Datasets:
RANDMEDIATION
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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
entropy,mass,temperature,thermal_cond,time
m·t·Θ·S_e·κ
mechanics,thermo
m·t⁻⁴·Θ⁻¹·S_e·κ⁻²
m = k₀ · t⁴·Θ·S_e⁻¹·κ²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "temperature": "-1", "entropy": "1", "thermal_cond": "-2"}
5
entropy,mass,temperature,thermal_diff,time
m·t·Θ·S_e·α
mechanics,thermo
m·t⁻¹·Θ⁻¹·S_e⁻¹·α
m = k₀ · t·Θ·S_e·α⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "temperature": "-1", "entropy": "-1", "thermal_diff": "1"}
6
charge,efield,entropy,mass,temperature,time
m·t·Θ·S_e·q·E_f
em,mechanics,thermo
m·t⁻²·Θ·S_e·q⁻²·E_f⁻²
m = k₀ · t²·Θ⁻¹·S_e⁻¹·q²·E_f²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "1", "entropy": "1", "charge": "-2", "efield": "-2"}
6
charge,entropy,mass,permittivity,temperature,time
m·t·Θ·S_e·q·ε
em,mechanics,thermo
m·t⁻²·Θ⁻³·S_e⁻³·q⁴·ε⁻²
m = k₀ · t²·Θ³·S_e³·q⁻⁴·ε²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "temperature": "-3", "entropy": "-3", "charge": "4", "permittivity": "-2"}
6
charge,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·q·μ₀
em,mechanics,thermo
m·t²·Θ·S_e·q⁻⁴·μ₀⁻²
m = k₀ · t⁻²·Θ⁻¹·S_e⁻¹·q⁴·μ₀²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "temperature": "1", "entropy": "1", "charge": "-4", "permeability": "-2"}
6
charge,conductivity,entropy,mass,temperature,time
m·t·Θ·S_e·q·σ
em,mechanics,thermo
m·t⁻⁴·Θ⁻³·S_e⁻³·q⁴·σ⁻²
m = k₀ · t⁴·Θ³·S_e³·q⁻⁴·σ²
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "temperature": "-3", "entropy": "-3", "charge": "4", "conductivity": "-2"}
6
charge,entropy,mass,resistivity,temperature,time
m·t·Θ·S_e·q·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻³·S_e⁻³·q⁴·ρ_e²
m = k₀ · t⁴·Θ³·S_e³·q⁻⁴·ρ_e⁻²
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "temperature": "-3", "entropy": "-3", "charge": "4", "resistivity": "2"}
6
current,efield,entropy,mass,temperature,time
m·t·Θ·S_e·i·E_f
em,mechanics,thermo
m·t⁻⁴·Θ·S_e·i⁻²·E_f⁻²
m = k₀ · t⁴·Θ⁻¹·S_e⁻¹·i²·E_f²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "1", "entropy": "1", "current": "-2", "efield": "-2"}
6
current,entropy,mass,permittivity,temperature,time
m·t·Θ·S_e·i·ε
em,mechanics,thermo
m·t²·Θ⁻³·S_e⁻³·i⁴·ε⁻²
m = k₀ · t⁻²·Θ³·S_e³·i⁻⁴·ε²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "temperature": "-3", "entropy": "-3", "current": "4", "permittivity": "-2"}
6
current,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·i·μ₀
em,mechanics,thermo
m·t⁻²·Θ·S_e·i⁻⁴·μ₀⁻²
m = k₀ · t²·Θ⁻¹·S_e⁻¹·i⁴·μ₀²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "temperature": "1", "entropy": "1", "current": "-4", "permeability": "-2"}
6
efield,entropy,mass,temperature,time,voltage
m·t·Θ·S_e·U·E_f
em,mechanics,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·U²·E_f⁻²
m = k₀ · t²·Θ·S_e·U⁻²·E_f²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "voltage": "2", "efield": "-2"}
6
bfield,entropy,mass,temperature,time,voltage
m·t·Θ·S_e·U·B
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·S_e⁻¹·U·B⁻¹
m = k₀ · t·Θ·S_e·U⁻¹·B
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "entropy": "-1", "voltage": "1", "bfield": "-1"}
6
entropy,mass,permittivity,temperature,time,voltage
m·t·Θ·S_e·U·ε
em,mechanics,thermo
m·t⁻²·Θ·S_e·U⁻⁴·ε⁻²
m = k₀ · t²·Θ⁻¹·S_e⁻¹·U⁴·ε²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "temperature": "1", "entropy": "1", "voltage": "-4", "permittivity": "-2"}
6
entropy,mass,permeability,temperature,time,voltage
m·t·Θ·S_e·U·μ₀
em,mechanics,thermo
m·t²·Θ⁻³·S_e⁻³·U⁴·μ₀⁻²
m = k₀ · t⁻²·Θ³·S_e³·U⁻⁴·μ₀²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "temperature": "-3", "entropy": "-3", "voltage": "4", "permeability": "-2"}
6
conductivity,entropy,mass,temperature,time,voltage
m·t·Θ·S_e·U·σ
em,mechanics,thermo
m·t⁻⁴·Θ·S_e·U⁻⁴·σ⁻²
m = k₀ · t⁴·Θ⁻¹·S_e⁻¹·U⁴·σ²
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "temperature": "1", "entropy": "1", "voltage": "-4", "conductivity": "-2"}
6
entropy,mass,resistivity,temperature,time,voltage
m·t·Θ·S_e·U·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ·S_e·U⁻⁴·ρ_e²
m = k₀ · t⁴·Θ⁻¹·S_e⁻¹·U⁴·ρ_e⁻²
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "temperature": "1", "entropy": "1", "voltage": "-4", "resistivity": "2"}
6
bfield,entropy,mass,resistance,temperature,time
m·t·Θ·S_e·R·B
em,mechanics,thermo
m²·t⁻³·Θ⁻¹·S_e⁻¹·R·B⁻²
Θ = k₀ · m²·t⁻³·S_e⁻¹·R·B⁻²
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "temperature": "-1", "entropy": "-1", "resistance": "1", "bfield": "-2"}
6
conductivity,entropy,mass,resistance,temperature,time
m·t·Θ·S_e·R·σ
em,mechanics,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·R⁻²·σ⁻²
m = k₀ · t²·Θ·S_e·R²·σ²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "resistance": "-2", "conductivity": "-2"}
6
entropy,mass,resistance,resistivity,temperature,time
m·t·Θ·S_e·R·ρ_e
em,mechanics,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·R⁻²·ρ_e²
m = k₀ · t²·Θ·S_e·R²·ρ_e⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "resistance": "-2", "resistivity": "2"}
6
bfield,capacitance,entropy,mass,temperature,time
m·t·Θ·S_e·C_e·B
em,mechanics,thermo
m²·t⁻²·Θ⁻¹·S_e⁻¹·C_e⁻¹·B⁻²
Θ = k₀ · m²·t⁻²·S_e⁻¹·C_e⁻¹·B⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "temperature": "-1", "entropy": "-1", "capacitance": "-1", "bfield": "-2"}
6
capacitance,entropy,mass,permittivity,temperature,time
m·t·Θ·S_e·C_e·ε
em,mechanics,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·C_e²·ε⁻²
m = k₀ · t²·Θ·S_e·C_e⁻²·ε²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "capacitance": "2", "permittivity": "-2"}
6
capacitance,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·C_e·μ₀
em,mechanics,thermo
m·t²·Θ⁻¹·S_e⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · t⁻²·Θ·S_e·C_e²·μ₀²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "temperature": "-1", "entropy": "-1", "capacitance": "-2", "permeability": "-2"}
6
capacitance,conductivity,entropy,mass,temperature,time
m·t·Θ·S_e·C_e·σ
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·S_e⁻¹·C_e²·σ⁻²
m = k₀ · t⁴·Θ·S_e·C_e⁻²·σ²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "entropy": "-1", "capacitance": "2", "conductivity": "-2"}
6
capacitance,entropy,mass,resistivity,temperature,time
m·t·Θ·S_e·C_e·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·S_e⁻¹·C_e²·ρ_e²
m = k₀ · t⁴·Θ·S_e·C_e⁻²·ρ_e⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "entropy": "-1", "capacitance": "2", "resistivity": "2"}
6
bfield,entropy,inductance,mass,temperature,time
m·t·Θ·S_e·L_e·B
em,mechanics,thermo
m²·t⁻⁴·Θ⁻¹·S_e⁻¹·L_e·B⁻²
Θ = k₀ · m²·t⁻⁴·S_e⁻¹·L_e·B⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "temperature": "-1", "entropy": "-1", "inductance": "1", "bfield": "-2"}
6
entropy,inductance,mass,permittivity,temperature,time
m·t·Θ·S_e·L_e·ε
em,mechanics,thermo
m·t²·Θ⁻¹·S_e⁻¹·L_e⁻²·ε⁻²
m = k₀ · t⁻²·Θ·S_e·L_e²·ε²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "temperature": "-1", "entropy": "-1", "inductance": "-2", "permittivity": "-2"}
6
entropy,inductance,mass,permeability,temperature,time
m·t·Θ·S_e·L_e·μ₀
em,mechanics,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·L_e²·μ₀⁻²
m = k₀ · t²·Θ·S_e·L_e⁻²·μ₀²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "inductance": "2", "permeability": "-2"}
6
efield,entropy,mag_flux,mass,temperature,time
m·t·Θ·S_e·E_f·Φ
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·S_e⁻¹·E_f⁻²·Φ²
m = k₀ · t⁴·Θ·S_e·E_f²·Φ⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "entropy": "-1", "efield": "-2", "mag_flux": "2"}
6
efield,entropy,mass,permittivity,temperature,time
m·t·Θ·S_e·E_f·ε
em,mechanics,thermo
m³·t⁻⁶·Θ⁻¹·S_e⁻¹·E_f⁻⁴·ε⁻²
Θ = k₀ · m³·t⁻⁶·S_e⁻¹·E_f⁻⁴·ε⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "temperature": "-1", "entropy": "-1", "efield": "-4", "permittivity": "-2"}
6
efield,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·E_f·μ₀
em,mechanics,thermo
m·t⁻⁶·Θ·S_e·E_f⁻⁴·μ₀²
m = k₀ · t⁶·Θ⁻¹·S_e⁻¹·E_f⁴·μ₀⁻²
null
0
3
6
15
14
-5
false
{"mass": "1", "time": "-6", "temperature": "1", "entropy": "1", "efield": "-4", "permeability": "2"}
6
conductivity,efield,entropy,mass,temperature,time
m·t·Θ·S_e·E_f·σ
em,mechanics,thermo
m³·t⁻⁸·Θ⁻¹·S_e⁻¹·E_f⁻⁴·σ⁻²
Θ = k₀ · m³·t⁻⁸·S_e⁻¹·E_f⁻⁴·σ⁻²
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "temperature": "-1", "entropy": "-1", "efield": "-4", "conductivity": "-2"}
6
efield,entropy,mass,resistivity,temperature,time
m·t·Θ·S_e·E_f·ρ_e
em,mechanics,thermo
m³·t⁻⁸·Θ⁻¹·S_e⁻¹·E_f⁻⁴·ρ_e²
Θ = k₀ · m³·t⁻⁸·S_e⁻¹·E_f⁻⁴·ρ_e²
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "temperature": "-1", "entropy": "-1", "efield": "-4", "resistivity": "2"}
6
efield,elem_charge,entropy,mass,temperature,time
m·t·Θ·S_e·E_f·e
constants,em,mechanics,thermo
m·t⁻²·Θ·S_e·E_f⁻²·e⁻²
m = k₀ · t²·Θ⁻¹·S_e⁻¹·E_f²·e²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "temperature": "1", "entropy": "1", "efield": "-2", "elem_charge": "-2"}
6
bfield,entropy,mag_flux,mass,temperature,time
m·t·Θ·S_e·B·Φ
em,mechanics,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·B⁻¹·Φ
m = k₀ · t²·Θ·S_e·B·Φ⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "bfield": "-1", "mag_flux": "1"}
6
bfield,entropy,mass,permittivity,temperature,time
m·t·Θ·S_e·B·ε
em,mechanics,thermo
m⁵·t⁻⁶·Θ⁻³·S_e⁻³·B⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·S_e⁻³ᐟ²·B⁻²
null
0
3
6
23
19.6
-10.6
false
{"mass": "5", "time": "-6", "temperature": "-3", "entropy": "-3", "bfield": "-4", "permittivity": "-2"}
6
bfield,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·B·μ₀
em,mechanics,thermo
m³·t⁻⁶·Θ⁻¹·S_e⁻¹·B⁻⁴·μ₀²
Θ = k₀ · m³·t⁻⁶·S_e⁻¹·B⁻⁴·μ₀²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "temperature": "-1", "entropy": "-1", "bfield": "-4", "permeability": "2"}
6
bfield,conductivity,entropy,mass,temperature,time
m·t·Θ·S_e·B·σ
em,mechanics,thermo
m⁵·t⁻⁸·Θ⁻³·S_e⁻³·B⁻⁴·σ⁻²
σ = k₀ · m⁵ᐟ²·t⁻⁴·Θ⁻³ᐟ²·S_e⁻³ᐟ²·B⁻²
null
0
3
8
25
22
-13
false
{"mass": "5", "time": "-8", "temperature": "-3", "entropy": "-3", "bfield": "-4", "conductivity": "-2"}
6
bfield,entropy,mass,resistivity,temperature,time
m·t·Θ·S_e·B·ρ_e
em,mechanics,thermo
m⁵·t⁻⁸·Θ⁻³·S_e⁻³·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·Θ³ᐟ²·S_e³ᐟ²·B²
null
0
3
8
25
22
-13
false
{"mass": "5", "time": "-8", "temperature": "-3", "entropy": "-3", "bfield": "-4", "resistivity": "2"}
6
entropy,mag_flux,mass,permittivity,temperature,time
m·t·Θ·S_e·Φ·ε
em,mechanics,thermo
m·t²·Θ·S_e·Φ⁻⁴·ε⁻²
m = k₀ · t⁻²·Θ⁻¹·S_e⁻¹·Φ⁴·ε²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "temperature": "1", "entropy": "1", "mag_flux": "-4", "permittivity": "-2"}
6
entropy,mag_flux,mass,permeability,temperature,time
m·t·Θ·S_e·Φ·μ₀
em,mechanics,thermo
m·t⁻²·Θ⁻³·S_e⁻³·Φ⁴·μ₀⁻²
m = k₀ · t²·Θ³·S_e³·Φ⁻⁴·μ₀²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "temperature": "-3", "entropy": "-3", "mag_flux": "4", "permeability": "-2"}
6
elem_charge,entropy,mass,permittivity,temperature,time
m·t·Θ·S_e·ε·e
constants,em,mechanics,thermo
m·t⁻²·Θ⁻³·S_e⁻³·ε⁻²·e⁴
m = k₀ · t²·Θ³·S_e³·ε²·e⁻⁴
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "time": "-2", "temperature": "-3", "entropy": "-3", "permittivity": "-2", "elem_charge": "4"}
6
conductivity,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·μ₀·σ
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·S_e⁻¹·μ₀⁻¹·σ⁻¹
m = k₀ · t·Θ·S_e·μ₀·σ
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "entropy": "-1", "permeability": "-1", "conductivity": "-1"}
6
entropy,mass,permeability,resistivity,temperature,time
m·t·Θ·S_e·μ₀·ρ_e
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·S_e⁻¹·μ₀⁻¹·ρ_e
m = k₀ · t·Θ·S_e·μ₀·ρ_e⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "entropy": "-1", "permeability": "-1", "resistivity": "1"}
6
elem_charge,entropy,mass,permeability,temperature,time
m·t·Θ·S_e·μ₀·e
constants,em,mechanics,thermo
m·t²·Θ·S_e·μ₀⁻²·e⁻⁴
m = k₀ · t⁻²·Θ⁻¹·S_e⁻¹·μ₀²·e⁴
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "2", "temperature": "1", "entropy": "1", "permeability": "-2", "elem_charge": "-4"}
6
conductivity,elem_charge,entropy,mass,temperature,time
m·t·Θ·S_e·σ·e
constants,em,mechanics,thermo
m·t⁻⁴·Θ⁻³·S_e⁻³·σ⁻²·e⁴
m = k₀ · t⁴·Θ³·S_e³·σ²·e⁻⁴
null
1
4
4
17
15
-6.5
false
{"mass": "1", "time": "-4", "temperature": "-3", "entropy": "-3", "conductivity": "-2", "elem_charge": "4"}
6
elem_charge,entropy,mass,resistivity,temperature,time
m·t·Θ·S_e·ρ_e·e
constants,em,mechanics,thermo
m·t⁻⁴·Θ⁻³·S_e⁻³·ρ_e²·e⁴
m = k₀ · t⁴·Θ³·S_e³·ρ_e⁻²·e⁻⁴
null
1
4
4
17
15
-6.5
false
{"mass": "1", "time": "-4", "temperature": "-3", "entropy": "-3", "resistivity": "2", "elem_charge": "4"}
6
amount,concentration,entropy,mass,temperature,time
m·t·Θ·S_e·n·c_n
chemistry,mechanics,thermo
m³·t⁻⁶·Θ⁻³·S_e⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·S_e³ᐟ²·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-6", "temperature": "-3", "entropy": "-3", "amount": "2", "concentration": "-2"}
6
concentration,entropy,mass,molar_mass,temperature,time
m·t·Θ·S_e·M_m·c_n
chemistry,mechanics,thermo
m⁵·t⁻⁶·Θ⁻³·S_e⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·S_e⁻³ᐟ²·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "5", "time": "-6", "temperature": "-3", "entropy": "-3", "molar_mass": "-2", "concentration": "-2"}
6
concentration,entropy,mass,molar_energy,temperature,time
m·t·Θ·S_e·c_n·E_m
chemistry,mechanics,thermo
m³·t⁻⁶·Θ⁻¹·S_e⁻¹·c_n⁻²·E_m⁻²
Θ = k₀ · m³·t⁻⁶·S_e⁻¹·c_n⁻²·E_m⁻²
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "temperature": "-1", "entropy": "-1", "concentration": "-2", "molar_energy": "-2"}
6
concentration,entropy,gas_constant,mass,temperature,time
m·t·Θ·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·Θ⁻³·S_e⁻¹·c_n⁻²·R⁻²
S_e = k₀ · m³·t⁻⁶·Θ⁻³·c_n⁻²·R⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "temperature": "-3", "entropy": "-1", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,concentration,entropy,mass,temperature,time
m·t·Θ·S_e·c_n·z
chemistry,mechanics,thermo
m³·t⁻⁴·Θ⁻³·S_e⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·Θ⁻³ᐟ²·S_e⁻³ᐟ²·z
null
0
3
4
17
14.4
-5.4
false
{"mass": "3", "time": "-4", "temperature": "-3", "entropy": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,entropy,mass,temperature,time
m·t·Θ·S_e·c_n·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁶·Θ⁻³·S_e⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·Θ⁻³ᐟ²·S_e⁻³ᐟ²·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-6", "temperature": "-3", "entropy": "-3", "concentration": "-2", "avogadro": "-2"}
6
entropy,illuminance,lum_intensity,mass,temperature,time
m·t·Θ·S_e·I_v·E_v
mechanics,photometry,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·I_v·E_v⁻¹
m = k₀ · t²·Θ·S_e·I_v⁻¹·E_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
entropy,lum_intensity,luminance,mass,temperature,time
m·t·Θ·S_e·I_v·L_v
mechanics,photometry,thermo
m·t⁻²·Θ⁻¹·S_e⁻¹·I_v·L_v⁻¹
m = k₀ · t²·Θ·S_e·I_v⁻¹·L_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "entropy": "-1", "lum_intensity": "1", "luminance": "-1"}
5
entropy,grav_const,mass,temperature,time
m·t·Θ·S_e·G
constants,mechanics,thermo
m⁵·t⁻²·Θ⁻³·S_e⁻³·G²
t = k₀ · m⁵ᐟ²·Θ⁻³ᐟ²·S_e⁻³ᐟ²·G
null
1
3
5
15
13.2
-4.2
false
{"mass": "5", "time": "-2", "temperature": "-3", "entropy": "-3", "grav_const": "2"}
5
heat_capacity,mass,temperature,thermal_cond,time
m·t·Θ·C·κ
mechanics,thermo
m·t⁻⁴·Θ⁻¹·C·κ⁻²
m = k₀ · t⁴·Θ·C⁻¹·κ²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "temperature": "-1", "heat_capacity": "1", "thermal_cond": "-2"}
5
heat_capacity,mass,temperature,thermal_diff,time
m·t·Θ·C·α
mechanics,thermo
m·t⁻¹·Θ⁻¹·C⁻¹·α
m = k₀ · t·Θ·C·α⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "temperature": "-1", "heat_capacity": "-1", "thermal_diff": "1"}
6
charge,efield,heat_capacity,mass,temperature,time
m·t·Θ·C·q·E_f
em,mechanics,thermo
m·t⁻²·Θ·C·q⁻²·E_f⁻²
m = k₀ · t²·Θ⁻¹·C⁻¹·q²·E_f²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "1", "heat_capacity": "1", "charge": "-2", "efield": "-2"}
6
charge,heat_capacity,mass,permittivity,temperature,time
m·t·Θ·C·q·ε
em,mechanics,thermo
m·t⁻²·Θ⁻³·C⁻³·q⁴·ε⁻²
m = k₀ · t²·Θ³·C³·q⁻⁴·ε²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "temperature": "-3", "heat_capacity": "-3", "charge": "4", "permittivity": "-2"}
6
charge,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·q·μ₀
em,mechanics,thermo
m·t²·Θ·C·q⁻⁴·μ₀⁻²
m = k₀ · t⁻²·Θ⁻¹·C⁻¹·q⁴·μ₀²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "temperature": "1", "heat_capacity": "1", "charge": "-4", "permeability": "-2"}
6
charge,conductivity,heat_capacity,mass,temperature,time
m·t·Θ·C·q·σ
em,mechanics,thermo
m·t⁻⁴·Θ⁻³·C⁻³·q⁴·σ⁻²
m = k₀ · t⁴·Θ³·C³·q⁻⁴·σ²
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "temperature": "-3", "heat_capacity": "-3", "charge": "4", "conductivity": "-2"}
6
charge,heat_capacity,mass,resistivity,temperature,time
m·t·Θ·C·q·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻³·C⁻³·q⁴·ρ_e²
m = k₀ · t⁴·Θ³·C³·q⁻⁴·ρ_e⁻²
null
0
3
4
17
14.4
-5.4
false
{"mass": "1", "time": "-4", "temperature": "-3", "heat_capacity": "-3", "charge": "4", "resistivity": "2"}
6
current,efield,heat_capacity,mass,temperature,time
m·t·Θ·C·i·E_f
em,mechanics,thermo
m·t⁻⁴·Θ·C·i⁻²·E_f⁻²
m = k₀ · t⁴·Θ⁻¹·C⁻¹·i²·E_f²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "1", "heat_capacity": "1", "current": "-2", "efield": "-2"}
6
current,heat_capacity,mass,permittivity,temperature,time
m·t·Θ·C·i·ε
em,mechanics,thermo
m·t²·Θ⁻³·C⁻³·i⁴·ε⁻²
m = k₀ · t⁻²·Θ³·C³·i⁻⁴·ε²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "temperature": "-3", "heat_capacity": "-3", "current": "4", "permittivity": "-2"}
6
current,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·i·μ₀
em,mechanics,thermo
m·t⁻²·Θ·C·i⁻⁴·μ₀⁻²
m = k₀ · t²·Θ⁻¹·C⁻¹·i⁴·μ₀²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "temperature": "1", "heat_capacity": "1", "current": "-4", "permeability": "-2"}
6
efield,heat_capacity,mass,temperature,time,voltage
m·t·Θ·C·U·E_f
em,mechanics,thermo
m·t⁻²·Θ⁻¹·C⁻¹·U²·E_f⁻²
m = k₀ · t²·Θ·C·U⁻²·E_f²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "voltage": "2", "efield": "-2"}
6
bfield,heat_capacity,mass,temperature,time,voltage
m·t·Θ·C·U·B
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·C⁻¹·U·B⁻¹
m = k₀ · t·Θ·C·U⁻¹·B
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "heat_capacity": "-1", "voltage": "1", "bfield": "-1"}
6
heat_capacity,mass,permittivity,temperature,time,voltage
m·t·Θ·C·U·ε
em,mechanics,thermo
m·t⁻²·Θ·C·U⁻⁴·ε⁻²
m = k₀ · t²·Θ⁻¹·C⁻¹·U⁴·ε²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "temperature": "1", "heat_capacity": "1", "voltage": "-4", "permittivity": "-2"}
6
heat_capacity,mass,permeability,temperature,time,voltage
m·t·Θ·C·U·μ₀
em,mechanics,thermo
m·t²·Θ⁻³·C⁻³·U⁴·μ₀⁻²
m = k₀ · t⁻²·Θ³·C³·U⁻⁴·μ₀²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "temperature": "-3", "heat_capacity": "-3", "voltage": "4", "permeability": "-2"}
6
conductivity,heat_capacity,mass,temperature,time,voltage
m·t·Θ·C·U·σ
em,mechanics,thermo
m·t⁻⁴·Θ·C·U⁻⁴·σ⁻²
m = k₀ · t⁴·Θ⁻¹·C⁻¹·U⁴·σ²
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "temperature": "1", "heat_capacity": "1", "voltage": "-4", "conductivity": "-2"}
6
heat_capacity,mass,resistivity,temperature,time,voltage
m·t·Θ·C·U·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ·C·U⁻⁴·ρ_e²
m = k₀ · t⁴·Θ⁻¹·C⁻¹·U⁴·ρ_e⁻²
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "temperature": "1", "heat_capacity": "1", "voltage": "-4", "resistivity": "2"}
6
bfield,heat_capacity,mass,resistance,temperature,time
m·t·Θ·C·R·B
em,mechanics,thermo
m²·t⁻³·Θ⁻¹·C⁻¹·R·B⁻²
Θ = k₀ · m²·t⁻³·C⁻¹·R·B⁻²
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "temperature": "-1", "heat_capacity": "-1", "resistance": "1", "bfield": "-2"}
6
conductivity,heat_capacity,mass,resistance,temperature,time
m·t·Θ·C·R·σ
em,mechanics,thermo
m·t⁻²·Θ⁻¹·C⁻¹·R⁻²·σ⁻²
m = k₀ · t²·Θ·C·R²·σ²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "resistance": "-2", "conductivity": "-2"}
6
heat_capacity,mass,resistance,resistivity,temperature,time
m·t·Θ·C·R·ρ_e
em,mechanics,thermo
m·t⁻²·Θ⁻¹·C⁻¹·R⁻²·ρ_e²
m = k₀ · t²·Θ·C·R²·ρ_e⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "resistance": "-2", "resistivity": "2"}
6
bfield,capacitance,heat_capacity,mass,temperature,time
m·t·Θ·C·C_e·B
em,mechanics,thermo
m²·t⁻²·Θ⁻¹·C⁻¹·C_e⁻¹·B⁻²
Θ = k₀ · m²·t⁻²·C⁻¹·C_e⁻¹·B⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "capacitance": "-1", "bfield": "-2"}
6
capacitance,heat_capacity,mass,permittivity,temperature,time
m·t·Θ·C·C_e·ε
em,mechanics,thermo
m·t⁻²·Θ⁻¹·C⁻¹·C_e²·ε⁻²
m = k₀ · t²·Θ·C·C_e⁻²·ε²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "capacitance": "2", "permittivity": "-2"}
6
capacitance,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·C_e·μ₀
em,mechanics,thermo
m·t²·Θ⁻¹·C⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · t⁻²·Θ·C·C_e²·μ₀²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "temperature": "-1", "heat_capacity": "-1", "capacitance": "-2", "permeability": "-2"}
6
capacitance,conductivity,heat_capacity,mass,temperature,time
m·t·Θ·C·C_e·σ
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·C⁻¹·C_e²·σ⁻²
m = k₀ · t⁴·Θ·C·C_e⁻²·σ²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "heat_capacity": "-1", "capacitance": "2", "conductivity": "-2"}
6
capacitance,heat_capacity,mass,resistivity,temperature,time
m·t·Θ·C·C_e·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·C⁻¹·C_e²·ρ_e²
m = k₀ · t⁴·Θ·C·C_e⁻²·ρ_e⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "heat_capacity": "-1", "capacitance": "2", "resistivity": "2"}
6
bfield,heat_capacity,inductance,mass,temperature,time
m·t·Θ·C·L_e·B
em,mechanics,thermo
m²·t⁻⁴·Θ⁻¹·C⁻¹·L_e·B⁻²
Θ = k₀ · m²·t⁻⁴·C⁻¹·L_e·B⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "temperature": "-1", "heat_capacity": "-1", "inductance": "1", "bfield": "-2"}
6
heat_capacity,inductance,mass,permittivity,temperature,time
m·t·Θ·C·L_e·ε
em,mechanics,thermo
m·t²·Θ⁻¹·C⁻¹·L_e⁻²·ε⁻²
m = k₀ · t⁻²·Θ·C·L_e²·ε²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "temperature": "-1", "heat_capacity": "-1", "inductance": "-2", "permittivity": "-2"}
6
heat_capacity,inductance,mass,permeability,temperature,time
m·t·Θ·C·L_e·μ₀
em,mechanics,thermo
m·t⁻²·Θ⁻¹·C⁻¹·L_e²·μ₀⁻²
m = k₀ · t²·Θ·C·L_e⁻²·μ₀²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "inductance": "2", "permeability": "-2"}
6
efield,heat_capacity,mag_flux,mass,temperature,time
m·t·Θ·C·E_f·Φ
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·C⁻¹·E_f⁻²·Φ²
m = k₀ · t⁴·Θ·C·E_f²·Φ⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "heat_capacity": "-1", "efield": "-2", "mag_flux": "2"}
6
efield,heat_capacity,mass,permittivity,temperature,time
m·t·Θ·C·E_f·ε
em,mechanics,thermo
m³·t⁻⁶·Θ⁻¹·C⁻¹·E_f⁻⁴·ε⁻²
Θ = k₀ · m³·t⁻⁶·C⁻¹·E_f⁻⁴·ε⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "temperature": "-1", "heat_capacity": "-1", "efield": "-4", "permittivity": "-2"}
6
efield,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·E_f·μ₀
em,mechanics,thermo
m·t⁻⁶·Θ·C·E_f⁻⁴·μ₀²
m = k₀ · t⁶·Θ⁻¹·C⁻¹·E_f⁴·μ₀⁻²
null
0
3
6
15
14
-5
false
{"mass": "1", "time": "-6", "temperature": "1", "heat_capacity": "1", "efield": "-4", "permeability": "2"}
6
conductivity,efield,heat_capacity,mass,temperature,time
m·t·Θ·C·E_f·σ
em,mechanics,thermo
m³·t⁻⁸·Θ⁻¹·C⁻¹·E_f⁻⁴·σ⁻²
Θ = k₀ · m³·t⁻⁸·C⁻¹·E_f⁻⁴·σ⁻²
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "temperature": "-1", "heat_capacity": "-1", "efield": "-4", "conductivity": "-2"}
6
efield,heat_capacity,mass,resistivity,temperature,time
m·t·Θ·C·E_f·ρ_e
em,mechanics,thermo
m³·t⁻⁸·Θ⁻¹·C⁻¹·E_f⁻⁴·ρ_e²
Θ = k₀ · m³·t⁻⁸·C⁻¹·E_f⁻⁴·ρ_e²
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "temperature": "-1", "heat_capacity": "-1", "efield": "-4", "resistivity": "2"}
6
efield,elem_charge,heat_capacity,mass,temperature,time
m·t·Θ·C·E_f·e
constants,em,mechanics,thermo
m·t⁻²·Θ·C·E_f⁻²·e⁻²
m = k₀ · t²·Θ⁻¹·C⁻¹·E_f²·e²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "temperature": "1", "heat_capacity": "1", "efield": "-2", "elem_charge": "-2"}
6
bfield,heat_capacity,mag_flux,mass,temperature,time
m·t·Θ·C·B·Φ
em,mechanics,thermo
m·t⁻²·Θ⁻¹·C⁻¹·B⁻¹·Φ
m = k₀ · t²·Θ·C·B·Φ⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "bfield": "-1", "mag_flux": "1"}
6
bfield,heat_capacity,mass,permittivity,temperature,time
m·t·Θ·C·B·ε
em,mechanics,thermo
m⁵·t⁻⁶·Θ⁻³·C⁻³·B⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·C⁻³ᐟ²·B⁻²
null
0
3
6
23
19.6
-10.6
false
{"mass": "5", "time": "-6", "temperature": "-3", "heat_capacity": "-3", "bfield": "-4", "permittivity": "-2"}
6
bfield,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·B·μ₀
em,mechanics,thermo
m³·t⁻⁶·Θ⁻¹·C⁻¹·B⁻⁴·μ₀²
Θ = k₀ · m³·t⁻⁶·C⁻¹·B⁻⁴·μ₀²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "temperature": "-1", "heat_capacity": "-1", "bfield": "-4", "permeability": "2"}
6
bfield,conductivity,heat_capacity,mass,temperature,time
m·t·Θ·C·B·σ
em,mechanics,thermo
m⁵·t⁻⁸·Θ⁻³·C⁻³·B⁻⁴·σ⁻²
σ = k₀ · m⁵ᐟ²·t⁻⁴·Θ⁻³ᐟ²·C⁻³ᐟ²·B⁻²
null
0
3
8
25
22
-13
false
{"mass": "5", "time": "-8", "temperature": "-3", "heat_capacity": "-3", "bfield": "-4", "conductivity": "-2"}
6
bfield,heat_capacity,mass,resistivity,temperature,time
m·t·Θ·C·B·ρ_e
em,mechanics,thermo
m⁵·t⁻⁸·Θ⁻³·C⁻³·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·Θ³ᐟ²·C³ᐟ²·B²
null
0
3
8
25
22
-13
false
{"mass": "5", "time": "-8", "temperature": "-3", "heat_capacity": "-3", "bfield": "-4", "resistivity": "2"}
6
heat_capacity,mag_flux,mass,permittivity,temperature,time
m·t·Θ·C·Φ·ε
em,mechanics,thermo
m·t²·Θ·C·Φ⁻⁴·ε⁻²
m = k₀ · t⁻²·Θ⁻¹·C⁻¹·Φ⁴·ε²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "2", "temperature": "1", "heat_capacity": "1", "mag_flux": "-4", "permittivity": "-2"}
6
heat_capacity,mag_flux,mass,permeability,temperature,time
m·t·Θ·C·Φ·μ₀
em,mechanics,thermo
m·t⁻²·Θ⁻³·C⁻³·Φ⁴·μ₀⁻²
m = k₀ · t²·Θ³·C³·Φ⁻⁴·μ₀²
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "-2", "temperature": "-3", "heat_capacity": "-3", "mag_flux": "4", "permeability": "-2"}
6
elem_charge,heat_capacity,mass,permittivity,temperature,time
m·t·Θ·C·ε·e
constants,em,mechanics,thermo
m·t⁻²·Θ⁻³·C⁻³·ε⁻²·e⁴
m = k₀ · t²·Θ³·C³·ε²·e⁻⁴
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "time": "-2", "temperature": "-3", "heat_capacity": "-3", "permittivity": "-2", "elem_charge": "4"}
6
conductivity,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·μ₀·σ
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·C⁻¹·μ₀⁻¹·σ⁻¹
m = k₀ · t·Θ·C·μ₀·σ
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "heat_capacity": "-1", "permeability": "-1", "conductivity": "-1"}
6
heat_capacity,mass,permeability,resistivity,temperature,time
m·t·Θ·C·μ₀·ρ_e
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·C⁻¹·μ₀⁻¹·ρ_e
m = k₀ · t·Θ·C·μ₀·ρ_e⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "heat_capacity": "-1", "permeability": "-1", "resistivity": "1"}
6
elem_charge,heat_capacity,mass,permeability,temperature,time
m·t·Θ·C·μ₀·e
constants,em,mechanics,thermo
m·t²·Θ·C·μ₀⁻²·e⁻⁴
m = k₀ · t⁻²·Θ⁻¹·C⁻¹·μ₀²·e⁴
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "2", "temperature": "1", "heat_capacity": "1", "permeability": "-2", "elem_charge": "-4"}
6
conductivity,elem_charge,heat_capacity,mass,temperature,time
m·t·Θ·C·σ·e
constants,em,mechanics,thermo
m·t⁻⁴·Θ⁻³·C⁻³·σ⁻²·e⁴
m = k₀ · t⁴·Θ³·C³·σ²·e⁻⁴
null
1
4
4
17
15
-6.5
false
{"mass": "1", "time": "-4", "temperature": "-3", "heat_capacity": "-3", "conductivity": "-2", "elem_charge": "4"}