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int64
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106
symbols
stringlengths
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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
concentration,elem_charge,gas_constant,heat_capacity,mass,resistivity,time
m·t·C·ρ_e·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·t⁻¹·C·ρ_e⁻¹·c_n⁻¹·R⁻¹·e⁻²
m = k₀ · t·C⁻¹·ρ_e·c_n·R·e²
null
1
5
2
8
8.6
-0.6
false
{"mass": "1", "time": "-1", "heat_capacity": "1", "resistivity": "-1", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-2"}
7
elem_charge,gas_constant,heat_capacity,mass,molar_energy,resistivity,time
m·t·C·ρ_e·E_m·R·e
chemistry,constants,em,mechanics,thermo
m·t⁻⁴·C⁻³·ρ_e²·E_m⁻³·R³·e⁴
m = k₀ · t⁴·C³·ρ_e⁻²·E_m³·R⁻³·e⁻⁴
null
1
5
4
20
18
-10
false
{"mass": "1", "time": "-4", "heat_capacity": "-3", "resistivity": "2", "molar_energy": "-3", "gas_constant": "3", "elem_charge": "4"}
6
concentration,gas_constant,heat_capacity,mass,molar_energy,time
m·t·C·c_n·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁶·C⁻¹·c_n⁻²·E_m⁻³·R
C = k₀ · m³·t⁻⁶·c_n⁻²·E_m⁻³·R
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "heat_capacity": "-1", "concentration": "-2", "molar_energy": "-3", "gas_constant": "1"}
6
concentration,gas_constant,grav_const,heat_capacity,mass,time
m·t·C·c_n·R·G
chemistry,constants,mechanics,thermo
m·t²·C⁻¹·c_n·R·G
m = k₀ · t⁻²·C·c_n⁻¹·R⁻¹·G⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "2", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1", "grav_const": "1"}
6
concentration,gas_constant,heat_capacity,mass,planck,time
m·t·C·c_n·R·h
chemistry,constants,mechanics,thermo
m³·t⁻³·C²·c_n⁻²·R⁻²·h⁻³
C = k₀ · m⁻³ᐟ²·t³ᐟ²·c_n·R·h³ᐟ²
null
1
4
3
15
13.1
-4.6
false
{"mass": "3", "time": "-3", "heat_capacity": "2", "concentration": "-2", "gas_constant": "-2", "planck": "-3"}
7
gas_constant,heat_capacity,illuminance,lum_intensity,mass,molar_energy,time
m·t·C·E_m·R·I_v·E_v
chemistry,mechanics,photometry,thermo
m·t⁻²·C⁻¹·E_m⁻¹·R·I_v·E_v⁻¹
m = k₀ · t²·C·E_m·R⁻¹·I_v⁻¹·E_v
null
0
4
2
8
8
0.5
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1", "lum_intensity": "1", "illuminance": "-1"}
7
gas_constant,heat_capacity,lum_intensity,luminance,mass,molar_energy,time
m·t·C·E_m·R·I_v·L_v
chemistry,mechanics,photometry,thermo
m·t⁻²·C⁻¹·E_m⁻¹·R·I_v·L_v⁻¹
m = k₀ · t²·C·E_m·R⁻¹·I_v⁻¹·L_v
null
0
4
2
8
8
0.5
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1", "lum_intensity": "1", "luminance": "-1"}
6
gas_constant,grav_const,heat_capacity,mass,molar_energy,time
m·t·C·E_m·R·G
chemistry,constants,mechanics,thermo
m⁵·t⁻²·C⁻³·E_m⁻³·R³·G²
t = k₀ · m⁵ᐟ²·C⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²·G
null
1
4
5
18
16.2
-7.7
false
{"mass": "5", "time": "-2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3", "grav_const": "2"}
5
mass,specific_heat,thermal_cond,thermal_diff,time
m·t·c·κ·α
mechanics,thermo
m²·t⁻³·c²·κ⁻²·α⁻¹
α = k₀ · m²·t⁻³·c²·κ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "thermal_diff": "-1"}
5
expansion,mass,specific_heat,thermal_cond,time
m·t·c·κ·β
mechanics,thermo
m²·t⁻⁴·c·κ⁻²·β
c = k₀ · m⁻²·t⁴·κ²·β⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "specific_heat": "1", "thermal_cond": "-2", "expansion": "1"}
6
charge,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·q·U
em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·q⁻¹·U⁻¹
q = k₀ · m³·t⁻⁴·c²·κ⁻²·U⁻¹
null
0
3
4
13
11.6
-2.6
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "charge": "-1", "voltage": "-1"}
6
charge,mass,resistance,specific_heat,thermal_cond,time
m·t·c·κ·q·R
em,mechanics,thermo
m³·t⁻³·c²·κ⁻²·q⁻²·R⁻¹
R = k₀ · m³·t⁻³·c²·κ⁻²·q⁻²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "charge": "-2", "resistance": "-1"}
6
capacitance,charge,mass,specific_heat,thermal_cond,time
m·t·c·κ·q·C_e
em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·q⁻²·C_e
C_e = k₀ · m⁻³·t⁴·c⁻²·κ²·q²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "charge": "-2", "capacitance": "1"}
6
charge,inductance,mass,specific_heat,thermal_cond,time
m·t·c·κ·q·L_e
em,mechanics,thermo
m³·t⁻²·c²·κ⁻²·q⁻²·L_e⁻¹
L_e = k₀ · m³·t⁻²·c²·κ⁻²·q⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "charge": "-2", "inductance": "-1"}
6
charge,efield,mass,specific_heat,thermal_cond,time
m·t·c·κ·q·E_f
em,mechanics,thermo
m²·t⁻³·c·κ⁻¹·q⁻¹·E_f⁻¹
c = k₀ · m⁻²·t³·κ·q·E_f
null
0
3
3
9
8.3
0.7
false
{"mass": "2", "time": "-3", "specific_heat": "1", "thermal_cond": "-1", "charge": "-1", "efield": "-1"}
6
charge,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·q·Φ
em,mechanics,thermo
m³·t⁻³·c²·κ⁻²·q⁻¹·Φ⁻¹
q = k₀ · m³·t⁻³·c²·κ⁻²·Φ⁻¹
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "charge": "-1", "mag_flux": "-1"}
6
charge,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·q·ε
em,mechanics,thermo
m⁴·t⁻⁵·c³·κ⁻³·q⁻²·ε
ε = k₀ · m⁻⁴·t⁵·c⁻³·κ³·q²
null
0
3
5
18
15.6
-6.6
false
{"mass": "4", "time": "-5", "specific_heat": "3", "thermal_cond": "-3", "charge": "-2", "permittivity": "1"}
6
charge,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·q·μ₀
em,mechanics,thermo
m²·t⁻¹·c·κ⁻¹·q⁻²·μ₀⁻¹
t = k₀ · m²·c·κ⁻¹·q⁻²·μ₀⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "charge": "-2", "permeability": "-1"}
6
charge,conductivity,mass,specific_heat,thermal_cond,time
m·t·c·κ·q·σ
em,mechanics,thermo
m⁴·t⁻⁴·c³·κ⁻³·q⁻²·σ
σ = k₀ · m⁻⁴·t⁴·c⁻³·κ³·q²
null
0
3
4
17
14.4
-5.4
false
{"mass": "4", "time": "-4", "specific_heat": "3", "thermal_cond": "-3", "charge": "-2", "conductivity": "1"}
6
charge,mass,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·q·ρ_e
em,mechanics,thermo
m⁴·t⁻⁴·c³·κ⁻³·q⁻²·ρ_e⁻¹
ρ_e = k₀ · m⁴·t⁻⁴·c³·κ⁻³·q⁻²
null
0
3
4
17
14.4
-5.4
false
{"mass": "4", "time": "-4", "specific_heat": "3", "thermal_cond": "-3", "charge": "-2", "resistivity": "-1"}
6
current,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·i·U
em,mechanics,thermo
m³·t⁻⁵·c²·κ⁻²·i⁻¹·U⁻¹
i = k₀ · m³·t⁻⁵·c²·κ⁻²·U⁻¹
null
0
3
5
14
12.8
-3.8
false
{"mass": "3", "time": "-5", "specific_heat": "2", "thermal_cond": "-2", "current": "-1", "voltage": "-1"}
6
current,mass,resistance,specific_heat,thermal_cond,time
m·t·c·κ·i·R
em,mechanics,thermo
m³·t⁻⁵·c²·κ⁻²·i⁻²·R⁻¹
R = k₀ · m³·t⁻⁵·c²·κ⁻²·i⁻²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "specific_heat": "2", "thermal_cond": "-2", "current": "-2", "resistance": "-1"}
6
capacitance,current,mass,specific_heat,thermal_cond,time
m·t·c·κ·i·C_e
em,mechanics,thermo
m³·t⁻⁶·c²·κ⁻²·i⁻²·C_e
C_e = k₀ · m⁻³·t⁶·c⁻²·κ²·i²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "specific_heat": "2", "thermal_cond": "-2", "current": "-2", "capacitance": "1"}
6
current,inductance,mass,specific_heat,thermal_cond,time
m·t·c·κ·i·L_e
em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·i⁻²·L_e⁻¹
L_e = k₀ · m³·t⁻⁴·c²·κ⁻²·i⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "current": "-2", "inductance": "-1"}
6
current,efield,mass,specific_heat,thermal_cond,time
m·t·c·κ·i·E_f
em,mechanics,thermo
m²·t⁻⁴·c·κ⁻¹·i⁻¹·E_f⁻¹
c = k₀ · m⁻²·t⁴·κ·i·E_f
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "time": "-4", "specific_heat": "1", "thermal_cond": "-1", "current": "-1", "efield": "-1"}
6
current,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·i·Φ
em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·i⁻¹·Φ⁻¹
i = k₀ · m³·t⁻⁴·c²·κ⁻²·Φ⁻¹
null
0
3
4
13
11.6
-2.6
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "current": "-1", "mag_flux": "-1"}
6
current,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·i·ε
em,mechanics,thermo
m⁴·t⁻⁷·c³·κ⁻³·i⁻²·ε
ε = k₀ · m⁻⁴·t⁷·c⁻³·κ³·i²
null
0
3
7
20
18
-9
false
{"mass": "4", "time": "-7", "specific_heat": "3", "thermal_cond": "-3", "current": "-2", "permittivity": "1"}
6
current,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·i·μ₀
em,mechanics,thermo
m²·t⁻³·c·κ⁻¹·i⁻²·μ₀⁻¹
c = k₀ · m⁻²·t³·κ·i²·μ₀
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "specific_heat": "1", "thermal_cond": "-1", "current": "-2", "permeability": "-1"}
6
conductivity,current,mass,specific_heat,thermal_cond,time
m·t·c·κ·i·σ
em,mechanics,thermo
m⁴·t⁻⁶·c³·κ⁻³·i⁻²·σ
σ = k₀ · m⁻⁴·t⁶·c⁻³·κ³·i²
null
0
3
6
19
16.8
-7.8
false
{"mass": "4", "time": "-6", "specific_heat": "3", "thermal_cond": "-3", "current": "-2", "conductivity": "1"}
6
current,mass,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·i·ρ_e
em,mechanics,thermo
m⁴·t⁻⁶·c³·κ⁻³·i⁻²·ρ_e⁻¹
ρ_e = k₀ · m⁴·t⁻⁶·c³·κ⁻³·i⁻²
null
0
3
6
19
16.8
-7.8
false
{"mass": "4", "time": "-6", "specific_heat": "3", "thermal_cond": "-3", "current": "-2", "resistivity": "-1"}
6
mass,resistance,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·R
em,mechanics,thermo
m³·t⁻⁵·c²·κ⁻²·U⁻²·R
R = k₀ · m⁻³·t⁵·c⁻²·κ²·U²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "specific_heat": "2", "thermal_cond": "-2", "voltage": "-2", "resistance": "1"}
6
capacitance,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·C_e
em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·U⁻²·C_e⁻¹
C_e = k₀ · m³·t⁻⁴·c²·κ⁻²·U⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "voltage": "-2", "capacitance": "-1"}
6
inductance,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·L_e
em,mechanics,thermo
m³·t⁻⁶·c²·κ⁻²·U⁻²·L_e
L_e = k₀ · m⁻³·t⁶·c⁻²·κ²·U²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "specific_heat": "2", "thermal_cond": "-2", "voltage": "-2", "inductance": "1"}
6
efield,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·E_f
em,mechanics,thermo
m·t⁻¹·c·κ⁻¹·U⁻¹·E_f
m = k₀ · t·c⁻¹·κ·U·E_f⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "voltage": "-1", "efield": "1"}
6
bfield,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·B
em,mechanics,thermo
m²·t⁻³·c²·κ⁻²·U⁻¹·B
U = k₀ · m²·t⁻³·c²·κ⁻²·B
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "voltage": "-1", "bfield": "1"}
6
mass,permittivity,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·ε
em,mechanics,thermo
m²·t⁻³·c·κ⁻¹·U⁻²·ε⁻¹
c = k₀ · m⁻²·t³·κ·U²·ε
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "specific_heat": "1", "thermal_cond": "-1", "voltage": "-2", "permittivity": "-1"}
6
mass,permeability,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·μ₀
em,mechanics,thermo
m⁴·t⁻⁷·c³·κ⁻³·U⁻²·μ₀
μ₀ = k₀ · m⁻⁴·t⁷·c⁻³·κ³·U²
null
0
3
7
20
18
-9
false
{"mass": "4", "time": "-7", "specific_heat": "3", "thermal_cond": "-3", "voltage": "-2", "permeability": "1"}
6
conductivity,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·σ
em,mechanics,thermo
m²·t⁻⁴·c·κ⁻¹·U⁻²·σ⁻¹
c = k₀ · m⁻²·t⁴·κ·U²·σ
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "specific_heat": "1", "thermal_cond": "-1", "voltage": "-2", "conductivity": "-1"}
6
mass,resistivity,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·ρ_e
em,mechanics,thermo
m²·t⁻⁴·c·κ⁻¹·U⁻²·ρ_e
c = k₀ · m⁻²·t⁴·κ·U²·ρ_e⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "specific_heat": "1", "thermal_cond": "-1", "voltage": "-2", "resistivity": "1"}
6
elem_charge,mass,specific_heat,thermal_cond,time,voltage
m·t·c·κ·U·e
constants,em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·U⁻¹·e⁻¹
U = k₀ · m³·t⁻⁴·c²·κ⁻²·e⁻¹
null
1
4
4
13
12.2
-3.7
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "voltage": "-1", "elem_charge": "-1"}
6
bfield,mass,resistance,specific_heat,thermal_cond,time
m·t·c·κ·R·B
em,mechanics,thermo
m·t⁻¹·c²·κ⁻²·R⁻¹·B²
m = k₀ · t·c⁻²·κ²·R·B⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-1", "specific_heat": "2", "thermal_cond": "-2", "resistance": "-1", "bfield": "2"}
6
mag_flux,mass,resistance,specific_heat,thermal_cond,time
m·t·c·κ·R·Φ
em,mechanics,thermo
m³·t⁻³·c²·κ⁻²·R·Φ⁻²
R = k₀ · m⁻³·t³·c⁻²·κ²·Φ²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "resistance": "1", "mag_flux": "-2"}
6
mass,permittivity,resistance,specific_heat,thermal_cond,time
m·t·c·κ·R·ε
em,mechanics,thermo
m·t⁻²·c·κ⁻¹·R·ε
m = k₀ · t²·c⁻¹·κ·R⁻¹·ε⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "resistance": "1", "permittivity": "1"}
6
mass,permeability,resistance,specific_heat,thermal_cond,time
m·t·c·κ·R·μ₀
em,mechanics,thermo
m·t⁻²·c·κ⁻¹·R⁻¹·μ₀
m = k₀ · t²·c⁻¹·κ·R·μ₀⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "resistance": "-1", "permeability": "1"}
6
conductivity,mass,resistance,specific_heat,thermal_cond,time
m·t·c·κ·R·σ
em,mechanics,thermo
m·t⁻¹·c·κ⁻¹·R·σ
m = k₀ · t·c⁻¹·κ·R⁻¹·σ⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "resistance": "1", "conductivity": "1"}
6
mass,resistance,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·R·ρ_e
em,mechanics,thermo
m·t⁻¹·c·κ⁻¹·R·ρ_e⁻¹
m = k₀ · t·c⁻¹·κ·R⁻¹·ρ_e
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "resistance": "1", "resistivity": "-1"}
6
elem_charge,mass,resistance,specific_heat,thermal_cond,time
m·t·c·κ·R·e
constants,em,mechanics,thermo
m³·t⁻³·c²·κ⁻²·R⁻¹·e⁻²
R = k₀ · m³·t⁻³·c²·κ⁻²·e⁻²
null
1
4
3
13
11.7
-3.2
false
{"mass": "3", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "resistance": "-1", "elem_charge": "-2"}
6
bfield,capacitance,mass,specific_heat,thermal_cond,time
m·t·c·κ·C_e·B
em,mechanics,thermo
m·t⁻²·c²·κ⁻²·C_e·B²
m = k₀ · t²·c⁻²·κ²·C_e⁻¹·B⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "1", "bfield": "2"}
6
capacitance,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·C_e·Φ
em,mechanics,thermo
m³·t⁻²·c²·κ⁻²·C_e⁻¹·Φ⁻²
C_e = k₀ · m³·t⁻²·c²·κ⁻²·Φ⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "-1", "mag_flux": "-2"}
6
capacitance,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·C_e·ε
em,mechanics,thermo
m·t⁻¹·c·κ⁻¹·C_e⁻¹·ε
m = k₀ · t·c⁻¹·κ·C_e·ε⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "capacitance": "-1", "permittivity": "1"}
6
capacitance,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·C_e·μ₀
em,mechanics,thermo
m·t⁻³·c·κ⁻¹·C_e·μ₀
m = k₀ · t³·c⁻¹·κ·C_e⁻¹·μ₀⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "specific_heat": "1", "thermal_cond": "-1", "capacitance": "1", "permeability": "1"}
6
capacitance,elem_charge,mass,specific_heat,thermal_cond,time
m·t·c·κ·C_e·e
constants,em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·C_e·e⁻²
C_e = k₀ · m⁻³·t⁴·c⁻²·κ²·e²
null
1
4
4
14
12.9
-4.4
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "1", "elem_charge": "-2"}
6
inductance,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·L_e·Φ
em,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·L_e·Φ⁻²
L_e = k₀ · m⁻³·t⁴·c⁻²·κ²·Φ²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "inductance": "1", "mag_flux": "-2"}
6
inductance,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·L_e·ε
em,mechanics,thermo
m·t⁻³·c·κ⁻¹·L_e·ε
m = k₀ · t³·c⁻¹·κ·L_e⁻¹·ε⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "specific_heat": "1", "thermal_cond": "-1", "inductance": "1", "permittivity": "1"}
6
inductance,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·L_e·μ₀
em,mechanics,thermo
m·t⁻¹·c·κ⁻¹·L_e⁻¹·μ₀
m = k₀ · t·c⁻¹·κ·L_e·μ₀⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "inductance": "-1", "permeability": "1"}
6
conductivity,inductance,mass,specific_heat,thermal_cond,time
m·t·c·κ·L_e·σ
em,mechanics,thermo
m·t⁻²·c·κ⁻¹·L_e·σ
m = k₀ · t²·c⁻¹·κ·L_e⁻¹·σ⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "inductance": "1", "conductivity": "1"}
6
inductance,mass,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·L_e·ρ_e
em,mechanics,thermo
m·t⁻²·c·κ⁻¹·L_e·ρ_e⁻¹
m = k₀ · t²·c⁻¹·κ·L_e⁻¹·ρ_e
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "inductance": "1", "resistivity": "-1"}
6
elem_charge,inductance,mass,specific_heat,thermal_cond,time
m·t·c·κ·L_e·e
constants,em,mechanics,thermo
m³·t⁻²·c²·κ⁻²·L_e⁻¹·e⁻²
L_e = k₀ · m³·t⁻²·c²·κ⁻²·e⁻²
null
1
4
3
12
11
-2.5
false
{"mass": "3", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "inductance": "-1", "elem_charge": "-2"}
6
bfield,efield,mass,specific_heat,thermal_cond,time
m·t·c·κ·E_f·B
em,mechanics,thermo
m·t⁻²·c·κ⁻¹·E_f⁻¹·B
m = k₀ · t²·c⁻¹·κ·E_f·B⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "efield": "-1", "bfield": "1"}
6
efield,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·E_f·μ₀
em,mechanics,thermo
m²·t⁻⁵·c·κ⁻¹·E_f⁻²·μ₀
c = k₀ · m⁻²·t⁵·κ·E_f²·μ₀⁻¹
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "time": "-5", "specific_heat": "1", "thermal_cond": "-1", "efield": "-2", "permeability": "1"}
6
efield,elem_charge,mass,specific_heat,thermal_cond,time
m·t·c·κ·E_f·e
constants,em,mechanics,thermo
m²·t⁻³·c·κ⁻¹·E_f⁻¹·e⁻¹
c = k₀ · m⁻²·t³·κ·E_f·e
null
1
4
3
9
8.9
-0.4
false
{"mass": "2", "time": "-3", "specific_heat": "1", "thermal_cond": "-1", "efield": "-1", "elem_charge": "-1"}
6
bfield,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·B·Φ
em,mechanics,thermo
m²·t⁻²·c²·κ⁻²·B·Φ⁻¹
B = k₀ · m⁻²·t²·c⁻²·κ²·Φ
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "bfield": "1", "mag_flux": "-1"}
6
bfield,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·B·ε
em,mechanics,thermo
m²·t⁻³·c³·κ⁻³·B²·ε
ε = k₀ · m⁻²·t³·c⁻³·κ³·B⁻²
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "time": "-3", "specific_heat": "3", "thermal_cond": "-3", "bfield": "2", "permittivity": "1"}
6
bfield,conductivity,mass,specific_heat,thermal_cond,time
m·t·c·κ·B·σ
em,mechanics,thermo
m²·t⁻²·c³·κ⁻³·B²·σ
σ = k₀ · m⁻²·t²·c⁻³·κ³·B⁻²
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "time": "-2", "specific_heat": "3", "thermal_cond": "-3", "bfield": "2", "conductivity": "1"}
6
bfield,mass,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·B·ρ_e
em,mechanics,thermo
m²·t⁻²·c³·κ⁻³·B²·ρ_e⁻¹
ρ_e = k₀ · m²·t⁻²·c³·κ⁻³·B²
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "time": "-2", "specific_heat": "3", "thermal_cond": "-3", "bfield": "2", "resistivity": "-1"}
6
mag_flux,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·Φ·ε
em,mechanics,thermo
m²·t⁻¹·c·κ⁻¹·Φ⁻²·ε⁻¹
t = k₀ · m²·c·κ⁻¹·Φ⁻²·ε⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "mag_flux": "-2", "permittivity": "-1"}
6
mag_flux,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·Φ·μ₀
em,mechanics,thermo
m⁴·t⁻⁵·c³·κ⁻³·Φ⁻²·μ₀
μ₀ = k₀ · m⁻⁴·t⁵·c⁻³·κ³·Φ²
null
0
3
5
18
15.6
-6.6
false
{"mass": "4", "time": "-5", "specific_heat": "3", "thermal_cond": "-3", "mag_flux": "-2", "permeability": "1"}
6
conductivity,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·Φ·σ
em,mechanics,thermo
m²·t⁻²·c·κ⁻¹·Φ⁻²·σ⁻¹
c = k₀ · m⁻²·t²·κ·Φ²·σ
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "mag_flux": "-2", "conductivity": "-1"}
6
mag_flux,mass,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·Φ·ρ_e
em,mechanics,thermo
m²·t⁻²·c·κ⁻¹·Φ⁻²·ρ_e
c = k₀ · m⁻²·t²·κ·Φ²·ρ_e⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "mag_flux": "-2", "resistivity": "1"}
6
elem_charge,mag_flux,mass,specific_heat,thermal_cond,time
m·t·c·κ·Φ·e
constants,em,mechanics,thermo
m³·t⁻³·c²·κ⁻²·Φ⁻¹·e⁻¹
Φ = k₀ · m³·t⁻³·c²·κ⁻²·e⁻¹
null
1
4
3
12
11
-2.5
false
{"mass": "3", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "mag_flux": "-1", "elem_charge": "-1"}
6
mass,permeability,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·ε·μ₀
em,mechanics,thermo
m²·t⁻⁴·c²·κ⁻²·ε·μ₀
ε = k₀ · m⁻²·t⁴·c⁻²·κ²·μ₀⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "permittivity": "1", "permeability": "1"}
6
elem_charge,mass,permittivity,specific_heat,thermal_cond,time
m·t·c·κ·ε·e
constants,em,mechanics,thermo
m⁴·t⁻⁵·c³·κ⁻³·ε·e⁻²
ε = k₀ · m⁻⁴·t⁵·c⁻³·κ³·e²
null
1
4
5
18
16.2
-7.7
false
{"mass": "4", "time": "-5", "specific_heat": "3", "thermal_cond": "-3", "permittivity": "1", "elem_charge": "-2"}
6
conductivity,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·μ₀·σ
em,mechanics,thermo
m²·t⁻³·c²·κ⁻²·μ₀·σ
μ₀ = k₀ · m⁻²·t³·c⁻²·κ²·σ⁻¹
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "permeability": "1", "conductivity": "1"}
6
mass,permeability,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·μ₀·ρ_e
em,mechanics,thermo
m²·t⁻³·c²·κ⁻²·μ₀·ρ_e⁻¹
μ₀ = k₀ · m⁻²·t³·c⁻²·κ²·ρ_e
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "permeability": "1", "resistivity": "-1"}
6
elem_charge,mass,permeability,specific_heat,thermal_cond,time
m·t·c·κ·μ₀·e
constants,em,mechanics,thermo
m²·t⁻¹·c·κ⁻¹·μ₀⁻¹·e⁻²
t = k₀ · m²·c·κ⁻¹·μ₀⁻¹·e⁻²
null
1
4
2
8
7.7
0.8
false
{"mass": "2", "time": "-1", "specific_heat": "1", "thermal_cond": "-1", "permeability": "-1", "elem_charge": "-2"}
6
conductivity,elem_charge,mass,specific_heat,thermal_cond,time
m·t·c·κ·σ·e
constants,em,mechanics,thermo
m⁴·t⁻⁴·c³·κ⁻³·σ·e⁻²
σ = k₀ · m⁻⁴·t⁴·c⁻³·κ³·e²
null
1
4
4
17
15
-6.5
false
{"mass": "4", "time": "-4", "specific_heat": "3", "thermal_cond": "-3", "conductivity": "1", "elem_charge": "-2"}
6
elem_charge,mass,resistivity,specific_heat,thermal_cond,time
m·t·c·κ·ρ_e·e
constants,em,mechanics,thermo
m⁴·t⁻⁴·c³·κ⁻³·ρ_e⁻¹·e⁻²
ρ_e = k₀ · m⁴·t⁻⁴·c³·κ⁻³·e⁻²
null
1
4
4
17
15
-6.5
false
{"mass": "4", "time": "-4", "specific_heat": "3", "thermal_cond": "-3", "resistivity": "-1", "elem_charge": "-2"}
6
amount,concentration,mass,specific_heat,thermal_cond,time
m·t·c·κ·n·c_n
chemistry,mechanics,thermo
m³·t⁻³·c³·κ⁻³·n⁻¹·c_n
n = k₀ · m³·t⁻³·c³·κ⁻³·c_n
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "time": "-3", "specific_heat": "3", "thermal_cond": "-3", "amount": "-1", "concentration": "1"}
6
amount,mass,molar_energy,specific_heat,thermal_cond,time
m·t·c·κ·n·E_m
chemistry,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·n⁻¹·E_m⁻¹
n = k₀ · m³·t⁻⁴·c²·κ⁻²·E_m⁻¹
null
0
3
4
13
11.6
-2.6
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,mass,molar_mass,specific_heat,thermal_cond,time
m·t·c·κ·M_m·c_n
chemistry,mechanics,thermo
m²·t⁻³·c³·κ⁻³·M_m·c_n
M_m = k₀ · m⁻²·t³·c⁻³·κ³·c_n⁻¹
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "time": "-3", "specific_heat": "3", "thermal_cond": "-3", "molar_mass": "1", "concentration": "1"}
6
mass,molar_energy,molar_mass,specific_heat,thermal_cond,time
m·t·c·κ·M_m·E_m
chemistry,mechanics,thermo
m²·t⁻⁴·c²·κ⁻²·M_m·E_m⁻¹
M_m = k₀ · m⁻²·t⁴·c⁻²·κ²·E_m
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "molar_mass": "1", "molar_energy": "-1"}
6
concentration,gas_constant,mass,specific_heat,thermal_cond,time
m·t·c·κ·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·c²·κ⁻³·c_n·R
c_n = k₀ · m⁻²·t³·c⁻²·κ³·R⁻¹
null
0
3
3
12
10.4
-1.4
false
{"mass": "2", "time": "-3", "specific_heat": "2", "thermal_cond": "-3", "concentration": "1", "gas_constant": "1"}
6
cat_activity,concentration,mass,specific_heat,thermal_cond,time
m·t·c·κ·c_n·z
chemistry,mechanics,thermo
m³·t⁻⁴·c³·κ⁻³·c_n·z⁻¹
c_n = k₀ · m⁻³·t⁴·c⁻³·κ³·z
null
0
3
4
15
13
-4
false
{"mass": "3", "time": "-4", "specific_heat": "3", "thermal_cond": "-3", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,mass,specific_heat,thermal_cond,time
m·t·c·κ·c_n·N_A
chemistry,constants,mechanics,thermo
m³·t⁻³·c³·κ⁻³·c_n·N_A
c_n = k₀ · m⁻³·t³·c⁻³·κ³·N_A⁻¹
null
1
4
3
14
12.4
-3.9
false
{"mass": "3", "time": "-3", "specific_heat": "3", "thermal_cond": "-3", "concentration": "1", "avogadro": "1"}
6
gas_constant,mass,molar_energy,specific_heat,thermal_cond,time
m·t·c·κ·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁴·c·κ⁻²·E_m⁻¹·R
c = k₀ · m⁻²·t⁴·κ²·E_m·R⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "specific_heat": "1", "thermal_cond": "-2", "molar_energy": "-1", "gas_constant": "1"}
6
cat_activity,mass,molar_energy,specific_heat,thermal_cond,time
m·t·c·κ·E_m·z
chemistry,mechanics,thermo
m³·t⁻⁵·c²·κ⁻²·E_m⁻¹·z⁻¹
E_m = k₀ · m³·t⁻⁵·c²·κ⁻²·z⁻¹
null
0
3
5
14
12.8
-3.8
false
{"mass": "3", "time": "-5", "specific_heat": "2", "thermal_cond": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,mass,molar_energy,specific_heat,thermal_cond,time
m·t·c·κ·E_m·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁴·c²·κ⁻²·E_m⁻¹·N_A
E_m = k₀ · m³·t⁻⁴·c²·κ⁻²·N_A
null
1
4
4
13
12.2
-3.7
false
{"mass": "3", "time": "-4", "specific_heat": "2", "thermal_cond": "-2", "molar_energy": "-1", "avogadro": "1"}
6
illuminance,lum_intensity,mass,specific_heat,thermal_cond,time
m·t·c·κ·I_v·E_v
mechanics,photometry,thermo
m²·t⁻²·c²·κ⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·t⁻²·c²·κ⁻²·E_v
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
lum_intensity,luminance,mass,specific_heat,thermal_cond,time
m·t·c·κ·I_v·L_v
mechanics,photometry,thermo
m²·t⁻²·c²·κ⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·t⁻²·c²·κ⁻²·L_v
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "time": "-2", "specific_heat": "2", "thermal_cond": "-2", "lum_intensity": "-1", "luminance": "1"}
5
light_speed,mass,specific_heat,thermal_cond,time
m·t·c·κ·c₀
constants,mechanics,thermo
m·t⁻²·c·κ⁻¹·c₀⁻¹
m = k₀ · t²·c⁻¹·κ·c₀
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "specific_heat": "1", "thermal_cond": "-1", "light_speed": "-1"}
5
grav_const,mass,specific_heat,thermal_cond,time
m·t·c·κ·G
constants,mechanics,thermo
m²·t⁻⁵·c³·κ⁻³·G⁻¹
G = k₀ · m²·t⁻⁵·c³·κ⁻³
null
1
3
5
14
12.5
-3.5
false
{"mass": "2", "time": "-5", "specific_heat": "3", "thermal_cond": "-3", "grav_const": "-1"}
5
mass,planck,specific_heat,thermal_cond,time
m·t·c·κ·h
constants,mechanics,thermo
m³·t⁻³·c²·κ⁻²·h⁻¹
h = k₀ · m³·t⁻³·c²·κ⁻²
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "time": "-3", "specific_heat": "2", "thermal_cond": "-2", "planck": "-1"}
6
concentration,gas_constant,mass,specific_heat,thermal_diff,time
m·t·c·α·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·c²·α⁻³·c_n⁻²·R⁻²
m = k₀ · t³ᐟ²·c⁻¹·α³ᐟ²·c_n·R
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "time": "-3", "specific_heat": "2", "thermal_diff": "-3", "concentration": "-2", "gas_constant": "-2"}
6
charge,expansion,mass,resistance,specific_heat,time
m·t·c·β·q·R
em,mechanics,thermo
m·t·c·β⁻¹·q⁻²·R⁻¹
m = k₀ · t⁻¹·c⁻¹·β·q²·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "specific_heat": "1", "expansion": "-1", "charge": "-2", "resistance": "-1"}
6
charge,expansion,inductance,mass,specific_heat,time
m·t·c·β·q·L_e
em,mechanics,thermo
m·t²·c·β⁻¹·q⁻²·L_e⁻¹
m = k₀ · t⁻²·c⁻¹·β·q²·L_e
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "specific_heat": "1", "expansion": "-1", "charge": "-2", "inductance": "-1"}
6
charge,efield,expansion,mass,specific_heat,time
m·t·c·β·q·E_f
em,mechanics,thermo
m²·t⁻²·c·β⁻¹·q⁻²·E_f⁻²
c = k₀ · m⁻²·t²·β·q²·E_f²
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "time": "-2", "specific_heat": "1", "expansion": "-1", "charge": "-2", "efield": "-2"}
6
charge,expansion,mag_flux,mass,specific_heat,time
m·t·c·β·q·Φ
em,mechanics,thermo
m·t·c·β⁻¹·q⁻¹·Φ⁻¹
m = k₀ · t⁻¹·c⁻¹·β·q·Φ
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "specific_heat": "1", "expansion": "-1", "charge": "-1", "mag_flux": "-1"}
6
charge,expansion,mass,permittivity,specific_heat,time
m·t·c·β·q·ε
em,mechanics,thermo
m²·t²·c³·β⁻³·q⁻⁴·ε²
m = k₀ · t⁻¹·c⁻³ᐟ²·β³ᐟ²·q²·ε⁻¹
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "2", "specific_heat": "3", "expansion": "-3", "charge": "-4", "permittivity": "2"}
6
charge,expansion,mass,permeability,specific_heat,time
m·t·c·β·q·μ₀
em,mechanics,thermo
m²·t²·c·β⁻¹·q⁻⁴·μ₀⁻²
c = k₀ · m⁻²·t⁻²·β·q⁴·μ₀²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "2", "specific_heat": "1", "expansion": "-1", "charge": "-4", "permeability": "-2"}
6
charge,conductivity,expansion,mass,specific_heat,time
m·t·c·β·q·σ
em,mechanics,thermo
m²·t⁴·c³·β⁻³·q⁻⁴·σ²
m = k₀ · t⁻²·c⁻³ᐟ²·β³ᐟ²·q²·σ⁻¹
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "4", "specific_heat": "3", "expansion": "-3", "charge": "-4", "conductivity": "2"}