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
5
efield,mag_flux,mass,permittivity,time
m·t·E_f·Φ·ε
em,mechanics
m·t⁻¹·E_f⁻¹·Φ⁻¹·ε⁻¹
m = k₀ · t·E_f·Φ·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "efield": "-1", "mag_flux": "-1", "permittivity": "-1"}
5
efield,mag_flux,mass,permeability,time
m·t·E_f·Φ·μ₀
em,mechanics
m·t⁻⁵·E_f⁻³·Φ·μ₀
m = k₀ · t⁵·E_f³·Φ⁻¹·μ₀⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "efield": "-3", "mag_flux": "1", "permeability": "1"}
5
conductivity,efield,mag_flux,mass,time
m·t·E_f·Φ·σ
em,mechanics
m·t⁻²·E_f⁻¹·Φ⁻¹·σ⁻¹
m = k₀ · t²·E_f·Φ·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "efield": "-1", "mag_flux": "-1", "conductivity": "-1"}
5
efield,mag_flux,mass,resistivity,time
m·t·E_f·Φ·ρ_e
em,mechanics
m·t⁻²·E_f⁻¹·Φ⁻¹·ρ_e
m = k₀ · t²·E_f·Φ·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "efield": "-1", "mag_flux": "-1", "resistivity": "1"}
6
amount,efield,mag_flux,mass,molar_energy,time
m·t·E_f·Φ·n·E_m
chemistry,em,mechanics
m·t⁻⁴·E_f⁻²·Φ²·n⁻¹·E_m⁻¹
m = k₀ · t⁴·E_f²·Φ⁻²·n·E_m
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "efield": "-2", "mag_flux": "2", "amount": "-1", "molar_energy": "-1"}
6
concentration,efield,mag_flux,mass,molar_mass,time
m·t·E_f·Φ·M_m·c_n
chemistry,em,mechanics
m·t³·E_f³·Φ⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁻³·E_f⁻³·Φ³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "3", "efield": "3", "mag_flux": "-3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,efield,mag_flux,mass,molar_energy,time
m·t·E_f·Φ·c_n·E_m
chemistry,em,mechanics
m·t⁻¹·E_f·Φ⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t·E_f⁻¹·Φ·c_n·E_m
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "efield": "1", "mag_flux": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,efield,gas_constant,mag_flux,mass,molar_energy,time
m·t·E_f·Φ·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·E_f⁻²·Φ²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁴·E_f²·Φ⁻²·E_m·R⁻¹·k_B
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "-4", "efield": "-2", "mag_flux": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,efield,mag_flux,mass,molar_energy,time
m·t·E_f·Φ·E_m·z
chemistry,em,mechanics
m·t⁻⁵·E_f⁻²·Φ²·E_m⁻¹·z⁻¹
m = k₀ · t⁵·E_f²·Φ⁻²·E_m·z
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "time": "-5", "efield": "-2", "mag_flux": "2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,efield,mag_flux,mass,molar_energy,time
m·t·E_f·Φ·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·E_f⁻²·Φ²·E_m⁻¹·N_A
m = k₀ · t⁴·E_f²·Φ⁻²·E_m·N_A⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "efield": "-2", "mag_flux": "2", "molar_energy": "-1", "avogadro": "1"}
5
efield,grav_const,mag_flux,mass,time
m·t·E_f·Φ·G
constants,em,mechanics
m·t⁵·E_f³·Φ⁻³·G
m = k₀ · t⁻⁵·E_f⁻³·Φ³·G⁻¹
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "time": "5", "efield": "3", "mag_flux": "-3", "grav_const": "1"}
5
efield,mag_flux,mass,planck,time
m·t·E_f·Φ·h
constants,em,mechanics
m·t⁻³·E_f⁻²·Φ²·h⁻¹
m = k₀ · t³·E_f²·Φ⁻²·h
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "efield": "-2", "mag_flux": "2", "planck": "-1"}
5
efield,elem_charge,mag_flux,mass,time
m·t·E_f·Φ·e
constants,em,mechanics
m·t⁻³·E_f⁻²·Φ·e⁻¹
m = k₀ · t³·E_f²·Φ⁻¹·e
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "efield": "-2", "mag_flux": "1", "elem_charge": "-1"}
5
efield,mass,permeability,permittivity,time
m·t·E_f·ε·μ₀
em,mechanics
m²·t⁻⁶·E_f⁻⁴·ε⁻¹·μ₀
ε = k₀ · m²·t⁻⁶·E_f⁻⁴·μ₀
null
0
2
6
14
12.4
-2.9
false
{"mass": "2", "time": "-6", "efield": "-4", "permittivity": "-1", "permeability": "1"}
6
amount,concentration,efield,mass,permittivity,time
m·t·E_f·ε·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·E_f⁻⁶·ε⁻³·n⁻¹·c_n
n = k₀ · m³·t⁻⁶·E_f⁻⁶·ε⁻³·c_n
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "efield": "-6", "permittivity": "-3", "amount": "-1", "concentration": "1"}
6
amount,efield,mass,molar_energy,permittivity,time
m·t·E_f·ε·n·E_m
chemistry,em,mechanics
m³·t⁻⁶·E_f⁻⁴·ε⁻²·n⁻¹·E_m⁻¹
n = k₀ · m³·t⁻⁶·E_f⁻⁴·ε⁻²·E_m⁻¹
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "efield": "-4", "permittivity": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,efield,mass,molar_mass,permittivity,time
m·t·E_f·ε·M_m·c_n
chemistry,em,mechanics
m²·t⁻⁶·E_f⁻⁶·ε⁻³·M_m·c_n
M_m = k₀ · m⁻²·t⁶·E_f⁶·ε³·c_n⁻¹
null
0
3
6
19
16.8
-7.8
false
{"mass": "2", "time": "-6", "efield": "-6", "permittivity": "-3", "molar_mass": "1", "concentration": "1"}
6
efield,mass,molar_energy,molar_mass,permittivity,time
m·t·E_f·ε·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁶·E_f⁻⁴·ε⁻²·M_m·E_m⁻¹
M_m = k₀ · m⁻²·t⁶·E_f⁴·ε²·E_m
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "efield": "-4", "permittivity": "-2", "molar_mass": "1", "molar_energy": "-1"}
7
boltzmann,concentration,efield,gas_constant,mass,permittivity,time
m·t·E_f·ε·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻⁶·ε⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·t⁶·E_f⁶·ε³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "time": "-6", "efield": "-6", "permittivity": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,efield,mass,permittivity,time
m·t·E_f·ε·c_n·z
chemistry,em,mechanics
m³·t⁻⁷·E_f⁻⁶·ε⁻³·c_n·z⁻¹
c_n = k₀ · m⁻³·t⁷·E_f⁶·ε³·z
null
0
3
7
21
18.7
-9.7
false
{"mass": "3", "time": "-7", "efield": "-6", "permittivity": "-3", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,efield,mass,permittivity,time
m·t·E_f·ε·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻⁶·ε⁻³·c_n·N_A
c_n = k₀ · m⁻³·t⁶·E_f⁶·ε³·N_A⁻¹
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "time": "-6", "efield": "-6", "permittivity": "-3", "concentration": "1", "avogadro": "1"}
7
boltzmann,efield,gas_constant,mass,molar_energy,permittivity,time
m·t·E_f·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻⁴·ε⁻²·E_m⁻¹·R·k_B⁻¹
E_m = k₀ · m³·t⁻⁶·E_f⁻⁴·ε⁻²·R·k_B⁻¹
null
1
4
6
18
17
-8.5
false
{"mass": "3", "time": "-6", "efield": "-4", "permittivity": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,efield,mass,molar_energy,permittivity,time
m·t·E_f·ε·E_m·z
chemistry,em,mechanics
m³·t⁻⁷·E_f⁻⁴·ε⁻²·E_m⁻¹·z⁻¹
E_m = k₀ · m³·t⁻⁷·E_f⁻⁴·ε⁻²·z⁻¹
null
0
3
7
18
16.6
-7.6
false
{"mass": "3", "time": "-7", "efield": "-4", "permittivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,efield,mass,molar_energy,permittivity,time
m·t·E_f·ε·E_m·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻⁴·ε⁻²·E_m⁻¹·N_A
E_m = k₀ · m³·t⁻⁶·E_f⁻⁴·ε⁻²·N_A
null
1
4
6
17
16
-7.5
false
{"mass": "3", "time": "-6", "efield": "-4", "permittivity": "-2", "molar_energy": "-1", "avogadro": "1"}
6
efield,illuminance,lum_intensity,mass,permittivity,time
m·t·E_f·ε·I_v·E_v
em,mechanics,photometry
m²·t⁻⁴·E_f⁻⁴·ε⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·t⁻⁴·E_f⁻⁴·ε⁻²·E_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "efield": "-4", "permittivity": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
efield,lum_intensity,luminance,mass,permittivity,time
m·t·E_f·ε·I_v·L_v
em,mechanics,photometry
m²·t⁻⁴·E_f⁻⁴·ε⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·t⁻⁴·E_f⁻⁴·ε⁻²·L_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "efield": "-4", "permittivity": "-2", "lum_intensity": "-1", "luminance": "1"}
5
efield,light_speed,mass,permittivity,time
m·t·E_f·ε·c₀
constants,em,mechanics
m·t⁻³·E_f⁻²·ε⁻¹·c₀⁻¹
m = k₀ · t³·E_f²·ε·c₀
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "efield": "-2", "permittivity": "-1", "light_speed": "-1"}
5
efield,grav_const,mass,permittivity,time
m·t·E_f·ε·G
constants,em,mechanics
m²·t⁻⁸·E_f⁻⁶·ε⁻³·G⁻¹
G = k₀ · m²·t⁻⁸·E_f⁻⁶·ε⁻³
null
1
3
8
20
18.2
-9.2
false
{"mass": "2", "time": "-8", "efield": "-6", "permittivity": "-3", "grav_const": "-1"}
5
efield,mass,permittivity,planck,time
m·t·E_f·ε·h
constants,em,mechanics
m³·t⁻⁵·E_f⁻⁴·ε⁻²·h⁻¹
h = k₀ · m³·t⁻⁵·E_f⁻⁴·ε⁻²
null
1
3
5
15
13.2
-4.2
false
{"mass": "3", "time": "-5", "efield": "-4", "permittivity": "-2", "planck": "-1"}
5
efield,elem_charge,mass,permittivity,time
m·t·E_f·ε·e
constants,em,mechanics
m²·t⁻⁴·E_f⁻³·ε⁻¹·e⁻¹
ε = k₀ · m²·t⁻⁴·E_f⁻³·e⁻¹
null
1
3
4
11
9.9
-0.9
false
{"mass": "2", "time": "-4", "efield": "-3", "permittivity": "-1", "elem_charge": "-1"}
5
conductivity,efield,mass,permeability,time
m·t·E_f·μ₀·σ
em,mechanics
m²·t⁻⁷·E_f⁻⁴·μ₀·σ⁻¹
μ₀ = k₀ · m⁻²·t⁷·E_f⁴·σ
null
0
2
7
15
13.6
-4.1
false
{"mass": "2", "time": "-7", "efield": "-4", "permeability": "1", "conductivity": "-1"}
5
efield,mass,permeability,resistivity,time
m·t·E_f·μ₀·ρ_e
em,mechanics
m²·t⁻⁷·E_f⁻⁴·μ₀·ρ_e
μ₀ = k₀ · m⁻²·t⁷·E_f⁴·ρ_e⁻¹
null
0
2
7
15
13.6
-4.1
false
{"mass": "2", "time": "-7", "efield": "-4", "permeability": "1", "resistivity": "1"}
6
amount,concentration,efield,mass,permeability,time
m·t·E_f·μ₀·n·c_n
chemistry,em,mechanics
m³·t⁻¹²·E_f⁻⁶·μ₀³·n·c_n⁻¹
n = k₀ · m⁻³·t¹²·E_f⁶·μ₀⁻³·c_n
null
0
3
12
26
24.7
-15.7
false
{"mass": "3", "time": "-12", "efield": "-6", "permeability": "3", "amount": "1", "concentration": "-1"}
6
amount,efield,mass,molar_energy,permeability,time
m·t·E_f·μ₀·n·E_m
chemistry,em,mechanics
m·t⁻⁶·E_f⁻⁴·μ₀²·n·E_m
m = k₀ · t⁶·E_f⁴·μ₀⁻²·n⁻¹·E_m⁻¹
null
0
3
6
15
14
-5
false
{"mass": "1", "time": "-6", "efield": "-4", "permeability": "2", "amount": "1", "molar_energy": "1"}
6
concentration,efield,mass,molar_mass,permeability,time
m·t·E_f·μ₀·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻¹²·E_f⁻⁶·μ₀³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻¹²·E_f⁻⁶·μ₀³·c_n⁻¹
null
0
3
12
27
25.4
-16.4
false
{"mass": "4", "time": "-12", "efield": "-6", "permeability": "3", "molar_mass": "-1", "concentration": "-1"}
6
efield,mass,molar_energy,molar_mass,permeability,time
m·t·E_f·μ₀·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁶·E_f⁻⁴·μ₀²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻⁶·E_f⁻⁴·μ₀²·E_m
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "efield": "-4", "permeability": "2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,efield,mass,molar_energy,permeability,time
m·t·E_f·μ₀·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁶·E_f⁻²·μ₀·c_n⁻¹·E_m⁻¹
μ₀ = k₀ · m⁻²·t⁶·E_f²·c_n·E_m
null
0
3
6
13
12.6
-3.6
false
{"mass": "2", "time": "-6", "efield": "-2", "permeability": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,efield,gas_constant,mass,permeability,time
m·t·E_f·μ₀·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻¹²·E_f⁻⁶·μ₀³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻¹²·E_f⁻⁶·μ₀³·R⁻¹·k_B
null
1
4
12
27
26.3
-17.8
false
{"mass": "3", "time": "-12", "efield": "-6", "permeability": "3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,efield,mass,permeability,time
m·t·E_f·μ₀·c_n·z
chemistry,em,mechanics
m³·t⁻¹¹·E_f⁻⁶·μ₀³·c_n⁻¹·z
c_n = k₀ · m³·t⁻¹¹·E_f⁻⁶·μ₀³·z
null
0
3
11
25
23.5
-14.5
false
{"mass": "3", "time": "-11", "efield": "-6", "permeability": "3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,efield,mass,permeability,time
m·t·E_f·μ₀·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻¹²·E_f⁻⁶·μ₀³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻¹²·E_f⁻⁶·μ₀³·N_A⁻¹
null
1
4
12
26
25.3
-16.8
false
{"mass": "3", "time": "-12", "efield": "-6", "permeability": "3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,efield,gas_constant,mass,molar_energy,permeability,time
m·t·E_f·μ₀·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁶·E_f⁻⁴·μ₀²·E_m·R⁻¹·k_B
m = k₀ · t⁶·E_f⁴·μ₀⁻²·E_m⁻¹·R·k_B⁻¹
null
1
4
6
16
15.6
-7.1
false
{"mass": "1", "time": "-6", "efield": "-4", "permeability": "2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,efield,mass,molar_energy,permeability,time
m·t·E_f·μ₀·E_m·z
chemistry,em,mechanics
m·t⁻⁵·E_f⁻⁴·μ₀²·E_m·z
m = k₀ · t⁵·E_f⁴·μ₀⁻²·E_m⁻¹·z⁻¹
null
0
3
5
14
12.8
-3.8
false
{"mass": "1", "time": "-5", "efield": "-4", "permeability": "2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,efield,mass,molar_energy,permeability,time
m·t·E_f·μ₀·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁶·E_f⁻⁴·μ₀²·E_m·N_A⁻¹
m = k₀ · t⁶·E_f⁴·μ₀⁻²·E_m⁻¹·N_A
null
1
4
6
15
14.6
-6.1
false
{"mass": "1", "time": "-6", "efield": "-4", "permeability": "2", "molar_energy": "1", "avogadro": "-1"}
6
efield,illuminance,lum_intensity,mass,permeability,time
m·t·E_f·μ₀·I_v·E_v
em,mechanics,photometry
m²·t⁻⁸·E_f⁻⁴·μ₀²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁸·E_f⁴·μ₀⁻²·E_v
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "time": "-8", "efield": "-4", "permeability": "2", "lum_intensity": "1", "illuminance": "-1"}
6
efield,lum_intensity,luminance,mass,permeability,time
m·t·E_f·μ₀·I_v·L_v
em,mechanics,photometry
m²·t⁻⁸·E_f⁻⁴·μ₀²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁸·E_f⁴·μ₀⁻²·L_v
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "time": "-8", "efield": "-4", "permeability": "2", "lum_intensity": "1", "luminance": "-1"}
5
efield,light_speed,mass,permeability,time
m·t·E_f·μ₀·c₀
constants,em,mechanics
m·t⁻³·E_f⁻²·μ₀·c₀
m = k₀ · t³·E_f²·μ₀⁻¹·c₀⁻¹
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "efield": "-2", "permeability": "1", "light_speed": "1"}
5
efield,grav_const,mass,permeability,time
m·t·E_f·μ₀·G
constants,em,mechanics
m⁴·t⁻¹⁰·E_f⁻⁶·μ₀³·G
G = k₀ · m⁻⁴·t¹⁰·E_f⁶·μ₀⁻³
null
1
3
10
24
22
-13
false
{"mass": "4", "time": "-10", "efield": "-6", "permeability": "3", "grav_const": "1"}
5
efield,mass,permeability,planck,time
m·t·E_f·μ₀·h
constants,em,mechanics
m·t⁻⁷·E_f⁻⁴·μ₀²·h
m = k₀ · t⁷·E_f⁴·μ₀⁻²·h⁻¹
null
1
3
7
15
14.2
-5.2
false
{"mass": "1", "time": "-7", "efield": "-4", "permeability": "2", "planck": "1"}
6
amount,concentration,conductivity,efield,mass,time
m·t·E_f·σ·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·E_f⁻⁶·σ⁻³·n⁻¹·c_n
n = k₀ · m³·t⁻⁹·E_f⁻⁶·σ⁻³·c_n
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "time": "-9", "efield": "-6", "conductivity": "-3", "amount": "-1", "concentration": "1"}
6
amount,conductivity,efield,mass,molar_energy,time
m·t·E_f·σ·n·E_m
chemistry,em,mechanics
m³·t⁻⁸·E_f⁻⁴·σ⁻²·n⁻¹·E_m⁻¹
n = k₀ · m³·t⁻⁸·E_f⁻⁴·σ⁻²·E_m⁻¹
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "efield": "-4", "conductivity": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,conductivity,efield,mass,molar_mass,time
m·t·E_f·σ·M_m·c_n
chemistry,em,mechanics
m²·t⁻⁹·E_f⁻⁶·σ⁻³·M_m·c_n
M_m = k₀ · m⁻²·t⁹·E_f⁶·σ³·c_n⁻¹
null
0
3
9
22
20.4
-11.4
false
{"mass": "2", "time": "-9", "efield": "-6", "conductivity": "-3", "molar_mass": "1", "concentration": "1"}
6
conductivity,efield,mass,molar_energy,molar_mass,time
m·t·E_f·σ·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁸·E_f⁻⁴·σ⁻²·M_m·E_m⁻¹
M_m = k₀ · m⁻²·t⁸·E_f⁴·σ²·E_m
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "time": "-8", "efield": "-4", "conductivity": "-2", "molar_mass": "1", "molar_energy": "-1"}
7
boltzmann,concentration,conductivity,efield,gas_constant,mass,time
m·t·E_f·σ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·E_f⁻⁶·σ⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·t⁹·E_f⁶·σ³·R⁻¹·k_B
null
1
4
9
24
22.7
-14.2
false
{"mass": "3", "time": "-9", "efield": "-6", "conductivity": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,conductivity,efield,mass,time
m·t·E_f·σ·c_n·z
chemistry,em,mechanics
m³·t⁻¹⁰·E_f⁻⁶·σ⁻³·c_n·z⁻¹
c_n = k₀ · m⁻³·t¹⁰·E_f⁶·σ³·z
null
0
3
10
24
22.3
-13.3
false
{"mass": "3", "time": "-10", "efield": "-6", "conductivity": "-3", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,conductivity,efield,mass,time
m·t·E_f·σ·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·E_f⁻⁶·σ⁻³·c_n·N_A
c_n = k₀ · m⁻³·t⁹·E_f⁶·σ³·N_A⁻¹
null
1
4
9
23
21.7
-13.2
false
{"mass": "3", "time": "-9", "efield": "-6", "conductivity": "-3", "concentration": "1", "avogadro": "1"}
7
boltzmann,conductivity,efield,gas_constant,mass,molar_energy,time
m·t·E_f·σ·E_m·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁸·E_f⁻⁴·σ⁻²·E_m⁻¹·R·k_B⁻¹
E_m = k₀ · m³·t⁻⁸·E_f⁻⁴·σ⁻²·R·k_B⁻¹
null
1
4
8
20
19.4
-10.9
false
{"mass": "3", "time": "-8", "efield": "-4", "conductivity": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,conductivity,efield,mass,molar_energy,time
m·t·E_f·σ·E_m·z
chemistry,em,mechanics
m³·t⁻⁹·E_f⁻⁴·σ⁻²·E_m⁻¹·z⁻¹
E_m = k₀ · m³·t⁻⁹·E_f⁻⁴·σ⁻²·z⁻¹
null
0
3
9
20
19
-10
false
{"mass": "3", "time": "-9", "efield": "-4", "conductivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,conductivity,efield,mass,molar_energy,time
m·t·E_f·σ·E_m·N_A
chemistry,constants,em,mechanics
m³·t⁻⁸·E_f⁻⁴·σ⁻²·E_m⁻¹·N_A
E_m = k₀ · m³·t⁻⁸·E_f⁻⁴·σ⁻²·N_A
null
1
4
8
19
18.4
-9.9
false
{"mass": "3", "time": "-8", "efield": "-4", "conductivity": "-2", "molar_energy": "-1", "avogadro": "1"}
6
conductivity,efield,illuminance,lum_intensity,mass,time
m·t·E_f·σ·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·E_f⁻⁴·σ⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·t⁻⁶·E_f⁻⁴·σ⁻²·E_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "efield": "-4", "conductivity": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
conductivity,efield,lum_intensity,luminance,mass,time
m·t·E_f·σ·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·E_f⁻⁴·σ⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·t⁻⁶·E_f⁻⁴·σ⁻²·L_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "efield": "-4", "conductivity": "-2", "lum_intensity": "-1", "luminance": "1"}
5
conductivity,efield,light_speed,mass,time
m·t·E_f·σ·c₀
constants,em,mechanics
m·t⁻⁴·E_f⁻²·σ⁻¹·c₀⁻¹
m = k₀ · t⁴·E_f²·σ·c₀
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "time": "-4", "efield": "-2", "conductivity": "-1", "light_speed": "-1"}
5
conductivity,efield,grav_const,mass,time
m·t·E_f·σ·G
constants,em,mechanics
m²·t⁻¹¹·E_f⁻⁶·σ⁻³·G⁻¹
G = k₀ · m²·t⁻¹¹·E_f⁻⁶·σ⁻³
null
1
3
11
23
21.8
-12.8
false
{"mass": "2", "time": "-11", "efield": "-6", "conductivity": "-3", "grav_const": "-1"}
5
conductivity,efield,mass,planck,time
m·t·E_f·σ·h
constants,em,mechanics
m³·t⁻⁷·E_f⁻⁴·σ⁻²·h⁻¹
h = k₀ · m³·t⁻⁷·E_f⁻⁴·σ⁻²
null
1
3
7
17
15.6
-6.6
false
{"mass": "3", "time": "-7", "efield": "-4", "conductivity": "-2", "planck": "-1"}
5
conductivity,efield,elem_charge,mass,time
m·t·E_f·σ·e
constants,em,mechanics
m²·t⁻⁵·E_f⁻³·σ⁻¹·e⁻¹
σ = k₀ · m²·t⁻⁵·E_f⁻³·e⁻¹
null
1
3
5
12
11.1
-2.1
false
{"mass": "2", "time": "-5", "efield": "-3", "conductivity": "-1", "elem_charge": "-1"}
6
amount,concentration,efield,mass,resistivity,time
m·t·E_f·ρ_e·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·E_f⁻⁶·ρ_e³·n⁻¹·c_n
n = k₀ · m³·t⁻⁹·E_f⁻⁶·ρ_e³·c_n
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "time": "-9", "efield": "-6", "resistivity": "3", "amount": "-1", "concentration": "1"}
6
amount,efield,mass,molar_energy,resistivity,time
m·t·E_f·ρ_e·n·E_m
chemistry,em,mechanics
m³·t⁻⁸·E_f⁻⁴·ρ_e²·n⁻¹·E_m⁻¹
n = k₀ · m³·t⁻⁸·E_f⁻⁴·ρ_e²·E_m⁻¹
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "efield": "-4", "resistivity": "2", "amount": "-1", "molar_energy": "-1"}
6
concentration,efield,mass,molar_mass,resistivity,time
m·t·E_f·ρ_e·M_m·c_n
chemistry,em,mechanics
m²·t⁻⁹·E_f⁻⁶·ρ_e³·M_m·c_n
M_m = k₀ · m⁻²·t⁹·E_f⁶·ρ_e⁻³·c_n⁻¹
null
0
3
9
22
20.4
-11.4
false
{"mass": "2", "time": "-9", "efield": "-6", "resistivity": "3", "molar_mass": "1", "concentration": "1"}
6
efield,mass,molar_energy,molar_mass,resistivity,time
m·t·E_f·ρ_e·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁸·E_f⁻⁴·ρ_e²·M_m·E_m⁻¹
M_m = k₀ · m⁻²·t⁸·E_f⁴·ρ_e⁻²·E_m
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "time": "-8", "efield": "-4", "resistivity": "2", "molar_mass": "1", "molar_energy": "-1"}
7
boltzmann,concentration,efield,gas_constant,mass,resistivity,time
m·t·E_f·ρ_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·E_f⁻⁶·ρ_e³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·t⁹·E_f⁶·ρ_e⁻³·R⁻¹·k_B
null
1
4
9
24
22.7
-14.2
false
{"mass": "3", "time": "-9", "efield": "-6", "resistivity": "3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,efield,mass,resistivity,time
m·t·E_f·ρ_e·c_n·z
chemistry,em,mechanics
m³·t⁻¹⁰·E_f⁻⁶·ρ_e³·c_n·z⁻¹
c_n = k₀ · m⁻³·t¹⁰·E_f⁶·ρ_e⁻³·z
null
0
3
10
24
22.3
-13.3
false
{"mass": "3", "time": "-10", "efield": "-6", "resistivity": "3", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,efield,mass,resistivity,time
m·t·E_f·ρ_e·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·E_f⁻⁶·ρ_e³·c_n·N_A
c_n = k₀ · m⁻³·t⁹·E_f⁶·ρ_e⁻³·N_A⁻¹
null
1
4
9
23
21.7
-13.2
false
{"mass": "3", "time": "-9", "efield": "-6", "resistivity": "3", "concentration": "1", "avogadro": "1"}
7
boltzmann,efield,gas_constant,mass,molar_energy,resistivity,time
m·t·E_f·ρ_e·E_m·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁸·E_f⁻⁴·ρ_e²·E_m⁻¹·R·k_B⁻¹
E_m = k₀ · m³·t⁻⁸·E_f⁻⁴·ρ_e²·R·k_B⁻¹
null
1
4
8
20
19.4
-10.9
false
{"mass": "3", "time": "-8", "efield": "-4", "resistivity": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,efield,mass,molar_energy,resistivity,time
m·t·E_f·ρ_e·E_m·z
chemistry,em,mechanics
m³·t⁻⁹·E_f⁻⁴·ρ_e²·E_m⁻¹·z⁻¹
E_m = k₀ · m³·t⁻⁹·E_f⁻⁴·ρ_e²·z⁻¹
null
0
3
9
20
19
-10
false
{"mass": "3", "time": "-9", "efield": "-4", "resistivity": "2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,efield,mass,molar_energy,resistivity,time
m·t·E_f·ρ_e·E_m·N_A
chemistry,constants,em,mechanics
m³·t⁻⁸·E_f⁻⁴·ρ_e²·E_m⁻¹·N_A
E_m = k₀ · m³·t⁻⁸·E_f⁻⁴·ρ_e²·N_A
null
1
4
8
19
18.4
-9.9
false
{"mass": "3", "time": "-8", "efield": "-4", "resistivity": "2", "molar_energy": "-1", "avogadro": "1"}
6
efield,illuminance,lum_intensity,mass,resistivity,time
m·t·E_f·ρ_e·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·E_f⁻⁴·ρ_e²·I_v⁻¹·E_v
I_v = k₀ · m²·t⁻⁶·E_f⁻⁴·ρ_e²·E_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "efield": "-4", "resistivity": "2", "lum_intensity": "-1", "illuminance": "1"}
6
efield,lum_intensity,luminance,mass,resistivity,time
m·t·E_f·ρ_e·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·E_f⁻⁴·ρ_e²·I_v⁻¹·L_v
I_v = k₀ · m²·t⁻⁶·E_f⁻⁴·ρ_e²·L_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "efield": "-4", "resistivity": "2", "lum_intensity": "-1", "luminance": "1"}
5
efield,light_speed,mass,resistivity,time
m·t·E_f·ρ_e·c₀
constants,em,mechanics
m·t⁻⁴·E_f⁻²·ρ_e·c₀⁻¹
m = k₀ · t⁴·E_f²·ρ_e⁻¹·c₀
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "time": "-4", "efield": "-2", "resistivity": "1", "light_speed": "-1"}
5
efield,grav_const,mass,resistivity,time
m·t·E_f·ρ_e·G
constants,em,mechanics
m²·t⁻¹¹·E_f⁻⁶·ρ_e³·G⁻¹
G = k₀ · m²·t⁻¹¹·E_f⁻⁶·ρ_e³
null
1
3
11
23
21.8
-12.8
false
{"mass": "2", "time": "-11", "efield": "-6", "resistivity": "3", "grav_const": "-1"}
5
efield,mass,planck,resistivity,time
m·t·E_f·ρ_e·h
constants,em,mechanics
m³·t⁻⁷·E_f⁻⁴·ρ_e²·h⁻¹
h = k₀ · m³·t⁻⁷·E_f⁻⁴·ρ_e²
null
1
3
7
17
15.6
-6.6
false
{"mass": "3", "time": "-7", "efield": "-4", "resistivity": "2", "planck": "-1"}
5
efield,elem_charge,mass,resistivity,time
m·t·E_f·ρ_e·e
constants,em,mechanics
m²·t⁻⁵·E_f⁻³·ρ_e·e⁻¹
ρ_e = k₀ · m⁻²·t⁵·E_f³·e
null
1
3
5
12
11.1
-2.1
false
{"mass": "2", "time": "-5", "efield": "-3", "resistivity": "1", "elem_charge": "-1"}
6
amount,concentration,efield,elem_charge,mass,time
m·t·E_f·n·c_n·e
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻³·n·c_n⁻¹·e⁻³
n = k₀ · m⁻³·t⁶·E_f³·c_n·e³
null
1
4
6
17
16
-7.5
false
{"mass": "3", "time": "-6", "efield": "-3", "amount": "1", "concentration": "-1", "elem_charge": "-3"}
6
amount,efield,elem_charge,mass,molar_energy,time
m·t·E_f·n·E_m·e
chemistry,constants,em,mechanics
m·t⁻²·E_f⁻²·n·E_m·e⁻²
m = k₀ · t²·E_f²·n⁻¹·E_m⁻¹·e²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "efield": "-2", "amount": "1", "molar_energy": "1", "elem_charge": "-2"}
6
concentration,efield,elem_charge,mass,molar_mass,time
m·t·E_f·M_m·c_n·e
chemistry,constants,em,mechanics
m⁴·t⁻⁶·E_f⁻³·M_m⁻¹·c_n⁻¹·e⁻³
M_m = k₀ · m⁴·t⁻⁶·E_f⁻³·c_n⁻¹·e⁻³
null
1
4
6
18
16.7
-8.2
false
{"mass": "4", "time": "-6", "efield": "-3", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-3"}
6
efield,elem_charge,mass,molar_energy,molar_mass,time
m·t·E_f·M_m·E_m·e
chemistry,constants,em,mechanics
m²·t⁻²·E_f⁻²·M_m⁻¹·E_m·e⁻²
M_m = k₀ · m²·t⁻²·E_f⁻²·E_m·e⁻²
null
1
4
2
10
9.1
-0.6
false
{"mass": "2", "time": "-2", "efield": "-2", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-2"}
6
concentration,efield,elem_charge,mass,molar_energy,time
m·t·E_f·c_n·E_m·e
chemistry,constants,em,mechanics
m²·t⁻⁴·E_f⁻¹·c_n⁻¹·E_m⁻¹·e⁻¹
E_f = k₀ · m²·t⁻⁴·c_n⁻¹·E_m⁻¹·e⁻¹
null
1
4
4
10
10.1
-1.6
false
{"mass": "2", "time": "-4", "efield": "-1", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-1"}
7
boltzmann,concentration,efield,elem_charge,gas_constant,mass,time
m·t·E_f·c_n·R·k_B·e
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻³·c_n⁻¹·R⁻¹·k_B·e⁻³
c_n = k₀ · m³·t⁻⁶·E_f⁻³·R⁻¹·k_B·e⁻³
null
2
4
6
18
18
-11
false
{"mass": "3", "time": "-6", "efield": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-3"}
6
cat_activity,concentration,efield,elem_charge,mass,time
m·t·E_f·c_n·z·e
chemistry,constants,em,mechanics
m³·t⁻⁵·E_f⁻³·c_n⁻¹·z·e⁻³
c_n = k₀ · m³·t⁻⁵·E_f⁻³·z·e⁻³
null
1
4
5
16
14.8
-6.3
false
{"mass": "3", "time": "-5", "efield": "-3", "concentration": "-1", "cat_activity": "1", "elem_charge": "-3"}
6
avogadro,concentration,efield,elem_charge,mass,time
m·t·E_f·c_n·e·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·E_f⁻³·c_n⁻¹·e⁻³·N_A⁻¹
c_n = k₀ · m³·t⁻⁶·E_f⁻³·e⁻³·N_A⁻¹
null
2
4
6
17
17
-10
false
{"mass": "3", "time": "-6", "efield": "-3", "concentration": "-1", "elem_charge": "-3", "avogadro": "-1"}
7
boltzmann,efield,elem_charge,gas_constant,mass,molar_energy,time
m·t·E_f·E_m·R·k_B·e
chemistry,constants,em,mechanics
m·t⁻²·E_f⁻²·E_m·R⁻¹·k_B·e⁻²
m = k₀ · t²·E_f²·E_m⁻¹·R·k_B⁻¹·e²
null
2
4
2
10
10.4
-3.4
false
{"mass": "1", "time": "-2", "efield": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-2"}
6
cat_activity,efield,elem_charge,mass,molar_energy,time
m·t·E_f·E_m·z·e
chemistry,constants,em,mechanics
m·t⁻¹·E_f⁻²·E_m·z·e⁻²
m = k₀ · t·E_f²·E_m⁻¹·z⁻¹·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "-1", "efield": "-2", "molar_energy": "1", "cat_activity": "1", "elem_charge": "-2"}
6
avogadro,efield,elem_charge,mass,molar_energy,time
m·t·E_f·E_m·e·N_A
chemistry,constants,em,mechanics
m·t⁻²·E_f⁻²·E_m·e⁻²·N_A⁻¹
m = k₀ · t²·E_f²·E_m⁻¹·e²·N_A
null
2
4
2
9
9.4
-2.4
false
{"mass": "1", "time": "-2", "efield": "-2", "molar_energy": "1", "elem_charge": "-2", "avogadro": "-1"}
6
efield,elem_charge,illuminance,lum_intensity,mass,time
m·t·E_f·I_v·E_v·e
constants,em,mechanics,photometry
m²·t⁻⁴·E_f⁻²·I_v·E_v⁻¹·e⁻²
I_v = k₀ · m⁻²·t⁴·E_f²·E_v·e²
null
1
4
4
12
11.5
-3
false
{"mass": "2", "time": "-4", "efield": "-2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-2"}
6
efield,elem_charge,lum_intensity,luminance,mass,time
m·t·E_f·I_v·L_v·e
constants,em,mechanics,photometry
m²·t⁻⁴·E_f⁻²·I_v·L_v⁻¹·e⁻²
I_v = k₀ · m⁻²·t⁴·E_f²·L_v·e²
null
1
4
4
12
11.5
-3
false
{"mass": "2", "time": "-4", "efield": "-2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-2"}
5
efield,elem_charge,light_speed,mass,time
m·t·E_f·c₀·e
constants,em,mechanics
m·t⁻¹·E_f⁻¹·c₀·e⁻¹
m = k₀ · t·E_f·c₀⁻¹·e
null
2
3
1
5
5.2
2.3
false
{"mass": "1", "time": "-1", "efield": "-1", "light_speed": "1", "elem_charge": "-1"}
5
efield,elem_charge,grav_const,mass,time
m·t·E_f·G·e
constants,em,mechanics
m⁴·t⁻⁴·E_f⁻³·G·e⁻³
G = k₀ · m⁻⁴·t⁴·E_f³·e³
null
2
3
4
15
13.7
-6.2
false
{"mass": "4", "time": "-4", "efield": "-3", "grav_const": "1", "elem_charge": "-3"}
5
efield,elem_charge,mass,planck,time
m·t·E_f·h·e
constants,em,mechanics
m·t⁻³·E_f⁻²·h·e⁻²
m = k₀ · t³·E_f²·h⁻¹·e²
null
2
3
3
9
9
-1.5
false
{"mass": "1", "time": "-3", "efield": "-2", "planck": "1", "elem_charge": "-2"}
5
bfield,mag_flux,mass,permeability,time
m·t·B·Φ·μ₀
em,mechanics
m²·t⁻⁴·B⁻³·Φ⁻¹·μ₀²
Φ = k₀ · m²·t⁻⁴·B⁻³·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-4", "bfield": "-3", "mag_flux": "-1", "permeability": "2"}
5
bfield,conductivity,mag_flux,mass,time
m·t·B·Φ·σ
em,mechanics
m²·t⁻²·B⁻¹·Φ⁻³·σ⁻²
B = k₀ · m²·t⁻²·Φ⁻³·σ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-2", "bfield": "-1", "mag_flux": "-3", "conductivity": "-2"}
5
bfield,mag_flux,mass,resistivity,time
m·t·B·Φ·ρ_e
em,mechanics
m²·t⁻²·B⁻¹·Φ⁻³·ρ_e²
B = k₀ · m²·t⁻²·Φ⁻³·ρ_e²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-2", "bfield": "-1", "mag_flux": "-3", "resistivity": "2"}
6
amount,bfield,mag_flux,mass,molar_energy,time
m·t·B·Φ·n·E_m
chemistry,em,mechanics
m·t⁻²·B⁻¹·Φ·n⁻¹·E_m⁻¹
m = k₀ · t²·B·Φ⁻¹·n·E_m
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "bfield": "-1", "mag_flux": "1", "amount": "-1", "molar_energy": "-1"}