Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
8
keys
stringlengths
10
106
symbols
stringlengths
3
29
domains
stringclasses
62 values
pi
stringlengths
3
46
equation
stringlengths
10
59
name
stringclasses
19 values
n_const
int64
0
4
n_domains
int64
1
6
max_exp
int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
6
amount,density,expansion,gas_constant,mass,time
m·t·ρ·β·n·R
chemistry,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·β³·n⁻³·R⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
6
22
18.9
-9.9
false
{"mass": "5", "time": "-6", "density": "-2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
density,expansion,gas_constant,mass,molar_mass,time
m·t·ρ·β·M_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·ρ⁻²·β³·M_m³·R⁻³
m = k₀ · t³·ρ·β⁻³ᐟ²·M_m⁻³ᐟ²·R³ᐟ²
null
0
3
6
19
16.8
-7.8
false
{"mass": "2", "time": "-6", "density": "-2", "expansion": "3", "molar_mass": "3", "gas_constant": "-3"}
6
concentration,density,expansion,gas_constant,mass,time
m·t·ρ·β·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁶·ρ·β³·c_n⁻³·R⁻³
ρ = k₀ · m⁻²·t⁶·β⁻³·c_n³·R³
null
0
3
6
18
16.1
-7.1
false
{"mass": "2", "time": "-6", "density": "1", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,density,expansion,gas_constant,mass,time
m·t·ρ·β·R·z
chemistry,mechanics,thermo
m⁵·t⁻⁹·ρ⁻²·β³·R⁻³·z⁻³
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·β³ᐟ²·R⁻³ᐟ²·z⁻³ᐟ²
null
0
3
9
25
22.5
-13.5
false
{"mass": "5", "time": "-9", "density": "-2", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,density,expansion,gas_constant,mass,time
m·t·ρ·β·R·N_A
chemistry,constants,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·β³·R⁻³·N_A³
ρ = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·R⁻³ᐟ²·N_A³ᐟ²
null
1
4
6
22
19.5
-11
false
{"mass": "5", "time": "-6", "density": "-2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,density,expansion,mass,time
m·t·ρ·β·k_B
constants,mechanics,thermo
m⁵·t⁻⁶·ρ⁻²·β³·k_B⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·k_B⁻³ᐟ²
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "time": "-6", "density": "-2", "expansion": "3", "boltzmann": "-3"}
5
charge,density,mass,time,voltage
m·t·ρ·q·U
em,mechanics
m⁵·t⁻⁶·ρ⁻²·q⁻³·U⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·q⁻³ᐟ²·U⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "charge": "-3", "voltage": "-3"}
5
charge,density,mass,resistance,time
m·t·ρ·q·R
em,mechanics
m⁵·t⁻³·ρ⁻²·q⁻⁶·R⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·q⁻³·R⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-3", "density": "-2", "charge": "-6", "resistance": "-3"}
5
capacitance,charge,density,mass,time
m·t·ρ·q·C_e
em,mechanics
m⁵·t⁻⁶·ρ⁻²·q⁻⁶·C_e³
ρ = k₀ · m⁵ᐟ²·t⁻³·q⁻³·C_e³ᐟ²
null
0
2
6
22
18
-8.5
false
{"mass": "5", "time": "-6", "density": "-2", "charge": "-6", "capacitance": "3"}
5
charge,density,efield,mass,time
m·t·ρ·q·E_f
em,mechanics
m⁴·t⁻⁶·ρ⁻¹·q⁻³·E_f⁻³
ρ = k₀ · m⁴·t⁻⁶·q⁻³·E_f⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "4", "time": "-6", "density": "-1", "charge": "-3", "efield": "-3"}
5
charge,density,mag_flux,mass,time
m·t·ρ·q·Φ
em,mechanics
m⁵·t⁻³·ρ⁻²·q⁻³·Φ⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·q⁻³ᐟ²·Φ⁻³ᐟ²
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "time": "-3", "density": "-2", "charge": "-3", "mag_flux": "-3"}
5
charge,density,mass,permittivity,time
m·t·ρ·q·ε
em,mechanics
m²·t⁻²·ρ⁻¹·q⁻²·ε
ρ = k₀ · m²·t⁻²·q⁻²·ε
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "density": "-1", "charge": "-2", "permittivity": "1"}
5
charge,conductivity,density,mass,time
m·t·ρ·q·σ
em,mechanics
m²·t⁻¹·ρ⁻¹·q⁻²·σ
t = k₀ · m²·ρ⁻¹·q⁻²·σ
null
0
2
2
7
5.5
4
true
{"mass": "2", "time": "-1", "density": "-1", "charge": "-2", "conductivity": "1"}
5
charge,density,mass,resistivity,time
m·t·ρ·q·ρ_e
em,mechanics
m²·t⁻¹·ρ⁻¹·q⁻²·ρ_e⁻¹
t = k₀ · m²·ρ⁻¹·q⁻²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "time": "-1", "density": "-1", "charge": "-2", "resistivity": "-1"}
5
current,density,mass,time,voltage
m·t·ρ·i·U
em,mechanics
m⁵·t⁻⁹·ρ⁻²·i⁻³·U⁻³
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·i⁻³ᐟ²·U⁻³ᐟ²
null
0
2
9
22
19.5
-10
false
{"mass": "5", "time": "-9", "density": "-2", "current": "-3", "voltage": "-3"}
5
current,density,mass,resistance,time
m·t·ρ·i·R
em,mechanics
m⁵·t⁻⁹·ρ⁻²·i⁻⁶·R⁻³
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·i⁻³·R⁻³ᐟ²
null
0
2
9
25
21.6
-12.1
false
{"mass": "5", "time": "-9", "density": "-2", "current": "-6", "resistance": "-3"}
5
capacitance,current,density,mass,time
m·t·ρ·i·C_e
em,mechanics
m⁵·t⁻¹²·ρ⁻²·i⁻⁶·C_e³
ρ = k₀ · m⁵ᐟ²·t⁻⁶·i⁻³·C_e³ᐟ²
null
0
2
12
28
25.2
-15.7
false
{"mass": "5", "time": "-12", "density": "-2", "current": "-6", "capacitance": "3"}
5
current,density,inductance,mass,time
m·t·ρ·i·L_e
em,mechanics
m⁵·t⁻⁶·ρ⁻²·i⁻⁶·L_e⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·i⁻³·L_e⁻³ᐟ²
null
0
2
6
22
18
-8.5
false
{"mass": "5", "time": "-6", "density": "-2", "current": "-6", "inductance": "-3"}
5
current,density,efield,mass,time
m·t·ρ·i·E_f
em,mechanics
m⁴·t⁻⁹·ρ⁻¹·i⁻³·E_f⁻³
ρ = k₀ · m⁴·t⁻⁹·i⁻³·E_f⁻³
null
0
2
9
20
18.1
-8.6
false
{"mass": "4", "time": "-9", "density": "-1", "current": "-3", "efield": "-3"}
5
current,density,mag_flux,mass,time
m·t·ρ·i·Φ
em,mechanics
m⁵·t⁻⁶·ρ⁻²·i⁻³·Φ⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·i⁻³ᐟ²·Φ⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "current": "-3", "mag_flux": "-3"}
5
current,density,mass,permittivity,time
m·t·ρ·i·ε
em,mechanics
m²·t⁻⁴·ρ⁻¹·i⁻²·ε
ρ = k₀ · m²·t⁻⁴·i⁻²·ε
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "density": "-1", "current": "-2", "permittivity": "1"}
5
current,density,mass,permeability,time
m·t·ρ·i·μ₀
em,mechanics
m⁴·t⁻⁶·ρ⁻¹·i⁻⁶·μ₀⁻³
ρ = k₀ · m⁴·t⁻⁶·i⁻⁶·μ₀⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "4", "time": "-6", "density": "-1", "current": "-6", "permeability": "-3"}
5
conductivity,current,density,mass,time
m·t·ρ·i·σ
em,mechanics
m²·t⁻³·ρ⁻¹·i⁻²·σ
ρ = k₀ · m²·t⁻³·i⁻²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "density": "-1", "current": "-2", "conductivity": "1"}
5
current,density,mass,resistivity,time
m·t·ρ·i·ρ_e
em,mechanics
m²·t⁻³·ρ⁻¹·i⁻²·ρ_e⁻¹
ρ = k₀ · m²·t⁻³·i⁻²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "density": "-1", "current": "-2", "resistivity": "-1"}
5
density,mass,resistance,time,voltage
m·t·ρ·U·R
em,mechanics
m⁵·t⁻⁹·ρ⁻²·U⁻⁶·R³
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·U⁻³·R³ᐟ²
null
0
2
9
25
21.6
-12.1
false
{"mass": "5", "time": "-9", "density": "-2", "voltage": "-6", "resistance": "3"}
5
capacitance,density,mass,time,voltage
m·t·ρ·U·C_e
em,mechanics
m⁵·t⁻⁶·ρ⁻²·U⁻⁶·C_e⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·U⁻³·C_e⁻³ᐟ²
null
0
2
6
22
18
-8.5
false
{"mass": "5", "time": "-6", "density": "-2", "voltage": "-6", "capacitance": "-3"}
5
density,inductance,mass,time,voltage
m·t·ρ·U·L_e
em,mechanics
m⁵·t⁻¹²·ρ⁻²·U⁻⁶·L_e³
ρ = k₀ · m⁵ᐟ²·t⁻⁶·U⁻³·L_e³ᐟ²
null
0
2
12
28
25.2
-15.7
false
{"mass": "5", "time": "-12", "density": "-2", "voltage": "-6", "inductance": "3"}
5
bfield,density,mass,time,voltage
m·t·ρ·U·B
em,mechanics
m²·t⁻³·ρ⁻²·U⁻³·B³
m = k₀ · t³ᐟ²·ρ·U³ᐟ²·B⁻³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "time": "-3", "density": "-2", "voltage": "-3", "bfield": "3"}
5
density,mass,permittivity,time,voltage
m·t·ρ·U·ε
em,mechanics
m⁴·t⁻⁶·ρ⁻¹·U⁻⁶·ε⁻³
ρ = k₀ · m⁴·t⁻⁶·U⁻⁶·ε⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "4", "time": "-6", "density": "-1", "voltage": "-6", "permittivity": "-3"}
5
density,mass,permeability,time,voltage
m·t·ρ·U·μ₀
em,mechanics
m²·t⁻⁴·ρ⁻¹·U⁻²·μ₀
ρ = k₀ · m²·t⁻⁴·U⁻²·μ₀
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "density": "-1", "voltage": "-2", "permeability": "1"}
5
conductivity,density,mass,time,voltage
m·t·ρ·U·σ
em,mechanics
m⁴·t⁻⁹·ρ⁻¹·U⁻⁶·σ⁻³
ρ = k₀ · m⁴·t⁻⁹·U⁻⁶·σ⁻³
null
0
2
9
23
20.2
-10.7
false
{"mass": "4", "time": "-9", "density": "-1", "voltage": "-6", "conductivity": "-3"}
5
density,mass,resistivity,time,voltage
m·t·ρ·U·ρ_e
em,mechanics
m⁴·t⁻⁹·ρ⁻¹·U⁻⁶·ρ_e³
ρ = k₀ · m⁴·t⁻⁹·U⁻⁶·ρ_e³
null
0
2
9
23
20.2
-10.7
false
{"mass": "4", "time": "-9", "density": "-1", "voltage": "-6", "resistivity": "3"}
5
density,elem_charge,mass,time,voltage
m·t·ρ·U·e
constants,em,mechanics
m⁵·t⁻⁶·ρ⁻²·U⁻³·e⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·U⁻³ᐟ²·e⁻³ᐟ²
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "time": "-6", "density": "-2", "voltage": "-3", "elem_charge": "-3"}
5
bfield,density,mass,resistance,time
m·t·ρ·R·B
em,mechanics
m·t⁻³·ρ²·R³·B⁻⁶
m = k₀ · t³·ρ⁻²·R⁻³·B⁶
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "time": "-3", "density": "2", "resistance": "3", "bfield": "-6"}
5
density,mag_flux,mass,resistance,time
m·t·ρ·R·Φ
em,mechanics
m⁵·t⁻³·ρ⁻²·R³·Φ⁻⁶
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·R³ᐟ²·Φ⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-3", "density": "-2", "resistance": "3", "mag_flux": "-6"}
5
density,mass,permittivity,resistance,time
m·t·ρ·R·ε
em,mechanics
m·t⁻³·ρ⁻¹·R³·ε³
m = k₀ · t³·ρ·R⁻³·ε⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "density": "-1", "resistance": "3", "permittivity": "3"}
5
density,mass,permeability,resistance,time
m·t·ρ·R·μ₀
em,mechanics
m·t⁻³·ρ⁻¹·R⁻³·μ₀³
m = k₀ · t³·ρ·R³·μ₀⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "density": "-1", "resistance": "-3", "permeability": "3"}
5
density,elem_charge,mass,resistance,time
m·t·ρ·R·e
constants,em,mechanics
m⁵·t⁻³·ρ⁻²·R⁻³·e⁻⁶
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·R⁻³ᐟ²·e⁻³
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "time": "-3", "density": "-2", "resistance": "-3", "elem_charge": "-6"}
5
capacitance,density,mass,permeability,time
m·t·ρ·C_e·μ₀
em,mechanics
m·t⁻⁶·ρ⁻¹·C_e³·μ₀³
m = k₀ · t⁶·ρ·C_e⁻³·μ₀⁻³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "density": "-1", "capacitance": "3", "permeability": "3"}
5
capacitance,conductivity,density,mass,time
m·t·ρ·C_e·σ
em,mechanics
m·t³·ρ⁻¹·C_e⁻³·σ³
m = k₀ · t⁻³·ρ·C_e³·σ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "3", "density": "-1", "capacitance": "-3", "conductivity": "3"}
5
capacitance,density,mass,resistivity,time
m·t·ρ·C_e·ρ_e
em,mechanics
m·t³·ρ⁻¹·C_e⁻³·ρ_e⁻³
m = k₀ · t⁻³·ρ·C_e³·ρ_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "3", "density": "-1", "capacitance": "-3", "resistivity": "-3"}
5
capacitance,density,elem_charge,mass,time
m·t·ρ·C_e·e
constants,em,mechanics
m⁵·t⁻⁶·ρ⁻²·C_e³·e⁻⁶
ρ = k₀ · m⁵ᐟ²·t⁻³·C_e³ᐟ²·e⁻³
null
1
3
6
22
18.6
-9.6
false
{"mass": "5", "time": "-6", "density": "-2", "capacitance": "3", "elem_charge": "-6"}
5
bfield,density,inductance,mass,time
m·t·ρ·L_e·B
em,mechanics
m·t⁻⁶·ρ²·L_e³·B⁻⁶
m = k₀ · t⁶·ρ⁻²·L_e⁻³·B⁶
null
0
2
6
18
15.2
-5.7
false
{"mass": "1", "time": "-6", "density": "2", "inductance": "3", "bfield": "-6"}
5
density,inductance,mag_flux,mass,time
m·t·ρ·L_e·Φ
em,mechanics
m⁵·t⁻⁶·ρ⁻²·L_e³·Φ⁻⁶
ρ = k₀ · m⁵ᐟ²·t⁻³·L_e³ᐟ²·Φ⁻³
null
0
2
6
22
18
-8.5
false
{"mass": "5", "time": "-6", "density": "-2", "inductance": "3", "mag_flux": "-6"}
5
density,inductance,mass,permittivity,time
m·t·ρ·L_e·ε
em,mechanics
m·t⁻⁶·ρ⁻¹·L_e³·ε³
m = k₀ · t⁶·ρ·L_e⁻³·ε⁻³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "density": "-1", "inductance": "3", "permittivity": "3"}
5
conductivity,density,inductance,mass,time
m·t·ρ·L_e·σ
em,mechanics
m·t⁻³·ρ⁻¹·L_e³·σ³
m = k₀ · t³·ρ·L_e⁻³·σ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "density": "-1", "inductance": "3", "conductivity": "3"}
5
density,inductance,mass,resistivity,time
m·t·ρ·L_e·ρ_e
em,mechanics
m·t⁻³·ρ⁻¹·L_e³·ρ_e⁻³
m = k₀ · t³·ρ·L_e⁻³·ρ_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "density": "-1", "inductance": "3", "resistivity": "-3"}
5
bfield,density,efield,mass,time
m·t·ρ·E_f·B
em,mechanics
m·t⁻³·ρ⁻¹·E_f⁻³·B³
m = k₀ · t³·ρ·E_f³·B⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "density": "-1", "efield": "-3", "bfield": "3"}
5
density,efield,mag_flux,mass,time
m·t·ρ·E_f·Φ
em,mechanics
m·t³·ρ⁻¹·E_f³·Φ⁻³
m = k₀ · t⁻³·ρ·E_f⁻³·Φ³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "3", "density": "-1", "efield": "3", "mag_flux": "-3"}
5
density,efield,mass,permittivity,time
m·t·ρ·E_f·ε
em,mechanics
m²·t⁻⁶·ρ·E_f⁻⁶·ε⁻³
ρ = k₀ · m⁻²·t⁶·E_f⁶·ε³
null
0
2
6
18
15.2
-5.7
false
{"mass": "2", "time": "-6", "density": "1", "efield": "-6", "permittivity": "-3"}
5
density,efield,mass,permeability,time
m·t·ρ·E_f·μ₀
em,mechanics
m⁴·t⁻¹²·ρ⁻¹·E_f⁻⁶·μ₀³
ρ = k₀ · m⁴·t⁻¹²·E_f⁻⁶·μ₀³
null
0
2
12
26
23.8
-14.3
false
{"mass": "4", "time": "-12", "density": "-1", "efield": "-6", "permeability": "3"}
5
conductivity,density,efield,mass,time
m·t·ρ·E_f·σ
em,mechanics
m²·t⁻⁹·ρ·E_f⁻⁶·σ⁻³
ρ = k₀ · m⁻²·t⁹·E_f⁶·σ³
null
0
2
9
21
18.8
-9.3
false
{"mass": "2", "time": "-9", "density": "1", "efield": "-6", "conductivity": "-3"}
5
density,efield,mass,resistivity,time
m·t·ρ·E_f·ρ_e
em,mechanics
m²·t⁻⁹·ρ·E_f⁻⁶·ρ_e³
ρ = k₀ · m⁻²·t⁹·E_f⁶·ρ_e⁻³
null
0
2
9
21
18.8
-9.3
false
{"mass": "2", "time": "-9", "density": "1", "efield": "-6", "resistivity": "3"}
5
density,efield,elem_charge,mass,time
m·t·ρ·E_f·e
constants,em,mechanics
m⁴·t⁻⁶·ρ⁻¹·E_f⁻³·e⁻³
ρ = k₀ · m⁴·t⁻⁶·E_f⁻³·e⁻³
null
1
3
6
17
15.1
-6.1
false
{"mass": "4", "time": "-6", "density": "-1", "efield": "-3", "elem_charge": "-3"}
5
bfield,density,mass,permeability,time
m·t·ρ·B·μ₀
em,mechanics
m²·t⁻⁶·ρ·B⁻⁶·μ₀³
ρ = k₀ · m⁻²·t⁶·B⁶·μ₀⁻³
null
0
2
6
18
15.2
-5.7
false
{"mass": "2", "time": "-6", "density": "1", "bfield": "-6", "permeability": "3"}
5
density,mag_flux,mass,permeability,time
m·t·ρ·Φ·μ₀
em,mechanics
m²·t⁻²·ρ⁻¹·Φ⁻²·μ₀
ρ = k₀ · m²·t⁻²·Φ⁻²·μ₀
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "density": "-1", "mag_flux": "-2", "permeability": "1"}
5
conductivity,density,mag_flux,mass,time
m·t·ρ·Φ·σ
em,mechanics
m⁴·t⁻³·ρ⁻¹·Φ⁻⁶·σ⁻³
ρ = k₀ · m⁴·t⁻³·Φ⁻⁶·σ⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "4", "time": "-3", "density": "-1", "mag_flux": "-6", "conductivity": "-3"}
5
density,mag_flux,mass,resistivity,time
m·t·ρ·Φ·ρ_e
em,mechanics
m⁴·t⁻³·ρ⁻¹·Φ⁻⁶·ρ_e³
ρ = k₀ · m⁴·t⁻³·Φ⁻⁶·ρ_e³
null
0
2
6
17
14.5
-5
false
{"mass": "4", "time": "-3", "density": "-1", "mag_flux": "-6", "resistivity": "3"}
5
density,elem_charge,mag_flux,mass,time
m·t·ρ·Φ·e
constants,em,mechanics
m⁵·t⁻³·ρ⁻²·Φ⁻³·e⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·Φ⁻³ᐟ²·e⁻³ᐟ²
null
1
3
5
16
13.9
-4.9
false
{"mass": "5", "time": "-3", "density": "-2", "mag_flux": "-3", "elem_charge": "-3"}
5
density,mass,permeability,permittivity,time
m·t·ρ·ε·μ₀
em,mechanics
m²·t⁻⁶·ρ⁻²·ε³·μ₀³
m = k₀ · t³·ρ·ε⁻³ᐟ²·μ₀⁻³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "time": "-6", "density": "-2", "permittivity": "3", "permeability": "3"}
5
density,elem_charge,mass,permittivity,time
m·t·ρ·ε·e
constants,em,mechanics
m²·t⁻²·ρ⁻¹·ε·e⁻²
ρ = k₀ · m²·t⁻²·ε·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "time": "-2", "density": "-1", "permittivity": "1", "elem_charge": "-2"}
5
conductivity,density,mass,permeability,time
m·t·ρ·μ₀·σ
em,mechanics
m²·t⁻³·ρ⁻²·μ₀³·σ³
m = k₀ · t³ᐟ²·ρ·μ₀⁻³ᐟ²·σ⁻³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "time": "-3", "density": "-2", "permeability": "3", "conductivity": "3"}
5
density,mass,permeability,resistivity,time
m·t·ρ·μ₀·ρ_e
em,mechanics
m²·t⁻³·ρ⁻²·μ₀³·ρ_e⁻³
m = k₀ · t³ᐟ²·ρ·μ₀⁻³ᐟ²·ρ_e³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "time": "-3", "density": "-2", "permeability": "3", "resistivity": "-3"}
5
conductivity,density,elem_charge,mass,time
m·t·ρ·σ·e
constants,em,mechanics
m²·t⁻¹·ρ⁻¹·σ·e⁻²
t = k₀ · m²·ρ⁻¹·σ·e⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "-1", "density": "-1", "conductivity": "1", "elem_charge": "-2"}
5
density,elem_charge,mass,resistivity,time
m·t·ρ·ρ_e·e
constants,em,mechanics
m²·t⁻¹·ρ⁻¹·ρ_e⁻¹·e⁻²
t = k₀ · m²·ρ⁻¹·ρ_e⁻¹·e⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "-1", "density": "-1", "resistivity": "-1", "elem_charge": "-2"}
5
amount,density,mass,molar_energy,time
m·t·ρ·n·E_m
chemistry,mechanics
m⁵·t⁻⁶·ρ⁻²·n⁻³·E_m⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·n⁻³ᐟ²·E_m⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "time": "-6", "density": "-2", "amount": "-3", "molar_energy": "-3"}
5
density,mass,molar_energy,molar_mass,time
m·t·ρ·M_m·E_m
chemistry,mechanics
m²·t⁻⁶·ρ⁻²·M_m³·E_m⁻³
m = k₀ · t³·ρ·M_m⁻³ᐟ²·E_m³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "time": "-6", "density": "-2", "molar_mass": "3", "molar_energy": "-3"}
5
concentration,density,mass,molar_energy,time
m·t·ρ·c_n·E_m
chemistry,mechanics
m²·t⁻⁶·ρ·c_n⁻³·E_m⁻³
ρ = k₀ · m⁻²·t⁶·c_n³·E_m³
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "time": "-6", "density": "1", "concentration": "-3", "molar_energy": "-3"}
5
cat_activity,concentration,density,mass,time
m·t·ρ·c_n·z
chemistry,mechanics
m·t⁻¹·ρ⁻¹·c_n·z⁻¹
m = k₀ · t·ρ·c_n⁻¹·z
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "density": "-1", "concentration": "1", "cat_activity": "-1"}
6
boltzmann,density,gas_constant,mass,molar_energy,time
m·t·ρ·E_m·R·k_B
chemistry,constants,mechanics
m⁵·t⁻⁶·ρ⁻²·E_m⁻³·R³·k_B⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³·E_m⁻³ᐟ²·R³ᐟ²·k_B⁻³ᐟ²
null
1
3
6
22
18.9
-9.9
false
{"mass": "5", "time": "-6", "density": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
cat_activity,density,mass,molar_energy,time
m·t·ρ·E_m·z
chemistry,mechanics
m⁵·t⁻⁹·ρ⁻²·E_m⁻³·z⁻³
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·E_m⁻³ᐟ²·z⁻³ᐟ²
null
0
2
9
22
19.5
-10
false
{"mass": "5", "time": "-9", "density": "-2", "molar_energy": "-3", "cat_activity": "-3"}
5
avogadro,density,mass,molar_energy,time
m·t·ρ·E_m·N_A
chemistry,constants,mechanics
m⁵·t⁻⁶·ρ⁻²·E_m⁻³·N_A³
ρ = k₀ · m⁵ᐟ²·t⁻³·E_m⁻³ᐟ²·N_A³ᐟ²
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "time": "-6", "density": "-2", "molar_energy": "-3", "avogadro": "3"}
4
density,light_speed,mass,time
m·t·ρ·c₀
constants,mechanics
m·t⁻³·ρ⁻¹·c₀⁻³
m = k₀ · t³·ρ·c₀³
null
1
2
3
8
6.4
3.1
true
{"mass": "1", "time": "-3", "density": "-1", "light_speed": "-3"}
4
density,mass,planck,time
m·t·ρ·h
constants,mechanics
m⁵·t⁻³·ρ⁻²·h⁻³
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·h⁻³ᐟ²
null
1
2
5
13
10.9
-1.4
false
{"mass": "5", "time": "-3", "density": "-2", "planck": "-3"}
4
kin_viscosity,mass,time,viscosity
m·t·μ·ν
mechanics
m²·t⁻³·μ⁻²·ν⁻¹
ν = k₀ · m²·t⁻³·μ⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "2", "time": "-3", "viscosity": "-2", "kin_viscosity": "-1"}
4
area,mass,time,viscosity
m·t·μ·A
mechanics
m²·t⁻²·μ⁻²·A⁻¹
A = k₀ · m²·t⁻²·μ⁻²
null
0
1
2
7
4.6
5.4
true
{"mass": "2", "time": "-2", "viscosity": "-2", "area": "-1"}
4
mass,time,viscosity,volume
m·t·μ·V
mechanics
m³·t⁻³·μ⁻³·V⁻¹
V = k₀ · m³·t⁻³·μ⁻³
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "time": "-3", "viscosity": "-3", "volume": "-1"}
4
flowrate,mass,time,viscosity
m·t·μ·Q
mechanics
m³·t⁻⁴·μ⁻³·Q⁻¹
Q = k₀ · m³·t⁻⁴·μ⁻³
null
0
1
4
11
8.4
1.6
false
{"mass": "3", "time": "-4", "viscosity": "-3", "flowrate": "-1"}
5
entropy,mass,temperature,time,viscosity
m·t·μ·Θ·S_e
mechanics,thermo
m³·t⁻⁴·μ⁻²·Θ⁻¹·S_e⁻¹
Θ = k₀ · m³·t⁻⁴·μ⁻²·S_e⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "time": "-4", "viscosity": "-2", "temperature": "-1", "entropy": "-1"}
5
heat_capacity,mass,temperature,time,viscosity
m·t·μ·Θ·C
mechanics,thermo
m³·t⁻⁴·μ⁻²·Θ⁻¹·C⁻¹
Θ = k₀ · m³·t⁻⁴·μ⁻²·C⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "time": "-4", "viscosity": "-2", "temperature": "-1", "heat_capacity": "-1"}
5
mass,specific_heat,temperature,time,viscosity
m·t·μ·Θ·c
mechanics,thermo
m²·t⁻⁴·μ⁻²·Θ⁻¹·c⁻¹
Θ = k₀ · m²·t⁻⁴·μ⁻²·c⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "viscosity": "-2", "temperature": "-1", "specific_heat": "-1"}
5
mass,temperature,thermal_cond,time,viscosity
m·t·μ·Θ·κ
mechanics,thermo
m²·t⁻⁴·μ⁻¹·Θ⁻¹·κ⁻¹
μ = k₀ · m²·t⁻⁴·Θ⁻¹·κ⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "time": "-4", "viscosity": "-1", "temperature": "-1", "thermal_cond": "-1"}
6
amount,gas_constant,mass,temperature,time,viscosity
m·t·μ·Θ·n·R
chemistry,mechanics,thermo
m³·t⁻⁴·μ⁻²·Θ⁻¹·n⁻¹·R⁻¹
Θ = k₀ · m³·t⁻⁴·μ⁻²·n⁻¹·R⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "3", "time": "-4", "viscosity": "-2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
gas_constant,mass,molar_mass,temperature,time,viscosity
m·t·μ·Θ·M_m·R
chemistry,mechanics,thermo
m²·t⁻⁴·μ⁻²·Θ⁻¹·M_m·R⁻¹
Θ = k₀ · m²·t⁻⁴·μ⁻²·M_m·R⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "viscosity": "-2", "temperature": "-1", "molar_mass": "1", "gas_constant": "-1"}
6
cat_activity,gas_constant,mass,temperature,time,viscosity
m·t·μ·Θ·R·z
chemistry,mechanics,thermo
m³·t⁻⁵·μ⁻²·Θ⁻¹·R⁻¹·z⁻¹
Θ = k₀ · m³·t⁻⁵·μ⁻²·R⁻¹·z⁻¹
null
0
3
5
13
12.1
-3.1
false
{"mass": "3", "time": "-5", "viscosity": "-2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,mass,temperature,time,viscosity
m·t·μ·Θ·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁴·μ⁻²·Θ⁻¹·R⁻¹·N_A
Θ = k₀ · m³·t⁻⁴·μ⁻²·R⁻¹·N_A
null
1
4
4
12
11.5
-3
false
{"mass": "3", "time": "-4", "viscosity": "-2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,mass,temperature,time,viscosity
m·t·μ·Θ·k_B
constants,mechanics,thermo
m³·t⁻⁴·μ⁻²·Θ⁻¹·k_B⁻¹
Θ = k₀ · m³·t⁻⁴·μ⁻²·k_B⁻¹
null
1
3
4
11
9.9
-0.9
false
{"mass": "3", "time": "-4", "viscosity": "-2", "temperature": "-1", "boltzmann": "-1"}
5
entropy,expansion,mass,time,viscosity
m·t·μ·S_e·β
mechanics,thermo
m³·t⁻⁴·μ⁻²·S_e⁻¹·β
S_e = k₀ · m³·t⁻⁴·μ⁻²·β
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "time": "-4", "viscosity": "-2", "entropy": "-1", "expansion": "1"}
6
concentration,entropy,gas_constant,mass,time,viscosity
m·t·μ·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻³·μ⁻³·S_e⁻¹·c_n·R
S_e = k₀ · m³·t⁻³·μ⁻³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "time": "-3", "viscosity": "-3", "entropy": "-1", "concentration": "1", "gas_constant": "1"}
6
entropy,gas_constant,mass,molar_energy,time,viscosity
m·t·μ·S_e·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁴·μ⁻²·S_e⁻¹·E_m⁻¹·R
S_e = k₀ · m³·t⁻⁴·μ⁻²·E_m⁻¹·R
null
0
3
4
12
10.9
-1.9
false
{"mass": "3", "time": "-4", "viscosity": "-2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,heat_capacity,mass,time,viscosity
m·t·μ·C·β
mechanics,thermo
m³·t⁻⁴·μ⁻²·C⁻¹·β
C = k₀ · m³·t⁻⁴·μ⁻²·β
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "time": "-4", "viscosity": "-2", "heat_capacity": "-1", "expansion": "1"}
6
concentration,gas_constant,heat_capacity,mass,time,viscosity
m·t·μ·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻³·μ⁻³·C⁻¹·c_n·R
C = k₀ · m³·t⁻³·μ⁻³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "time": "-3", "viscosity": "-3", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,heat_capacity,mass,molar_energy,time,viscosity
m·t·μ·C·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁴·μ⁻²·C⁻¹·E_m⁻¹·R
C = k₀ · m³·t⁻⁴·μ⁻²·E_m⁻¹·R
null
0
3
4
12
10.9
-1.9
false
{"mass": "3", "time": "-4", "viscosity": "-2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,mass,specific_heat,time,viscosity
m·t·μ·c·β
mechanics,thermo
m²·t⁻⁴·μ⁻²·c⁻¹·β
c = k₀ · m²·t⁻⁴·μ⁻²·β
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "viscosity": "-2", "specific_heat": "-1", "expansion": "1"}
6
concentration,gas_constant,mass,specific_heat,time,viscosity
m·t·μ·c·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·μ⁻³·c⁻¹·c_n·R
c = k₀ · m²·t⁻³·μ⁻³·c_n·R
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "time": "-3", "viscosity": "-3", "specific_heat": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,specific_heat,time,viscosity
m·t·μ·c·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁴·μ⁻²·c⁻¹·E_m⁻¹·R
c = k₀ · m²·t⁻⁴·μ⁻²·E_m⁻¹·R
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "viscosity": "-2", "specific_heat": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,mass,thermal_cond,time,viscosity
m·t·μ·κ·β
mechanics,thermo
m²·t⁻⁴·μ⁻¹·κ⁻¹·β
μ = k₀ · m²·t⁻⁴·κ⁻¹·β
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "time": "-4", "viscosity": "-1", "thermal_cond": "-1", "expansion": "1"}
6
concentration,gas_constant,mass,thermal_cond,time,viscosity
m·t·μ·κ·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·μ⁻²·κ⁻¹·c_n·R
κ = k₀ · m²·t⁻³·μ⁻²·c_n·R
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "viscosity": "-2", "thermal_cond": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,thermal_cond,time,viscosity
m·t·μ·κ·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁴·μ⁻¹·κ⁻¹·E_m⁻¹·R
μ = k₀ · m²·t⁻⁴·κ⁻¹·E_m⁻¹·R
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "time": "-4", "viscosity": "-1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
cat_activity,gas_constant,mass,thermal_cond,time,viscosity
m·t·μ·κ·R·z
chemistry,mechanics,thermo
m·t⁻¹·μ⁻¹·κ·R⁻¹·z⁻¹
m = k₀ · t·μ·κ⁻¹·R·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "viscosity": "-1", "thermal_cond": "1", "gas_constant": "-1", "cat_activity": "-1"}