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
cat_activity,expansion,gas_constant,length,mag_flux,mass,voltage
m·ℓ·β·U·Φ·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β·U³·Φ⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·β⁻¹·U⁻³·Φ³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "expansion": "1", "voltage": "3", "mag_flux": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,expansion,gas_constant,length,mag_flux,mass,voltage
m·ℓ·β·U·Φ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·U²·Φ⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻²·β⁻¹·U⁻²·Φ²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "expansion": "1", "voltage": "2", "mag_flux": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,expansion,length,mag_flux,mass,voltage
m·ℓ·β·U·Φ·k_B
constants,em,mechanics,thermo
m·ℓ²·β·U²·Φ⁻²·k_B⁻¹
m = k₀ · ℓ⁻²·β⁻¹·U⁻²·Φ²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "expansion": "1", "voltage": "2", "mag_flux": "-2", "boltzmann": "-1"}
7
expansion,gas_constant,length,mass,molar_mass,permittivity,voltage
m·ℓ·β·U·ε·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻¹·U⁻²·ε⁻¹·M_m⁻¹·R
m = k₀ · ℓ·β·U²·ε·M_m·R⁻¹
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-1", "expansion": "-1", "voltage": "-2", "permittivity": "-1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,expansion,gas_constant,length,mass,permittivity,voltage
m·ℓ·β·U·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻²·U⁻⁶·ε⁻³·R²·z²
m = k₀ · ℓ·β²·U⁶·ε³·R⁻²·z⁻²
null
0
4
6
17
16.3
-7.8
false
{"mass": "1", "length": "-1", "expansion": "-2", "voltage": "-6", "permittivity": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,expansion,gas_constant,length,mass,permeability,voltage
m·ℓ·β·U·μ₀·n·R
chemistry,em,mechanics,thermo
m·ℓ·β²·U²·μ₀⁻¹·n⁻²·R⁻²
m = k₀ · ℓ⁻¹·β⁻²·U⁻²·μ₀·n²·R²
null
0
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "1", "expansion": "2", "voltage": "2", "permeability": "-1", "amount": "-2", "gas_constant": "-2"}
7
expansion,gas_constant,length,mass,molar_mass,permeability,voltage
m·ℓ·β·U·μ₀·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻²·U⁻²·μ₀·M_m⁻²·R²
m = k₀ · ℓ·β²·U²·μ₀⁻¹·M_m²·R⁻²
null
0
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "-1", "expansion": "-2", "voltage": "-2", "permeability": "1", "molar_mass": "-2", "gas_constant": "2"}
7
concentration,expansion,gas_constant,length,mass,permeability,voltage
m·ℓ·β·U·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·β²·U²·μ₀⁻¹·c_n⁻²·R⁻²
m = k₀ · ℓ⁵·β⁻²·U⁻²·μ₀·c_n²·R²
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "-5", "expansion": "2", "voltage": "2", "permeability": "-1", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,expansion,gas_constant,length,mass,permeability,voltage
m·ℓ·β·U·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁴·U⁶·μ₀⁻³·R⁻⁴·z⁻⁴
m = k₀ · ℓ·β⁻⁴·U⁻⁶·μ₀³·R⁴·z⁴
null
0
4
6
23
20.5
-12
false
{"mass": "1", "length": "-1", "expansion": "4", "voltage": "6", "permeability": "-3", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,expansion,gas_constant,length,mass,permeability,voltage
m·ℓ·β·U·μ₀·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ·β²·U²·μ₀⁻¹·R⁻²·N_A²
m = k₀ · ℓ⁻¹·β⁻²·U⁻²·μ₀·R²·N_A⁻²
null
1
5
2
11
10.7
-2.7
false
{"mass": "1", "length": "1", "expansion": "2", "voltage": "2", "permeability": "-1", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,expansion,length,mass,permeability,voltage
m·ℓ·β·U·μ₀·k_B
constants,em,mechanics,thermo
m·ℓ·β²·U²·μ₀⁻¹·k_B⁻²
m = k₀ · ℓ⁻¹·β⁻²·U⁻²·μ₀·k_B²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "1", "expansion": "2", "voltage": "2", "permeability": "-1", "boltzmann": "-2"}
7
amount,conductivity,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β³·U⁴·σ²·n⁻³·R⁻³
m = k₀ · ℓ⁻⁴·β⁻³·U⁻⁴·σ⁻²·n³·R³
null
0
4
4
20
17.4
-8.9
false
{"mass": "1", "length": "4", "expansion": "3", "voltage": "4", "conductivity": "2", "amount": "-3", "gas_constant": "-3"}
7
conductivity,expansion,gas_constant,length,mass,molar_mass,voltage
m·ℓ·β·U·σ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁴·β⁻³·U⁻⁴·σ⁻²·M_m⁻³·R³
m = k₀ · ℓ²·β³ᐟ²·U²·σ·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
4
21
18.1
-9.6
false
{"mass": "2", "length": "-4", "expansion": "-3", "voltage": "-4", "conductivity": "-2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,conductivity,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·β³·U⁴·σ²·c_n⁻³·R⁻³
m = k₀ · ℓ⁵·β⁻³·U⁻⁴·σ⁻²·c_n³·R³
null
0
4
5
21
18.6
-10.1
false
{"mass": "1", "length": "-5", "expansion": "3", "voltage": "4", "conductivity": "2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,conductivity,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β³·U⁴·σ²·R⁻³·N_A³
m = k₀ · ℓ⁻⁴·β⁻³·U⁻⁴·σ⁻²·R³·N_A⁻³
null
1
5
4
20
18
-10
false
{"mass": "1", "length": "4", "expansion": "3", "voltage": "4", "conductivity": "2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,conductivity,expansion,length,mass,voltage
m·ℓ·β·U·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β³·U⁴·σ²·k_B⁻³
m = k₀ · ℓ⁻⁴·β⁻³·U⁻⁴·σ⁻²·k_B³
null
1
4
4
17
15
-6.5
false
{"mass": "1", "length": "4", "expansion": "3", "voltage": "4", "conductivity": "2", "boltzmann": "-3"}
7
amount,expansion,gas_constant,length,mass,resistivity,voltage
m·ℓ·β·U·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β³·U⁴·ρ_e⁻²·n⁻³·R⁻³
m = k₀ · ℓ⁻⁴·β⁻³·U⁻⁴·ρ_e²·n³·R³
null
0
4
4
20
17.4
-8.9
false
{"mass": "1", "length": "4", "expansion": "3", "voltage": "4", "resistivity": "-2", "amount": "-3", "gas_constant": "-3"}
7
expansion,gas_constant,length,mass,molar_mass,resistivity,voltage
m·ℓ·β·U·ρ_e·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁴·β⁻³·U⁻⁴·ρ_e²·M_m⁻³·R³
m = k₀ · ℓ²·β³ᐟ²·U²·ρ_e⁻¹·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
4
21
18.1
-9.6
false
{"mass": "2", "length": "-4", "expansion": "-3", "voltage": "-4", "resistivity": "2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,expansion,gas_constant,length,mass,resistivity,voltage
m·ℓ·β·U·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·β³·U⁴·ρ_e⁻²·c_n⁻³·R⁻³
m = k₀ · ℓ⁵·β⁻³·U⁻⁴·ρ_e²·c_n³·R³
null
0
4
5
21
18.6
-10.1
false
{"mass": "1", "length": "-5", "expansion": "3", "voltage": "4", "resistivity": "-2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,expansion,gas_constant,length,mass,resistivity,voltage
m·ℓ·β·U·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β³·U⁴·ρ_e⁻²·R⁻³·N_A³
m = k₀ · ℓ⁻⁴·β⁻³·U⁻⁴·ρ_e²·R³·N_A⁻³
null
1
5
4
20
18
-10
false
{"mass": "1", "length": "4", "expansion": "3", "voltage": "4", "resistivity": "-2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,expansion,length,mass,resistivity,voltage
m·ℓ·β·U·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β³·U⁴·ρ_e⁻²·k_B⁻³
m = k₀ · ℓ⁻⁴·β⁻³·U⁻⁴·ρ_e²·k_B³
null
1
4
4
17
15
-6.5
false
{"mass": "1", "length": "4", "expansion": "3", "voltage": "4", "resistivity": "-2", "boltzmann": "-3"}
7
cat_activity,elem_charge,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·R·z·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻²·U⁻³·R²·z²·e⁻³
m = k₀ · ℓ⁻²·β²·U³·R⁻²·z⁻²·e³
null
1
5
3
15
14
-6
false
{"mass": "1", "length": "2", "expansion": "-2", "voltage": "-3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-3"}
7
amount,capacitance,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·C_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β·R⁻²·C_e⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·β⁻¹·R²·C_e²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "-2", "capacitance": "-2", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·C_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·R⁻²·C_e⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·β⁻¹·R²·C_e²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "expansion": "1", "resistance": "-2", "capacitance": "-2", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·C_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β·R⁻³·C_e⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·β⁻¹·R³·C_e³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "-3", "capacitance": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,capacitance,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·C_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·R⁻²·C_e⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻²·β⁻¹·R²·C_e²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "-2", "capacitance": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,expansion,length,mass,resistance
m·ℓ·β·R·C_e·k_B
constants,em,mechanics,thermo
m·ℓ²·β·R⁻²·C_e⁻²·k_B⁻¹
m = k₀ · ℓ⁻²·β⁻¹·R²·C_e²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "-2", "capacitance": "-2", "boltzmann": "-1"}
7
amount,expansion,gas_constant,inductance,length,mass,resistance
m·ℓ·β·R·L_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β·R²·L_e⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·β⁻¹·R⁻²·L_e²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "2", "inductance": "-2", "amount": "-1", "gas_constant": "-1"}
7
concentration,expansion,gas_constant,inductance,length,mass,resistance
m·ℓ·β·R·L_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·R²·L_e⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·β⁻¹·R⁻²·L_e²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "expansion": "1", "resistance": "2", "inductance": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,expansion,gas_constant,inductance,length,mass,resistance
m·ℓ·β·R·L_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β·R³·L_e⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·β⁻¹·R⁻³·L_e³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "3", "inductance": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,expansion,gas_constant,inductance,length,mass,resistance
m·ℓ·β·R·L_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·R²·L_e⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻²·β⁻¹·R⁻²·L_e²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "2", "inductance": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,expansion,inductance,length,mass,resistance
m·ℓ·β·R·L_e·k_B
constants,em,mechanics,thermo
m·ℓ²·β·R²·L_e⁻²·k_B⁻¹
m = k₀ · ℓ⁻²·β⁻¹·R⁻²·L_e²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "expansion": "1", "resistance": "2", "inductance": "-2", "boltzmann": "-1"}
7
amount,efield,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·E_f·n·R
chemistry,em,mechanics,thermo
m·ℓ⁶·β³·R⁻²·E_f⁴·n⁻³·R⁻³
m = k₀ · ℓ⁻⁶·β⁻³·R²·E_f⁻⁴·n³·R³
null
0
4
6
22
19.8
-11.3
false
{"mass": "1", "length": "6", "expansion": "3", "resistance": "-2", "efield": "4", "amount": "-3", "gas_constant": "-3"}
7
efield,expansion,gas_constant,length,mass,molar_mass,resistance
m·ℓ·β·R·E_f·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁶·β⁻³·R²·E_f⁻⁴·M_m⁻³·R³
m = k₀ · ℓ³·β³ᐟ²·R⁻¹·E_f²·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
6
23
20.5
-12
false
{"mass": "2", "length": "-6", "expansion": "-3", "resistance": "2", "efield": "-4", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,efield,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·E_f·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·β³·R⁻²·E_f⁴·c_n⁻³·R⁻³
m = k₀ · ℓ³·β⁻³·R²·E_f⁻⁴·c_n³·R³
null
0
4
4
19
16.7
-8.2
false
{"mass": "1", "length": "-3", "expansion": "3", "resistance": "-2", "efield": "4", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,efield,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·E_f·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁶·β³·R⁻²·E_f⁴·R⁻³·N_A³
m = k₀ · ℓ⁻⁶·β⁻³·R²·E_f⁻⁴·R³·N_A⁻³
null
1
5
6
22
20.4
-12.4
false
{"mass": "1", "length": "6", "expansion": "3", "resistance": "-2", "efield": "4", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,efield,expansion,length,mass,resistance
m·ℓ·β·R·E_f·k_B
constants,em,mechanics,thermo
m·ℓ⁶·β³·R⁻²·E_f⁴·k_B⁻³
m = k₀ · ℓ⁻⁶·β⁻³·R²·E_f⁻⁴·k_B³
null
1
4
6
19
17.4
-8.9
false
{"mass": "1", "length": "6", "expansion": "3", "resistance": "-2", "efield": "4", "boltzmann": "-3"}
7
amount,bfield,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·B·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁶·β⁻¹·R²·B⁻⁴·n·R
m = k₀ · ℓ⁶·β·R⁻²·B⁴·n⁻¹·R⁻¹
null
0
4
6
16
15.6
-7.1
false
{"mass": "1", "length": "-6", "expansion": "-1", "resistance": "2", "bfield": "-4", "amount": "1", "gas_constant": "1"}
7
bfield,expansion,gas_constant,length,mass,molar_mass,resistance
m·ℓ·β·R·B·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁶·β⁻¹·R²·B⁻⁴·M_m⁻¹·R
β = k₀ · m²·ℓ⁻⁶·R²·B⁻⁴·M_m⁻¹·R
null
0
4
6
17
16.3
-7.8
false
{"mass": "2", "length": "-6", "expansion": "-1", "resistance": "2", "bfield": "-4", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,concentration,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·B·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·β⁻¹·R²·B⁻⁴·c_n·R
m = k₀ · ℓ³·β·R⁻²·B⁴·c_n⁻¹·R⁻¹
null
0
4
4
13
12.5
-4
false
{"mass": "1", "length": "-3", "expansion": "-1", "resistance": "2", "bfield": "-4", "concentration": "1", "gas_constant": "1"}
7
bfield,cat_activity,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·B·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁻⁸·β⁻¹·R³·B⁻⁶·R·z
β = k₀ · m²·ℓ⁻⁸·R³·B⁻⁶·R·z
null
0
4
8
22
20.8
-12.3
false
{"mass": "2", "length": "-8", "expansion": "-1", "resistance": "3", "bfield": "-6", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,bfield,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·B·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻⁶·β⁻¹·R²·B⁻⁴·R·N_A⁻¹
m = k₀ · ℓ⁶·β·R⁻²·B⁴·R⁻¹·N_A
null
1
5
6
16
16.2
-8.2
false
{"mass": "1", "length": "-6", "expansion": "-1", "resistance": "2", "bfield": "-4", "gas_constant": "1", "avogadro": "-1"}
6
bfield,boltzmann,expansion,length,mass,resistance
m·ℓ·β·R·B·k_B
constants,em,mechanics,thermo
m·ℓ⁻⁶·β⁻¹·R²·B⁻⁴·k_B
m = k₀ · ℓ⁶·β·R⁻²·B⁴·k_B⁻¹
null
1
4
6
15
14.6
-6.1
false
{"mass": "1", "length": "-6", "expansion": "-1", "resistance": "2", "bfield": "-4", "boltzmann": "1"}
7
amount,expansion,gas_constant,length,mag_flux,mass,resistance
m·ℓ·β·R·Φ·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β⁻¹·R²·Φ⁻⁴·n·R
m = k₀ · ℓ⁻²·β·R⁻²·Φ⁴·n⁻¹·R⁻¹
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "2", "expansion": "-1", "resistance": "2", "mag_flux": "-4", "amount": "1", "gas_constant": "1"}
7
expansion,gas_constant,length,mag_flux,mass,molar_mass,resistance
m·ℓ·β·R·Φ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ²·β⁻¹·R²·Φ⁻⁴·M_m⁻¹·R
β = k₀ · m²·ℓ²·R²·Φ⁻⁴·M_m⁻¹·R
null
0
4
4
13
12.5
-4
false
{"mass": "2", "length": "2", "expansion": "-1", "resistance": "2", "mag_flux": "-4", "molar_mass": "-1", "gas_constant": "1"}
7
concentration,expansion,gas_constant,length,mag_flux,mass,resistance
m·ℓ·β·R·Φ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁵·β⁻¹·R²·Φ⁻⁴·c_n·R
m = k₀ · ℓ⁻⁵·β·R⁻²·Φ⁴·c_n⁻¹·R⁻¹
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "expansion": "-1", "resistance": "2", "mag_flux": "-4", "concentration": "1", "gas_constant": "1"}
7
cat_activity,expansion,gas_constant,length,mag_flux,mass,resistance
m·ℓ·β·R·Φ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·β⁻¹·R³·Φ⁻⁶·R·z
β = k₀ · m²·ℓ⁴·R³·Φ⁻⁶·R·z
null
0
4
6
18
17
-8.5
false
{"mass": "2", "length": "4", "expansion": "-1", "resistance": "3", "mag_flux": "-6", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,expansion,gas_constant,length,mag_flux,mass,resistance
m·ℓ·β·R·Φ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻¹·R²·Φ⁻⁴·R·N_A⁻¹
m = k₀ · ℓ⁻²·β·R⁻²·Φ⁴·R⁻¹·N_A
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "2", "expansion": "-1", "resistance": "2", "mag_flux": "-4", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,expansion,length,mag_flux,mass,resistance
m·ℓ·β·R·Φ·k_B
constants,em,mechanics,thermo
m·ℓ²·β⁻¹·R²·Φ⁻⁴·k_B
m = k₀ · ℓ⁻²·β·R⁻²·Φ⁴·k_B⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "2", "expansion": "-1", "resistance": "2", "mag_flux": "-4", "boltzmann": "1"}
7
concentration,expansion,gas_constant,length,mass,permittivity,resistance
m·ℓ·β·R·ε·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·β·R⁻²·ε⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·β⁻¹·R²·ε²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "expansion": "1", "resistance": "-2", "permittivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,expansion,gas_constant,length,mass,permittivity,resistance
m·ℓ·β·R·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·R⁻³·ε⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·β⁻¹·R³·ε³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "expansion": "1", "resistance": "-3", "permittivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
concentration,expansion,gas_constant,length,mass,permeability,resistance
m·ℓ·β·R·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·β·R²·μ₀⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·β⁻¹·R⁻²·μ₀²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "expansion": "1", "resistance": "2", "permeability": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,expansion,gas_constant,length,mass,permeability,resistance
m·ℓ·β·R·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·R³·μ₀⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·β⁻¹·R⁻³·μ₀³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "expansion": "1", "resistance": "3", "permeability": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
amount,elem_charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻¹·R⁻²·n·R·e⁻⁴
m = k₀ · ℓ⁻²·β·R²·n⁻¹·R⁻¹·e⁴
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "2", "expansion": "-1", "resistance": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"}
7
elem_charge,expansion,gas_constant,length,mass,molar_mass,resistance
m·ℓ·β·R·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·ℓ²·β⁻¹·R⁻²·M_m⁻¹·R·e⁻⁴
β = k₀ · m²·ℓ²·R⁻²·M_m⁻¹·R·e⁻⁴
null
1
5
4
13
13.1
-5.1
false
{"mass": "2", "length": "2", "expansion": "-1", "resistance": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"}
7
concentration,elem_charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁵·β⁻¹·R⁻²·c_n·R·e⁻⁴
m = k₀ · ℓ⁻⁵·β·R²·c_n⁻¹·R⁻¹·e⁴
null
1
5
5
15
15
-7
false
{"mass": "1", "length": "5", "expansion": "-1", "resistance": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-4"}
7
cat_activity,elem_charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·R·z·e
chemistry,constants,em,mechanics,thermo
m²·ℓ⁴·β⁻¹·R⁻³·R·z·e⁻⁶
β = k₀ · m²·ℓ⁴·R⁻³·R·z·e⁻⁶
null
1
5
6
18
17.6
-9.6
false
{"mass": "2", "length": "4", "expansion": "-1", "resistance": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-6"}
7
avogadro,elem_charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·R·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻¹·R⁻²·R·e⁻⁴·N_A⁻¹
m = k₀ · ℓ⁻²·β·R²·R⁻¹·e⁴·N_A
null
2
5
4
12
13.4
-6.9
false
{"mass": "1", "length": "2", "expansion": "-1", "resistance": "-2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"}
6
boltzmann,elem_charge,expansion,length,mass,resistance
m·ℓ·β·R·k_B·e
constants,em,mechanics,thermo
m·ℓ²·β⁻¹·R⁻²·k_B·e⁻⁴
m = k₀ · ℓ⁻²·β·R²·k_B⁻¹·e⁴
null
2
4
4
11
11.8
-4.8
false
{"mass": "1", "length": "2", "expansion": "-1", "resistance": "-2", "boltzmann": "1", "elem_charge": "-4"}
7
amount,capacitance,expansion,gas_constant,inductance,length,mass
m·ℓ·β·C_e·L_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β·C_e⁻¹·L_e⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·β⁻¹·C_e·L_e·n·R
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "2", "expansion": "1", "capacitance": "-1", "inductance": "-1", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,expansion,gas_constant,inductance,length,mass
m·ℓ·β·C_e·L_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·C_e⁻¹·L_e⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ·β⁻¹·C_e·L_e·c_n·R
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "-1", "expansion": "1", "capacitance": "-1", "inductance": "-1", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,expansion,gas_constant,inductance,length,mass
m·ℓ·β·C_e·L_e·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·β²·C_e⁻³·L_e⁻³·R⁻²·z⁻²
m = k₀ · ℓ⁻²·β⁻¹·C_e³ᐟ²·L_e³ᐟ²·R·z
null
0
4
4
18
16
-7.5
false
{"mass": "2", "length": "4", "expansion": "2", "capacitance": "-3", "inductance": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
avogadro,capacitance,expansion,gas_constant,inductance,length,mass
m·ℓ·β·C_e·L_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·C_e⁻¹·L_e⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁻²·β⁻¹·C_e·L_e·R·N_A⁻¹
null
1
5
2
8
8.6
-0.6
false
{"mass": "1", "length": "2", "expansion": "1", "capacitance": "-1", "inductance": "-1", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,expansion,inductance,length,mass
m·ℓ·β·C_e·L_e·k_B
constants,em,mechanics,thermo
m·ℓ²·β·C_e⁻¹·L_e⁻¹·k_B⁻¹
m = k₀ · ℓ⁻²·β⁻¹·C_e·L_e·k_B
null
1
4
2
7
7
1.5
false
{"mass": "1", "length": "2", "expansion": "1", "capacitance": "-1", "inductance": "-1", "boltzmann": "-1"}
7
capacitance,efield,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·C_e·E_f·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β⁻¹·C_e⁻¹·E_f⁻²·M_m⁻¹·R
m = k₀ · ℓ²·β·C_e·E_f²·M_m·R⁻¹
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-2", "expansion": "-1", "capacitance": "-1", "efield": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
capacitance,cat_activity,efield,expansion,gas_constant,length,mass
m·ℓ·β·C_e·E_f·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β⁻²·C_e⁻³·E_f⁻⁶·R²·z²
m = k₀ · ℓ⁴·β²·C_e³·E_f⁶·R⁻²·z⁻²
null
0
4
6
20
18.4
-9.9
false
{"mass": "1", "length": "-4", "expansion": "-2", "capacitance": "-3", "efield": "-6", "gas_constant": "2", "cat_activity": "2"}
7
amount,capacitance,expansion,gas_constant,length,mass,permeability
m·ℓ·β·C_e·μ₀·n·R
chemistry,em,mechanics,thermo
m·ℓ·β·C_e⁻¹·μ₀⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·β⁻¹·C_e·μ₀·n·R
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "1", "expansion": "1", "capacitance": "-1", "permeability": "-1", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,expansion,gas_constant,length,mass,permeability
m·ℓ·β·C_e·μ₀·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β·C_e⁻¹·μ₀⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ²·β⁻¹·C_e·μ₀·c_n·R
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-2", "expansion": "1", "capacitance": "-1", "permeability": "-1", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,expansion,gas_constant,length,mass,permeability
m·ℓ·β·C_e·μ₀·R·z
chemistry,em,mechanics,thermo
m²·ℓ·β²·C_e⁻³·μ₀⁻³·R⁻²·z⁻²
ℓ = k₀ · m⁻²·β⁻²·C_e³·μ₀³·R²·z²
null
0
4
3
15
13.4
-4.9
false
{"mass": "2", "length": "1", "expansion": "2", "capacitance": "-3", "permeability": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
avogadro,capacitance,expansion,gas_constant,length,mass,permeability
m·ℓ·β·C_e·μ₀·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ·β·C_e⁻¹·μ₀⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁻¹·β⁻¹·C_e·μ₀·R·N_A⁻¹
null
1
5
1
7
7.4
0.6
false
{"mass": "1", "length": "1", "expansion": "1", "capacitance": "-1", "permeability": "-1", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,expansion,length,mass,permeability
m·ℓ·β·C_e·μ₀·k_B
constants,em,mechanics,thermo
m·ℓ·β·C_e⁻¹·μ₀⁻¹·k_B⁻¹
m = k₀ · ℓ⁻¹·β⁻¹·C_e·μ₀·k_B
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "length": "1", "expansion": "1", "capacitance": "-1", "permeability": "-1", "boltzmann": "-1"}
7
amount,capacitance,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·C_e·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β·C_e⁻²·σ²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻⁴·β⁻¹·C_e²·σ⁻²·n·R
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "4", "expansion": "1", "capacitance": "-2", "conductivity": "2", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·C_e·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·β·C_e⁻²·σ²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·β⁻¹·C_e²·σ⁻²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "expansion": "1", "capacitance": "-2", "conductivity": "2", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·C_e·σ·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·β·C_e⁻³·σ³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻⁵·β⁻¹·C_e³·σ⁻³·R·z
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "expansion": "1", "capacitance": "-3", "conductivity": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,capacitance,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·C_e·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β·C_e⁻²·σ²·R⁻¹·N_A
m = k₀ · ℓ⁻⁴·β⁻¹·C_e²·σ⁻²·R·N_A⁻¹
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "4", "expansion": "1", "capacitance": "-2", "conductivity": "2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,conductivity,expansion,length,mass
m·ℓ·β·C_e·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β·C_e⁻²·σ²·k_B⁻¹
m = k₀ · ℓ⁻⁴·β⁻¹·C_e²·σ⁻²·k_B
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "4", "expansion": "1", "capacitance": "-2", "conductivity": "2", "boltzmann": "-1"}
7
amount,capacitance,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·C_e·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β·C_e⁻²·ρ_e⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻⁴·β⁻¹·C_e²·ρ_e²·n·R
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "4", "expansion": "1", "capacitance": "-2", "resistivity": "-2", "amount": "-1", "gas_constant": "-1"}
7
capacitance,concentration,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·C_e·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·β·C_e⁻²·ρ_e⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·β⁻¹·C_e²·ρ_e²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "expansion": "1", "capacitance": "-2", "resistivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
capacitance,cat_activity,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·C_e·ρ_e·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·β·C_e⁻³·ρ_e⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻⁵·β⁻¹·C_e³·ρ_e³·R·z
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "expansion": "1", "capacitance": "-3", "resistivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,capacitance,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·C_e·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β·C_e⁻²·ρ_e⁻²·R⁻¹·N_A
m = k₀ · ℓ⁻⁴·β⁻¹·C_e²·ρ_e²·R·N_A⁻¹
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "4", "expansion": "1", "capacitance": "-2", "resistivity": "-2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,capacitance,expansion,length,mass,resistivity
m·ℓ·β·C_e·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β·C_e⁻²·ρ_e⁻²·k_B⁻¹
m = k₀ · ℓ⁻⁴·β⁻¹·C_e²·ρ_e²·k_B
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "4", "expansion": "1", "capacitance": "-2", "resistivity": "-2", "boltzmann": "-1"}
7
capacitance,cat_activity,elem_charge,expansion,gas_constant,length,mass
m·ℓ·β·C_e·R·z·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻²·C_e³·R²·z²·e⁻⁶
m = k₀ · ℓ⁻²·β²·C_e⁻³·R⁻²·z⁻²·e⁶
null
1
5
6
18
17.6
-9.6
false
{"mass": "1", "length": "2", "expansion": "-2", "capacitance": "3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-6"}
7
amount,efield,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·E_f·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β²·L_e⁻¹·E_f²·n⁻²·R⁻²
m = k₀ · ℓ⁻⁴·β⁻²·L_e·E_f⁻²·n²·R²
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "4", "expansion": "2", "inductance": "-1", "efield": "2", "amount": "-2", "gas_constant": "-2"}
7
efield,expansion,gas_constant,inductance,length,mass,molar_mass
m·ℓ·β·L_e·E_f·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β⁻²·L_e·E_f⁻²·M_m⁻²·R²
m = k₀ · ℓ⁴·β²·L_e⁻¹·E_f²·M_m²·R⁻²
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "expansion": "-2", "inductance": "1", "efield": "-2", "molar_mass": "-2", "gas_constant": "2"}
7
concentration,efield,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·E_f·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β²·L_e⁻¹·E_f²·c_n⁻²·R⁻²
m = k₀ · ℓ²·β⁻²·L_e·E_f⁻²·c_n²·R²
null
0
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "-2", "expansion": "2", "inductance": "-1", "efield": "2", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,efield,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·E_f·R·z
chemistry,em,mechanics,thermo
m·ℓ⁸·β⁴·L_e⁻³·E_f⁶·R⁻⁴·z⁻⁴
m = k₀ · ℓ⁻⁸·β⁻⁴·L_e³·E_f⁻⁶·R⁴·z⁴
null
0
4
8
30
26.4
-17.9
false
{"mass": "1", "length": "8", "expansion": "4", "inductance": "-3", "efield": "6", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,efield,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·E_f·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β²·L_e⁻¹·E_f²·R⁻²·N_A²
m = k₀ · ℓ⁻⁴·β⁻²·L_e·E_f⁻²·R²·N_A⁻²
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "expansion": "2", "inductance": "-1", "efield": "2", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,efield,expansion,inductance,length,mass
m·ℓ·β·L_e·E_f·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β²·L_e⁻¹·E_f²·k_B⁻²
m = k₀ · ℓ⁻⁴·β⁻²·L_e·E_f⁻²·k_B²
null
1
4
4
12
11.5
-3
false
{"mass": "1", "length": "4", "expansion": "2", "inductance": "-1", "efield": "2", "boltzmann": "-2"}
7
bfield,expansion,gas_constant,inductance,length,mass,molar_mass
m·ℓ·β·L_e·B·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β⁻¹·L_e·B⁻²·M_m⁻¹·R
m = k₀ · ℓ⁴·β·L_e⁻¹·B²·M_m·R⁻¹
null
0
4
4
11
11.1
-2.6
false
{"mass": "1", "length": "-4", "expansion": "-1", "inductance": "1", "bfield": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,cat_activity,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·B·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹⁰·β⁻²·L_e³·B⁻⁶·R²·z²
m = k₀ · ℓ¹⁰·β²·L_e⁻³·B⁶·R⁻²·z⁻²
null
0
4
10
26
24.6
-16.1
false
{"mass": "1", "length": "-10", "expansion": "-2", "inductance": "3", "bfield": "-6", "gas_constant": "2", "cat_activity": "2"}
7
cat_activity,expansion,gas_constant,inductance,length,mag_flux,mass
m·ℓ·β·L_e·Φ·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁻²·L_e³·Φ⁻⁶·R²·z²
m = k₀ · ℓ⁻²·β²·L_e⁻³·Φ⁶·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "1", "length": "2", "expansion": "-2", "inductance": "3", "mag_flux": "-6", "gas_constant": "2", "cat_activity": "2"}
7
amount,expansion,gas_constant,inductance,length,mass,permittivity
m·ℓ·β·L_e·ε·n·R
chemistry,em,mechanics,thermo
m·ℓ·β·L_e⁻¹·ε⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁻¹·β⁻¹·L_e·ε·n·R
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "1", "expansion": "1", "inductance": "-1", "permittivity": "-1", "amount": "-1", "gas_constant": "-1"}
7
concentration,expansion,gas_constant,inductance,length,mass,permittivity
m·ℓ·β·L_e·ε·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β·L_e⁻¹·ε⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ²·β⁻¹·L_e·ε·c_n·R
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-2", "expansion": "1", "inductance": "-1", "permittivity": "-1", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,expansion,gas_constant,inductance,length,mass,permittivity
m·ℓ·β·L_e·ε·R·z
chemistry,em,mechanics,thermo
m²·ℓ·β²·L_e⁻³·ε⁻³·R⁻²·z⁻²
ℓ = k₀ · m⁻²·β⁻²·L_e³·ε³·R²·z²
null
0
4
3
15
13.4
-4.9
false
{"mass": "2", "length": "1", "expansion": "2", "inductance": "-3", "permittivity": "-3", "gas_constant": "-2", "cat_activity": "-2"}
7
avogadro,expansion,gas_constant,inductance,length,mass,permittivity
m·ℓ·β·L_e·ε·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ·β·L_e⁻¹·ε⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁻¹·β⁻¹·L_e·ε·R·N_A⁻¹
null
1
5
1
7
7.4
0.6
false
{"mass": "1", "length": "1", "expansion": "1", "inductance": "-1", "permittivity": "-1", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,expansion,inductance,length,mass,permittivity
m·ℓ·β·L_e·ε·k_B
constants,em,mechanics,thermo
m·ℓ·β·L_e⁻¹·ε⁻¹·k_B⁻¹
m = k₀ · ℓ⁻¹·β⁻¹·L_e·ε·k_B
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "length": "1", "expansion": "1", "inductance": "-1", "permittivity": "-1", "boltzmann": "-1"}
7
concentration,conductivity,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·β·L_e⁻²·σ⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·β⁻¹·L_e²·σ²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "expansion": "1", "inductance": "-2", "conductivity": "-2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,conductivity,expansion,gas_constant,inductance,length,mass
m·ℓ·β·L_e·σ·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·L_e⁻³·σ⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ·β⁻¹·L_e³·σ³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "expansion": "1", "inductance": "-3", "conductivity": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
concentration,expansion,gas_constant,inductance,length,mass,resistivity
m·ℓ·β·L_e·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻³·β·L_e⁻²·ρ_e²·c_n⁻¹·R⁻¹
m = k₀ · ℓ³·β⁻¹·L_e²·ρ_e⁻²·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-3", "expansion": "1", "inductance": "-2", "resistivity": "2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,expansion,gas_constant,inductance,length,mass,resistivity
m·ℓ·β·L_e·ρ_e·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·L_e⁻³·ρ_e³·R⁻¹·z⁻¹
m = k₀ · ℓ·β⁻¹·L_e³·ρ_e⁻³·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "length": "-1", "expansion": "1", "inductance": "-3", "resistivity": "3", "gas_constant": "-1", "cat_activity": "-1"}