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62 values
pi
stringlengths
3
46
equation
stringlengths
10
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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
charge,heat_capacity,mass,permittivity,thermal_cond,time
m·t·C·κ·q·ε
em,mechanics,thermo
m·t⁻⁵·C³·κ⁻³·q⁻²·ε
m = k₀ · t⁵·C⁻³·κ³·q²·ε⁻¹
null
0
3
5
15
13.5
-4.5
false
{"mass": "1", "time": "-5", "heat_capacity": "3", "thermal_cond": "-3", "charge": "-2", "permittivity": "1"}
6
charge,heat_capacity,mass,permeability,thermal_cond,time
m·t·C·κ·q·μ₀
em,mechanics,thermo
m·t⁻¹·C·κ⁻¹·q⁻²·μ₀⁻¹
m = k₀ · t·C⁻¹·κ·q²·μ₀
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "heat_capacity": "1", "thermal_cond": "-1", "charge": "-2", "permeability": "-1"}
6
charge,conductivity,heat_capacity,mass,thermal_cond,time
m·t·C·κ·q·σ
em,mechanics,thermo
m·t⁻⁴·C³·κ⁻³·q⁻²·σ
m = k₀ · t⁴·C⁻³·κ³·q²·σ⁻¹
null
0
3
4
14
12.3
-3.3
false
{"mass": "1", "time": "-4", "heat_capacity": "3", "thermal_cond": "-3", "charge": "-2", "conductivity": "1"}
6
charge,heat_capacity,mass,resistivity,thermal_cond,time
m·t·C·κ·q·ρ_e
em,mechanics,thermo
m·t⁻⁴·C³·κ⁻³·q⁻²·ρ_e⁻¹
m = k₀ · t⁴·C⁻³·κ³·q²·ρ_e
null
0
3
4
14
12.3
-3.3
false
{"mass": "1", "time": "-4", "heat_capacity": "3", "thermal_cond": "-3", "charge": "-2", "resistivity": "-1"}
6
current,heat_capacity,mass,thermal_cond,time,voltage
m·t·C·κ·i·U
em,mechanics,thermo
m·t⁻⁵·C²·κ⁻²·i⁻¹·U⁻¹
m = k₀ · t⁵·C⁻²·κ²·i·U
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "time": "-5", "heat_capacity": "2", "thermal_cond": "-2", "current": "-1", "voltage": "-1"}
6
current,heat_capacity,mass,resistance,thermal_cond,time
m·t·C·κ·i·R
em,mechanics,thermo
m·t⁻⁵·C²·κ⁻²·i⁻²·R⁻¹
m = k₀ · t⁵·C⁻²·κ²·i²·R
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "heat_capacity": "2", "thermal_cond": "-2", "current": "-2", "resistance": "-1"}
6
capacitance,current,heat_capacity,mass,thermal_cond,time
m·t·C·κ·i·C_e
em,mechanics,thermo
m·t⁻⁶·C²·κ⁻²·i⁻²·C_e
m = k₀ · t⁶·C⁻²·κ²·i²·C_e⁻¹
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "time": "-6", "heat_capacity": "2", "thermal_cond": "-2", "current": "-2", "capacitance": "1"}
6
current,heat_capacity,inductance,mass,thermal_cond,time
m·t·C·κ·i·L_e
em,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·i⁻²·L_e⁻¹
m = k₀ · t⁴·C⁻²·κ²·i²·L_e
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "current": "-2", "inductance": "-1"}
6
current,efield,heat_capacity,mass,thermal_cond,time
m·t·C·κ·i·E_f
em,mechanics,thermo
m·t⁻⁴·C·κ⁻¹·i⁻¹·E_f⁻¹
m = k₀ · t⁴·C⁻¹·κ·i·E_f
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "thermal_cond": "-1", "current": "-1", "efield": "-1"}
6
current,heat_capacity,mag_flux,mass,thermal_cond,time
m·t·C·κ·i·Φ
em,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·i⁻¹·Φ⁻¹
m = k₀ · t⁴·C⁻²·κ²·i·Φ
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "current": "-1", "mag_flux": "-1"}
6
current,heat_capacity,mass,permittivity,thermal_cond,time
m·t·C·κ·i·ε
em,mechanics,thermo
m·t⁻⁷·C³·κ⁻³·i⁻²·ε
m = k₀ · t⁷·C⁻³·κ³·i²·ε⁻¹
null
0
3
7
17
15.9
-6.9
false
{"mass": "1", "time": "-7", "heat_capacity": "3", "thermal_cond": "-3", "current": "-2", "permittivity": "1"}
6
current,heat_capacity,mass,permeability,thermal_cond,time
m·t·C·κ·i·μ₀
em,mechanics,thermo
m·t⁻³·C·κ⁻¹·i⁻²·μ₀⁻¹
m = k₀ · t³·C⁻¹·κ·i²·μ₀
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "heat_capacity": "1", "thermal_cond": "-1", "current": "-2", "permeability": "-1"}
6
conductivity,current,heat_capacity,mass,thermal_cond,time
m·t·C·κ·i·σ
em,mechanics,thermo
m·t⁻⁶·C³·κ⁻³·i⁻²·σ
m = k₀ · t⁶·C⁻³·κ³·i²·σ⁻¹
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "time": "-6", "heat_capacity": "3", "thermal_cond": "-3", "current": "-2", "conductivity": "1"}
6
current,heat_capacity,mass,resistivity,thermal_cond,time
m·t·C·κ·i·ρ_e
em,mechanics,thermo
m·t⁻⁶·C³·κ⁻³·i⁻²·ρ_e⁻¹
m = k₀ · t⁶·C⁻³·κ³·i²·ρ_e
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "time": "-6", "heat_capacity": "3", "thermal_cond": "-3", "current": "-2", "resistivity": "-1"}
6
heat_capacity,mass,resistance,thermal_cond,time,voltage
m·t·C·κ·U·R
em,mechanics,thermo
m·t⁻⁵·C²·κ⁻²·U⁻²·R
m = k₀ · t⁵·C⁻²·κ²·U²·R⁻¹
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "heat_capacity": "2", "thermal_cond": "-2", "voltage": "-2", "resistance": "1"}
6
capacitance,heat_capacity,mass,thermal_cond,time,voltage
m·t·C·κ·U·C_e
em,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·U⁻²·C_e⁻¹
m = k₀ · t⁴·C⁻²·κ²·U²·C_e
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "voltage": "-2", "capacitance": "-1"}
6
heat_capacity,inductance,mass,thermal_cond,time,voltage
m·t·C·κ·U·L_e
em,mechanics,thermo
m·t⁻⁶·C²·κ⁻²·U⁻²·L_e
m = k₀ · t⁶·C⁻²·κ²·U²·L_e⁻¹
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "time": "-6", "heat_capacity": "2", "thermal_cond": "-2", "voltage": "-2", "inductance": "1"}
6
heat_capacity,mass,permittivity,thermal_cond,time,voltage
m·t·C·κ·U·ε
em,mechanics,thermo
m·t⁻³·C·κ⁻¹·U⁻²·ε⁻¹
m = k₀ · t³·C⁻¹·κ·U²·ε
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "heat_capacity": "1", "thermal_cond": "-1", "voltage": "-2", "permittivity": "-1"}
6
heat_capacity,mass,permeability,thermal_cond,time,voltage
m·t·C·κ·U·μ₀
em,mechanics,thermo
m·t⁻⁷·C³·κ⁻³·U⁻²·μ₀
m = k₀ · t⁷·C⁻³·κ³·U²·μ₀⁻¹
null
0
3
7
17
15.9
-6.9
false
{"mass": "1", "time": "-7", "heat_capacity": "3", "thermal_cond": "-3", "voltage": "-2", "permeability": "1"}
6
conductivity,heat_capacity,mass,thermal_cond,time,voltage
m·t·C·κ·U·σ
em,mechanics,thermo
m·t⁻⁴·C·κ⁻¹·U⁻²·σ⁻¹
m = k₀ · t⁴·C⁻¹·κ·U²·σ
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "thermal_cond": "-1", "voltage": "-2", "conductivity": "-1"}
6
heat_capacity,mass,resistivity,thermal_cond,time,voltage
m·t·C·κ·U·ρ_e
em,mechanics,thermo
m·t⁻⁴·C·κ⁻¹·U⁻²·ρ_e
m = k₀ · t⁴·C⁻¹·κ·U²·ρ_e⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "thermal_cond": "-1", "voltage": "-2", "resistivity": "1"}
6
elem_charge,heat_capacity,mass,thermal_cond,time,voltage
m·t·C·κ·U·e
constants,em,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·U⁻¹·e⁻¹
m = k₀ · t⁴·C⁻²·κ²·U·e
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "voltage": "-1", "elem_charge": "-1"}
6
bfield,heat_capacity,mass,resistance,thermal_cond,time
m·t·C·κ·R·B
em,mechanics,thermo
m·t·C⁻²·κ²·R·B⁻²
m = k₀ · t⁻¹·C²·κ⁻²·R⁻¹·B²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "1", "heat_capacity": "-2", "thermal_cond": "2", "resistance": "1", "bfield": "-2"}
6
heat_capacity,mag_flux,mass,resistance,thermal_cond,time
m·t·C·κ·R·Φ
em,mechanics,thermo
m·t⁻³·C²·κ⁻²·R·Φ⁻²
m = k₀ · t³·C⁻²·κ²·R⁻¹·Φ²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "heat_capacity": "2", "thermal_cond": "-2", "resistance": "1", "mag_flux": "-2"}
6
elem_charge,heat_capacity,mass,resistance,thermal_cond,time
m·t·C·κ·R·e
constants,em,mechanics,thermo
m·t⁻³·C²·κ⁻²·R⁻¹·e⁻²
m = k₀ · t³·C⁻²·κ²·R·e²
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "time": "-3", "heat_capacity": "2", "thermal_cond": "-2", "resistance": "-1", "elem_charge": "-2"}
6
bfield,capacitance,heat_capacity,mass,thermal_cond,time
m·t·C·κ·C_e·B
em,mechanics,thermo
m·t²·C⁻²·κ²·C_e⁻¹·B⁻²
m = k₀ · t⁻²·C²·κ⁻²·C_e·B²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "2", "heat_capacity": "-2", "thermal_cond": "2", "capacitance": "-1", "bfield": "-2"}
6
capacitance,heat_capacity,mag_flux,mass,thermal_cond,time
m·t·C·κ·C_e·Φ
em,mechanics,thermo
m·t⁻²·C²·κ⁻²·C_e⁻¹·Φ⁻²
m = k₀ · t²·C⁻²·κ²·C_e·Φ²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "heat_capacity": "2", "thermal_cond": "-2", "capacitance": "-1", "mag_flux": "-2"}
6
capacitance,elem_charge,heat_capacity,mass,thermal_cond,time
m·t·C·κ·C_e·e
constants,em,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·C_e·e⁻²
m = k₀ · t⁴·C⁻²·κ²·C_e⁻¹·e²
null
1
4
4
12
11.5
-3
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "capacitance": "1", "elem_charge": "-2"}
6
heat_capacity,inductance,mag_flux,mass,thermal_cond,time
m·t·C·κ·L_e·Φ
em,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·L_e·Φ⁻²
m = k₀ · t⁴·C⁻²·κ²·L_e⁻¹·Φ²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "inductance": "1", "mag_flux": "-2"}
6
elem_charge,heat_capacity,inductance,mass,thermal_cond,time
m·t·C·κ·L_e·e
constants,em,mechanics,thermo
m·t⁻²·C²·κ⁻²·L_e⁻¹·e⁻²
m = k₀ · t²·C⁻²·κ²·L_e·e²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "time": "-2", "heat_capacity": "2", "thermal_cond": "-2", "inductance": "-1", "elem_charge": "-2"}
6
efield,heat_capacity,mass,permittivity,thermal_cond,time
m·t·C·κ·E_f·ε
em,mechanics,thermo
m·t⁻¹·C⁻¹·κ·E_f⁻²·ε⁻¹
m = k₀ · t·C·κ⁻¹·E_f²·ε
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "thermal_cond": "1", "efield": "-2", "permittivity": "-1"}
6
efield,heat_capacity,mass,permeability,thermal_cond,time
m·t·C·κ·E_f·μ₀
em,mechanics,thermo
m·t⁻⁵·C·κ⁻¹·E_f⁻²·μ₀
m = k₀ · t⁵·C⁻¹·κ·E_f²·μ₀⁻¹
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "time": "-5", "heat_capacity": "1", "thermal_cond": "-1", "efield": "-2", "permeability": "1"}
6
conductivity,efield,heat_capacity,mass,thermal_cond,time
m·t·C·κ·E_f·σ
em,mechanics,thermo
m·t⁻²·C⁻¹·κ·E_f⁻²·σ⁻¹
m = k₀ · t²·C·κ⁻¹·E_f²·σ
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "thermal_cond": "1", "efield": "-2", "conductivity": "-1"}
6
efield,heat_capacity,mass,resistivity,thermal_cond,time
m·t·C·κ·E_f·ρ_e
em,mechanics,thermo
m·t⁻²·C⁻¹·κ·E_f⁻²·ρ_e
m = k₀ · t²·C·κ⁻¹·E_f²·ρ_e⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "thermal_cond": "1", "efield": "-2", "resistivity": "1"}
6
efield,elem_charge,heat_capacity,mass,thermal_cond,time
m·t·C·κ·E_f·e
constants,em,mechanics,thermo
m·t⁻³·C·κ⁻¹·E_f⁻¹·e⁻¹
m = k₀ · t³·C⁻¹·κ·E_f·e
null
1
4
3
8
8.2
0.3
false
{"mass": "1", "time": "-3", "heat_capacity": "1", "thermal_cond": "-1", "efield": "-1", "elem_charge": "-1"}
6
bfield,heat_capacity,mass,permittivity,thermal_cond,time
m·t·C·κ·B·ε
em,mechanics,thermo
m·t³·C⁻³·κ³·B⁻²·ε⁻¹
m = k₀ · t⁻³·C³·κ⁻³·B²·ε
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "time": "3", "heat_capacity": "-3", "thermal_cond": "3", "bfield": "-2", "permittivity": "-1"}
6
bfield,heat_capacity,mass,permeability,thermal_cond,time
m·t·C·κ·B·μ₀
em,mechanics,thermo
m·t⁻¹·C⁻¹·κ·B⁻²·μ₀
m = k₀ · t·C·κ⁻¹·B²·μ₀⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "thermal_cond": "1", "bfield": "-2", "permeability": "1"}
6
bfield,conductivity,heat_capacity,mass,thermal_cond,time
m·t·C·κ·B·σ
em,mechanics,thermo
m·t²·C⁻³·κ³·B⁻²·σ⁻¹
m = k₀ · t⁻²·C³·κ⁻³·B²·σ
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "2", "heat_capacity": "-3", "thermal_cond": "3", "bfield": "-2", "conductivity": "-1"}
6
bfield,heat_capacity,mass,resistivity,thermal_cond,time
m·t·C·κ·B·ρ_e
em,mechanics,thermo
m·t²·C⁻³·κ³·B⁻²·ρ_e
m = k₀ · t⁻²·C³·κ⁻³·B²·ρ_e⁻¹
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "2", "heat_capacity": "-3", "thermal_cond": "3", "bfield": "-2", "resistivity": "1"}
6
heat_capacity,mag_flux,mass,permittivity,thermal_cond,time
m·t·C·κ·Φ·ε
em,mechanics,thermo
m·t⁻¹·C·κ⁻¹·Φ⁻²·ε⁻¹
m = k₀ · t·C⁻¹·κ·Φ²·ε
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "heat_capacity": "1", "thermal_cond": "-1", "mag_flux": "-2", "permittivity": "-1"}
6
heat_capacity,mag_flux,mass,permeability,thermal_cond,time
m·t·C·κ·Φ·μ₀
em,mechanics,thermo
m·t⁻⁵·C³·κ⁻³·Φ⁻²·μ₀
m = k₀ · t⁵·C⁻³·κ³·Φ²·μ₀⁻¹
null
0
3
5
15
13.5
-4.5
false
{"mass": "1", "time": "-5", "heat_capacity": "3", "thermal_cond": "-3", "mag_flux": "-2", "permeability": "1"}
6
conductivity,heat_capacity,mag_flux,mass,thermal_cond,time
m·t·C·κ·Φ·σ
em,mechanics,thermo
m·t⁻²·C·κ⁻¹·Φ⁻²·σ⁻¹
m = k₀ · t²·C⁻¹·κ·Φ²·σ
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "heat_capacity": "1", "thermal_cond": "-1", "mag_flux": "-2", "conductivity": "-1"}
6
heat_capacity,mag_flux,mass,resistivity,thermal_cond,time
m·t·C·κ·Φ·ρ_e
em,mechanics,thermo
m·t⁻²·C·κ⁻¹·Φ⁻²·ρ_e
m = k₀ · t²·C⁻¹·κ·Φ²·ρ_e⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "heat_capacity": "1", "thermal_cond": "-1", "mag_flux": "-2", "resistivity": "1"}
6
elem_charge,heat_capacity,mag_flux,mass,thermal_cond,time
m·t·C·κ·Φ·e
constants,em,mechanics,thermo
m·t⁻³·C²·κ⁻²·Φ⁻¹·e⁻¹
m = k₀ · t³·C⁻²·κ²·Φ·e
null
1
4
3
10
9.6
-1.1
false
{"mass": "1", "time": "-3", "heat_capacity": "2", "thermal_cond": "-2", "mag_flux": "-1", "elem_charge": "-1"}
6
elem_charge,heat_capacity,mass,permittivity,thermal_cond,time
m·t·C·κ·ε·e
constants,em,mechanics,thermo
m·t⁻⁵·C³·κ⁻³·ε·e⁻²
m = k₀ · t⁵·C⁻³·κ³·ε⁻¹·e²
null
1
4
5
15
14.1
-5.6
false
{"mass": "1", "time": "-5", "heat_capacity": "3", "thermal_cond": "-3", "permittivity": "1", "elem_charge": "-2"}
6
elem_charge,heat_capacity,mass,permeability,thermal_cond,time
m·t·C·κ·μ₀·e
constants,em,mechanics,thermo
m·t⁻¹·C·κ⁻¹·μ₀⁻¹·e⁻²
m = k₀ · t·C⁻¹·κ·μ₀·e²
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-1", "heat_capacity": "1", "thermal_cond": "-1", "permeability": "-1", "elem_charge": "-2"}
6
conductivity,elem_charge,heat_capacity,mass,thermal_cond,time
m·t·C·κ·σ·e
constants,em,mechanics,thermo
m·t⁻⁴·C³·κ⁻³·σ·e⁻²
m = k₀ · t⁴·C⁻³·κ³·σ⁻¹·e²
null
1
4
4
14
12.9
-4.4
false
{"mass": "1", "time": "-4", "heat_capacity": "3", "thermal_cond": "-3", "conductivity": "1", "elem_charge": "-2"}
6
elem_charge,heat_capacity,mass,resistivity,thermal_cond,time
m·t·C·κ·ρ_e·e
constants,em,mechanics,thermo
m·t⁻⁴·C³·κ⁻³·ρ_e⁻¹·e⁻²
m = k₀ · t⁴·C⁻³·κ³·ρ_e·e²
null
1
4
4
14
12.9
-4.4
false
{"mass": "1", "time": "-4", "heat_capacity": "3", "thermal_cond": "-3", "resistivity": "-1", "elem_charge": "-2"}
6
amount,heat_capacity,mass,molar_energy,thermal_cond,time
m·t·C·κ·n·E_m
chemistry,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·n⁻¹·E_m⁻¹
m = k₀ · t⁴·C⁻²·κ²·n·E_m
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,heat_capacity,mass,molar_mass,thermal_cond,time
m·t·C·κ·M_m·c_n
chemistry,mechanics,thermo
m·t³·C⁻³·κ³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁻³·C³·κ⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "3", "heat_capacity": "-3", "thermal_cond": "3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,heat_capacity,mass,molar_energy,thermal_cond,time
m·t·C·κ·c_n·E_m
chemistry,mechanics,thermo
m·t⁻¹·C⁻¹·κ·c_n⁻¹·E_m⁻¹
m = k₀ · t·C·κ⁻¹·c_n·E_m
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "thermal_cond": "1", "concentration": "-1", "molar_energy": "-1"}
6
gas_constant,heat_capacity,mass,molar_energy,thermal_cond,time
m·t·C·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻⁴·C·κ⁻²·E_m⁻¹·R
m = k₀ · t⁴·C⁻¹·κ²·E_m·R⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "thermal_cond": "-2", "molar_energy": "-1", "gas_constant": "1"}
6
cat_activity,heat_capacity,mass,molar_energy,thermal_cond,time
m·t·C·κ·E_m·z
chemistry,mechanics,thermo
m·t⁻⁵·C²·κ⁻²·E_m⁻¹·z⁻¹
m = k₀ · t⁵·C⁻²·κ²·E_m·z
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "time": "-5", "heat_capacity": "2", "thermal_cond": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,heat_capacity,mass,molar_energy,thermal_cond,time
m·t·C·κ·E_m·N_A
chemistry,constants,mechanics,thermo
m·t⁻⁴·C²·κ⁻²·E_m⁻¹·N_A
m = k₀ · t⁴·C⁻²·κ²·E_m·N_A⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "heat_capacity": "2", "thermal_cond": "-2", "molar_energy": "-1", "avogadro": "1"}
5
grav_const,heat_capacity,mass,thermal_cond,time
m·t·C·κ·G
constants,mechanics,thermo
m·t⁵·C⁻³·κ³·G
m = k₀ · t⁻⁵·C³·κ⁻³·G⁻¹
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "time": "5", "heat_capacity": "-3", "thermal_cond": "3", "grav_const": "1"}
5
heat_capacity,mass,planck,thermal_cond,time
m·t·C·κ·h
constants,mechanics,thermo
m·t⁻³·C²·κ⁻²·h⁻¹
m = k₀ · t³·C⁻²·κ²·h
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "heat_capacity": "2", "thermal_cond": "-2", "planck": "-1"}
5
expansion,heat_capacity,mass,thermal_diff,time
m·t·C·α·β
mechanics,thermo
m·t⁻¹·C⁻¹·α·β
m = k₀ · t·C·α⁻¹·β⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "heat_capacity": "-1", "thermal_diff": "1", "expansion": "1"}
6
gas_constant,heat_capacity,mass,molar_energy,thermal_diff,time
m·t·C·α·E_m·R
chemistry,mechanics,thermo
m·t⁻¹·C⁻¹·α·E_m⁻¹·R
m = k₀ · t·C·α⁻¹·E_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "thermal_diff": "1", "molar_energy": "-1", "gas_constant": "1"}
6
charge,efield,expansion,heat_capacity,mass,time
m·t·C·β·q·E_f
em,mechanics,thermo
m·t⁻²·C·β⁻¹·q⁻²·E_f⁻²
m = k₀ · t²·C⁻¹·β·q²·E_f²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "1", "expansion": "-1", "charge": "-2", "efield": "-2"}
6
charge,expansion,heat_capacity,mass,permittivity,time
m·t·C·β·q·ε
em,mechanics,thermo
m·t⁻²·C⁻³·β³·q⁴·ε⁻²
m = k₀ · t²·C³·β⁻³·q⁻⁴·ε²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "heat_capacity": "-3", "expansion": "3", "charge": "4", "permittivity": "-2"}
6
charge,expansion,heat_capacity,mass,permeability,time
m·t·C·β·q·μ₀
em,mechanics,thermo
m·t²·C·β⁻¹·q⁻⁴·μ₀⁻²
m = k₀ · t⁻²·C⁻¹·β·q⁴·μ₀²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "heat_capacity": "1", "expansion": "-1", "charge": "-4", "permeability": "-2"}
6
charge,conductivity,expansion,heat_capacity,mass,time
m·t·C·β·q·σ
em,mechanics,thermo
m·t⁻⁴·C⁻³·β³·q⁴·σ⁻²
m = k₀ · t⁴·C³·β⁻³·q⁻⁴·σ²
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "heat_capacity": "-3", "expansion": "3", "charge": "4", "conductivity": "-2"}
6
charge,expansion,heat_capacity,mass,resistivity,time
m·t·C·β·q·ρ_e
em,mechanics,thermo
m·t⁻⁴·C⁻³·β³·q⁴·ρ_e²
m = k₀ · t⁴·C³·β⁻³·q⁻⁴·ρ_e⁻²
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "heat_capacity": "-3", "expansion": "3", "charge": "4", "resistivity": "2"}
6
current,efield,expansion,heat_capacity,mass,time
m·t·C·β·i·E_f
em,mechanics,thermo
m·t⁻⁴·C·β⁻¹·i⁻²·E_f⁻²
m = k₀ · t⁴·C⁻¹·β·i²·E_f²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "expansion": "-1", "current": "-2", "efield": "-2"}
6
current,expansion,heat_capacity,mass,permittivity,time
m·t·C·β·i·ε
em,mechanics,thermo
m·t²·C⁻³·β³·i⁴·ε⁻²
m = k₀ · t⁻²·C³·β⁻³·i⁻⁴·ε²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "heat_capacity": "-3", "expansion": "3", "current": "4", "permittivity": "-2"}
6
current,expansion,heat_capacity,mass,permeability,time
m·t·C·β·i·μ₀
em,mechanics,thermo
m·t⁻²·C·β⁻¹·i⁻⁴·μ₀⁻²
m = k₀ · t²·C⁻¹·β·i⁴·μ₀²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "1", "expansion": "-1", "current": "-4", "permeability": "-2"}
6
efield,expansion,heat_capacity,mass,time,voltage
m·t·C·β·U·E_f
em,mechanics,thermo
m·t⁻²·C⁻¹·β·U²·E_f⁻²
m = k₀ · t²·C·β⁻¹·U⁻²·E_f²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "expansion": "1", "voltage": "2", "efield": "-2"}
6
bfield,expansion,heat_capacity,mass,time,voltage
m·t·C·β·U·B
em,mechanics,thermo
m·t⁻¹·C⁻¹·β·U·B⁻¹
m = k₀ · t·C·β⁻¹·U⁻¹·B
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "expansion": "1", "voltage": "1", "bfield": "-1"}
6
expansion,heat_capacity,mass,permittivity,time,voltage
m·t·C·β·U·ε
em,mechanics,thermo
m·t⁻²·C·β⁻¹·U⁻⁴·ε⁻²
m = k₀ · t²·C⁻¹·β·U⁴·ε²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "1", "expansion": "-1", "voltage": "-4", "permittivity": "-2"}
6
expansion,heat_capacity,mass,permeability,time,voltage
m·t·C·β·U·μ₀
em,mechanics,thermo
m·t²·C⁻³·β³·U⁴·μ₀⁻²
m = k₀ · t⁻²·C³·β⁻³·U⁻⁴·μ₀²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "heat_capacity": "-3", "expansion": "3", "voltage": "4", "permeability": "-2"}
6
conductivity,expansion,heat_capacity,mass,time,voltage
m·t·C·β·U·σ
em,mechanics,thermo
m·t⁻⁴·C·β⁻¹·U⁻⁴·σ⁻²
m = k₀ · t⁴·C⁻¹·β·U⁴·σ²
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "expansion": "-1", "voltage": "-4", "conductivity": "-2"}
6
expansion,heat_capacity,mass,resistivity,time,voltage
m·t·C·β·U·ρ_e
em,mechanics,thermo
m·t⁻⁴·C·β⁻¹·U⁻⁴·ρ_e²
m = k₀ · t⁴·C⁻¹·β·U⁴·ρ_e⁻²
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "heat_capacity": "1", "expansion": "-1", "voltage": "-4", "resistivity": "2"}
6
bfield,expansion,heat_capacity,mass,resistance,time
m·t·C·β·R·B
em,mechanics,thermo
m²·t⁻³·C⁻¹·β·R·B⁻²
C = k₀ · m²·t⁻³·β·R·B⁻²
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "heat_capacity": "-1", "expansion": "1", "resistance": "1", "bfield": "-2"}
6
conductivity,expansion,heat_capacity,mass,resistance,time
m·t·C·β·R·σ
em,mechanics,thermo
m·t⁻²·C⁻¹·β·R⁻²·σ⁻²
m = k₀ · t²·C·β⁻¹·R²·σ²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "expansion": "1", "resistance": "-2", "conductivity": "-2"}
6
expansion,heat_capacity,mass,resistance,resistivity,time
m·t·C·β·R·ρ_e
em,mechanics,thermo
m·t⁻²·C⁻¹·β·R⁻²·ρ_e²
m = k₀ · t²·C·β⁻¹·R²·ρ_e⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "expansion": "1", "resistance": "-2", "resistivity": "2"}
6
bfield,capacitance,expansion,heat_capacity,mass,time
m·t·C·β·C_e·B
em,mechanics,thermo
m²·t⁻²·C⁻¹·β·C_e⁻¹·B⁻²
C = k₀ · m²·t⁻²·β·C_e⁻¹·B⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "heat_capacity": "-1", "expansion": "1", "capacitance": "-1", "bfield": "-2"}
6
capacitance,expansion,heat_capacity,mass,permittivity,time
m·t·C·β·C_e·ε
em,mechanics,thermo
m·t⁻²·C⁻¹·β·C_e²·ε⁻²
m = k₀ · t²·C·β⁻¹·C_e⁻²·ε²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "expansion": "1", "capacitance": "2", "permittivity": "-2"}
6
capacitance,expansion,heat_capacity,mass,permeability,time
m·t·C·β·C_e·μ₀
em,mechanics,thermo
m·t²·C⁻¹·β·C_e⁻²·μ₀⁻²
m = k₀ · t⁻²·C·β⁻¹·C_e²·μ₀²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "heat_capacity": "-1", "expansion": "1", "capacitance": "-2", "permeability": "-2"}
6
capacitance,conductivity,expansion,heat_capacity,mass,time
m·t·C·β·C_e·σ
em,mechanics,thermo
m·t⁻⁴·C⁻¹·β·C_e²·σ⁻²
m = k₀ · t⁴·C·β⁻¹·C_e⁻²·σ²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "heat_capacity": "-1", "expansion": "1", "capacitance": "2", "conductivity": "-2"}
6
capacitance,expansion,heat_capacity,mass,resistivity,time
m·t·C·β·C_e·ρ_e
em,mechanics,thermo
m·t⁻⁴·C⁻¹·β·C_e²·ρ_e²
m = k₀ · t⁴·C·β⁻¹·C_e⁻²·ρ_e⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "heat_capacity": "-1", "expansion": "1", "capacitance": "2", "resistivity": "2"}
6
bfield,expansion,heat_capacity,inductance,mass,time
m·t·C·β·L_e·B
em,mechanics,thermo
m²·t⁻⁴·C⁻¹·β·L_e·B⁻²
C = k₀ · m²·t⁻⁴·β·L_e·B⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "heat_capacity": "-1", "expansion": "1", "inductance": "1", "bfield": "-2"}
6
expansion,heat_capacity,inductance,mass,permittivity,time
m·t·C·β·L_e·ε
em,mechanics,thermo
m·t²·C⁻¹·β·L_e⁻²·ε⁻²
m = k₀ · t⁻²·C·β⁻¹·L_e²·ε²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "heat_capacity": "-1", "expansion": "1", "inductance": "-2", "permittivity": "-2"}
6
expansion,heat_capacity,inductance,mass,permeability,time
m·t·C·β·L_e·μ₀
em,mechanics,thermo
m·t⁻²·C⁻¹·β·L_e²·μ₀⁻²
m = k₀ · t²·C·β⁻¹·L_e⁻²·μ₀²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "expansion": "1", "inductance": "2", "permeability": "-2"}
6
efield,expansion,heat_capacity,mag_flux,mass,time
m·t·C·β·E_f·Φ
em,mechanics,thermo
m·t⁻⁴·C⁻¹·β·E_f⁻²·Φ²
m = k₀ · t⁴·C·β⁻¹·E_f²·Φ⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "heat_capacity": "-1", "expansion": "1", "efield": "-2", "mag_flux": "2"}
6
efield,expansion,heat_capacity,mass,permittivity,time
m·t·C·β·E_f·ε
em,mechanics,thermo
m³·t⁻⁶·C⁻¹·β·E_f⁻⁴·ε⁻²
C = k₀ · m³·t⁻⁶·β·E_f⁻⁴·ε⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "heat_capacity": "-1", "expansion": "1", "efield": "-4", "permittivity": "-2"}
6
efield,expansion,heat_capacity,mass,permeability,time
m·t·C·β·E_f·μ₀
em,mechanics,thermo
m·t⁻⁶·C·β⁻¹·E_f⁻⁴·μ₀²
m = k₀ · t⁶·C⁻¹·β·E_f⁴·μ₀⁻²
null
0
3
6
15
14
-5
false
{"mass": "1", "time": "-6", "heat_capacity": "1", "expansion": "-1", "efield": "-4", "permeability": "2"}
6
conductivity,efield,expansion,heat_capacity,mass,time
m·t·C·β·E_f·σ
em,mechanics,thermo
m³·t⁻⁸·C⁻¹·β·E_f⁻⁴·σ⁻²
C = k₀ · m³·t⁻⁸·β·E_f⁻⁴·σ⁻²
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "heat_capacity": "-1", "expansion": "1", "efield": "-4", "conductivity": "-2"}
6
efield,expansion,heat_capacity,mass,resistivity,time
m·t·C·β·E_f·ρ_e
em,mechanics,thermo
m³·t⁻⁸·C⁻¹·β·E_f⁻⁴·ρ_e²
C = k₀ · m³·t⁻⁸·β·E_f⁻⁴·ρ_e²
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "heat_capacity": "-1", "expansion": "1", "efield": "-4", "resistivity": "2"}
6
efield,elem_charge,expansion,heat_capacity,mass,time
m·t·C·β·E_f·e
constants,em,mechanics,thermo
m·t⁻²·C·β⁻¹·E_f⁻²·e⁻²
m = k₀ · t²·C⁻¹·β·E_f²·e²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "heat_capacity": "1", "expansion": "-1", "efield": "-2", "elem_charge": "-2"}
6
bfield,expansion,heat_capacity,mag_flux,mass,time
m·t·C·β·B·Φ
em,mechanics,thermo
m·t⁻²·C⁻¹·β·B⁻¹·Φ
m = k₀ · t²·C·β⁻¹·B·Φ⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "heat_capacity": "-1", "expansion": "1", "bfield": "-1", "mag_flux": "1"}
6
bfield,expansion,heat_capacity,mass,permittivity,time
m·t·C·β·B·ε
em,mechanics,thermo
m⁵·t⁻⁶·C⁻³·β³·B⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·t⁻³·C⁻³ᐟ²·β³ᐟ²·B⁻²
null
0
3
6
23
19.6
-10.6
false
{"mass": "5", "time": "-6", "heat_capacity": "-3", "expansion": "3", "bfield": "-4", "permittivity": "-2"}
6
bfield,expansion,heat_capacity,mass,permeability,time
m·t·C·β·B·μ₀
em,mechanics,thermo
m³·t⁻⁶·C⁻¹·β·B⁻⁴·μ₀²
C = k₀ · m³·t⁻⁶·β·B⁻⁴·μ₀²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "heat_capacity": "-1", "expansion": "1", "bfield": "-4", "permeability": "2"}
6
bfield,conductivity,expansion,heat_capacity,mass,time
m·t·C·β·B·σ
em,mechanics,thermo
m⁵·t⁻⁸·C⁻³·β³·B⁻⁴·σ⁻²
σ = k₀ · m⁵ᐟ²·t⁻⁴·C⁻³ᐟ²·β³ᐟ²·B⁻²
null
0
3
8
25
22
-13
false
{"mass": "5", "time": "-8", "heat_capacity": "-3", "expansion": "3", "bfield": "-4", "conductivity": "-2"}
6
bfield,expansion,heat_capacity,mass,resistivity,time
m·t·C·β·B·ρ_e
em,mechanics,thermo
m⁵·t⁻⁸·C⁻³·β³·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·C³ᐟ²·β⁻³ᐟ²·B²
null
0
3
8
25
22
-13
false
{"mass": "5", "time": "-8", "heat_capacity": "-3", "expansion": "3", "bfield": "-4", "resistivity": "2"}
6
expansion,heat_capacity,mag_flux,mass,permittivity,time
m·t·C·β·Φ·ε
em,mechanics,thermo
m·t²·C·β⁻¹·Φ⁻⁴·ε⁻²
m = k₀ · t⁻²·C⁻¹·β·Φ⁴·ε²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "heat_capacity": "1", "expansion": "-1", "mag_flux": "-4", "permittivity": "-2"}
6
expansion,heat_capacity,mag_flux,mass,permeability,time
m·t·C·β·Φ·μ₀
em,mechanics,thermo
m·t⁻²·C⁻³·β³·Φ⁴·μ₀⁻²
m = k₀ · t²·C³·β⁻³·Φ⁻⁴·μ₀²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "heat_capacity": "-3", "expansion": "3", "mag_flux": "4", "permeability": "-2"}
6
elem_charge,expansion,heat_capacity,mass,permittivity,time
m·t·C·β·ε·e
constants,em,mechanics,thermo
m·t⁻²·C⁻³·β³·ε⁻²·e⁴
m = k₀ · t²·C³·β⁻³·ε²·e⁻⁴
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "time": "-2", "heat_capacity": "-3", "expansion": "3", "permittivity": "-2", "elem_charge": "4"}
6
conductivity,expansion,heat_capacity,mass,permeability,time
m·t·C·β·μ₀·σ
em,mechanics,thermo
m·t⁻¹·C⁻¹·β·μ₀⁻¹·σ⁻¹
m = k₀ · t·C·β⁻¹·μ₀·σ
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "expansion": "1", "permeability": "-1", "conductivity": "-1"}
6
expansion,heat_capacity,mass,permeability,resistivity,time
m·t·C·β·μ₀·ρ_e
em,mechanics,thermo
m·t⁻¹·C⁻¹·β·μ₀⁻¹·ρ_e
m = k₀ · t·C·β⁻¹·μ₀·ρ_e⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "heat_capacity": "-1", "expansion": "1", "permeability": "-1", "resistivity": "1"}
6
elem_charge,expansion,heat_capacity,mass,permeability,time
m·t·C·β·μ₀·e
constants,em,mechanics,thermo
m·t²·C·β⁻¹·μ₀⁻²·e⁻⁴
m = k₀ · t⁻²·C⁻¹·β·μ₀²·e⁴
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "2", "heat_capacity": "1", "expansion": "-1", "permeability": "-2", "elem_charge": "-4"}