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
current,mass,permittivity,pressure,time
m·t·P_p·i·ε
em,mechanics
m⁴·t⁻¹⁰·P_p⁻³·i⁻²·ε
ε = k₀ · m⁻⁴·t¹⁰·P_p³·i²
null
0
2
10
20
18.6
-9.1
false
{"mass": "4", "time": "-10", "pressure": "-3", "current": "-2", "permittivity": "1"}
5
current,mass,permeability,pressure,time
m·t·P_p·i·μ₀
em,mechanics
m²·t⁻⁴·P_p⁻¹·i⁻²·μ₀⁻¹
P_p = k₀ · m²·t⁻⁴·i⁻²·μ₀⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "pressure": "-1", "current": "-2", "permeability": "-1"}
5
conductivity,current,mass,pressure,time
m·t·P_p·i·σ
em,mechanics
m⁴·t⁻⁹·P_p⁻³·i⁻²·σ
σ = k₀ · m⁻⁴·t⁹·P_p³·i²
null
0
2
9
19
17.4
-7.9
false
{"mass": "4", "time": "-9", "pressure": "-3", "current": "-2", "conductivity": "1"}
5
current,mass,pressure,resistivity,time
m·t·P_p·i·ρ_e
em,mechanics
m⁴·t⁻⁹·P_p⁻³·i⁻²·ρ_e⁻¹
ρ_e = k₀ · m⁴·t⁻⁹·P_p⁻³·i⁻²
null
0
2
9
19
17.4
-7.9
false
{"mass": "4", "time": "-9", "pressure": "-3", "current": "-2", "resistivity": "-1"}
5
mass,pressure,resistance,time,voltage
m·t·P_p·U·R
em,mechanics
m³·t⁻⁷·P_p⁻²·U⁻²·R
R = k₀ · m⁻³·t⁷·P_p²·U²
null
0
2
7
15
13.6
-4.1
false
{"mass": "3", "time": "-7", "pressure": "-2", "voltage": "-2", "resistance": "1"}
5
capacitance,mass,pressure,time,voltage
m·t·P_p·U·C_e
em,mechanics
m³·t⁻⁶·P_p⁻²·U⁻²·C_e⁻¹
C_e = k₀ · m³·t⁻⁶·P_p⁻²·U⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "pressure": "-2", "voltage": "-2", "capacitance": "-1"}
5
inductance,mass,pressure,time,voltage
m·t·P_p·U·L_e
em,mechanics
m³·t⁻⁸·P_p⁻²·U⁻²·L_e
L_e = k₀ · m⁻³·t⁸·P_p²·U²
null
0
2
8
16
14.8
-5.3
false
{"mass": "3", "time": "-8", "pressure": "-2", "voltage": "-2", "inductance": "1"}
5
efield,mass,pressure,time,voltage
m·t·P_p·U·E_f
em,mechanics
m·t⁻²·P_p⁻¹·U⁻¹·E_f
m = k₀ · t²·P_p·U·E_f⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "pressure": "-1", "voltage": "-1", "efield": "1"}
5
bfield,mass,pressure,time,voltage
m·t·P_p·U·B
em,mechanics
m²·t⁻⁵·P_p⁻²·U⁻¹·B
U = k₀ · m²·t⁻⁵·P_p⁻²·B
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "pressure": "-2", "voltage": "-1", "bfield": "1"}
5
mass,permittivity,pressure,time,voltage
m·t·P_p·U·ε
em,mechanics
m²·t⁻⁴·P_p⁻¹·U⁻²·ε⁻¹
P_p = k₀ · m²·t⁻⁴·U⁻²·ε⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "pressure": "-1", "voltage": "-2", "permittivity": "-1"}
5
mass,permeability,pressure,time,voltage
m·t·P_p·U·μ₀
em,mechanics
m⁴·t⁻¹⁰·P_p⁻³·U⁻²·μ₀
μ₀ = k₀ · m⁻⁴·t¹⁰·P_p³·U²
null
0
2
10
20
18.6
-9.1
false
{"mass": "4", "time": "-10", "pressure": "-3", "voltage": "-2", "permeability": "1"}
5
conductivity,mass,pressure,time,voltage
m·t·P_p·U·σ
em,mechanics
m²·t⁻⁵·P_p⁻¹·U⁻²·σ⁻¹
P_p = k₀ · m²·t⁻⁵·U⁻²·σ⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "pressure": "-1", "voltage": "-2", "conductivity": "-1"}
5
mass,pressure,resistivity,time,voltage
m·t·P_p·U·ρ_e
em,mechanics
m²·t⁻⁵·P_p⁻¹·U⁻²·ρ_e
P_p = k₀ · m²·t⁻⁵·U⁻²·ρ_e
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "pressure": "-1", "voltage": "-2", "resistivity": "1"}
5
elem_charge,mass,pressure,time,voltage
m·t·P_p·U·e
constants,em,mechanics
m³·t⁻⁶·P_p⁻²·U⁻¹·e⁻¹
U = k₀ · m³·t⁻⁶·P_p⁻²·e⁻¹
null
1
3
6
13
12.3
-3.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "voltage": "-1", "elem_charge": "-1"}
5
bfield,mass,pressure,resistance,time
m·t·P_p·R·B
em,mechanics
m·t⁻³·P_p⁻²·R⁻¹·B²
m = k₀ · t³·P_p²·R·B⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "pressure": "-2", "resistance": "-1", "bfield": "2"}
5
mag_flux,mass,pressure,resistance,time
m·t·P_p·R·Φ
em,mechanics
m³·t⁻⁵·P_p⁻²·R·Φ⁻²
R = k₀ · m⁻³·t⁵·P_p²·Φ²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "pressure": "-2", "resistance": "1", "mag_flux": "-2"}
5
mass,permittivity,pressure,resistance,time
m·t·P_p·R·ε
em,mechanics
m·t⁻³·P_p⁻¹·R·ε
m = k₀ · t³·P_p·R⁻¹·ε⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "pressure": "-1", "resistance": "1", "permittivity": "1"}
5
mass,permeability,pressure,resistance,time
m·t·P_p·R·μ₀
em,mechanics
m·t⁻³·P_p⁻¹·R⁻¹·μ₀
m = k₀ · t³·P_p·R·μ₀⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "pressure": "-1", "resistance": "-1", "permeability": "1"}
5
conductivity,mass,pressure,resistance,time
m·t·P_p·R·σ
em,mechanics
m·t⁻²·P_p⁻¹·R·σ
m = k₀ · t²·P_p·R⁻¹·σ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "pressure": "-1", "resistance": "1", "conductivity": "1"}
5
mass,pressure,resistance,resistivity,time
m·t·P_p·R·ρ_e
em,mechanics
m·t⁻²·P_p⁻¹·R·ρ_e⁻¹
m = k₀ · t²·P_p·R⁻¹·ρ_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "pressure": "-1", "resistance": "1", "resistivity": "-1"}
5
elem_charge,mass,pressure,resistance,time
m·t·P_p·R·e
constants,em,mechanics
m³·t⁻⁵·P_p⁻²·R⁻¹·e⁻²
R = k₀ · m³·t⁻⁵·P_p⁻²·e⁻²
null
1
3
5
13
11.8
-2.8
false
{"mass": "3", "time": "-5", "pressure": "-2", "resistance": "-1", "elem_charge": "-2"}
5
bfield,capacitance,mass,pressure,time
m·t·P_p·C_e·B
em,mechanics
m·t⁻⁴·P_p⁻²·C_e·B²
m = k₀ · t⁴·P_p²·C_e⁻¹·B⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "pressure": "-2", "capacitance": "1", "bfield": "2"}
5
capacitance,mag_flux,mass,pressure,time
m·t·P_p·C_e·Φ
em,mechanics
m³·t⁻⁴·P_p⁻²·C_e⁻¹·Φ⁻²
C_e = k₀ · m³·t⁻⁴·P_p⁻²·Φ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "time": "-4", "pressure": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,mass,permittivity,pressure,time
m·t·P_p·C_e·ε
em,mechanics
m·t⁻²·P_p⁻¹·C_e⁻¹·ε
m = k₀ · t²·P_p·C_e·ε⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "pressure": "-1", "capacitance": "-1", "permittivity": "1"}
5
capacitance,mass,permeability,pressure,time
m·t·P_p·C_e·μ₀
em,mechanics
m·t⁻⁴·P_p⁻¹·C_e·μ₀
m = k₀ · t⁴·P_p·C_e⁻¹·μ₀⁻¹
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "time": "-4", "pressure": "-1", "capacitance": "1", "permeability": "1"}
5
capacitance,conductivity,mass,pressure,time
m·t·P_p·C_e·σ
em,mechanics
m·t⁻¹·P_p⁻¹·C_e⁻¹·σ
m = k₀ · t·P_p·C_e·σ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "pressure": "-1", "capacitance": "-1", "conductivity": "1"}
5
capacitance,mass,pressure,resistivity,time
m·t·P_p·C_e·ρ_e
em,mechanics
m·t⁻¹·P_p⁻¹·C_e⁻¹·ρ_e⁻¹
m = k₀ · t·P_p·C_e·ρ_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "pressure": "-1", "capacitance": "-1", "resistivity": "-1"}
5
capacitance,elem_charge,mass,pressure,time
m·t·P_p·C_e·e
constants,em,mechanics
m³·t⁻⁶·P_p⁻²·C_e·e⁻²
C_e = k₀ · m⁻³·t⁶·P_p²·e²
null
1
3
6
14
13
-4
false
{"mass": "3", "time": "-6", "pressure": "-2", "capacitance": "1", "elem_charge": "-2"}
5
bfield,inductance,mass,pressure,time
m·t·P_p·L_e·B
em,mechanics
m·t⁻²·P_p⁻²·L_e⁻¹·B²
m = k₀ · t²·P_p²·L_e·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "pressure": "-2", "inductance": "-1", "bfield": "2"}
5
inductance,mag_flux,mass,pressure,time
m·t·P_p·L_e·Φ
em,mechanics
m³·t⁻⁶·P_p⁻²·L_e·Φ⁻²
L_e = k₀ · m⁻³·t⁶·P_p²·Φ²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "pressure": "-2", "inductance": "1", "mag_flux": "-2"}
5
inductance,mass,permittivity,pressure,time
m·t·P_p·L_e·ε
em,mechanics
m·t⁻⁴·P_p⁻¹·L_e·ε
m = k₀ · t⁴·P_p·L_e⁻¹·ε⁻¹
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "time": "-4", "pressure": "-1", "inductance": "1", "permittivity": "1"}
5
inductance,mass,permeability,pressure,time
m·t·P_p·L_e·μ₀
em,mechanics
m·t⁻²·P_p⁻¹·L_e⁻¹·μ₀
m = k₀ · t²·P_p·L_e·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "pressure": "-1", "inductance": "-1", "permeability": "1"}
5
conductivity,inductance,mass,pressure,time
m·t·P_p·L_e·σ
em,mechanics
m·t⁻³·P_p⁻¹·L_e·σ
m = k₀ · t³·P_p·L_e⁻¹·σ⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "pressure": "-1", "inductance": "1", "conductivity": "1"}
5
inductance,mass,pressure,resistivity,time
m·t·P_p·L_e·ρ_e
em,mechanics
m·t⁻³·P_p⁻¹·L_e·ρ_e⁻¹
m = k₀ · t³·P_p·L_e⁻¹·ρ_e
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "pressure": "-1", "inductance": "1", "resistivity": "-1"}
5
elem_charge,inductance,mass,pressure,time
m·t·P_p·L_e·e
constants,em,mechanics
m³·t⁻⁴·P_p⁻²·L_e⁻¹·e⁻²
L_e = k₀ · m³·t⁻⁴·P_p⁻²·e⁻²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "time": "-4", "pressure": "-2", "inductance": "-1", "elem_charge": "-2"}
5
bfield,efield,mass,pressure,time
m·t·P_p·E_f·B
em,mechanics
m·t⁻³·P_p⁻¹·E_f⁻¹·B
m = k₀ · t³·P_p·E_f·B⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "pressure": "-1", "efield": "-1", "bfield": "1"}
5
efield,mag_flux,mass,pressure,time
m·t·P_p·E_f·Φ
em,mechanics
m·t⁻¹·P_p⁻¹·E_f·Φ⁻¹
m = k₀ · t·P_p·E_f⁻¹·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "pressure": "-1", "efield": "1", "mag_flux": "-1"}
5
efield,mass,permeability,pressure,time
m·t·P_p·E_f·μ₀
em,mechanics
m²·t⁻⁶·P_p⁻¹·E_f⁻²·μ₀
P_p = k₀ · m²·t⁻⁶·E_f⁻²·μ₀
null
0
2
6
12
11
-1.5
false
{"mass": "2", "time": "-6", "pressure": "-1", "efield": "-2", "permeability": "1"}
5
efield,elem_charge,mass,pressure,time
m·t·P_p·E_f·e
constants,em,mechanics
m²·t⁻⁴·P_p⁻¹·E_f⁻¹·e⁻¹
P_p = k₀ · m²·t⁻⁴·E_f⁻¹·e⁻¹
null
1
3
4
9
8.5
0.5
false
{"mass": "2", "time": "-4", "pressure": "-1", "efield": "-1", "elem_charge": "-1"}
5
bfield,mag_flux,mass,pressure,time
m·t·P_p·B·Φ
em,mechanics
m²·t⁻⁴·P_p⁻²·B·Φ⁻¹
B = k₀ · m⁻²·t⁴·P_p²·Φ
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "pressure": "-2", "bfield": "1", "mag_flux": "-1"}
5
bfield,mass,permittivity,pressure,time
m·t·P_p·B·ε
em,mechanics
m²·t⁻⁶·P_p⁻³·B²·ε
ε = k₀ · m⁻²·t⁶·P_p³·B⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "2", "time": "-6", "pressure": "-3", "bfield": "2", "permittivity": "1"}
5
bfield,conductivity,mass,pressure,time
m·t·P_p·B·σ
em,mechanics
m²·t⁻⁵·P_p⁻³·B²·σ
σ = k₀ · m⁻²·t⁵·P_p³·B⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "pressure": "-3", "bfield": "2", "conductivity": "1"}
5
bfield,mass,pressure,resistivity,time
m·t·P_p·B·ρ_e
em,mechanics
m²·t⁻⁵·P_p⁻³·B²·ρ_e⁻¹
ρ_e = k₀ · m²·t⁻⁵·P_p⁻³·B²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "pressure": "-3", "bfield": "2", "resistivity": "-1"}
5
mag_flux,mass,permittivity,pressure,time
m·t·P_p·Φ·ε
em,mechanics
m²·t⁻²·P_p⁻¹·Φ⁻²·ε⁻¹
P_p = k₀ · m²·t⁻²·Φ⁻²·ε⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "pressure": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
mag_flux,mass,permeability,pressure,time
m·t·P_p·Φ·μ₀
em,mechanics
m⁴·t⁻⁸·P_p⁻³·Φ⁻²·μ₀
μ₀ = k₀ · m⁻⁴·t⁸·P_p³·Φ²
null
0
2
8
18
16.2
-6.7
false
{"mass": "4", "time": "-8", "pressure": "-3", "mag_flux": "-2", "permeability": "1"}
5
conductivity,mag_flux,mass,pressure,time
m·t·P_p·Φ·σ
em,mechanics
m²·t⁻³·P_p⁻¹·Φ⁻²·σ⁻¹
P_p = k₀ · m²·t⁻³·Φ⁻²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "pressure": "-1", "mag_flux": "-2", "conductivity": "-1"}
5
mag_flux,mass,pressure,resistivity,time
m·t·P_p·Φ·ρ_e
em,mechanics
m²·t⁻³·P_p⁻¹·Φ⁻²·ρ_e
P_p = k₀ · m²·t⁻³·Φ⁻²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "pressure": "-1", "mag_flux": "-2", "resistivity": "1"}
5
elem_charge,mag_flux,mass,pressure,time
m·t·P_p·Φ·e
constants,em,mechanics
m³·t⁻⁵·P_p⁻²·Φ⁻¹·e⁻¹
Φ = k₀ · m³·t⁻⁵·P_p⁻²·e⁻¹
null
1
3
5
12
11.1
-2.1
false
{"mass": "3", "time": "-5", "pressure": "-2", "mag_flux": "-1", "elem_charge": "-1"}
5
mass,permeability,permittivity,pressure,time
m·t·P_p·ε·μ₀
em,mechanics
m²·t⁻⁶·P_p⁻²·ε·μ₀
ε = k₀ · m⁻²·t⁶·P_p²·μ₀⁻¹
null
0
2
6
12
11
-1.5
false
{"mass": "2", "time": "-6", "pressure": "-2", "permittivity": "1", "permeability": "1"}
5
elem_charge,mass,permittivity,pressure,time
m·t·P_p·ε·e
constants,em,mechanics
m⁴·t⁻⁸·P_p⁻³·ε·e⁻²
ε = k₀ · m⁻⁴·t⁸·P_p³·e²
null
1
3
8
18
16.8
-7.8
false
{"mass": "4", "time": "-8", "pressure": "-3", "permittivity": "1", "elem_charge": "-2"}
5
conductivity,mass,permeability,pressure,time
m·t·P_p·μ₀·σ
em,mechanics
m²·t⁻⁵·P_p⁻²·μ₀·σ
μ₀ = k₀ · m⁻²·t⁵·P_p²·σ⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "pressure": "-2", "permeability": "1", "conductivity": "1"}
5
mass,permeability,pressure,resistivity,time
m·t·P_p·μ₀·ρ_e
em,mechanics
m²·t⁻⁵·P_p⁻²·μ₀·ρ_e⁻¹
μ₀ = k₀ · m⁻²·t⁵·P_p²·ρ_e
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "pressure": "-2", "permeability": "1", "resistivity": "-1"}
5
elem_charge,mass,permeability,pressure,time
m·t·P_p·μ₀·e
constants,em,mechanics
m²·t⁻²·P_p⁻¹·μ₀⁻¹·e⁻²
P_p = k₀ · m²·t⁻²·μ₀⁻¹·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "time": "-2", "pressure": "-1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,mass,pressure,time
m·t·P_p·σ·e
constants,em,mechanics
m⁴·t⁻⁷·P_p⁻³·σ·e⁻²
σ = k₀ · m⁻⁴·t⁷·P_p³·e²
null
1
3
7
17
15.6
-6.6
false
{"mass": "4", "time": "-7", "pressure": "-3", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,pressure,resistivity,time
m·t·P_p·ρ_e·e
constants,em,mechanics
m⁴·t⁻⁷·P_p⁻³·ρ_e⁻¹·e⁻²
ρ_e = k₀ · m⁴·t⁻⁷·P_p⁻³·e⁻²
null
1
3
7
17
15.6
-6.6
false
{"mass": "4", "time": "-7", "pressure": "-3", "resistivity": "-1", "elem_charge": "-2"}
5
amount,concentration,mass,pressure,time
m·t·P_p·n·c_n
chemistry,mechanics
m³·t⁻⁶·P_p⁻³·n⁻¹·c_n
n = k₀ · m³·t⁻⁶·P_p⁻³·c_n
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "pressure": "-3", "amount": "-1", "concentration": "1"}
5
amount,mass,molar_energy,pressure,time
m·t·P_p·n·E_m
chemistry,mechanics
m³·t⁻⁶·P_p⁻²·n⁻¹·E_m⁻¹
n = k₀ · m³·t⁻⁶·P_p⁻²·E_m⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "amount": "-1", "molar_energy": "-1"}
5
concentration,mass,molar_mass,pressure,time
m·t·P_p·M_m·c_n
chemistry,mechanics
m²·t⁻⁶·P_p⁻³·M_m·c_n
M_m = k₀ · m⁻²·t⁶·P_p³·c_n⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "time": "-6", "pressure": "-3", "molar_mass": "1", "concentration": "1"}
5
mass,molar_energy,molar_mass,pressure,time
m·t·P_p·M_m·E_m
chemistry,mechanics
m²·t⁻⁶·P_p⁻²·M_m·E_m⁻¹
M_m = k₀ · m⁻²·t⁶·P_p²·E_m
null
0
2
6
12
11
-1.5
false
{"mass": "2", "time": "-6", "pressure": "-2", "molar_mass": "1", "molar_energy": "-1"}
6
boltzmann,concentration,gas_constant,mass,pressure,time
m·t·P_p·c_n·R·k_B
chemistry,constants,mechanics
m³·t⁻⁶·P_p⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·t⁶·P_p³·R⁻¹·k_B
null
1
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "pressure": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
5
cat_activity,concentration,mass,pressure,time
m·t·P_p·c_n·z
chemistry,mechanics
m³·t⁻⁷·P_p⁻³·c_n·z⁻¹
c_n = k₀ · m⁻³·t⁷·P_p³·z
null
0
2
7
15
13.6
-4.1
false
{"mass": "3", "time": "-7", "pressure": "-3", "concentration": "1", "cat_activity": "-1"}
5
avogadro,concentration,mass,pressure,time
m·t·P_p·c_n·N_A
chemistry,constants,mechanics
m³·t⁻⁶·P_p⁻³·c_n·N_A
c_n = k₀ · m⁻³·t⁶·P_p³·N_A⁻¹
null
1
3
6
14
13
-4
false
{"mass": "3", "time": "-6", "pressure": "-3", "concentration": "1", "avogadro": "1"}
6
boltzmann,gas_constant,mass,molar_energy,pressure,time
m·t·P_p·E_m·R·k_B
chemistry,constants,mechanics
m³·t⁻⁶·P_p⁻²·E_m⁻¹·R·k_B⁻¹
E_m = k₀ · m³·t⁻⁶·P_p⁻²·R·k_B⁻¹
null
1
3
6
14
13.3
-4.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
cat_activity,mass,molar_energy,pressure,time
m·t·P_p·E_m·z
chemistry,mechanics
m³·t⁻⁷·P_p⁻²·E_m⁻¹·z⁻¹
E_m = k₀ · m³·t⁻⁷·P_p⁻²·z⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "3", "time": "-7", "pressure": "-2", "molar_energy": "-1", "cat_activity": "-1"}
5
avogadro,mass,molar_energy,pressure,time
m·t·P_p·E_m·N_A
chemistry,constants,mechanics
m³·t⁻⁶·P_p⁻²·E_m⁻¹·N_A
E_m = k₀ · m³·t⁻⁶·P_p⁻²·N_A
null
1
3
6
13
12.3
-3.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "molar_energy": "-1", "avogadro": "1"}
5
illuminance,lum_intensity,mass,pressure,time
m·t·P_p·I_v·E_v
mechanics,photometry
m²·t⁻⁴·P_p⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·t⁻⁴·P_p⁻²·E_v
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "pressure": "-2", "lum_intensity": "-1", "illuminance": "1"}
5
lum_intensity,luminance,mass,pressure,time
m·t·P_p·I_v·L_v
mechanics,photometry
m²·t⁻⁴·P_p⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·t⁻⁴·P_p⁻²·L_v
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "pressure": "-2", "lum_intensity": "-1", "luminance": "1"}
4
light_speed,mass,pressure,time
m·t·P_p·c₀
constants,mechanics
m·t⁻³·P_p⁻¹·c₀⁻¹
m = k₀ · t³·P_p·c₀
null
1
2
3
6
5
4.5
true
{"mass": "1", "time": "-3", "pressure": "-1", "light_speed": "-1"}
4
grav_const,mass,pressure,time
m·t·P_p·G
constants,mechanics
m²·t⁻⁸·P_p⁻³·G⁻¹
G = k₀ · m²·t⁻⁸·P_p⁻³
null
1
2
8
14
13.1
-3.6
false
{"mass": "2", "time": "-8", "pressure": "-3", "grav_const": "-1"}
4
mass,planck,pressure,time
m·t·P_p·h
constants,mechanics
m³·t⁻⁵·P_p⁻²·h⁻¹
h = k₀ · m³·t⁻⁵·P_p⁻²
null
1
2
5
11
9.5
0
false
{"mass": "3", "time": "-5", "pressure": "-2", "planck": "-1"}
4
density,mass,time,viscosity
m·t·ρ·μ
mechanics
m²·t⁻³·ρ·μ⁻³
ρ = k₀ · m⁻²·t³·μ³
null
0
1
3
9
6.5
3.5
false
{"mass": "2", "time": "-3", "density": "1", "viscosity": "-3"}
4
density,kin_viscosity,mass,time
m·t·ρ·ν
mechanics
m²·t⁻³·ρ⁻²·ν⁻³
m = k₀ · t³ᐟ²·ρ·ν³ᐟ²
null
0
1
3
10
7.2
2.8
false
{"mass": "2", "time": "-3", "density": "-2", "kin_viscosity": "-3"}
4
density,flowrate,mass,time
m·t·ρ·Q
mechanics
m·t⁻¹·ρ⁻¹·Q⁻¹
m = k₀ · t·ρ·Q
null
0
1
1
4
2
8
true
{"mass": "1", "time": "-1", "density": "-1", "flowrate": "-1"}
5
density,entropy,mass,temperature,time
m·t·ρ·Θ·S_e
mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·Θ⁻³·S_e⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·S_e⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "temperature": "-3", "entropy": "-3"}
5
density,heat_capacity,mass,temperature,time
m·t·ρ·Θ·C
mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·Θ⁻³·C⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·C⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "temperature": "-3", "heat_capacity": "-3"}
5
density,mass,specific_heat,temperature,time
m·t·ρ·Θ·c
mechanics,thermo
m²·t⁻⁶·ρ⁻²·Θ⁻³·c⁻³
m = k₀ · t³·ρ·Θ³ᐟ²·c³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "time": "-6", "density": "-2", "temperature": "-3", "specific_heat": "-3"}
5
density,mass,temperature,thermal_cond,time
m·t·ρ·Θ·κ
mechanics,thermo
m⁴·t⁻⁹·ρ⁻¹·Θ⁻³·κ⁻³
ρ = k₀ · m⁴·t⁻⁹·Θ⁻³·κ⁻³
null
0
2
9
20
18.1
-8.6
false
{"mass": "4", "time": "-9", "density": "-1", "temperature": "-3", "thermal_cond": "-3"}
6
amount,density,gas_constant,mass,temperature,time
m·t·ρ·Θ·n·R
chemistry,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·Θ⁻³·n⁻³·R⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
6
22
18.9
-9.9
false
{"mass": "5", "time": "-6", "density": "-2", "temperature": "-3", "amount": "-3", "gas_constant": "-3"}
6
density,gas_constant,mass,molar_mass,temperature,time
m·t·ρ·Θ·M_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·ρ⁻²·Θ⁻³·M_m³·R⁻³
m = k₀ · t³·ρ·Θ³ᐟ²·M_m⁻³ᐟ²·R³ᐟ²
null
0
3
6
19
16.8
-7.8
false
{"mass": "2", "time": "-6", "density": "-2", "temperature": "-3", "molar_mass": "3", "gas_constant": "-3"}
6
concentration,density,gas_constant,mass,temperature,time
m·t·ρ·Θ·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁶·ρ·Θ⁻³·c_n⁻³·R⁻³
ρ = k₀ · m⁻²·t⁶·Θ³·c_n³·R³
null
0
3
6
18
16.1
-7.1
false
{"mass": "2", "time": "-6", "density": "1", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,density,gas_constant,mass,temperature,time
m·t·ρ·Θ·R·z
chemistry,mechanics,thermo
m⁵·t⁻⁹·ρ⁻²·Θ⁻³·R⁻³·z⁻³
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·Θ⁻³ᐟ²·R⁻³ᐟ²·z⁻³ᐟ²
null
0
3
9
25
22.5
-13.5
false
{"mass": "5", "time": "-9", "density": "-2", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,density,gas_constant,mass,temperature,time
m·t·ρ·Θ·R·N_A
chemistry,constants,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·Θ⁻³·R⁻³·N_A³
ρ = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·R⁻³ᐟ²·N_A³ᐟ²
null
1
4
6
22
19.5
-11
false
{"mass": "5", "time": "-6", "density": "-2", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,density,mass,temperature,time
m·t·ρ·Θ·k_B
constants,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·Θ⁻³·k_B⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·k_B⁻³ᐟ²
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "time": "-6", "density": "-2", "temperature": "-3", "boltzmann": "-3"}
5
density,entropy,mass,thermal_cond,time
m·t·ρ·S_e·κ
mechanics,thermo
m·t³·ρ⁻¹·S_e⁻³·κ³
m = k₀ · t⁻³·ρ·S_e³·κ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "3", "density": "-1", "entropy": "-3", "thermal_cond": "3"}
5
density,entropy,expansion,mass,time
m·t·ρ·S_e·β
mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·S_e⁻³·β³
ρ = k₀ · m⁵ᐟ²·t⁻³·S_e⁻³ᐟ²·β³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "entropy": "-3", "expansion": "3"}
6
density,entropy,gas_constant,mass,molar_energy,time
m·t·ρ·S_e·E_m·R
chemistry,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·S_e⁻³·E_m⁻³·R³
ρ = k₀ · m⁵ᐟ²·t⁻³·S_e⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²
null
0
3
6
22
18.9
-9.9
false
{"mass": "5", "time": "-6", "density": "-2", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
density,heat_capacity,mass,thermal_cond,time
m·t·ρ·C·κ
mechanics,thermo
m·t³·ρ⁻¹·C⁻³·κ³
m = k₀ · t⁻³·ρ·C³·κ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "3", "density": "-1", "heat_capacity": "-3", "thermal_cond": "3"}
5
density,expansion,heat_capacity,mass,time
m·t·ρ·C·β
mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·C⁻³·β³
ρ = k₀ · m⁵ᐟ²·t⁻³·C⁻³ᐟ²·β³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "heat_capacity": "-3", "expansion": "3"}
6
density,gas_constant,heat_capacity,mass,molar_energy,time
m·t·ρ·C·E_m·R
chemistry,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·C⁻³·E_m⁻³·R³
ρ = k₀ · m⁵ᐟ²·t⁻³·C⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²
null
0
3
6
22
18.9
-9.9
false
{"mass": "5", "time": "-6", "density": "-2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
density,mass,specific_heat,thermal_cond,time
m·t·ρ·c·κ
mechanics,thermo
m²·t⁻³·ρ·c³·κ⁻³
ρ = k₀ · m⁻²·t³·c⁻³·κ³
null
0
2
3
12
9.5
0
false
{"mass": "2", "time": "-3", "density": "1", "specific_heat": "3", "thermal_cond": "-3"}
5
density,expansion,mass,specific_heat,time
m·t·ρ·c·β
mechanics,thermo
m²·t⁻⁶·ρ⁻²·c⁻³·β³
m = k₀ · t³·ρ·c³ᐟ²·β⁻³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "time": "-6", "density": "-2", "specific_heat": "-3", "expansion": "3"}
6
density,gas_constant,mass,molar_energy,specific_heat,time
m·t·ρ·c·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·ρ⁻²·c⁻³·E_m⁻³·R³
m = k₀ · t³·ρ·c³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
6
19
16.8
-7.8
false
{"mass": "2", "time": "-6", "density": "-2", "specific_heat": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
density,expansion,mass,thermal_cond,time
m·t·ρ·κ·β
mechanics,thermo
m⁴·t⁻⁹·ρ⁻¹·κ⁻³·β³
ρ = k₀ · m⁴·t⁻⁹·κ⁻³·β³
null
0
2
9
20
18.1
-8.6
false
{"mass": "4", "time": "-9", "density": "-1", "thermal_cond": "-3", "expansion": "3"}
6
amount,density,gas_constant,mass,thermal_cond,time
m·t·ρ·κ·n·R
chemistry,mechanics,thermo
m·t³·ρ⁻¹·κ³·n⁻³·R⁻³
m = k₀ · t⁻³·ρ·κ⁻³·n³·R³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "time": "3", "density": "-1", "thermal_cond": "3", "amount": "-3", "gas_constant": "-3"}
6
density,gas_constant,mass,molar_mass,thermal_cond,time
m·t·ρ·κ·M_m·R
chemistry,mechanics,thermo
m²·t⁻³·ρ·κ⁻³·M_m⁻³·R³
ρ = k₀ · m⁻²·t³·κ³·M_m³·R⁻³
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "time": "-3", "density": "1", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
concentration,density,gas_constant,mass,thermal_cond,time
m·t·ρ·κ·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·ρ⁻²·κ⁻³·c_n³·R³
m = k₀ · t³ᐟ²·ρ·κ³ᐟ²·c_n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
3
16
13.2
-4.2
false
{"mass": "2", "time": "-3", "density": "-2", "thermal_cond": "-3", "concentration": "3", "gas_constant": "3"}
6
density,gas_constant,mass,molar_energy,thermal_cond,time
m·t·ρ·κ·E_m·R
chemistry,mechanics,thermo
m⁴·t⁻⁹·ρ⁻¹·κ⁻³·E_m⁻³·R³
ρ = k₀ · m⁴·t⁻⁹·κ⁻³·E_m⁻³·R³
null
0
3
9
23
21.1
-12.1
false
{"mass": "4", "time": "-9", "density": "-1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
avogadro,density,gas_constant,mass,thermal_cond,time
m·t·ρ·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t³·ρ⁻¹·κ³·R⁻³·N_A³
m = k₀ · t⁻³·ρ·κ⁻³·R³·N_A⁻³
null
1
4
3
14
12.4
-3.9
false
{"mass": "1", "time": "3", "density": "-1", "thermal_cond": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,density,mass,thermal_cond,time
m·t·ρ·κ·k_B
constants,mechanics,thermo
m·t³·ρ⁻¹·κ³·k_B⁻³
m = k₀ · t⁻³·ρ·κ⁻³·k_B³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "time": "3", "density": "-1", "thermal_cond": "3", "boltzmann": "-3"}
4
density,mass,thermal_diff,time
m·t·ρ·α
mechanics,thermo
m²·t⁻³·ρ⁻²·α⁻³
m = k₀ · t³ᐟ²·ρ·α³ᐟ²
null
0
2
3
10
7.8
1.7
false
{"mass": "2", "time": "-3", "density": "-2", "thermal_diff": "-3"}