size
int64
2
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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
4
inertia,mass,time,velocity
m·t·v·J
mechanics
m·t²·v²·J⁻¹
m = k₀ · t⁻²·v⁻²·J
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "2", "velocity": "2", "inertia": "-1"}
4
mass,pressure,time,velocity
m·t·v·P_p
mechanics
m·t⁻³·v⁻¹·P_p⁻¹
m = k₀ · t³·v·P_p
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "time": "-3", "velocity": "-1", "pressure": "-1"}
4
density,mass,time,velocity
m·t·v·ρ
mechanics
m·t⁻³·v⁻³·ρ⁻¹
m = k₀ · t³·v³·ρ
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "time": "-3", "velocity": "-3", "density": "-1"}
4
mass,time,velocity,viscosity
m·t·v·μ
mechanics
m·t⁻²·v⁻¹·μ⁻¹
m = k₀ · t²·v·μ
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "-2", "velocity": "-1", "viscosity": "-1"}
5
mass,temperature,thermal_cond,time,velocity
m·t·v·Θ·κ
mechanics,thermo
m·t⁻²·v·Θ⁻¹·κ⁻¹
m = k₀ · t²·v⁻¹·Θ·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "velocity": "1", "temperature": "-1", "thermal_cond": "-1"}
6
concentration,gas_constant,mass,temperature,time,velocity
m·t·v·Θ·c_n·R
chemistry,mechanics,thermo
m·t⁻³·v⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · t³·v·Θ·c_n·R
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "velocity": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,mass,temperature,time,velocity
m·t·v·Θ·R·z
chemistry,mechanics,thermo
m·t⁻¹·v²·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · t·v⁻²·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "velocity": "2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
5
mass,specific_heat,thermal_cond,time,velocity
m·t·v·c·κ
mechanics,thermo
m·t⁻²·v⁻¹·c·κ⁻¹
m = k₀ · t²·v·c⁻¹·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "velocity": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
concentration,gas_constant,mass,specific_heat,time,velocity
m·t·v·c·c_n·R
chemistry,mechanics,thermo
m·t⁻³·v⁻³·c·c_n⁻¹·R⁻¹
m = k₀ · t³·v³·c⁻¹·c_n·R
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "velocity": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
expansion,mass,thermal_cond,time,velocity
m·t·v·κ·β
mechanics,thermo
m·t⁻²·v·κ⁻¹·β
m = k₀ · t²·v⁻¹·κ·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "velocity": "1", "thermal_cond": "-1", "expansion": "1"}
6
gas_constant,mass,molar_mass,thermal_cond,time,velocity
m·t·v·κ·M_m·R
chemistry,mechanics,thermo
m·t⁻²·v⁻¹·κ⁻¹·M_m⁻¹·R
m = k₀ · t²·v·κ·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "velocity": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,thermal_cond,time,velocity
m·t·v·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻²·v·κ⁻¹·E_m⁻¹·R
m = k₀ · t²·v⁻¹·κ·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "velocity": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
concentration,expansion,gas_constant,mass,time,velocity
m·t·v·β·c_n·R
chemistry,mechanics,thermo
m·t⁻³·v⁻¹·β·c_n⁻¹·R⁻¹
m = k₀ · t³·v·β⁻¹·c_n·R
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "velocity": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,mass,time,velocity
m·t·v·β·R·z
chemistry,mechanics,thermo
m·t⁻¹·v²·β·R⁻¹·z⁻¹
m = k₀ · t·v⁻²·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "velocity": "2", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
charge,mass,resistance,time,velocity
m·t·v·q·R
em,mechanics
m·t·v²·q⁻²·R⁻¹
m = k₀ · t⁻¹·v⁻²·q²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "velocity": "2", "charge": "-2", "resistance": "-1"}
5
charge,inductance,mass,time,velocity
m·t·v·q·L_e
em,mechanics
m·t²·v²·q⁻²·L_e⁻¹
m = k₀ · t⁻²·v⁻²·q²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "velocity": "2", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,time,velocity
m·t·v·q·E_f
em,mechanics
m·t⁻¹·v·q⁻¹·E_f⁻¹
m = k₀ · t·v⁻¹·q·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "velocity": "1", "charge": "-1", "efield": "-1"}
5
charge,mag_flux,mass,time,velocity
m·t·v·q·Φ
em,mechanics
m·t·v²·q⁻¹·Φ⁻¹
m = k₀ · t⁻¹·v⁻²·q·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "velocity": "2", "charge": "-1", "mag_flux": "-1"}
5
charge,mass,permittivity,time,velocity
m·t·v·q·ε
em,mechanics
m·t·v³·q⁻²·ε
m = k₀ · t⁻¹·v⁻³·q²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "1", "velocity": "3", "charge": "-2", "permittivity": "1"}
5
charge,mass,permeability,time,velocity
m·t·v·q·μ₀
em,mechanics
m·t·v·q⁻²·μ₀⁻¹
m = k₀ · t⁻¹·v⁻¹·q²·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "velocity": "1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,mass,time,velocity
m·t·v·q·σ
em,mechanics
m·t²·v³·q⁻²·σ
m = k₀ · t⁻²·v⁻³·q²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "velocity": "3", "charge": "-2", "conductivity": "1"}
5
charge,mass,resistivity,time,velocity
m·t·v·q·ρ_e
em,mechanics
m·t²·v³·q⁻²·ρ_e⁻¹
m = k₀ · t⁻²·v⁻³·q²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "velocity": "3", "charge": "-2", "resistivity": "-1"}
5
current,mass,time,velocity,voltage
m·t·v·i·U
em,mechanics
m·t⁻¹·v²·i⁻¹·U⁻¹
m = k₀ · t·v⁻²·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "velocity": "2", "current": "-1", "voltage": "-1"}
5
current,mass,resistance,time,velocity
m·t·v·i·R
em,mechanics
m·t⁻¹·v²·i⁻²·R⁻¹
m = k₀ · t·v⁻²·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "velocity": "2", "current": "-2", "resistance": "-1"}
5
capacitance,current,mass,time,velocity
m·t·v·i·C_e
em,mechanics
m·t⁻²·v²·i⁻²·C_e
m = k₀ · t²·v⁻²·i²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "velocity": "2", "current": "-2", "capacitance": "1"}
5
current,efield,mass,time,velocity
m·t·v·i·E_f
em,mechanics
m·t⁻²·v·i⁻¹·E_f⁻¹
m = k₀ · t²·v⁻¹·i·E_f
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "velocity": "1", "current": "-1", "efield": "-1"}
5
current,mass,permittivity,time,velocity
m·t·v·i·ε
em,mechanics
m·t⁻¹·v³·i⁻²·ε
m = k₀ · t·v⁻³·i²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-1", "velocity": "3", "current": "-2", "permittivity": "1"}
5
current,mass,permeability,time,velocity
m·t·v·i·μ₀
em,mechanics
m·t⁻¹·v·i⁻²·μ₀⁻¹
m = k₀ · t·v⁻¹·i²·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "velocity": "1", "current": "-2", "permeability": "-1"}
5
mass,resistance,time,velocity,voltage
m·t·v·U·R
em,mechanics
m·t⁻¹·v²·U⁻²·R
m = k₀ · t·v⁻²·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "velocity": "2", "voltage": "-2", "resistance": "1"}
5
inductance,mass,time,velocity,voltage
m·t·v·U·L_e
em,mechanics
m·t⁻²·v²·U⁻²·L_e
m = k₀ · t²·v⁻²·U²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "velocity": "2", "voltage": "-2", "inductance": "1"}
5
mass,permittivity,time,velocity,voltage
m·t·v·U·ε
em,mechanics
m·t⁻¹·v·U⁻²·ε⁻¹
m = k₀ · t·v⁻¹·U²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "velocity": "1", "voltage": "-2", "permittivity": "-1"}
5
mass,permeability,time,velocity,voltage
m·t·v·U·μ₀
em,mechanics
m·t⁻¹·v³·U⁻²·μ₀
m = k₀ · t·v⁻³·U²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-1", "velocity": "3", "voltage": "-2", "permeability": "1"}
5
conductivity,mass,time,velocity,voltage
m·t·v·U·σ
em,mechanics
m·t⁻²·v·U⁻²·σ⁻¹
m = k₀ · t²·v⁻¹·U²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "velocity": "1", "voltage": "-2", "conductivity": "-1"}
5
mass,resistivity,time,velocity,voltage
m·t·v·U·ρ_e
em,mechanics
m·t⁻²·v·U⁻²·ρ_e
m = k₀ · t²·v⁻¹·U²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "velocity": "1", "voltage": "-2", "resistivity": "1"}
5
bfield,mass,resistance,time,velocity
m·t·v·R·B
em,mechanics
m·t⁻³·v⁻²·R·B⁻²
m = k₀ · t³·v²·R⁻¹·B²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "velocity": "-2", "resistance": "1", "bfield": "-2"}
5
mag_flux,mass,resistance,time,velocity
m·t·v·R·Φ
em,mechanics
m·t·v²·R·Φ⁻²
m = k₀ · t⁻¹·v⁻²·R⁻¹·Φ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "velocity": "2", "resistance": "1", "mag_flux": "-2"}
5
elem_charge,mass,resistance,time,velocity
m·t·v·R·e
constants,em,mechanics
m·t·v²·R⁻¹·e⁻²
m = k₀ · t⁻¹·v⁻²·R·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "velocity": "2", "resistance": "-1", "elem_charge": "-2"}
5
bfield,capacitance,mass,time,velocity
m·t·v·C_e·B
em,mechanics
m·t⁻²·v⁻²·C_e⁻¹·B⁻²
m = k₀ · t²·v²·C_e·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "velocity": "-2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,mag_flux,mass,time,velocity
m·t·v·C_e·Φ
em,mechanics
m·t²·v²·C_e⁻¹·Φ⁻²
m = k₀ · t⁻²·v⁻²·C_e·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "velocity": "2", "capacitance": "-1", "mag_flux": "-2"}
5
bfield,inductance,mass,time,velocity
m·t·v·L_e·B
em,mechanics
m·t⁻⁴·v⁻²·L_e·B⁻²
m = k₀ · t⁴·v²·L_e⁻¹·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "velocity": "-2", "inductance": "1", "bfield": "-2"}
5
elem_charge,inductance,mass,time,velocity
m·t·v·L_e·e
constants,em,mechanics
m·t²·v²·L_e⁻¹·e⁻²
m = k₀ · t⁻²·v⁻²·L_e·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "2", "velocity": "2", "inductance": "-1", "elem_charge": "-2"}
5
efield,mass,permittivity,time,velocity
m·t·v·E_f·ε
em,mechanics
m·t⁻³·v⁻¹·E_f⁻²·ε⁻¹
m = k₀ · t³·v·E_f²·ε
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "velocity": "-1", "efield": "-2", "permittivity": "-1"}
5
efield,mass,permeability,time,velocity
m·t·v·E_f·μ₀
em,mechanics
m·t⁻³·v·E_f⁻²·μ₀
m = k₀ · t³·v⁻¹·E_f²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "velocity": "1", "efield": "-2", "permeability": "1"}
5
conductivity,efield,mass,time,velocity
m·t·v·E_f·σ
em,mechanics
m·t⁻⁴·v⁻¹·E_f⁻²·σ⁻¹
m = k₀ · t⁴·v·E_f²·σ
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "velocity": "-1", "efield": "-2", "conductivity": "-1"}
5
efield,mass,resistivity,time,velocity
m·t·v·E_f·ρ_e
em,mechanics
m·t⁻⁴·v⁻¹·E_f⁻²·ρ_e
m = k₀ · t⁴·v·E_f²·ρ_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "velocity": "-1", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,mass,time,velocity
m·t·v·E_f·e
constants,em,mechanics
m·t⁻¹·v·E_f⁻¹·e⁻¹
m = k₀ · t·v⁻¹·E_f·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "velocity": "1", "efield": "-1", "elem_charge": "-1"}
5
bfield,mass,permittivity,time,velocity
m·t·v·B·ε
em,mechanics
m·t⁻³·v⁻³·B⁻²·ε⁻¹
m = k₀ · t³·v³·B²·ε
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "-3", "velocity": "-3", "bfield": "-2", "permittivity": "-1"}
5
bfield,mass,permeability,time,velocity
m·t·v·B·μ₀
em,mechanics
m·t⁻³·v⁻¹·B⁻²·μ₀
m = k₀ · t³·v·B²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "velocity": "-1", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,mass,time,velocity
m·t·v·B·σ
em,mechanics
m·t⁻⁴·v⁻³·B⁻²·σ⁻¹
m = k₀ · t⁴·v³·B²·σ
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-4", "velocity": "-3", "bfield": "-2", "conductivity": "-1"}
5
bfield,mass,resistivity,time,velocity
m·t·v·B·ρ_e
em,mechanics
m·t⁻⁴·v⁻³·B⁻²·ρ_e
m = k₀ · t⁴·v³·B²·ρ_e⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-4", "velocity": "-3", "bfield": "-2", "resistivity": "1"}
5
mag_flux,mass,permittivity,time,velocity
m·t·v·Φ·ε
em,mechanics
m·t·v·Φ⁻²·ε⁻¹
m = k₀ · t⁻¹·v⁻¹·Φ²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "velocity": "1", "mag_flux": "-2", "permittivity": "-1"}
5
mag_flux,mass,permeability,time,velocity
m·t·v·Φ·μ₀
em,mechanics
m·t·v³·Φ⁻²·μ₀
m = k₀ · t⁻¹·v⁻³·Φ²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "1", "velocity": "3", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,mag_flux,mass,time,velocity
m·t·v·Φ·e
constants,em,mechanics
m·t·v²·Φ⁻¹·e⁻¹
m = k₀ · t⁻¹·v⁻²·Φ·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "velocity": "2", "mag_flux": "-1", "elem_charge": "-1"}
5
elem_charge,mass,permittivity,time,velocity
m·t·v·ε·e
constants,em,mechanics
m·t·v³·ε·e⁻²
m = k₀ · t⁻¹·v⁻³·ε⁻¹·e²
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "1", "velocity": "3", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,permeability,time,velocity
m·t·v·μ₀·e
constants,em,mechanics
m·t·v·μ₀⁻¹·e⁻²
m = k₀ · t⁻¹·v⁻¹·μ₀·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "velocity": "1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,mass,time,velocity
m·t·v·σ·e
constants,em,mechanics
m·t²·v³·σ·e⁻²
m = k₀ · t⁻²·v⁻³·σ⁻¹·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "2", "velocity": "3", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,resistivity,time,velocity
m·t·v·ρ_e·e
constants,em,mechanics
m·t²·v³·ρ_e⁻¹·e⁻²
m = k₀ · t⁻²·v⁻³·ρ_e·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "2", "velocity": "3", "resistivity": "-1", "elem_charge": "-2"}
5
concentration,mass,molar_mass,time,velocity
m·t·v·M_m·c_n
chemistry,mechanics
m·t⁻³·v⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · t³·v³·M_m·c_n
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "velocity": "-3", "molar_mass": "-1", "concentration": "-1"}
5
concentration,mass,molar_energy,time,velocity
m·t·v·c_n·E_m
chemistry,mechanics
m·t⁻³·v⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t³·v·c_n·E_m
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "velocity": "-1", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,mass,molar_energy,time,velocity
m·t·v·E_m·z
chemistry,mechanics
m·t⁻¹·v²·E_m⁻¹·z⁻¹
m = k₀ · t·v⁻²·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "velocity": "2", "molar_energy": "-1", "cat_activity": "-1"}
4
grav_const,mass,time,velocity
m·t·v·G
constants,mechanics
m·t⁻¹·v⁻³·G
m = k₀ · t·v³·G⁻¹
null
1
2
3
6
5
4.5
true
{"mass": "1", "time": "-1", "velocity": "-3", "grav_const": "1"}
4
mass,planck,time,velocity
m·t·v·h
constants,mechanics
m·t·v²·h⁻¹
m = k₀ · t⁻¹·v⁻²·h
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "time": "1", "velocity": "2", "planck": "-1"}
4
acceleration,energy,mass,time
m·t·a·E
mechanics
m·t²·a²·E⁻¹
m = k₀ · t⁻²·a⁻²·E
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "2", "acceleration": "2", "energy": "-1"}
4
acceleration,mass,time,torque
m·t·a·τ
mechanics
m·t²·a²·τ⁻¹
m = k₀ · t⁻²·a⁻²·τ
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "2", "acceleration": "2", "torque": "-1"}
4
acceleration,mass,power,time
m·t·a·P
mechanics
m·t·a²·P⁻¹
m = k₀ · t⁻¹·a⁻²·P
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "1", "acceleration": "2", "power": "-1"}
4
acceleration,mass,momentum,time
m·t·a·p
mechanics
m·t·a·p⁻¹
m = k₀ · t⁻¹·a⁻¹·p
null
0
1
1
4
2
8
true
{"mass": "1", "time": "1", "acceleration": "1", "momentum": "-1"}
4
acceleration,ang_momentum,mass,time
m·t·a·Lₐ
mechanics
m·t³·a²·Lₐ⁻¹
m = k₀ · t⁻³·a⁻²·Lₐ
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "time": "3", "acceleration": "2", "ang_momentum": "-1"}
4
acceleration,action,mass,time
m·t·a·S
mechanics
m·t³·a²·S⁻¹
m = k₀ · t⁻³·a⁻²·S
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "time": "3", "acceleration": "2", "action": "-1"}
4
acceleration,inertia,mass,time
m·t·a·J
mechanics
m·t⁴·a²·J⁻¹
m = k₀ · t⁻⁴·a⁻²·J
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "time": "4", "acceleration": "2", "inertia": "-1"}
4
acceleration,mass,pressure,time
m·t·a·P_p
mechanics
m·t⁻⁴·a⁻¹·P_p⁻¹
m = k₀ · t⁴·a·P_p
null
0
1
4
7
5.6
4.4
false
{"mass": "1", "time": "-4", "acceleration": "-1", "pressure": "-1"}
4
acceleration,density,mass,time
m·t·a·ρ
mechanics
m·t⁻⁶·a⁻³·ρ⁻¹
m = k₀ · t⁶·a³·ρ
null
0
1
6
11
9.4
0.6
false
{"mass": "1", "time": "-6", "acceleration": "-3", "density": "-1"}
4
acceleration,mass,time,viscosity
m·t·a·μ
mechanics
m·t⁻³·a⁻¹·μ⁻¹
m = k₀ · t³·a·μ
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "time": "-3", "acceleration": "-1", "viscosity": "-1"}
5
acceleration,entropy,mass,temperature,time
m·t·a·Θ·S_e
mechanics,thermo
m·t²·a²·Θ⁻¹·S_e⁻¹
m = k₀ · t⁻²·a⁻²·Θ·S_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "entropy": "-1"}
5
acceleration,heat_capacity,mass,temperature,time
m·t·a·Θ·C
mechanics,thermo
m·t²·a²·Θ⁻¹·C⁻¹
m = k₀ · t⁻²·a⁻²·Θ·C
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "heat_capacity": "-1"}
5
acceleration,mass,temperature,thermal_cond,time
m·t·a·Θ·κ
mechanics,thermo
m·t⁻¹·a·Θ⁻¹·κ⁻¹
m = k₀ · t·a⁻¹·Θ·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "acceleration": "1", "temperature": "-1", "thermal_cond": "-1"}
6
acceleration,amount,gas_constant,mass,temperature,time
m·t·a·Θ·n·R
chemistry,mechanics,thermo
m·t²·a²·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · t⁻²·a⁻²·Θ·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,concentration,gas_constant,mass,temperature,time
m·t·a·Θ·c_n·R
chemistry,mechanics,thermo
m·t⁻⁴·a⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · t⁴·a·Θ·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "acceleration": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,mass,temperature,time
m·t·a·Θ·R·z
chemistry,mechanics,thermo
m·t·a²·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · t⁻¹·a⁻²·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "acceleration": "2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,gas_constant,mass,temperature,time
m·t·a·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·t²·a²·Θ⁻¹·R⁻¹·N_A
m = k₀ · t⁻²·a⁻²·Θ·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,mass,temperature,time
m·t·a·Θ·k_B
constants,mechanics,thermo
m·t²·a²·Θ⁻¹·k_B⁻¹
m = k₀ · t⁻²·a⁻²·Θ·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "boltzmann": "-1"}
5
acceleration,entropy,expansion,mass,time
m·t·a·S_e·β
mechanics,thermo
m·t²·a²·S_e⁻¹·β
m = k₀ · t⁻²·a⁻²·S_e·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "entropy": "-1", "expansion": "1"}
6
acceleration,entropy,gas_constant,mass,molar_energy,time
m·t·a·S_e·E_m·R
chemistry,mechanics,thermo
m·t²·a²·S_e⁻¹·E_m⁻¹·R
m = k₀ · t⁻²·a⁻²·S_e·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "acceleration": "2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,expansion,heat_capacity,mass,time
m·t·a·C·β
mechanics,thermo
m·t²·a²·C⁻¹·β
m = k₀ · t⁻²·a⁻²·C·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "heat_capacity": "-1", "expansion": "1"}
6
acceleration,gas_constant,heat_capacity,mass,molar_energy,time
m·t·a·C·E_m·R
chemistry,mechanics,thermo
m·t²·a²·C⁻¹·E_m⁻¹·R
m = k₀ · t⁻²·a⁻²·C·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "acceleration": "2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,mass,specific_heat,thermal_cond,time
m·t·a·c·κ
mechanics,thermo
m·t⁻³·a⁻¹·c·κ⁻¹
m = k₀ · t³·a·c⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "acceleration": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
acceleration,concentration,gas_constant,mass,specific_heat,time
m·t·a·c·c_n·R
chemistry,mechanics,thermo
m·t⁻⁶·a⁻³·c·c_n⁻¹·R⁻¹
m = k₀ · t⁶·a³·c⁻¹·c_n·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "1", "time": "-6", "acceleration": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
acceleration,expansion,mass,thermal_cond,time
m·t·a·κ·β
mechanics,thermo
m·t⁻¹·a·κ⁻¹·β
m = k₀ · t·a⁻¹·κ·β⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "acceleration": "1", "thermal_cond": "-1", "expansion": "1"}
6
acceleration,gas_constant,mass,molar_mass,thermal_cond,time
m·t·a·κ·M_m·R
chemistry,mechanics,thermo
m·t⁻³·a⁻¹·κ⁻¹·M_m⁻¹·R
m = k₀ · t³·a·κ·M_m·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "acceleration": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_energy,thermal_cond,time
m·t·a·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻¹·a·κ⁻¹·E_m⁻¹·R
m = k₀ · t·a⁻¹·κ·E_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "acceleration": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
acceleration,amount,expansion,gas_constant,mass,time
m·t·a·β·n·R
chemistry,mechanics,thermo
m·t²·a²·β·n⁻¹·R⁻¹
m = k₀ · t⁻²·a⁻²·β⁻¹·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "acceleration": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,concentration,expansion,gas_constant,mass,time
m·t·a·β·c_n·R
chemistry,mechanics,thermo
m·t⁻⁴·a⁻¹·β·c_n⁻¹·R⁻¹
m = k₀ · t⁴·a·β⁻¹·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "acceleration": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,expansion,gas_constant,mass,time
m·t·a·β·R·z
chemistry,mechanics,thermo
m·t·a²·β·R⁻¹·z⁻¹
m = k₀ · t⁻¹·a⁻²·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "acceleration": "2", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,expansion,gas_constant,mass,time
m·t·a·β·R·N_A
chemistry,constants,mechanics,thermo
m·t²·a²·β·R⁻¹·N_A
m = k₀ · t⁻²·a⁻²·β⁻¹·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "2", "acceleration": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,expansion,mass,time
m·t·a·β·k_B
constants,mechanics,thermo
m·t²·a²·β·k_B⁻¹
m = k₀ · t⁻²·a⁻²·β⁻¹·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "acceleration": "2", "expansion": "1", "boltzmann": "-1"}
5
acceleration,charge,mass,time,voltage
m·t·a·q·U
em,mechanics
m·t²·a²·q⁻¹·U⁻¹
m = k₀ · t⁻²·a⁻²·q·U
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "charge": "-1", "voltage": "-1"}
5
acceleration,charge,mass,resistance,time
m·t·a·q·R
em,mechanics
m·t³·a²·q⁻²·R⁻¹
m = k₀ · t⁻³·a⁻²·q²·R
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "acceleration": "2", "charge": "-2", "resistance": "-1"}
5
acceleration,capacitance,charge,mass,time
m·t·a·q·C_e
em,mechanics
m·t²·a²·q⁻²·C_e
m = k₀ · t⁻²·a⁻²·q²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "acceleration": "2", "charge": "-2", "capacitance": "1"}
5
acceleration,charge,inductance,mass,time
m·t·a·q·L_e
em,mechanics
m·t⁴·a²·q⁻²·L_e⁻¹
m = k₀ · t⁻⁴·a⁻²·q²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "4", "acceleration": "2", "charge": "-2", "inductance": "-1"}
5
acceleration,charge,mag_flux,mass,time
m·t·a·q·Φ
em,mechanics
m·t³·a²·q⁻¹·Φ⁻¹
m = k₀ · t⁻³·a⁻²·q·Φ
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "3", "acceleration": "2", "charge": "-1", "mag_flux": "-1"}
5
acceleration,charge,mass,permittivity,time
m·t·a·q·ε
em,mechanics
m·t⁴·a³·q⁻²·ε
m = k₀ · t⁻⁴·a⁻³·q²·ε⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "4", "acceleration": "3", "charge": "-2", "permittivity": "1"}