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
capacitance,current,elem_charge,length,mass
m·ℓ·i·C_e·e
constants,em,mechanics
m·ℓ²·i²·C_e·e⁻⁴
m = k₀ · ℓ⁻²·i⁻²·C_e⁻¹·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "length": "2", "current": "2", "capacitance": "1", "elem_charge": "-4"}
5
current,efield,inductance,length,mass
m·ℓ·i·L_e·E_f
em,mechanics
m·ℓ⁴·i⁻⁴·L_e⁻³·E_f²
m = k₀ · ℓ⁻⁴·i⁴·L_e³·E_f⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "length": "4", "current": "-4", "inductance": "-3", "efield": "2"}
5
current,inductance,length,mass,permittivity
m·ℓ·i·L_e·ε
em,mechanics
m·ℓ·i⁻²·L_e⁻²·ε⁻¹
m = k₀ · ℓ⁻¹·i²·L_e²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "1", "current": "-2", "inductance": "-2", "permittivity": "-1"}
6
amount,cat_activity,current,inductance,length,mass
m·ℓ·i·L_e·n·z
chemistry,em,mechanics
m·ℓ²·i⁻²·L_e⁻¹·n⁻²·z²
m = k₀ · ℓ⁻²·i²·L_e·n²·z⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "length": "2", "current": "-2", "inductance": "-1", "amount": "-2", "cat_activity": "2"}
6
cat_activity,current,inductance,length,mass,molar_mass
m·ℓ·i·L_e·M_m·z
chemistry,em,mechanics
m·ℓ⁻²·i²·L_e·M_m⁻²·z⁻²
m = k₀ · ℓ²·i⁻²·L_e⁻¹·M_m²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "length": "-2", "current": "2", "inductance": "1", "molar_mass": "-2", "cat_activity": "-2"}
6
cat_activity,concentration,current,inductance,length,mass
m·ℓ·i·L_e·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁴·i⁻²·L_e⁻¹·c_n⁻²·z²
m = k₀ · ℓ⁴·i²·L_e·c_n²·z⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "length": "-4", "current": "-2", "inductance": "-1", "concentration": "-2", "cat_activity": "2"}
6
cat_activity,current,inductance,length,mass,molar_energy
m·ℓ·i·L_e·E_m·z
chemistry,em,mechanics
m·ℓ²·i⁻⁶·L_e⁻³·E_m²·z²
m = k₀ · ℓ⁻²·i⁶·L_e³·E_m⁻²·z⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "length": "2", "current": "-6", "inductance": "-3", "molar_energy": "2", "cat_activity": "2"}
7
boltzmann,cat_activity,current,gas_constant,inductance,length,mass
m·ℓ·i·L_e·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ²·i⁻²·L_e⁻¹·R²·z²·k_B⁻²
m = k₀ · ℓ⁻²·i²·L_e·R⁻²·z⁻²·k_B²
null
1
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "2", "current": "-2", "inductance": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,cat_activity,current,inductance,length,mass
m·ℓ·i·L_e·z·N_A
chemistry,constants,em,mechanics
m·ℓ²·i⁻²·L_e⁻¹·z²·N_A²
m = k₀ · ℓ⁻²·i²·L_e·z⁻²·N_A⁻²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "length": "2", "current": "-2", "inductance": "-1", "cat_activity": "2", "avogadro": "2"}
5
current,grav_const,inductance,length,mass
m·ℓ·i·L_e·G
constants,em,mechanics
m²·ℓ⁻¹·i⁻²·L_e⁻¹·G
ℓ = k₀ · m²·i⁻²·L_e⁻¹·G
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "length": "-1", "current": "-2", "inductance": "-1", "grav_const": "1"}
5
current,inductance,length,mass,planck
m·ℓ·i·L_e·h
constants,em,mechanics
m·ℓ²·i²·L_e·h⁻²
m = k₀ · ℓ⁻²·i⁻²·L_e⁻¹·h²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "length": "2", "current": "2", "inductance": "1", "planck": "-2"}
5
bfield,current,efield,length,mass
m·ℓ·i·E_f·B
em,mechanics
m·ℓ⁻²·i⁻¹·E_f²·B⁻³
m = k₀ · ℓ²·i·E_f⁻²·B³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-2", "current": "-1", "efield": "2", "bfield": "-3"}
5
current,efield,length,mag_flux,mass
m·ℓ·i·E_f·Φ
em,mechanics
m·ℓ⁴·i⁻¹·E_f²·Φ⁻³
m = k₀ · ℓ⁻⁴·i·E_f⁻²·Φ³
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "length": "4", "current": "-1", "efield": "2", "mag_flux": "-3"}
5
current,efield,length,mass,permittivity
m·ℓ·i·E_f·ε
em,mechanics
m·ℓ⁻⁵·i²·E_f⁻⁴·ε⁻³
m = k₀ · ℓ⁵·i⁻²·E_f⁴·ε³
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "length": "-5", "current": "2", "efield": "-4", "permittivity": "-3"}
5
current,efield,length,mass,permeability
m·ℓ·i·E_f·μ₀
em,mechanics
m·ℓ·i⁻⁴·E_f²·μ₀⁻³
m = k₀ · ℓ⁻¹·i⁴·E_f⁻²·μ₀³
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "length": "1", "current": "-4", "efield": "2", "permeability": "-3"}
6
amount,current,efield,length,mass,molar_energy
m·ℓ·i·E_f·n·E_m
chemistry,em,mechanics
m·ℓ⁴·i²·E_f²·n⁻³·E_m⁻³
m = k₀ · ℓ⁻⁴·i⁻²·E_f⁻²·n³·E_m³
null
0
3
4
15
13
-4
false
{"mass": "1", "length": "4", "current": "2", "efield": "2", "amount": "-3", "molar_energy": "-3"}
6
amount,cat_activity,current,efield,length,mass
m·ℓ·i·E_f·n·z
chemistry,em,mechanics
m·ℓ·i⁻¹·E_f⁻¹·n⁻³·z³
m = k₀ · ℓ⁻¹·i·E_f·n³·z⁻³
null
0
3
3
10
9
0
false
{"mass": "1", "length": "1", "current": "-1", "efield": "-1", "amount": "-3", "cat_activity": "3"}
6
current,efield,length,mass,molar_energy,molar_mass
m·ℓ·i·E_f·M_m·E_m
chemistry,em,mechanics
m²·ℓ⁻⁴·i⁻²·E_f⁻²·M_m⁻³·E_m³
m = k₀ · ℓ²·i·E_f·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "length": "-4", "current": "-2", "efield": "-2", "molar_mass": "-3", "molar_energy": "3"}
6
cat_activity,current,efield,length,mass,molar_mass
m·ℓ·i·E_f·M_m·z
chemistry,em,mechanics
m²·ℓ⁻¹·i·E_f·M_m⁻³·z⁻³
ℓ = k₀ · m²·i·E_f·M_m⁻³·z⁻³
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "length": "-1", "current": "1", "efield": "1", "molar_mass": "-3", "cat_activity": "-3"}
6
concentration,current,efield,length,mass,molar_energy
m·ℓ·i·E_f·c_n·E_m
chemistry,em,mechanics
m·ℓ⁻⁵·i²·E_f²·c_n⁻³·E_m⁻³
m = k₀ · ℓ⁵·i⁻²·E_f⁻²·c_n³·E_m³
null
0
3
5
16
14.2
-5.2
false
{"mass": "1", "length": "-5", "current": "2", "efield": "2", "concentration": "-3", "molar_energy": "-3"}
6
cat_activity,concentration,current,efield,length,mass
m·ℓ·i·E_f·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁸·i⁻¹·E_f⁻¹·c_n⁻³·z³
m = k₀ · ℓ⁸·i·E_f·c_n³·z⁻³
null
0
3
8
17
16.4
-7.4
false
{"mass": "1", "length": "-8", "current": "-1", "efield": "-1", "concentration": "-3", "cat_activity": "3"}
7
boltzmann,current,efield,gas_constant,length,mass,molar_energy
m·ℓ·i·E_f·E_m·R·k_B
chemistry,constants,em,mechanics
m·ℓ⁴·i²·E_f²·E_m⁻³·R³·k_B⁻³
m = k₀ · ℓ⁻⁴·i⁻²·E_f⁻²·E_m³·R⁻³·k_B³
null
1
4
4
18
16
-7.5
false
{"mass": "1", "length": "4", "current": "2", "efield": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
6
avogadro,current,efield,length,mass,molar_energy
m·ℓ·i·E_f·E_m·N_A
chemistry,constants,em,mechanics
m·ℓ⁴·i²·E_f²·E_m⁻³·N_A³
m = k₀ · ℓ⁻⁴·i⁻²·E_f⁻²·E_m³·N_A⁻³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "length": "4", "current": "2", "efield": "2", "molar_energy": "-3", "avogadro": "3"}
7
boltzmann,cat_activity,current,efield,gas_constant,length,mass
m·ℓ·i·E_f·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ·i⁻¹·E_f⁻¹·R³·z³·k_B⁻³
m = k₀ · ℓ⁻¹·i·E_f·R⁻³·z⁻³·k_B³
null
1
4
3
13
12
-3.5
false
{"mass": "1", "length": "1", "current": "-1", "efield": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
6
avogadro,cat_activity,current,efield,length,mass
m·ℓ·i·E_f·z·N_A
chemistry,constants,em,mechanics
m·ℓ·i⁻¹·E_f⁻¹·z³·N_A³
m = k₀ · ℓ⁻¹·i·E_f·z⁻³·N_A⁻³
null
1
4
3
10
9.6
-1.1
false
{"mass": "1", "length": "1", "current": "-1", "efield": "-1", "cat_activity": "3", "avogadro": "3"}
5
current,efield,length,light_speed,mass
m·ℓ·i·E_f·c₀
constants,em,mechanics
m·ℓ⁻²·i⁻¹·E_f⁻¹·c₀³
m = k₀ · ℓ²·i·E_f·c₀⁻³
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "length": "-2", "current": "-1", "efield": "-1", "light_speed": "3"}
5
current,efield,grav_const,length,mass
m·ℓ·i·E_f·G
constants,em,mechanics
m⁵·ℓ⁻⁷·i⁻²·E_f⁻²·G³
i = k₀ · m⁵ᐟ²·ℓ⁻⁷ᐟ²·E_f⁻¹·G³ᐟ²
null
1
3
7
19
17
-8
false
{"mass": "5", "length": "-7", "current": "-2", "efield": "-2", "grav_const": "3"}
5
current,efield,length,mass,planck
m·ℓ·i·E_f·h
constants,em,mechanics
m²·ℓ⁵·i·E_f·h⁻³
i = k₀ · m⁻²·ℓ⁻⁵·E_f⁻¹·h³
null
1
3
5
12
11.1
-2.1
false
{"mass": "2", "length": "5", "current": "1", "efield": "1", "planck": "-3"}
5
current,efield,elem_charge,length,mass
m·ℓ·i·E_f·e
constants,em,mechanics
m·ℓ·i²·E_f⁻¹·e⁻³
m = k₀ · ℓ⁻¹·i⁻²·E_f·e³
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "length": "1", "current": "2", "efield": "-1", "elem_charge": "-3"}
5
bfield,conductivity,current,length,mass
m·ℓ·i·B·σ
em,mechanics
m·ℓ⁻⁶·i·B⁻³·σ⁻²
m = k₀ · ℓ⁶·i⁻¹·B³·σ²
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "length": "-6", "current": "1", "bfield": "-3", "conductivity": "-2"}
5
bfield,current,length,mass,resistivity
m·ℓ·i·B·ρ_e
em,mechanics
m·ℓ⁻⁶·i·B⁻³·ρ_e²
m = k₀ · ℓ⁶·i⁻¹·B³·ρ_e⁻²
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "length": "-6", "current": "1", "bfield": "-3", "resistivity": "2"}
6
bfield,current,length,mass,molar_energy,molar_mass
m·ℓ·i·B·M_m·E_m
chemistry,em,mechanics
m·ℓ⁻²·i⁻¹·B⁻¹·M_m⁻¹·E_m
m = k₀ · ℓ²·i·B·M_m·E_m⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "length": "-2", "current": "-1", "bfield": "-1", "molar_mass": "-1", "molar_energy": "1"}
6
bfield,cat_activity,concentration,current,length,mass
m·ℓ·i·B·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁶·i⁻¹·B⁻¹·c_n⁻²·z²
m = k₀ · ℓ⁶·i·B·c_n²·z⁻²
null
0
3
6
13
12.6
-3.6
false
{"mass": "1", "length": "-6", "current": "-1", "bfield": "-1", "concentration": "-2", "cat_activity": "2"}
6
bfield,cat_activity,current,length,mass,molar_energy
m·ℓ·i·B·E_m·z
chemistry,em,mechanics
m·ℓ⁻⁴·i⁻³·B⁻³·E_m²·z²
m = k₀ · ℓ⁴·i³·B³·E_m⁻²·z⁻²
null
0
3
4
15
13
-4
false
{"mass": "1", "length": "-4", "current": "-3", "bfield": "-3", "molar_energy": "2", "cat_activity": "2"}
5
bfield,current,length,light_speed,mass
m·ℓ·i·B·c₀
constants,em,mechanics
m·ℓ⁻²·i⁻¹·B⁻¹·c₀²
m = k₀ · ℓ²·i·B·c₀⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "-2", "current": "-1", "bfield": "-1", "light_speed": "2"}
5
bfield,current,grav_const,length,mass
m·ℓ·i·B·G
constants,em,mechanics
m²·ℓ⁻³·i⁻¹·B⁻¹·G
i = k₀ · m²·ℓ⁻³·B⁻¹·G
null
1
3
3
8
7.3
1.7
false
{"mass": "2", "length": "-3", "current": "-1", "bfield": "-1", "grav_const": "1"}
5
bfield,current,length,mass,planck
m·ℓ·i·B·h
constants,em,mechanics
m·ℓ⁴·i·B·h⁻²
m = k₀ · ℓ⁻⁴·i⁻¹·B⁻¹·h²
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "4", "current": "1", "bfield": "1", "planck": "-2"}
6
amount,cat_activity,current,length,mag_flux,mass
m·ℓ·i·Φ·n·z
chemistry,em,mechanics
m·ℓ²·i⁻¹·Φ⁻¹·n⁻²·z²
m = k₀ · ℓ⁻²·i·Φ·n²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "2", "current": "-1", "mag_flux": "-1", "amount": "-2", "cat_activity": "2"}
6
cat_activity,current,length,mag_flux,mass,molar_mass
m·ℓ·i·Φ·M_m·z
chemistry,em,mechanics
m·ℓ⁻²·i·Φ·M_m⁻²·z⁻²
m = k₀ · ℓ²·i⁻¹·Φ⁻¹·M_m²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "-2", "current": "1", "mag_flux": "1", "molar_mass": "-2", "cat_activity": "-2"}
6
cat_activity,concentration,current,length,mag_flux,mass
m·ℓ·i·Φ·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁴·i⁻¹·Φ⁻¹·c_n⁻²·z²
m = k₀ · ℓ⁴·i·Φ·c_n²·z⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "length": "-4", "current": "-1", "mag_flux": "-1", "concentration": "-2", "cat_activity": "2"}
6
cat_activity,current,length,mag_flux,mass,molar_energy
m·ℓ·i·Φ·E_m·z
chemistry,em,mechanics
m·ℓ²·i⁻³·Φ⁻³·E_m²·z²
m = k₀ · ℓ⁻²·i³·Φ³·E_m⁻²·z⁻²
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "length": "2", "current": "-3", "mag_flux": "-3", "molar_energy": "2", "cat_activity": "2"}
7
boltzmann,cat_activity,current,gas_constant,length,mag_flux,mass
m·ℓ·i·Φ·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ²·i⁻¹·Φ⁻¹·R²·z²·k_B⁻²
m = k₀ · ℓ⁻²·i·Φ·R⁻²·z⁻²·k_B²
null
1
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "2", "current": "-1", "mag_flux": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,cat_activity,current,length,mag_flux,mass
m·ℓ·i·Φ·z·N_A
chemistry,constants,em,mechanics
m·ℓ²·i⁻¹·Φ⁻¹·z²·N_A²
m = k₀ · ℓ⁻²·i·Φ·z⁻²·N_A⁻²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "current": "-1", "mag_flux": "-1", "cat_activity": "2", "avogadro": "2"}
5
current,grav_const,length,mag_flux,mass
m·ℓ·i·Φ·G
constants,em,mechanics
m²·ℓ⁻¹·i⁻¹·Φ⁻¹·G
ℓ = k₀ · m²·i⁻¹·Φ⁻¹·G
null
1
3
2
6
5.4
3.6
false
{"mass": "2", "length": "-1", "current": "-1", "mag_flux": "-1", "grav_const": "1"}
5
current,length,mag_flux,mass,planck
m·ℓ·i·Φ·h
constants,em,mechanics
m·ℓ²·i·Φ·h⁻²
m = k₀ · ℓ⁻²·i⁻¹·Φ⁻¹·h²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "2", "current": "1", "mag_flux": "1", "planck": "-2"}
5
current,elem_charge,length,mag_flux,mass
m·ℓ·i·Φ·e
constants,em,mechanics
m·ℓ²·i·Φ⁻¹·e⁻²
m = k₀ · ℓ⁻²·i⁻¹·Φ·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "2", "current": "1", "mag_flux": "-1", "elem_charge": "-2"}
5
current,length,mass,permeability,permittivity
m·ℓ·i·ε·μ₀
em,mechanics
m·ℓ⁻¹·i⁻²·ε⁻¹·μ₀⁻²
m = k₀ · ℓ·i²·ε·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-1", "current": "-2", "permittivity": "-1", "permeability": "-2"}
5
conductivity,current,length,mass,permittivity
m·ℓ·i·ε·σ
em,mechanics
m·ℓ³·i⁻²·ε⁻³·σ⁴
m = k₀ · ℓ⁻³·i²·ε³·σ⁻⁴
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "length": "3", "current": "-2", "permittivity": "-3", "conductivity": "4"}
5
current,length,mass,permittivity,resistivity
m·ℓ·i·ε·ρ_e
em,mechanics
m·ℓ³·i⁻²·ε⁻³·ρ_e⁻⁴
m = k₀ · ℓ⁻³·i²·ε³·ρ_e⁴
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "length": "3", "current": "-2", "permittivity": "-3", "resistivity": "-4"}
6
amount,current,length,mass,molar_energy,permittivity
m·ℓ·i·ε·n·E_m
chemistry,em,mechanics
m·ℓ·i²·ε⁻¹·n⁻²·E_m⁻²
m = k₀ · ℓ⁻¹·i⁻²·ε·n²·E_m²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "1", "current": "2", "permittivity": "-1", "amount": "-2", "molar_energy": "-2"}
6
amount,cat_activity,current,length,mass,permittivity
m·ℓ·i·ε·n·z
chemistry,em,mechanics
m·ℓ³·i⁻²·ε·n⁻⁴·z⁴
m = k₀ · ℓ⁻³·i²·ε⁻¹·n⁴·z⁻⁴
null
0
3
4
15
13
-4
false
{"mass": "1", "length": "3", "current": "-2", "permittivity": "1", "amount": "-4", "cat_activity": "4"}
6
current,length,mass,molar_energy,molar_mass,permittivity
m·ℓ·i·ε·M_m·E_m
chemistry,em,mechanics
m·ℓ⁻¹·i⁻²·ε·M_m⁻²·E_m²
m = k₀ · ℓ·i²·ε⁻¹·M_m²·E_m⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "-1", "current": "-2", "permittivity": "1", "molar_mass": "-2", "molar_energy": "2"}
6
cat_activity,current,length,mass,molar_mass,permittivity
m·ℓ·i·ε·M_m·z
chemistry,em,mechanics
m³·ℓ⁻³·i²·ε⁻¹·M_m⁻⁴·z⁻⁴
ε = k₀ · m³·ℓ⁻³·i²·M_m⁻⁴·z⁻⁴
null
0
3
4
17
14.4
-5.4
false
{"mass": "3", "length": "-3", "current": "2", "permittivity": "-1", "molar_mass": "-4", "cat_activity": "-4"}
6
concentration,current,length,mass,molar_energy,permittivity
m·ℓ·i·ε·c_n·E_m
chemistry,em,mechanics
m·ℓ⁻⁵·i²·ε⁻¹·c_n⁻²·E_m⁻²
m = k₀ · ℓ⁵·i⁻²·ε·c_n²·E_m²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "length": "-5", "current": "2", "permittivity": "-1", "concentration": "-2", "molar_energy": "-2"}
6
cat_activity,concentration,current,length,mass,permittivity
m·ℓ·i·ε·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁹·i⁻²·ε·c_n⁻⁴·z⁴
m = k₀ · ℓ⁹·i²·ε⁻¹·c_n⁴·z⁻⁴
null
0
3
9
21
19.7
-10.7
false
{"mass": "1", "length": "-9", "current": "-2", "permittivity": "1", "concentration": "-4", "cat_activity": "4"}
7
boltzmann,current,gas_constant,length,mass,molar_energy,permittivity
m·ℓ·i·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m·ℓ·i²·ε⁻¹·E_m⁻²·R²·k_B⁻²
m = k₀ · ℓ⁻¹·i⁻²·ε·E_m²·R⁻²·k_B²
null
1
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "1", "current": "2", "permittivity": "-1", "molar_energy": "-2", "gas_constant": "2", "boltzmann": "-2"}
6
cat_activity,current,length,mass,molar_energy,permittivity
m·ℓ·i·ε·E_m·z
chemistry,em,mechanics
m·ℓ⁻¹·i⁶·ε⁻³·E_m⁻⁴·z⁻⁴
m = k₀ · ℓ·i⁻⁶·ε³·E_m⁴·z⁴
null
0
3
6
19
16.8
-7.8
false
{"mass": "1", "length": "-1", "current": "6", "permittivity": "-3", "molar_energy": "-4", "cat_activity": "-4"}
6
avogadro,current,length,mass,molar_energy,permittivity
m·ℓ·i·ε·E_m·N_A
chemistry,constants,em,mechanics
m·ℓ·i²·ε⁻¹·E_m⁻²·N_A²
m = k₀ · ℓ⁻¹·i⁻²·ε·E_m²·N_A⁻²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "1", "current": "2", "permittivity": "-1", "molar_energy": "-2", "avogadro": "2"}
7
boltzmann,cat_activity,current,gas_constant,length,mass,permittivity
m·ℓ·i·ε·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ³·i⁻²·ε·R⁴·z⁴·k_B⁻⁴
m = k₀ · ℓ⁻³·i²·ε⁻¹·R⁻⁴·z⁻⁴·k_B⁴
null
1
4
4
19
16.7
-8.2
false
{"mass": "1", "length": "3", "current": "-2", "permittivity": "1", "gas_constant": "4", "cat_activity": "4", "boltzmann": "-4"}
6
avogadro,cat_activity,current,length,mass,permittivity
m·ℓ·i·ε·z·N_A
chemistry,constants,em,mechanics
m·ℓ³·i⁻²·ε·z⁴·N_A⁴
m = k₀ · ℓ⁻³·i²·ε⁻¹·z⁻⁴·N_A⁻⁴
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "length": "3", "current": "-2", "permittivity": "1", "cat_activity": "4", "avogadro": "4"}
5
current,length,light_speed,mass,permittivity
m·ℓ·i·ε·c₀
constants,em,mechanics
m·ℓ⁻¹·i⁻²·ε·c₀⁴
m = k₀ · ℓ·i²·ε⁻¹·c₀⁻⁴
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "-1", "current": "-2", "permittivity": "1", "light_speed": "4"}
5
current,grav_const,length,mass,permittivity
m·ℓ·i·ε·G
constants,em,mechanics
m³·ℓ⁻³·i⁻²·ε·G²
ε = k₀ · m⁻³·ℓ³·i²·G⁻²
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "length": "-3", "current": "-2", "permittivity": "1", "grav_const": "2"}
5
current,length,mass,permittivity,planck
m·ℓ·i·ε·h
constants,em,mechanics
m³·ℓ⁵·i²·ε⁻¹·h⁻⁴
ε = k₀ · m³·ℓ⁵·i²·h⁻⁴
null
1
3
5
15
13.2
-4.2
false
{"mass": "3", "length": "5", "current": "2", "permittivity": "-1", "planck": "-4"}
5
current,elem_charge,length,mass,permittivity
m·ℓ·i·ε·e
constants,em,mechanics
m·ℓ³·i²·ε·e⁻⁴
m = k₀ · ℓ⁻³·i⁻²·ε⁻¹·e⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "length": "3", "current": "2", "permittivity": "1", "elem_charge": "-4"}
5
conductivity,current,length,mass,permeability
m·ℓ·i·μ₀·σ
em,mechanics
m·ℓ⁻³·i⁻²·μ₀⁻³·σ⁻²
m = k₀ · ℓ³·i²·μ₀³·σ²
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "length": "-3", "current": "-2", "permeability": "-3", "conductivity": "-2"}
5
current,length,mass,permeability,resistivity
m·ℓ·i·μ₀·ρ_e
em,mechanics
m·ℓ⁻³·i⁻²·μ₀⁻³·ρ_e²
m = k₀ · ℓ³·i²·μ₀³·ρ_e⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "length": "-3", "current": "-2", "permeability": "-3", "resistivity": "2"}
6
amount,cat_activity,current,length,mass,permeability
m·ℓ·i·μ₀·n·z
chemistry,em,mechanics
m·ℓ·i⁻²·μ₀⁻¹·n⁻²·z²
m = k₀ · ℓ⁻¹·i²·μ₀·n²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "1", "current": "-2", "permeability": "-1", "amount": "-2", "cat_activity": "2"}
6
current,length,mass,molar_energy,molar_mass,permeability
m·ℓ·i·μ₀·M_m·E_m
chemistry,em,mechanics
m·ℓ⁻¹·i⁻²·μ₀⁻¹·M_m⁻¹·E_m
m = k₀ · ℓ·i²·μ₀·M_m·E_m⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "length": "-1", "current": "-2", "permeability": "-1", "molar_mass": "-1", "molar_energy": "1"}
6
cat_activity,current,length,mass,molar_mass,permeability
m·ℓ·i·μ₀·M_m·z
chemistry,em,mechanics
m·ℓ⁻¹·i²·μ₀·M_m⁻²·z⁻²
m = k₀ · ℓ·i⁻²·μ₀⁻¹·M_m²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "-1", "current": "2", "permeability": "1", "molar_mass": "-2", "cat_activity": "-2"}
6
cat_activity,concentration,current,length,mass,permeability
m·ℓ·i·μ₀·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁵·i⁻²·μ₀⁻¹·c_n⁻²·z²
m = k₀ · ℓ⁵·i²·μ₀·c_n²·z⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "length": "-5", "current": "-2", "permeability": "-1", "concentration": "-2", "cat_activity": "2"}
6
cat_activity,current,length,mass,molar_energy,permeability
m·ℓ·i·μ₀·E_m·z
chemistry,em,mechanics
m·ℓ⁻¹·i⁻⁶·μ₀⁻³·E_m²·z²
m = k₀ · ℓ·i⁶·μ₀³·E_m⁻²·z⁻²
null
0
3
6
15
14
-5
false
{"mass": "1", "length": "-1", "current": "-6", "permeability": "-3", "molar_energy": "2", "cat_activity": "2"}
7
boltzmann,cat_activity,current,gas_constant,length,mass,permeability
m·ℓ·i·μ₀·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ·i⁻²·μ₀⁻¹·R²·z²·k_B⁻²
m = k₀ · ℓ⁻¹·i²·μ₀·R⁻²·z⁻²·k_B²
null
1
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "1", "current": "-2", "permeability": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,cat_activity,current,length,mass,permeability
m·ℓ·i·μ₀·z·N_A
chemistry,constants,em,mechanics
m·ℓ·i⁻²·μ₀⁻¹·z²·N_A²
m = k₀ · ℓ⁻¹·i²·μ₀·z⁻²·N_A⁻²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "1", "current": "-2", "permeability": "-1", "cat_activity": "2", "avogadro": "2"}
5
current,length,light_speed,mass,permeability
m·ℓ·i·μ₀·c₀
constants,em,mechanics
m·ℓ⁻¹·i⁻²·μ₀⁻¹·c₀²
m = k₀ · ℓ·i²·μ₀·c₀⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "-1", "current": "-2", "permeability": "-1", "light_speed": "2"}
5
current,grav_const,length,mass,permeability
m·ℓ·i·μ₀·G
constants,em,mechanics
m²·ℓ⁻²·i⁻²·μ₀⁻¹·G
μ₀ = k₀ · m²·ℓ⁻²·i⁻²·G
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "length": "-2", "current": "-2", "permeability": "-1", "grav_const": "1"}
5
current,length,mass,permeability,planck
m·ℓ·i·μ₀·h
constants,em,mechanics
m·ℓ³·i²·μ₀·h⁻²
m = k₀ · ℓ⁻³·i⁻²·μ₀⁻¹·h²
null
1
3
3
9
8
1
false
{"mass": "1", "length": "3", "current": "2", "permeability": "1", "planck": "-2"}
6
amount,cat_activity,conductivity,current,length,mass
m·ℓ·i·σ·n·z
chemistry,em,mechanics
m·ℓ³·i⁻²·σ·n⁻³·z³
m = k₀ · ℓ⁻³·i²·σ⁻¹·n³·z⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "length": "3", "current": "-2", "conductivity": "1", "amount": "-3", "cat_activity": "3"}
6
cat_activity,conductivity,current,length,mass,molar_mass
m·ℓ·i·σ·M_m·z
chemistry,em,mechanics
m²·ℓ⁻³·i²·σ⁻¹·M_m⁻³·z⁻³
σ = k₀ · m²·ℓ⁻³·i²·M_m⁻³·z⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "length": "-3", "current": "2", "conductivity": "-1", "molar_mass": "-3", "cat_activity": "-3"}
6
concentration,conductivity,current,length,mass,molar_energy
m·ℓ·i·σ·c_n·E_m
chemistry,em,mechanics
m·ℓ⁻⁹·i⁴·σ⁻²·c_n⁻³·E_m⁻³
m = k₀ · ℓ⁹·i⁻⁴·σ²·c_n³·E_m³
null
0
3
9
22
20.4
-11.4
false
{"mass": "1", "length": "-9", "current": "4", "conductivity": "-2", "concentration": "-3", "molar_energy": "-3"}
6
cat_activity,concentration,conductivity,current,length,mass
m·ℓ·i·σ·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁶·i⁻²·σ·c_n⁻³·z³
m = k₀ · ℓ⁶·i²·σ⁻¹·c_n³·z⁻³
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "length": "-6", "current": "-2", "conductivity": "1", "concentration": "-3", "cat_activity": "3"}
7
boltzmann,cat_activity,conductivity,current,gas_constant,length,mass
m·ℓ·i·σ·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ³·i⁻²·σ·R³·z³·k_B⁻³
m = k₀ · ℓ⁻³·i²·σ⁻¹·R⁻³·z⁻³·k_B³
null
1
4
3
16
14.1
-5.6
false
{"mass": "1", "length": "3", "current": "-2", "conductivity": "1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
6
avogadro,cat_activity,conductivity,current,length,mass
m·ℓ·i·σ·z·N_A
chemistry,constants,em,mechanics
m·ℓ³·i⁻²·σ·z³·N_A³
m = k₀ · ℓ⁻³·i²·σ⁻¹·z⁻³·N_A⁻³
null
1
4
3
13
11.7
-3.2
false
{"mass": "1", "length": "3", "current": "-2", "conductivity": "1", "cat_activity": "3", "avogadro": "3"}
5
conductivity,current,grav_const,length,mass
m·ℓ·i·σ·G
constants,em,mechanics
m⁵·ℓ⁻³·i⁻⁴·σ²·G³
σ = k₀ · m⁻⁵ᐟ²·ℓ³ᐟ²·i²·G⁻³ᐟ²
null
1
3
5
17
14.6
-5.6
false
{"mass": "5", "length": "-3", "current": "-4", "conductivity": "2", "grav_const": "3"}
5
conductivity,current,length,mass,planck
m·ℓ·i·σ·h
constants,em,mechanics
m²·ℓ³·i²·σ⁻¹·h⁻³
σ = k₀ · m²·ℓ³·i²·h⁻³
null
1
3
3
11
9.4
-0.4
false
{"mass": "2", "length": "3", "current": "2", "conductivity": "-1", "planck": "-3"}
5
conductivity,current,elem_charge,length,mass
m·ℓ·i·σ·e
constants,em,mechanics
m·ℓ³·i·σ·e⁻³
m = k₀ · ℓ⁻³·i⁻¹·σ⁻¹·e³
null
1
3
3
9
8
1
false
{"mass": "1", "length": "3", "current": "1", "conductivity": "1", "elem_charge": "-3"}
6
amount,cat_activity,current,length,mass,resistivity
m·ℓ·i·ρ_e·n·z
chemistry,em,mechanics
m·ℓ³·i⁻²·ρ_e⁻¹·n⁻³·z³
m = k₀ · ℓ⁻³·i²·ρ_e·n³·z⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "length": "3", "current": "-2", "resistivity": "-1", "amount": "-3", "cat_activity": "3"}
6
cat_activity,current,length,mass,molar_mass,resistivity
m·ℓ·i·ρ_e·M_m·z
chemistry,em,mechanics
m²·ℓ⁻³·i²·ρ_e·M_m⁻³·z⁻³
ρ_e = k₀ · m⁻²·ℓ³·i⁻²·M_m³·z³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "length": "-3", "current": "2", "resistivity": "1", "molar_mass": "-3", "cat_activity": "-3"}
6
concentration,current,length,mass,molar_energy,resistivity
m·ℓ·i·ρ_e·c_n·E_m
chemistry,em,mechanics
m·ℓ⁻⁹·i⁴·ρ_e²·c_n⁻³·E_m⁻³
m = k₀ · ℓ⁹·i⁻⁴·ρ_e⁻²·c_n³·E_m³
null
0
3
9
22
20.4
-11.4
false
{"mass": "1", "length": "-9", "current": "4", "resistivity": "2", "concentration": "-3", "molar_energy": "-3"}
6
cat_activity,concentration,current,length,mass,resistivity
m·ℓ·i·ρ_e·c_n·z
chemistry,em,mechanics
m·ℓ⁻⁶·i⁻²·ρ_e⁻¹·c_n⁻³·z³
m = k₀ · ℓ⁶·i²·ρ_e·c_n³·z⁻³
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "length": "-6", "current": "-2", "resistivity": "-1", "concentration": "-3", "cat_activity": "3"}
7
boltzmann,cat_activity,current,gas_constant,length,mass,resistivity
m·ℓ·i·ρ_e·R·z·k_B
chemistry,constants,em,mechanics
m·ℓ³·i⁻²·ρ_e⁻¹·R³·z³·k_B⁻³
m = k₀ · ℓ⁻³·i²·ρ_e·R⁻³·z⁻³·k_B³
null
1
4
3
16
14.1
-5.6
false
{"mass": "1", "length": "3", "current": "-2", "resistivity": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
6
avogadro,cat_activity,current,length,mass,resistivity
m·ℓ·i·ρ_e·z·N_A
chemistry,constants,em,mechanics
m·ℓ³·i⁻²·ρ_e⁻¹·z³·N_A³
m = k₀ · ℓ⁻³·i²·ρ_e·z⁻³·N_A⁻³
null
1
4
3
13
11.7
-3.2
false
{"mass": "1", "length": "3", "current": "-2", "resistivity": "-1", "cat_activity": "3", "avogadro": "3"}
5
current,grav_const,length,mass,resistivity
m·ℓ·i·ρ_e·G
constants,em,mechanics
m⁵·ℓ⁻³·i⁻⁴·ρ_e⁻²·G³
ρ_e = k₀ · m⁵ᐟ²·ℓ⁻³ᐟ²·i⁻²·G³ᐟ²
null
1
3
5
17
14.6
-5.6
false
{"mass": "5", "length": "-3", "current": "-4", "resistivity": "-2", "grav_const": "3"}
5
current,length,mass,planck,resistivity
m·ℓ·i·ρ_e·h
constants,em,mechanics
m²·ℓ³·i²·ρ_e·h⁻³
ρ_e = k₀ · m⁻²·ℓ⁻³·i⁻²·h³
null
1
3
3
11
9.4
-0.4
false
{"mass": "2", "length": "3", "current": "2", "resistivity": "1", "planck": "-3"}
5
current,elem_charge,length,mass,resistivity
m·ℓ·i·ρ_e·e
constants,em,mechanics
m·ℓ³·i·ρ_e⁻¹·e⁻³
m = k₀ · ℓ⁻³·i⁻¹·ρ_e·e³
null
1
3
3
9
8
1
false
{"mass": "1", "length": "3", "current": "1", "resistivity": "-1", "elem_charge": "-3"}
6
amount,current,elem_charge,length,mass,molar_energy
m·ℓ·i·n·E_m·e
chemistry,constants,em,mechanics
m·ℓ²·i²·n⁻¹·E_m⁻¹·e⁻²
m = k₀ · ℓ⁻²·i⁻²·n·E_m·e²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "current": "2", "amount": "-1", "molar_energy": "-1", "elem_charge": "-2"}
6
concentration,current,elem_charge,length,mass,molar_energy
m·ℓ·i·c_n·E_m·e
chemistry,constants,em,mechanics
m·ℓ⁻¹·i²·c_n⁻¹·E_m⁻¹·e⁻²
m = k₀ · ℓ·i⁻²·c_n·E_m·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "length": "-1", "current": "2", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-2"}
7
boltzmann,current,elem_charge,gas_constant,length,mass,molar_energy
m·ℓ·i·E_m·R·k_B·e
chemistry,constants,em,mechanics
m·ℓ²·i²·E_m⁻¹·R·k_B⁻¹·e⁻²
m = k₀ · ℓ⁻²·i⁻²·E_m·R⁻¹·k_B·e²
null
2
4
2
10
10.4
-3.4
false
{"mass": "1", "length": "2", "current": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1", "elem_charge": "-2"}
6
cat_activity,current,elem_charge,length,mass,molar_energy
m·ℓ·i·E_m·z·e
chemistry,constants,em,mechanics
m·ℓ²·i³·E_m⁻¹·z⁻¹·e⁻³
m = k₀ · ℓ⁻²·i⁻³·E_m·z·e³
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "length": "2", "current": "3", "molar_energy": "-1", "cat_activity": "-1", "elem_charge": "-3"}
6
avogadro,current,elem_charge,length,mass,molar_energy
m·ℓ·i·E_m·e·N_A
chemistry,constants,em,mechanics
m·ℓ²·i²·E_m⁻¹·e⁻²·N_A
m = k₀ · ℓ⁻²·i⁻²·E_m·e²·N_A⁻¹
null
2
4
2
9
9.4
-2.4
false
{"mass": "1", "length": "2", "current": "2", "molar_energy": "-1", "elem_charge": "-2", "avogadro": "1"}
5
current,elem_charge,grav_const,length,mass
m·ℓ·i·G·e
constants,em,mechanics
m·ℓ⁻³·i⁻²·G·e²
m = k₀ · ℓ³·i²·G⁻¹·e⁻²
null
2
3
3
9
9
-1.5
false
{"mass": "1", "length": "-3", "current": "-2", "grav_const": "1", "elem_charge": "2"}