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
action,mass,specific_heat,thermal_cond,time
m·t·S·c·κ
mechanics,thermo
m³·t⁻³·S⁻¹·c²·κ⁻²
S = k₀ · m³·t⁻³·c²·κ⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "time": "-3", "action": "-1", "specific_heat": "2", "thermal_cond": "-2"}
5
action,expansion,mass,specific_heat,time
m·t·S·c·β
mechanics,thermo
m·t·S⁻¹·c·β⁻¹
m = k₀ · t⁻¹·S·c⁻¹·β
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "action": "-1", "specific_heat": "1", "expansion": "-1"}
6
action,concentration,gas_constant,mass,specific_heat,time
m·t·S·c·c_n·R
chemistry,mechanics,thermo
m⁵·t⁻³·S⁻³·c²·c_n⁻²·R⁻²
c = k₀ · m⁻⁵ᐟ²·t³ᐟ²·S³ᐟ²·c_n·R
null
0
3
5
17
14.9
-5.9
false
{"mass": "5", "time": "-3", "action": "-3", "specific_heat": "2", "concentration": "-2", "gas_constant": "-2"}
6
action,gas_constant,mass,molar_energy,specific_heat,time
m·t·S·c·E_m·R
chemistry,mechanics,thermo
m·t·S⁻¹·c·E_m·R⁻¹
m = k₀ · t⁻¹·S·c⁻¹·E_m⁻¹·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "action": "-1", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"}
5
action,expansion,mass,thermal_cond,time
m·t·S·κ·β
mechanics,thermo
m·t⁻⁵·S·κ⁻²·β²
m = k₀ · t⁵·S⁻¹·κ²·β⁻²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "action": "1", "thermal_cond": "-2", "expansion": "2"}
6
action,amount,gas_constant,mass,thermal_cond,time
m·t·S·κ·n·R
chemistry,mechanics,thermo
m·t⁻³·S⁻¹·κ⁻²·n²·R²
m = k₀ · t³·S·κ²·n⁻²·R⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "action": "-1", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
action,gas_constant,mass,molar_mass,thermal_cond,time
m·t·S·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻³·S⁻¹·κ⁻²·M_m⁻²·R²
S = k₀ · m³·t⁻³·κ⁻²·M_m⁻²·R²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "time": "-3", "action": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
action,gas_constant,mass,molar_energy,thermal_cond,time
m·t·S·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻⁵·S·κ⁻²·E_m⁻²·R²
m = k₀ · t⁵·S⁻¹·κ²·E_m²·R⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "action": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
action,cat_activity,gas_constant,mass,thermal_cond,time
m·t·S·κ·R·z
chemistry,mechanics,thermo
m·t⁻¹·S⁻¹·κ⁻²·R²·z²
m = k₀ · t·S·κ²·R⁻²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-1", "action": "-1", "thermal_cond": "-2", "gas_constant": "2", "cat_activity": "2"}
6
action,avogadro,gas_constant,mass,thermal_cond,time
m·t·S·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻³·S⁻¹·κ⁻²·R²·N_A⁻²
m = k₀ · t³·S·κ²·R⁻²·N_A²
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "time": "-3", "action": "-1", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
action,boltzmann,mass,thermal_cond,time
m·t·S·κ·k_B
constants,mechanics,thermo
m·t⁻³·S⁻¹·κ⁻²·k_B²
m = k₀ · t³·S·κ²·k_B⁻²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "action": "-1", "thermal_cond": "-2", "boltzmann": "2"}
6
action,expansion,gas_constant,mass,molar_mass,time
m·t·S·β·M_m·R
chemistry,mechanics,thermo
m·t·S⁻¹·β⁻¹·M_m⁻¹·R
m = k₀ · t⁻¹·S·β·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "action": "-1", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
action,concentration,expansion,gas_constant,mass,time
m·t·S·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁵·S⁻¹·β²·c_n⁻²·R⁻²
S = k₀ · m³·t⁻⁵·β²·c_n⁻²·R⁻²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "action": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
5
action,charge,efield,mass,time
m·t·S·q·E_f
em,mechanics
m·t⁻³·S·q⁻²·E_f⁻²
m = k₀ · t³·S⁻¹·q²·E_f²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "action": "1", "charge": "-2", "efield": "-2"}
5
action,charge,mass,permittivity,time
m·t·S·q·ε
em,mechanics
m·t·S⁻³·q⁴·ε⁻²
m = k₀ · t⁻¹·S³·q⁻⁴·ε²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "1", "action": "-3", "charge": "4", "permittivity": "-2"}
5
action,charge,mass,permeability,time
m·t·S·q·μ₀
em,mechanics
m·t·S·q⁻⁴·μ₀⁻²
m = k₀ · t⁻¹·S⁻¹·q⁴·μ₀²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "1", "action": "1", "charge": "-4", "permeability": "-2"}
5
action,charge,conductivity,mass,time
m·t·S·q·σ
em,mechanics
m·t⁻¹·S⁻³·q⁴·σ⁻²
m = k₀ · t·S³·q⁻⁴·σ²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-1", "action": "-3", "charge": "4", "conductivity": "-2"}
5
action,charge,mass,resistivity,time
m·t·S·q·ρ_e
em,mechanics
m·t⁻¹·S⁻³·q⁴·ρ_e²
m = k₀ · t·S³·q⁻⁴·ρ_e⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-1", "action": "-3", "charge": "4", "resistivity": "2"}
5
action,current,efield,mass,time
m·t·S·i·E_f
em,mechanics
m·t⁻⁵·S·i⁻²·E_f⁻²
m = k₀ · t⁵·S⁻¹·i²·E_f²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "action": "1", "current": "-2", "efield": "-2"}
5
action,current,mass,permittivity,time
m·t·S·i·ε
em,mechanics
m·t⁵·S⁻³·i⁴·ε⁻²
m = k₀ · t⁻⁵·S³·i⁻⁴·ε²
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "time": "5", "action": "-3", "current": "4", "permittivity": "-2"}
5
action,current,mass,permeability,time
m·t·S·i·μ₀
em,mechanics
m·t⁻³·S·i⁻⁴·μ₀⁻²
m = k₀ · t³·S⁻¹·i⁴·μ₀²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-3", "action": "1", "current": "-4", "permeability": "-2"}
5
action,conductivity,current,mass,time
m·t·S·i·σ
em,mechanics
m·t³·S⁻³·i⁴·σ⁻²
m = k₀ · t⁻³·S³·i⁻⁴·σ²
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "time": "3", "action": "-3", "current": "4", "conductivity": "-2"}
5
action,current,mass,resistivity,time
m·t·S·i·ρ_e
em,mechanics
m·t³·S⁻³·i⁴·ρ_e²
m = k₀ · t⁻³·S³·i⁻⁴·ρ_e⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "time": "3", "action": "-3", "current": "4", "resistivity": "2"}
5
action,efield,mass,time,voltage
m·t·S·U·E_f
em,mechanics
m·t⁻¹·S⁻¹·U²·E_f⁻²
m = k₀ · t·S·U⁻²·E_f²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "action": "-1", "voltage": "2", "efield": "-2"}
5
action,mass,permittivity,time,voltage
m·t·S·U·ε
em,mechanics
m·t⁻³·S·U⁻⁴·ε⁻²
m = k₀ · t³·S⁻¹·U⁴·ε²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-3", "action": "1", "voltage": "-4", "permittivity": "-2"}
5
action,mass,permeability,time,voltage
m·t·S·U·μ₀
em,mechanics
m·t⁵·S⁻³·U⁴·μ₀⁻²
m = k₀ · t⁻⁵·S³·U⁻⁴·μ₀²
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "time": "5", "action": "-3", "voltage": "4", "permeability": "-2"}
5
action,conductivity,mass,time,voltage
m·t·S·U·σ
em,mechanics
m·t⁻⁵·S·U⁻⁴·σ⁻²
m = k₀ · t⁵·S⁻¹·U⁴·σ²
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "time": "-5", "action": "1", "voltage": "-4", "conductivity": "-2"}
5
action,mass,resistivity,time,voltage
m·t·S·U·ρ_e
em,mechanics
m·t⁻⁵·S·U⁻⁴·ρ_e²
m = k₀ · t⁵·S⁻¹·U⁴·ρ_e⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "time": "-5", "action": "1", "voltage": "-4", "resistivity": "2"}
5
action,bfield,mass,resistance,time
m·t·S·R·B
em,mechanics
m²·t⁻²·S⁻¹·R·B⁻²
S = k₀ · m²·t⁻²·R·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "action": "-1", "resistance": "1", "bfield": "-2"}
5
action,mass,permittivity,resistance,time
m·t·S·R·ε
em,mechanics
m·t·S⁻¹·R⁻²·ε⁻²
m = k₀ · t⁻¹·S·R²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "action": "-1", "resistance": "-2", "permittivity": "-2"}
5
action,mass,permeability,resistance,time
m·t·S·R·μ₀
em,mechanics
m·t·S⁻¹·R²·μ₀⁻²
m = k₀ · t⁻¹·S·R⁻²·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "action": "-1", "resistance": "2", "permeability": "-2"}
5
action,conductivity,mass,resistance,time
m·t·S·R·σ
em,mechanics
m·t⁻¹·S⁻¹·R⁻²·σ⁻²
m = k₀ · t·S·R²·σ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "action": "-1", "resistance": "-2", "conductivity": "-2"}
5
action,mass,resistance,resistivity,time
m·t·S·R·ρ_e
em,mechanics
m·t⁻¹·S⁻¹·R⁻²·ρ_e²
m = k₀ · t·S·R²·ρ_e⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "action": "-1", "resistance": "-2", "resistivity": "2"}
5
action,bfield,capacitance,mass,time
m·t·S·C_e·B
em,mechanics
m²·t⁻¹·S⁻¹·C_e⁻¹·B⁻²
t = k₀ · m²·S⁻¹·C_e⁻¹·B⁻²
null
0
2
2
7
5.5
4
true
{"mass": "2", "time": "-1", "action": "-1", "capacitance": "-1", "bfield": "-2"}
5
action,capacitance,mass,permittivity,time
m·t·S·C_e·ε
em,mechanics
m·t⁻¹·S⁻¹·C_e²·ε⁻²
m = k₀ · t·S·C_e⁻²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "action": "-1", "capacitance": "2", "permittivity": "-2"}
5
action,capacitance,mass,permeability,time
m·t·S·C_e·μ₀
em,mechanics
m·t³·S⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · t⁻³·S·C_e²·μ₀²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "action": "-1", "capacitance": "-2", "permeability": "-2"}
5
action,capacitance,conductivity,mass,time
m·t·S·C_e·σ
em,mechanics
m·t⁻³·S⁻¹·C_e²·σ⁻²
m = k₀ · t³·S·C_e⁻²·σ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "action": "-1", "capacitance": "2", "conductivity": "-2"}
5
action,capacitance,mass,resistivity,time
m·t·S·C_e·ρ_e
em,mechanics
m·t⁻³·S⁻¹·C_e²·ρ_e²
m = k₀ · t³·S·C_e⁻²·ρ_e⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "action": "-1", "capacitance": "2", "resistivity": "2"}
5
action,bfield,inductance,mass,time
m·t·S·L_e·B
em,mechanics
m²·t⁻³·S⁻¹·L_e·B⁻²
S = k₀ · m²·t⁻³·L_e·B⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "action": "-1", "inductance": "1", "bfield": "-2"}
5
action,inductance,mass,permittivity,time
m·t·S·L_e·ε
em,mechanics
m·t³·S⁻¹·L_e⁻²·ε⁻²
m = k₀ · t⁻³·S·L_e²·ε²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "action": "-1", "inductance": "-2", "permittivity": "-2"}
5
action,inductance,mass,permeability,time
m·t·S·L_e·μ₀
em,mechanics
m·t⁻¹·S⁻¹·L_e²·μ₀⁻²
m = k₀ · t·S·L_e⁻²·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "action": "-1", "inductance": "2", "permeability": "-2"}
5
action,conductivity,inductance,mass,time
m·t·S·L_e·σ
em,mechanics
m·t·S⁻¹·L_e⁻²·σ⁻²
m = k₀ · t⁻¹·S·L_e²·σ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "action": "-1", "inductance": "-2", "conductivity": "-2"}
5
action,inductance,mass,resistivity,time
m·t·S·L_e·ρ_e
em,mechanics
m·t·S⁻¹·L_e⁻²·ρ_e²
m = k₀ · t⁻¹·S·L_e²·ρ_e⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "action": "-1", "inductance": "-2", "resistivity": "2"}
5
action,bfield,efield,mass,time
m·t·S·E_f·B
em,mechanics
m·t·S⁻¹·E_f²·B⁻²
m = k₀ · t⁻¹·S·E_f⁻²·B²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "action": "-1", "efield": "2", "bfield": "-2"}
5
action,efield,mag_flux,mass,time
m·t·S·E_f·Φ
em,mechanics
m·t⁻³·S⁻¹·E_f⁻²·Φ²
m = k₀ · t³·S·E_f²·Φ⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "action": "-1", "efield": "-2", "mag_flux": "2"}
5
action,efield,mass,permittivity,time
m·t·S·E_f·ε
em,mechanics
m³·t⁻⁵·S⁻¹·E_f⁻⁴·ε⁻²
S = k₀ · m³·t⁻⁵·E_f⁻⁴·ε⁻²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "time": "-5", "action": "-1", "efield": "-4", "permittivity": "-2"}
5
action,efield,mass,permeability,time
m·t·S·E_f·μ₀
em,mechanics
m·t⁻⁷·S·E_f⁻⁴·μ₀²
m = k₀ · t⁷·S⁻¹·E_f⁴·μ₀⁻²
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "time": "-7", "action": "1", "efield": "-4", "permeability": "2"}
5
action,conductivity,efield,mass,time
m·t·S·E_f·σ
em,mechanics
m³·t⁻⁷·S⁻¹·E_f⁻⁴·σ⁻²
S = k₀ · m³·t⁻⁷·E_f⁻⁴·σ⁻²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "action": "-1", "efield": "-4", "conductivity": "-2"}
5
action,efield,mass,resistivity,time
m·t·S·E_f·ρ_e
em,mechanics
m³·t⁻⁷·S⁻¹·E_f⁻⁴·ρ_e²
S = k₀ · m³·t⁻⁷·E_f⁻⁴·ρ_e²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "action": "-1", "efield": "-4", "resistivity": "2"}
5
action,efield,elem_charge,mass,time
m·t·S·E_f·e
constants,em,mechanics
m·t⁻³·S·E_f⁻²·e⁻²
m = k₀ · t³·S⁻¹·E_f²·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "action": "1", "efield": "-2", "elem_charge": "-2"}
5
action,bfield,mag_flux,mass,time
m·t·S·B·Φ
em,mechanics
m·t⁻¹·S⁻¹·B⁻¹·Φ
m = k₀ · t·S·B·Φ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "action": "-1", "bfield": "-1", "mag_flux": "1"}
5
action,bfield,mass,permittivity,time
m·t·S·B·ε
em,mechanics
m⁵·t⁻³·S⁻³·B⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·t⁻³ᐟ²·S⁻³ᐟ²·B⁻²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "time": "-3", "action": "-3", "bfield": "-4", "permittivity": "-2"}
5
action,bfield,mass,permeability,time
m·t·S·B·μ₀
em,mechanics
m³·t⁻⁵·S⁻¹·B⁻⁴·μ₀²
S = k₀ · m³·t⁻⁵·B⁻⁴·μ₀²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "time": "-5", "action": "-1", "bfield": "-4", "permeability": "2"}
5
action,bfield,conductivity,mass,time
m·t·S·B·σ
em,mechanics
m⁵·t⁻⁵·S⁻³·B⁻⁴·σ⁻²
σ = k₀ · m⁵ᐟ²·t⁻⁵ᐟ²·S⁻³ᐟ²·B⁻²
null
0
2
5
19
15.4
-5.9
false
{"mass": "5", "time": "-5", "action": "-3", "bfield": "-4", "conductivity": "-2"}
5
action,bfield,mass,resistivity,time
m·t·S·B·ρ_e
em,mechanics
m⁵·t⁻⁵·S⁻³·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·S³ᐟ²·B²
null
0
2
5
19
15.4
-5.9
false
{"mass": "5", "time": "-5", "action": "-3", "bfield": "-4", "resistivity": "2"}
5
action,mag_flux,mass,permittivity,time
m·t·S·Φ·ε
em,mechanics
m·t·S·Φ⁻⁴·ε⁻²
m = k₀ · t⁻¹·S⁻¹·Φ⁴·ε²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "1", "action": "1", "mag_flux": "-4", "permittivity": "-2"}
5
action,mag_flux,mass,permeability,time
m·t·S·Φ·μ₀
em,mechanics
m·t·S⁻³·Φ⁴·μ₀⁻²
m = k₀ · t⁻¹·S³·Φ⁻⁴·μ₀²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "1", "action": "-3", "mag_flux": "4", "permeability": "-2"}
5
action,conductivity,mag_flux,mass,time
m·t·S·Φ·σ
em,mechanics
m·t⁻¹·S·Φ⁻⁴·σ⁻²
m = k₀ · t·S⁻¹·Φ⁴·σ²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-1", "action": "1", "mag_flux": "-4", "conductivity": "-2"}
5
action,mag_flux,mass,resistivity,time
m·t·S·Φ·ρ_e
em,mechanics
m·t⁻¹·S·Φ⁻⁴·ρ_e²
m = k₀ · t·S⁻¹·Φ⁴·ρ_e⁻²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-1", "action": "1", "mag_flux": "-4", "resistivity": "2"}
5
action,mass,permeability,permittivity,time
m·t·S·ε·μ₀
em,mechanics
m·t·S⁻¹·ε⁻¹·μ₀⁻¹
m = k₀ · t⁻¹·S·ε·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "action": "-1", "permittivity": "-1", "permeability": "-1"}
5
action,elem_charge,mass,permittivity,time
m·t·S·ε·e
constants,em,mechanics
m·t·S⁻³·ε⁻²·e⁴
m = k₀ · t⁻¹·S³·ε²·e⁻⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "1", "action": "-3", "permittivity": "-2", "elem_charge": "4"}
5
action,elem_charge,mass,permeability,time
m·t·S·μ₀·e
constants,em,mechanics
m·t·S·μ₀⁻²·e⁻⁴
m = k₀ · t⁻¹·S⁻¹·μ₀²·e⁴
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "time": "1", "action": "1", "permeability": "-2", "elem_charge": "-4"}
5
action,conductivity,elem_charge,mass,time
m·t·S·σ·e
constants,em,mechanics
m·t⁻¹·S⁻³·σ⁻²·e⁴
m = k₀ · t·S³·σ²·e⁻⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-1", "action": "-3", "conductivity": "-2", "elem_charge": "4"}
5
action,elem_charge,mass,resistivity,time
m·t·S·ρ_e·e
constants,em,mechanics
m·t⁻¹·S⁻³·ρ_e²·e⁴
m = k₀ · t·S³·ρ_e⁻²·e⁻⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-1", "action": "-3", "resistivity": "2", "elem_charge": "4"}
5
action,amount,concentration,mass,time
m·t·S·n·c_n
chemistry,mechanics
m³·t⁻³·S⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³ᐟ²·S³ᐟ²·c_n
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "time": "-3", "action": "-3", "amount": "2", "concentration": "-2"}
5
action,concentration,mass,molar_mass,time
m·t·S·M_m·c_n
chemistry,mechanics
m⁵·t⁻³·S⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·S⁻³ᐟ²·c_n⁻¹
null
0
2
5
15
12.6
-3.1
false
{"mass": "5", "time": "-3", "action": "-3", "molar_mass": "-2", "concentration": "-2"}
5
action,mass,molar_energy,molar_mass,time
m·t·S·M_m·E_m
chemistry,mechanics
m·t·S⁻¹·M_m⁻¹·E_m
m = k₀ · t⁻¹·S·M_m·E_m⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "action": "-1", "molar_mass": "-1", "molar_energy": "1"}
5
action,concentration,mass,molar_energy,time
m·t·S·c_n·E_m
chemistry,mechanics
m³·t⁻⁵·S⁻¹·c_n⁻²·E_m⁻²
S = k₀ · m³·t⁻⁵·c_n⁻²·E_m⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "action": "-1", "concentration": "-2", "molar_energy": "-2"}
6
action,boltzmann,concentration,gas_constant,mass,time
m·t·S·c_n·R·k_B
chemistry,constants,mechanics
m³·t⁻³·S⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·S⁻³ᐟ²·R⁻¹·k_B
null
1
3
3
15
12.5
-3.5
false
{"mass": "3", "time": "-3", "action": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
5
action,cat_activity,concentration,mass,time
m·t·S·c_n·z
chemistry,mechanics
m³·t⁻¹·S⁻³·c_n⁻²·z²
t = k₀ · m³·S⁻³·c_n⁻²·z²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "time": "-1", "action": "-3", "concentration": "-2", "cat_activity": "2"}
5
action,avogadro,concentration,mass,time
m·t·S·c_n·N_A
chemistry,constants,mechanics
m³·t⁻³·S⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·S⁻³ᐟ²·N_A⁻¹
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "time": "-3", "action": "-3", "concentration": "-2", "avogadro": "-2"}
5
action,illuminance,lum_intensity,mass,time
m·t·S·I_v·E_v
mechanics,photometry
m·t⁻¹·S⁻¹·I_v·E_v⁻¹
m = k₀ · t·S·I_v⁻¹·E_v
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "action": "-1", "lum_intensity": "1", "illuminance": "-1"}
5
action,lum_intensity,luminance,mass,time
m·t·S·I_v·L_v
mechanics,photometry
m·t⁻¹·S⁻¹·I_v·L_v⁻¹
m = k₀ · t·S·I_v⁻¹·L_v
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "action": "-1", "lum_intensity": "1", "luminance": "-1"}
4
action,light_speed,mass,time
m·t·S·c₀
constants,mechanics
m·t·S⁻¹·c₀²
m = k₀ · t⁻¹·S·c₀⁻²
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "time": "1", "action": "-1", "light_speed": "2"}
4
action,grav_const,mass,time
m·t·S·G
constants,mechanics
m⁵·t·S⁻³·G²
t = k₀ · m⁻⁵·S³·G⁻²
null
1
2
5
11
9.5
0
false
{"mass": "5", "time": "1", "action": "-3", "grav_const": "2"}
4
inertia,mass,pressure,time
m·t·J·P_p
mechanics
m³·t⁻⁴·J⁻¹·P_p⁻²
J = k₀ · m³·t⁻⁴·P_p⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "time": "-4", "inertia": "-1", "pressure": "-2"}
4
inertia,mass,time,viscosity
m·t·J·μ
mechanics
m³·t⁻²·J⁻¹·μ⁻²
J = k₀ · m³·t⁻²·μ⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "3", "time": "-2", "inertia": "-1", "viscosity": "-2"}
4
inertia,kin_viscosity,mass,time
m·t·J·ν
mechanics
m·t·J⁻¹·ν
m = k₀ · t⁻¹·J·ν⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "time": "1", "inertia": "-1", "kin_viscosity": "1"}
4
flowrate,inertia,mass,time
m·t·J·Q
mechanics
m³·t²·J⁻³·Q²
t = k₀ · m⁻³ᐟ²·J³ᐟ²·Q⁻¹
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "time": "2", "inertia": "-3", "flowrate": "2"}
5
inertia,mass,specific_heat,temperature,time
m·t·J·Θ·c
mechanics,thermo
m·t²·J⁻¹·Θ·c
m = k₀ · t⁻²·J·Θ⁻¹·c⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "2", "inertia": "-1", "temperature": "1", "specific_heat": "1"}
5
inertia,mass,temperature,thermal_cond,time
m·t·J·Θ·κ
mechanics,thermo
m·t⁻⁶·J·Θ⁻²·κ⁻²
m = k₀ · t⁶·J⁻¹·Θ²·κ²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "inertia": "1", "temperature": "-2", "thermal_cond": "-2"}
6
gas_constant,inertia,mass,molar_mass,temperature,time
m·t·J·Θ·M_m·R
chemistry,mechanics,thermo
m·t²·J⁻¹·Θ·M_m⁻¹·R
m = k₀ · t⁻²·J·Θ⁻¹·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "2", "inertia": "-1", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,gas_constant,inertia,mass,temperature,time
m·t·J·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁴·J⁻¹·Θ⁻²·c_n⁻²·R⁻²
J = k₀ · m³·t⁻⁴·Θ⁻²·c_n⁻²·R⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "inertia": "-1", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
5
entropy,inertia,mass,thermal_cond,time
m·t·J·S_e·κ
mechanics,thermo
m·t⁻²·J⁻¹·S_e²·κ⁻²
m = k₀ · t²·J·S_e⁻²·κ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "inertia": "-1", "entropy": "2", "thermal_cond": "-2"}
5
heat_capacity,inertia,mass,thermal_cond,time
m·t·J·C·κ
mechanics,thermo
m·t⁻²·J⁻¹·C²·κ⁻²
m = k₀ · t²·J·C⁻²·κ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "inertia": "-1", "heat_capacity": "2", "thermal_cond": "-2"}
5
inertia,mass,specific_heat,thermal_cond,time
m·t·J·c·κ
mechanics,thermo
m³·t⁻²·J⁻¹·c²·κ⁻²
J = k₀ · m³·t⁻²·c²·κ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "time": "-2", "inertia": "-1", "specific_heat": "2", "thermal_cond": "-2"}
5
expansion,inertia,mass,specific_heat,time
m·t·J·c·β
mechanics,thermo
m·t²·J⁻¹·c·β⁻¹
m = k₀ · t⁻²·J·c⁻¹·β
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "2", "inertia": "-1", "specific_heat": "1", "expansion": "-1"}
6
gas_constant,inertia,mass,molar_energy,specific_heat,time
m·t·J·c·E_m·R
chemistry,mechanics,thermo
m·t²·J⁻¹·c·E_m·R⁻¹
m = k₀ · t⁻²·J·c⁻¹·E_m⁻¹·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "2", "inertia": "-1", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"}
5
expansion,inertia,mass,thermal_cond,time
m·t·J·κ·β
mechanics,thermo
m·t⁻⁶·J·κ⁻²·β²
m = k₀ · t⁶·J⁻¹·κ²·β⁻²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "inertia": "1", "thermal_cond": "-2", "expansion": "2"}
6
amount,gas_constant,inertia,mass,thermal_cond,time
m·t·J·κ·n·R
chemistry,mechanics,thermo
m·t⁻²·J⁻¹·κ⁻²·n²·R²
m = k₀ · t²·J·κ²·n⁻²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "inertia": "-1", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
gas_constant,inertia,mass,molar_mass,thermal_cond,time
m·t·J·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻²·J⁻¹·κ⁻²·M_m⁻²·R²
J = k₀ · m³·t⁻²·κ⁻²·M_m⁻²·R²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "time": "-2", "inertia": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
concentration,gas_constant,inertia,mass,thermal_cond,time
m·t·J·κ·c_n·R
chemistry,mechanics,thermo
m·t·J⁻¹·κ·c_n⁻¹·R⁻¹
m = k₀ · t⁻¹·J·κ⁻¹·c_n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "inertia": "-1", "thermal_cond": "1", "concentration": "-1", "gas_constant": "-1"}
6
gas_constant,inertia,mass,molar_energy,thermal_cond,time
m·t·J·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻⁶·J·κ⁻²·E_m⁻²·R²
m = k₀ · t⁶·J⁻¹·κ²·E_m²·R⁻²
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "time": "-6", "inertia": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
avogadro,gas_constant,inertia,mass,thermal_cond,time
m·t·J·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻²·J⁻¹·κ⁻²·R²·N_A⁻²
m = k₀ · t²·J·κ²·R⁻²·N_A²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "time": "-2", "inertia": "-1", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
boltzmann,inertia,mass,thermal_cond,time
m·t·J·κ·k_B
constants,mechanics,thermo
m·t⁻²·J⁻¹·κ⁻²·k_B²
m = k₀ · t²·J·κ²·k_B⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "-2", "inertia": "-1", "thermal_cond": "-2", "boltzmann": "2"}
4
inertia,mass,thermal_diff,time
m·t·J·α
mechanics,thermo
m·t·J⁻¹·α
m = k₀ · t⁻¹·J·α⁻¹
null
0
2
1
4
2.6
6.9
true
{"mass": "1", "time": "1", "inertia": "-1", "thermal_diff": "1"}
6
expansion,gas_constant,inertia,mass,molar_mass,time
m·t·J·β·M_m·R
chemistry,mechanics,thermo
m·t²·J⁻¹·β⁻¹·M_m⁻¹·R
m = k₀ · t⁻²·J·β·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "2", "inertia": "-1", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,expansion,gas_constant,inertia,mass,time
m·t·J·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁴·J⁻¹·β²·c_n⁻²·R⁻²
J = k₀ · m³·t⁻⁴·β²·c_n⁻²·R⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "inertia": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
5
charge,efield,inertia,mass,time
m·t·J·q·E_f
em,mechanics
m·t⁻⁴·J·q⁻²·E_f⁻²
m = k₀ · t⁴·J⁻¹·q²·E_f²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "inertia": "1", "charge": "-2", "efield": "-2"}
5
charge,inertia,mass,permittivity,time
m·t·J·q·ε
em,mechanics
m·t⁴·J⁻³·q⁴·ε⁻²
m = k₀ · t⁻⁴·J³·q⁻⁴·ε²
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "time": "4", "inertia": "-3", "charge": "4", "permittivity": "-2"}