## Symbols in the Physics Derivation Graph

Symbol latex:   XOR   Name:
symbol ID category latex scope dimensionality name value Used in derivations references use count
1054 constant \hbar
$$\hbar$$
['real']
• length: 2
• mass: 1
• time: -1
Reduced Planck's constant 1.0545718*10^{-34}   meter^2 kilogram second^-1
33
1088 variable W
$$W$$
real
• length: 2
• mass: 1
• time: -2
work done to a system
1
1115 variable \lambda
$$\lambda$$
['real']
• length: 1
wavelength
5
1134 variable p
$$p$$
['real']
• length: 1
• mass: 1
• time: -1
momentum
15
1157 constant k_{Boltzmann}
$$k_{Boltzmann}$$
['real']
• length: 2
• mass: 1
• temperature: -1
• time: -2
Boltzmann constant 1.38064852 10^{-23}   meter^2 kilogram second^-2 Kelvin^-1
1
1302 variable \vec{p}_{\rm before}
$$\vec{p}_{\rm before}$$
real
• length: 1
• mass: 1
• time: -1
momentum before collision
2
1352 variable KE_2
$$KE_2$$
real
• length: 2
• mass: 1
• time: -2
kinetic energy
14
1356 variable k
$$k$$
real
• mass: 1
• time: -2
linear stiffness, aka spring constant
7
1357 variable v
$$v$$
['real']
• length: 1
• time: -1
velocity
83
1370 constant \alpha
$$\alpha$$
['real'] dimensionless fine-structure constant 1/137.03599999   dimensionless
5
1394 variable S
$$S$$
real
• length: 2
• mass: 1
• temperature: -1
• time: -2
entropy
1
1434 variable \hat{x}_n
$$\hat{x}_n$$
real dimensionless nth unit vector
• str_note
1
1452 variable y
$$y$$
['real'] dimensionless 13
1464 variable x
$$x$$
['real'] dimensionless 140
1466 variable K
$$K$$
real
• length: -1
• mass: 1
• time: -2
bulk modulus
2
1467 variable t
$$t$$
['real']
• time: 1
time
121
1469 variable y_0
$$y_0$$
['real']
• length: 1
initial position 9
1534 variable C_{\rm Earth\ orbit}
$$C_{\rm Earth\ orbit}$$
real
• length: 1
circumference of Earth's orbit
4
1552 variable j
$$j$$
['integer'] dimensionless index 7
1567 variable i
$$i$$
['integer'] dimensionless index 1
1572 variable x_0
$$x_0$$
['real']
• length: 1
initial position 11
1575 variable \theta
$$\theta$$
['real'] dimensionless angle
34
1592 variable n
$$n$$
integer dimensionless index 23
1649 variable g
$$g$$
['real']
• length: 1
• time: -2
acceleration due to gravity
27
1687 variable F_{\rm centripetal}
$$F_{\rm centripetal}$$
real
• length: 1
• mass: 1
• time: -2
centripetal force
8
1700 variable \hat{y}
$$\hat{y}$$
real dimensionless unit vector
4
1790 variable \gamma
$$\gamma$$
['real'] dimensionless Lorentz factor
35
1791 variable \theta_A
$$\theta_A$$
real dimensionless the fraction of the surface sites covered with A
5
1888 variable y'
$$y'$$
['real']
• length: 1
position in moving reference frame
2
1900 variable d
$$d$$
['real'] dimensionless   0
1908 variable R_{\rm total}
$$R_{\rm total}$$
real
• electric charge: -2
• length: 2
• mass: 1
• time: -1
electrical resistance
9
1934 variable v_{\rm initial}
$$v_{\rm initial}$$
real
• length: 1
• time: -1
initial velocity
4
1939 variable b
$$b$$
['real'] dimensionless 20
1943 variable d
$$d$$
['real']
• length: 1
displacement
25
1955 variable KE_1
$$KE_1$$
real
• length: 2
• mass: 1
• time: -2
kinetic energy
17
1958 variable n_2
$$n_2$$
real dimensionless index of refraction for material 2
8
1966 variable r_{\rm desorption}
$$r_{\rm desorption}$$
real
• time: -1
rate of desorption
3
1999 constant e
$$e$$
['real']
• electric charge: 1
charge of an electron 1.602*10^{-19}   Columb
6
2046 variable \vec{p}
$$\vec{p}$$
real
• length: 1
• mass: 1
• time: -1
momentum
5
2069 variable \vec{H}
$$\vec{H}$$
real dimensionless magnetic field
3
2077 variable v
$$v$$
real
• length: 1
• time: -1
longitudinal speed of sound in condensed matter
9
2090 variable | \psi_{\beta} \rangle
$$| \psi_{\beta} \rangle$$
complex dimensionless ket
7
2097 variable \vec{p}_2
$$\vec{p}_2$$
real
• length: 1
• mass: 1
• time: -1
momentum 2
5
2241 variable E
$$E$$
real dimensionless bonding energy
• str_note
6
2243 variable \theta_{\rm refracted}
$$\theta_{\rm refracted}$$
real dimensionless refracted angle
• str_note
2
2321 variable \omega
$$\omega$$
['real']
• time: -1
angular frequency
26
2380 variable \hat{x}_m
$$\hat{x}_m$$
real dimensionless mth unit vector
• str_note
1
2423 variable \vec{a}
$$\vec{a}$$
real
• length: 1
• time: -2
acceleration
• str_note
2
2427 variable a_{\alpha}
$$a_{\alpha}$$
complex dimensionless none
4
2435 variable I_{\rm incoherent}
$$I_{\rm incoherent}$$
['real']
• mass: 1
• time: -3
intensity of incoherent waves
4
2467 variable t_f
$$t_f$$
['real']
• time: 1
final time 15
2473 variable v_1
$$v_1$$
real
• length: 1
• time: -1
velocity 1
14
2515 constant m_e
$$m_e$$
real
• mass: 1
mass of electron 9.1093837015E^{-31}   kg
7
2523 variable W
$$W$$
real
• length: 1
width 25
2530 variable r
$$r$$
['real']
• length: 1
60
2718 constant \exp
$$\exp$$
['real'] dimensionless e 2.71828   unitless
8
2798 variable d_2
$$d_2$$
real
• length: 1
distance
18
2834 variable n
$$n$$
real dimensionless amount of substance
8
2851 variable k_{\rm Debye}
$$k_{\rm Debye}$$
real dimensionless Debye wavevector
0
2867 variable F_{\rm gravity}
$$F_{\rm gravity}$$
real
• length: 1
• mass: 1
• time: -2
force due to gravity
12
2875 constant r_{\rm Bohr}
$$r_{\rm Bohr}$$
real
• length: 1

0
2911 variable \vec{x}
$$\vec{x}$$
['vector']
• length: 1
position   0
2941 variable n_1
$$n_1$$
['real'] dimensionless index of refraction for material 1
9
2958 variable v_{0, x}
$$v_{0, x}$$
['real']
• length: 1
• time: -1
initial velocity along x axis
15
3033 variable G
$$G$$
real
• length: -1
• mass: 1
• time: -2
shear modulus
2
3034 variable C
$$C$$
['real']
• length: 1
circumference
5
3037 variable [S_0]
$$[S_0]$$
real
• amount of substance: 1
total number of sites
7
3141 constant \pi
$$\pi$$
['real'] dimensionless pi 3.1415   dimensionless
72
3192 variable Z
$$Z$$
['complex'] dimensionless none
9
3236 constant r_{\rm Earth}
$$r_{\rm Earth}$$
real
• length: 1
21
3285 variable A
$$A$$
real
• mass: 1
atomic mass
3
3410 variable h
$$h$$
real dimensionless none
• str_note
2
3434 variable \Omega
$$\Omega$$
real dimensionless number of microscopic configurations (known as microstates) that are consistent with the macroscopic quantities that characterize the system
1
3461 variable R_2
$$R_2$$
real
• electric charge: -2
• length: 2
• mass: 1
• time: -1
electrical resistance
10
3474 variable \epsilon
$$\epsilon$$
real dimensionless Levi-Civita
0
3509 variable \theta_1
$$\theta_1$$
real dimensionless angle
2
3569 variable m_{\rm satellite}
$$m_{\rm satellite}$$
real
• mass: 1
mass of satellite
6
3652 variable x_f
$$x_f$$
real
• length: 1
final position on x axis 3
3852 variable x_1
$$x_1$$
real
• length: 1
position 1
• str_note
5
3935 variable \rho
$$\rho$$
real
• length: -3
• mass: 1
density
7
3978 variable I_1
$$I_1$$
real
• electric charge: 1
• time: -1
electric current
4
3981 variable h
$$h$$
integer dimensionless index
• str_note
0
4037 variable x
$$x$$
['real']
• length: 1
position
53
4065 variable \langle \psi|
$$\langle \psi|$$
complex dimensionless bra
4
4082 variable v_{\rm satellite}
$$v_{\rm satellite}$$
real
• length: 1
• time: -1
velocity of satellite
4
4093 variable PE_1
$$PE_1$$
real
• length: 2
• mass: 1
• time: -2
kinetic energy
12
4121 variable KE_{\rm initial}
$$KE_{\rm initial}$$
real dimensionless initial kinetic energy
5
4183 variable F_{\rm{spring}}
$$F_{\rm{spring}}$$
real
• length: 1
• mass: 1
• time: -2
force of a spring
1
4200 variable f
$$f$$
['real'] dimensionless   0
4201 variable f
$$f$$
['real']
• time: -1
frequency
8
4202 variable F
$$F$$
['real']
• length: 1
• mass: 1
• time: -2
force
21
4221 variable u
$$u$$
['real'] dimensionless 5
4231 variable c
$$c$$
['real'] dimensionless 12
4291 variable g
$$g$$
['real'] dimensionless   0
4299 variable \vec{p}_{\rm electron}
$$\vec{p}_{\rm electron}$$
real
• length: 1
• mass: 1
• time: -1
momentum of electron
5
4306 variable z'
$$z'$$
['real']
• length: 1
position in moving reference frame
2
4326 variable \vec{E}
$$\vec{E}$$
complex dimensionless electric field
9
4413 variable h
$$h$$
real
• length: 2
• mass: 1
• time: -1
Planck's constant
5
4453 variable A
$$A$$
['complex'] dimensionless none
23
4501 variable I
$$I$$
real
• electric charge: 1
• time: -1
electric current
9
4518 variable r_{\rm Schwarzschild}
$$r_{\rm Schwarzschild}$$
real
• length: 1
5
4550 variable E_2
$$E_2$$
real
• length: 2
• mass: 1
• time: -2
energy 2
• str_note
9
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
4610 variable \mu_T
$$\mu_T$$
real dimensionless isothermal Joule-Thomson coefficient
0
4621 variable i
$$i$$
['imaginary'] dimensionless imaginary unit
74
4635 constant v_u
$$v_u$$
real
• length: 1
• time: -1
upper limit on velocity in condensed matter 36100   m/s
1
4645 variable \kappa_T
$$\kappa_T$$
real dimensionless coefficient of isothermal compressibility
• str_note
6
4679 variable \langle \psi_{\alpha} |
$$\langle \psi_{\alpha} |$$
complex dimensionless bra
7
4686 variable \alpha
$$\alpha$$
real
• temperature: -1
expansion coefficient
6
4691 variable V_{\rm total}
$$V_{\rm total}$$
real
• electric charge: -1
• length: 2
• mass: 1
• time: -2
voltage
2
4698 variable B
$$B$$
['complex'] dimensionless none
19
4711 variable dt
$$dt$$
['real']
• time: 1
differential time
• str_note
7
4770 variable v_2
$$v_2$$
real
• length: 1
• time: -1
velocity 2
14
4851 variable m_2
$$m_2$$
real
• mass: 1
mass
31
4856 variable I_2
$$I_2$$
real
• electric charge: 1
• time: -1
electric current
4
4928 variable \theta_{\rm Brewster}
$$\theta_{\rm Brewster}$$
['real'] dimensionless Brewster's angle
16
4929 variable KE
$$KE$$
['real']
• length: 2
• mass: 1
• time: -2
kinetic energy
7
4930 variable PE
$$PE$$
['real']
• length: 2
• mass: 1
• time: -2
potential energy
4
4931 variable E
$$E$$
['real']
• length: 2
• mass: 1
• time: -2
energy
10
4933 variable K_{\rm equilibrium}
$$K_{\rm equilibrium}$$
real dimensionless constant for equilibrium when rate of adsorption equals the rate of desorption
8
$$[A_{\rm adsorption}]$$
real
• amount of substance: 1
• length: 2
surface concentration of A in molecules per square meter
13
4989 variable t'
$$t'$$
real
• time: 1
time in moving reference frame
• str_note
7
5005 variable d v_x
$$d v_x$$
['real']
• length: 1
• time: -1
differential velocity along x axis 2
5022 variable m_1
$$m_1$$
real
• mass: 1
mass
35
5153 variable v_0
$$v_0$$
['real']
• length: 1
• time: -1
initial velocity 44
5156 variable m
$$m$$
['real']
• mass: 1
mass
69
5177 variable v
$$v$$
real dimensionless none
• str_note
2
5321 variable k
$$k$$
['real']
• length: -1
angular wavenumber
13
5332 variable KE_{\rm escape}
$$KE_{\rm escape}$$
real
• length: 2
• mass: 1
• time: -2
kinetic energy of escape velocity
• str_note
4
5340 variable KE_{\rm final}
$$KE_{\rm final}$$
real dimensionless final kinetic energy
5
5344 variable t_{\rm Earth\ orbit}
$$t_{\rm Earth\ orbit}$$
real
• time: 1
time of Earth's orbit around sun
• str_note
5
5456 variable x'
$$x'$$
['real']
• length: 1
position in moving reference frame
3
5458 constant m_{\rm Earth}
$$m_{\rm Earth}$$
real
• mass: 2
mass of Earth 5.97237*10^24   kg
34
5467 variable x_2
$$x_2$$
real
• length: 1
position 2
• str_note
5
5480 variable \pi_T
$$\pi_T$$
real
• length: 1
• mass: 1
• time: -2
internal pressure at constant temperature
2
5493 variable \vec{p}_{\rm after}
$$\vec{p}_{\rm after}$$
real
• length: 1
• mass: 1
• time: -1
momentum after collision
3
5505 variable v_x
$$v_x$$
real
• length: 1
• time: -1
velocity along x axis
• str_note
7
5563 variable t_i
$$t_i$$
['real']
• time: 1
initial time   0
5579 variable E_1
$$E_1$$
real
• length: 2
• mass: 1
• time: -2
energy 1
• str_note
9
5595 variable T_{\rm geostationary\ orbit}
$$T_{\rm geostationary\ orbit}$$
real
• time: 1
geostationary orbital period
3
5598 variable \hat{A}
$$\hat{A}$$
real dimensionless observerable operator
3
5647 variable y
$$y$$
['real']
• length: 1
position
14
5674 variable d v_y
$$d v_y$$
['real']
• length: 1
• time: -1
differential velocity along y axis 2
5734 variable \Delta KE
$$\Delta KE$$
real dimensionless change in kinetic energy
2
5786 variable U
$$U$$
real
• length: 2
• mass: 1
• time: -2
internal energy
7
5842 variable dy
$$dy$$
['real']
• length: 1
differential displacement along y axis
• str_note
2
5854 variable a
$$a$$
real
• length: 1
atomic separation
• str_note
5
5916 constant m_p
$$m_p$$
real
• mass: 1
mass of proton 1.67262192369E^{-27}   kg
3
6022 constant N_A
$$N_A$$
['real']
• amount of substance: -1

0
6029 variable \vec{p}_1
$$\vec{p}_1$$
real
• length: 1
• mass: 1
• time: -1
momentum 1
5
6081 constant r_{\rm Earth\ orbit}
$$r_{\rm Earth\ orbit}$$
['real']
• length: 1
radius of Earth's orbit 1.496*10^8   km
5
6091 variable \vec{v}_0
$$\vec{v}_0$$
['real']
• length: 1
• time: -1
initial velocity
1
6191 variable W_{\rm by\ system}
$$W_{\rm by\ system}$$
real
• length: 2
• mass: 1
• time: -2
work done by system
5
6197 constant \mu_0
$$\mu_0$$
real
• electric charge: -2
• length: 1
• mass: 1
vacuum permeability, permeability of free space, permeability of vacuum, or magnetic constant 1.25663706212E^{-6}   N/A^2
8
6235 variable f
$$f$$
real dimensionless proportionality constant
• str_note
5
6238 variable E
$$E$$
real dimensionless electric field
20
6277 constant G
$$G$$
real
• length: 3
• mass: -1
• time: -2
gravitational constant 6.67430*10^{-11}   m^3 * kg^-1 * s^-2
60
6373 variable \vec{v}
$$\vec{v}$$
real
• length: 1
• time: -1
velocity
• str_note
2
6431 variable PE_{\rm Earth\ surface}
$$PE_{\rm Earth\ surface}$$
real
• length: 2
• mass: 1
• time: -2
potential energy at the Earth's surface
• str_note
4
6458 variable R
$$R$$
real
• electric charge: -2
• length: 2
• mass: 1
• time: -1
electrical resistance
6
6599 variable V
$$V$$
real
• electric charge: -1
• length: 2
• mass: 1
• time: -2
voltage
11
6682 variable C_V
$$C_V$$
real
• length: 2
• mass: 1
• temperature: -1
• time: -2
heat capacity at constant volume
2
$$r_{\rm adsorption}$$
real
• time: -1
2
6694 variable dv
$$dv$$
real dimensionless differential of v
• str_note
0
6709 variable v_{\rm average}
$$v_{\rm average}$$
real
• length: 1
• time: -1
velocity average
2
6722 variable du
$$du$$
real dimensionless differential of u
• str_note
0
6728 variable z
$$z$$
['real']
• length: 1
position
5
6777 variable \vec{F}
$$\vec{F}$$
real dimensionless force
1
6789 variable W
$$W$$
real
• length: 2
• mass: 1
• time: -2
work
10
6799 variable {\cal H}
$${\cal H}$$
complex dimensionless operator
1
$$k_{\rm adsorption}$$
real dimensionless constant of forward adsorption reaction
10
7055 variable a_y
$$a_y$$
real
• length: 1
• time: -2
acceleration along y axis
4
7092 variable y_f
$$y_f$$
['real']
• length: 1
final position on y axis 3
7110 variable r_{\rm geostationary\ orbit}
$$r_{\rm geostationary\ orbit}$$
real
• length: 1
2
7159 variable a_x
$$a_x$$
real
• length: 1
• time: -2
acceleration along x axis
4
7343 variable T
$$T$$
real
• temperature: 1
temperature
18
7394 variable \vec{k}
$$\vec{k}$$
real
• length: -1
wavenumber
1
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
7545 variable \theta_2
$$\theta_2$$
real dimensionless angle
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
7586 variable V
$$V$$
real
• length: 3
volume
15
7652 variable d_1
$$d_1$$
real
• length: 1
distance
8
7752 variable a_{\beta}
$$a_{\beta}$$
complex dimensionless none
5
7882 variable I
$$I$$
['real']
• mass: 1
• time: -3
intensity
9
7930 variable m
$$m$$
integer dimensionless index
• str_note
5
7940 constant \epsilon_0
$$\epsilon_0$$
real
• electric charge: 2
• length: -3
• mass: -1
• time: 2
vacuum permittivity, permittivity of free space or electric constant or the distributed capacitance of the vacuum 8.8541878128E-{12}   F/m
14
7984 variable i
$$i$$
integer dimensionless index
• str_note
1
8039 variable H
$$H$$
real
• length: 2
• mass: 1
• time: -2
enthalpy
0
8134 variable P
$$P$$
real
• length: -1
• mass: 1
• time: -2
pressure
13
8179 constant R
$$R$$
real
• amount of substance: -1
• length: 2
• mass: 1
• temperature: -1
• time: -2
ideal gas constant 8.31446261815324   Jâ‹…K^{âˆ’1} mol^{âˆ’1}
8
8251 variable I_{\rm coherent}
$$I_{\rm coherent}$$
['real']
• mass: 1
• time: -3
intensity of coherent waves
4
8257 variable V_1
$$V_1$$
real
• electric charge: -1
• length: 2
• mass: 1
• time: -2
voltage
3
8304 variable l
$$l$$
integer dimensionless index
• str_note
3
8330 variable \psi_0
$$\psi_0$$
complex dimensionless amplitude of wavefunction
• str_note
6
8339 variable \hat{x}
$$\hat{x}$$
real dimensionless unit vector
4
8349 variable \hat{x}_i
$$\hat{x}_i$$
real dimensionless ith unit vector
• str_note
3
8379 variable k_{\rm desorption}
$$k_{\rm desorption}$$
real dimensionless constant of backward desorption reaction
8
8586 variable \phi
$$\phi$$
['real'] dimensionless angle
10
8656 variable v_{\rm escape}
$$v_{\rm escape}$$
real
• length: 1
• time: -1
escape velocity
12
8697 variable R_1
$$R_1$$
real
• electric charge: -2
• length: 2
• mass: 1
• time: -1
electrical resistance
10
8721 variable V_2
$$V_2$$
real
• electric charge: -1
• length: 2
• mass: 1
• time: -2
voltage
3
8762 variable T_{\rm orbit}
$$T_{\rm orbit}$$
real
• time: 1
orbital period
14
8849 variable PE_2
$$PE_2$$
real
• length: 2
• mass: 1
• time: -2
potential energy
11
8909 variable v_{\rm final}
$$v_{\rm final}$$
real
• length: 1
• time: -1
final velocity
9
9046 variable p_A
$$p_A$$
real dimensionless partial pressure of A over the surface
15
9067 variable [S]
$$[S]$$
real
• amount of substance: 1
• length: -2
concentration of free sites in number per square meter
7
9107 variable v_y
$$v_y$$
real
• length: 1
• time: -1
velocity along y axis
• str_note
7
9139 variable a
$$a$$
['real'] dimensionless 45
9140 variable a
$$a$$
['real']
• length: 1
• time: -2
acceleration 31
9189 variable \omega_{\rm Debye}
$$\omega_{\rm Debye}$$
real dimensionless Debye frequency
0
9199 variable dx
$$dx$$
['real']
• length: 1
15
9329 variable |\psi \rangle
$$|\psi \rangle$$
complex dimensionless ket
1
9372 variable W_{\rm to\ system}
$$W_{\rm to\ system}$$
real
• length: 2
• mass: 1
• time: -2
work done to system
8
9398 variable dW
$$dW$$
real
• length: 2
• mass: 1
• time: -2
differential work
• str_note
2
9431 variable v_{0, y}
$$v_{0, y}$$
['real']
• length: 1
• time: -1
initial velocity along y axis
12
9432 variable Q
$$Q$$
real
• length: 2
• mass: 1
• time: -2
heat flow
1
9472 variable \vec{r}
$$\vec{r}$$
real
• length: 1
• str_note
24
9489 variable \psi
$$\psi$$
complex dimensionless none
• str_note
27
9491 variable T
$$T$$
['real']
• time: 1
period 20
9647 variable I_{\rm total}
$$I_{\rm total}$$
real
• electric charge: 1
• time: -1
electric current
4
9669 variable \delta
$$\delta$$
real dimensionless Kronecker delta
0
9690 variable k
$$k$$
integer dimensionless index
• str_note
4
9838 variable E_{\rm Rydberg}
$$E_{\rm Rydberg}$$
real dimensionless Rydberg energy
2
9843 variable \mu_{JT}
$$\mu_{JT}$$
real
• length: 1
• mass: -1
• temperature: 1
• time: 2
Joule-Thomson coefficient
0
9863 variable m
$$m$$
real
• mass: 1
mass of atom or molecule
8
9885 variable A
$$A$$
real dimensionless amplitude
4
Physics Derivation Graph: 227 Symbols

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