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
5
kin_viscosity,mass,specific_heat,thermal_cond,time
m·t·ν·c·κ
mechanics,thermo
m²·t⁻³·ν⁻¹·c²·κ⁻²
ν = k₀ · m²·t⁻³·c²·κ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-3", "kin_viscosity": "-1", "specific_heat": "2", "thermal_cond": "-2"}
6
concentration,gas_constant,kin_viscosity,mass,specific_heat,time
m·t·ν·c·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·ν⁻³·c²·c_n⁻²·R⁻²
m = k₀ · t³ᐟ²·ν³ᐟ²·c⁻¹·c_n·R
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "time": "-3", "kin_viscosity": "-3", "specific_heat": "2", "concentration": "-2", "gas_constant": "-2"}
5
expansion,kin_viscosity,mass,thermal_cond,time
m·t·ν·κ·β
mechanics,thermo
m²·t⁻⁵·ν·κ⁻²·β²
ν = k₀ · m⁻²·t⁵·κ²·β⁻²
null
0
2
5
12
10.5
-1
false
{"mass": "2", "time": "-5", "kin_viscosity": "1", "thermal_cond": "-2", "expansion": "2"}
6
gas_constant,kin_viscosity,mass,molar_mass,thermal_cond,time
m·t·ν·κ·M_m·R
chemistry,mechanics,thermo
m²·t⁻³·ν⁻¹·κ⁻²·M_m⁻²·R²
ν = k₀ · m²·t⁻³·κ⁻²·M_m⁻²·R²
null
0
3
3
12
10.4
-1.4
false
{"mass": "2", "time": "-3", "kin_viscosity": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
gas_constant,kin_viscosity,mass,molar_energy,thermal_cond,time
m·t·ν·κ·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁵·ν·κ⁻²·E_m⁻²·R²
ν = k₀ · m⁻²·t⁵·κ²·E_m²·R⁻²
null
0
3
5
14
12.8
-3.8
false
{"mass": "2", "time": "-5", "kin_viscosity": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
amount,expansion,gas_constant,kin_viscosity,mass,time
m·t·ν·β·n·R
chemistry,mechanics,thermo
m·t⁻¹·ν·β·n⁻¹·R⁻¹
m = k₀ · t·ν⁻¹·β⁻¹·n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,expansion,gas_constant,kin_viscosity,mass,time
m·t·ν·β·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁵·ν⁻¹·β²·c_n⁻²·R⁻²
ν = k₀ · m²·t⁻⁵·β²·c_n⁻²·R⁻²
null
0
3
5
14
12.8
-3.8
false
{"mass": "2", "time": "-5", "kin_viscosity": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,expansion,gas_constant,kin_viscosity,mass,time
m·t·ν·β·R·z
chemistry,mechanics,thermo
m·t⁻²·ν·β·R⁻¹·z⁻¹
m = k₀ · t²·ν⁻¹·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "kin_viscosity": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,expansion,gas_constant,kin_viscosity,mass,time
m·t·ν·β·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻¹·ν·β·R⁻¹·N_A
m = k₀ · t·ν⁻¹·β⁻¹·R·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,expansion,kin_viscosity,mass,time
m·t·ν·β·k_B
constants,mechanics,thermo
m·t⁻¹·ν·β·k_B⁻¹
m = k₀ · t·ν⁻¹·β⁻¹·k_B
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "expansion": "1", "boltzmann": "-1"}
5
charge,kin_viscosity,mass,time,voltage
m·t·ν·q·U
em,mechanics
m·t⁻¹·ν·q⁻¹·U⁻¹
m = k₀ · t·ν⁻¹·q·U
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "charge": "-1", "voltage": "-1"}
5
capacitance,charge,kin_viscosity,mass,time
m·t·ν·q·C_e
em,mechanics
m·t⁻¹·ν·q⁻²·C_e
m = k₀ · t·ν⁻¹·q²·C_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "charge": "-2", "capacitance": "1"}
5
charge,inductance,kin_viscosity,mass,time
m·t·ν·q·L_e
em,mechanics
m·t·ν·q⁻²·L_e⁻¹
m = k₀ · t⁻¹·ν⁻¹·q²·L_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "kin_viscosity": "1", "charge": "-2", "inductance": "-1"}
5
charge,efield,kin_viscosity,mass,time
m·t·ν·q·E_f
em,mechanics
m²·t⁻³·ν·q⁻²·E_f⁻²
ν = k₀ · m⁻²·t³·q²·E_f²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-3", "kin_viscosity": "1", "charge": "-2", "efield": "-2"}
5
charge,kin_viscosity,mass,permittivity,time
m·t·ν·q·ε
em,mechanics
m²·t⁻¹·ν³·q⁻⁴·ε²
t = k₀ · m²·ν³·q⁻⁴·ε²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-1", "kin_viscosity": "3", "charge": "-4", "permittivity": "2"}
5
charge,kin_viscosity,mass,permeability,time
m·t·ν·q·μ₀
em,mechanics
m²·t·ν·q⁻⁴·μ₀⁻²
t = k₀ · m⁻²·ν⁻¹·q⁴·μ₀²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "1", "kin_viscosity": "1", "charge": "-4", "permeability": "-2"}
5
charge,conductivity,kin_viscosity,mass,time
m·t·ν·q·σ
em,mechanics
m²·t·ν³·q⁻⁴·σ²
t = k₀ · m⁻²·ν⁻³·q⁴·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "1", "kin_viscosity": "3", "charge": "-4", "conductivity": "2"}
5
charge,kin_viscosity,mass,resistivity,time
m·t·ν·q·ρ_e
em,mechanics
m²·t·ν³·q⁻⁴·ρ_e⁻²
t = k₀ · m⁻²·ν⁻³·q⁴·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "1", "kin_viscosity": "3", "charge": "-4", "resistivity": "-2"}
5
current,kin_viscosity,mass,time,voltage
m·t·ν·i·U
em,mechanics
m·t⁻²·ν·i⁻¹·U⁻¹
m = k₀ · t²·ν⁻¹·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "kin_viscosity": "1", "current": "-1", "voltage": "-1"}
5
current,kin_viscosity,mass,resistance,time
m·t·ν·i·R
em,mechanics
m·t⁻²·ν·i⁻²·R⁻¹
m = k₀ · t²·ν⁻¹·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "kin_viscosity": "1", "current": "-2", "resistance": "-1"}
5
capacitance,current,kin_viscosity,mass,time
m·t·ν·i·C_e
em,mechanics
m·t⁻³·ν·i⁻²·C_e
m = k₀ · t³·ν⁻¹·i²·C_e⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "kin_viscosity": "1", "current": "-2", "capacitance": "1"}
5
current,inductance,kin_viscosity,mass,time
m·t·ν·i·L_e
em,mechanics
m·t⁻¹·ν·i⁻²·L_e⁻¹
m = k₀ · t·ν⁻¹·i²·L_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "current": "-2", "inductance": "-1"}
5
current,efield,kin_viscosity,mass,time
m·t·ν·i·E_f
em,mechanics
m²·t⁻⁵·ν·i⁻²·E_f⁻²
ν = k₀ · m⁻²·t⁵·i²·E_f²
null
0
2
5
12
10.5
-1
false
{"mass": "2", "time": "-5", "kin_viscosity": "1", "current": "-2", "efield": "-2"}
5
current,kin_viscosity,mag_flux,mass,time
m·t·ν·i·Φ
em,mechanics
m·t⁻¹·ν·i⁻¹·Φ⁻¹
m = k₀ · t·ν⁻¹·i·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "current": "-1", "mag_flux": "-1"}
5
current,kin_viscosity,mass,permittivity,time
m·t·ν·i·ε
em,mechanics
m²·t⁻⁵·ν³·i⁻⁴·ε²
m = k₀ · t⁵ᐟ²·ν⁻³ᐟ²·i²·ε⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "2", "time": "-5", "kin_viscosity": "3", "current": "-4", "permittivity": "2"}
5
current,kin_viscosity,mass,permeability,time
m·t·ν·i·μ₀
em,mechanics
m²·t⁻³·ν·i⁻⁴·μ₀⁻²
ν = k₀ · m⁻²·t³·i⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-3", "kin_viscosity": "1", "current": "-4", "permeability": "-2"}
5
conductivity,current,kin_viscosity,mass,time
m·t·ν·i·σ
em,mechanics
m²·t⁻³·ν³·i⁻⁴·σ²
m = k₀ · t³ᐟ²·ν⁻³ᐟ²·i²·σ⁻¹
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "time": "-3", "kin_viscosity": "3", "current": "-4", "conductivity": "2"}
5
current,kin_viscosity,mass,resistivity,time
m·t·ν·i·ρ_e
em,mechanics
m²·t⁻³·ν³·i⁻⁴·ρ_e⁻²
m = k₀ · t³ᐟ²·ν⁻³ᐟ²·i²·ρ_e
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "time": "-3", "kin_viscosity": "3", "current": "-4", "resistivity": "-2"}
5
kin_viscosity,mass,resistance,time,voltage
m·t·ν·U·R
em,mechanics
m·t⁻²·ν·U⁻²·R
m = k₀ · t²·ν⁻¹·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "kin_viscosity": "1", "voltage": "-2", "resistance": "1"}
5
capacitance,kin_viscosity,mass,time,voltage
m·t·ν·U·C_e
em,mechanics
m·t⁻¹·ν·U⁻²·C_e⁻¹
m = k₀ · t·ν⁻¹·U²·C_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "voltage": "-2", "capacitance": "-1"}
5
inductance,kin_viscosity,mass,time,voltage
m·t·ν·U·L_e
em,mechanics
m·t⁻³·ν·U⁻²·L_e
m = k₀ · t³·ν⁻¹·U²·L_e⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "kin_viscosity": "1", "voltage": "-2", "inductance": "1"}
5
kin_viscosity,mass,permittivity,time,voltage
m·t·ν·U·ε
em,mechanics
m²·t⁻³·ν·U⁻⁴·ε⁻²
ν = k₀ · m⁻²·t³·U⁴·ε²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-3", "kin_viscosity": "1", "voltage": "-4", "permittivity": "-2"}
5
kin_viscosity,mass,permeability,time,voltage
m·t·ν·U·μ₀
em,mechanics
m²·t⁻⁵·ν³·U⁻⁴·μ₀²
m = k₀ · t⁵ᐟ²·ν⁻³ᐟ²·U²·μ₀⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "2", "time": "-5", "kin_viscosity": "3", "voltage": "-4", "permeability": "2"}
5
conductivity,kin_viscosity,mass,time,voltage
m·t·ν·U·σ
em,mechanics
m²·t⁻⁵·ν·U⁻⁴·σ⁻²
ν = k₀ · m⁻²·t⁵·U⁴·σ²
null
0
2
5
14
11.9
-2.4
false
{"mass": "2", "time": "-5", "kin_viscosity": "1", "voltage": "-4", "conductivity": "-2"}
5
kin_viscosity,mass,resistivity,time,voltage
m·t·ν·U·ρ_e
em,mechanics
m²·t⁻⁵·ν·U⁻⁴·ρ_e²
ν = k₀ · m⁻²·t⁵·U⁴·ρ_e⁻²
null
0
2
5
14
11.9
-2.4
false
{"mass": "2", "time": "-5", "kin_viscosity": "1", "voltage": "-4", "resistivity": "2"}
5
elem_charge,kin_viscosity,mass,time,voltage
m·t·ν·U·e
constants,em,mechanics
m·t⁻¹·ν·U⁻¹·e⁻¹
m = k₀ · t·ν⁻¹·U·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "voltage": "-1", "elem_charge": "-1"}
5
bfield,kin_viscosity,mass,resistance,time
m·t·ν·R·B
em,mechanics
m·t⁻²·ν⁻¹·R·B⁻²
m = k₀ · t²·ν·R⁻¹·B²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "kin_viscosity": "-1", "resistance": "1", "bfield": "-2"}
5
bfield,capacitance,kin_viscosity,mass,time
m·t·ν·C_e·B
em,mechanics
m·t⁻¹·ν⁻¹·C_e⁻¹·B⁻²
m = k₀ · t·ν·C_e·B²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "kin_viscosity": "-1", "capacitance": "-1", "bfield": "-2"}
5
capacitance,kin_viscosity,mag_flux,mass,time
m·t·ν·C_e·Φ
em,mechanics
m·t·ν·C_e⁻¹·Φ⁻²
m = k₀ · t⁻¹·ν⁻¹·C_e·Φ²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "kin_viscosity": "1", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,elem_charge,kin_viscosity,mass,time
m·t·ν·C_e·e
constants,em,mechanics
m·t⁻¹·ν·C_e·e⁻²
m = k₀ · t·ν⁻¹·C_e⁻¹·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "capacitance": "1", "elem_charge": "-2"}
5
bfield,inductance,kin_viscosity,mass,time
m·t·ν·L_e·B
em,mechanics
m·t⁻³·ν⁻¹·L_e·B⁻²
m = k₀ · t³·ν·L_e⁻¹·B²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "kin_viscosity": "-1", "inductance": "1", "bfield": "-2"}
5
inductance,kin_viscosity,mag_flux,mass,time
m·t·ν·L_e·Φ
em,mechanics
m·t⁻¹·ν·L_e·Φ⁻²
m = k₀ · t·ν⁻¹·L_e⁻¹·Φ²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "inductance": "1", "mag_flux": "-2"}
5
elem_charge,inductance,kin_viscosity,mass,time
m·t·ν·L_e·e
constants,em,mechanics
m·t·ν·L_e⁻¹·e⁻²
m = k₀ · t⁻¹·ν⁻¹·L_e·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "kin_viscosity": "1", "inductance": "-1", "elem_charge": "-2"}
5
efield,kin_viscosity,mass,permittivity,time
m·t·ν·E_f·ε
em,mechanics
m²·t⁻⁵·ν⁻¹·E_f⁻⁴·ε⁻²
ν = k₀ · m²·t⁻⁵·E_f⁻⁴·ε⁻²
null
0
2
5
14
11.9
-2.4
false
{"mass": "2", "time": "-5", "kin_viscosity": "-1", "efield": "-4", "permittivity": "-2"}
5
efield,kin_viscosity,mass,permeability,time
m·t·ν·E_f·μ₀
em,mechanics
m²·t⁻⁷·ν·E_f⁻⁴·μ₀²
ν = k₀ · m⁻²·t⁷·E_f⁴·μ₀⁻²
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "time": "-7", "kin_viscosity": "1", "efield": "-4", "permeability": "2"}
5
conductivity,efield,kin_viscosity,mass,time
m·t·ν·E_f·σ
em,mechanics
m²·t⁻⁷·ν⁻¹·E_f⁻⁴·σ⁻²
ν = k₀ · m²·t⁻⁷·E_f⁻⁴·σ⁻²
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "time": "-7", "kin_viscosity": "-1", "efield": "-4", "conductivity": "-2"}
5
efield,kin_viscosity,mass,resistivity,time
m·t·ν·E_f·ρ_e
em,mechanics
m²·t⁻⁷·ν⁻¹·E_f⁻⁴·ρ_e²
ν = k₀ · m²·t⁻⁷·E_f⁻⁴·ρ_e²
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "time": "-7", "kin_viscosity": "-1", "efield": "-4", "resistivity": "2"}
5
efield,elem_charge,kin_viscosity,mass,time
m·t·ν·E_f·e
constants,em,mechanics
m²·t⁻³·ν·E_f⁻²·e⁻²
ν = k₀ · m⁻²·t³·E_f²·e²
null
1
3
3
10
8.7
0.3
false
{"mass": "2", "time": "-3", "kin_viscosity": "1", "efield": "-2", "elem_charge": "-2"}
5
bfield,kin_viscosity,mass,permittivity,time
m·t·ν·B·ε
em,mechanics
m²·t⁻³·ν⁻³·B⁻⁴·ε⁻²
m = k₀ · t³ᐟ²·ν³ᐟ²·B²·ε
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "time": "-3", "kin_viscosity": "-3", "bfield": "-4", "permittivity": "-2"}
5
bfield,kin_viscosity,mass,permeability,time
m·t·ν·B·μ₀
em,mechanics
m²·t⁻⁵·ν⁻¹·B⁻⁴·μ₀²
ν = k₀ · m²·t⁻⁵·B⁻⁴·μ₀²
null
0
2
5
14
11.9
-2.4
false
{"mass": "2", "time": "-5", "kin_viscosity": "-1", "bfield": "-4", "permeability": "2"}
5
bfield,conductivity,kin_viscosity,mass,time
m·t·ν·B·σ
em,mechanics
m²·t⁻⁵·ν⁻³·B⁻⁴·σ⁻²
m = k₀ · t⁵ᐟ²·ν³ᐟ²·B²·σ
null
0
2
5
16
13.3
-3.8
false
{"mass": "2", "time": "-5", "kin_viscosity": "-3", "bfield": "-4", "conductivity": "-2"}
5
bfield,kin_viscosity,mass,resistivity,time
m·t·ν·B·ρ_e
em,mechanics
m²·t⁻⁵·ν⁻³·B⁻⁴·ρ_e²
m = k₀ · t⁵ᐟ²·ν³ᐟ²·B²·ρ_e⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "2", "time": "-5", "kin_viscosity": "-3", "bfield": "-4", "resistivity": "2"}
5
kin_viscosity,mag_flux,mass,permittivity,time
m·t·ν·Φ·ε
em,mechanics
m²·t·ν·Φ⁻⁴·ε⁻²
t = k₀ · m⁻²·ν⁻¹·Φ⁴·ε²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "1", "kin_viscosity": "1", "mag_flux": "-4", "permittivity": "-2"}
5
kin_viscosity,mag_flux,mass,permeability,time
m·t·ν·Φ·μ₀
em,mechanics
m²·t⁻¹·ν³·Φ⁻⁴·μ₀²
t = k₀ · m²·ν³·Φ⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-1", "kin_viscosity": "3", "mag_flux": "-4", "permeability": "2"}
5
conductivity,kin_viscosity,mag_flux,mass,time
m·t·ν·Φ·σ
em,mechanics
m²·t⁻¹·ν·Φ⁻⁴·σ⁻²
t = k₀ · m²·ν·Φ⁻⁴·σ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-1", "kin_viscosity": "1", "mag_flux": "-4", "conductivity": "-2"}
5
kin_viscosity,mag_flux,mass,resistivity,time
m·t·ν·Φ·ρ_e
em,mechanics
m²·t⁻¹·ν·Φ⁻⁴·ρ_e²
t = k₀ · m²·ν·Φ⁻⁴·ρ_e²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-1", "kin_viscosity": "1", "mag_flux": "-4", "resistivity": "2"}
5
elem_charge,kin_viscosity,mass,permittivity,time
m·t·ν·ε·e
constants,em,mechanics
m²·t⁻¹·ν³·ε²·e⁻⁴
t = k₀ · m²·ν³·ε²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "-1", "kin_viscosity": "3", "permittivity": "2", "elem_charge": "-4"}
5
elem_charge,kin_viscosity,mass,permeability,time
m·t·ν·μ₀·e
constants,em,mechanics
m²·t·ν·μ₀⁻²·e⁻⁴
t = k₀ · m⁻²·ν⁻¹·μ₀²·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "time": "1", "kin_viscosity": "1", "permeability": "-2", "elem_charge": "-4"}
5
conductivity,elem_charge,kin_viscosity,mass,time
m·t·ν·σ·e
constants,em,mechanics
m²·t·ν³·σ²·e⁻⁴
t = k₀ · m⁻²·ν⁻³·σ⁻²·e⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "1", "kin_viscosity": "3", "conductivity": "2", "elem_charge": "-4"}
5
elem_charge,kin_viscosity,mass,resistivity,time
m·t·ν·ρ_e·e
constants,em,mechanics
m²·t·ν³·ρ_e⁻²·e⁻⁴
t = k₀ · m⁻²·ν⁻³·ρ_e²·e⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "1", "kin_viscosity": "3", "resistivity": "-2", "elem_charge": "-4"}
5
amount,kin_viscosity,mass,molar_energy,time
m·t·ν·n·E_m
chemistry,mechanics
m·t⁻¹·ν·n⁻¹·E_m⁻¹
m = k₀ · t·ν⁻¹·n·E_m
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "kin_viscosity": "1", "amount": "-1", "molar_energy": "-1"}
5
concentration,kin_viscosity,mass,molar_mass,time
m·t·ν·M_m·c_n
chemistry,mechanics
m²·t⁻³·ν⁻³·M_m⁻²·c_n⁻²
m = k₀ · t³ᐟ²·ν³ᐟ²·M_m·c_n
null
0
2
3
12
9.5
0
false
{"mass": "2", "time": "-3", "kin_viscosity": "-3", "molar_mass": "-2", "concentration": "-2"}
5
concentration,kin_viscosity,mass,molar_energy,time
m·t·ν·c_n·E_m
chemistry,mechanics
m²·t⁻⁵·ν⁻¹·c_n⁻²·E_m⁻²
ν = k₀ · m²·t⁻⁵·c_n⁻²·E_m⁻²
null
0
2
5
12
10.5
-1
false
{"mass": "2", "time": "-5", "kin_viscosity": "-1", "concentration": "-2", "molar_energy": "-2"}
6
boltzmann,gas_constant,kin_viscosity,mass,molar_energy,time
m·t·ν·E_m·R·k_B
chemistry,constants,mechanics
m·t⁻¹·ν·E_m⁻¹·R·k_B⁻¹
m = k₀ · t·ν⁻¹·E_m·R⁻¹·k_B
null
1
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
cat_activity,kin_viscosity,mass,molar_energy,time
m·t·ν·E_m·z
chemistry,mechanics
m·t⁻²·ν·E_m⁻¹·z⁻¹
m = k₀ · t²·ν⁻¹·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "kin_viscosity": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
avogadro,kin_viscosity,mass,molar_energy,time
m·t·ν·E_m·N_A
chemistry,constants,mechanics
m·t⁻¹·ν·E_m⁻¹·N_A
m = k₀ · t·ν⁻¹·E_m·N_A⁻¹
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "kin_viscosity": "1", "molar_energy": "-1", "avogadro": "1"}
4
grav_const,kin_viscosity,mass,time
m·t·ν·G
constants,mechanics
m²·t·ν⁻³·G²
t = k₀ · m⁻²·ν³·G⁻²
null
1
2
3
8
6.4
3.1
true
{"mass": "2", "time": "1", "kin_viscosity": "-3", "grav_const": "2"}
3
mass,stiffness,time
m·t·k
mechanics
m·t⁻²·k⁻¹
m = k₀ · t²·k
null
0
1
2
4
2.2
7.8
true
{"mass": "1", "time": "-2", "stiffness": "-1"}
3
mass,surf_tension,time
m·t·γ
mechanics
m·t⁻²·γ⁻¹
m = k₀ · t²·γ
null
0
1
2
4
2.2
7.8
true
{"mass": "1", "time": "-2", "surf_tension": "-1"}
5
area,entropy,mass,temperature,time
m·t·A·Θ·S_e
mechanics,thermo
m·t⁻²·A·Θ⁻¹·S_e⁻¹
m = k₀ · t²·A⁻¹·Θ·S_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "temperature": "-1", "entropy": "-1"}
5
area,heat_capacity,mass,temperature,time
m·t·A·Θ·C
mechanics,thermo
m·t⁻²·A·Θ⁻¹·C⁻¹
m = k₀ · t²·A⁻¹·Θ·C
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "temperature": "-1", "heat_capacity": "-1"}
5
area,mass,temperature,thermal_cond,time
m·t·A·Θ·κ
mechanics,thermo
m²·t⁻⁶·A·Θ⁻²·κ⁻²
A = k₀ · m⁻²·t⁶·Θ²·κ²
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "time": "-6", "area": "1", "temperature": "-2", "thermal_cond": "-2"}
6
amount,area,gas_constant,mass,temperature,time
m·t·A·Θ·n·R
chemistry,mechanics,thermo
m·t⁻²·A·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · t²·A⁻¹·Θ·n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "area": "1", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
area,concentration,gas_constant,mass,temperature,time
m·t·A·Θ·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁴·A⁻¹·Θ⁻²·c_n⁻²·R⁻²
A = k₀ · m²·t⁻⁴·Θ⁻²·c_n⁻²·R⁻²
null
0
3
4
13
11.6
-2.6
false
{"mass": "2", "time": "-4", "area": "-1", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
6
area,cat_activity,gas_constant,mass,temperature,time
m·t·A·Θ·R·z
chemistry,mechanics,thermo
m·t⁻³·A·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · t³·A⁻¹·Θ·R·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "area": "1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
area,avogadro,gas_constant,mass,temperature,time
m·t·A·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻²·A·Θ⁻¹·R⁻¹·N_A
m = k₀ · t²·A⁻¹·Θ·R·N_A⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-2", "area": "1", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
area,boltzmann,mass,temperature,time
m·t·A·Θ·k_B
constants,mechanics,thermo
m·t⁻²·A·Θ⁻¹·k_B⁻¹
m = k₀ · t²·A⁻¹·Θ·k_B
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "area": "1", "temperature": "-1", "boltzmann": "-1"}
5
area,entropy,expansion,mass,time
m·t·A·S_e·β
mechanics,thermo
m·t⁻²·A·S_e⁻¹·β
m = k₀ · t²·A⁻¹·S_e·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "entropy": "-1", "expansion": "1"}
6
area,entropy,gas_constant,mass,molar_energy,time
m·t·A·S_e·E_m·R
chemistry,mechanics,thermo
m·t⁻²·A·S_e⁻¹·E_m⁻¹·R
m = k₀ · t²·A⁻¹·S_e·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "area": "1", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
area,expansion,heat_capacity,mass,time
m·t·A·C·β
mechanics,thermo
m·t⁻²·A·C⁻¹·β
m = k₀ · t²·A⁻¹·C·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "heat_capacity": "-1", "expansion": "1"}
6
area,gas_constant,heat_capacity,mass,molar_energy,time
m·t·A·C·E_m·R
chemistry,mechanics,thermo
m·t⁻²·A·C⁻¹·E_m⁻¹·R
m = k₀ · t²·A⁻¹·C·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "area": "1", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
area,mass,specific_heat,thermal_cond,time
m·t·A·c·κ
mechanics,thermo
m²·t⁻²·A⁻¹·c²·κ⁻²
A = k₀ · m²·t⁻²·c²·κ⁻²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "time": "-2", "area": "-1", "specific_heat": "2", "thermal_cond": "-2"}
5
area,expansion,mass,thermal_cond,time
m·t·A·κ·β
mechanics,thermo
m²·t⁻⁶·A·κ⁻²·β²
A = k₀ · m⁻²·t⁶·κ²·β⁻²
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "time": "-6", "area": "1", "thermal_cond": "-2", "expansion": "2"}
6
area,gas_constant,mass,molar_mass,thermal_cond,time
m·t·A·κ·M_m·R
chemistry,mechanics,thermo
m²·t⁻²·A⁻¹·κ⁻²·M_m⁻²·R²
A = k₀ · m²·t⁻²·κ⁻²·M_m⁻²·R²
null
0
3
2
11
9.2
-0.2
false
{"mass": "2", "time": "-2", "area": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
area,gas_constant,mass,molar_energy,thermal_cond,time
m·t·A·κ·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·A·κ⁻²·E_m⁻²·R²
A = k₀ · m⁻²·t⁶·κ²·E_m²·R⁻²
null
0
3
6
15
14
-5
false
{"mass": "2", "time": "-6", "area": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
amount,area,expansion,gas_constant,mass,time
m·t·A·β·n·R
chemistry,mechanics,thermo
m·t⁻²·A·β·n⁻¹·R⁻¹
m = k₀ · t²·A⁻¹·β⁻¹·n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "area": "1", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
area,concentration,expansion,gas_constant,mass,time
m·t·A·β·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁴·A⁻¹·β²·c_n⁻²·R⁻²
A = k₀ · m²·t⁻⁴·β²·c_n⁻²·R⁻²
null
0
3
4
13
11.6
-2.6
false
{"mass": "2", "time": "-4", "area": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
6
area,cat_activity,expansion,gas_constant,mass,time
m·t·A·β·R·z
chemistry,mechanics,thermo
m·t⁻³·A·β·R⁻¹·z⁻¹
m = k₀ · t³·A⁻¹·β⁻¹·R·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "area": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
area,avogadro,expansion,gas_constant,mass,time
m·t·A·β·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻²·A·β·R⁻¹·N_A
m = k₀ · t²·A⁻¹·β⁻¹·R·N_A⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-2", "area": "1", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
area,boltzmann,expansion,mass,time
m·t·A·β·k_B
constants,mechanics,thermo
m·t⁻²·A·β·k_B⁻¹
m = k₀ · t²·A⁻¹·β⁻¹·k_B
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "area": "1", "expansion": "1", "boltzmann": "-1"}
5
area,charge,mass,time,voltage
m·t·A·q·U
em,mechanics
m·t⁻²·A·q⁻¹·U⁻¹
m = k₀ · t²·A⁻¹·q·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "charge": "-1", "voltage": "-1"}
5
area,charge,mass,resistance,time
m·t·A·q·R
em,mechanics
m·t⁻¹·A·q⁻²·R⁻¹
m = k₀ · t·A⁻¹·q²·R
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "area": "1", "charge": "-2", "resistance": "-1"}
5
area,capacitance,charge,mass,time
m·t·A·q·C_e
em,mechanics
m·t⁻²·A·q⁻²·C_e
m = k₀ · t²·A⁻¹·q²·C_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "area": "1", "charge": "-2", "capacitance": "1"}
5
area,charge,efield,mass,time
m·t·A·q·E_f
em,mechanics
m²·t⁻⁴·A·q⁻²·E_f⁻²
A = k₀ · m⁻²·t⁴·q²·E_f²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "time": "-4", "area": "1", "charge": "-2", "efield": "-2"}
5
area,charge,mag_flux,mass,time
m·t·A·q·Φ
em,mechanics
m·t⁻¹·A·q⁻¹·Φ⁻¹
m = k₀ · t·A⁻¹·q·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "area": "1", "charge": "-1", "mag_flux": "-1"}
5
area,charge,mass,permittivity,time
m·t·A·q·ε
em,mechanics
m²·t⁻⁴·A³·q⁻⁴·ε²
m = k₀ · t²·A⁻³ᐟ²·q²·ε⁻¹
null
0
2
4
15
12.1
-2.6
false
{"mass": "2", "time": "-4", "area": "3", "charge": "-4", "permittivity": "2"}
5
area,charge,conductivity,mass,time
m·t·A·q·σ
em,mechanics
m²·t⁻²·A³·q⁻⁴·σ²
m = k₀ · t·A⁻³ᐟ²·q²·σ⁻¹
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-2", "area": "3", "charge": "-4", "conductivity": "2"}
5
area,charge,mass,resistivity,time
m·t·A·q·ρ_e
em,mechanics
m²·t⁻²·A³·q⁻⁴·ρ_e⁻²
m = k₀ · t·A⁻³ᐟ²·q²·ρ_e
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-2", "area": "3", "charge": "-4", "resistivity": "-2"}
5
area,current,mass,time,voltage
m·t·A·i·U
em,mechanics
m·t⁻³·A·i⁻¹·U⁻¹
m = k₀ · t³·A⁻¹·i·U
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "area": "1", "current": "-1", "voltage": "-1"}
5
area,current,mass,resistance,time
m·t·A·i·R
em,mechanics
m·t⁻³·A·i⁻²·R⁻¹
m = k₀ · t³·A⁻¹·i²·R
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "area": "1", "current": "-2", "resistance": "-1"}