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
7
bfield,concentration,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·B·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ·Θ·B⁻²·c_n·R·e⁻²
m = k₀ · ℓ⁻¹·Θ⁻¹·B²·c_n⁻¹·R⁻¹·e²
null
1
5
2
9
9.3
-1.3
false
{"mass": "1", "length": "1", "temperature": "1", "bfield": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-2"}
7
bfield,cat_activity,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·B·R·z·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁻²·Θ·B⁻³·R·z·e⁻³
Θ = k₀ · m⁻²·ℓ²·B³·R⁻¹·z⁻¹·e³
null
1
5
3
13
12.6
-4.6
false
{"mass": "2", "length": "-2", "temperature": "1", "bfield": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-3"}
7
avogadro,bfield,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·B·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·Θ·B⁻²·R·e⁻²·N_A⁻¹
m = k₀ · ℓ²·Θ⁻¹·B²·R⁻¹·e²·N_A
null
2
5
2
10
11
-4.5
false
{"mass": "1", "length": "-2", "temperature": "1", "bfield": "-2", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"}
6
bfield,boltzmann,elem_charge,length,mass,temperature
m·ℓ·Θ·B·k_B·e
constants,em,mechanics,thermo
m·ℓ⁻²·Θ·B⁻²·k_B·e⁻²
m = k₀ · ℓ²·Θ⁻¹·B²·k_B⁻¹·e²
null
2
4
2
9
9.4
-2.4
false
{"mass": "1", "length": "-2", "temperature": "1", "bfield": "-2", "boltzmann": "1", "elem_charge": "-2"}
7
gas_constant,length,mag_flux,mass,molar_mass,permeability,temperature
m·ℓ·Θ·Φ·μ₀·M_m·R
chemistry,em,mechanics,thermo
m·ℓ·Θ·Φ⁻²·μ₀·M_m⁻¹·R
m = k₀ · ℓ⁻¹·Θ⁻¹·Φ²·μ₀⁻¹·M_m·R⁻¹
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "1", "temperature": "1", "mag_flux": "-2", "permeability": "1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,gas_constant,length,mag_flux,mass,permeability,temperature
m·ℓ·Θ·Φ·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ²·Φ⁻⁶·μ₀³·R²·z²
m = k₀ · ℓ⁻⁵·Θ⁻²·Φ⁶·μ₀⁻³·R⁻²·z⁻²
null
0
4
6
21
19.1
-10.6
false
{"mass": "1", "length": "5", "temperature": "2", "mag_flux": "-6", "permeability": "3", "gas_constant": "2", "cat_activity": "2"}
7
concentration,conductivity,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ³·Θ·Φ⁻⁴·σ⁻²·c_n·R
m = k₀ · ℓ⁻³·Θ⁻¹·Φ⁴·σ²·c_n⁻¹·R⁻¹
null
0
4
4
13
12.5
-4
false
{"mass": "1", "length": "3", "temperature": "1", "mag_flux": "-4", "conductivity": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,conductivity,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·σ·R·z
chemistry,em,mechanics,thermo
m²·ℓ·Θ·Φ⁻⁶·σ⁻³·R·z
ℓ = k₀ · m⁻²·Θ⁻¹·Φ⁶·σ³·R⁻¹·z⁻¹
null
0
4
6
15
14.9
-6.4
false
{"mass": "2", "length": "1", "temperature": "1", "mag_flux": "-6", "conductivity": "-3", "gas_constant": "1", "cat_activity": "1"}
7
concentration,gas_constant,length,mag_flux,mass,resistivity,temperature
m·ℓ·Θ·Φ·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ³·Θ·Φ⁻⁴·ρ_e²·c_n·R
m = k₀ · ℓ⁻³·Θ⁻¹·Φ⁴·ρ_e⁻²·c_n⁻¹·R⁻¹
null
0
4
4
13
12.5
-4
false
{"mass": "1", "length": "3", "temperature": "1", "mag_flux": "-4", "resistivity": "2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,gas_constant,length,mag_flux,mass,resistivity,temperature
m·ℓ·Θ·Φ·ρ_e·R·z
chemistry,em,mechanics,thermo
m²·ℓ·Θ·Φ⁻⁶·ρ_e³·R·z
ℓ = k₀ · m⁻²·Θ⁻¹·Φ⁶·ρ_e⁻³·R⁻¹·z⁻¹
null
0
4
6
15
14.9
-6.4
false
{"mass": "2", "length": "1", "temperature": "1", "mag_flux": "-6", "resistivity": "3", "gas_constant": "1", "cat_activity": "1"}
7
amount,elem_charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·Φ⁻²·n·R·e⁻²
m = k₀ · ℓ⁻²·Θ⁻¹·Φ²·n⁻¹·R⁻¹·e²
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "temperature": "1", "mag_flux": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-2"}
7
elem_charge,gas_constant,length,mag_flux,mass,molar_mass,temperature
m·ℓ·Θ·Φ·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·ℓ²·Θ·Φ⁻²·M_m⁻¹·R·e⁻²
Θ = k₀ · m⁻²·ℓ⁻²·Φ²·M_m·R⁻¹·e²
null
1
5
2
11
10.7
-2.7
false
{"mass": "2", "length": "2", "temperature": "1", "mag_flux": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"}
7
concentration,elem_charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁵·Θ·Φ⁻²·c_n·R·e⁻²
m = k₀ · ℓ⁻⁵·Θ⁻¹·Φ²·c_n⁻¹·R⁻¹·e²
null
1
5
5
13
13.6
-5.6
false
{"mass": "1", "length": "5", "temperature": "1", "mag_flux": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-2"}
7
cat_activity,elem_charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·R·z·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁴·Θ·Φ⁻³·R·z·e⁻³
Θ = k₀ · m⁻²·ℓ⁻⁴·Φ³·R⁻¹·z⁻¹·e³
null
1
5
4
15
14.5
-6.5
false
{"mass": "2", "length": "4", "temperature": "1", "mag_flux": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-3"}
7
avogadro,elem_charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·Φ⁻²·R·e⁻²·N_A⁻¹
m = k₀ · ℓ⁻²·Θ⁻¹·Φ²·R⁻¹·e²·N_A
null
2
5
2
10
11
-4.5
false
{"mass": "1", "length": "2", "temperature": "1", "mag_flux": "-2", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"}
6
boltzmann,elem_charge,length,mag_flux,mass,temperature
m·ℓ·Θ·Φ·k_B·e
constants,em,mechanics,thermo
m·ℓ²·Θ·Φ⁻²·k_B·e⁻²
m = k₀ · ℓ⁻²·Θ⁻¹·Φ²·k_B⁻¹·e²
null
2
4
2
9
9.4
-2.4
false
{"mass": "1", "length": "2", "temperature": "1", "mag_flux": "-2", "boltzmann": "1", "elem_charge": "-2"}
7
concentration,gas_constant,length,mass,permeability,permittivity,temperature
m·ℓ·Θ·ε·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·ε⁻¹·μ₀⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·Θ·ε·μ₀·c_n·R
null
0
4
3
9
9.2
-0.7
false
{"mass": "1", "length": "-3", "temperature": "-1", "permittivity": "-1", "permeability": "-1", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,length,mass,permeability,permittivity,temperature
m·ℓ·Θ·ε·μ₀·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁻²·Θ⁻²·ε⁻³·μ₀⁻³·R⁻²·z⁻²
m = k₀ · ℓ·Θ·ε³ᐟ²·μ₀³ᐟ²·R·z
null
0
4
3
16
14.1
-5.6
false
{"mass": "2", "length": "-2", "temperature": "-2", "permittivity": "-3", "permeability": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
amount,conductivity,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·ε·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻²·σ²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·Θ·ε²·σ⁻²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-2", "conductivity": "2", "amount": "-1", "gas_constant": "-1"}
7
concentration,conductivity,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·ε·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·ε⁻²·σ²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·Θ·ε²·σ⁻²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "temperature": "-1", "permittivity": "-2", "conductivity": "2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,conductivity,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·ε·σ·R·z
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻³·σ³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·Θ·ε³·σ⁻³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-3", "conductivity": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,conductivity,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·ε·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻²·σ²·R⁻¹·N_A
m = k₀ · ℓ⁻²·Θ·ε²·σ⁻²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-2", "conductivity": "2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,conductivity,length,mass,permittivity,temperature
m·ℓ·Θ·ε·σ·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻²·σ²·k_B⁻¹
m = k₀ · ℓ⁻²·Θ·ε²·σ⁻²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-2", "conductivity": "2", "boltzmann": "-1"}
7
amount,gas_constant,length,mass,permittivity,resistivity,temperature
m·ℓ·Θ·ε·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻²·ρ_e⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·Θ·ε²·ρ_e²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-2", "resistivity": "-2", "amount": "-1", "gas_constant": "-1"}
7
concentration,gas_constant,length,mass,permittivity,resistivity,temperature
m·ℓ·Θ·ε·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·ε⁻²·ρ_e⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·Θ·ε²·ρ_e²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "temperature": "-1", "permittivity": "-2", "resistivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,length,mass,permittivity,resistivity,temperature
m·ℓ·Θ·ε·ρ_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻³·ρ_e⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·Θ·ε³·ρ_e³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-3", "resistivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,gas_constant,length,mass,permittivity,resistivity,temperature
m·ℓ·Θ·ε·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻²·ρ_e⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻²·Θ·ε²·ρ_e²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-2", "resistivity": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,length,mass,permittivity,resistivity,temperature
m·ℓ·Θ·ε·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·ε⁻²·ρ_e⁻²·k_B⁻¹
m = k₀ · ℓ⁻²·Θ·ε²·ρ_e²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "temperature": "-1", "permittivity": "-2", "resistivity": "-2", "boltzmann": "-1"}
7
elem_charge,gas_constant,length,mass,molar_mass,permittivity,temperature
m·ℓ·Θ·ε·M_m·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ·Θ·ε·M_m⁻¹·R·e⁻²
m = k₀ · ℓ⁻¹·Θ⁻¹·ε⁻¹·M_m·R⁻¹·e²
null
1
5
2
8
8.6
-0.6
false
{"mass": "1", "length": "1", "temperature": "1", "permittivity": "1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"}
7
cat_activity,elem_charge,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·ε·R·z·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁵·Θ²·ε³·R²·z²·e⁻⁶
m = k₀ · ℓ⁻⁵·Θ⁻²·ε⁻³·R⁻²·z⁻²·e⁶
null
1
5
6
21
19.7
-11.7
false
{"mass": "1", "length": "5", "temperature": "2", "permittivity": "3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-6"}
7
amount,conductivity,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·μ₀·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·μ₀⁻²·σ⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ²·Θ·μ₀²·σ²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "-2", "temperature": "-1", "permeability": "-2", "conductivity": "-2", "amount": "-1", "gas_constant": "-1"}
7
concentration,conductivity,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·μ₀·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·Θ⁻¹·μ₀⁻²·σ⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁵·Θ·μ₀²·σ²·c_n·R
null
0
4
5
13
13
-4.5
false
{"mass": "1", "length": "-5", "temperature": "-1", "permeability": "-2", "conductivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,conductivity,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·μ₀·σ·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·Θ⁻¹·μ₀⁻³·σ⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁴·Θ·μ₀³·σ³·R·z
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "temperature": "-1", "permeability": "-3", "conductivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,conductivity,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·μ₀·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·μ₀⁻²·σ⁻²·R⁻¹·N_A
m = k₀ · ℓ²·Θ·μ₀²·σ²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "-2", "temperature": "-1", "permeability": "-2", "conductivity": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,conductivity,length,mass,permeability,temperature
m·ℓ·Θ·μ₀·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·μ₀⁻²·σ⁻²·k_B⁻¹
m = k₀ · ℓ²·Θ·μ₀²·σ²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "-2", "temperature": "-1", "permeability": "-2", "conductivity": "-2", "boltzmann": "-1"}
7
amount,gas_constant,length,mass,permeability,resistivity,temperature
m·ℓ·Θ·μ₀·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·μ₀⁻²·ρ_e²·n⁻¹·R⁻¹
m = k₀ · ℓ²·Θ·μ₀²·ρ_e⁻²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "-2", "temperature": "-1", "permeability": "-2", "resistivity": "2", "amount": "-1", "gas_constant": "-1"}
7
concentration,gas_constant,length,mass,permeability,resistivity,temperature
m·ℓ·Θ·μ₀·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·Θ⁻¹·μ₀⁻²·ρ_e²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁵·Θ·μ₀²·ρ_e⁻²·c_n·R
null
0
4
5
13
13
-4.5
false
{"mass": "1", "length": "-5", "temperature": "-1", "permeability": "-2", "resistivity": "2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,length,mass,permeability,resistivity,temperature
m·ℓ·Θ·μ₀·ρ_e·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·Θ⁻¹·μ₀⁻³·ρ_e³·R⁻¹·z⁻¹
m = k₀ · ℓ⁴·Θ·μ₀³·ρ_e⁻³·R·z
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "temperature": "-1", "permeability": "-3", "resistivity": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,gas_constant,length,mass,permeability,resistivity,temperature
m·ℓ·Θ·μ₀·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·μ₀⁻²·ρ_e²·R⁻¹·N_A
m = k₀ · ℓ²·Θ·μ₀²·ρ_e⁻²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "-2", "temperature": "-1", "permeability": "-2", "resistivity": "2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,length,mass,permeability,resistivity,temperature
m·ℓ·Θ·μ₀·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·μ₀⁻²·ρ_e²·k_B⁻¹
m = k₀ · ℓ²·Θ·μ₀²·ρ_e⁻²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "-2", "temperature": "-1", "permeability": "-2", "resistivity": "2", "boltzmann": "-1"}
7
amount,conductivity,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·σ·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ·σ²·n·R·e⁻⁴
m = k₀ · ℓ⁻⁴·Θ⁻¹·σ⁻²·n⁻¹·R⁻¹·e⁴
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "temperature": "1", "conductivity": "2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"}
7
conductivity,elem_charge,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·σ·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁴·Θ·σ²·M_m⁻¹·R·e⁻⁴
Θ = k₀ · m⁻²·ℓ⁻⁴·σ⁻²·M_m·R⁻¹·e⁴
null
1
5
4
15
14.5
-6.5
false
{"mass": "2", "length": "4", "temperature": "1", "conductivity": "2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"}
7
concentration,conductivity,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·σ·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁷·Θ·σ²·c_n·R·e⁻⁴
m = k₀ · ℓ⁻⁷·Θ⁻¹·σ⁻²·c_n⁻¹·R⁻¹·e⁴
null
1
5
7
17
17.4
-9.4
false
{"mass": "1", "length": "7", "temperature": "1", "conductivity": "2", "concentration": "1", "gas_constant": "1", "elem_charge": "-4"}
7
cat_activity,conductivity,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·σ·R·z·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁷·Θ·σ³·R·z·e⁻⁶
Θ = k₀ · m⁻²·ℓ⁻⁷·σ⁻³·R⁻¹·z⁻¹·e⁶
null
1
5
7
21
20.2
-12.2
false
{"mass": "2", "length": "7", "temperature": "1", "conductivity": "3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-6"}
7
avogadro,conductivity,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·σ·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ·σ²·R·e⁻⁴·N_A⁻¹
m = k₀ · ℓ⁻⁴·Θ⁻¹·σ⁻²·R⁻¹·e⁴·N_A
null
2
5
4
14
14.8
-8.3
false
{"mass": "1", "length": "4", "temperature": "1", "conductivity": "2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"}
6
boltzmann,conductivity,elem_charge,length,mass,temperature
m·ℓ·Θ·σ·k_B·e
constants,em,mechanics,thermo
m·ℓ⁴·Θ·σ²·k_B·e⁻⁴
m = k₀ · ℓ⁻⁴·Θ⁻¹·σ⁻²·k_B⁻¹·e⁴
null
2
4
4
13
13.2
-6.2
false
{"mass": "1", "length": "4", "temperature": "1", "conductivity": "2", "boltzmann": "1", "elem_charge": "-4"}
7
amount,elem_charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·ρ_e·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ·ρ_e⁻²·n·R·e⁻⁴
m = k₀ · ℓ⁻⁴·Θ⁻¹·ρ_e²·n⁻¹·R⁻¹·e⁴
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "temperature": "1", "resistivity": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"}
7
elem_charge,gas_constant,length,mass,molar_mass,resistivity,temperature
m·ℓ·Θ·ρ_e·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁴·Θ·ρ_e⁻²·M_m⁻¹·R·e⁻⁴
Θ = k₀ · m⁻²·ℓ⁻⁴·ρ_e²·M_m·R⁻¹·e⁴
null
1
5
4
15
14.5
-6.5
false
{"mass": "2", "length": "4", "temperature": "1", "resistivity": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"}
7
concentration,elem_charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·ρ_e·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁷·Θ·ρ_e⁻²·c_n·R·e⁻⁴
m = k₀ · ℓ⁻⁷·Θ⁻¹·ρ_e²·c_n⁻¹·R⁻¹·e⁴
null
1
5
7
17
17.4
-9.4
false
{"mass": "1", "length": "7", "temperature": "1", "resistivity": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-4"}
7
cat_activity,elem_charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·ρ_e·R·z·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁷·Θ·ρ_e⁻³·R·z·e⁻⁶
Θ = k₀ · m⁻²·ℓ⁻⁷·ρ_e³·R⁻¹·z⁻¹·e⁶
null
1
5
7
21
20.2
-12.2
false
{"mass": "2", "length": "7", "temperature": "1", "resistivity": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-6"}
7
avogadro,elem_charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·ρ_e·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ·ρ_e⁻²·R·e⁻⁴·N_A⁻¹
m = k₀ · ℓ⁻⁴·Θ⁻¹·ρ_e²·R⁻¹·e⁴·N_A
null
2
5
4
14
14.8
-8.3
false
{"mass": "1", "length": "4", "temperature": "1", "resistivity": "-2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"}
6
boltzmann,elem_charge,length,mass,resistivity,temperature
m·ℓ·Θ·ρ_e·k_B·e
constants,em,mechanics,thermo
m·ℓ⁴·Θ·ρ_e⁻²·k_B·e⁻⁴
m = k₀ · ℓ⁻⁴·Θ⁻¹·ρ_e²·k_B⁻¹·e⁴
null
2
4
4
13
13.2
-6.2
false
{"mass": "1", "length": "4", "temperature": "1", "resistivity": "-2", "boltzmann": "1", "elem_charge": "-4"}
6
amount,cat_activity,gas_constant,length,mass,temperature
m·ℓ·Θ·n·R·z
chemistry,mechanics,thermo
m·ℓ²·Θ⁻¹·n⁻³·R⁻¹·z²
m = k₀ · ℓ⁻²·Θ·n³·R·z⁻²
null
0
3
3
10
9
0
false
{"mass": "1", "length": "2", "temperature": "-1", "amount": "-3", "gas_constant": "-1", "cat_activity": "2"}
6
amount,gas_constant,grav_const,length,mass,temperature
m·ℓ·Θ·n·R·G
chemistry,constants,mechanics,thermo
m²·ℓ⁻¹·Θ⁻¹·n⁻¹·R⁻¹·G
ℓ = k₀ · m²·Θ⁻¹·n⁻¹·R⁻¹·G
null
1
4
2
7
7
1.5
false
{"mass": "2", "length": "-1", "temperature": "-1", "amount": "-1", "gas_constant": "-1", "grav_const": "1"}
6
amount,gas_constant,length,mass,planck,temperature
m·ℓ·Θ·n·R·h
chemistry,constants,mechanics,thermo
m·ℓ²·Θ·n·R·h⁻²
m = k₀ · ℓ⁻²·Θ⁻¹·n⁻¹·R⁻¹·h²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "length": "2", "temperature": "1", "amount": "1", "gas_constant": "1", "planck": "-2"}
6
amount,boltzmann,cat_activity,length,mass,temperature
m·ℓ·Θ·n·z·k_B
chemistry,constants,mechanics,thermo
m·ℓ²·Θ⁻¹·n⁻²·z²·k_B⁻¹
m = k₀ · ℓ⁻²·Θ·n²·z⁻²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "temperature": "-1", "amount": "-2", "cat_activity": "2", "boltzmann": "-1"}
6
cat_activity,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·M_m·R·z
chemistry,mechanics,thermo
m²·ℓ⁻²·Θ·M_m⁻³·R·z⁻²
Θ = k₀ · m⁻²·ℓ²·M_m³·R⁻¹·z²
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "length": "-2", "temperature": "1", "molar_mass": "-3", "gas_constant": "1", "cat_activity": "-2"}
6
gas_constant,grav_const,length,mass,molar_mass,temperature
m·ℓ·Θ·M_m·R·G
chemistry,constants,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·M_m·R⁻¹·G
m = k₀ · ℓ·Θ·M_m⁻¹·R·G⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "length": "-1", "temperature": "-1", "molar_mass": "1", "gas_constant": "-1", "grav_const": "1"}
6
gas_constant,length,mass,molar_mass,planck,temperature
m·ℓ·Θ·M_m·R·h
chemistry,constants,mechanics,thermo
m²·ℓ²·Θ·M_m⁻¹·R·h⁻²
Θ = k₀ · m⁻²·ℓ⁻²·M_m·R⁻¹·h²
null
1
4
2
9
8.4
0.1
false
{"mass": "2", "length": "2", "temperature": "1", "molar_mass": "-1", "gas_constant": "1", "planck": "-2"}
6
boltzmann,cat_activity,length,mass,molar_mass,temperature
m·ℓ·Θ·M_m·z·k_B
chemistry,constants,mechanics,thermo
m·ℓ⁻²·Θ·M_m⁻²·z⁻²·k_B
m = k₀ · ℓ²·Θ⁻¹·M_m²·z²·k_B⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "-2", "temperature": "1", "molar_mass": "-2", "cat_activity": "-2", "boltzmann": "1"}
6
cat_activity,concentration,gas_constant,length,mass,temperature
m·ℓ·Θ·c_n·R·z
chemistry,mechanics,thermo
m·ℓ⁻⁷·Θ⁻¹·c_n⁻³·R⁻¹·z²
m = k₀ · ℓ⁷·Θ·c_n³·R·z⁻²
null
0
3
7
15
14.5
-5.5
false
{"mass": "1", "length": "-7", "temperature": "-1", "concentration": "-3", "gas_constant": "-1", "cat_activity": "2"}
6
concentration,gas_constant,length,light_speed,mass,temperature
m·ℓ·Θ·c_n·R·c₀
chemistry,constants,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·c_n⁻¹·R⁻¹·c₀²
m = k₀ · ℓ³·Θ·c_n·R·c₀⁻²
null
1
4
3
9
8.9
-0.4
false
{"mass": "1", "length": "-3", "temperature": "-1", "concentration": "-1", "gas_constant": "-1", "light_speed": "2"}
6
concentration,gas_constant,grav_const,length,mass,temperature
m·ℓ·Θ·c_n·R·G
chemistry,constants,mechanics,thermo
m²·ℓ⁻⁴·Θ⁻¹·c_n⁻¹·R⁻¹·G
Θ = k₀ · m²·ℓ⁻⁴·c_n⁻¹·R⁻¹·G
null
1
4
4
10
10.1
-1.6
false
{"mass": "2", "length": "-4", "temperature": "-1", "concentration": "-1", "gas_constant": "-1", "grav_const": "1"}
6
concentration,gas_constant,length,mass,planck,temperature
m·ℓ·Θ·c_n·R·h
chemistry,constants,mechanics,thermo
m·ℓ⁵·Θ·c_n·R·h⁻²
m = k₀ · ℓ⁻⁵·Θ⁻¹·c_n⁻¹·R⁻¹·h²
null
1
4
5
11
11.3
-2.8
false
{"mass": "1", "length": "5", "temperature": "1", "concentration": "1", "gas_constant": "1", "planck": "-2"}
6
boltzmann,cat_activity,concentration,length,mass,temperature
m·ℓ·Θ·c_n·z·k_B
chemistry,constants,mechanics,thermo
m·ℓ⁻⁴·Θ⁻¹·c_n⁻²·z²·k_B⁻¹
m = k₀ · ℓ⁴·Θ·c_n²·z⁻²·k_B
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "-4", "temperature": "-1", "concentration": "-2", "cat_activity": "2", "boltzmann": "-1"}
6
boltzmann,cat_activity,length,mass,molar_energy,temperature
m·ℓ·Θ·E_m·z·k_B
chemistry,constants,mechanics,thermo
m·ℓ²·Θ⁻³·E_m²·z²·k_B⁻³
m = k₀ · ℓ⁻²·Θ³·E_m⁻²·z⁻²·k_B³
null
1
4
3
13
11.7
-3.2
false
{"mass": "1", "length": "2", "temperature": "-3", "molar_energy": "2", "cat_activity": "2", "boltzmann": "-3"}
6
cat_activity,gas_constant,length,light_speed,mass,temperature
m·ℓ·Θ·R·z·c₀
chemistry,constants,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·R⁻¹·z⁻¹·c₀³
m = k₀ · ℓ·Θ·R·z·c₀⁻³
null
1
4
3
8
8.2
0.3
false
{"mass": "1", "length": "-1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1", "light_speed": "3"}
6
cat_activity,gas_constant,grav_const,length,mass,temperature
m·ℓ·Θ·R·z·G
chemistry,constants,mechanics,thermo
m⁵·ℓ⁻⁵·Θ⁻²·R⁻²·z⁻²·G³
Θ = k₀ · m⁵ᐟ²·ℓ⁻⁵ᐟ²·R⁻¹·z⁻¹·G³ᐟ²
null
1
4
5
19
16.9
-8.4
false
{"mass": "5", "length": "-5", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2", "grav_const": "3"}
6
cat_activity,gas_constant,length,mass,planck,temperature
m·ℓ·Θ·R·z·h
chemistry,constants,mechanics,thermo
m²·ℓ⁴·Θ·R·z·h⁻³
Θ = k₀ · m⁻²·ℓ⁻⁴·R⁻¹·z⁻¹·h³
null
1
4
4
12
11.5
-3
false
{"mass": "2", "length": "4", "temperature": "1", "gas_constant": "1", "cat_activity": "1", "planck": "-3"}
6
boltzmann,cat_activity,gas_constant,length,mass,temperature
m·ℓ·Θ·R·z·k_B
chemistry,constants,mechanics,thermo
m·ℓ²·Θ⁻¹·R²·z²·k_B⁻³
m = k₀ · ℓ⁻²·Θ·R⁻²·z⁻²·k_B³
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "length": "2", "temperature": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-3"}
6
avogadro,cat_activity,gas_constant,length,mass,temperature
m·ℓ·Θ·R·z·N_A
chemistry,constants,mechanics,thermo
m·ℓ²·Θ⁻¹·R⁻¹·z²·N_A³
m = k₀ · ℓ⁻²·Θ·R·z⁻²·N_A⁻³
null
1
4
3
10
9.6
-1.1
false
{"mass": "1", "length": "2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "2", "avogadro": "3"}
6
avogadro,gas_constant,grav_const,length,mass,temperature
m·ℓ·Θ·R·G·N_A
chemistry,constants,mechanics,thermo
m²·ℓ⁻¹·Θ⁻¹·R⁻¹·G·N_A
ℓ = k₀ · m²·Θ⁻¹·R⁻¹·G·N_A
null
2
4
2
7
8
-1
false
{"mass": "2", "length": "-1", "temperature": "-1", "gas_constant": "-1", "grav_const": "1", "avogadro": "1"}
6
avogadro,gas_constant,length,mass,planck,temperature
m·ℓ·Θ·R·h·N_A
chemistry,constants,mechanics,thermo
m·ℓ²·Θ·R·h⁻²·N_A⁻¹
m = k₀ · ℓ⁻²·Θ⁻¹·R⁻¹·h²·N_A
null
2
4
2
8
8.7
-1.7
false
{"mass": "1", "length": "2", "temperature": "1", "gas_constant": "1", "planck": "-2", "avogadro": "-1"}
6
avogadro,boltzmann,cat_activity,length,mass,temperature
m·ℓ·Θ·z·k_B·N_A
chemistry,constants,mechanics,thermo
m·ℓ²·Θ⁻¹·z²·k_B⁻¹·N_A²
m = k₀ · ℓ⁻²·Θ·z⁻²·k_B·N_A⁻²
null
2
4
2
9
9.4
-2.4
false
{"mass": "1", "length": "2", "temperature": "-1", "cat_activity": "2", "boltzmann": "-1", "avogadro": "2"}
5
boltzmann,grav_const,length,mass,temperature
m·ℓ·Θ·G·k_B
constants,mechanics,thermo
m²·ℓ⁻¹·Θ⁻¹·G·k_B⁻¹
ℓ = k₀ · m²·Θ⁻¹·G·k_B⁻¹
null
2
3
2
6
6.4
1.1
false
{"mass": "2", "length": "-1", "temperature": "-1", "grav_const": "1", "boltzmann": "-1"}
5
boltzmann,length,mass,planck,temperature
m·ℓ·Θ·h·k_B
constants,mechanics,thermo
m·ℓ²·Θ·h⁻²·k_B
m = k₀ · ℓ⁻²·Θ⁻¹·h²·k_B⁻¹
null
2
3
2
7
7.1
0.4
false
{"mass": "1", "length": "2", "temperature": "1", "planck": "-2", "boltzmann": "1"}
5
entropy,expansion,length,mass,thermal_cond
m·ℓ·S_e·κ·β
mechanics,thermo
m·ℓ⁴·S_e⁻³·κ²·β
m = k₀ · ℓ⁻⁴·S_e³·κ⁻²·β⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "length": "4", "entropy": "-3", "thermal_cond": "2", "expansion": "1"}
6
charge,entropy,length,mass,thermal_cond,voltage
m·ℓ·S_e·κ·q·U
em,mechanics,thermo
m·ℓ⁴·S_e⁻²·κ²·q⁻¹·U⁻¹
m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·q·U
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "charge": "-1", "voltage": "-1"}
6
charge,entropy,length,mass,resistance,thermal_cond
m·ℓ·S_e·κ·q·R
em,mechanics,thermo
m·ℓ³·S_e⁻¹·κ·q⁻²·R⁻¹
m = k₀ · ℓ⁻³·S_e·κ⁻¹·q²·R
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "length": "3", "entropy": "-1", "thermal_cond": "1", "charge": "-2", "resistance": "-1"}
6
capacitance,charge,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·q·C_e
em,mechanics,thermo
m·ℓ⁴·S_e⁻²·κ²·q⁻²·C_e
m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·q²·C_e⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "charge": "-2", "capacitance": "1"}
6
charge,efield,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·q·E_f
em,mechanics,thermo
m·ℓ³·S_e⁻²·κ²·q⁻¹·E_f⁻¹
m = k₀ · ℓ⁻³·S_e²·κ⁻²·q·E_f
null
0
3
3
10
9
0
false
{"mass": "1", "length": "3", "entropy": "-2", "thermal_cond": "2", "charge": "-1", "efield": "-1"}
6
bfield,charge,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·q·B
em,mechanics,thermo
m·ℓ·S_e⁻¹·κ·q⁻¹·B⁻¹
m = k₀ · ℓ⁻¹·S_e·κ⁻¹·q·B
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "length": "1", "entropy": "-1", "thermal_cond": "1", "charge": "-1", "bfield": "-1"}
6
charge,entropy,length,mag_flux,mass,thermal_cond
m·ℓ·S_e·κ·q·Φ
em,mechanics,thermo
m·ℓ³·S_e⁻¹·κ·q⁻¹·Φ⁻¹
m = k₀ · ℓ⁻³·S_e·κ⁻¹·q·Φ
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "length": "3", "entropy": "-1", "thermal_cond": "1", "charge": "-1", "mag_flux": "-1"}
6
charge,entropy,length,mass,permittivity,thermal_cond
m·ℓ·S_e·κ·q·ε
em,mechanics,thermo
m·ℓ⁵·S_e⁻²·κ²·q⁻²·ε
m = k₀ · ℓ⁻⁵·S_e²·κ⁻²·q²·ε⁻¹
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "length": "5", "entropy": "-2", "thermal_cond": "2", "charge": "-2", "permittivity": "1"}
6
charge,conductivity,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·q·σ
em,mechanics,thermo
m·ℓ⁴·S_e⁻¹·κ·q⁻²·σ
m = k₀ · ℓ⁻⁴·S_e·κ⁻¹·q²·σ⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "4", "entropy": "-1", "thermal_cond": "1", "charge": "-2", "conductivity": "1"}
6
charge,entropy,length,mass,resistivity,thermal_cond
m·ℓ·S_e·κ·q·ρ_e
em,mechanics,thermo
m·ℓ⁴·S_e⁻¹·κ·q⁻²·ρ_e⁻¹
m = k₀ · ℓ⁻⁴·S_e·κ⁻¹·q²·ρ_e
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "4", "entropy": "-1", "thermal_cond": "1", "charge": "-2", "resistivity": "-1"}
6
current,entropy,length,mass,thermal_cond,voltage
m·ℓ·S_e·κ·i·U
em,mechanics,thermo
m·ℓ⁵·S_e⁻³·κ³·i⁻¹·U⁻¹
m = k₀ · ℓ⁻⁵·S_e³·κ⁻³·i·U
null
0
3
5
14
12.8
-3.8
false
{"mass": "1", "length": "5", "entropy": "-3", "thermal_cond": "3", "current": "-1", "voltage": "-1"}
6
current,entropy,length,mass,resistance,thermal_cond
m·ℓ·S_e·κ·i·R
em,mechanics,thermo
m·ℓ⁵·S_e⁻³·κ³·i⁻²·R⁻¹
m = k₀ · ℓ⁻⁵·S_e³·κ⁻³·i²·R
null
0
3
5
15
13.5
-4.5
false
{"mass": "1", "length": "5", "entropy": "-3", "thermal_cond": "3", "current": "-2", "resistance": "-1"}
6
capacitance,current,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·i·C_e
em,mechanics,thermo
m·ℓ⁶·S_e⁻⁴·κ⁴·i⁻²·C_e
m = k₀ · ℓ⁻⁶·S_e⁴·κ⁻⁴·i²·C_e⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "1", "length": "6", "entropy": "-4", "thermal_cond": "4", "current": "-2", "capacitance": "1"}
6
current,entropy,inductance,length,mass,thermal_cond
m·ℓ·S_e·κ·i·L_e
em,mechanics,thermo
m·ℓ⁴·S_e⁻²·κ²·i⁻²·L_e⁻¹
m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·i²·L_e
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "current": "-2", "inductance": "-1"}
6
current,efield,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·i·E_f
em,mechanics,thermo
m·ℓ⁴·S_e⁻³·κ³·i⁻¹·E_f⁻¹
m = k₀ · ℓ⁻⁴·S_e³·κ⁻³·i·E_f
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "length": "4", "entropy": "-3", "thermal_cond": "3", "current": "-1", "efield": "-1"}
6
bfield,current,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·i·B
em,mechanics,thermo
m·ℓ²·S_e⁻²·κ²·i⁻¹·B⁻¹
m = k₀ · ℓ⁻²·S_e²·κ⁻²·i·B
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "length": "2", "entropy": "-2", "thermal_cond": "2", "current": "-1", "bfield": "-1"}
6
current,entropy,length,mag_flux,mass,thermal_cond
m·ℓ·S_e·κ·i·Φ
em,mechanics,thermo
m·ℓ⁴·S_e⁻²·κ²·i⁻¹·Φ⁻¹
m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·i·Φ
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "current": "-1", "mag_flux": "-1"}
6
current,entropy,length,mass,permittivity,thermal_cond
m·ℓ·S_e·κ·i·ε
em,mechanics,thermo
m·ℓ⁷·S_e⁻⁴·κ⁴·i⁻²·ε
m = k₀ · ℓ⁻⁷·S_e⁴·κ⁻⁴·i²·ε⁻¹
null
0
3
7
19
17.3
-8.3
false
{"mass": "1", "length": "7", "entropy": "-4", "thermal_cond": "4", "current": "-2", "permittivity": "1"}
6
current,entropy,length,mass,permeability,thermal_cond
m·ℓ·S_e·κ·i·μ₀
em,mechanics,thermo
m·ℓ³·S_e⁻²·κ²·i⁻²·μ₀⁻¹
m = k₀ · ℓ⁻³·S_e²·κ⁻²·i²·μ₀
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "length": "3", "entropy": "-2", "thermal_cond": "2", "current": "-2", "permeability": "-1"}
6
conductivity,current,entropy,length,mass,thermal_cond
m·ℓ·S_e·κ·i·σ
em,mechanics,thermo
m·ℓ⁶·S_e⁻³·κ³·i⁻²·σ
m = k₀ · ℓ⁻⁶·S_e³·κ⁻³·i²·σ⁻¹
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "length": "6", "entropy": "-3", "thermal_cond": "3", "current": "-2", "conductivity": "1"}
6
current,entropy,length,mass,resistivity,thermal_cond
m·ℓ·S_e·κ·i·ρ_e
em,mechanics,thermo
m·ℓ⁶·S_e⁻³·κ³·i⁻²·ρ_e⁻¹
m = k₀ · ℓ⁻⁶·S_e³·κ⁻³·i²·ρ_e
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "length": "6", "entropy": "-3", "thermal_cond": "3", "current": "-2", "resistivity": "-1"}
6
entropy,length,mass,resistance,thermal_cond,voltage
m·ℓ·S_e·κ·U·R
em,mechanics,thermo
m·ℓ⁵·S_e⁻³·κ³·U⁻²·R
m = k₀ · ℓ⁻⁵·S_e³·κ⁻³·U²·R⁻¹
null
0
3
5
15
13.5
-4.5
false
{"mass": "1", "length": "5", "entropy": "-3", "thermal_cond": "3", "voltage": "-2", "resistance": "1"}
6
capacitance,entropy,length,mass,thermal_cond,voltage
m·ℓ·S_e·κ·U·C_e
em,mechanics,thermo
m·ℓ⁴·S_e⁻²·κ²·U⁻²·C_e⁻¹
m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·U²·C_e
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "voltage": "-2", "capacitance": "-1"}
6
entropy,inductance,length,mass,thermal_cond,voltage
m·ℓ·S_e·κ·U·L_e
em,mechanics,thermo
m·ℓ⁶·S_e⁻⁴·κ⁴·U⁻²·L_e
m = k₀ · ℓ⁻⁶·S_e⁴·κ⁻⁴·U²·L_e⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "1", "length": "6", "entropy": "-4", "thermal_cond": "4", "voltage": "-2", "inductance": "1"}