Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
8
keys
stringlengths
10
106
symbols
stringlengths
3
29
domains
stringclasses
62 values
pi
stringlengths
3
46
equation
stringlengths
10
59
name
stringclasses
19 values
n_const
int64
0
4
n_domains
int64
1
6
max_exp
int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
6
amount,charge,concentration,efield,mass,time
m·t·q·E_f·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·q⁻³·E_f⁻³·n·c_n⁻¹
n = k₀ · m⁻³·t⁶·q³·E_f³·c_n
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "charge": "-3", "efield": "-3", "amount": "1", "concentration": "-1"}
6
amount,charge,efield,mass,molar_energy,time
m·t·q·E_f·n·E_m
chemistry,em,mechanics
m·t⁻²·q⁻²·E_f⁻²·n·E_m
m = k₀ · t²·q²·E_f²·n⁻¹·E_m⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "charge": "-2", "efield": "-2", "amount": "1", "molar_energy": "1"}
6
charge,concentration,efield,mass,molar_mass,time
m·t·q·E_f·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻⁶·q⁻³·E_f⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁶·q⁻³·E_f⁻³·c_n⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "4", "time": "-6", "charge": "-3", "efield": "-3", "molar_mass": "-1", "concentration": "-1"}
6
charge,efield,mass,molar_energy,molar_mass,time
m·t·q·E_f·M_m·E_m
chemistry,em,mechanics
m²·t⁻²·q⁻²·E_f⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻²·q⁻²·E_f⁻²·E_m
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "time": "-2", "charge": "-2", "efield": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
charge,concentration,efield,mass,molar_energy,time
m·t·q·E_f·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁴·q⁻¹·E_f⁻¹·c_n⁻¹·E_m⁻¹
q = k₀ · m²·t⁻⁴·E_f⁻¹·c_n⁻¹·E_m⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "time": "-4", "charge": "-1", "efield": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,charge,concentration,efield,gas_constant,mass,time
m·t·q·E_f·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·q⁻³·E_f⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁶·q⁻³·E_f⁻³·R⁻¹·k_B
null
1
4
6
18
17
-8.5
false
{"mass": "3", "time": "-6", "charge": "-3", "efield": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,charge,concentration,efield,mass,time
m·t·q·E_f·c_n·z
chemistry,em,mechanics
m³·t⁻⁵·q⁻³·E_f⁻³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁵·q⁻³·E_f⁻³·z
null
0
3
5
16
14.2
-5.2
false
{"mass": "3", "time": "-5", "charge": "-3", "efield": "-3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,charge,concentration,efield,mass,time
m·t·q·E_f·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·q⁻³·E_f⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁶·q⁻³·E_f⁻³·N_A⁻¹
null
1
4
6
17
16
-7.5
false
{"mass": "3", "time": "-6", "charge": "-3", "efield": "-3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,charge,efield,gas_constant,mass,molar_energy,time
m·t·q·E_f·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·q⁻²·E_f⁻²·E_m·R⁻¹·k_B
m = k₀ · t²·q²·E_f²·E_m⁻¹·R·k_B⁻¹
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "-2", "charge": "-2", "efield": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,charge,efield,mass,molar_energy,time
m·t·q·E_f·E_m·z
chemistry,em,mechanics
m·t⁻¹·q⁻²·E_f⁻²·E_m·z
m = k₀ · t·q²·E_f²·E_m⁻¹·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-1", "charge": "-2", "efield": "-2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,charge,efield,mass,molar_energy,time
m·t·q·E_f·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·q⁻²·E_f⁻²·E_m·N_A⁻¹
m = k₀ · t²·q²·E_f²·E_m⁻¹·N_A
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "charge": "-2", "efield": "-2", "molar_energy": "1", "avogadro": "-1"}
6
charge,efield,illuminance,lum_intensity,mass,time
m·t·q·E_f·I_v·E_v
em,mechanics,photometry
m²·t⁻⁴·q⁻²·E_f⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁴·q²·E_f²·E_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "charge": "-2", "efield": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
charge,efield,lum_intensity,luminance,mass,time
m·t·q·E_f·I_v·L_v
em,mechanics,photometry
m²·t⁻⁴·q⁻²·E_f⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁴·q²·E_f²·L_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "charge": "-2", "efield": "-2", "lum_intensity": "1", "luminance": "-1"}
5
charge,efield,light_speed,mass,time
m·t·q·E_f·c₀
constants,em,mechanics
m·t⁻¹·q⁻¹·E_f⁻¹·c₀
m = k₀ · t·q·E_f·c₀⁻¹
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "charge": "-1", "efield": "-1", "light_speed": "1"}
5
charge,efield,grav_const,mass,time
m·t·q·E_f·G
constants,em,mechanics
m⁴·t⁻⁴·q⁻³·E_f⁻³·G
G = k₀ · m⁻⁴·t⁴·q³·E_f³
null
1
3
4
15
12.7
-3.7
false
{"mass": "4", "time": "-4", "charge": "-3", "efield": "-3", "grav_const": "1"}
5
charge,efield,mass,planck,time
m·t·q·E_f·h
constants,em,mechanics
m·t⁻³·q⁻²·E_f⁻²·h
m = k₀ · t³·q²·E_f²·h⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "charge": "-2", "efield": "-2", "planck": "1"}
4
bfield,charge,mass,time
m·t·q·B
em,mechanics
m·t⁻¹·q⁻¹·B⁻¹
m = k₀ · t·q·B
null
0
2
1
4
2.6
6.9
true
{"mass": "1", "time": "-1", "charge": "-1", "bfield": "-1"}
5
charge,mag_flux,mass,permittivity,time
m·t·q·Φ·ε
em,mechanics
m·t·q·Φ⁻³·ε⁻²
m = k₀ · t⁻¹·q⁻¹·Φ³·ε²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "1", "charge": "1", "mag_flux": "-3", "permittivity": "-2"}
5
charge,mag_flux,mass,permeability,time
m·t·q·Φ·μ₀
em,mechanics
m·t·q⁻³·Φ·μ₀⁻²
m = k₀ · t⁻¹·q³·Φ⁻¹·μ₀²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "1", "charge": "-3", "mag_flux": "1", "permeability": "-2"}
5
charge,conductivity,mag_flux,mass,time
m·t·q·Φ·σ
em,mechanics
m·t⁻¹·q·Φ⁻³·σ⁻²
m = k₀ · t·q⁻¹·Φ³·σ²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-1", "charge": "1", "mag_flux": "-3", "conductivity": "-2"}
5
charge,mag_flux,mass,resistivity,time
m·t·q·Φ·ρ_e
em,mechanics
m·t⁻¹·q·Φ⁻³·ρ_e²
m = k₀ · t·q⁻¹·Φ³·ρ_e⁻²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-1", "charge": "1", "mag_flux": "-3", "resistivity": "2"}
6
amount,charge,concentration,mag_flux,mass,time
m·t·q·Φ·n·c_n
chemistry,em,mechanics
m³·t⁻³·q⁻³·Φ⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³ᐟ²·q³ᐟ²·Φ³ᐟ²·c_n
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "time": "-3", "charge": "-3", "mag_flux": "-3", "amount": "2", "concentration": "-2"}
6
charge,concentration,mag_flux,mass,molar_mass,time
m·t·q·Φ·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻³·q⁻³·Φ⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·q⁻³ᐟ²·Φ⁻³ᐟ²·c_n⁻¹
null
0
3
5
18
15.6
-6.6
false
{"mass": "5", "time": "-3", "charge": "-3", "mag_flux": "-3", "molar_mass": "-2", "concentration": "-2"}
6
charge,mag_flux,mass,molar_energy,molar_mass,time
m·t·q·Φ·M_m·E_m
chemistry,em,mechanics
m·t·q⁻¹·Φ⁻¹·M_m⁻¹·E_m
m = k₀ · t⁻¹·q·Φ·M_m·E_m⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "charge": "-1", "mag_flux": "-1", "molar_mass": "-1", "molar_energy": "1"}
6
charge,concentration,mag_flux,mass,molar_energy,time
m·t·q·Φ·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁵·q⁻¹·Φ⁻¹·c_n⁻²·E_m⁻²
q = k₀ · m³·t⁻⁵·Φ⁻¹·c_n⁻²·E_m⁻²
null
0
3
5
14
12.8
-3.8
false
{"mass": "3", "time": "-5", "charge": "-1", "mag_flux": "-1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,charge,concentration,gas_constant,mag_flux,mass,time
m·t·q·Φ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻³·q⁻³·Φ⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·q⁻³ᐟ²·Φ⁻³ᐟ²·R⁻¹·k_B
null
1
4
3
18
15.5
-7
false
{"mass": "3", "time": "-3", "charge": "-3", "mag_flux": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,charge,concentration,mag_flux,mass,time
m·t·q·Φ·c_n·z
chemistry,em,mechanics
m³·t⁻¹·q⁻³·Φ⁻³·c_n⁻²·z²
t = k₀ · m³·q⁻³·Φ⁻³·c_n⁻²·z²
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "time": "-1", "charge": "-3", "mag_flux": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,charge,concentration,mag_flux,mass,time
m·t·q·Φ·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻³·q⁻³·Φ⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·q⁻³ᐟ²·Φ⁻³ᐟ²·N_A⁻¹
null
1
4
3
16
13.8
-5.3
false
{"mass": "3", "time": "-3", "charge": "-3", "mag_flux": "-3", "concentration": "-2", "avogadro": "-2"}
6
charge,illuminance,lum_intensity,mag_flux,mass,time
m·t·q·Φ·I_v·E_v
em,mechanics,photometry
m·t⁻¹·q⁻¹·Φ⁻¹·I_v·E_v⁻¹
m = k₀ · t·q·Φ·I_v⁻¹·E_v
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "charge": "-1", "mag_flux": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
charge,lum_intensity,luminance,mag_flux,mass,time
m·t·q·Φ·I_v·L_v
em,mechanics,photometry
m·t⁻¹·q⁻¹·Φ⁻¹·I_v·L_v⁻¹
m = k₀ · t·q·Φ·I_v⁻¹·L_v
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "charge": "-1", "mag_flux": "-1", "lum_intensity": "1", "luminance": "-1"}
5
charge,light_speed,mag_flux,mass,time
m·t·q·Φ·c₀
constants,em,mechanics
m·t·q⁻¹·Φ⁻¹·c₀²
m = k₀ · t⁻¹·q·Φ·c₀⁻²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "charge": "-1", "mag_flux": "-1", "light_speed": "2"}
5
charge,grav_const,mag_flux,mass,time
m·t·q·Φ·G
constants,em,mechanics
m⁵·t·q⁻³·Φ⁻³·G²
t = k₀ · m⁻⁵·q³·Φ³·G⁻²
null
1
3
5
14
12.5
-3.5
false
{"mass": "5", "time": "1", "charge": "-3", "mag_flux": "-3", "grav_const": "2"}
5
charge,mass,permeability,permittivity,time
m·t·q·ε·μ₀
em,mechanics
m²·t²·q⁻⁴·ε⁻¹·μ₀⁻³
ε = k₀ · m²·t²·q⁻⁴·μ₀⁻³
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "2", "charge": "-4", "permittivity": "-1", "permeability": "-3"}
6
amount,charge,concentration,mass,permittivity,time
m·t·q·ε·n·c_n
chemistry,em,mechanics
m·t⁻²·q⁻²·ε·n·c_n⁻¹
m = k₀ · t²·q²·ε⁻¹·n⁻¹·c_n
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "charge": "-2", "permittivity": "1", "amount": "1", "concentration": "-1"}
6
amount,charge,mass,molar_energy,permittivity,time
m·t·q·ε·n·E_m
chemistry,em,mechanics
m·t⁻²·q⁴·ε⁻²·n⁻³·E_m⁻³
m = k₀ · t²·q⁻⁴·ε²·n³·E_m³
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "charge": "4", "permittivity": "-2", "amount": "-3", "molar_energy": "-3"}
6
charge,concentration,mass,molar_mass,permittivity,time
m·t·q·ε·M_m·c_n
chemistry,em,mechanics
m²·t⁻²·q⁻²·ε·M_m⁻¹·c_n⁻¹
ε = k₀ · m⁻²·t²·q²·M_m·c_n
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "charge": "-2", "permittivity": "1", "molar_mass": "-1", "concentration": "-1"}
6
charge,mass,molar_energy,molar_mass,permittivity,time
m·t·q·ε·M_m·E_m
chemistry,em,mechanics
m²·t²·q⁻⁴·ε²·M_m⁻³·E_m³
m = k₀ · t⁻¹·q²·ε⁻¹·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "2", "charge": "-4", "permittivity": "2", "molar_mass": "-3", "molar_energy": "3"}
6
charge,concentration,mass,molar_energy,permittivity,time
m·t·q·ε·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻⁸·q⁻²·ε·c_n⁻³·E_m⁻³
ε = k₀ · m⁻⁴·t⁸·q²·c_n³·E_m³
null
0
3
8
21
19.2
-10.2
false
{"mass": "4", "time": "-8", "charge": "-2", "permittivity": "1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,charge,concentration,gas_constant,mass,permittivity,time
m·t·q·ε·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·q⁻²·ε·c_n⁻¹·R⁻¹·k_B
m = k₀ · t²·q²·ε⁻¹·c_n·R·k_B⁻¹
null
1
4
2
9
8.7
-0.2
false
{"mass": "1", "time": "-2", "charge": "-2", "permittivity": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,charge,concentration,mass,permittivity,time
m·t·q·ε·c_n·z
chemistry,em,mechanics
m·t⁻¹·q⁻²·ε·c_n⁻¹·z
m = k₀ · t·q²·ε⁻¹·c_n·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "charge": "-2", "permittivity": "1", "concentration": "-1", "cat_activity": "1"}
6
avogadro,charge,concentration,mass,permittivity,time
m·t·q·ε·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻²·q⁻²·ε·c_n⁻¹·N_A⁻¹
m = k₀ · t²·q²·ε⁻¹·c_n·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "-2", "charge": "-2", "permittivity": "1", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,charge,gas_constant,mass,molar_energy,permittivity,time
m·t·q·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·q⁴·ε⁻²·E_m⁻³·R³·k_B⁻³
m = k₀ · t²·q⁻⁴·ε²·E_m³·R⁻³·k_B³
null
1
4
4
18
16
-7.5
false
{"mass": "1", "time": "-2", "charge": "4", "permittivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
6
cat_activity,charge,mass,molar_energy,permittivity,time
m·t·q·ε·E_m·z
chemistry,em,mechanics
m·t⁻⁵·q⁴·ε⁻²·E_m⁻³·z⁻³
m = k₀ · t⁵·q⁻⁴·ε²·E_m³·z³
null
0
3
5
18
15.6
-6.6
false
{"mass": "1", "time": "-5", "charge": "4", "permittivity": "-2", "molar_energy": "-3", "cat_activity": "-3"}
6
avogadro,charge,mass,molar_energy,permittivity,time
m·t·q·ε·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·q⁴·ε⁻²·E_m⁻³·N_A³
m = k₀ · t²·q⁻⁴·ε²·E_m³·N_A⁻³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "time": "-2", "charge": "4", "permittivity": "-2", "molar_energy": "-3", "avogadro": "3"}
6
charge,illuminance,lum_intensity,mass,permittivity,time
m·t·q·ε·I_v·E_v
em,mechanics,photometry
m²·t⁻⁴·q⁻⁴·ε²·I_v³·E_v⁻³
m = k₀ · t²·q²·ε⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "-4", "charge": "-4", "permittivity": "2", "lum_intensity": "3", "illuminance": "-3"}
6
charge,lum_intensity,luminance,mass,permittivity,time
m·t·q·ε·I_v·L_v
em,mechanics,photometry
m²·t⁻⁴·q⁻⁴·ε²·I_v³·L_v⁻³
m = k₀ · t²·q²·ε⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "-4", "charge": "-4", "permittivity": "2", "lum_intensity": "3", "luminance": "-3"}
5
charge,light_speed,mass,permittivity,time
m·t·q·ε·c₀
constants,em,mechanics
m·t·q⁻²·ε·c₀³
m = k₀ · t⁻¹·q²·ε⁻¹·c₀⁻³
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "1", "charge": "-2", "permittivity": "1", "light_speed": "3"}
5
charge,mass,permittivity,planck,time
m·t·q·ε·h
constants,em,mechanics
m·t·q⁴·ε⁻²·h⁻³
m = k₀ · t⁻¹·q⁻⁴·ε²·h³
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "1", "charge": "4", "permittivity": "-2", "planck": "-3"}
5
charge,conductivity,mass,permeability,time
m·t·q·μ₀·σ
em,mechanics
m²·t·q⁻⁴·μ₀⁻³·σ⁻¹
t = k₀ · m⁻²·q⁴·μ₀³·σ
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "time": "1", "charge": "-4", "permeability": "-3", "conductivity": "-1"}
5
charge,mass,permeability,resistivity,time
m·t·q·μ₀·ρ_e
em,mechanics
m²·t·q⁻⁴·μ₀⁻³·ρ_e
t = k₀ · m⁻²·q⁴·μ₀³·ρ_e⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "time": "1", "charge": "-4", "permeability": "-3", "resistivity": "1"}
6
amount,charge,mass,molar_energy,permeability,time
m·t·q·μ₀·n·E_m
chemistry,em,mechanics
m·t²·q⁻⁴·μ₀⁻²·n·E_m
m = k₀ · t⁻²·q⁴·μ₀²·n⁻¹·E_m⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "charge": "-4", "permeability": "-2", "amount": "1", "molar_energy": "1"}
6
charge,mass,molar_energy,molar_mass,permeability,time
m·t·q·μ₀·M_m·E_m
chemistry,em,mechanics
m²·t²·q⁻⁴·μ₀⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t²·q⁻⁴·μ₀⁻²·E_m
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "2", "charge": "-4", "permeability": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
charge,concentration,mass,molar_energy,permeability,time
m·t·q·μ₀·c_n·E_m
chemistry,em,mechanics
m²·t⁻²·q⁻²·μ₀⁻¹·c_n⁻¹·E_m⁻¹
μ₀ = k₀ · m²·t⁻²·q⁻²·c_n⁻¹·E_m⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "charge": "-2", "permeability": "-1", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,charge,concentration,mass,permeability,time
m·t·q·μ₀·c_n·z
chemistry,em,mechanics
m³·t·q⁻⁶·μ₀⁻³·c_n⁻¹·z
t = k₀ · m⁻³·q⁶·μ₀³·c_n·z⁻¹
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "1", "charge": "-6", "permeability": "-3", "concentration": "-1", "cat_activity": "1"}
7
boltzmann,charge,gas_constant,mass,molar_energy,permeability,time
m·t·q·μ₀·E_m·R·k_B
chemistry,constants,em,mechanics
m·t²·q⁻⁴·μ₀⁻²·E_m·R⁻¹·k_B
m = k₀ · t⁻²·q⁴·μ₀²·E_m⁻¹·R·k_B⁻¹
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "2", "charge": "-4", "permeability": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,charge,mass,molar_energy,permeability,time
m·t·q·μ₀·E_m·z
chemistry,em,mechanics
m·t³·q⁻⁴·μ₀⁻²·E_m·z
m = k₀ · t⁻³·q⁴·μ₀²·E_m⁻¹·z⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "3", "charge": "-4", "permeability": "-2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,charge,mass,molar_energy,permeability,time
m·t·q·μ₀·E_m·N_A
chemistry,constants,em,mechanics
m·t²·q⁻⁴·μ₀⁻²·E_m·N_A⁻¹
m = k₀ · t⁻²·q⁴·μ₀²·E_m⁻¹·N_A
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "2", "charge": "-4", "permeability": "-2", "molar_energy": "1", "avogadro": "-1"}
5
charge,light_speed,mass,permeability,time
m·t·q·μ₀·c₀
constants,em,mechanics
m·t·q⁻²·μ₀⁻¹·c₀
m = k₀ · t⁻¹·q²·μ₀·c₀⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "charge": "-2", "permeability": "-1", "light_speed": "1"}
5
charge,grav_const,mass,permeability,time
m·t·q·μ₀·G
constants,em,mechanics
m⁴·t²·q⁻⁶·μ₀⁻³·G
G = k₀ · m⁻⁴·t⁻²·q⁶·μ₀³
null
1
3
6
16
14.4
-5.4
false
{"mass": "4", "time": "2", "charge": "-6", "permeability": "-3", "grav_const": "1"}
5
charge,mass,permeability,planck,time
m·t·q·μ₀·h
constants,em,mechanics
m·t·q⁻⁴·μ₀⁻²·h
m = k₀ · t⁻¹·q⁴·μ₀²·h⁻¹
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "time": "1", "charge": "-4", "permeability": "-2", "planck": "1"}
6
amount,charge,concentration,conductivity,mass,time
m·t·q·σ·n·c_n
chemistry,em,mechanics
m·t⁻¹·q⁻²·σ·n·c_n⁻¹
m = k₀ · t·q²·σ⁻¹·n⁻¹·c_n
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "charge": "-2", "conductivity": "1", "amount": "1", "concentration": "-1"}
6
amount,charge,conductivity,mass,molar_energy,time
m·t·q·σ·n·E_m
chemistry,em,mechanics
m·t⁻⁴·q⁴·σ⁻²·n⁻³·E_m⁻³
m = k₀ · t⁴·q⁻⁴·σ²·n³·E_m³
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "charge": "4", "conductivity": "-2", "amount": "-3", "molar_energy": "-3"}
6
charge,concentration,conductivity,mass,molar_mass,time
m·t·q·σ·M_m·c_n
chemistry,em,mechanics
m²·t⁻¹·q⁻²·σ·M_m⁻¹·c_n⁻¹
t = k₀ · m²·q⁻²·σ·M_m⁻¹·c_n⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "time": "-1", "charge": "-2", "conductivity": "1", "molar_mass": "-1", "concentration": "-1"}
6
charge,conductivity,mass,molar_energy,molar_mass,time
m·t·q·σ·M_m·E_m
chemistry,em,mechanics
m²·t⁴·q⁻⁴·σ²·M_m⁻³·E_m³
m = k₀ · t⁻²·q²·σ⁻¹·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "4", "charge": "-4", "conductivity": "2", "molar_mass": "-3", "molar_energy": "3"}
6
charge,concentration,conductivity,mass,molar_energy,time
m·t·q·σ·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻⁷·q⁻²·σ·c_n⁻³·E_m⁻³
σ = k₀ · m⁻⁴·t⁷·q²·c_n³·E_m³
null
0
3
7
20
18
-9
false
{"mass": "4", "time": "-7", "charge": "-2", "conductivity": "1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,charge,concentration,conductivity,gas_constant,mass,time
m·t·q·σ·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻¹·q⁻²·σ·c_n⁻¹·R⁻¹·k_B
m = k₀ · t·q²·σ⁻¹·c_n·R·k_B⁻¹
null
1
4
2
8
8
0.5
false
{"mass": "1", "time": "-1", "charge": "-2", "conductivity": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
avogadro,charge,concentration,conductivity,mass,time
m·t·q·σ·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻¹·q⁻²·σ·c_n⁻¹·N_A⁻¹
m = k₀ · t·q²·σ⁻¹·c_n·N_A
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-1", "charge": "-2", "conductivity": "1", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,charge,conductivity,gas_constant,mass,molar_energy,time
m·t·q·σ·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·q⁴·σ⁻²·E_m⁻³·R³·k_B⁻³
m = k₀ · t⁴·q⁻⁴·σ²·E_m³·R⁻³·k_B³
null
1
4
4
20
17.4
-8.9
false
{"mass": "1", "time": "-4", "charge": "4", "conductivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
6
cat_activity,charge,conductivity,mass,molar_energy,time
m·t·q·σ·E_m·z
chemistry,em,mechanics
m·t⁻⁷·q⁴·σ⁻²·E_m⁻³·z⁻³
m = k₀ · t⁷·q⁻⁴·σ²·E_m³·z³
null
0
3
7
20
18
-9
false
{"mass": "1", "time": "-7", "charge": "4", "conductivity": "-2", "molar_energy": "-3", "cat_activity": "-3"}
6
avogadro,charge,conductivity,mass,molar_energy,time
m·t·q·σ·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·q⁴·σ⁻²·E_m⁻³·N_A³
m = k₀ · t⁴·q⁻⁴·σ²·E_m³·N_A⁻³
null
1
4
4
17
15
-6.5
false
{"mass": "1", "time": "-4", "charge": "4", "conductivity": "-2", "molar_energy": "-3", "avogadro": "3"}
6
charge,conductivity,illuminance,lum_intensity,mass,time
m·t·q·σ·I_v·E_v
em,mechanics,photometry
m²·t⁻²·q⁻⁴·σ²·I_v³·E_v⁻³
m = k₀ · t·q²·σ⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "charge": "-4", "conductivity": "2", "lum_intensity": "3", "illuminance": "-3"}
6
charge,conductivity,lum_intensity,luminance,mass,time
m·t·q·σ·I_v·L_v
em,mechanics,photometry
m²·t⁻²·q⁻⁴·σ²·I_v³·L_v⁻³
m = k₀ · t·q²·σ⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "charge": "-4", "conductivity": "2", "lum_intensity": "3", "luminance": "-3"}
5
charge,conductivity,light_speed,mass,time
m·t·q·σ·c₀
constants,em,mechanics
m·t²·q⁻²·σ·c₀³
m = k₀ · t⁻²·q²·σ⁻¹·c₀⁻³
null
1
3
3
9
8
1
false
{"mass": "1", "time": "2", "charge": "-2", "conductivity": "1", "light_speed": "3"}
5
charge,conductivity,grav_const,mass,time
m·t·q·σ·G
constants,em,mechanics
m²·t·q⁻²·σ·G
t = k₀ · m⁻²·q²·σ⁻¹·G⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "1", "charge": "-2", "conductivity": "1", "grav_const": "1"}
5
charge,conductivity,mass,planck,time
m·t·q·σ·h
constants,em,mechanics
m·t⁻¹·q⁴·σ⁻²·h⁻³
m = k₀ · t·q⁻⁴·σ²·h³
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-1", "charge": "4", "conductivity": "-2", "planck": "-3"}
6
amount,charge,concentration,mass,resistivity,time
m·t·q·ρ_e·n·c_n
chemistry,em,mechanics
m·t⁻¹·q⁻²·ρ_e⁻¹·n·c_n⁻¹
m = k₀ · t·q²·ρ_e·n⁻¹·c_n
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "charge": "-2", "resistivity": "-1", "amount": "1", "concentration": "-1"}
6
amount,charge,mass,molar_energy,resistivity,time
m·t·q·ρ_e·n·E_m
chemistry,em,mechanics
m·t⁻⁴·q⁴·ρ_e²·n⁻³·E_m⁻³
m = k₀ · t⁴·q⁻⁴·ρ_e⁻²·n³·E_m³
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "charge": "4", "resistivity": "2", "amount": "-3", "molar_energy": "-3"}
6
charge,concentration,mass,molar_mass,resistivity,time
m·t·q·ρ_e·M_m·c_n
chemistry,em,mechanics
m²·t⁻¹·q⁻²·ρ_e⁻¹·M_m⁻¹·c_n⁻¹
t = k₀ · m²·q⁻²·ρ_e⁻¹·M_m⁻¹·c_n⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "time": "-1", "charge": "-2", "resistivity": "-1", "molar_mass": "-1", "concentration": "-1"}
6
charge,mass,molar_energy,molar_mass,resistivity,time
m·t·q·ρ_e·M_m·E_m
chemistry,em,mechanics
m²·t⁴·q⁻⁴·ρ_e⁻²·M_m⁻³·E_m³
m = k₀ · t⁻²·q²·ρ_e·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "4", "charge": "-4", "resistivity": "-2", "molar_mass": "-3", "molar_energy": "3"}
6
charge,concentration,mass,molar_energy,resistivity,time
m·t·q·ρ_e·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻⁷·q⁻²·ρ_e⁻¹·c_n⁻³·E_m⁻³
ρ_e = k₀ · m⁴·t⁻⁷·q⁻²·c_n⁻³·E_m⁻³
null
0
3
7
20
18
-9
false
{"mass": "4", "time": "-7", "charge": "-2", "resistivity": "-1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,charge,concentration,gas_constant,mass,resistivity,time
m·t·q·ρ_e·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻¹·q⁻²·ρ_e⁻¹·c_n⁻¹·R⁻¹·k_B
m = k₀ · t·q²·ρ_e·c_n·R·k_B⁻¹
null
1
4
2
8
8
0.5
false
{"mass": "1", "time": "-1", "charge": "-2", "resistivity": "-1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
avogadro,charge,concentration,mass,resistivity,time
m·t·q·ρ_e·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻¹·q⁻²·ρ_e⁻¹·c_n⁻¹·N_A⁻¹
m = k₀ · t·q²·ρ_e·c_n·N_A
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-1", "charge": "-2", "resistivity": "-1", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,charge,gas_constant,mass,molar_energy,resistivity,time
m·t·q·ρ_e·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·q⁴·ρ_e²·E_m⁻³·R³·k_B⁻³
m = k₀ · t⁴·q⁻⁴·ρ_e⁻²·E_m³·R⁻³·k_B³
null
1
4
4
20
17.4
-8.9
false
{"mass": "1", "time": "-4", "charge": "4", "resistivity": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
6
cat_activity,charge,mass,molar_energy,resistivity,time
m·t·q·ρ_e·E_m·z
chemistry,em,mechanics
m·t⁻⁷·q⁴·ρ_e²·E_m⁻³·z⁻³
m = k₀ · t⁷·q⁻⁴·ρ_e⁻²·E_m³·z³
null
0
3
7
20
18
-9
false
{"mass": "1", "time": "-7", "charge": "4", "resistivity": "2", "molar_energy": "-3", "cat_activity": "-3"}
6
avogadro,charge,mass,molar_energy,resistivity,time
m·t·q·ρ_e·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·q⁴·ρ_e²·E_m⁻³·N_A³
m = k₀ · t⁴·q⁻⁴·ρ_e⁻²·E_m³·N_A⁻³
null
1
4
4
17
15
-6.5
false
{"mass": "1", "time": "-4", "charge": "4", "resistivity": "2", "molar_energy": "-3", "avogadro": "3"}
6
charge,illuminance,lum_intensity,mass,resistivity,time
m·t·q·ρ_e·I_v·E_v
em,mechanics,photometry
m²·t⁻²·q⁻⁴·ρ_e⁻²·I_v³·E_v⁻³
m = k₀ · t·q²·ρ_e·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "charge": "-4", "resistivity": "-2", "lum_intensity": "3", "illuminance": "-3"}
6
charge,lum_intensity,luminance,mass,resistivity,time
m·t·q·ρ_e·I_v·L_v
em,mechanics,photometry
m²·t⁻²·q⁻⁴·ρ_e⁻²·I_v³·L_v⁻³
m = k₀ · t·q²·ρ_e·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "charge": "-4", "resistivity": "-2", "lum_intensity": "3", "luminance": "-3"}
5
charge,light_speed,mass,resistivity,time
m·t·q·ρ_e·c₀
constants,em,mechanics
m·t²·q⁻²·ρ_e⁻¹·c₀³
m = k₀ · t⁻²·q²·ρ_e·c₀⁻³
null
1
3
3
9
8
1
false
{"mass": "1", "time": "2", "charge": "-2", "resistivity": "-1", "light_speed": "3"}
5
charge,grav_const,mass,resistivity,time
m·t·q·ρ_e·G
constants,em,mechanics
m²·t·q⁻²·ρ_e⁻¹·G
t = k₀ · m⁻²·q²·ρ_e·G⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "1", "charge": "-2", "resistivity": "-1", "grav_const": "1"}
5
charge,mass,planck,resistivity,time
m·t·q·ρ_e·h
constants,em,mechanics
m·t⁻¹·q⁴·ρ_e²·h⁻³
m = k₀ · t·q⁻⁴·ρ_e⁻²·h³
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-1", "charge": "4", "resistivity": "2", "planck": "-3"}
5
current,efield,mass,time,voltage
m·t·i·U·E_f
em,mechanics
m·t⁻³·i⁻¹·U·E_f⁻²
m = k₀ · t³·i·U⁻¹·E_f²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "current": "-1", "voltage": "1", "efield": "-2"}
5
current,mass,permittivity,time,voltage
m·t·i·U·ε
em,mechanics
m·t⁻¹·i·U⁻³·ε⁻²
m = k₀ · t·i⁻¹·U³·ε²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-1", "current": "1", "voltage": "-3", "permittivity": "-2"}
5
current,mass,permeability,time,voltage
m·t·i·U·μ₀
em,mechanics
m·t⁻¹·i⁻³·U·μ₀⁻²
m = k₀ · t·i³·U⁻¹·μ₀²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-1", "current": "-3", "voltage": "1", "permeability": "-2"}
5
conductivity,current,mass,time,voltage
m·t·i·U·σ
em,mechanics
m·t⁻³·i·U⁻³·σ⁻²
m = k₀ · t³·i⁻¹·U³·σ²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "-3", "current": "1", "voltage": "-3", "conductivity": "-2"}
5
current,mass,resistivity,time,voltage
m·t·i·U·ρ_e
em,mechanics
m·t⁻³·i·U⁻³·ρ_e²
m = k₀ · t³·i⁻¹·U³·ρ_e⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "-3", "current": "1", "voltage": "-3", "resistivity": "2"}
6
amount,concentration,current,mass,time,voltage
m·t·i·U·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·i⁻³·U⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t⁹ᐟ²·i³ᐟ²·U³ᐟ²·c_n
null
0
3
9
22
20.4
-11.4
false
{"mass": "3", "time": "-9", "current": "-3", "voltage": "-3", "amount": "2", "concentration": "-2"}
6
concentration,current,mass,molar_mass,time,voltage
m·t·i·U·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁹·i⁻³·U⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·i⁻³ᐟ²·U⁻³ᐟ²·c_n⁻¹
null
0
3
9
24
21.8
-12.8
false
{"mass": "5", "time": "-9", "current": "-3", "voltage": "-3", "molar_mass": "-2", "concentration": "-2"}
6
current,mass,molar_energy,molar_mass,time,voltage
m·t·i·U·M_m·E_m
chemistry,em,mechanics
m·t⁻¹·i⁻¹·U⁻¹·M_m⁻¹·E_m
m = k₀ · t·i·U·M_m·E_m⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "current": "-1", "voltage": "-1", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,current,mass,molar_energy,time,voltage
m·t·i·U·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁷·i⁻¹·U⁻¹·c_n⁻²·E_m⁻²
i = k₀ · m³·t⁻⁷·U⁻¹·c_n⁻²·E_m⁻²
null
0
3
7
16
15.2
-6.2
false
{"mass": "3", "time": "-7", "current": "-1", "voltage": "-1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,current,gas_constant,mass,time,voltage
m·t·i·U·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·i⁻³·U⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻⁹ᐟ²·i⁻³ᐟ²·U⁻³ᐟ²·R⁻¹·k_B
null
1
4
9
24
22.7
-14.2
false
{"mass": "3", "time": "-9", "current": "-3", "voltage": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}