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
7
amount,gas_constant,length,mag_flux,mass,resistance,temperature
m·ℓ·Θ·R·Φ·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ·R²·Φ⁻⁴·n·R
m = k₀ · ℓ⁻²·Θ⁻¹·R⁻²·Φ⁴·n⁻¹·R⁻¹
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "2", "temperature": "1", "resistance": "2", "mag_flux": "-4", "amount": "1", "gas_constant": "1"}
7
gas_constant,length,mag_flux,mass,molar_mass,resistance,temperature
m·ℓ·Θ·R·Φ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ²·Θ·R²·Φ⁻⁴·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁻²·R⁻²·Φ⁴·M_m·R⁻¹
null
0
4
4
13
12.5
-4
false
{"mass": "2", "length": "2", "temperature": "1", "resistance": "2", "mag_flux": "-4", "molar_mass": "-1", "gas_constant": "1"}
7
concentration,gas_constant,length,mag_flux,mass,resistance,temperature
m·ℓ·Θ·R·Φ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ·R²·Φ⁻⁴·c_n·R
m = k₀ · ℓ⁻⁵·Θ⁻¹·R⁻²·Φ⁴·c_n⁻¹·R⁻¹
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "temperature": "1", "resistance": "2", "mag_flux": "-4", "concentration": "1", "gas_constant": "1"}
7
cat_activity,gas_constant,length,mag_flux,mass,resistance,temperature
m·ℓ·Θ·R·Φ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·Θ·R³·Φ⁻⁶·R·z
Θ = k₀ · m⁻²·ℓ⁻⁴·R⁻³·Φ⁶·R⁻¹·z⁻¹
null
0
4
6
18
17
-8.5
false
{"mass": "2", "length": "4", "temperature": "1", "resistance": "3", "mag_flux": "-6", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,gas_constant,length,mag_flux,mass,resistance,temperature
m·ℓ·Θ·R·Φ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·R²·Φ⁻⁴·R·N_A⁻¹
m = k₀ · ℓ⁻²·Θ⁻¹·R⁻²·Φ⁴·R⁻¹·N_A
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "2", "temperature": "1", "resistance": "2", "mag_flux": "-4", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,length,mag_flux,mass,resistance,temperature
m·ℓ·Θ·R·Φ·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ·R²·Φ⁻⁴·k_B
m = k₀ · ℓ⁻²·Θ⁻¹·R⁻²·Φ⁴·k_B⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "2", "temperature": "1", "resistance": "2", "mag_flux": "-4", "boltzmann": "1"}
7
concentration,gas_constant,length,mass,permittivity,resistance,temperature
m·ℓ·Θ·R·ε·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·R⁻²·ε⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·Θ·R²·ε²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "temperature": "-1", "resistance": "-2", "permittivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,length,mass,permittivity,resistance,temperature
m·ℓ·Θ·R·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·R⁻³·ε⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·Θ·R³·ε³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "temperature": "-1", "resistance": "-3", "permittivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
concentration,gas_constant,length,mass,permeability,resistance,temperature
m·ℓ·Θ·R·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·R²·μ₀⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·Θ·R⁻²·μ₀²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "temperature": "-1", "resistance": "2", "permeability": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,length,mass,permeability,resistance,temperature
m·ℓ·Θ·R·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·R³·μ₀⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·Θ·R⁻³·μ₀³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "temperature": "-1", "resistance": "3", "permeability": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
amount,elem_charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·R·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·R⁻²·n·R·e⁻⁴
m = k₀ · ℓ⁻²·Θ⁻¹·R²·n⁻¹·R⁻¹·e⁴
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "2", "temperature": "1", "resistance": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"}
7
elem_charge,gas_constant,length,mass,molar_mass,resistance,temperature
m·ℓ·Θ·R·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·ℓ²·Θ·R⁻²·M_m⁻¹·R·e⁻⁴
Θ = k₀ · m⁻²·ℓ⁻²·R²·M_m·R⁻¹·e⁴
null
1
5
4
13
13.1
-5.1
false
{"mass": "2", "length": "2", "temperature": "1", "resistance": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"}
7
concentration,elem_charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·R·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁵·Θ·R⁻²·c_n·R·e⁻⁴
m = k₀ · ℓ⁻⁵·Θ⁻¹·R²·c_n⁻¹·R⁻¹·e⁴
null
1
5
5
15
15
-7
false
{"mass": "1", "length": "5", "temperature": "1", "resistance": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-4"}
7
cat_activity,elem_charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·R·R·z·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁴·Θ·R⁻³·R·z·e⁻⁶
Θ = k₀ · m⁻²·ℓ⁻⁴·R³·R⁻¹·z⁻¹·e⁶
null
1
5
6
18
17.6
-9.6
false
{"mass": "2", "length": "4", "temperature": "1", "resistance": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-6"}
7
avogadro,elem_charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·R·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·R⁻²·R·e⁻⁴·N_A⁻¹
m = k₀ · ℓ⁻²·Θ⁻¹·R²·R⁻¹·e⁴·N_A
null
2
5
4
12
13.4
-6.9
false
{"mass": "1", "length": "2", "temperature": "1", "resistance": "-2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"}
6
boltzmann,elem_charge,length,mass,resistance,temperature
m·ℓ·Θ·R·k_B·e
constants,em,mechanics,thermo
m·ℓ²·Θ·R⁻²·k_B·e⁻⁴
m = k₀ · ℓ⁻²·Θ⁻¹·R²·k_B⁻¹·e⁴
null
2
4
4
11
11.8
-4.8
false
{"mass": "1", "length": "2", "temperature": "1", "resistance": "-2", "boltzmann": "1", "elem_charge": "-4"}
7
amount,capacitance,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·C_e·L_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·C_e⁻¹·L_e⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·Θ·C_e·L_e·n·R
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "2", "temperature": "-1", "capacitance": "-1", "inductance": "-1", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·C_e·L_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·C_e⁻¹·L_e⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ·Θ·C_e·L_e·c_n·R
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "-1", "temperature": "-1", "capacitance": "-1", "inductance": "-1", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·C_e·L_e·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·Θ⁻²·C_e⁻³·L_e⁻³·R⁻²·z⁻²
m = k₀ · ℓ⁻²·Θ·C_e³ᐟ²·L_e³ᐟ²·R·z
null
0
4
4
18
16
-7.5
false
{"mass": "2", "length": "4", "temperature": "-2", "capacitance": "-3", "inductance": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
avogadro,capacitance,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·C_e·L_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·C_e⁻¹·L_e⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁻²·Θ·C_e·L_e·R·N_A⁻¹
null
1
5
2
8
8.6
-0.6
false
{"mass": "1", "length": "2", "temperature": "-1", "capacitance": "-1", "inductance": "-1", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,inductance,length,mass,temperature
m·ℓ·Θ·C_e·L_e·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·C_e⁻¹·L_e⁻¹·k_B⁻¹
m = k₀ · ℓ⁻²·Θ·C_e·L_e·k_B
null
1
4
2
7
7
1.5
false
{"mass": "1", "length": "2", "temperature": "-1", "capacitance": "-1", "inductance": "-1", "boltzmann": "-1"}
7
capacitance,efield,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·C_e·E_f·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ·C_e⁻¹·E_f⁻²·M_m⁻¹·R
m = k₀ · ℓ²·Θ⁻¹·C_e·E_f²·M_m·R⁻¹
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-2", "temperature": "1", "capacitance": "-1", "efield": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
capacitance,cat_activity,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·C_e·E_f·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·Θ²·C_e⁻³·E_f⁻⁶·R²·z²
m = k₀ · ℓ⁴·Θ⁻²·C_e³·E_f⁶·R⁻²·z⁻²
null
0
4
6
20
18.4
-9.9
false
{"mass": "1", "length": "-4", "temperature": "2", "capacitance": "-3", "efield": "-6", "gas_constant": "2", "cat_activity": "2"}
7
amount,capacitance,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·C_e·μ₀·n·R
chemistry,em,mechanics,thermo
m·ℓ·Θ⁻¹·C_e⁻¹·μ₀⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·Θ·C_e·μ₀·n·R
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "1", "temperature": "-1", "capacitance": "-1", "permeability": "-1", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·C_e·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·C_e⁻¹·μ₀⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ²·Θ·C_e·μ₀·c_n·R
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-2", "temperature": "-1", "capacitance": "-1", "permeability": "-1", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·C_e·μ₀·R·z
chemistry,em,mechanics,thermo
m²·ℓ·Θ⁻²·C_e⁻³·μ₀⁻³·R⁻²·z⁻²
ℓ = k₀ · m⁻²·Θ²·C_e³·μ₀³·R²·z²
null
0
4
3
15
13.4
-4.9
false
{"mass": "2", "length": "1", "temperature": "-2", "capacitance": "-3", "permeability": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
avogadro,capacitance,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·C_e·μ₀·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ·Θ⁻¹·C_e⁻¹·μ₀⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁻¹·Θ·C_e·μ₀·R·N_A⁻¹
null
1
5
1
7
7.4
0.6
false
{"mass": "1", "length": "1", "temperature": "-1", "capacitance": "-1", "permeability": "-1", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,length,mass,permeability,temperature
m·ℓ·Θ·C_e·μ₀·k_B
constants,em,mechanics,thermo
m·ℓ·Θ⁻¹·C_e⁻¹·μ₀⁻¹·k_B⁻¹
m = k₀ · ℓ⁻¹·Θ·C_e·μ₀·k_B
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "length": "1", "temperature": "-1", "capacitance": "-1", "permeability": "-1", "boltzmann": "-1"}
7
amount,capacitance,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·C_e·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·C_e⁻²·σ²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻⁴·Θ·C_e²·σ⁻²·n·R
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "4", "temperature": "-1", "capacitance": "-2", "conductivity": "2", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·C_e·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·Θ⁻¹·C_e⁻²·σ²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·Θ·C_e²·σ⁻²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "temperature": "-1", "capacitance": "-2", "conductivity": "2", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·C_e·σ·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ⁻¹·C_e⁻³·σ³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻⁵·Θ·C_e³·σ⁻³·R·z
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "temperature": "-1", "capacitance": "-3", "conductivity": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,capacitance,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·C_e·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·C_e⁻²·σ²·R⁻¹·N_A
m = k₀ · ℓ⁻⁴·Θ·C_e²·σ⁻²·R·N_A⁻¹
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "4", "temperature": "-1", "capacitance": "-2", "conductivity": "2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,conductivity,length,mass,temperature
m·ℓ·Θ·C_e·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·C_e⁻²·σ²·k_B⁻¹
m = k₀ · ℓ⁻⁴·Θ·C_e²·σ⁻²·k_B
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "4", "temperature": "-1", "capacitance": "-2", "conductivity": "2", "boltzmann": "-1"}
7
amount,capacitance,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·C_e·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·C_e⁻²·ρ_e⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻⁴·Θ·C_e²·ρ_e²·n·R
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "4", "temperature": "-1", "capacitance": "-2", "resistivity": "-2", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·C_e·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·Θ⁻¹·C_e⁻²·ρ_e⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·Θ·C_e²·ρ_e²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "temperature": "-1", "capacitance": "-2", "resistivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·C_e·ρ_e·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ⁻¹·C_e⁻³·ρ_e⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻⁵·Θ·C_e³·ρ_e³·R·z
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "temperature": "-1", "capacitance": "-3", "resistivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,capacitance,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·C_e·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·C_e⁻²·ρ_e⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻⁴·Θ·C_e²·ρ_e²·R·N_A⁻¹
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "4", "temperature": "-1", "capacitance": "-2", "resistivity": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,length,mass,resistivity,temperature
m·ℓ·Θ·C_e·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·C_e⁻²·ρ_e⁻²·k_B⁻¹
m = k₀ · ℓ⁻⁴·Θ·C_e²·ρ_e²·k_B
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "4", "temperature": "-1", "capacitance": "-2", "resistivity": "-2", "boltzmann": "-1"}
7
capacitance,cat_activity,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·C_e·R·z·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ²·C_e³·R²·z²·e⁻⁶
m = k₀ · ℓ⁻²·Θ⁻²·C_e⁻³·R⁻²·z⁻²·e⁶
null
1
5
6
18
17.6
-9.6
false
{"mass": "1", "length": "2", "temperature": "2", "capacitance": "3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-6"}
7
amount,efield,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·E_f·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·Θ⁻²·L_e⁻¹·E_f²·n⁻²·R⁻²
m = k₀ · ℓ⁻⁴·Θ²·L_e·E_f⁻²·n²·R²
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "4", "temperature": "-2", "inductance": "-1", "efield": "2", "amount": "-2", "gas_constant": "-2"}
7
efield,gas_constant,inductance,length,mass,molar_mass,temperature
m·ℓ·Θ·L_e·E_f·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·Θ²·L_e·E_f⁻²·M_m⁻²·R²
m = k₀ · ℓ⁴·Θ⁻²·L_e⁻¹·E_f²·M_m²·R⁻²
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "temperature": "2", "inductance": "1", "efield": "-2", "molar_mass": "-2", "gas_constant": "2"}
7
concentration,efield,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·E_f·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ⁻²·L_e⁻¹·E_f²·c_n⁻²·R⁻²
m = k₀ · ℓ²·Θ²·L_e·E_f⁻²·c_n²·R²
null
0
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "-2", "temperature": "-2", "inductance": "-1", "efield": "2", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,efield,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·E_f·R·z
chemistry,em,mechanics,thermo
m·ℓ⁸·Θ⁻⁴·L_e⁻³·E_f⁶·R⁻⁴·z⁻⁴
m = k₀ · ℓ⁻⁸·Θ⁴·L_e³·E_f⁻⁶·R⁴·z⁴
null
0
4
8
30
26.4
-17.9
false
{"mass": "1", "length": "8", "temperature": "-4", "inductance": "-3", "efield": "6", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,efield,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·E_f·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻²·L_e⁻¹·E_f²·R⁻²·N_A²
m = k₀ · ℓ⁻⁴·Θ²·L_e·E_f⁻²·R²·N_A⁻²
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "temperature": "-2", "inductance": "-1", "efield": "2", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,efield,inductance,length,mass,temperature
m·ℓ·Θ·L_e·E_f·k_B
constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻²·L_e⁻¹·E_f²·k_B⁻²
m = k₀ · ℓ⁻⁴·Θ²·L_e·E_f⁻²·k_B²
null
1
4
4
12
11.5
-3
false
{"mass": "1", "length": "4", "temperature": "-2", "inductance": "-1", "efield": "2", "boltzmann": "-2"}
7
bfield,gas_constant,inductance,length,mass,molar_mass,temperature
m·ℓ·Θ·L_e·B·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·Θ·L_e·B⁻²·M_m⁻¹·R
m = k₀ · ℓ⁴·Θ⁻¹·L_e⁻¹·B²·M_m·R⁻¹
null
0
4
4
11
11.1
-2.6
false
{"mass": "1", "length": "-4", "temperature": "1", "inductance": "1", "bfield": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,cat_activity,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·B·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹⁰·Θ²·L_e³·B⁻⁶·R²·z²
m = k₀ · ℓ¹⁰·Θ⁻²·L_e⁻³·B⁶·R⁻²·z⁻²
null
0
4
10
26
24.6
-16.1
false
{"mass": "1", "length": "-10", "temperature": "2", "inductance": "3", "bfield": "-6", "gas_constant": "2", "cat_activity": "2"}
7
cat_activity,gas_constant,inductance,length,mag_flux,mass,temperature
m·ℓ·Θ·L_e·Φ·R·z
chemistry,em,mechanics,thermo
m·ℓ²·Θ²·L_e³·Φ⁻⁶·R²·z²
m = k₀ · ℓ⁻²·Θ⁻²·L_e⁻³·Φ⁶·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "1", "length": "2", "temperature": "2", "inductance": "3", "mag_flux": "-6", "gas_constant": "2", "cat_activity": "2"}
7
amount,gas_constant,inductance,length,mass,permittivity,temperature
m·ℓ·Θ·L_e·ε·n·R
chemistry,em,mechanics,thermo
m·ℓ·Θ⁻¹·L_e⁻¹·ε⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·Θ·L_e·ε·n·R
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "1", "temperature": "-1", "inductance": "-1", "permittivity": "-1", "amount": "-1", "gas_constant": "-1"}
7
concentration,gas_constant,inductance,length,mass,permittivity,temperature
m·ℓ·Θ·L_e·ε·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·L_e⁻¹·ε⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ²·Θ·L_e·ε·c_n·R
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-2", "temperature": "-1", "inductance": "-1", "permittivity": "-1", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,inductance,length,mass,permittivity,temperature
m·ℓ·Θ·L_e·ε·R·z
chemistry,em,mechanics,thermo
m²·ℓ·Θ⁻²·L_e⁻³·ε⁻³·R⁻²·z⁻²
ℓ = k₀ · m⁻²·Θ²·L_e³·ε³·R²·z²
null
0
4
3
15
13.4
-4.9
false
{"mass": "2", "length": "1", "temperature": "-2", "inductance": "-3", "permittivity": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
avogadro,gas_constant,inductance,length,mass,permittivity,temperature
m·ℓ·Θ·L_e·ε·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ·Θ⁻¹·L_e⁻¹·ε⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁻¹·Θ·L_e·ε·R·N_A⁻¹
null
1
5
1
7
7.4
0.6
false
{"mass": "1", "length": "1", "temperature": "-1", "inductance": "-1", "permittivity": "-1", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,inductance,length,mass,permittivity,temperature
m·ℓ·Θ·L_e·ε·k_B
constants,em,mechanics,thermo
m·ℓ·Θ⁻¹·L_e⁻¹·ε⁻¹·k_B⁻¹
m = k₀ · ℓ⁻¹·Θ·L_e·ε·k_B
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "length": "1", "temperature": "-1", "inductance": "-1", "permittivity": "-1", "boltzmann": "-1"}
7
concentration,conductivity,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·L_e⁻²·σ⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·Θ·L_e²·σ²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "temperature": "-1", "inductance": "-2", "conductivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,conductivity,gas_constant,inductance,length,mass,temperature
m·ℓ·Θ·L_e·σ·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·L_e⁻³·σ⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·Θ·L_e³·σ³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "temperature": "-1", "inductance": "-3", "conductivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
concentration,gas_constant,inductance,length,mass,resistivity,temperature
m·ℓ·Θ·L_e·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·L_e⁻²·ρ_e²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·Θ·L_e²·ρ_e⁻²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "temperature": "-1", "inductance": "-2", "resistivity": "2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,gas_constant,inductance,length,mass,resistivity,temperature
m·ℓ·Θ·L_e·ρ_e·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·L_e⁻³·ρ_e³·R⁻¹·z⁻¹
m = k₀ · ℓ·Θ·L_e³·ρ_e⁻³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "temperature": "-1", "inductance": "-3", "resistivity": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
bfield,concentration,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·E_f·B·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻¹·E_f²·B⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·Θ·E_f⁻²·B²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "temperature": "-1", "efield": "2", "bfield": "-2", "concentration": "-1", "gas_constant": "-1"}
7
bfield,cat_activity,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·E_f·B·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·E_f³·B⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·Θ·E_f⁻³·B³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "temperature": "-1", "efield": "3", "bfield": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
amount,efield,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·E_f·Φ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·E_f²·Φ⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻⁴·Θ·E_f⁻²·Φ²·n·R
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "4", "temperature": "-1", "efield": "2", "mag_flux": "-2", "amount": "-1", "gas_constant": "-1"}
7
concentration,efield,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·E_f·Φ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·Θ⁻¹·E_f²·Φ⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·Θ·E_f⁻²·Φ²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "temperature": "-1", "efield": "2", "mag_flux": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,efield,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·E_f·Φ·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ⁻¹·E_f³·Φ⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻⁵·Θ·E_f⁻³·Φ³·R·z
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "temperature": "-1", "efield": "3", "mag_flux": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,efield,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·E_f·Φ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·E_f²·Φ⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻⁴·Θ·E_f⁻²·Φ²·R·N_A⁻¹
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "4", "temperature": "-1", "efield": "2", "mag_flux": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,efield,length,mag_flux,mass,temperature
m·ℓ·Θ·E_f·Φ·k_B
constants,em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·E_f²·Φ⁻²·k_B⁻¹
m = k₀ · ℓ⁻⁴·Θ·E_f⁻²·Φ²·k_B
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "4", "temperature": "-1", "efield": "2", "mag_flux": "-2", "boltzmann": "-1"}
7
efield,gas_constant,length,mass,molar_mass,permittivity,temperature
m·ℓ·Θ·E_f·ε·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ·E_f⁻²·ε⁻¹·M_m⁻¹·R
m = k₀ · ℓ³·Θ⁻¹·E_f²·ε·M_m·R⁻¹
null
0
4
3
10
9.9
-1.4
false
{"mass": "1", "length": "-3", "temperature": "1", "efield": "-2", "permittivity": "-1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,efield,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·E_f·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁷·Θ²·E_f⁻⁶·ε⁻³·R²·z²
m = k₀ · ℓ⁷·Θ⁻²·E_f⁶·ε³·R⁻²·z⁻²
null
0
4
7
23
21
-12.5
false
{"mass": "1", "length": "-7", "temperature": "2", "efield": "-6", "permittivity": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,efield,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·E_f·μ₀·n·R
chemistry,em,mechanics,thermo
m·ℓ³·Θ⁻²·E_f²·μ₀⁻¹·n⁻²·R⁻²
m = k₀ · ℓ⁻³·Θ²·E_f⁻²·μ₀·n²·R²
null
0
4
3
13
12
-3.5
false
{"mass": "1", "length": "3", "temperature": "-2", "efield": "2", "permeability": "-1", "amount": "-2", "gas_constant": "-2"}
7
efield,gas_constant,length,mass,molar_mass,permeability,temperature
m·ℓ·Θ·E_f·μ₀·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ²·E_f⁻²·μ₀·M_m⁻²·R²
m = k₀ · ℓ³·Θ⁻²·E_f²·μ₀⁻¹·M_m²·R⁻²
null
0
4
3
13
12
-3.5
false
{"mass": "1", "length": "-3", "temperature": "2", "efield": "-2", "permeability": "1", "molar_mass": "-2", "gas_constant": "2"}
7
concentration,efield,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·E_f·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ⁻²·E_f²·μ₀⁻¹·c_n⁻²·R⁻²
m = k₀ · ℓ³·Θ²·E_f⁻²·μ₀·c_n²·R²
null
0
4
3
13
12
-3.5
false
{"mass": "1", "length": "-3", "temperature": "-2", "efield": "2", "permeability": "-1", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,efield,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·E_f·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ⁻⁴·E_f⁶·μ₀⁻³·R⁻⁴·z⁻⁴
m = k₀ · ℓ⁻⁵·Θ⁴·E_f⁻⁶·μ₀³·R⁴·z⁴
null
0
4
6
27
23.3
-14.8
false
{"mass": "1", "length": "5", "temperature": "-4", "efield": "6", "permeability": "-3", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,efield,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·E_f·μ₀·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ³·Θ⁻²·E_f²·μ₀⁻¹·R⁻²·N_A²
m = k₀ · ℓ⁻³·Θ²·E_f⁻²·μ₀·R²·N_A⁻²
null
1
5
3
13
12.6
-4.6
false
{"mass": "1", "length": "3", "temperature": "-2", "efield": "2", "permeability": "-1", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,efield,length,mass,permeability,temperature
m·ℓ·Θ·E_f·μ₀·k_B
constants,em,mechanics,thermo
m·ℓ³·Θ⁻²·E_f²·μ₀⁻¹·k_B⁻²
m = k₀ · ℓ⁻³·Θ²·E_f⁻²·μ₀·k_B²
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "length": "3", "temperature": "-2", "efield": "2", "permeability": "-1", "boltzmann": "-2"}
7
amount,conductivity,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·E_f·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁸·Θ⁻³·E_f⁴·σ²·n⁻³·R⁻³
m = k₀ · ℓ⁻⁸·Θ³·E_f⁻⁴·σ⁻²·n³·R³
null
0
4
8
24
22.2
-13.7
false
{"mass": "1", "length": "8", "temperature": "-3", "efield": "4", "conductivity": "2", "amount": "-3", "gas_constant": "-3"}
7
conductivity,efield,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·E_f·σ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁸·Θ³·E_f⁻⁴·σ⁻²·M_m⁻³·R³
m = k₀ · ℓ⁴·Θ⁻³ᐟ²·E_f²·σ·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
8
25
22.9
-14.4
false
{"mass": "2", "length": "-8", "temperature": "3", "efield": "-4", "conductivity": "-2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,conductivity,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·E_f·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻³·E_f⁴·σ²·c_n⁻³·R⁻³
m = k₀ · ℓ·Θ³·E_f⁻⁴·σ⁻²·c_n³·R³
null
0
4
4
17
15.3
-6.8
false
{"mass": "1", "length": "-1", "temperature": "-3", "efield": "4", "conductivity": "2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,conductivity,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·E_f·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁸·Θ⁻³·E_f⁴·σ²·R⁻³·N_A³
m = k₀ · ℓ⁻⁸·Θ³·E_f⁻⁴·σ⁻²·R³·N_A⁻³
null
1
5
8
24
22.8
-14.8
false
{"mass": "1", "length": "8", "temperature": "-3", "efield": "4", "conductivity": "2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,conductivity,efield,length,mass,temperature
m·ℓ·Θ·E_f·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁸·Θ⁻³·E_f⁴·σ²·k_B⁻³
m = k₀ · ℓ⁻⁸·Θ³·E_f⁻⁴·σ⁻²·k_B³
null
1
4
8
21
19.8
-11.3
false
{"mass": "1", "length": "8", "temperature": "-3", "efield": "4", "conductivity": "2", "boltzmann": "-3"}
7
amount,efield,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·E_f·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁸·Θ⁻³·E_f⁴·ρ_e⁻²·n⁻³·R⁻³
m = k₀ · ℓ⁻⁸·Θ³·E_f⁻⁴·ρ_e²·n³·R³
null
0
4
8
24
22.2
-13.7
false
{"mass": "1", "length": "8", "temperature": "-3", "efield": "4", "resistivity": "-2", "amount": "-3", "gas_constant": "-3"}
7
efield,gas_constant,length,mass,molar_mass,resistivity,temperature
m·ℓ·Θ·E_f·ρ_e·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁸·Θ³·E_f⁻⁴·ρ_e²·M_m⁻³·R³
m = k₀ · ℓ⁴·Θ⁻³ᐟ²·E_f²·ρ_e⁻¹·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
8
25
22.9
-14.4
false
{"mass": "2", "length": "-8", "temperature": "3", "efield": "-4", "resistivity": "2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,efield,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·E_f·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻³·E_f⁴·ρ_e⁻²·c_n⁻³·R⁻³
m = k₀ · ℓ·Θ³·E_f⁻⁴·ρ_e²·c_n³·R³
null
0
4
4
17
15.3
-6.8
false
{"mass": "1", "length": "-1", "temperature": "-3", "efield": "4", "resistivity": "-2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,efield,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·E_f·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁸·Θ⁻³·E_f⁴·ρ_e⁻²·R⁻³·N_A³
m = k₀ · ℓ⁻⁸·Θ³·E_f⁻⁴·ρ_e²·R³·N_A⁻³
null
1
5
8
24
22.8
-14.8
false
{"mass": "1", "length": "8", "temperature": "-3", "efield": "4", "resistivity": "-2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,efield,length,mass,resistivity,temperature
m·ℓ·Θ·E_f·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁸·Θ⁻³·E_f⁴·ρ_e⁻²·k_B⁻³
m = k₀ · ℓ⁻⁸·Θ³·E_f⁻⁴·ρ_e²·k_B³
null
1
4
8
21
19.8
-11.3
false
{"mass": "1", "length": "8", "temperature": "-3", "efield": "4", "resistivity": "-2", "boltzmann": "-3"}
7
efield,elem_charge,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·E_f·M_m·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁻¹·Θ·E_f⁻¹·M_m⁻¹·R·e⁻¹
m = k₀ · ℓ·Θ⁻¹·E_f·M_m·R⁻¹·e
null
1
5
1
7
7.4
0.6
false
{"mass": "1", "length": "-1", "temperature": "1", "efield": "-1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-1"}
7
cat_activity,efield,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·E_f·R·z·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁻¹·Θ²·E_f⁻³·R²·z²·e⁻³
m = k₀ · ℓ·Θ⁻²·E_f³·R⁻²·z⁻²·e³
null
1
5
3
14
13.3
-5.3
false
{"mass": "1", "length": "-1", "temperature": "2", "efield": "-3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-3"}
7
bfield,gas_constant,length,mass,molar_mass,permeability,temperature
m·ℓ·Θ·B·μ₀·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·Θ·B⁻²·μ₀·M_m⁻¹·R
m = k₀ · ℓ³·Θ⁻¹·B²·μ₀⁻¹·M_m·R⁻¹
null
0
4
3
10
9.9
-1.4
false
{"mass": "1", "length": "-3", "temperature": "1", "bfield": "-2", "permeability": "1", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,cat_activity,gas_constant,length,mass,permeability,temperature
m·ℓ·Θ·B·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁷·Θ²·B⁻⁶·μ₀³·R²·z²
m = k₀ · ℓ⁷·Θ⁻²·B⁶·μ₀⁻³·R⁻²·z⁻²
null
0
4
7
23
21
-12.5
false
{"mass": "1", "length": "-7", "temperature": "2", "bfield": "-6", "permeability": "3", "gas_constant": "2", "cat_activity": "2"}
7
amount,bfield,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·B·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁸·Θ·B⁻⁴·σ⁻²·n·R
m = k₀ · ℓ⁸·Θ⁻¹·B⁴·σ²·n⁻¹·R⁻¹
null
0
4
8
18
18
-9.5
false
{"mass": "1", "length": "-8", "temperature": "1", "bfield": "-4", "conductivity": "-2", "amount": "1", "gas_constant": "1"}
7
bfield,conductivity,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·B·σ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁸·Θ·B⁻⁴·σ⁻²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁸·B⁴·σ²·M_m·R⁻¹
null
0
4
8
19
18.7
-10.2
false
{"mass": "2", "length": "-8", "temperature": "1", "bfield": "-4", "conductivity": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,concentration,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·B·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·Θ·B⁻⁴·σ⁻²·c_n·R
m = k₀ · ℓ⁵·Θ⁻¹·B⁴·σ²·c_n⁻¹·R⁻¹
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "-5", "temperature": "1", "bfield": "-4", "conductivity": "-2", "concentration": "1", "gas_constant": "1"}
7
bfield,cat_activity,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·B·σ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁻¹¹·Θ·B⁻⁶·σ⁻³·R·z
Θ = k₀ · m⁻²·ℓ¹¹·B⁶·σ³·R⁻¹·z⁻¹
null
0
4
11
25
24.4
-15.9
false
{"mass": "2", "length": "-11", "temperature": "1", "bfield": "-6", "conductivity": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,bfield,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·B·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻⁸·Θ·B⁻⁴·σ⁻²·R·N_A⁻¹
m = k₀ · ℓ⁸·Θ⁻¹·B⁴·σ²·R⁻¹·N_A
null
1
5
8
18
18.6
-10.6
false
{"mass": "1", "length": "-8", "temperature": "1", "bfield": "-4", "conductivity": "-2", "gas_constant": "1", "avogadro": "-1"}
6
bfield,boltzmann,conductivity,length,mass,temperature
m·ℓ·Θ·B·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁻⁸·Θ·B⁻⁴·σ⁻²·k_B
m = k₀ · ℓ⁸·Θ⁻¹·B⁴·σ²·k_B⁻¹
null
1
4
8
17
17
-8.5
false
{"mass": "1", "length": "-8", "temperature": "1", "bfield": "-4", "conductivity": "-2", "boltzmann": "1"}
7
amount,bfield,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·B·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁸·Θ·B⁻⁴·ρ_e²·n·R
m = k₀ · ℓ⁸·Θ⁻¹·B⁴·ρ_e⁻²·n⁻¹·R⁻¹
null
0
4
8
18
18
-9.5
false
{"mass": "1", "length": "-8", "temperature": "1", "bfield": "-4", "resistivity": "2", "amount": "1", "gas_constant": "1"}
7
bfield,gas_constant,length,mass,molar_mass,resistivity,temperature
m·ℓ·Θ·B·ρ_e·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁸·Θ·B⁻⁴·ρ_e²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁸·B⁴·ρ_e⁻²·M_m·R⁻¹
null
0
4
8
19
18.7
-10.2
false
{"mass": "2", "length": "-8", "temperature": "1", "bfield": "-4", "resistivity": "2", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,concentration,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·B·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·Θ·B⁻⁴·ρ_e²·c_n·R
m = k₀ · ℓ⁵·Θ⁻¹·B⁴·ρ_e⁻²·c_n⁻¹·R⁻¹
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "-5", "temperature": "1", "bfield": "-4", "resistivity": "2", "concentration": "1", "gas_constant": "1"}
7
bfield,cat_activity,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·B·ρ_e·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁻¹¹·Θ·B⁻⁶·ρ_e³·R·z
Θ = k₀ · m⁻²·ℓ¹¹·B⁶·ρ_e⁻³·R⁻¹·z⁻¹
null
0
4
11
25
24.4
-15.9
false
{"mass": "2", "length": "-11", "temperature": "1", "bfield": "-6", "resistivity": "3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,bfield,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·B·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻⁸·Θ·B⁻⁴·ρ_e²·R·N_A⁻¹
m = k₀ · ℓ⁸·Θ⁻¹·B⁴·ρ_e⁻²·R⁻¹·N_A
null
1
5
8
18
18.6
-10.6
false
{"mass": "1", "length": "-8", "temperature": "1", "bfield": "-4", "resistivity": "2", "gas_constant": "1", "avogadro": "-1"}
6
bfield,boltzmann,length,mass,resistivity,temperature
m·ℓ·Θ·B·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁻⁸·Θ·B⁻⁴·ρ_e²·k_B
m = k₀ · ℓ⁸·Θ⁻¹·B⁴·ρ_e⁻²·k_B⁻¹
null
1
4
8
17
17
-8.5
false
{"mass": "1", "length": "-8", "temperature": "1", "bfield": "-4", "resistivity": "2", "boltzmann": "1"}
7
amount,bfield,elem_charge,gas_constant,length,mass,temperature
m·ℓ·Θ·B·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·Θ·B⁻²·n·R·e⁻²
m = k₀ · ℓ²·Θ⁻¹·B²·n⁻¹·R⁻¹·e²
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "-2", "temperature": "1", "bfield": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-2"}
7
bfield,elem_charge,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·B·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁻²·Θ·B⁻²·M_m⁻¹·R·e⁻²
Θ = k₀ · m⁻²·ℓ²·B²·M_m·R⁻¹·e²
null
1
5
2
11
10.7
-2.7
false
{"mass": "2", "length": "-2", "temperature": "1", "bfield": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"}