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
6
length,mass,permittivity,resistance,temperature,thermal_cond
m·ℓ·Θ·κ·R·ε
em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·κ⁻¹·R⁻³·ε⁻³
m = k₀ · ℓ²·Θ·κ·R³·ε³
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_cond": "-1", "resistance": "-3", "permittivity": "-3"}
6
length,mass,permeability,resistance,temperature,thermal_cond
m·ℓ·Θ·κ·R·μ₀
em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·κ⁻¹·R³·μ₀⁻³
m = k₀ · ℓ²·Θ·κ·R⁻³·μ₀³
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_cond": "-1", "resistance": "3", "permeability": "-3"}
6
elem_charge,length,mass,resistance,temperature,thermal_cond
m·ℓ·Θ·κ·R·e
constants,em,mechanics,thermo
m²·ℓ⁵·Θ·κ·R⁻³·e⁻⁶
Θ = k₀ · m⁻²·ℓ⁻⁵·κ⁻¹·R³·e⁶
null
1
4
6
18
16.7
-8.2
false
{"mass": "2", "length": "5", "temperature": "1", "thermal_cond": "1", "resistance": "-3", "elem_charge": "-6"}
6
capacitance,inductance,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·C_e·L_e
em,mechanics,thermo
m²·ℓ²·Θ⁻²·κ⁻²·C_e⁻³·L_e⁻³
m = k₀ · ℓ⁻¹·Θ·κ·C_e³ᐟ²·L_e³ᐟ²
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "length": "2", "temperature": "-2", "thermal_cond": "-2", "capacitance": "-3", "inductance": "-3"}
6
capacitance,efield,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·C_e·E_f
em,mechanics,thermo
m·ℓ⁻²·Θ²·κ²·C_e⁻³·E_f⁻⁶
m = k₀ · ℓ²·Θ⁻²·κ⁻²·C_e³·E_f⁶
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "length": "-2", "temperature": "2", "thermal_cond": "2", "capacitance": "-3", "efield": "-6"}
6
capacitance,length,mass,permeability,temperature,thermal_cond
m·ℓ·Θ·κ·C_e·μ₀
em,mechanics,thermo
m²·ℓ⁻¹·Θ⁻²·κ⁻²·C_e⁻³·μ₀⁻³
ℓ = k₀ · m²·Θ⁻²·κ⁻²·C_e⁻³·μ₀⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "length": "-1", "temperature": "-2", "thermal_cond": "-2", "capacitance": "-3", "permeability": "-3"}
6
capacitance,conductivity,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·C_e·σ
em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·κ⁻¹·C_e⁻³·σ³
m = k₀ · ℓ⁻⁴·Θ·κ·C_e³·σ⁻³
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "length": "4", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-3", "conductivity": "3"}
6
capacitance,length,mass,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·C_e·ρ_e
em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·κ⁻¹·C_e⁻³·ρ_e⁻³
m = k₀ · ℓ⁻⁴·Θ·κ·C_e³·ρ_e³
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "length": "4", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-3", "resistivity": "-3"}
6
capacitance,elem_charge,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·C_e·e
constants,em,mechanics,thermo
m·ℓ⁴·Θ²·κ²·C_e³·e⁻⁶
m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·C_e⁻³·e⁶
null
1
4
6
18
16.7
-8.2
false
{"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "capacitance": "3", "elem_charge": "-6"}
6
efield,inductance,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·L_e·E_f
em,mechanics,thermo
m·ℓ⁴·Θ⁻⁴·κ⁻⁴·L_e⁻³·E_f⁶
m = k₀ · ℓ⁻⁴·Θ⁴·κ⁴·L_e³·E_f⁻⁶
null
0
3
6
22
18.9
-9.9
false
{"mass": "1", "length": "4", "temperature": "-4", "thermal_cond": "-4", "inductance": "-3", "efield": "6"}
6
bfield,inductance,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·L_e·B
em,mechanics,thermo
m·ℓ⁻⁸·Θ²·κ²·L_e³·B⁻⁶
m = k₀ · ℓ⁸·Θ⁻²·κ⁻²·L_e⁻³·B⁶
null
0
3
8
22
19.9
-10.9
false
{"mass": "1", "length": "-8", "temperature": "2", "thermal_cond": "2", "inductance": "3", "bfield": "-6"}
6
inductance,length,mag_flux,mass,temperature,thermal_cond
m·ℓ·Θ·κ·L_e·Φ
em,mechanics,thermo
m·ℓ⁴·Θ²·κ²·L_e³·Φ⁻⁶
m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·L_e⁻³·Φ⁶
null
0
3
6
18
16.1
-7.1
false
{"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "inductance": "3", "mag_flux": "-6"}
6
inductance,length,mass,permittivity,temperature,thermal_cond
m·ℓ·Θ·κ·L_e·ε
em,mechanics,thermo
m²·ℓ⁻¹·Θ⁻²·κ⁻²·L_e⁻³·ε⁻³
ℓ = k₀ · m²·Θ⁻²·κ⁻²·L_e⁻³·ε⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "length": "-1", "temperature": "-2", "thermal_cond": "-2", "inductance": "-3", "permittivity": "-3"}
6
conductivity,inductance,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·L_e·σ
em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·κ⁻¹·L_e⁻³·σ⁻³
m = k₀ · ℓ²·Θ·κ·L_e³·σ³
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_cond": "-1", "inductance": "-3", "conductivity": "-3"}
6
inductance,length,mass,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·L_e·ρ_e
em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·κ⁻¹·L_e⁻³·ρ_e³
m = k₀ · ℓ²·Θ·κ·L_e³·ρ_e⁻³
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_cond": "-1", "inductance": "-3", "resistivity": "3"}
6
bfield,efield,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·E_f·B
em,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·κ⁻¹·E_f³·B⁻³
m = k₀ · ℓ²·Θ·κ·E_f⁻³·B³
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_cond": "-1", "efield": "3", "bfield": "-3"}
6
efield,length,mag_flux,mass,temperature,thermal_cond
m·ℓ·Θ·κ·E_f·Φ
em,mechanics,thermo
m·ℓ⁴·Θ⁻¹·κ⁻¹·E_f³·Φ⁻³
m = k₀ · ℓ⁻⁴·Θ·κ·E_f⁻³·Φ³
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "length": "4", "temperature": "-1", "thermal_cond": "-1", "efield": "3", "mag_flux": "-3"}
6
efield,length,mass,permittivity,temperature,thermal_cond
m·ℓ·Θ·κ·E_f·ε
em,mechanics,thermo
m·ℓ⁻⁵·Θ²·κ²·E_f⁻⁶·ε⁻³
m = k₀ · ℓ⁵·Θ⁻²·κ⁻²·E_f⁶·ε³
null
0
3
6
19
16.8
-7.8
false
{"mass": "1", "length": "-5", "temperature": "2", "thermal_cond": "2", "efield": "-6", "permittivity": "-3"}
6
efield,length,mass,permeability,temperature,thermal_cond
m·ℓ·Θ·κ·E_f·μ₀
em,mechanics,thermo
m·ℓ·Θ⁻⁴·κ⁻⁴·E_f⁶·μ₀⁻³
m = k₀ · ℓ⁻¹·Θ⁴·κ⁴·E_f⁻⁶·μ₀³
null
0
3
6
19
16.8
-7.8
false
{"mass": "1", "length": "1", "temperature": "-4", "thermal_cond": "-4", "efield": "6", "permeability": "-3"}
6
efield,elem_charge,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·E_f·e
constants,em,mechanics,thermo
m·ℓ·Θ²·κ²·E_f⁻³·e⁻³
m = k₀ · ℓ⁻¹·Θ⁻²·κ⁻²·E_f³·e³
null
1
4
3
12
11
-2.5
false
{"mass": "1", "length": "1", "temperature": "2", "thermal_cond": "2", "efield": "-3", "elem_charge": "-3"}
6
bfield,length,mass,permeability,temperature,thermal_cond
m·ℓ·Θ·κ·B·μ₀
em,mechanics,thermo
m·ℓ⁻⁵·Θ²·κ²·B⁻⁶·μ₀³
m = k₀ · ℓ⁵·Θ⁻²·κ⁻²·B⁶·μ₀⁻³
null
0
3
6
19
16.8
-7.8
false
{"mass": "1", "length": "-5", "temperature": "2", "thermal_cond": "2", "bfield": "-6", "permeability": "3"}
6
bfield,conductivity,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·B·σ
em,mechanics,thermo
m²·ℓ⁻¹⁰·Θ·κ·B⁻⁶·σ⁻³
Θ = k₀ · m⁻²·ℓ¹⁰·κ⁻¹·B⁶·σ³
null
0
3
10
23
21.6
-12.6
false
{"mass": "2", "length": "-10", "temperature": "1", "thermal_cond": "1", "bfield": "-6", "conductivity": "-3"}
6
bfield,length,mass,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·B·ρ_e
em,mechanics,thermo
m²·ℓ⁻¹⁰·Θ·κ·B⁻⁶·ρ_e³
Θ = k₀ · m⁻²·ℓ¹⁰·κ⁻¹·B⁶·ρ_e⁻³
null
0
3
10
23
21.6
-12.6
false
{"mass": "2", "length": "-10", "temperature": "1", "thermal_cond": "1", "bfield": "-6", "resistivity": "3"}
6
bfield,elem_charge,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·B·e
constants,em,mechanics,thermo
m²·ℓ⁻¹·Θ·κ·B⁻³·e⁻³
ℓ = k₀ · m²·Θ·κ·B⁻³·e⁻³
null
1
4
3
11
10.3
-1.8
false
{"mass": "2", "length": "-1", "temperature": "1", "thermal_cond": "1", "bfield": "-3", "elem_charge": "-3"}
6
length,mag_flux,mass,permeability,temperature,thermal_cond
m·ℓ·Θ·κ·Φ·μ₀
em,mechanics,thermo
m·ℓ⁷·Θ²·κ²·Φ⁻⁶·μ₀³
m = k₀ · ℓ⁻⁷·Θ⁻²·κ⁻²·Φ⁶·μ₀⁻³
null
0
3
7
21
18.7
-9.7
false
{"mass": "1", "length": "7", "temperature": "2", "thermal_cond": "2", "mag_flux": "-6", "permeability": "3"}
6
conductivity,length,mag_flux,mass,temperature,thermal_cond
m·ℓ·Θ·κ·Φ·σ
em,mechanics,thermo
m²·ℓ²·Θ·κ·Φ⁻⁶·σ⁻³
Θ = k₀ · m⁻²·ℓ⁻²·κ⁻¹·Φ⁶·σ³
null
0
3
6
15
14
-5
false
{"mass": "2", "length": "2", "temperature": "1", "thermal_cond": "1", "mag_flux": "-6", "conductivity": "-3"}
6
length,mag_flux,mass,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·Φ·ρ_e
em,mechanics,thermo
m²·ℓ²·Θ·κ·Φ⁻⁶·ρ_e³
Θ = k₀ · m⁻²·ℓ⁻²·κ⁻¹·Φ⁶·ρ_e⁻³
null
0
3
6
15
14
-5
false
{"mass": "2", "length": "2", "temperature": "1", "thermal_cond": "1", "mag_flux": "-6", "resistivity": "3"}
6
elem_charge,length,mag_flux,mass,temperature,thermal_cond
m·ℓ·Θ·κ·Φ·e
constants,em,mechanics,thermo
m²·ℓ⁵·Θ·κ·Φ⁻³·e⁻³
Θ = k₀ · m⁻²·ℓ⁻⁵·κ⁻¹·Φ³·e³
null
1
4
5
15
14.1
-5.6
false
{"mass": "2", "length": "5", "temperature": "1", "thermal_cond": "1", "mag_flux": "-3", "elem_charge": "-3"}
6
length,mass,permeability,permittivity,temperature,thermal_cond
m·ℓ·Θ·κ·ε·μ₀
em,mechanics,thermo
m²·ℓ⁻⁴·Θ⁻²·κ⁻²·ε⁻³·μ₀⁻³
m = k₀ · ℓ²·Θ·κ·ε³ᐟ²·μ₀³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "length": "-4", "temperature": "-2", "thermal_cond": "-2", "permittivity": "-3", "permeability": "-3"}
6
conductivity,length,mass,permittivity,temperature,thermal_cond
m·ℓ·Θ·κ·ε·σ
em,mechanics,thermo
m·ℓ·Θ⁻¹·κ⁻¹·ε⁻³·σ³
m = k₀ · ℓ⁻¹·Θ·κ·ε³·σ⁻³
null
0
3
3
10
9
0
false
{"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "permittivity": "-3", "conductivity": "3"}
6
length,mass,permittivity,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·ε·ρ_e
em,mechanics,thermo
m·ℓ·Θ⁻¹·κ⁻¹·ε⁻³·ρ_e⁻³
m = k₀ · ℓ⁻¹·Θ·κ·ε³·ρ_e³
null
0
3
3
10
9
0
false
{"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "permittivity": "-3", "resistivity": "-3"}
6
elem_charge,length,mass,permittivity,temperature,thermal_cond
m·ℓ·Θ·κ·ε·e
constants,em,mechanics,thermo
m·ℓ⁷·Θ²·κ²·ε³·e⁻⁶
m = k₀ · ℓ⁻⁷·Θ⁻²·κ⁻²·ε⁻³·e⁶
null
1
4
7
21
19.3
-10.8
false
{"mass": "1", "length": "7", "temperature": "2", "thermal_cond": "2", "permittivity": "3", "elem_charge": "-6"}
6
conductivity,length,mass,permeability,temperature,thermal_cond
m·ℓ·Θ·κ·μ₀·σ
em,mechanics,thermo
m·ℓ⁻⁵·Θ⁻¹·κ⁻¹·μ₀⁻³·σ⁻³
m = k₀ · ℓ⁵·Θ·κ·μ₀³·σ³
null
0
3
5
14
12.8
-3.8
false
{"mass": "1", "length": "-5", "temperature": "-1", "thermal_cond": "-1", "permeability": "-3", "conductivity": "-3"}
6
length,mass,permeability,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·μ₀·ρ_e
em,mechanics,thermo
m·ℓ⁻⁵·Θ⁻¹·κ⁻¹·μ₀⁻³·ρ_e³
m = k₀ · ℓ⁵·Θ·κ·μ₀³·ρ_e⁻³
null
0
3
5
14
12.8
-3.8
false
{"mass": "1", "length": "-5", "temperature": "-1", "thermal_cond": "-1", "permeability": "-3", "resistivity": "3"}
6
conductivity,elem_charge,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·σ·e
constants,em,mechanics,thermo
m²·ℓ⁸·Θ·κ·σ³·e⁻⁶
Θ = k₀ · m⁻²·ℓ⁻⁸·κ⁻¹·σ⁻³·e⁶
null
1
4
8
21
19.8
-11.3
false
{"mass": "2", "length": "8", "temperature": "1", "thermal_cond": "1", "conductivity": "3", "elem_charge": "-6"}
6
elem_charge,length,mass,resistivity,temperature,thermal_cond
m·ℓ·Θ·κ·ρ_e·e
constants,em,mechanics,thermo
m²·ℓ⁸·Θ·κ·ρ_e⁻³·e⁻⁶
Θ = k₀ · m⁻²·ℓ⁻⁸·κ⁻¹·ρ_e³·e⁶
null
1
4
8
21
19.8
-11.3
false
{"mass": "2", "length": "8", "temperature": "1", "thermal_cond": "1", "resistivity": "-3", "elem_charge": "-6"}
6
amount,length,mass,molar_energy,temperature,thermal_cond
m·ℓ·Θ·κ·n·E_m
chemistry,mechanics,thermo
m·ℓ⁴·Θ²·κ²·n⁻³·E_m⁻³
m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·n³·E_m³
null
0
3
4
15
13
-4
false
{"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "amount": "-3", "molar_energy": "-3"}
6
amount,gas_constant,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·n·R
chemistry,mechanics,thermo
m·ℓ⁴·Θ⁻¹·κ²·n⁻³·R⁻³
m = k₀ · ℓ⁻⁴·Θ·κ⁻²·n³·R³
null
0
3
4
14
12.3
-3.3
false
{"mass": "1", "length": "4", "temperature": "-1", "thermal_cond": "2", "amount": "-3", "gas_constant": "-3"}
6
amount,cat_activity,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·n·z
chemistry,mechanics,thermo
m·ℓ·Θ⁻¹·κ⁻¹·n⁻³·z³
m = k₀ · ℓ⁻¹·Θ·κ·n³·z⁻³
null
0
3
3
10
9
0
false
{"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "amount": "-3", "cat_activity": "3"}
6
length,mass,molar_energy,molar_mass,temperature,thermal_cond
m·ℓ·Θ·κ·M_m·E_m
chemistry,mechanics,thermo
m²·ℓ⁻⁴·Θ⁻²·κ⁻²·M_m⁻³·E_m³
m = k₀ · ℓ²·Θ·κ·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "length": "-4", "temperature": "-2", "thermal_cond": "-2", "molar_mass": "-3", "molar_energy": "3"}
6
gas_constant,length,mass,molar_mass,temperature,thermal_cond
m·ℓ·Θ·κ·M_m·R
chemistry,mechanics,thermo
m²·ℓ⁻⁴·Θ·κ⁻²·M_m⁻³·R³
Θ = k₀ · m⁻²·ℓ⁴·κ²·M_m³·R⁻³
null
0
3
4
15
13
-4
false
{"mass": "2", "length": "-4", "temperature": "1", "thermal_cond": "-2", "molar_mass": "-3", "gas_constant": "3"}
6
cat_activity,length,mass,molar_mass,temperature,thermal_cond
m·ℓ·Θ·κ·M_m·z
chemistry,mechanics,thermo
m²·ℓ⁻¹·Θ·κ·M_m⁻³·z⁻³
ℓ = k₀ · m²·Θ·κ·M_m⁻³·z⁻³
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "length": "-1", "temperature": "1", "thermal_cond": "1", "molar_mass": "-3", "cat_activity": "-3"}
6
concentration,length,mass,molar_energy,temperature,thermal_cond
m·ℓ·Θ·κ·c_n·E_m
chemistry,mechanics,thermo
m·ℓ⁻⁵·Θ²·κ²·c_n⁻³·E_m⁻³
m = k₀ · ℓ⁵·Θ⁻²·κ⁻²·c_n³·E_m³
null
0
3
5
16
14.2
-5.2
false
{"mass": "1", "length": "-5", "temperature": "2", "thermal_cond": "2", "concentration": "-3", "molar_energy": "-3"}
6
concentration,gas_constant,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁵·Θ⁻¹·κ²·c_n⁻³·R⁻³
m = k₀ · ℓ⁵·Θ·κ⁻²·c_n³·R³
null
0
3
5
15
13.5
-4.5
false
{"mass": "1", "length": "-5", "temperature": "-1", "thermal_cond": "2", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,concentration,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·c_n·z
chemistry,mechanics,thermo
m·ℓ⁻⁸·Θ⁻¹·κ⁻¹·c_n⁻³·z³
m = k₀ · ℓ⁸·Θ·κ·c_n³·z⁻³
null
0
3
8
17
16.4
-7.4
false
{"mass": "1", "length": "-8", "temperature": "-1", "thermal_cond": "-1", "concentration": "-3", "cat_activity": "3"}
6
avogadro,length,mass,molar_energy,temperature,thermal_cond
m·ℓ·Θ·κ·E_m·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁴·Θ²·κ²·E_m⁻³·N_A³
m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·E_m³·N_A⁻³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "molar_energy": "-3", "avogadro": "3"}
6
avogadro,gas_constant,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁴·Θ⁻¹·κ²·R⁻³·N_A³
m = k₀ · ℓ⁻⁴·Θ·κ⁻²·R³·N_A⁻³
null
1
4
4
14
12.9
-4.4
false
{"mass": "1", "length": "4", "temperature": "-1", "thermal_cond": "2", "gas_constant": "-3", "avogadro": "3"}
6
avogadro,cat_activity,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·z·N_A
chemistry,constants,mechanics,thermo
m·ℓ·Θ⁻¹·κ⁻¹·z³·N_A³
m = k₀ · ℓ⁻¹·Θ·κ·z⁻³·N_A⁻³
null
1
4
3
10
9.6
-1.1
false
{"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "cat_activity": "3", "avogadro": "3"}
5
length,light_speed,mass,temperature,thermal_cond
m·ℓ·Θ·κ·c₀
constants,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·κ⁻¹·c₀³
m = k₀ · ℓ²·Θ·κ·c₀⁻³
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_cond": "-1", "light_speed": "3"}
5
grav_const,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·G
constants,mechanics,thermo
m⁵·ℓ⁻⁷·Θ⁻²·κ⁻²·G³
Θ = k₀ · m⁵ᐟ²·ℓ⁻⁷ᐟ²·κ⁻¹·G³ᐟ²
null
1
3
7
19
17
-8
false
{"mass": "5", "length": "-7", "temperature": "-2", "thermal_cond": "-2", "grav_const": "3"}
5
length,mass,planck,temperature,thermal_cond
m·ℓ·Θ·κ·h
constants,mechanics,thermo
m²·ℓ⁵·Θ·κ·h⁻³
Θ = k₀ · m⁻²·ℓ⁻⁵·κ⁻¹·h³
null
1
3
5
12
11.1
-2.1
false
{"mass": "2", "length": "5", "temperature": "1", "thermal_cond": "1", "planck": "-3"}
5
boltzmann,length,mass,temperature,thermal_cond
m·ℓ·Θ·κ·k_B
constants,mechanics,thermo
m·ℓ⁴·Θ⁻¹·κ²·k_B⁻³
m = k₀ · ℓ⁻⁴·Θ·κ⁻²·k_B³
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "length": "4", "temperature": "-1", "thermal_cond": "2", "boltzmann": "-3"}
6
amount,gas_constant,length,mass,temperature,thermal_diff
m·ℓ·Θ·α·n·R
chemistry,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·α²·n⁻¹·R⁻¹
m = k₀ · ℓ²·Θ·α⁻²·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_diff": "2", "amount": "-1", "gas_constant": "-1"}
6
concentration,gas_constant,length,mass,temperature,thermal_diff
m·ℓ·Θ·α·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁵·Θ⁻¹·α²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁵·Θ·α⁻²·c_n·R
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "length": "-5", "temperature": "-1", "thermal_diff": "2", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,length,mass,temperature,thermal_diff
m·ℓ·Θ·α·R·z
chemistry,mechanics,thermo
m·ℓ⁻⁴·Θ⁻¹·α³·R⁻¹·z⁻¹
m = k₀ · ℓ⁴·Θ·α⁻³·R·z
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "length": "-4", "temperature": "-1", "thermal_diff": "3", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,length,mass,temperature,thermal_diff
m·ℓ·Θ·α·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·α²·R⁻¹·N_A
m = k₀ · ℓ²·Θ·α⁻²·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_diff": "2", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,length,mass,temperature,thermal_diff
m·ℓ·Θ·α·k_B
constants,mechanics,thermo
m·ℓ⁻²·Θ⁻¹·α²·k_B⁻¹
m = k₀ · ℓ²·Θ·α⁻²·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "-2", "temperature": "-1", "thermal_diff": "2", "boltzmann": "-1"}
7
amount,charge,current,gas_constant,length,mass,temperature
m·ℓ·Θ·q·i·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·q⁻²·i²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·Θ·q²·i⁻²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "temperature": "-1", "charge": "-2", "current": "2", "amount": "-1", "gas_constant": "-1"}
7
charge,concentration,current,gas_constant,length,mass,temperature
m·ℓ·Θ·q·i·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ⁻¹·q⁻²·i²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·Θ·q²·i⁻²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "temperature": "-1", "charge": "-2", "current": "2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,current,gas_constant,length,mass,temperature
m·ℓ·Θ·q·i·R·z
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻¹·q⁻³·i³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·Θ·q³·i⁻³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "temperature": "-1", "charge": "-3", "current": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,charge,current,gas_constant,length,mass,temperature
m·ℓ·Θ·q·i·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·q⁻²·i²·R⁻¹·N_A
m = k₀ · ℓ⁻²·Θ·q²·i⁻²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "temperature": "-1", "charge": "-2", "current": "2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,charge,current,length,mass,temperature
m·ℓ·Θ·q·i·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ⁻¹·q⁻²·i²·k_B⁻¹
m = k₀ · ℓ⁻²·Θ·q²·i⁻²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "temperature": "-1", "charge": "-2", "current": "2", "boltzmann": "-1"}
7
cat_activity,charge,gas_constant,length,mass,temperature,voltage
m·ℓ·Θ·q·U·R·z
chemistry,em,mechanics,thermo
m·ℓ²·Θ²·q⁻³·U⁻³·R²·z²
m = k₀ · ℓ⁻²·Θ⁻²·q³·U³·R⁻²·z⁻²
null
0
4
3
15
13.4
-4.9
false
{"mass": "1", "length": "2", "temperature": "2", "charge": "-3", "voltage": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·q·R·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ·q⁻⁴·R⁻²·n·R
m = k₀ · ℓ⁻²·Θ⁻¹·q⁴·R²·n⁻¹·R⁻¹
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "2", "temperature": "1", "charge": "-4", "resistance": "-2", "amount": "1", "gas_constant": "1"}
7
charge,gas_constant,length,mass,molar_mass,resistance,temperature
m·ℓ·Θ·q·R·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ²·Θ·q⁻⁴·R⁻²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁻²·q⁴·R²·M_m·R⁻¹
null
0
4
4
13
12.5
-4
false
{"mass": "2", "length": "2", "temperature": "1", "charge": "-4", "resistance": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·q·R·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ·q⁻⁴·R⁻²·c_n·R
m = k₀ · ℓ⁻⁵·Θ⁻¹·q⁴·R²·c_n⁻¹·R⁻¹
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "temperature": "1", "charge": "-4", "resistance": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·q·R·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·Θ·q⁻⁶·R⁻³·R·z
Θ = k₀ · m⁻²·ℓ⁻⁴·q⁶·R³·R⁻¹·z⁻¹
null
0
4
6
18
17
-8.5
false
{"mass": "2", "length": "4", "temperature": "1", "charge": "-6", "resistance": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,gas_constant,length,mass,resistance,temperature
m·ℓ·Θ·q·R·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·q⁻⁴·R⁻²·R·N_A⁻¹
m = k₀ · ℓ⁻²·Θ⁻¹·q⁴·R²·R⁻¹·N_A
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "2", "temperature": "1", "charge": "-4", "resistance": "-2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,length,mass,resistance,temperature
m·ℓ·Θ·q·R·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ·q⁻⁴·R⁻²·k_B
m = k₀ · ℓ⁻²·Θ⁻¹·q⁴·R²·k_B⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "2", "temperature": "1", "charge": "-4", "resistance": "-2", "boltzmann": "1"}
7
capacitance,cat_activity,charge,gas_constant,length,mass,temperature
m·ℓ·Θ·q·C_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·Θ²·q⁻⁶·C_e³·R²·z²
m = k₀ · ℓ⁻²·Θ⁻²·q⁶·C_e⁻³·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "1", "length": "2", "temperature": "2", "charge": "-6", "capacitance": "3", "gas_constant": "2", "cat_activity": "2"}
7
charge,efield,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·q·E_f·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ·q⁻¹·E_f⁻¹·M_m⁻¹·R
m = k₀ · ℓ·Θ⁻¹·q·E_f·M_m·R⁻¹
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "-1", "temperature": "1", "charge": "-1", "efield": "-1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,charge,efield,gas_constant,length,mass,temperature
m·ℓ·Θ·q·E_f·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·Θ²·q⁻³·E_f⁻³·R²·z²
m = k₀ · ℓ·Θ⁻²·q³·E_f³·R⁻²·z⁻²
null
0
4
3
14
12.7
-4.2
false
{"mass": "1", "length": "-1", "temperature": "2", "charge": "-3", "efield": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,bfield,charge,gas_constant,length,mass,temperature
m·ℓ·Θ·q·B·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·Θ·q⁻²·B⁻²·n·R
m = k₀ · ℓ²·Θ⁻¹·q²·B²·n⁻¹·R⁻¹
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "-2", "temperature": "1", "charge": "-2", "bfield": "-2", "amount": "1", "gas_constant": "1"}
7
bfield,charge,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·q·B·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻²·Θ·q⁻²·B⁻²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ²·q²·B²·M_m·R⁻¹
null
0
4
2
11
10.1
-1.6
false
{"mass": "2", "length": "-2", "temperature": "1", "charge": "-2", "bfield": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,charge,concentration,gas_constant,length,mass,temperature
m·ℓ·Θ·q·B·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·Θ·q⁻²·B⁻²·c_n·R
m = k₀ · ℓ⁻¹·Θ⁻¹·q²·B²·c_n⁻¹·R⁻¹
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "temperature": "1", "charge": "-2", "bfield": "-2", "concentration": "1", "gas_constant": "1"}
7
bfield,cat_activity,charge,gas_constant,length,mass,temperature
m·ℓ·Θ·q·B·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁻²·Θ·q⁻³·B⁻³·R·z
Θ = k₀ · m⁻²·ℓ²·q³·B³·R⁻¹·z⁻¹
null
0
4
3
13
12
-3.5
false
{"mass": "2", "length": "-2", "temperature": "1", "charge": "-3", "bfield": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,bfield,charge,gas_constant,length,mass,temperature
m·ℓ·Θ·q·B·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·Θ·q⁻²·B⁻²·R·N_A⁻¹
m = k₀ · ℓ²·Θ⁻¹·q²·B²·R⁻¹·N_A
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "-2", "temperature": "1", "charge": "-2", "bfield": "-2", "gas_constant": "1", "avogadro": "-1"}
6
bfield,boltzmann,charge,length,mass,temperature
m·ℓ·Θ·q·B·k_B
constants,em,mechanics,thermo
m·ℓ⁻²·Θ·q⁻²·B⁻²·k_B
m = k₀ · ℓ²·Θ⁻¹·q²·B²·k_B⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "-2", "temperature": "1", "charge": "-2", "bfield": "-2", "boltzmann": "1"}
7
amount,charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·q·Φ·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ·q⁻²·Φ⁻²·n·R
m = k₀ · ℓ⁻²·Θ⁻¹·q²·Φ²·n⁻¹·R⁻¹
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "temperature": "1", "charge": "-2", "mag_flux": "-2", "amount": "1", "gas_constant": "1"}
7
charge,gas_constant,length,mag_flux,mass,molar_mass,temperature
m·ℓ·Θ·q·Φ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ²·Θ·q⁻²·Φ⁻²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁻²·q²·Φ²·M_m·R⁻¹
null
0
4
2
11
10.1
-1.6
false
{"mass": "2", "length": "2", "temperature": "1", "charge": "-2", "mag_flux": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·q·Φ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ·q⁻²·Φ⁻²·c_n·R
m = k₀ · ℓ⁻⁵·Θ⁻¹·q²·Φ²·c_n⁻¹·R⁻¹
null
0
4
5
13
13
-4.5
false
{"mass": "1", "length": "5", "temperature": "1", "charge": "-2", "mag_flux": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·q·Φ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·Θ·q⁻³·Φ⁻³·R·z
Θ = k₀ · m⁻²·ℓ⁻⁴·q³·Φ³·R⁻¹·z⁻¹
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "length": "4", "temperature": "1", "charge": "-3", "mag_flux": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,gas_constant,length,mag_flux,mass,temperature
m·ℓ·Θ·q·Φ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·Θ·q⁻²·Φ⁻²·R·N_A⁻¹
m = k₀ · ℓ⁻²·Θ⁻¹·q²·Φ²·R⁻¹·N_A
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "temperature": "1", "charge": "-2", "mag_flux": "-2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,length,mag_flux,mass,temperature
m·ℓ·Θ·q·Φ·k_B
constants,em,mechanics,thermo
m·ℓ²·Θ·q⁻²·Φ⁻²·k_B
m = k₀ · ℓ⁻²·Θ⁻¹·q²·Φ²·k_B⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "temperature": "1", "charge": "-2", "mag_flux": "-2", "boltzmann": "1"}
7
charge,gas_constant,length,mass,molar_mass,permittivity,temperature
m·ℓ·Θ·q·ε·M_m·R
chemistry,em,mechanics,thermo
m·ℓ·Θ·q⁻²·ε·M_m⁻¹·R
m = k₀ · ℓ⁻¹·Θ⁻¹·q²·ε⁻¹·M_m·R⁻¹
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "1", "temperature": "1", "charge": "-2", "permittivity": "1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,charge,gas_constant,length,mass,permittivity,temperature
m·ℓ·Θ·q·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·Θ²·q⁻⁶·ε³·R²·z²
m = k₀ · ℓ⁻⁵·Θ⁻²·q⁶·ε⁻³·R⁻²·z⁻²
null
0
4
6
21
19.1
-10.6
false
{"mass": "1", "length": "5", "temperature": "2", "charge": "-6", "permittivity": "3", "gas_constant": "2", "cat_activity": "2"}
7
amount,charge,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·q·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·Θ·q⁻⁴·σ²·n·R
m = k₀ · ℓ⁻⁴·Θ⁻¹·q⁴·σ⁻²·n⁻¹·R⁻¹
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "4", "temperature": "1", "charge": "-4", "conductivity": "2", "amount": "1", "gas_constant": "1"}
7
charge,conductivity,gas_constant,length,mass,molar_mass,temperature
m·ℓ·Θ·q·σ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁴·Θ·q⁻⁴·σ²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁻⁴·q⁴·σ⁻²·M_m·R⁻¹
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "length": "4", "temperature": "1", "charge": "-4", "conductivity": "2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·q·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁷·Θ·q⁻⁴·σ²·c_n·R
m = k₀ · ℓ⁻⁷·Θ⁻¹·q⁴·σ⁻²·c_n⁻¹·R⁻¹
null
0
4
7
17
16.8
-8.3
false
{"mass": "1", "length": "7", "temperature": "1", "charge": "-4", "conductivity": "2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·q·σ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁷·Θ·q⁻⁶·σ³·R·z
Θ = k₀ · m⁻²·ℓ⁻⁷·q⁶·σ⁻³·R⁻¹·z⁻¹
null
0
4
7
21
19.6
-11.1
false
{"mass": "2", "length": "7", "temperature": "1", "charge": "-6", "conductivity": "3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,conductivity,gas_constant,length,mass,temperature
m·ℓ·Θ·q·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ·q⁻⁴·σ²·R·N_A⁻¹
m = k₀ · ℓ⁻⁴·Θ⁻¹·q⁴·σ⁻²·R⁻¹·N_A
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "temperature": "1", "charge": "-4", "conductivity": "2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,conductivity,length,mass,temperature
m·ℓ·Θ·q·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁴·Θ·q⁻⁴·σ²·k_B
m = k₀ · ℓ⁻⁴·Θ⁻¹·q⁴·σ⁻²·k_B⁻¹
null
1
4
4
13
12.2
-3.7
false
{"mass": "1", "length": "4", "temperature": "1", "charge": "-4", "conductivity": "2", "boltzmann": "1"}
7
amount,charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·q·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·Θ·q⁻⁴·ρ_e⁻²·n·R
m = k₀ · ℓ⁻⁴·Θ⁻¹·q⁴·ρ_e²·n⁻¹·R⁻¹
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "4", "temperature": "1", "charge": "-4", "resistivity": "-2", "amount": "1", "gas_constant": "1"}
7
charge,gas_constant,length,mass,molar_mass,resistivity,temperature
m·ℓ·Θ·q·ρ_e·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁴·Θ·q⁻⁴·ρ_e⁻²·M_m⁻¹·R
Θ = k₀ · m⁻²·ℓ⁻⁴·q⁴·ρ_e²·M_m·R⁻¹
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "length": "4", "temperature": "1", "charge": "-4", "resistivity": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·q·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁷·Θ·q⁻⁴·ρ_e⁻²·c_n·R
m = k₀ · ℓ⁻⁷·Θ⁻¹·q⁴·ρ_e²·c_n⁻¹·R⁻¹
null
0
4
7
17
16.8
-8.3
false
{"mass": "1", "length": "7", "temperature": "1", "charge": "-4", "resistivity": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·q·ρ_e·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁷·Θ·q⁻⁶·ρ_e⁻³·R·z
Θ = k₀ · m⁻²·ℓ⁻⁷·q⁶·ρ_e³·R⁻¹·z⁻¹
null
0
4
7
21
19.6
-11.1
false
{"mass": "2", "length": "7", "temperature": "1", "charge": "-6", "resistivity": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,gas_constant,length,mass,resistivity,temperature
m·ℓ·Θ·q·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·Θ·q⁻⁴·ρ_e⁻²·R·N_A⁻¹
m = k₀ · ℓ⁻⁴·Θ⁻¹·q⁴·ρ_e²·R⁻¹·N_A
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "temperature": "1", "charge": "-4", "resistivity": "-2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,length,mass,resistivity,temperature
m·ℓ·Θ·q·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁴·Θ·q⁻⁴·ρ_e⁻²·k_B
m = k₀ · ℓ⁻⁴·Θ⁻¹·q⁴·ρ_e²·k_B⁻¹
null
1
4
4
13
12.2
-3.7
false
{"mass": "1", "length": "4", "temperature": "1", "charge": "-4", "resistivity": "-2", "boltzmann": "1"}
7
amount,current,gas_constant,length,mass,temperature,voltage
m·ℓ·Θ·i·U·n·R
chemistry,em,mechanics,thermo
m·ℓ²·Θ⁻³·i²·U²·n⁻³·R⁻³
m = k₀ · ℓ⁻²·Θ³·i⁻²·U⁻²·n³·R³
null
0
4
3
16
14.1
-5.6
false
{"mass": "1", "length": "2", "temperature": "-3", "current": "2", "voltage": "2", "amount": "-3", "gas_constant": "-3"}
7
current,gas_constant,length,mass,molar_mass,temperature,voltage
m·ℓ·Θ·i·U·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻²·Θ³·i⁻²·U⁻²·M_m⁻³·R³
m = k₀ · ℓ·Θ⁻³ᐟ²·i·U·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
3
17
14.8
-6.3
false
{"mass": "2", "length": "-2", "temperature": "3", "current": "-2", "voltage": "-2", "molar_mass": "-3", "gas_constant": "3"}