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Symbols in the Physics Derivation Graph

Symbol latex:   XOR   Name:
symbol ID category latex scope dimensionality name value Used in derivations references use count
2321 variable \omega
\(\omega\)
['real']
  • time: -1
angular frequency 15
2941 variable n_1
\(n_1\)
['real']
index of refraction for material 1 9
4929 variable KE
\(KE\)
['real']
  • length: 2
  • time: -2
  • mass: 1
kinetic energy 7
4930 variable PE
\(PE\)
['real']
  • length: 2
  • time: -2
  • mass: 1
potential energy 4
4931 variable E
\(E\)
['real']
  • length: 2
  • time: -2
  • mass: 1
energy 10
1134 variable p
\(p\)
['real']
  • length: 1
  • time: -1
  • mass: 1
momentum 15
4928 variable \theta_{\rm Brewster}
\(\theta_{\rm Brewster}\)
['real']
Brewster's angle 16
1157 constant k_{Boltzmann}
\(k_{Boltzmann}\)
['real']
  • length: 2
  • time: -2
  • mass: 1
  • temperature: -1
Boltzmann constant 1.38064852 10^{-23}   meter^2 kilogram second^-2 Kelvin^-1
1
1054 constant \hbar
\(\hbar\)
['real']
  • length: 2
  • time: -1
  • mass: 1
Reduced Planck's constant 1.0545718*10^{-34}   meter^2 kilogram second^-1
33
1357 variable v
\(v\)
['real']
  • length: 1
  • time: -1
velocity 80
1370 constant \alpha
\(\alpha\)
['real']
fine-structure constant 1/137.03599999   dimensionless
5
1452 variable y
\(y\)
['real']
13
1464 variable x
\(x\)
['real']
140
1467 variable t
\(t\)
['real']
  • time: 1
time 115
1469 variable y_0
\(y_0\)
['real']
  • length: 1
initial position 9
1552 variable j
\(j\)
['integer']
index 7
1567 variable i
\(i\)
['integer']
index 1
1572 variable x_0
\(x_0\)
['real']
  • length: 1
initial position 11
1900 variable d
\(d\)
['real']
  0
2718 constant \exp
\(\exp\)
['real']
e 2.71828   unitless
8
1999 constant e
\(e\)
['real']
  • charge: 1
charge of an electron 1.602*10^{-19}   Columb
6
2467 variable t_f
\(t_f\)
['real']
  • time: 1
final time 15
2911 variable \vec{x}
\(\vec{x}\)
['vector']
  • length: 1
position   0
3141 constant \pi
\(\pi\)
['real']
pi 3.1415   dimensionless
55
4202 variable F
\(F\)
['real']
  • length: 1
  • time: -2
  • mass: 1
force 21
4201 variable f
\(f\)
['real']
  • time: -1
frequency 8
4200 variable f
\(f\)
['real']
  0
4221 variable u
\(u\)
['real']
5
4231 variable c
\(c\)
['real']
12
4291 variable g
\(g\)
['real']
  0
4567 constant c
\(c\)
['real']
  • length: 1
  • time: -1
speed of light in vacuum 299792458   meters/second
32
4568 variable t_0
\(t_0\)
['real']
  • time: 1
time 0   0
4621 variable i
\(i\)
['imaginary']
imaginary unit 74
5156 variable m
\(m\)
['real']
  • mass: 1
mass 49
5321 variable k
\(k\)
['real']
  • length: -1
angular wavenumber 13
5563 variable t_i
\(t_i\)
['real']
  • time: 1
initial time   0
6022 constant N_A
\(N_A\)
['real']
  • amount of substance: -1
Avagadro's constant 6.02214086*10^{23}   mol^-1
  0
9140 variable a
\(a\)
['real']
  • length: 1
  • time: -2
acceleration 29
9139 variable a
\(a\)
['real']
45
1939 variable b
\(b\)
['real']
20
9199 variable dx
\(dx\)
['real']
  • length: 1
15
9491 variable T
\(T\)
['real']
  • time: 1
period 8
1115 variable \lambda
\(\lambda\)
['real']
  • length: 1
wavelength 5
1943 variable d
\(d\)
['real']
  • length: 1
displacement 25
3034 variable C
\(C\)
['real']
  • length: 1
circumference 5
2530 variable r
\(r\)
['real']
  • length: 1
radius 34
6081 constant r_{\rm Earth\ orbit}
\(r_{\rm Earth\ orbit}\)
['real']
  • length: 1
radius of Earth's orbit 1.496*10^8   km
5
4037 variable x
\(x\)
['real']
  • length: 1
position 47
5456 variable x'
\(x'\)
['real']
  • length: 1
position in moving reference frame 3
1888 variable y'
\(y'\)
['real']
  • length: 1
position in moving reference frame 2
4306 variable z'
\(z'\)
['real']
  • length: 1
position in moving reference frame 2
6728 variable z
\(z\)
['real']
  • length: 1
position 5
5647 variable y
\(y\)
['real']
  • length: 1
position 13
1790 variable \gamma
\(\gamma\)
['real']
Lorentz factor 35
5153 variable v_0
\(v_0\)
['real']
  • length: 1
  • time: -1
initial velocity 44
4453 variable A
\(A\)
['complex']
none 23
4698 variable B
\(B\)
['complex']
none 19
3192 variable Z
\(Z\)
['complex']
none 9
1575 variable \theta
\(\theta\)
['real']
angle 34
8586 variable \phi
\(\phi\)
['real']
angle 10
7882 variable I
\(I\)
['real']
  • time: -3
  • mass: 1
intensity 9
8251 variable I_{\rm coherent}
\(I_{\rm coherent}\)
['real']
  • time: -3
  • mass: 1
intensity of coherent waves 4
2435 variable I_{\rm incoherent}
\(I_{\rm incoherent}\)
['real']
  • time: -3
  • mass: 1
intensity of incoherent waves 4
1649 variable g
\(g\)
['real']
  • length: 1
  • time: -2
acceleration due to gravity 27
2958 variable v_{0, x}
\(v_{0, x}\)
['real']
  • length: 1
  • time: -1
initial velocity along x axis 15
9431 variable v_{0, y}
\(v_{0, y}\)
['real']
  • length: 1
  • time: -1
initial velocity along y axis 12
6091 variable \vec{v}_0
\(\vec{v}_0\)
['real']
  • length: 1
  • time: -1
initial velocity 1
4711 variable dt
\(dt\)
['real']
  • time: 1
differential time
  • str_note
7
5674 variable d v_y
\(d v_y\)
['real']
  • length: 1
  • time: -1
differential velocity along y axis 2
5005 variable d v_x
\(d v_x\)
['real']
  • length: 1
  • time: -1
differential velocity along x axis 2
5842 variable dy
\(dy\)
['real']
  • length: 1
differential displacement along y axis
  • str_note
2
7092 variable y_f
\(y_f\)
['real']
  • length: 1
final position on y axis 4
3652 variable x_f
\(x_f\)
real
  • length: 1
final position on x axis 4
1592 variable n
\(n\)
integer
index 23
2523 variable W
\(W\)
real
  • length: 1
width 25
6789 variable W
\(W\)
real
  • length: 2
  • time: -2
  • mass: 1
work 10
1088 variable W
\(W\)
real
  • length: 2
  • time: -2
  • mass: 1
work done to a system 1
9398 variable dW
\(dW\)
real
  • length: 2
  • time: -2
  • mass: 1
differential work
  • str_note
2
5458 constant m_{\rm Earth}
\(m_{\rm Earth}\)
real
  • mass: 2
mass of Earth 5.97237*10^24   kg
34
6277 constant G
\(G\)
real
  • length: 3
  • time: -2
  • mass: -1
gravitational constant 6.67430*10^{-11}   m^3 * kg^-1 * s^-2
46
3236 constant r_{\rm Earth}
\(r_{\rm Earth}\)
real
  • length: 1
radius of Earth 6.3781*10^{6}   m
21
8656 variable v_{\rm escape}
\(v_{\rm escape}\)
real
  • length: 1
  • time: -1
escape velocity 12
4518 variable r_{\rm Schwarzschild}
\(r_{\rm Schwarzschild}\)
real
  • length: 1
Schwarzschild radius; event horizon 5
6599 variable V
\(V\)
real
  • length: 2
  • time: -2
  • mass: 1
  • charge: -1
voltage 11
8257 variable V_1
\(V_1\)
real
  • length: 2
  • time: -2
  • mass: 1
  • charge: -1
voltage 3
8721 variable V_2
\(V_2\)
real
  • length: 2
  • time: -2
  • mass: 1
  • charge: -1
voltage 3
4501 variable I
\(I\)
real
  • time: -1
  • charge: 1
electric current 9
3978 variable I_1
\(I_1\)
real
  • time: -1
  • charge: 1
electric current 4
4856 variable I_2
\(I_2\)
real
  • time: -1
  • charge: 1
electric current 4
6458 variable R
\(R\)
real
  • length: 2
  • time: -1
  • mass: 1
  • charge: -2
electrical resistance 6
8697 variable R_1
\(R_1\)
real
  • length: 2
  • time: -1
  • mass: 1
  • charge: -2
electrical resistance 10
3461 variable R_2
\(R_2\)
real
  • length: 2
  • time: -1
  • mass: 1
  • charge: -2
electrical resistance 10
1908 variable R_{\rm total}
\(R_{\rm total}\)
real
  • length: 2
  • time: -1
  • mass: 1
  • charge: -2
electrical resistance 9
9647 variable I_{\rm total}
\(I_{\rm total}\)
real
  • time: -1
  • charge: 1
electric current 4
4691 variable V_{\rm total}
\(V_{\rm total}\)
real
  • length: 2
  • time: -2
  • mass: 1
  • charge: -1
voltage 2
7557 constant g_{\rm Earth}
\(g_{\rm Earth}\)
real
  • length: 1
  • time: -2
average acceleration due to gravity on Earth 9.80665   m * s^-2
6
5177 variable v
\(v\)
real
none
  • str_note
2
4989 variable t'
\(t'\)
real
  • time: 1
time in moving reference frame
  • str_note
7
8339 variable \hat{x}
\(\hat{x}\)
real
unit vector 4
1700 variable \hat{y}
\(\hat{y}\)
real
unit vector 4
5598 variable \hat{A}
\(\hat{A}\)
real
observerable operator 3
3410 variable h
\(h\)
real
none
  • str_note
2
1955 variable KE_1
\(KE_1\)
real
  • length: 2
  • time: -2
  • mass: 1
kinetic energy 17
1352 variable KE_2
\(KE_2\)
real
  • length: 2
  • time: -2
  • mass: 1
kinetic energy 14
4093 variable PE_1
\(PE_1\)
real
  • length: 2
  • time: -2
  • mass: 1
kinetic energy 12
8849 variable PE_2
\(PE_2\)
real
  • length: 2
  • time: -2
  • mass: 1
potential energy 11
3509 variable \theta_1
\(\theta_1\)
real
angle 2
7545 variable \theta_2
\(\theta_2\)
real
angle 2
1958 variable n_2
\(n_2\)
real
index of refraction for material 2 8
5022 variable m_1
\(m_1\)
real
  • mass: 1
mass 18
4851 variable m_2
\(m_2\)
real
  • mass: 1
mass 17
3569 variable m_{\rm satellite}
\(m_{\rm satellite}\)
real
  • mass: 1
mass of satellite 6
4082 variable v_{\rm satellite}
\(v_{\rm satellite}\)
real
  • length: 1
  • time: -1
velocity of satellite 4
4413 variable h
\(h\)
real
  • length: 2
  • time: -1
  • mass: 1
Planck's constant 5
2243 variable \theta_{\rm refracted}
\(\theta_{\rm refracted}\)
real
refracted angle
  • str_note
2
3852 variable x_1
\(x_1\)
real
  • length: 1
position 1
  • str_note
5
5467 variable x_2
\(x_2\)
real
  • length: 1
position 2
  • str_note
5
5579 variable E_1
\(E_1\)
real
  • length: 2
  • time: -2
  • mass: 1
energy 1
  • str_note
9
4550 variable E_2
\(E_2\)
real
  • length: 2
  • time: -2
  • mass: 1
energy 2
  • str_note
9
2473 variable v_1
\(v_1\)
real
  • length: 1
  • time: -1
velocity 1 14
4770 variable v_2
\(v_2\)
real
  • length: 1
  • time: -1
velocity 2 14
6709 variable v_{\rm average}
\(v_{\rm average}\)
real
  • length: 1
  • time: -1
velocity average 2
8762 variable T_{\rm orbit}
\(T_{\rm orbit}\)
real
  • time: 1
orbital period 9
5595 variable T_{\rm geostationary\ orbit}
\(T_{\rm geostationary\ orbit}\)
real
  • time: 1
geostationary orbital period 3
1534 variable C_{\rm Earth\ orbit}
\(C_{\rm Earth\ orbit}\)
real
  • length: 1
circumference of Earth's orbit 4
1687 variable F_{\rm centripetal}
\(F_{\rm centripetal}\)
real
  • length: 1
  • time: -2
  • mass: 1
centripetal force 3
2867 variable F_{\rm gravity}
\(F_{\rm gravity}\)
real
  • length: 1
  • time: -2
  • mass: 1
force due to gravity 3
9107 variable v_y
\(v_y\)
real
  • length: 1
  • time: -1
velocity along y axis
  • str_note
7
6722 variable du
\(du\)
real
differential of u  
  • str_note
0
6694 variable dv
\(dv\)
real
differential of v  
  • str_note
0
5332 variable KE_{\rm escape}
\(KE_{\rm escape}\)
real
  • length: 2
  • time: -2
  • mass: 1
kinetic energy of escape velocity
  • str_note
4
6431 variable PE_{\rm Earth\ surface}
\(PE_{\rm Earth\ surface}\)
real
  • length: 2
  • time: -2
  • mass: 1
potential energy at the Earth's surface
  • str_note
4
7159 variable a_x
\(a_x\)
real
  • length: 1
  • time: -2
acceleration along x axis 4
7055 variable a_y
\(a_y\)
real
  • length: 1
  • time: -2
acceleration along y axis 4
1302 variable \vec{p}_{\rm before}
\(\vec{p}_{\rm before}\)
real
  • length: 1
  • time: -1
  • mass: 1
momentum before collision 2
5493 variable \vec{p}_{\rm after}
\(\vec{p}_{\rm after}\)
real
  • length: 1
  • time: -1
  • mass: 1
momentum after collision 3
6029 variable \vec{p}_1
\(\vec{p}_1\)
real
  • length: 1
  • time: -1
  • mass: 1
momentum 1 5
2097 variable \vec{p}_2
\(\vec{p}_2\)
real
  • length: 1
  • time: -1
  • mass: 1
momentum 2 5
4299 variable \vec{p}_{\rm electron}
\(\vec{p}_{\rm electron}\)
real
  • length: 1
  • time: -1
  • mass: 1
momentum of electron 5
7427 variable v_{\rm Earth\ orbit}
\(v_{\rm Earth\ orbit}\)
real
  • length: 1
  • time: -1
velocity of Earth's orbit around sun
  • str_note
6
5344 variable t_{\rm Earth\ orbit}
\(t_{\rm Earth\ orbit}\)
real
  • time: 1
time of Earth's orbit around sun
  • str_note
5
8039 variable H
\(H\)
real
  • length: 2
  • time: -2
  • mass: 1
enthalpy   0
5786 variable U
\(U\)
real
  • length: 2
  • time: -2
  • mass: 1
internal energy 7
5480 variable \pi_T
\(\pi_T\)
real
  • length: 1
  • time: -2
  • mass: 1
internal pressure at constant temperature 2
6682 variable C_V
\(C_V\)
real
  • length: 2
  • time: -2
  • mass: 1
  • temperature: -1
heat capacity at constant volume 2
9432 variable Q
\(Q\)
real
  • length: 2
  • time: -2
  • mass: 1
heat flow 1
8134 variable P
\(P\)
real
  • length: -1
  • time: -2
  • mass: 1
pressure 13
7586 variable V
\(V\)
real
  • length: 3
volume 15
9843 variable \mu_{JT}
\(\mu_{JT}\)
real
  • length: 1
  • time: 2
  • mass: -1
  • temperature: 1
Joule-Thomson coefficient   0
4686 variable \alpha
\(\alpha\)
real
  • temperature: -1
expansion coefficient 6
4610 variable \mu_T
\(\mu_T\)
real
isothermal Joule-Thomson coefficient   0
1394 variable S
\(S\)
real
  • length: 2
  • time: -2
  • mass: 1
  • temperature: -1
entropy 1
3434 variable \Omega
\(\Omega\)
real
number of microscopic configurations (known as microstates) that are consistent with the macroscopic quantities that characterize the system 1
7343 variable T
\(T\)
real
  • temperature: 1
temperature 18
4645 variable \kappa_T
\(\kappa_T\)
real
coefficient of isothermal compressibility
  • str_note
6
2834 variable n
\(n\)
real
amount of substance 8
8179 constant R
\(R\)
real
  • length: 2
  • time: -2
  • mass: 1
  • temperature: -1
  • amount of substance: -1
ideal gas constant 8.31446261815324   Jā‹…K^{āˆ’1} mol^{āˆ’1}
8
7940 constant \epsilon_0
\(\epsilon_0\)
real
  • length: -3
  • time: 2
  • mass: -1
  • charge: 2
vacuum permittivity, permittivity of free space or electric constant or the distributed capacitance of the vacuum 8.8541878128E-{12}   F/m
14
6197 constant \mu_0
\(\mu_0\)
real
  • length: 1
  • mass: 1
  • charge: -2
vacuum permeability, permeability of free space, permeability of vacuum, or magnetic constant 1.25663706212E^{-6}   N/A^2
8
9189 variable \omega_{\rm Debye}
\(\omega_{\rm Debye}\)
real
Debye frequency   0
2851 variable k_{\rm Debye}
\(k_{\rm Debye}\)
real
Debye wavevector   0
2875 constant r_{\rm Bohr}
\(r_{\rm Bohr}\)
real
  • length: 1
Bohr radius 5.29E^{-11}   m
  0
5916 constant m_p
\(m_p\)
real
  • mass: 1
mass of proton 1.67262192369E^{-27}   kg
3
2515 constant m_e
\(m_e\)
real
  • mass: 1
mass of electron 9.1093837015E^{-31}   kg
7
9838 variable E_{\rm Rydberg}
\(E_{\rm Rydberg}\)
real
Rydberg energy 2
9863 variable m
\(m\)
real
  • mass: 1
mass of atom or molecule 8
5854 variable a
\(a\)
real
  • length: 1
atomic separation
  • str_note
5
2241 variable E
\(E\)
real
bonding energy
  • str_note
6
3033 variable G
\(G\)
real
  • length: -1
  • time: -2
  • mass: 1
shear modulus 2
1466 variable K
\(K\)
real
  • length: -1
  • time: -2
  • mass: 1
bulk modulus 2
2077 variable v
\(v\)
real
  • length: 1
  • time: -1
longitudinal speed of sound in condensed matter 9
3935 variable \rho
\(\rho\)
real
  • length: -3
  • mass: 1
density 7
4635 constant v_u
\(v_u\)
real
  • length: 1
  • time: -1
upper limit on velocity in condensed matter 36100   m/s
1
6235 variable f
\(f\)
real
proportionality constant
  • str_note
5
3285 variable A
\(A\)
real
  • mass: 1
atomic mass 3
2046 variable \vec{p}
\(\vec{p}\)
real
  • length: 1
  • time: -1
  • mass: 1
momentum 5
7394 variable \vec{k}
\(\vec{k}\)
real
  • length: -1
wavenumber 1
9472 variable \vec{r}
\(\vec{r}\)
real
  • length: 1
radius vector
  • str_note
24
7110 variable r_{\rm geostationary\ orbit}
\(r_{\rm geostationary\ orbit}\)
real
  • length: 1
geostationary orbital radius 2
4679 variable \langle \psi_{\alpha} |
\(\langle \psi_{\alpha} |\)
complex dimensionless bra 7
2090 variable | \psi_{\beta} \rangle
\(| \psi_{\beta} \rangle\)
complex dimensionless ket 7
2427 variable a_{\alpha}
\(a_{\alpha}\)
complex dimensionless none 4
7752 variable a_{\beta}
\(a_{\beta}\)
complex dimensionless none 5
4065 variable \langle \psi|
\(\langle \psi|\)
complex dimensionless bra 4
9329 variable |\psi \rangle
\(|\psi \rangle\)
complex dimensionless ket 1
6799 variable {\cal H}
\({\cal H}\)
complex dimensionless operator 1
3474 variable \epsilon
\(\epsilon\)
real dimensionless Levi-Civita   0
9669 variable \delta
\(\delta\)
real dimensionless Kronecker delta   0
9489 variable \psi
\(\psi\)
complex dimensionless none
  • str_note
27
5340 variable KE_{\rm final}
\(KE_{\rm final}\)
real dimensionless final kinetic energy 5
4121 variable KE_{\rm initial}
\(KE_{\rm initial}\)
real dimensionless initial kinetic energy 5
1934 variable v_{\rm initial}
\(v_{\rm initial}\)
real
  • length: 1
  • time: -1
initial velocity 4
8909 variable v_{\rm final}
\(v_{\rm final}\)
real
  • length: 1
  • time: -1
final velocity 9
5734 variable \Delta KE
\(\Delta KE\)
real dimensionless change in kinetic energy 2
6777 variable \vec{F}
\(\vec{F}\)
real dimensionless force 1
6191 variable W_{\rm by\ system}
\(W_{\rm by\ system}\)
real
  • length: 2
  • time: -2
  • mass: 1
work done by system 5
9372 variable W_{\rm to\ system}
\(W_{\rm to\ system}\)
real
  • length: 2
  • time: -2
  • mass: 1
work done to system 8
4326 variable \vec{E}
\(\vec{E}\)
complex dimensionless electric field 9
7984 variable i
\(i\)
integer dimensionless index
  • str_note
1
9690 variable k
\(k\)
integer dimensionless index
  • str_note
4
8304 variable l
\(l\)
integer dimensionless index
  • str_note
3
7930 variable m
\(m\)
integer dimensionless index
  • str_note
5
2423 variable \vec{a}
\(\vec{a}\)
real
  • length: 1
  • time: -2
acceleration
  • str_note
2
6373 variable \vec{v}
\(\vec{v}\)
real
  • length: 1
  • time: -1
velocity
  • str_note
2
5505 variable v_x
\(v_x\)
real
  • length: 1
  • time: -1
velocity along x axis
  • str_note
7
6238 variable E
\(E\)
real dimensionless electric field 20
2069 variable \vec{H}
\(\vec{H}\)
real dimensionless magnetic field 3
3981 variable h
\(h\)
integer dimensionless index  
  • str_note
0
8349 variable \hat{x}_i
\(\hat{x}_i\)
real dimensionless ith unit vector
  • str_note
3
1434 variable \hat{x}_n
\(\hat{x}_n\)
real dimensionless nth unit vector
  • str_note
1
2380 variable \hat{x}_m
\(\hat{x}_m\)
real dimensionless mth unit vector
  • str_note
1
8330 variable \psi_0
\(\psi_0\)
complex dimensionless amplitude of wavefunction
  • str_note
6
Physics Derivation Graph: 212 Symbols

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