm Z m!Z!m"Z"m#Z# d dl$m%Z%m&Z& ej'        Z' e&dd          xZ(Z)e(*                     ed	d
          e'            e&d          Z+e+*                     ed	d          e'            e&dd          xZ,xZ-Z.e-/                    e            e&ddd          xZ0xZ1Z2e1*                    edz  e-            e&dd          xZ3xZ4Z5 e&dd          xZ6xZ7Z8 e&dd          xZ9xZ:Z; e&dd          xZ<xZ=Z> e&dd          xZ?xZ@ZAe?*                    ee=            e&dd           xZBxZCZD e&d!d"          xZExZFZGeF/                    e            e&d#d$          xZHxZIZJeI/                    e            e&d%d&          xZKxZLZMeL/                    e            e&d'd(          xZNxZOZPeO/                    e            e&d)d*          xZQxZRZS e&d+d,          xZTxZUZV e&d-d.          xZWxZXZY e&d/d0          xZZxZ[xZ\Z] e&d1d2          xZ^xZ_Z` e&d3          Zaea*                    e'd4z  eQ            e&d5          Zbeb*                    e'd6z  eT            e&d7d8          xZcxZdZeec/                    e            e&d9d:          xZfxZgxZhZief/                    e            e&d;d;d<          xZjZkej/                    e            e&d=d>          xZlxZxZmZnel/                    e	            e&d?d@          xZoxZpZqeo/                    e
            e&dAdB          xZrxZsZter/                    e            e&dCdD          xZuxZvZweu/                    e            e&dEdF          xZxxZyxZzZ{ex/                    e            e&dG          Z| e&dHdI          xZ}xZ~Z e&dJ          Z e&dK          Z e&dL          Z e&dM          Z e&dN          Z e&dO          xZxZxZZ e&dPdQ          xZZ e&dRdS          xZZ e&dT          xZZ e&dUdV          xZZ e&dWdX          xZxZZe*                    ee=            e&dYdZd[          xZxZZe*                    ee=            e%d\          xZxZxZxZxZZ e&d]d^          xZxZZe*                    ee=            e&d_d`          xZZ e&dadb          xZxZZe*                    ee:            e&dcdd          xZxZZe*                    ee:            e&dedf          xZxZZe*                    ee:            e&dgdh          xZxZZe*                    ee:            e&didjdk          xZxZxZxZZe*                    ee:            e&dldm          xZxZZe*                    ee:            e&dndo          xZxZZe*                    ee:            e&dpdq          xZxZZe*                     edrds          e:            e&dt          xZZe*                     ed	du          e            e&dvdw          xZxZZe*                    dxe            e&dy          xZxZZe*                    dze            e&d{          xZxZZeĠ*                    d|e            e&d}d~          xZZeǠ*                     ed	d          e:            e&dd          xZZ e&d          xZxZxZZ e&d          xZxZxZZeϠ*                     ed	d          eͦ            e&d          xZxZxZZeӠ*                     ed	d
          eͦ            e&d          xZxZxZZeנ*                     ed	d          eͦ            e&dd          xZxZZeܠ*                    eeC            e&ddd          xZxZZeߠ*                    eeC            e&dd          xZxZZe*                    eeC            e&dd          xZxZZe*                    eeC            e&d          xZZe*                    deC            e&d          xZxZZe*                    de            e&d          xZZe*                    de            e&d          xZZe*                    de            e&d          xZZe*                    deD            e&d          xZZe*                    de            e&d          xZZe*                    de            e&d          xZZe*                    de'dz  z   e            e&d          xZZe*                    de            e&d          xZZe*                    de            e&d          xZZe*                    de           exZZ e%dd          xZ Z e%dd          xZZ e%dd          Z e%dd          Z e%dd          Z e%dd          xZxZZ	 e%d          Z
 e%d          xZZ e%d          xZZ e%d          xZZ e%dd          xZZ e%d          Z e%dd          Z e%dd          Z e%dd          xZxZZ e%d          xZxZZ e%d          xZxZZ e%ddd          xZZ  e%dd¬          xZ!xZ"Z# e&ddĬ          xZ$xZ%Z& e&ddƬ          xZ'Z(e(*                    ee\            e&ddǬ          xZ)Z* e&dȦ          xZ+Z, e&dɦ          Z-dʐZ. e&d˦          xZ/Z0e$*                    deZ           e)*                    d
e'           e+*                     eddΦ          e?            e&dϦ          xZ1xZ2Z3 e&dЦ          xZ4Z5 e&ddҬ          xZ6xZ7Z8 e&ddԬ          xZ9xZ:Z; e&ddd׬          Z< e&dddڬ          Z= e&dddݬ          Z> e&ddd          Z? e&ddd          Z@ e&d          ZA e&d          ZB e&d          ZC e&ddd          ZD e&ddd          ZE e&ddd          ZF e&ddd          ZG e&dd          ZH e&ddd          ZI e&ddd          ZJ e&ddd          ZK e&ddd          ZL e&dd d          ZM e&ddd          ZN e&ddd          ZO e&d          xZPZQeP/                    e            e&d	          xZRZS e&d
          xZTZU e&d          xZVZW e&d          xZXZY e&d          xZZZ[ e&d          xZ\Z] e&d          xZ^Z_eR*                    deP           eT*                    eeR           eV*                    eeR           eX*                    e eR           eZ*                    e!eR           e\*                    e"eR           e^*                    e#eR            e&dd          xZ`Za e&dd          xZbZcdS (      )currenttemperatureamount_of_substanceluminous_intensityanglechargevoltage	impedanceconductancecapacitance
inductancemagnetic_densitymagnetic_fluxinformation)Rationalpi)S)kilomegamillimicrodecicentinanopicokibimebigibitebipebiexbi)PhysicalConstantQuantitypercentz\%)
latex_repr   d   permillei  radianrad)abbrevdegreedegz^\circ)r+   r%      	steradiansrangular_milmilmetermgramgkilogramkgsecondsampereAkelvinKmolemolcandelacdnewtonNjouleJwattWpascalPahertzHzdynei ergi coulombCvoltVohmz\Omegasiemensr   faradFhenryHteslaTweberWb
statamperestatcoulombstatCstatvoltgaussmaxwelldebyeoersteddioptreluxlxkatalkatgray	becquerelBq	milligrammg	microgramugz\mu\text{g}atomic_mass_constanttonnetelectron_rest_massme	kilometerkm	decimeterdm
centimetercm
millimetermm
micrometerumz\mu\text{m}	nanometernm	picometerpmfootfti  i'  inch   yardyd   milei  nautical_milei  angstromz\r{A}l    d(	 hectarehaliter	deciliter
   
centiliter
millilitermillisecondmsmicrosecondusz\mu\text{s}
nanosecondns
picosecondpsminute<   hourday   anomalistic_yeargx'v@sidereal_yearg
ףX~Atropical_yeargv@common_yearim  julian_year   draconic_yeargRu@gaussian_yearg^NdAv@full_moon_cyclegy@gravitational_constantGspeed_of_lightcelementary_chargeeplanckhhbarelectronvolteVavogadro_numberavogadro_constantboltzmann_constantstefan_boltzmann_constantmolar_gas_constantRfaraday_constantjosephson_constantK_jvon_klitzing_constantR_kacceleration_due_to_gravitymagnetic_constantvacuum_permittivityvacuum_impedanceZ_0zZ_{0}coulomb_constantk_e
atmosphereatm
kilopascalkPabarpoundpsig{0+@mmHgi͋ i i milli_mass_unitquart	lightyearlyastronomical_unitAUplanck_massm_Pz
m_\text{P}planck_timet_Pz
t_\text{P}planck_temperatureT_Pz
T_\text{P}planck_lengthl_Pz
l_\text{P}planck_chargeq_Pz
q_\text{P}planck_areaplanck_volumeplanck_momentumplanck_energyE_Pz
E_\text{P}planck_forceF_Pz
F_\text{P}planck_powerP_Pz
P_\text{P}planck_densityrho_Pz\rho_\text{P}planck_energy_densityzrho^E_Pplanck_intensityI_Pz
I_\text{P}planck_angular_frequencyomega_Pz\omega_\text{P}planck_pressurep_Pz
p_\text{P}planck_currentplanck_voltageV_Pz
V_\text{P}planck_impedanceZ_Pz
Z_\text{P}planck_accelerationa_Pz
a_\text{P}bitbytekibibytemebibytegibibytetebibytepebibyteexbibyte   curieCi
rutherfordRdN(d  5sympy.physics.units.definitions.dimension_definitionsr   r   r   r   r   r   r	   r
   r   r   r   r   r   r   sympy.core.numbersr   r   sympy.core.singletonr   S_singletonsympy.physics.units.prefixesr   r   r   r   r   r   r   r   r   r   r   r   r    r!   sympy.physics.units.quantitiesr"   r#   Oner$   percents set_global_relative_scale_factorr(   r*   r)   radiansset_global_dimensionr-   r,   degreesr0   r/   
steradiansr2   r1   angular_milsr4   r3   metersr6   r5   gramsr8   r7   	kilogramsr:   r9   secondsr<   r;   amperesr>   r=   kelvinsr@   r?   molesrB   rA   candelasrC   newtonsrD   rE   joulesrF   rG   wattsrH   rI   pascalsrJ   parK   hzrL   rM   rN   rO   coulombsrP   rQ   voltsvrR   rS   ohmsrT   mhomhosrU   faradsrV   rW   henrysrX   rY   teslasrZ   r[   webersr\   wbr]   r^   r_   franklinr`   ra   rb   rc   rd   optical_powerre   diopterDrf   rg   rh   ri   rj   Gyrk   rl   rn   rm   
milligramsrp   ro   
microgramsDadaltonamuamusatomic_mass_unitrq   rs   
metric_tonrr   ru   rt   rw   rv   
kilometersry   rx   
decimetersr{   rz   centimetersr}   r|   millimetersr   r~   micrometersmicronmicronsr   r   
nanometersr   r   
picometersr   r   feetr   inchesr   r   yardsmir   milesnmir   nautical_milesr   	angstromsr   r   lLr   litersdldLr   
decilitersclcLr   centilitersmlmLr   millilitersr   r   millisecondsr   r   microsecondsr   r   nanosecondsr   r   picosecondsr   minutesr   r   hoursr   daysr   anomalistic_yearsr   sidereal_yearsr   tropical_yearsr   common_yearsr   julian_yearsr   draconic_yearsr   gaussian_yearsr   full_moon_cyclesyearyearsr   r   r   r   r   r   r   r   r   electronvoltsr   avogadror   	boltzmannr   stefanr   r   r   r   r   r   geegeesr   u0r   vacuum_permeabilitye0electric_constantr   Z0r   r   coulombs_constantelectric_force_constantr   atmospheresr   r   r   r   barsr   poundsr   dHg0r   torrmmummusr   r   quartsr   r   
lightyearsaur   astronomical_unitsr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   bitsr   bytesr   	kibibytesr   	mebibytesr   	gibibytesr   	tebibytesr   	pebibytesr   	exbibytesr  r  r  r       Plib/python3.11/site-packages/sympy/physics/units/definitions/unit_definitions.py<module>r     s                                  . - - - - - - - 1 1 1 1 1 1 ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ E E E E E E E Eo
 XiE::: :(  ( (!S)9)93 ? ? ?8J  ) )((1d*;*;S A A A "(5999 9 9fw   E " " "!(5YOOO O Ofw  ' '3 7 7 7&h{4@@@ @ @Y#+8M%#H#H#H H HkL Xgc222 2 2EF 8F3/// / /D5 %HZ=== = =X	  # #D$ / / /x555 5 5FWx555 5 5FW   G $ $ $x555 5 5FW   K ( ( (XfU333 3 3dU   - . . ."(9T::: : :Wx   / 0 0 0  x555 5 51Xgc222 2 28F3/// / /uq%Xht<<< < < <2(74000 0 0R x  % %c%i 8 8 8huoo  $ $SY 6 6 6 ")C888 8 8(Q   V $ $ $xs333 3 3u 3q1   ' " " "XeEi@@@ @d    # # ##8Ic::: : :! :cD   [ ) ) )Xgc222 2 2   ; ' ' 'Xgc222 2 2   : & & &Xgc222 2 2   + , , ,#8GD999 9 9 9b   = ) ) ) Xl##
!)-!H!H!H H Heh8J
(9


(9

 )1(;(; ; ; ;'A8E$''' 'b hwu--- - HV r +d333 3	B
 'h{4@@@ @ @Y  # #E4 0 0 0&h{4N[[[ [ [Y  # #E4 0 0 0 FVEUVlEmEm m mV mc mD m+.B!'#666 6 6J  & &tT 2 2 2 #(#7EEE E
 'h{4@@@ @ @Y  # #D% 0 0 0&h{4@@@ @ @Y  # #D% 0 0 0 (d C C C C CZ+  # #E5 1 1 1 (d C C C C CZ+  # #E5 1 1 1 H\$>BBBC CZ C+ C  # #E5 1 1 1&h{4@@@ @ @Y  # #D% 0 0 0&h{4@@@ @ @Y  # #D% 0 0 08F4000 0 0TD  # #HHT5$9$95 A A A    v  % %hhq"oot < < <HVD111 1 1TE  # #At , , ,HV$$ $ $TE  # #D$ / / /'/x'@'@ @ @mn  $ $T4 0 0 0x
x@@@ @9  ) )((1f*=*=u E E E
 x	$/// /W!'** * *A *#+8K#8#8 8 8R 8)j  # #HHQOOU ; ; ;%-Xl%;%; ; ;R ;*{  # #HHQ$4$4e < < <%-Xl%;%; ; ;R ;*{  # #HHQ$5$5u = = =
 #+(="F"F"F F F[<  , ,UF ; ; ;"*(=R`"a"a"a a a[<  , ,UF ; ; ; (d C C C C CZ+ 
 + +D& 9 9 9 (d C C C C CZ+ 
 + +D& 9 9 98H%% %  ' 'F 3 3 38F## # #D5  % %b& 1 1 1Xe__ d  $ $R . . .'/x0B'C'C C $  1 1*c B B B!)/!:!: :  . .|W E E E!)/!:!: :  . .y# > > >%Xm44 4l  , ,S# 6 6 6%Xm44 4l  , ,cCEkC @ @ @!)/!:!: :  . .vs ; ; ;!)/!:!: :  . .{C @ @ @%-X.?%@%@ @"  0 0s C C C u .-.FsSSS S &%&6sCCC CN %$%8EEE  
	(3	/	/	/ v... %5$4^D$Q$Q$Q Q Q\M #"#455  0/0CDD D "2!12F!G!G G	 &6%56Q%R%R R	" *)*>sKKK K $#$677  &%&:5III  )()@OOO  ,<+;<Ybe+f+f+f f fd( 0@/?@S/T/T T T, 0@/?@U/V/V V V, )();EV^___ _ '6667  7$'> "*,u!E!E!E E
 E[38L777 7j 
 + +D" 5 5 5XeE*** *d'"" "huoohv t 
 + +FF ; ; ;  $ $S# . . .  & &xx)'D'Db I I I'x(9:: : :d_'"" "
 'h{4@@@ @ @Y.6h7JSW.X.X.X X X+ h}U}MMMh}U}MMMX25)68 8 8  =QQQ=QQQ h}%%))(,--=QQQxuOOOxuOOO*7GWXXX !8KKK 8.uWWW #8$>y/AC C C  (,U}UUU*5]SSS*5]SSS8.uWWW h4U*79 9 9 
 Xe__ d    % % %x ux
++ +9x
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++ +9x
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++ +9x
++ +9  % %a - - -  ) )$ 5 5 5  ) )$ 5 5 5  ) )$ 5 5 5  ) )$ 5 5 5  ) )$ 5 5 5  ) )$ 5 5 5 Xgd+++ +(<555 5
RRRr  