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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
TODO

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

pdg_{0009139}^{2}

0000999900 \(b/(2 a)\)
b/(2 a)
TODO

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

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

0001030901 \(\cos(x)\)
\cos(x)
TODO

cos(Symbol('pdg0001464'))

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

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

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

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

0001209482 \(2 \pi\)
2 \pi
TODO

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

2 pdg_{0003141}

0001304952 \(\hbar\)
\hbar
TODO

Symbol('pdg0001054')

pdg_{0001054}

0001334112 \(W\)
W
TODO

Symbol('pdg0002523')

pdg_{0002523}

0001921933 \(2 i\)
2 i
TODO

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

2 pdg_{0004621}

0002239424 \(2\)
2
TODO

Integer(2)

2

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

Symbol('pdg0002097')

pdg_{0002097}

0002342425 \(m/m\)
m/m
TODO

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

1

0002393922 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

0002424922 \(a\)
a
TODO

Symbol('pdg0009139')

pdg_{0009139}

0002436656 \(i \hbar\)
i \hbar
TODO

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

pdg_{0001054} pdg_{0004621}

0002449291 \(b/(2 a)\)
b/(2 a)
TODO

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

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

0002838490 \(b/(2 a)\)
b/(2 a)
TODO

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

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

0002919191 \(\sin(-x)\)
\sin(-x)
TODO

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

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

0002929944 \(1/2\)
1/2
TODO

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

\frac{1}{2}

0002940021 \(2 \pi\)
2 \pi
TODO

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

2 pdg_{0003141}

0003232242 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

0003413423 \(\cos(-x)\)
\cos(-x)
TODO

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

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

0003747849 \(-1\)
-1
TODO

Integer(-1)

-1

0003838111 \(2\)
2
TODO

Integer(2)

2

0003919391 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

0003949052 \(-x\)
-x
TODO

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

- pdg_{0001464}

0003949921 \(\hbar\)
\hbar
TODO

Symbol('pdg0001054')

pdg_{0001054}

0003954314 \(dx\)
dx
TODO

Symbol('pdg0009199')

pdg_{0009199}

0003981813 \(-\sin(x)\)
-\sin(x)
TODO

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

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

0004089571 \(2 x\)
2 x
TODO

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

2 pdg_{0001464}

0004264724 \(y\)
y
TODO

Symbol('pdg0001452')

pdg_{0001452}

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

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
TODO

Symbol('pdg0001464')

pdg_{0001464}

0004829194 \(2\)
2
TODO

Integer(2)

2

0004831494 \(a\)
a
TODO

Symbol('pdg0009139')

pdg_{0009139}

0004849392 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

0004858592 \(h\)
h
TODO

Symbol('pdg0003410')

pdg_{0003410}

0004934845 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

0004948585 \(a\)
a
TODO

Symbol('pdg0009139')

pdg_{0009139}

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

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

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

0005626421 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

0005749291 \(f\)
f
TODO

Symbol('pdg0006235')

pdg_{0006235}

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

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
TODO

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

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

0006544644 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

0006563727 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

0006644853 \(c/a\)
c/a
TODO

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

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

0006656532 \(e\)
e
TODO

Symbol('pdg0002718')

pdg_{0002718}

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

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

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

0007563791 \(i\)
i
TODO

Symbol('pdg0004621')

pdg_{0004621}

0007636749 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

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

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

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

0008837284 \(T\)
T
TODO

Symbol('pdg0009491')

pdg_{0009491}

0008842811 \(\cos(2 x)\)
\cos(2 x)
TODO

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

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

0009458842 \(\psi(x)\)
\psi(x)
TODO

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

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

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

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}
TODO

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}
TODO

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
TODO

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

pdg_{0004221} pdg_{0005177}

0009587738 \(\psi\)
\psi
TODO

Symbol('pdg0009489')

pdg_{0009489}

0009877781 \(y\)
y
TODO

Symbol('pdg0001452')

pdg_{0001452}

1025759423 \(y\)
y
TODO

Symbol('pdg0001452')

pdg_{0001452}

1036530438 \(d_2\)
d_2
TODO

Symbol('pdg0002798')

pdg_{0002798}

1092872200 \(KE_1\)
KE_1
TODO

Symbol('pdg0001955')

pdg_{0001955}

1100332145 \(R\)
R
TODO

Symbol('pdg0006458')

pdg_{0006458}

1193980495 \(m_{\rm Earth}\)
m_{\rm Earth}
TODO

Symbol('pdg0005458')

pdg_{0005458}

1238593037 \(c\)
c
TODO

Symbol('pdg0004567')

pdg_{0004567}

1258245373 \(E\)
E
TODO

Symbol('pdg0004931')

pdg_{0004931}

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

Symbol('pdg0004940')

pdg_{0004940}

1277713901 \(d\)
d
TODO

Symbol('pdg0001943')

pdg_{0001943}

1323602089 \(I_1\)
I_1
TODO

Symbol('pdg0003978')

pdg_{0003978}

1333474099 \(F_{\rm centripetal}\)
F_{\rm centripetal}
TODO

Symbol('pdg0001687')

pdg_{0001687}

1377431959 \(R\)
R
TODO

Symbol('pdg0006458')

pdg_{0006458}

1413137236 \(m_1\)
m_1
TODO

Symbol('pdg0005022')

pdg_{0005022}

1439089569 \(v_{0, x}\)
v_{0, x}
TODO

Symbol('pdg0002958')

pdg_{0002958}

1451839362 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

1484794622 \(R_2\)
R_2
TODO

Symbol('pdg0003461')

pdg_{0003461}

1511199318 \(Z\)
Z
TODO

Symbol('pdg0003192')

pdg_{0003192}

1512581563 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

1552869972 \(x_1\)
x_1
TODO

Symbol('pdg0003852')

pdg_{0003852}

1571582377 \(F_{gravitational} \propto \frac{1}{r^2}\)
F_{gravitational} \propto \frac{1}{r^2}
TODO

Equality(Symbol('pdg0002867'), Mul(Symbol('k'), Pow(Pow(Symbol('pdg0002530'), Integer(2)), Integer(-1))))

pdg_{0002867} = \frac{k}{pdg_{0002530}^{2}}

1608399874 \(V_2\)
V_2
TODO

Symbol('pdg0008721')

pdg_{0008721}

1614343171 \(dt\)
dt
TODO

Symbol('pdg0004711')

pdg_{0004711}

1616666229 \(v_{\rm final}\)
v_{\rm final}
TODO

Symbol('pdg0008909')

pdg_{0008909}

1635147226 \(m_2\)
m_2
TODO

Symbol('pdg0004851')

pdg_{0004851}

1716984328 \(i x\)
i x
TODO

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

pdg_{0001464} pdg_{0004621}

1742775076 \(Z\)
Z
TODO

Symbol('pdg0003192')

pdg_{0003192}

1823570358 \(C\)
C
TODO

Symbol('pdg0003034')

pdg_{0003034}

1848400430 \(F \propto m\)
F \propto m
TODO

Mul(Symbol('F'), Mul(Symbol('pdg0005156'), Symbol('propto')))

F pdg_{0005156} propto

1894894315 \(Z\)
Z
TODO

Symbol('pdg0003192')

pdg_{0003192}

1945487024 \(p_A [S]\)
p_A [S]
TODO

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

pdg_{0009046} pdg_{0009067}

2016063530 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

2064205392 \(A\)
A
TODO

Symbol('pdg0004453')

pdg_{0004453}

2081689540 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

2091584724 \(g_{\rm Earth}\)
g_{\rm Earth}
TODO

Symbol('pdg0007557')

pdg_{0007557}

2114570475 \(m_{\rm satellite}\)
m_{\rm satellite}
TODO

Symbol('pdg0003569')

pdg_{0003569}

2135482543 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

2226340358 \(\gamma v\)
\gamma v
TODO

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

pdg_{0001357} pdg_{0001790}

2232825726 \(g_{\rm Earth}\)
g_{\rm Earth}
TODO

Symbol('pdg0007557')

pdg_{0007557}

2242144313 \(a\)
a
TODO

Symbol('pdg0009140')

pdg_{0009140}

2293352649 \(\theta - \phi\)
\theta - \phi
TODO

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

pdg_{0001575} - pdg_{0008586}

2344320475 \(E_2\)
E_2
TODO

Symbol('pdg0004550')

pdg_{0004550}

2346150725 \(r\)
r
TODO

Symbol('pdg0002530')

pdg_{0002530}

2346952973 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

2396787389 \(r_{\rm Earth}\)
r_{\rm Earth}
TODO

Symbol('pdg0003236')

pdg_{0003236}

2397692197 \(a^3\)
a^3
TODO

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

pdg_{0005854}^{3}

2403773761 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

2510804451 \(2/g\)
2/g
TODO

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

\frac{2}{pdg_{0001649}}

2660368546 \(r\)
r
TODO

Symbol('pdg0002530')

pdg_{0002530}

2674546234 \(m_{\rm Earth}\)
m_{\rm Earth}
TODO

Symbol('pdg0005458')

pdg_{0005458}

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

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

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

2698469612 \(V\)
V
TODO

Symbol('pdg0006599')

pdg_{0006599}

2754264786 \(2\)
2
TODO

Integer(2)

2

2764966428 \(m_2\)
m_2
TODO

Symbol('pdg0004851')

pdg_{0004851}

2773628333 \(\theta_1\)
\theta_1
TODO

Symbol('pdg0003509')

pdg_{0003509}

2867848403 \(I\)
I
TODO

Symbol('pdg0004501')

pdg_{0004501}

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

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

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

3031116098 \(R_2\)
R_2
TODO

Symbol('pdg0003461')

pdg_{0003461}

3041762466 \(i\)
i
TODO

Symbol('pdg0004621')

pdg_{0004621}

3088463019 \(m_2\)
m_2
TODO

Symbol('pdg0004851')

pdg_{0004851}

3105350101 \(v_1\)
v_1
TODO

Symbol('pdg0002473')

pdg_{0002473}

3166466250 \(m_1\)
m_1
TODO

Symbol('pdg0005022')

pdg_{0005022}

3182907803 \(x_0\)
x_0
TODO

Symbol('pdg0001572')

pdg_{0001572}

3183197515 \(v_1\)
v_1
TODO

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}}
TODO

Integer(365)

365

3236313290 \(d\)
d
TODO

Symbol('pdg0001943')

pdg_{0001943}

3246378279 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

3268645065 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

3270039798 \(2\)
2
TODO

Integer(2)

2

3273630811 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

3274176452 \(v_{\rm initial}\)
v_{\rm initial}
TODO

Symbol('pdg0001934')

pdg_{0001934}

3342155559 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

3350802342 \(KE_{\rm initial}\)
KE_{\rm initial}
TODO

Symbol('pdg0004121')

pdg_{0004121}

3353418803 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

3398368564 \(F\)
F
TODO

Symbol('pdg0004202')

pdg_{0004202}

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

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

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

3433441359 \(V\)
V
TODO

Symbol('pdg0006599')

pdg_{0006599}

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

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

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

3486213448 \(m_{\rm satellite}\)
m_{\rm satellite}
TODO

Symbol('pdg0003569')

pdg_{0003569}

3495403335 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

3531380618 \(v(r)\)
v(r)
TODO

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

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

3594626260 \(F_{\rm gravity}\)
F_{\rm gravity}
TODO

Symbol('pdg0002867')

pdg_{0002867}

3634715785 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

3650814381 \(F_{gravitational} \propto \frac{m_1 m_2}{r^2}\)
F_{gravitational} \propto \frac{m_1 m_2}{r^2}
TODO

Mul(Symbol('pdg0002867'), Mul(Symbol('propto'), Mul(Mul(Symbol('pdg0005022'), Symbol('pdg0004851')), Pow(Pow(Symbol('pdg0002530'), Integer(2)), Integer(-1)))))

\frac{pdg_{0002867} pdg_{0004851} pdg_{0005022} propto}{pdg_{0002530}^{2}}

3652511721 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

3663007361 \(2\)
2
TODO

Integer(2)

2

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

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

2 approx \sqrt{pdg_{0006235}}

3722461713 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

3723096423 \(6.3781*10^6\)
6.3781*10^6
TODO

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

6378100.0

3731774096 \(KE\)
KE
TODO

Symbol('pdg0004929')

pdg_{0004929}

3749492596 \(E\)
E
TODO

Symbol('pdg0004931')

pdg_{0004931}

3809726424 \(PE\)
PE
TODO

Symbol('pdg0004930')

pdg_{0004930}

3846345263 \(T_{\rm orbit}\)
T_{\rm orbit}
TODO

Symbol('pdg0008762')

pdg_{0008762}

3876446703 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

3911081515 \(-1\)
-1
TODO

Integer(-1)

-1

3921072591 \(m_1\)
m_1
TODO

Symbol('pdg0005458')

pdg_{0005458}

3939572542 \(KE_{\rm final}\)
KE_{\rm final}
TODO

Symbol('pdg0005340')

pdg_{0005340}

3967985562 \(2\)
2
TODO

Integer(2)

2

4057686137 \(C\)
C
TODO

Symbol('pdg0003034')

pdg_{0003034}

4147101187 \(KE\)
KE
TODO

Symbol('pdg0004929')

pdg_{0004929}

4153613253 \(m_{\rm Earth}\)
m_{\rm Earth}
TODO

Symbol('pdg0005458')

pdg_{0005458}

4162188238 \(t_f\)
t_f
TODO

Symbol('pdg0002467')

pdg_{0002467}

4167526462 \(v_{0, y}\)
v_{0, y}
TODO

Symbol('pdg0009431')

pdg_{0009431}

4188639044 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

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

Symbol('pdg0006081')

pdg_{0006081}

4213426349 \(E_1\)
E_1
TODO

Symbol('pdg0005579')

pdg_{0005579}

4218009993 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

4264859781 \(F \propto m_1\)
F \propto m_1
TODO

Mul(Symbol('F'), Mul(Symbol('pdg0005022'), Symbol('propto')))

F pdg_{0005022} propto

4319470443 \(v_2\)
v_2
TODO

Symbol('pdg0004770')

pdg_{0004770}

4319544433 \(1/3\)
1/3
TODO

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

\frac{1}{3}

4437214608 \(Z\)
Z
TODO

Symbol('pdg0003192')

pdg_{0003192}

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

Symbol('pdg0005344')

pdg_{0005344}

4490788873 \(F \propto m_2\)
F \propto m_2
TODO

Mul(Symbol('F'), Mul(Symbol('pdg0004851'), Symbol('propto')))

F pdg_{0004851} propto

4522137851 \(PE_2\)
PE_2
TODO

Symbol('pdg0008849')

pdg_{0008849}

4583868070 \(B\)
B
TODO

Symbol('pdg0004698')

pdg_{0004698}

4587046017 \(KE\)
KE
TODO

Symbol('pdg0004929')

pdg_{0004929}

4651061153 \(m_2\)
m_2
TODO

Symbol('pdg0004851')

pdg_{0004851}

4755369593 \(x_2\)
x_2
TODO

Symbol('pdg0005467')

pdg_{0005467}

4829590294 \(t_f\)
t_f
TODO

Symbol('pdg0002467')

pdg_{0002467}

4830480629 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

4901237716 \(1\)
1
TODO

Integer(1)

1

4935235303 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

4961662865 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

5011888122 \(v_2\)
v_2
TODO

Symbol('pdg0004770')

pdg_{0004770}

5021965469 \(KE\)
KE
TODO

Symbol('pdg0004929')

pdg_{0004929}

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

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
TODO

Symbol('pdg0007586')

pdg_{0007586}

5075406409 \(PE\)
PE
TODO

Symbol('pdg0004930')

pdg_{0004930}

5089196493 \(F\)
F
TODO

Symbol('pdg0004202')

pdg_{0004202}

5181421075 \(R_1\)
R_1
TODO

Symbol('pdg0008697')

pdg_{0008697}

5194141542 \(x_f\)
x_f
TODO

Symbol('pdg0003652')

pdg_{0003652}

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

Symbol('pdg0005595')

pdg_{0005595}

5239755033 \(v_1\)
v_1
TODO

Symbol('pdg0002473')

pdg_{0002473}

5258419993 \(R_1\)
R_1
TODO

Symbol('pdg0008697')

pdg_{0008697}

5284610349 \(\gamma^2\)
\gamma^2
TODO

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

pdg_{0001790}^{2}

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

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

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

5398681502 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

5398681503 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

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

Symbol('pdg0004940')

pdg_{0004940}

5453995431 \(\arctan{ x }\)
\arctan{ x }
TODO

atan(Symbol('pdg0001464'))

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

5463275819 \(I_2\)
I_2
TODO

Symbol('pdg0004856')

pdg_{0004856}

5516739892 \(-1\)
-1
TODO

Integer(-1)

-1

5542390646 \(2 a\)
2 a
TODO

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

2 pdg_{0009140}

5585739998 \(I\)
I
TODO

Symbol('pdg0004501')

pdg_{0004501}

5591692598 \(KE_1\)
KE_1
TODO

Symbol('pdg0001955')

pdg_{0001955}

5620558729 \(v_0\)
v_0
TODO

Symbol('pdg0005153')

pdg_{0005153}

5623794884 \(A + B\)
A + B
TODO

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

pdg_{0004453} + pdg_{0004698}

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

cos(Symbol('pdg0004928'))

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

5667870149 \(\theta\)
\theta
TODO

Symbol('pdg0001575')

pdg_{0001575}

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

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}
TODO

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
TODO

Symbol('pdg0002530')

pdg_{0002530}

5775658332 \(2\)
2
TODO

Integer(2)

2

5778176146 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

5781435087 \(g\)
g
TODO

Symbol('pdg0001649')

pdg_{0001649}

5787469164 \(1 - \gamma^2\)
1 - \gamma^2
TODO

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

1 - pdg_{0001790}^{2}

5799753649 \(2\)
2
TODO

Integer(2)

2

5803210729 \(PE_2\)
PE_2
TODO

Symbol('pdg0008849')

pdg_{0008849}

5846177002 \(t\)
t
TODO

Symbol('t')

t

5868731041 \(v_0\)
v_0
TODO

Symbol('pdg0005153')

pdg_{0005153}

5890617067 \(R\)
R
TODO

Symbol('pdg0006458')

pdg_{0006458}

5904227750 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

5960438249 \(E_1\)
E_1
TODO

Symbol('pdg0005579')

pdg_{0005579}

6023986360 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

6038673136 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

6050070428 \(v_{0, x}\)
v_{0, x}
TODO

Symbol('pdg0002958')

pdg_{0002958}

6098638221 \(y_0\)
y_0
TODO

Symbol('pdg0001469')

pdg_{0001469}

6158970683 \(PE_1\)
PE_1
TODO

Symbol('pdg0004093')

pdg_{0004093}

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

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

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

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

Symbol('pdg0001534')

pdg_{0001534}

6259833695 \(A\)
A
TODO

Symbol('pdg0003285')

pdg_{0003285}

6281834543 \(m_1\)
m_1
TODO

Symbol('pdg0005022')

pdg_{0005022}

6296166842 \(P\)
P
TODO

Symbol('pdg0008134')

pdg_{0008134}

6346902704 \(1\)
1
TODO

Integer(1)

1

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

Symbol('pdg0002243')

pdg_{0002243}

6383056612 \(KE\)
KE
TODO

Symbol('pdg0004929')

pdg_{0004929}

6408214498 \(c^2\)
c^2
TODO

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

pdg_{0004567}^{2}

6410818363 \(\theta\)
\theta
TODO

Symbol('pdg0001575')

pdg_{0001575}

6417359412 \(v_0\)
v_0
TODO

Symbol('pdg0005153')

pdg_{0005153}

6463266449 \(t_f\)
t_f
TODO

Symbol('pdg0002467')

pdg_{0002467}

6498985149 \(v_{\rm escape}\)
v_{\rm escape}
TODO

Symbol('pdg0008656')

pdg_{0008656}

6529120965 \(B\)
B
TODO

Symbol('pdg0004698')

pdg_{0004698}

6535639720 \(r_{\rm Earth}\)
r_{\rm Earth}
TODO

Symbol('pdg0003236')

pdg_{0003236}

6546594355 \(R_{\rm total}\)
R_{\rm total}
TODO

Symbol('pdg0001908')

pdg_{0001908}

6554292307 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

6599829782 \(v_{\rm final}\)
v_{\rm final}
TODO

Symbol('pdg0008909')

pdg_{0008909}

6672141531 \(dt\)
dt
TODO

Symbol('pdg0004711')

pdg_{0004711}

6681646197 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

6701855578 \(v_2\)
v_2
TODO

Symbol('pdg0004770')

pdg_{0004770}

6729698807 \(v_0\)
v_0
TODO

Symbol('pdg0005153')

pdg_{0005153}

6732786762 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

6749533119 \(PE_1\)
PE_1
TODO

Symbol('pdg0004093')

pdg_{0004093}

6838659900 \(KE_2\)
KE_2
TODO

Symbol('pdg0001352')

pdg_{0001352}

6964468708 \(KE_1\)
KE_1
TODO

Symbol('pdg0001955')

pdg_{0001955}

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

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

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

6976493023 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

7049769409 \(2\)
2
TODO

Integer(2)

2

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

Symbol('pdg0007110')

pdg_{0007110}

7083390553 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

7140470627 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

7154592211 \(\theta_2\)
\theta_2
TODO

Symbol('pdg0007545')

pdg_{0007545}

7159989263 \(i x\)
i x
TODO

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

pdg_{0001464} pdg_{0004621}

7191277455 \(R\)
R
TODO

Symbol('pdg0006458')

pdg_{0006458}

7194432406 \(r_{\rm Schwarzschild}\)
r_{\rm Schwarzschild}
TODO

Symbol('pdg0004518')

pdg_{0004518}

7214442790 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

7263534144 \(c^2\)
c^2
TODO

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

pdg_{0004567}^{2}

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

Symbol('pdg0004928')

pdg_{0004928}

7326066466 \(G\)
G
TODO

Symbol('pdg0006277')

pdg_{0006277}

7337056406 \(\gamma^2 x\)
\gamma^2 x
TODO

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

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

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

Symbol('pdg0004928')

pdg_{0004928}

7410124465 \(R_{\rm total}\)
R_{\rm total}
TODO

Symbol('pdg0001908')

pdg_{0001908}

7410526982 \(2/m_1\)
2/m_1
TODO

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

\frac{2}{pdg_{0005022}}

7445388869 \(-1\)
-1
TODO

Integer(-1)

-1

7453225570 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

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

Symbol('pdg0001467')

pdg_{0001467}

7476820482 \(C\)
C
TODO

Symbol('pdg0003034')

pdg_{0003034}

7497687256 \(V\)
V
TODO

Symbol('pdg0006599')

pdg_{0006599}

7556442438 \(4 \pi^2\)
4 \pi^2
TODO

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

4 pdg_{0003141}^{2}

7560908617 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

7564010952 \(-1\)
-1
TODO

Integer(-1)

-1

7587034465 \(\theta\)
\theta
TODO

Symbol('pdg0001575')

pdg_{0001575}

7607271250 \(\theta\)
\theta
TODO

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}
TODO

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

1

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

Symbol('pdg0001534')

pdg_{0001534}

7743841045 \(\gamma^2\)
\gamma^2
TODO

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

pdg_{0001790}^{2}

7774819339 \(R\)
R
TODO

Symbol('pdg0006458')

pdg_{0006458}

7798615279 \(I_{\rm total}\)
I_{\rm total}
TODO

Symbol('pdg0009647')

pdg_{0009647}

7816982139 \(m/s^2\)
m/s^2
TODO

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

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

7819443873 \(r\)
r
TODO

Symbol('pdg0002530')

pdg_{0002530}

7844317489 \(I\)
I
TODO

Symbol('pdg0004501')

pdg_{0004501}

7857757625 \(n_1\)
n_1
TODO

Symbol('pdg0002941')

pdg_{0002941}

7905984866 \(m_1\)
m_1
TODO

Symbol('pdg0005022')

pdg_{0005022}

7912578203 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

7924842770 \(T\)
T
TODO

Symbol('pdg0007343')

pdg_{0007343}

7935917166 \(r_{\rm Earth}\)
r_{\rm Earth}
TODO

Symbol('pdg0003236')

pdg_{0003236}

7939947931 \(KE_2\)
KE_2
TODO

Symbol('pdg0001352')

pdg_{0001352}

8014566709 \(\gamma^2 v t\)
\gamma^2 v t
TODO

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

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

8020058613 \(r\)
r
TODO

Symbol('pdg0002530')

pdg_{0002530}

8044416349 \(d_2\)
d_2
TODO

Symbol('pdg0002798')

pdg_{0002798}

8061701434 \(PE_1\)
PE_1
TODO

Symbol('pdg0004093')

pdg_{0004093}

8066819515 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

8072682558 \(x_0\)
x_0
TODO

Symbol('pdg0001572')

pdg_{0001572}

8111389082 \(x\)
x
TODO

Symbol('pdg0004037')

pdg_{0004037}

8120663858 \(y_f\)
y_f
TODO

Symbol('pdg0007092')

pdg_{0007092}

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

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

1

8135396036 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

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

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

pdg_{0006850} pdg_{0009046}

8173074178 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

8362338572 \(v_{\rm escape}\)
v_{\rm escape}
TODO

Symbol('pdg0008656')

pdg_{0008656}

8406170337 \(y\)
y
TODO

Symbol('pdg0005647')

pdg_{0005647}

8416464049 \(KE_{\rm escape}\)
KE_{\rm escape}
TODO

Symbol('pdg0005332')

pdg_{0005332}

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

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

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

8607458157 \(dt\)
dt
TODO

Symbol('pdg0004711')

pdg_{0004711}

8642992037 \(2\)
2
TODO

Integer(2)

2

8710504862 \(A\)
A
TODO

Symbol('pdg0004453')

pdg_{0004453}

8717193282 \(dt\)
dt
TODO

Symbol('pdg0004711')

pdg_{0004711}

8854422847 \(dT\)
dT
TODO

Symbol('pdg0007343')

pdg_{0007343}

8857931498 \(c\)
c
TODO

Symbol('pdg0004567')

pdg_{0004567}

8865085668 \(t\)
t
TODO

Symbol('pdg0001467')

pdg_{0001467}

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

Symbol('pdg0006431')

pdg_{0006431}

8880467139 \(2\)
2
TODO

Integer(2)

2

8916428651 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

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

Symbol('pdg0004928')

pdg_{0004928}

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

Symbol('pdg0004928')

pdg_{0004928}

9040079362 \(f\)
f
TODO

Symbol('pdg0004201')

pdg_{0004201}

9053099840 \(I\)
I
TODO

Symbol('pdg0004501')

pdg_{0004501}

9070454719 \(v_0^2\)
v_0^2
TODO

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

pdg_{0005153}^{2}

9072369552 \(m_{\rm Earth}\)
m_{\rm Earth}
TODO

Symbol('pdg0005458')

pdg_{0005458}

9110536742 \(2 x\)
2 x
TODO

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

2 pdg_{0001464}

9174439158 \(R_1\)
R_1
TODO

Symbol('pdg0008697')

pdg_{0008697}

9305761407 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

9346215480 \(T_{\rm orbit}\)
T_{\rm orbit}
TODO

Symbol('pdg0008762')

pdg_{0008762}

9350663581 \(\pi\)
\pi
TODO

Symbol('pdg0003141')

pdg_{0003141}

9350720370 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

9355039511 \(g\)
g
TODO

Symbol('pdg0001649')

pdg_{0001649}

9370882921 \(KE_{\rm escape}\)
KE_{\rm escape}
TODO

Symbol('pdg0005332')

pdg_{0005332}

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

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

1

9565166889 \(T\)
T
TODO

Symbol('pdg0009491')

pdg_{0009491}

9590696981 \(9.80665\)
9.80665
TODO

Float('9.8066499999999994', precision=53)

9.80665

9594072504 \(m_2\)
m_2
TODO

Symbol('pdg0004851')

pdg_{0004851}

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

Symbol('pdg0007427')

pdg_{0007427}

9623791270 \(d\)
d
TODO

Symbol('pdg0004037')

pdg_{0004037}

9645178657 \(a t\)
a t
TODO

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

pdg_{0001467} pdg_{0009140}

9674924517 \(K >> G\)
K >> G
TODO

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

pdg_{0001466} > pdg_{0003033}

9746066299 \(R_2\)
R_2
TODO

Symbol('pdg0003461')

pdg_{0003461}

9753878784 \(v\)
v
TODO

Symbol('pdg0001357')

pdg_{0001357}

9761485403 \(Z\)
Z
TODO

Symbol('pdg0003192')

pdg_{0003192}

9789485295 \(v_{\rm satellite}\)
v_{\rm satellite}
TODO

Symbol('pdg0004082')

pdg_{0004082}

9794128647 \(m_1\)
m_1
TODO

Symbol('pdg0005458')

pdg_{0005458}

9830343096 \(V_1\)
V_1
TODO

Symbol('pdg0008257')

pdg_{0008257}

9881106100 \(a\)
a
TODO

Symbol('pdg0009140')

pdg_{0009140}

9884115626 \(r\)
r
TODO

Symbol('pdg0002530')

pdg_{0002530}

9885190237 \(i\)
i
TODO

Symbol('pdg0004621')

pdg_{0004621}

9903988330 \(m\)
m
TODO

Symbol('pdg0005156')

pdg_{0005156}

9906920183 \(x\)
x
TODO

Symbol('pdg0001464')

pdg_{0001464}

9933742680 \(r_{\rm Schwarzschild}\)
r_{\rm Schwarzschild}
TODO

Symbol('pdg0004518')

pdg_{0004518}

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

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

6.6743 \cdot 10^{-11}

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