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Case-insensitive dynamic search of latex as plain text:

The Feed ID links to a page where you can edit the feed

ID latex name description used in derivation symbols sympy lean 4
0000040490 \( a^2 \)

a^2

Pow(Symbol('pdg0009139'), Integer(2))

pdg_{0009139}^{2}

0000999900 \( b/(2 a) \)

b/(2 a)

Mul(Symbol('pdg0001939'), Pow(Mul(Integer(2), Symbol('pdg0009139')), Integer(-1)))

\frac{pdg_{0001939}}{2 pdg_{0009139}}

0001030901 \( \cos(x) \)

\cos(x)

cos(Symbol('pdg0001464'))

\cos{\left(pdg_{0001464} \right)}

0001111111 \( (\sin(x))^2 \)

(\sin(x))^2

Pow(sin(Symbol('pdg0001464')), Integer(2))

\sin^{2}{\left(pdg_{0001464} \right)}

0001209482 \( 2 \pi \)

2 \pi

Mul(Integer(2), Symbol('pdg0003141'))

2 pdg_{0003141}

0001304952 \( \hbar \)

\hbar

Symbol('pdg0001054')

pdg_{0001054}

0001334112 \( W \)

W

Symbol('pdg0002523')

pdg_{0002523}

0001921933 \( 2 i \)

2 i

Mul(Integer(2), Symbol('pdg0004621'))

2 pdg_{0004621}

0002239424 \( 2 \)

2

Integer(2)

2

0002338514 \( \vec{p}_{2} \)

\vec{p}_{2}

Symbol('pdg0002097')

pdg_{0002097}

0002342425 \( m/m \)

m/m

Mul(Pow(Symbol('pdg0005156'), Integer(-1)), Symbol('pdg0005156'))

1

0002393922 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0002424922 \( a \)

a

Symbol('pdg0009139')

pdg_{0009139}

0002436656 \( i \hbar \)

i \hbar

Mul(Symbol('pdg0001054'), Symbol('pdg0004621'))

pdg_{0001054} pdg_{0004621}

0002449291 \( b/(2 a) \)

b/(2 a)

Mul(Symbol('pdg0001939'), Pow(Mul(Integer(2), Symbol('pdg0009139')), Integer(-1)))

\frac{pdg_{0001939}}{2 pdg_{0009139}}

0002838490 \( b/(2 a) \)

b/(2 a)

Mul(Symbol('pdg0001939'), Pow(Mul(Integer(2), Symbol('pdg0009139')), Integer(-1)))

\frac{pdg_{0001939}}{2 pdg_{0009139}}

0002919191 \( \sin(-x) \)

\sin(-x)

sin(Mul(Integer(-1), Symbol('pdg0001464')))

- \sin{\left(pdg_{0001464} \right)}

0002929944 \( 1/2 \)

1/2

Pow(Integer(2), Integer(-1))

\frac{1}{2}

0002940021 \( 2 \pi \)

2 \pi

Mul(Integer(2), Symbol('pdg0003141'))

2 pdg_{0003141}

0003232242 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

0003413423 \( \cos(-x) \)

\cos(-x)

cos(Mul(Integer(-1), Symbol('pdg0001464')))

\cos{\left(pdg_{0001464} \right)}

0003747849 \( -1 \)

-1

Integer(-1)

-1

0003838111 \( 2 \)

2

Integer(2)

2

0003919391 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0003949052 \( -x \)

-x

Mul(Integer(-1), Symbol('pdg0001464'))

- pdg_{0001464}

0003949921 \( \hbar \)

\hbar

Symbol('pdg0001054')

pdg_{0001054}

0003954314 \( dx \)

dx

Symbol('pdg0009199')

pdg_{0009199}

0003981813 \( -\sin(x) \)

-\sin(x)

Mul(Integer(-1), sin(Symbol('pdg0001464')))

- \sin{\left(pdg_{0001464} \right)}

0004089571 \( 2 x \)

2 x

Mul(Integer(2), Symbol('pdg0001464'))

2 pdg_{0001464}

0004264724 \( y \)

y

Symbol('pdg0001452')

pdg_{0001452}

0004307451 \( (b/(2 a))^2 \)

(b/(2 a))^2

Pow(Mul(Symbol('pdg0001939'), Pow(Mul(Integer(2), Symbol('pdg0009139')), Integer(-1))), Integer(2))

\frac{pdg_{0001939}^{2}}{4 pdg_{0009139}^{2}}

0004582412 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0004829194 \( 2 \)

2

Integer(2)

2

0004831494 \( a \)

a

Symbol('pdg0009139')

pdg_{0009139}

0004849392 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0004858592 \( h \)

h

Symbol('pdg0003410')

pdg_{0003410}

0004934845 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0004948585 \( a \)

a

Symbol('pdg0009139')

pdg_{0009139}

0005395034 \( a_{\alpha} \langle \psi_{\alpha} | \psi_{\beta} \rangle \)

a_{\alpha} \langle \psi_{\alpha} | \psi_{\beta} \rangle

Symbol('pdg0002427')*Bra('pdg0004679')*Ket('pdg0002090')

pdg_{0002427} \operatorname{Bra}{\left(pdg_{0004679} \right)} \operatorname{Ket}{\left(pdg_{0002090} \right)}

0005626421 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

0005749291 \( f \)

f

Symbol('pdg0006235')

pdg_{0006235}

0005938585 \( \frac{-\hbar^2}{2m} \)

\frac{-\hbar^2}{2m}

Mul(Mul(Integer(-1), Pow(Symbol('pdg0001054'), Integer(2))), Pow(Mul(Integer(2), Symbol('pdg0005156')), Integer(-1)))

- \frac{pdg_{0001054}^{2}}{2 pdg_{0005156}}

0006466214 \( (\sin(x))^2 \)

(\sin(x))^2

Pow(sin(Symbol('pdg0001464')), Integer(2))

\sin^{2}{\left(pdg_{0001464} \right)}

0006544644 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

0006563727 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0006644853 \( c/a \)

c/a

Mul(Pow(Symbol('pdg0009139'), Integer(-1)), Symbol('pdg0004231'))

\frac{pdg_{0004231}}{pdg_{0009139}}

0006656532 \( e \)

e

Symbol('pdg0002718')

pdg_{0002718}

0007471778 \( 2(\sin(x))^2 \)

2(\sin(x))^2

Mul(Integer(2), Pow(sin(Symbol('pdg0001464')), Integer(2)))

2 \sin^{2}{\left(pdg_{0001464} \right)}

0007563791 \( i \)

i

Symbol('pdg0004621')

pdg_{0004621}

0007636749 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

0007894942 \( (\sin(x))^2 \)

(\sin(x))^2

Pow(sin(Symbol('pdg0001464')), Integer(2))

\sin^{2}{\left(pdg_{0001464} \right)}

0008837284 \( T \)

T

Symbol('pdg0009491')

pdg_{0009491}

0008842811 \( \cos(2 x) \)

\cos(2 x)

cos(Mul(Integer(2), Symbol('pdg0001464')))

\cos{\left(2 pdg_{0001464} \right)}

0009458842 \( \psi(x) \)

\psi(x)

Function('pdg0009489')(Symbol('pdg0001464'))

\operatorname{pdg}_{0009489}{\left(pdg_{0001464} \right)}

0009484724 \( \frac{n \pi}{W}x \)

\frac{n \pi}{W}x

Mul(Symbol('pdg0004037'), Mul(Pow(Symbol('pdg0002523'), Integer(-1)), Mul(Symbol('pdg0001592'), Symbol('pdg0003141'))))

\frac{pdg_{0001592} pdg_{0003141} pdg_{0004037}}{pdg_{0002523}}

0009485857 \( a^2\frac{2}{W} \)

a^2\frac{2}{W}

Mul(Mul(Integer(2), Pow(Symbol('pdg0002523'), Integer(-1))), Pow(Symbol('pdg0009139'), Integer(2)))

\frac{2 pdg_{0009139}^{2}}{pdg_{0002523}}

0009485858 \( \frac{2n\pi}{W} \)

\frac{2n\pi}{W}

Mul(Pow(Symbol('pdg0002523'), Integer(-1)), Mul(Integer(2), Mul(Symbol('pdg0001592'), Symbol('pdg0003141'))))

\frac{2 pdg_{0001592} pdg_{0003141}}{pdg_{0002523}}

0009492929 \( v du \)

v du

Mul(Symbol('pdg0004221'), Symbol('pdg0005177'))

pdg_{0004221} pdg_{0005177}

0009587738 \( \psi \)

\psi

Symbol('pdg0009489')

pdg_{0009489}

0009877781 \( y \)

y

Symbol('pdg0001452')

pdg_{0001452}

1010267783 \( PE \)

PE

Symbol('pdg0000004930')

pdg_{0000004930}

1025759423 \( y \)

y

Symbol('pdg0001452')

pdg_{0001452}

1036530438 \( d_2 \)

d_2

Symbol('pdg0002798')

pdg_{0002798}

1092872200 \( KE_1 \)

KE_1

Symbol('pdg0001955')

pdg_{0001955}

1100332145 \( R \)

R

Symbol('pdg0006458')

pdg_{0006458}

1193980495 \( m_{\rm Earth} \)

m_{\rm Earth}

Symbol('pdg0005458')

pdg_{0005458}

1238593037 \( c \)

c

Symbol('pdg0004567')

pdg_{0004567}

1258245373 \( E \)

E

Symbol('pdg0004931')

pdg_{0004931}

1268845856 \( [A_{\rm adsorption}] \)

[A_{\rm adsorption}]

Symbol('pdg0004940')

pdg_{0004940}

1277713901 \( d \)

d

Symbol('pdg0001943')

pdg_{0001943}

1323602089 \( I_1 \)

I_1

Symbol('pdg0003978')

pdg_{0003978}

1333474099 \( F_{\rm centripetal} \)

F_{\rm centripetal}

Symbol('pdg0001687')

pdg_{0001687}

1377431959 \( R \)

R

Symbol('pdg0006458')

pdg_{0006458}

1413137236 \( m_1 \)

m_1

Symbol('pdg0005022')

pdg_{0005022}

1439089569 \( v_{0, x} \)

v_{0, x}

Symbol('pdg0002958')

pdg_{0002958}

1451839362 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

1484794622 \( R_2 \)

R_2

Symbol('pdg0003461')

pdg_{0003461}

1511199318 \( Z \)

Z

Symbol('pdg0003192')

pdg_{0003192}

1512581563 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

1552869972 \( x_1 \)

x_1

Symbol('pdg0003852')

pdg_{0003852}

1608399874 \( V_2 \)

V_2

Symbol('pdg0008721')

pdg_{0008721}

1614343171 \( dt \)

dt

Symbol('pdg0004711')

pdg_{0004711}

1616666229 \( v_{\rm final} \)

v_{\rm final}

Symbol('pdg0008909')

pdg_{0008909}

1635147226 \( m_2 \)

m_2

Symbol('pdg0004851')

pdg_{0004851}

1716984328 \( i x \)

i x

Mul(Symbol('pdg0004621'), Symbol('pdg0001464'))

pdg_{0001464} pdg_{0004621}

1742775076 \( Z \)

Z

Symbol('pdg0003192')

pdg_{0003192}

1823570358 \( C \)

C

Symbol('pdg0003034')

pdg_{0003034}

1894894315 \( Z \)

Z

Symbol('pdg0003192')

pdg_{0003192}

1934877404 \( KE \)

KE

Symbol('pdg0000004929')

pdg_{0000004929}

1945487024 \( p_A [S] \)

p_A [S]

Mul(Symbol('pdg0009067'), Symbol('pdg0009046'))

pdg_{0009046} pdg_{0009067}

2016063530 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

2064205392 \( A \)

A

Symbol('pdg0004453')

pdg_{0004453}

2081689540 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

2091584724 \( g_{\rm Earth} \)

g_{\rm Earth}

Symbol('pdg0007557')

pdg_{0007557}

2114570475 \( m_{\rm satellite} \)

m_{\rm satellite}

Symbol('pdg0003569')

pdg_{0003569}

2135482543 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

2226340358 \( \gamma v \)

\gamma v

Mul(Symbol('pdg0001790'), Symbol('pdg0001357'))

pdg_{0001357} pdg_{0001790}

2232825726 \( g_{\rm Earth} \)

g_{\rm Earth}

Symbol('pdg0007557')

pdg_{0007557}

2242144313 \( a \)

a

Symbol('pdg0009140')

pdg_{0009140}

2293352649 \( \theta - \phi \)

\theta - \phi

Add(Mul(Integer(-1), Symbol('pdg0008586')), Symbol('pdg0001575'))

pdg_{0001575} - pdg_{0008586}

2344320475 \( E_2 \)

E_2

Symbol('pdg0004550')

pdg_{0004550}

2346150725 \( r \)

r

Symbol('pdg0002530')

pdg_{0002530}

2346952973 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

2396787389 \( r_{\rm Earth} \)

r_{\rm Earth}

Symbol('pdg0003236')

pdg_{0003236}

2397692197 \( a^3 \)

a^3

Pow(Symbol('pdg0005854'), Integer(3))

pdg_{0005854}^{3}

2403773761 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

2510804451 \( 2/g \)

2/g

Mul(Integer(2), Pow(Symbol('pdg0001649'), Integer(-1)))

\frac{2}{pdg_{0001649}}

2660368546 \( r \)

r

Symbol('pdg0002530')

pdg_{0002530}

2674546234 \( m_{\rm Earth} \)

m_{\rm Earth}

Symbol('pdg0005458')

pdg_{0005458}

2685587762 \( \frac{r_{\rm Earth}^2}{G} \)

\frac{r_{\rm Earth}^2}{G}

Mul(Pow(Symbol('pdg0006277'), Integer(-1)), Pow(Symbol('pdg0003236'), Integer(2)))

\frac{pdg_{0003236}^{2}}{pdg_{0006277}}

2698469612 \( V \)

V

Symbol('pdg0006599')

pdg_{0006599}

2754264786 \( 2 \)

2

Integer(2)

2

2764966428 \( m_2 \)

m_2

Symbol('pdg0004851')

pdg_{0004851}

2773628333 \( \theta_1 \)

\theta_1

Symbol('pdg0003509')

pdg_{0003509}

2867848403 \( I \)

I

Symbol('pdg0004501')

pdg_{0004501}

2957211007 \( m^3 kg^{-1} s^{-2} \)

m^3 kg^{-1} s^{-2}

Mul(Pow(meter, Integer(3)), Pow(second, Integer(-2)))

\frac{meter^{3}}{second^{2}}

3031116098 \( R_2 \)

R_2

Symbol('pdg0003461')

pdg_{0003461}

3088463019 \( m_2 \)

m_2

Symbol('pdg0004851')

pdg_{0004851}

3105350101 \( v_1 \)

v_1

Symbol('pdg0002473')

pdg_{0002473}

3166466250 \( m_1 \)

m_1

Symbol('pdg0005022')

pdg_{0005022}

3182907803 \( x_0 \)

x_0

Symbol('pdg0001572')

pdg_{0001572}

3183197515 \( v_1 \)

v_1

Symbol('pdg0002473')

pdg_{0002473}

3219318145 \( \frac{365 {\rm days}}{1 {\rm year}} \frac{24 {\rm hours}}{1 {\rm day}} \frac{60 {\rm minutes}}{1 {\rm hour}} \frac{60 {\rm seconds}}{1 {\rm minute}} \)

\frac{365 {\rm days}}{1 {\rm year}} \frac{24 {\rm hours}}{1 {\rm day}} \frac{60 {\rm minutes}}{1 {\rm hour}} \frac{60 {\rm seconds}}{1 {\rm minute}}

Integer(365)

365

3236313290 \( d \)

d

Symbol('pdg0001943')

pdg_{0001943}

3246378279 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

3268645065 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

3270039798 \( 2 \)

2

Integer(2)

2

3273630811 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

3274176452 \( v_{\rm initial} \)

v_{\rm initial}

Symbol('pdg0001934')

pdg_{0001934}

3342155559 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

3350802342 \( KE_{\rm initial} \)

KE_{\rm initial}

Symbol('pdg0004121')

pdg_{0004121}

3353418803 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

3398368564 \( F \)

F

Symbol('pdg0004202')

pdg_{0004202}

3412946408 \( v^2 \gamma^2 \)

v^2 \gamma^2

Mul(Pow(Symbol('pdg0001790'), Integer(2)), Pow(Symbol('pdg0001357'), Integer(2)))

pdg_{0001357}^{2} pdg_{0001790}^{2}

3433441359 \( V \)

V

Symbol('pdg0006599')

pdg_{0006599}

3448601530 \( \frac{T^2}{r} \)

\frac{T^2}{r}

Mul(Pow(Symbol('pdg0009491'), Integer(2)), Pow(Symbol('pdg0002530'), Integer(-1)))

\frac{pdg_{0009491}^{2}}{pdg_{0002530}}

3486213448 \( m_{\rm satellite} \)

m_{\rm satellite}

Symbol('pdg0003569')

pdg_{0003569}

3495403335 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

3531380618 \( v(r) \)

v(r)

Function('pdg0001357')(Symbol('pdg0002530'))

\operatorname{pdg}_{0001357}{\left(pdg_{0002530} \right)}

3594626260 \( F_{\rm gravity} \)

F_{\rm gravity}

Symbol('pdg0002867')

pdg_{0002867}

3634715785 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

3652511721 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

3663007361 \( 2 \)

2

Integer(2)

2

3685779219 \( \sqrt{f} \approx 2 \)

\sqrt{f} \approx 2

Mul(Pow(Symbol('pdg0006235'), Rational(1, 2)), Mul(Integer(2), Symbol('approx')))

2 approx \sqrt{pdg_{0006235}}

3722461713 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

3723096423 \( 6.3781*10^6 \)

6.3781*10^6

Mul(Float('6.3780999999999999', precision=53), Pow(Integer(10), Integer(6)))

6378100.0

3731774096 \( KE \)

KE

Symbol('pdg0004929')

pdg_{0004929}

3749492596 \( E \)

E

Symbol('pdg0004931')

pdg_{0004931}

3809726424 \( PE \)

PE

Symbol('pdg0004930')

pdg_{0004930}

3846345263 \( T_{\rm orbit} \)

T_{\rm orbit}

Symbol('pdg0008762')

pdg_{0008762}

3876446703 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

3911081515 \( -1 \)

-1

Integer(-1)

-1

3921072591 \( m_1 \)

m_1

Symbol('pdg0005458')

pdg_{0005458}

3939572542 \( KE_{\rm final} \)

KE_{\rm final}

Symbol('pdg0005340')

pdg_{0005340}

3967985562 \( 2 \)

2

Integer(2)

2

4057686137 \( C \)

C

Symbol('pdg0003034')

pdg_{0003034}

4147101187 \( KE \)

KE

Symbol('pdg0004929')

pdg_{0004929}

4153613253 \( m_{\rm Earth} \)

m_{\rm Earth}

Symbol('pdg0005458')

pdg_{0005458}

4162188238 \( t_f \)

t_f

Symbol('pdg0002467')

pdg_{0002467}

4167526462 \( v_{0, y} \)

v_{0, y}

Symbol('pdg0009431')

pdg_{0009431}

4188639044 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

4202292449 \( r_{\rm Earth\ orbit} \)

r_{\rm Earth\ orbit}

Symbol('pdg0006081')

pdg_{0006081}

4213426349 \( E_1 \)

E_1

Symbol('pdg0005579')

pdg_{0005579}

4218009993 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

4319470443 \( v_2 \)

v_2

Symbol('pdg0004770')

pdg_{0004770}

4319544433 \( 1/3 \)

1/3

Pow(Integer(3), Integer(-1))

\frac{1}{3}

4437214608 \( Z \)

Z

Symbol('pdg0003192')

pdg_{0003192}

4470433702 \( t_{\rm Earth\ orbit} \)

t_{\rm Earth\ orbit}

Symbol('pdg0005344')

pdg_{0005344}

4476266504 \( t \)

t

Symbol('pdg0000001467')

pdg_{0000001467}

4522137851 \( PE_2 \)

PE_2

Symbol('pdg0008849')

pdg_{0008849}

4583868070 \( B \)

B

Symbol('pdg0004698')

pdg_{0004698}

4587046017 \( KE \)

KE

Symbol('pdg0004929')

pdg_{0004929}

4651061153 \( m_2 \)

m_2

Symbol('pdg0004851')

pdg_{0004851}

4755369593 \( x_2 \)

x_2

Symbol('pdg0005467')

pdg_{0005467}

4829590294 \( t_f \)

t_f

Symbol('pdg0002467')

pdg_{0002467}

4830480629 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

4901237716 \( 1 \)

1

Integer(1)

1

4935235303 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

4961662865 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

5011888122 \( v_2 \)

v_2

Symbol('pdg0004770')

pdg_{0004770}

5021965469 \( KE \)

KE

Symbol('pdg0004929')

pdg_{0004929}

5050429607 \( G \frac{m_{\rm Earth} m}{r_{\rm Earth}} \)

G \frac{m_{\rm Earth} m}{r_{\rm Earth}}

Mul(Symbol('pdg0006277'), Mul(Pow(Symbol('pdg0003236'), Integer(-1)), Mul(Symbol('pdg0005156'), Symbol('pdg0005458'))))

\frac{pdg_{0005156} pdg_{0005458} pdg_{0006277}}{pdg_{0003236}}

5074423401 \( V \)

V

Symbol('pdg0007586')

pdg_{0007586}

5075406409 \( PE \)

PE

Symbol('pdg0004930')

pdg_{0004930}

5089196493 \( F \)

F

Symbol('pdg0004202')

pdg_{0004202}

5181421075 \( R_1 \)

R_1

Symbol('pdg0008697')

pdg_{0008697}

5194141542 \( x_f \)

x_f

Symbol('pdg0003652')

pdg_{0003652}

5208737840 \( T_{\rm geostationary\ orbit} \)

T_{\rm geostationary\ orbit}

Symbol('pdg0005595')

pdg_{0005595}

5239755033 \( v_1 \)

v_1

Symbol('pdg0002473')

pdg_{0002473}

5258419993 \( R_1 \)

R_1

Symbol('pdg0008697')

pdg_{0008697}

5284610349 \( \gamma^2 \)

\gamma^2

Pow(Symbol('pdg0001790'), Integer(2))

pdg_{0001790}^{2}

5359471792 \( \frac{m_{\rm satellite}}{r} \)

\frac{m_{\rm satellite}}{r}

Mul(Symbol('pdg0003569'), Pow(Symbol('pdg0002530'), Integer(-1)))

\frac{pdg_{0003569}}{pdg_{0002530}}

5398681502 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

5398681503 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

5426418187 \( [A_{\rm adsorption}] \)

[A_{\rm adsorption}]

Symbol('pdg0004940')

pdg_{0004940}

5453995431 \( \arctan{ x } \)

\arctan{ x }

atan(Symbol('pdg0001464'))

\operatorname{atan}{\left(pdg_{0001464} \right)}

5463275819 \( I_2 \)

I_2

Symbol('pdg0004856')

pdg_{0004856}

5516739892 \( -1 \)

-1

Integer(-1)

-1

5542390646 \( 2 a \)

2 a

Mul(Integer(2), Symbol('pdg0009140'))

2 pdg_{0009140}

5585739998 \( I \)

I

Symbol('pdg0004501')

pdg_{0004501}

5591692598 \( KE_1 \)

KE_1

Symbol('pdg0001955')

pdg_{0001955}

5620558729 \( v_0 \)

v_0

Symbol('pdg0005153')

pdg_{0005153}

5623794884 \( A + B \)

A + B

Add(Symbol('pdg0004453'), Symbol('pdg0004698'))

pdg_{0004453} + pdg_{0004698}

5632428182 \( \cos( \theta_{\rm Brewster} ) \)

\cos( \theta_{\rm Brewster} )

cos(Symbol('pdg0004928'))

\cos{\left(pdg_{0004928} \right)}

5667870149 \( \theta \)

\theta

Symbol('pdg0001575')

pdg_{0001575}

5669500954 \( v^2 \gamma^2 \)

v^2 \gamma^2

Mul(Pow(Symbol('pdg0001790'), Integer(2)), Pow(Symbol('pdg0001357'), Integer(2)))

pdg_{0001357}^{2} pdg_{0001790}^{2}

5684907106 \( \frac{1}{d_2 4 \pi^2} \)

\frac{1}{d_2 4 \pi^2}

Pow(Mul(Symbol('pdg0002798'), Mul(Integer(4), Pow(Symbol('pdg0003141'), Integer(2)))), Integer(-1))

\frac{1}{4 pdg_{0002798} pdg_{0003141}^{2}}

5770088141 \( r \)

r

Symbol('pdg0002530')

pdg_{0002530}

5775658332 \( 2 \)

2

Integer(2)

2

5778176146 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

5781435087 \( g \)

g

Symbol('pdg0001649')

pdg_{0001649}

5787469164 \( 1 - \gamma^2 \)

1 - \gamma^2

Add(Integer(1), Mul(Integer(-1), Pow(Symbol('pdg0001790'), Integer(2))))

1 - pdg_{0001790}^{2}

5799753649 \( 2 \)

2

Integer(2)

2

5803210729 \( PE_2 \)

PE_2

Symbol('pdg0008849')

pdg_{0008849}

5846177002 \( t \)

t

Symbol('pdg0000001467')

pdg_{0000001467}

5868731041 \( v_0 \)

v_0

Symbol('pdg0005153')

pdg_{0005153}

5890617067 \( R \)

R

Symbol('pdg0006458')

pdg_{0006458}

5904227750 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

5960438249 \( E_1 \)

E_1

Symbol('pdg0005579')

pdg_{0005579}

6023986360 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

6038673136 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

6050070428 \( v_{0, x} \)

v_{0, x}

Symbol('pdg0002958')

pdg_{0002958}

6098638221 \( y_0 \)

y_0

Symbol('pdg0001469')

pdg_{0001469}

6158970683 \( PE_1 \)

PE_1

Symbol('pdg0004093')

pdg_{0004093}

6238632840 \( r T_{\rm orbit}^2 \)

r T_{\rm orbit}^2

Mul(Pow(Symbol('pdg0008762'), Integer(2)), Symbol('pdg0002530'))

pdg_{0002530} pdg_{0008762}^{2}

6239815585 \( C_{\rm Earth\ orbit} \)

C_{\rm Earth\ orbit}

Symbol('pdg0001534')

pdg_{0001534}

6259833695 \( A \)

A

Symbol('pdg0003285')

pdg_{0003285}

6281834543 \( m_1 \)

m_1

Symbol('pdg0005022')

pdg_{0005022}

6296166842 \( P \)

P

Symbol('pdg0008134')

pdg_{0008134}

6346902704 \( 1 \)

1

Integer(1)

1

6353701615 \( \theta_{\rm refracted} \)

\theta_{\rm refracted}

Symbol('pdg0002243')

pdg_{0002243}

6383056612 \( KE \)

KE

Symbol('pdg0004929')

pdg_{0004929}

6408214498 \( c^2 \)

c^2

Pow(Symbol('pdg0004567'), Integer(2))

pdg_{0004567}^{2}

6410818363 \( \theta \)

\theta

Symbol('pdg0001575')

pdg_{0001575}

6417359412 \( v_0 \)

v_0

Symbol('pdg0005153')

pdg_{0005153}

6463266449 \( t_f \)

t_f

Symbol('pdg0002467')

pdg_{0002467}

6498985149 \( v_{\rm escape} \)

v_{\rm escape}

Symbol('pdg0008656')

pdg_{0008656}

6529120965 \( B \)

B

Symbol('pdg0004698')

pdg_{0004698}

6535639720 \( r_{\rm Earth} \)

r_{\rm Earth}

Symbol('pdg0003236')

pdg_{0003236}

6546594355 \( R_{\rm total} \)

R_{\rm total}

Symbol('pdg0001908')

pdg_{0001908}

6554292307 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

6599829782 \( v_{\rm final} \)

v_{\rm final}

Symbol('pdg0008909')

pdg_{0008909}

6672141531 \( dt \)

dt

Symbol('pdg0004711')

pdg_{0004711}

6681646197 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

6701855578 \( v_2 \)

v_2

Symbol('pdg0004770')

pdg_{0004770}

6729698807 \( v_0 \)

v_0

Symbol('pdg0005153')

pdg_{0005153}

6732786762 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

6749533119 \( PE_1 \)

PE_1

Symbol('pdg0004093')

pdg_{0004093}

6838659900 \( KE_2 \)

KE_2

Symbol('pdg0001352')

pdg_{0001352}

6941869627 \( PE \)

PE

Symbol('pdg0000004930')

pdg_{0000004930}

6951250841 \( 0 \)

0

no 'sympy' key

6964468708 \( KE_1 \)

KE_1

Symbol('pdg0001955')

pdg_{0001955}

6974054946 \( \frac{1}{2} g t_f \)

\frac{1}{2} g t_f

Mul(Pow(Integer(2), Integer(-1)), Mul(Symbol('pdg0001649'), Symbol('pdg0002467')))

\frac{pdg_{0001649} pdg_{0002467}}{2}

6976493023 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

7049769409 \( 2 \)

2

Integer(2)

2

7053449926 \( r_{\rm geostationary\ orbit} \)

r_{\rm geostationary\ orbit}

Symbol('pdg0007110')

pdg_{0007110}

7083390553 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

7140470627 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

7154592211 \( \theta_2 \)

\theta_2

Symbol('pdg0007545')

pdg_{0007545}

7159989263 \( i x \)

i x

Mul(Symbol('pdg0004621'), Symbol('pdg0001464'))

pdg_{0001464} pdg_{0004621}

7191277455 \( R \)

R

Symbol('pdg0006458')

pdg_{0006458}

7194432406 \( r_{\rm Schwarzschild} \)

r_{\rm Schwarzschild}

Symbol('pdg0004518')

pdg_{0004518}

7214442790 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

7263534144 \( c^2 \)

c^2

Pow(Symbol('pdg0004567'), Integer(2))

pdg_{0004567}^{2}

7321695558 \( \theta_{\rm Brewster} \)

\theta_{\rm Brewster}

Symbol('pdg0004928')

pdg_{0004928}

7326066466 \( G \)

G

Symbol('pdg0006277')

pdg_{0006277}

7337056406 \( \gamma^2 x \)

\gamma^2 x

Mul(Pow(Symbol('pdg0001790'), Integer(2)), Symbol('pdg0004037'))

pdg_{0001790}^{2} pdg_{0004037}

7375348852 \( \theta_{\rm Brewster} \)

\theta_{\rm Brewster}

Symbol('pdg0004928')

pdg_{0004928}

7408927653 \( KE \)

KE

Symbol('pdg0000004929')

pdg_{0000004929}

7410124465 \( R_{\rm total} \)

R_{\rm total}

Symbol('pdg0001908')

pdg_{0001908}

7410526982 \( 2/m_1 \)

2/m_1

Mul(Integer(2), Pow(Symbol('pdg0005022'), Integer(-1)))

\frac{2}{pdg_{0005022}}

7445388869 \( -1 \)

-1

Integer(-1)

-1

7453225570 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

7473576008 \( \frac{-1}{A \cos(\omega t)} \)

\frac{-1}{A \cos(\omega t)}

Symbol('pdg0001467')

pdg_{0001467}

7476820482 \( C \)

C

Symbol('pdg0003034')

pdg_{0003034}

7497687256 \( V \)

V

Symbol('pdg0006599')

pdg_{0006599}

7556442438 \( 4 \pi^2 \)

4 \pi^2

Mul(Integer(4), Pow(Symbol('pdg0003141'), Integer(2)))

4 pdg_{0003141}^{2}

7560908617 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

7564010952 \( -1 \)

-1

Integer(-1)

-1

7587034465 \( \theta \)

\theta

Symbol('pdg0001575')

pdg_{0001575}

7630953440 \( \frac{K_{\rm equilibrium} p_A}{K_{\rm equilibrium} p_A} \)

\frac{K_{\rm equilibrium} p_A}{K_{\rm equilibrium} p_A}

Mul(Pow(Mul(Symbol('pdg0004933'), Symbol('pdg0009046')), Integer(-1)), Mul(Symbol('pdg0004933'), Symbol('pdg0009046')))

1

7708501762 \( C_{\rm Earth\ orbit} \)

C_{\rm Earth\ orbit}

Symbol('pdg0001534')

pdg_{0001534}

7743841045 \( \gamma^2 \)

\gamma^2

Pow(Symbol('pdg0001790'), Integer(2))

pdg_{0001790}^{2}

7774819339 \( R \)

R

Symbol('pdg0006458')

pdg_{0006458}

7798615279 \( I_{\rm total} \)

I_{\rm total}

Symbol('pdg0009647')

pdg_{0009647}

7816982139 \( m/s^2 \)

m/s^2

Pow(Mul(Pow(second, Integer(-1)),meter), Integer(2))

\frac{meter^{2}}{second^{2}}

7819443873 \( r \)

r

Symbol('pdg0002530')

pdg_{0002530}

7844317489 \( I \)

I

Symbol('pdg0004501')

pdg_{0004501}

7857757625 \( n_1 \)

n_1

Symbol('pdg0002941')

pdg_{0002941}

7905984866 \( m_1 \)

m_1

Symbol('pdg0005022')

pdg_{0005022}

7912578203 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

7924842770 \( T \)

T

Symbol('pdg0007343')

pdg_{0007343}

7935917166 \( r_{\rm Earth} \)

r_{\rm Earth}

Symbol('pdg0003236')

pdg_{0003236}

7939947931 \( KE_2 \)

KE_2

Symbol('pdg0001352')

pdg_{0001352}

8014566709 \( \gamma^2 v t \)

\gamma^2 v t

Mul(Pow(Symbol('pdg0001790'), Integer(2)), Mul(Symbol('pdg0001467'), Symbol('pdg0001357')))

pdg_{0001357} pdg_{0001467} pdg_{0001790}^{2}

8020058613 \( r \)

r

Symbol('pdg0002530')

pdg_{0002530}

8044416349 \( d_2 \)

d_2

Symbol('pdg0002798')

pdg_{0002798}

8061701434 \( PE_1 \)

PE_1

Symbol('pdg0004093')

pdg_{0004093}

8066819515 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

8072682558 \( x_0 \)

x_0

Symbol('pdg0001572')

pdg_{0001572}

8111389082 \( x \)

x

Symbol('pdg0004037')

pdg_{0004037}

8120663858 \( y_f \)

y_f

Symbol('pdg0007092')

pdg_{0007092}

8122039815 \( \frac{d_1+d_2}{d_1+d_2} \)

\frac{d_1+d_2}{d_1+d_2}

Mul(Pow(Add(Symbol('pdg0007652'), Symbol('pdg0002798')), Integer(-1)), Add(Symbol('pdg0007652'), Symbol('pdg0002798')))

1

8135396036 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

8162179726 \( k_{\rm adsorption} p_A \)

k_{\rm adsorption} p_A

Mul(Symbol('pdg0006850'), Symbol('pdg0009046'))

pdg_{0006850} pdg_{0009046}

8173074178 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

8362338572 \( v_{\rm escape} \)

v_{\rm escape}

Symbol('pdg0008656')

pdg_{0008656}

8406170337 \( y \)

y

Symbol('pdg0005647')

pdg_{0005647}

8416464049 \( KE_{\rm escape} \)

KE_{\rm escape}

Symbol('pdg0005332')

pdg_{0005332}

8571466509 \( c^2 - \gamma^2 \)

c^2 - \gamma^2

Add(Pow(Symbol('pdg0004567'), Integer(2)), Mul(Integer(-1), Pow(Symbol('pdg0001790'), Integer(2))))

- pdg_{0001790}^{2} + pdg_{0004567}^{2}

8607458157 \( dt \)

dt

Symbol('pdg0004711')

pdg_{0004711}

8642992037 \( 2 \)

2

Integer(2)

2

8710504862 \( A \)

A

Symbol('pdg0004453')

pdg_{0004453}

8717193282 \( dt \)

dt

Symbol('pdg0004711')

pdg_{0004711}

8854422847 \( dT \)

dT

Symbol('pdg0007343')

pdg_{0007343}

8857931498 \( c \)

c

Symbol('pdg0004567')

pdg_{0004567}

8865085668 \( t \)

t

Symbol('pdg0001467')

pdg_{0001467}

8871333437 \( PE_{\rm Earth\ surface} \)

PE_{\rm Earth\ surface}

Symbol('pdg0006431')

pdg_{0006431}

8880467139 \( 2 \)

2

Integer(2)

2

8916428651 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

9025853427 \( \theta_{\rm Brewster} \)

\theta_{\rm Brewster}

Symbol('pdg0004928')

pdg_{0004928}

9029795851 \( \theta_{\rm Brewster} \)

\theta_{\rm Brewster}

Symbol('pdg0004928')

pdg_{0004928}

9040079362 \( f \)

f

Symbol('pdg0004201')

pdg_{0004201}

9053099840 \( I \)

I

Symbol('pdg0004501')

pdg_{0004501}

9070454719 \( v_0^2 \)

v_0^2

Pow(Symbol('pdg0005153'), Integer(2))

pdg_{0005153}^{2}

9072369552 \( m_{\rm Earth} \)

m_{\rm Earth}

Symbol('pdg0005458')

pdg_{0005458}

9110536742 \( 2 x \)

2 x

Mul(Integer(2), Symbol('pdg0001464'))

2 pdg_{0001464}

9174439158 \( R_1 \)

R_1

Symbol('pdg0008697')

pdg_{0008697}

9305761407 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

9306496484 \( C \)

C

Symbol('pdg0000003034')

pdg_{0000003034}

9346215480 \( T_{\rm orbit} \)

T_{\rm orbit}

Symbol('pdg0008762')

pdg_{0008762}

9350663581 \( \pi \)

\pi

Symbol('pdg0003141')

pdg_{0003141}

9350720370 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

9355039511 \( g \)

g

Symbol('pdg0001649')

pdg_{0001649}

9370882921 \( KE_{\rm escape} \)

KE_{\rm escape}

Symbol('pdg0005332')

pdg_{0005332}

9524810853 \( \frac{1/d_2}{1/d_2} \)

\frac{1/d_2}{1/d_2}

Mul(Mul(Integer(1), Pow(Symbol('pdg0002798'), Integer(-1))), Pow(Mul(Integer(1), Pow(Symbol('pdg0002798'), Integer(-1))), Integer(-1)))

1

9565166889 \( T \)

T

Symbol('pdg0009491')

pdg_{0009491}

9590696981 \( 9.80665 \)

9.80665

Float('9.8066499999999994', precision=53)

9.80665

9594072504 \( m_2 \)

m_2

Symbol('pdg0004851')

pdg_{0004851}

9601500174 \( v_{\rm Earth\ orbit} \)

v_{\rm Earth\ orbit}

Symbol('pdg0007427')

pdg_{0007427}

9623791270 \( d \)

d

Symbol('pdg0004037')

pdg_{0004037}

9645178657 \( a t \)

a t

Mul(Symbol('pdg0009140'), Symbol('pdg0001467'))

pdg_{0001467} pdg_{0009140}

9674924517 \( K >> G \)

K >> G

StrictGreaterThan(Symbol('pdg0001466'), Symbol('pdg0003033'))

pdg_{0001466} > pdg_{0003033}

9746066299 \( R_2 \)

R_2

Symbol('pdg0003461')

pdg_{0003461}

9753878784 \( v \)

v

Symbol('pdg0001357')

pdg_{0001357}

9761485403 \( Z \)

Z

Symbol('pdg0003192')

pdg_{0003192}

9789485295 \( v_{\rm satellite} \)

v_{\rm satellite}

Symbol('pdg0004082')

pdg_{0004082}

9794128647 \( m_1 \)

m_1

Symbol('pdg0005458')

pdg_{0005458}

9830343096 \( V_1 \)

V_1

Symbol('pdg0008257')

pdg_{0008257}

9881106100 \( a \)

a

Symbol('pdg0009140')

pdg_{0009140}

9884115626 \( r \)

r

Symbol('pdg0002530')

pdg_{0002530}

9885190237 \( i \)

i

Symbol('pdg0004621')

pdg_{0004621}

9903988330 \( m \)

m

Symbol('pdg0005156')

pdg_{0005156}

9906920183 \( x \)

x

Symbol('pdg0001464')

pdg_{0001464}

9933742680 \( r_{\rm Schwarzschild} \)

r_{\rm Schwarzschild}

Symbol('pdg0004518')

pdg_{0004518}

9956609318 \( 6.67430*10^{-11} \)

6.67430*10^{-11}

Mul(Float('6.6742999999999997', precision=53), Pow(Integer(10), Mul(Integer(-1), Integer(11))))

6.6743 \cdot 10^{-11}

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