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
5
charge,current,length,mass,viscosity
m·ℓ·μ·q·i
em,mechanics
m·ℓ⁻¹·μ⁻¹·q⁻¹·i
m = k₀ · ℓ·μ·q·i⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "charge": "-1", "current": "1"}
5
charge,length,mass,viscosity,voltage
m·ℓ·μ·q·U
em,mechanics
m·ℓ⁻⁴·μ⁻²·q·U
m = k₀ · ℓ⁴·μ²·q⁻¹·U⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "viscosity": "-2", "charge": "1", "voltage": "1"}
5
capacitance,charge,length,mass,viscosity
m·ℓ·μ·q·C_e
em,mechanics
m·ℓ⁻⁴·μ⁻²·q²·C_e⁻¹
m = k₀ · ℓ⁴·μ²·q⁻²·C_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "viscosity": "-2", "charge": "2", "capacitance": "-1"}
5
charge,efield,length,mass,viscosity
m·ℓ·μ·q·E_f
em,mechanics
m·ℓ⁻³·μ⁻²·q·E_f
m = k₀ · ℓ³·μ²·q⁻¹·E_f⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "length": "-3", "viscosity": "-2", "charge": "1", "efield": "1"}
5
charge,length,mass,permittivity,viscosity
m·ℓ·μ·q·ε
em,mechanics
m·ℓ⁻⁵·μ⁻²·q²·ε⁻¹
m = k₀ · ℓ⁵·μ²·q⁻²·ε
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "length": "-5", "viscosity": "-2", "charge": "2", "permittivity": "-1"}
5
current,length,mass,viscosity,voltage
m·ℓ·μ·i·U
em,mechanics
m²·ℓ⁻⁵·μ⁻³·i·U
i = k₀ · m⁻²·ℓ⁵·μ³·U⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "2", "length": "-5", "viscosity": "-3", "current": "1", "voltage": "1"}
5
current,length,mass,resistance,viscosity
m·ℓ·μ·i·R
em,mechanics
m²·ℓ⁻⁵·μ⁻³·i²·R
R = k₀ · m⁻²·ℓ⁵·μ³·i⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "length": "-5", "viscosity": "-3", "current": "2", "resistance": "1"}
5
capacitance,current,length,mass,viscosity
m·ℓ·μ·i·C_e
em,mechanics
m³·ℓ⁻⁶·μ⁻⁴·i²·C_e⁻¹
C_e = k₀ · m³·ℓ⁻⁶·μ⁻⁴·i²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "length": "-6", "viscosity": "-4", "current": "2", "capacitance": "-1"}
5
current,inductance,length,mass,viscosity
m·ℓ·μ·i·L_e
em,mechanics
m·ℓ⁻⁴·μ⁻²·i²·L_e
m = k₀ · ℓ⁴·μ²·i⁻²·L_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "viscosity": "-2", "current": "2", "inductance": "1"}
5
current,efield,length,mass,viscosity
m·ℓ·μ·i·E_f
em,mechanics
m²·ℓ⁻⁴·μ⁻³·i·E_f
i = k₀ · m⁻²·ℓ⁴·μ³·E_f⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "length": "-4", "viscosity": "-3", "current": "1", "efield": "1"}
5
bfield,current,length,mass,viscosity
m·ℓ·μ·i·B
em,mechanics
m·ℓ⁻²·μ⁻²·i·B
m = k₀ · ℓ²·μ²·i⁻¹·B⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-2", "viscosity": "-2", "current": "1", "bfield": "1"}
5
current,length,mag_flux,mass,viscosity
m·ℓ·μ·i·Φ
em,mechanics
m·ℓ⁻⁴·μ⁻²·i·Φ
m = k₀ · ℓ⁴·μ²·i⁻¹·Φ⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "viscosity": "-2", "current": "1", "mag_flux": "1"}
5
current,length,mass,permittivity,viscosity
m·ℓ·μ·i·ε
em,mechanics
m³·ℓ⁻⁷·μ⁻⁴·i²·ε⁻¹
ε = k₀ · m³·ℓ⁻⁷·μ⁻⁴·i²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "length": "-7", "viscosity": "-4", "current": "2", "permittivity": "-1"}
5
current,length,mass,permeability,viscosity
m·ℓ·μ·i·μ₀
em,mechanics
m·ℓ⁻³·μ⁻²·i²·μ₀
m = k₀ · ℓ³·μ²·i⁻²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-3", "viscosity": "-2", "current": "2", "permeability": "1"}
5
conductivity,current,length,mass,viscosity
m·ℓ·μ·i·σ
em,mechanics
m²·ℓ⁻⁶·μ⁻³·i²·σ⁻¹
σ = k₀ · m²·ℓ⁻⁶·μ⁻³·i²
null
0
2
6
14
12.4
-2.9
false
{"mass": "2", "length": "-6", "viscosity": "-3", "current": "2", "conductivity": "-1"}
5
current,length,mass,resistivity,viscosity
m·ℓ·μ·i·ρ_e
em,mechanics
m²·ℓ⁻⁶·μ⁻³·i²·ρ_e
ρ_e = k₀ · m⁻²·ℓ⁶·μ³·i⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "2", "length": "-6", "viscosity": "-3", "current": "2", "resistivity": "1"}
5
current,elem_charge,length,mass,viscosity
m·ℓ·μ·i·e
constants,em,mechanics
m·ℓ⁻¹·μ⁻¹·i·e⁻¹
m = k₀ · ℓ·μ·i⁻¹·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "length": "-1", "viscosity": "-1", "current": "1", "elem_charge": "-1"}
5
length,mass,resistance,viscosity,voltage
m·ℓ·μ·U·R
em,mechanics
m²·ℓ⁻⁵·μ⁻³·U²·R⁻¹
R = k₀ · m²·ℓ⁻⁵·μ⁻³·U²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "length": "-5", "viscosity": "-3", "voltage": "2", "resistance": "-1"}
5
capacitance,length,mass,viscosity,voltage
m·ℓ·μ·U·C_e
em,mechanics
m·ℓ⁻⁴·μ⁻²·U²·C_e
m = k₀ · ℓ⁴·μ²·U⁻²·C_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "viscosity": "-2", "voltage": "2", "capacitance": "1"}
5
inductance,length,mass,viscosity,voltage
m·ℓ·μ·U·L_e
em,mechanics
m³·ℓ⁻⁶·μ⁻⁴·U²·L_e⁻¹
L_e = k₀ · m³·ℓ⁻⁶·μ⁻⁴·U²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "length": "-6", "viscosity": "-4", "voltage": "2", "inductance": "-1"}
5
bfield,length,mass,viscosity,voltage
m·ℓ·μ·U·B
em,mechanics
m·ℓ⁻³·μ⁻¹·U·B⁻¹
m = k₀ · ℓ³·μ·U⁻¹·B
null
0
2
3
7
6
3.5
true
{"mass": "1", "length": "-3", "viscosity": "-1", "voltage": "1", "bfield": "-1"}
5
length,mag_flux,mass,viscosity,voltage
m·ℓ·μ·U·Φ
em,mechanics
m·ℓ⁻¹·μ⁻¹·U·Φ⁻¹
m = k₀ · ℓ·μ·U⁻¹·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "voltage": "1", "mag_flux": "-1"}
5
length,mass,permittivity,viscosity,voltage
m·ℓ·μ·U·ε
em,mechanics
m·ℓ⁻³·μ⁻²·U²·ε
m = k₀ · ℓ³·μ²·U⁻²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-3", "viscosity": "-2", "voltage": "2", "permittivity": "1"}
5
length,mass,permeability,viscosity,voltage
m·ℓ·μ·U·μ₀
em,mechanics
m³·ℓ⁻⁷·μ⁻⁴·U²·μ₀⁻¹
μ₀ = k₀ · m³·ℓ⁻⁷·μ⁻⁴·U²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "length": "-7", "viscosity": "-4", "voltage": "2", "permeability": "-1"}
5
conductivity,length,mass,viscosity,voltage
m·ℓ·μ·U·σ
em,mechanics
m²·ℓ⁻⁴·μ⁻³·U²·σ
σ = k₀ · m⁻²·ℓ⁴·μ³·U⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "length": "-4", "viscosity": "-3", "voltage": "2", "conductivity": "1"}
5
length,mass,resistivity,viscosity,voltage
m·ℓ·μ·U·ρ_e
em,mechanics
m²·ℓ⁻⁴·μ⁻³·U²·ρ_e⁻¹
ρ_e = k₀ · m²·ℓ⁻⁴·μ⁻³·U²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "length": "-4", "viscosity": "-3", "voltage": "2", "resistivity": "-1"}
5
elem_charge,length,mass,viscosity,voltage
m·ℓ·μ·U·e
constants,em,mechanics
m·ℓ⁻⁴·μ⁻²·U·e
m = k₀ · ℓ⁴·μ²·U⁻¹·e⁻¹
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "-4", "viscosity": "-2", "voltage": "1", "elem_charge": "1"}
5
capacitance,length,mass,resistance,viscosity
m·ℓ·μ·R·C_e
em,mechanics
m·ℓ⁻¹·μ⁻¹·R⁻¹·C_e⁻¹
m = k₀ · ℓ·μ·R·C_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "resistance": "-1", "capacitance": "-1"}
5
inductance,length,mass,resistance,viscosity
m·ℓ·μ·R·L_e
em,mechanics
m·ℓ⁻¹·μ⁻¹·R·L_e⁻¹
m = k₀ · ℓ·μ·R⁻¹·L_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "resistance": "1", "inductance": "-1"}
5
efield,length,mass,resistance,viscosity
m·ℓ·μ·R·E_f
em,mechanics
m²·ℓ⁻³·μ⁻³·R⁻¹·E_f²
R = k₀ · m²·ℓ⁻³·μ⁻³·E_f²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "length": "-3", "viscosity": "-3", "resistance": "-1", "efield": "2"}
5
length,mass,permittivity,resistance,viscosity
m·ℓ·μ·R·ε
em,mechanics
m·ℓ⁻²·μ⁻¹·R⁻¹·ε⁻¹
m = k₀ · ℓ²·μ·R·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "viscosity": "-1", "resistance": "-1", "permittivity": "-1"}
5
length,mass,permeability,resistance,viscosity
m·ℓ·μ·R·μ₀
em,mechanics
m·ℓ⁻²·μ⁻¹·R·μ₀⁻¹
m = k₀ · ℓ²·μ·R⁻¹·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "viscosity": "-1", "resistance": "1", "permeability": "-1"}
5
capacitance,inductance,length,mass,viscosity
m·ℓ·μ·C_e·L_e
em,mechanics
m²·ℓ⁻²·μ⁻²·C_e⁻¹·L_e⁻¹
C_e = k₀ · m²·ℓ⁻²·μ⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "length": "-2", "viscosity": "-2", "capacitance": "-1", "inductance": "-1"}
5
capacitance,efield,length,mass,viscosity
m·ℓ·μ·C_e·E_f
em,mechanics
m·ℓ⁻²·μ⁻²·C_e·E_f²
m = k₀ · ℓ²·μ²·C_e⁻¹·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "viscosity": "-2", "capacitance": "1", "efield": "2"}
5
capacitance,length,mass,permeability,viscosity
m·ℓ·μ·C_e·μ₀
em,mechanics
m²·ℓ⁻³·μ⁻²·C_e⁻¹·μ₀⁻¹
C_e = k₀ · m²·ℓ⁻³·μ⁻²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "length": "-3", "viscosity": "-2", "capacitance": "-1", "permeability": "-1"}
5
capacitance,elem_charge,length,mass,viscosity
m·ℓ·μ·C_e·e
constants,em,mechanics
m·ℓ⁻⁴·μ⁻²·C_e⁻¹·e²
m = k₀ · ℓ⁴·μ²·C_e·e⁻²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "length": "-4", "viscosity": "-2", "capacitance": "-1", "elem_charge": "2"}
5
efield,inductance,length,mass,viscosity
m·ℓ·μ·L_e·E_f
em,mechanics
m³·ℓ⁻⁴·μ⁻⁴·L_e⁻¹·E_f²
L_e = k₀ · m³·ℓ⁻⁴·μ⁻⁴·E_f²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "length": "-4", "viscosity": "-4", "inductance": "-1", "efield": "2"}
5
inductance,length,mag_flux,mass,viscosity
m·ℓ·μ·L_e·Φ
em,mechanics
m·ℓ⁻⁴·μ⁻²·L_e⁻¹·Φ²
m = k₀ · ℓ⁴·μ²·L_e·Φ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "viscosity": "-2", "inductance": "-1", "mag_flux": "2"}
5
inductance,length,mass,permittivity,viscosity
m·ℓ·μ·L_e·ε
em,mechanics
m²·ℓ⁻³·μ⁻²·L_e⁻¹·ε⁻¹
L_e = k₀ · m²·ℓ⁻³·μ⁻²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "length": "-3", "viscosity": "-2", "inductance": "-1", "permittivity": "-1"}
5
conductivity,inductance,length,mass,viscosity
m·ℓ·μ·L_e·σ
em,mechanics
m·ℓ⁻²·μ⁻¹·L_e⁻¹·σ⁻¹
m = k₀ · ℓ²·μ·L_e·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "viscosity": "-1", "inductance": "-1", "conductivity": "-1"}
5
inductance,length,mass,resistivity,viscosity
m·ℓ·μ·L_e·ρ_e
em,mechanics
m·ℓ⁻²·μ⁻¹·L_e⁻¹·ρ_e
m = k₀ · ℓ²·μ·L_e·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "viscosity": "-1", "inductance": "-1", "resistivity": "1"}
5
bfield,efield,length,mass,viscosity
m·ℓ·μ·E_f·B
em,mechanics
m·ℓ⁻²·μ⁻¹·E_f·B⁻¹
m = k₀ · ℓ²·μ·E_f⁻¹·B
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "viscosity": "-1", "efield": "1", "bfield": "-1"}
5
efield,length,mass,permittivity,viscosity
m·ℓ·μ·E_f·ε
em,mechanics
m·ℓ⁻¹·μ⁻²·E_f²·ε
m = k₀ · ℓ·μ²·E_f⁻²·ε⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-1", "viscosity": "-2", "efield": "2", "permittivity": "1"}
5
efield,length,mass,permeability,viscosity
m·ℓ·μ·E_f·μ₀
em,mechanics
m³·ℓ⁻⁵·μ⁻⁴·E_f²·μ₀⁻¹
μ₀ = k₀ · m³·ℓ⁻⁵·μ⁻⁴·E_f²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "length": "-5", "viscosity": "-4", "efield": "2", "permeability": "-1"}
5
conductivity,efield,length,mass,viscosity
m·ℓ·μ·E_f·σ
em,mechanics
m²·ℓ⁻²·μ⁻³·E_f²·σ
σ = k₀ · m⁻²·ℓ²·μ³·E_f⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "length": "-2", "viscosity": "-3", "efield": "2", "conductivity": "1"}
5
efield,length,mass,resistivity,viscosity
m·ℓ·μ·E_f·ρ_e
em,mechanics
m²·ℓ⁻²·μ⁻³·E_f²·ρ_e⁻¹
ρ_e = k₀ · m²·ℓ⁻²·μ⁻³·E_f²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "length": "-2", "viscosity": "-3", "efield": "2", "resistivity": "-1"}
5
efield,elem_charge,length,mass,viscosity
m·ℓ·μ·E_f·e
constants,em,mechanics
m·ℓ⁻³·μ⁻²·E_f·e
m = k₀ · ℓ³·μ²·E_f⁻¹·e⁻¹
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "length": "-3", "viscosity": "-2", "efield": "1", "elem_charge": "1"}
5
bfield,length,mass,permeability,viscosity
m·ℓ·μ·B·μ₀
em,mechanics
m·ℓ⁻¹·μ⁻²·B²·μ₀⁻¹
m = k₀ · ℓ·μ²·B⁻²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-1", "viscosity": "-2", "bfield": "2", "permeability": "-1"}
5
length,mag_flux,mass,permeability,viscosity
m·ℓ·μ·Φ·μ₀
em,mechanics
m·ℓ⁻⁵·μ⁻²·Φ²·μ₀⁻¹
m = k₀ · ℓ⁵·μ²·Φ⁻²·μ₀
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "length": "-5", "viscosity": "-2", "mag_flux": "2", "permeability": "-1"}
5
length,mass,permeability,permittivity,viscosity
m·ℓ·μ·ε·μ₀
em,mechanics
m²·ℓ⁻⁴·μ⁻²·ε⁻¹·μ₀⁻¹
ε = k₀ · m²·ℓ⁻⁴·μ⁻²·μ₀⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "length": "-4", "viscosity": "-2", "permittivity": "-1", "permeability": "-1"}
5
conductivity,length,mass,permittivity,viscosity
m·ℓ·μ·ε·σ
em,mechanics
m·ℓ⁻¹·μ⁻¹·ε⁻¹·σ
m = k₀ · ℓ·μ·ε·σ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "permittivity": "-1", "conductivity": "1"}
5
length,mass,permittivity,resistivity,viscosity
m·ℓ·μ·ε·ρ_e
em,mechanics
m·ℓ⁻¹·μ⁻¹·ε⁻¹·ρ_e⁻¹
m = k₀ · ℓ·μ·ε·ρ_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "permittivity": "-1", "resistivity": "-1"}
5
elem_charge,length,mass,permittivity,viscosity
m·ℓ·μ·ε·e
constants,em,mechanics
m·ℓ⁻⁵·μ⁻²·ε⁻¹·e²
m = k₀ · ℓ⁵·μ²·ε·e⁻²
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "length": "-5", "viscosity": "-2", "permittivity": "-1", "elem_charge": "2"}
5
conductivity,length,mass,permeability,viscosity
m·ℓ·μ·μ₀·σ
em,mechanics
m·ℓ⁻³·μ⁻¹·μ₀⁻¹·σ⁻¹
m = k₀ · ℓ³·μ·μ₀·σ
null
0
2
3
7
6
3.5
true
{"mass": "1", "length": "-3", "viscosity": "-1", "permeability": "-1", "conductivity": "-1"}
5
length,mass,permeability,resistivity,viscosity
m·ℓ·μ·μ₀·ρ_e
em,mechanics
m·ℓ⁻³·μ⁻¹·μ₀⁻¹·ρ_e
m = k₀ · ℓ³·μ·μ₀·ρ_e⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "length": "-3", "viscosity": "-1", "permeability": "-1", "resistivity": "1"}
5
amount,length,mass,molar_energy,viscosity
m·ℓ·μ·n·E_m
chemistry,mechanics
m·ℓ⁻⁴·μ⁻²·n·E_m
m = k₀ · ℓ⁴·μ²·n⁻¹·E_m⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "viscosity": "-2", "amount": "1", "molar_energy": "1"}
5
amount,cat_activity,length,mass,viscosity
m·ℓ·μ·n·z
chemistry,mechanics
m·ℓ⁻¹·μ⁻¹·n⁻¹·z
m = k₀ · ℓ·μ·n·z⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "viscosity": "-1", "amount": "-1", "cat_activity": "1"}
5
length,mass,molar_energy,molar_mass,viscosity
m·ℓ·μ·M_m·E_m
chemistry,mechanics
m²·ℓ⁻⁴·μ⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·ℓ⁻⁴·μ⁻²·E_m
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "length": "-4", "viscosity": "-2", "molar_mass": "-1", "molar_energy": "1"}
5
concentration,length,mass,molar_energy,viscosity
m·ℓ·μ·c_n·E_m
chemistry,mechanics
m·ℓ⁻¹·μ⁻²·c_n·E_m
m = k₀ · ℓ·μ²·c_n⁻¹·E_m⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-1", "viscosity": "-2", "concentration": "1", "molar_energy": "1"}
5
cat_activity,concentration,length,mass,viscosity
m·ℓ·μ·c_n·z
chemistry,mechanics
m·ℓ⁻⁴·μ⁻¹·c_n⁻¹·z
m = k₀ · ℓ⁴·μ·c_n·z⁻¹
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "length": "-4", "viscosity": "-1", "concentration": "-1", "cat_activity": "1"}
6
boltzmann,gas_constant,length,mass,molar_energy,viscosity
m·ℓ·μ·E_m·R·k_B
chemistry,constants,mechanics
m·ℓ⁻⁴·μ⁻²·E_m·R⁻¹·k_B
m = k₀ · ℓ⁴·μ²·E_m⁻¹·R·k_B⁻¹
null
1
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "-4", "viscosity": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
5
cat_activity,length,mass,molar_energy,viscosity
m·ℓ·μ·E_m·z
chemistry,mechanics
m²·ℓ⁻⁵·μ⁻³·E_m·z
E_m = k₀ · m⁻²·ℓ⁵·μ³·z⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "2", "length": "-5", "viscosity": "-3", "molar_energy": "1", "cat_activity": "1"}
5
avogadro,length,mass,molar_energy,viscosity
m·ℓ·μ·E_m·N_A
chemistry,constants,mechanics
m·ℓ⁻⁴·μ⁻²·E_m·N_A⁻¹
m = k₀ · ℓ⁴·μ²·E_m⁻¹·N_A
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "-4", "viscosity": "-2", "molar_energy": "1", "avogadro": "-1"}
6
boltzmann,cat_activity,gas_constant,length,mass,viscosity
m·ℓ·μ·R·z·k_B
chemistry,constants,mechanics
m·ℓ⁻¹·μ⁻¹·R·z·k_B⁻¹
m = k₀ · ℓ·μ·R⁻¹·z⁻¹·k_B
null
1
3
1
6
5.2
3.8
false
{"mass": "1", "length": "-1", "viscosity": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
5
avogadro,cat_activity,length,mass,viscosity
m·ℓ·μ·z·N_A
chemistry,constants,mechanics
m·ℓ⁻¹·μ⁻¹·z·N_A
m = k₀ · ℓ·μ·z⁻¹·N_A⁻¹
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "length": "-1", "viscosity": "-1", "cat_activity": "1", "avogadro": "1"}
4
length,light_speed,mass,viscosity
m·ℓ·μ·c₀
constants,mechanics
m·ℓ⁻²·μ⁻¹·c₀
m = k₀ · ℓ²·μ·c₀⁻¹
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "length": "-2", "viscosity": "-1", "light_speed": "1"}
4
grav_const,length,mass,viscosity
m·ℓ·μ·G
constants,mechanics
m³·ℓ⁻⁵·μ⁻²·G
G = k₀ · m⁻³·ℓ⁵·μ²
null
1
2
5
11
9.5
0
false
{"mass": "3", "length": "-5", "viscosity": "-2", "grav_const": "1"}
4
kin_viscosity,length,mass,stiffness
m·ℓ·ν·k
mechanics
m·ℓ⁻⁴·ν²·k⁻¹
m = k₀ · ℓ⁴·ν⁻²·k
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "length": "-4", "kin_viscosity": "2", "stiffness": "-1"}
4
kin_viscosity,length,mass,surf_tension
m·ℓ·ν·γ
mechanics
m·ℓ⁻⁴·ν²·γ⁻¹
m = k₀ · ℓ⁴·ν⁻²·γ
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "length": "-4", "kin_viscosity": "2", "surf_tension": "-1"}
5
entropy,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·S_e
mechanics,thermo
m·ℓ⁻²·ν²·Θ⁻¹·S_e⁻¹
m = k₀ · ℓ²·ν⁻²·Θ·S_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-2", "kin_viscosity": "2", "temperature": "-1", "entropy": "-1"}
5
heat_capacity,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·C
mechanics,thermo
m·ℓ⁻²·ν²·Θ⁻¹·C⁻¹
m = k₀ · ℓ²·ν⁻²·Θ·C
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-2", "kin_viscosity": "2", "temperature": "-1", "heat_capacity": "-1"}
5
kin_viscosity,length,mass,temperature,thermal_cond
m·ℓ·ν·Θ·κ
mechanics,thermo
m·ℓ⁻⁵·ν³·Θ⁻¹·κ⁻¹
m = k₀ · ℓ⁵·ν⁻³·Θ·κ
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "length": "-5", "kin_viscosity": "3", "temperature": "-1", "thermal_cond": "-1"}
6
amount,gas_constant,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·n·R
chemistry,mechanics,thermo
m·ℓ⁻²·ν²·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ²·ν⁻²·Θ·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
concentration,gas_constant,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁵·ν²·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁵·ν⁻²·Θ·c_n·R
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "length": "-5", "kin_viscosity": "2", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·R·z
chemistry,mechanics,thermo
m·ℓ⁻⁴·ν³·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · ℓ⁴·ν⁻³·Θ·R·z
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "length": "-4", "kin_viscosity": "3", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁻²·ν²·Θ⁻¹·R⁻¹·N_A
m = k₀ · ℓ²·ν⁻²·Θ·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,kin_viscosity,length,mass,temperature
m·ℓ·ν·Θ·k_B
constants,mechanics,thermo
m·ℓ⁻²·ν²·Θ⁻¹·k_B⁻¹
m = k₀ · ℓ²·ν⁻²·Θ·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "temperature": "-1", "boltzmann": "-1"}
5
entropy,expansion,kin_viscosity,length,mass
m·ℓ·ν·S_e·β
mechanics,thermo
m·ℓ⁻²·ν²·S_e⁻¹·β
m = k₀ · ℓ²·ν⁻²·S_e·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-2", "kin_viscosity": "2", "entropy": "-1", "expansion": "1"}
6
entropy,gas_constant,kin_viscosity,length,mass,molar_energy
m·ℓ·ν·S_e·E_m·R
chemistry,mechanics,thermo
m·ℓ⁻²·ν²·S_e⁻¹·E_m⁻¹·R
m = k₀ · ℓ²·ν⁻²·S_e·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,heat_capacity,kin_viscosity,length,mass
m·ℓ·ν·C·β
mechanics,thermo
m·ℓ⁻²·ν²·C⁻¹·β
m = k₀ · ℓ²·ν⁻²·C·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-2", "kin_viscosity": "2", "heat_capacity": "-1", "expansion": "1"}
6
gas_constant,heat_capacity,kin_viscosity,length,mass,molar_energy
m·ℓ·ν·C·E_m·R
chemistry,mechanics,thermo
m·ℓ⁻²·ν²·C⁻¹·E_m⁻¹·R
m = k₀ · ℓ²·ν⁻²·C·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
kin_viscosity,length,mass,specific_heat,thermal_cond
m·ℓ·ν·c·κ
mechanics,thermo
m·ℓ⁻³·ν·c·κ⁻¹
m = k₀ · ℓ³·ν⁻¹·c⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "length": "-3", "kin_viscosity": "1", "specific_heat": "1", "thermal_cond": "-1"}
6
cat_activity,gas_constant,kin_viscosity,length,mass,specific_heat
m·ℓ·ν·c·R·z
chemistry,mechanics,thermo
m·ℓ⁻²·ν·c·R⁻¹·z⁻¹
m = k₀ · ℓ²·ν⁻¹·c⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "length": "-2", "kin_viscosity": "1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
expansion,kin_viscosity,length,mass,thermal_cond
m·ℓ·ν·κ·β
mechanics,thermo
m·ℓ⁻⁵·ν³·κ⁻¹·β
m = k₀ · ℓ⁵·ν⁻³·κ·β⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "length": "-5", "kin_viscosity": "3", "thermal_cond": "-1", "expansion": "1"}
6
gas_constant,kin_viscosity,length,mass,molar_mass,thermal_cond
m·ℓ·ν·κ·M_m·R
chemistry,mechanics,thermo
m·ℓ⁻³·ν·κ⁻¹·M_m⁻¹·R
m = k₀ · ℓ³·ν⁻¹·κ·M_m·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "length": "-3", "kin_viscosity": "1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
gas_constant,kin_viscosity,length,mass,molar_energy,thermal_cond
m·ℓ·ν·κ·E_m·R
chemistry,mechanics,thermo
m·ℓ⁻⁵·ν³·κ⁻¹·E_m⁻¹·R
m = k₀ · ℓ⁵·ν⁻³·κ·E_m·R⁻¹
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "length": "-5", "kin_viscosity": "3", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
amount,expansion,gas_constant,kin_viscosity,length,mass
m·ℓ·ν·β·n·R
chemistry,mechanics,thermo
m·ℓ⁻²·ν²·β·n⁻¹·R⁻¹
m = k₀ · ℓ²·ν⁻²·β⁻¹·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,expansion,gas_constant,kin_viscosity,length,mass
m·ℓ·ν·β·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁵·ν²·β·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁵·ν⁻²·β⁻¹·c_n·R
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "length": "-5", "kin_viscosity": "2", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,kin_viscosity,length,mass
m·ℓ·ν·β·R·z
chemistry,mechanics,thermo
m·ℓ⁻⁴·ν³·β·R⁻¹·z⁻¹
m = k₀ · ℓ⁴·ν⁻³·β⁻¹·R·z
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "length": "-4", "kin_viscosity": "3", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,expansion,gas_constant,kin_viscosity,length,mass
m·ℓ·ν·β·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁻²·ν²·β·R⁻¹·N_A
m = k₀ · ℓ²·ν⁻²·β⁻¹·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,expansion,kin_viscosity,length,mass
m·ℓ·ν·β·k_B
constants,mechanics,thermo
m·ℓ⁻²·ν²·β·k_B⁻¹
m = k₀ · ℓ²·ν⁻²·β⁻¹·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "length": "-2", "kin_viscosity": "2", "expansion": "1", "boltzmann": "-1"}
5
charge,kin_viscosity,length,mass,voltage
m·ℓ·ν·q·U
em,mechanics
m·ℓ⁻²·ν²·q⁻¹·U⁻¹
m = k₀ · ℓ²·ν⁻²·q·U
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-2", "kin_viscosity": "2", "charge": "-1", "voltage": "-1"}
5
capacitance,charge,kin_viscosity,length,mass
m·ℓ·ν·q·C_e
em,mechanics
m·ℓ⁻²·ν²·q⁻²·C_e
m = k₀ · ℓ²·ν⁻²·q²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "kin_viscosity": "2", "charge": "-2", "capacitance": "1"}
5
charge,efield,kin_viscosity,length,mass
m·ℓ·ν·q·E_f
em,mechanics
m·ℓ⁻³·ν²·q⁻¹·E_f⁻¹
m = k₀ · ℓ³·ν⁻²·q·E_f
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "length": "-3", "kin_viscosity": "2", "charge": "-1", "efield": "-1"}
5
bfield,charge,kin_viscosity,length,mass
m·ℓ·ν·q·B
em,mechanics
m·ℓ⁻²·ν·q⁻¹·B⁻¹
m = k₀ · ℓ²·ν⁻¹·q·B
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "kin_viscosity": "1", "charge": "-1", "bfield": "-1"}
5
charge,kin_viscosity,length,mass,permittivity
m·ℓ·ν·q·ε
em,mechanics
m·ℓ⁻¹·ν²·q⁻²·ε
m = k₀ · ℓ·ν⁻²·q²·ε⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-1", "kin_viscosity": "2", "charge": "-2", "permittivity": "1"}
5
charge,conductivity,kin_viscosity,length,mass
m·ℓ·ν·q·σ
em,mechanics
m·ℓ·ν·q⁻²·σ
m = k₀ · ℓ⁻¹·ν⁻¹·q²·σ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "1", "kin_viscosity": "1", "charge": "-2", "conductivity": "1"}
5
charge,kin_viscosity,length,mass,resistivity
m·ℓ·ν·q·ρ_e
em,mechanics
m·ℓ·ν·q⁻²·ρ_e⁻¹
m = k₀ · ℓ⁻¹·ν⁻¹·q²·ρ_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "1", "kin_viscosity": "1", "charge": "-2", "resistivity": "-1"}
5
current,kin_viscosity,length,mass,voltage
m·ℓ·ν·i·U
em,mechanics
m·ℓ⁻⁴·ν³·i⁻¹·U⁻¹
m = k₀ · ℓ⁴·ν⁻³·i·U
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "kin_viscosity": "3", "current": "-1", "voltage": "-1"}
5
current,kin_viscosity,length,mass,resistance
m·ℓ·ν·i·R
em,mechanics
m·ℓ⁻⁴·ν³·i⁻²·R⁻¹
m = k₀ · ℓ⁴·ν⁻³·i²·R
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "length": "-4", "kin_viscosity": "3", "current": "-2", "resistance": "-1"}