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
current,kin_viscosity,mass,permittivity,velocity
m·v·ν·i·ε
em,mechanics
m·v⁵·ν⁻¹·i⁻²·ε
m = k₀ · v⁻⁵·ν·i²·ε⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-1", "current": "-2", "permittivity": "1"}
5
current,kin_viscosity,mass,permeability,velocity
m·v·ν·i·μ₀
em,mechanics
m·v³·ν⁻¹·i⁻²·μ₀⁻¹
m = k₀ · v⁻³·ν·i²·μ₀
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "kin_viscosity": "-1", "current": "-2", "permeability": "-1"}
5
kin_viscosity,mass,resistance,velocity,voltage
m·v·ν·U·R
em,mechanics
m·v⁴·ν⁻¹·U⁻²·R
m = k₀ · v⁻⁴·ν·U²·R⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "kin_viscosity": "-1", "voltage": "-2", "resistance": "1"}
5
inductance,kin_viscosity,mass,velocity,voltage
m·v·ν·U·L_e
em,mechanics
m·v⁶·ν⁻²·U⁻²·L_e
m = k₀ · v⁻⁶·ν²·U²·L_e⁻¹
null
0
2
6
12
11
-1.5
false
{"mass": "1", "velocity": "6", "kin_viscosity": "-2", "voltage": "-2", "inductance": "1"}
5
kin_viscosity,mass,permittivity,velocity,voltage
m·v·ν·U·ε
em,mechanics
m·v³·ν⁻¹·U⁻²·ε⁻¹
m = k₀ · v⁻³·ν·U²·ε
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "kin_viscosity": "-1", "voltage": "-2", "permittivity": "-1"}
5
kin_viscosity,mass,permeability,velocity,voltage
m·v·ν·U·μ₀
em,mechanics
m·v⁵·ν⁻¹·U⁻²·μ₀
m = k₀ · v⁻⁵·ν·U²·μ₀⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-1", "voltage": "-2", "permeability": "1"}
5
conductivity,kin_viscosity,mass,velocity,voltage
m·v·ν·U·σ
em,mechanics
m·v⁵·ν⁻²·U⁻²·σ⁻¹
m = k₀ · v⁻⁵·ν²·U²·σ
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-2", "voltage": "-2", "conductivity": "-1"}
5
kin_viscosity,mass,resistivity,velocity,voltage
m·v·ν·U·ρ_e
em,mechanics
m·v⁵·ν⁻²·U⁻²·ρ_e
m = k₀ · v⁻⁵·ν²·U²·ρ_e⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-2", "voltage": "-2", "resistivity": "1"}
5
efield,kin_viscosity,mass,resistance,velocity
m·v·ν·R·E_f
em,mechanics
m·v⁶·ν⁻³·R·E_f⁻²
m = k₀ · v⁻⁶·ν³·R⁻¹·E_f²
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "velocity": "6", "kin_viscosity": "-3", "resistance": "1", "efield": "-2"}
5
bfield,kin_viscosity,mass,resistance,velocity
m·v·ν·R·B
em,mechanics
m·v⁴·ν⁻³·R·B⁻²
m = k₀ · v⁻⁴·ν³·R⁻¹·B²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "4", "kin_viscosity": "-3", "resistance": "1", "bfield": "-2"}
5
capacitance,efield,kin_viscosity,mass,velocity
m·v·ν·C_e·E_f
em,mechanics
m·v⁴·ν⁻²·C_e⁻¹·E_f⁻²
m = k₀ · v⁻⁴·ν²·C_e·E_f²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "kin_viscosity": "-2", "capacitance": "-1", "efield": "-2"}
5
bfield,capacitance,kin_viscosity,mass,velocity
m·v·ν·C_e·B
em,mechanics
m·v²·ν⁻²·C_e⁻¹·B⁻²
m = k₀ · v⁻²·ν²·C_e·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "kin_viscosity": "-2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,kin_viscosity,mag_flux,mass,velocity
m·v·ν·C_e·Φ
em,mechanics
m·v⁻²·ν²·C_e⁻¹·Φ⁻²
m = k₀ · v²·ν⁻²·C_e·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "kin_viscosity": "2", "capacitance": "-1", "mag_flux": "-2"}
5
efield,inductance,kin_viscosity,mass,velocity
m·v·ν·L_e·E_f
em,mechanics
m·v⁸·ν⁻⁴·L_e·E_f⁻²
m = k₀ · v⁻⁸·ν⁴·L_e⁻¹·E_f²
null
0
2
8
16
14.8
-5.3
false
{"mass": "1", "velocity": "8", "kin_viscosity": "-4", "inductance": "1", "efield": "-2"}
5
bfield,inductance,kin_viscosity,mass,velocity
m·v·ν·L_e·B
em,mechanics
m·v⁶·ν⁻⁴·L_e·B⁻²
m = k₀ · v⁻⁶·ν⁴·L_e⁻¹·B²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "kin_viscosity": "-4", "inductance": "1", "bfield": "-2"}
5
elem_charge,inductance,kin_viscosity,mass,velocity
m·v·ν·L_e·e
constants,em,mechanics
m·v⁻²·ν²·L_e⁻¹·e⁻²
m = k₀ · v²·ν⁻²·L_e·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "-2", "kin_viscosity": "2", "inductance": "-1", "elem_charge": "-2"}
5
efield,kin_viscosity,mass,permittivity,velocity
m·v·ν·E_f·ε
em,mechanics
m·v⁵·ν⁻³·E_f⁻²·ε⁻¹
m = k₀ · v⁻⁵·ν³·E_f²·ε
null
0
2
5
12
10.5
-1
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-3", "efield": "-2", "permittivity": "-1"}
5
efield,kin_viscosity,mass,permeability,velocity
m·v·ν·E_f·μ₀
em,mechanics
m·v⁷·ν⁻³·E_f⁻²·μ₀
m = k₀ · v⁻⁷·ν³·E_f²·μ₀⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "velocity": "7", "kin_viscosity": "-3", "efield": "-2", "permeability": "1"}
5
conductivity,efield,kin_viscosity,mass,velocity
m·v·ν·E_f·σ
em,mechanics
m·v⁷·ν⁻⁴·E_f⁻²·σ⁻¹
m = k₀ · v⁻⁷·ν⁴·E_f²·σ
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "velocity": "7", "kin_viscosity": "-4", "efield": "-2", "conductivity": "-1"}
5
efield,kin_viscosity,mass,resistivity,velocity
m·v·ν·E_f·ρ_e
em,mechanics
m·v⁷·ν⁻⁴·E_f⁻²·ρ_e
m = k₀ · v⁻⁷·ν⁴·E_f²·ρ_e⁻¹
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "velocity": "7", "kin_viscosity": "-4", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,kin_viscosity,mass,velocity
m·v·ν·E_f·e
constants,em,mechanics
m·v³·ν⁻¹·E_f⁻¹·e⁻¹
m = k₀ · v⁻³·ν·E_f·e
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "3", "kin_viscosity": "-1", "efield": "-1", "elem_charge": "-1"}
5
bfield,kin_viscosity,mass,permittivity,velocity
m·v·ν·B·ε
em,mechanics
m·v³·ν⁻³·B⁻²·ε⁻¹
m = k₀ · v⁻³·ν³·B²·ε
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "3", "kin_viscosity": "-3", "bfield": "-2", "permittivity": "-1"}
5
bfield,kin_viscosity,mass,permeability,velocity
m·v·ν·B·μ₀
em,mechanics
m·v⁵·ν⁻³·B⁻²·μ₀
m = k₀ · v⁻⁵·ν³·B²·μ₀⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-3", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,kin_viscosity,mass,velocity
m·v·ν·B·σ
em,mechanics
m·v⁵·ν⁻⁴·B⁻²·σ⁻¹
m = k₀ · v⁻⁵·ν⁴·B²·σ
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-4", "bfield": "-2", "conductivity": "-1"}
5
bfield,kin_viscosity,mass,resistivity,velocity
m·v·ν·B·ρ_e
em,mechanics
m·v⁵·ν⁻⁴·B⁻²·ρ_e
m = k₀ · v⁻⁵·ν⁴·B²·ρ_e⁻¹
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-4", "bfield": "-2", "resistivity": "1"}
5
bfield,elem_charge,kin_viscosity,mass,velocity
m·v·ν·B·e
constants,em,mechanics
m·v²·ν⁻¹·B⁻¹·e⁻¹
m = k₀ · v⁻²·ν·B·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "kin_viscosity": "-1", "bfield": "-1", "elem_charge": "-1"}
5
kin_viscosity,mag_flux,mass,permittivity,velocity
m·v·ν·Φ·ε
em,mechanics
m·v⁻¹·ν·Φ⁻²·ε⁻¹
m = k₀ · v·ν⁻¹·Φ²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "kin_viscosity": "1", "mag_flux": "-2", "permittivity": "-1"}
5
kin_viscosity,mag_flux,mass,permeability,velocity
m·v·ν·Φ·μ₀
em,mechanics
m·v·ν·Φ⁻²·μ₀
m = k₀ · v⁻¹·ν⁻¹·Φ²·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "kin_viscosity": "1", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,kin_viscosity,mass,permittivity,velocity
m·v·ν·ε·e
constants,em,mechanics
m·v·ν·ε·e⁻²
m = k₀ · v⁻¹·ν⁻¹·ε⁻¹·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "kin_viscosity": "1", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,kin_viscosity,mass,permeability,velocity
m·v·ν·μ₀·e
constants,em,mechanics
m·v⁻¹·ν·μ₀⁻¹·e⁻²
m = k₀ · v·ν⁻¹·μ₀·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-1", "kin_viscosity": "1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,kin_viscosity,mass,velocity
m·v·ν·σ·e
constants,em,mechanics
m·v⁻¹·ν²·σ·e⁻²
m = k₀ · v·ν⁻²·σ⁻¹·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "-1", "kin_viscosity": "2", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,kin_viscosity,mass,resistivity,velocity
m·v·ν·ρ_e·e
constants,em,mechanics
m·v⁻¹·ν²·ρ_e⁻¹·e⁻²
m = k₀ · v·ν⁻²·ρ_e·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "-1", "kin_viscosity": "2", "resistivity": "-1", "elem_charge": "-2"}
5
concentration,kin_viscosity,mass,molar_mass,velocity
m·v·ν·M_m·c_n
chemistry,mechanics
m·v³·ν⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁻³·ν³·M_m·c_n
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "kin_viscosity": "-3", "molar_mass": "-1", "concentration": "-1"}
5
cat_activity,kin_viscosity,mass,molar_mass,velocity
m·v·ν·M_m·z
chemistry,mechanics
m·v²·ν⁻¹·M_m⁻¹·z⁻¹
m = k₀ · v⁻²·ν·M_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "kin_viscosity": "-1", "molar_mass": "-1", "cat_activity": "-1"}
5
concentration,kin_viscosity,mass,molar_energy,velocity
m·v·ν·c_n·E_m
chemistry,mechanics
m·v⁵·ν⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻⁵·ν³·c_n·E_m
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "kin_viscosity": "-3", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,kin_viscosity,mass,molar_energy,velocity
m·v·ν·E_m·z
chemistry,mechanics
m·v⁴·ν⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻⁴·ν·E_m·z
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "kin_viscosity": "-1", "molar_energy": "-1", "cat_activity": "-1"}
4
grav_const,kin_viscosity,mass,velocity
m·v·ν·G
constants,mechanics
m·v⁻¹·ν⁻¹·G
m = k₀ · v·ν·G⁻¹
null
1
2
1
4
2.6
6.9
true
{"mass": "1", "velocity": "-1", "kin_viscosity": "-1", "grav_const": "1"}
5
mass,omega,temperature,thermal_cond,velocity
m·v·ω·Θ·κ
mechanics,thermo
m·v·ω²·Θ⁻¹·κ⁻¹
m = k₀ · v⁻¹·ω⁻²·Θ·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "2", "temperature": "-1", "thermal_cond": "-1"}
6
concentration,gas_constant,mass,omega,temperature,velocity
m·v·ω·Θ·c_n·R
chemistry,mechanics,thermo
m·v⁻¹·ω³·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · v·ω⁻³·Θ·c_n·R
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "-1", "omega": "3", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,mass,omega,temperature,velocity
m·v·ω·Θ·R·z
chemistry,mechanics,thermo
m·v²·ω·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · v⁻²·ω⁻¹·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "omega": "1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
5
mass,omega,specific_heat,thermal_cond,velocity
m·v·ω·c·κ
mechanics,thermo
m·v⁻¹·ω²·c·κ⁻¹
m = k₀ · v·ω⁻²·c⁻¹·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "omega": "2", "specific_heat": "1", "thermal_cond": "-1"}
6
concentration,gas_constant,mass,omega,specific_heat,velocity
m·v·ω·c·c_n·R
chemistry,mechanics,thermo
m·v⁻³·ω³·c·c_n⁻¹·R⁻¹
m = k₀ · v³·ω⁻³·c⁻¹·c_n·R
null
0
3
3
10
9
0
false
{"mass": "1", "velocity": "-3", "omega": "3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
expansion,mass,omega,thermal_cond,velocity
m·v·ω·κ·β
mechanics,thermo
m·v·ω²·κ⁻¹·β
m = k₀ · v⁻¹·ω⁻²·κ·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "2", "thermal_cond": "-1", "expansion": "1"}
6
gas_constant,mass,molar_mass,omega,thermal_cond,velocity
m·v·ω·κ·M_m·R
chemistry,mechanics,thermo
m·v⁻¹·ω²·κ⁻¹·M_m⁻¹·R
m = k₀ · v·ω⁻²·κ·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "-1", "omega": "2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,omega,thermal_cond,velocity
m·v·ω·κ·E_m·R
chemistry,mechanics,thermo
m·v·ω²·κ⁻¹·E_m⁻¹·R
m = k₀ · v⁻¹·ω⁻²·κ·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "omega": "2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
concentration,expansion,gas_constant,mass,omega,velocity
m·v·ω·β·c_n·R
chemistry,mechanics,thermo
m·v⁻¹·ω³·β·c_n⁻¹·R⁻¹
m = k₀ · v·ω⁻³·β⁻¹·c_n·R
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "-1", "omega": "3", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,mass,omega,velocity
m·v·ω·β·R·z
chemistry,mechanics,thermo
m·v²·ω·β·R⁻¹·z⁻¹
m = k₀ · v⁻²·ω⁻¹·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "omega": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
charge,mass,omega,resistance,velocity
m·v·ω·q·R
em,mechanics
m·v²·ω⁻¹·q⁻²·R⁻¹
m = k₀ · v⁻²·ω·q²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "omega": "-1", "charge": "-2", "resistance": "-1"}
5
charge,inductance,mass,omega,velocity
m·v·ω·q·L_e
em,mechanics
m·v²·ω⁻²·q⁻²·L_e⁻¹
m = k₀ · v⁻²·ω²·q²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "omega": "-2", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,omega,velocity
m·v·ω·q·E_f
em,mechanics
m·v·ω·q⁻¹·E_f⁻¹
m = k₀ · v⁻¹·ω⁻¹·q·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "omega": "1", "charge": "-1", "efield": "-1"}
5
charge,mag_flux,mass,omega,velocity
m·v·ω·q·Φ
em,mechanics
m·v²·ω⁻¹·q⁻¹·Φ⁻¹
m = k₀ · v⁻²·ω·q·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "omega": "-1", "charge": "-1", "mag_flux": "-1"}
5
charge,mass,omega,permittivity,velocity
m·v·ω·q·ε
em,mechanics
m·v³·ω⁻¹·q⁻²·ε
m = k₀ · v⁻³·ω·q²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "omega": "-1", "charge": "-2", "permittivity": "1"}
5
charge,mass,omega,permeability,velocity
m·v·ω·q·μ₀
em,mechanics
m·v·ω⁻¹·q⁻²·μ₀⁻¹
m = k₀ · v⁻¹·ω·q²·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "-1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,mass,omega,velocity
m·v·ω·q·σ
em,mechanics
m·v³·ω⁻²·q⁻²·σ
m = k₀ · v⁻³·ω²·q²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "omega": "-2", "charge": "-2", "conductivity": "1"}
5
charge,mass,omega,resistivity,velocity
m·v·ω·q·ρ_e
em,mechanics
m·v³·ω⁻²·q⁻²·ρ_e⁻¹
m = k₀ · v⁻³·ω²·q²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "omega": "-2", "charge": "-2", "resistivity": "-1"}
5
current,mass,omega,velocity,voltage
m·v·ω·i·U
em,mechanics
m·v²·ω·i⁻¹·U⁻¹
m = k₀ · v⁻²·ω⁻¹·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "omega": "1", "current": "-1", "voltage": "-1"}
5
current,mass,omega,resistance,velocity
m·v·ω·i·R
em,mechanics
m·v²·ω·i⁻²·R⁻¹
m = k₀ · v⁻²·ω⁻¹·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "omega": "1", "current": "-2", "resistance": "-1"}
5
capacitance,current,mass,omega,velocity
m·v·ω·i·C_e
em,mechanics
m·v²·ω²·i⁻²·C_e
m = k₀ · v⁻²·ω⁻²·i²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "omega": "2", "current": "-2", "capacitance": "1"}
5
current,efield,mass,omega,velocity
m·v·ω·i·E_f
em,mechanics
m·v·ω²·i⁻¹·E_f⁻¹
m = k₀ · v⁻¹·ω⁻²·i·E_f
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "2", "current": "-1", "efield": "-1"}
5
current,mass,omega,permittivity,velocity
m·v·ω·i·ε
em,mechanics
m·v³·ω·i⁻²·ε
m = k₀ · v⁻³·ω⁻¹·i²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "omega": "1", "current": "-2", "permittivity": "1"}
5
current,mass,omega,permeability,velocity
m·v·ω·i·μ₀
em,mechanics
m·v·ω·i⁻²·μ₀⁻¹
m = k₀ · v⁻¹·ω⁻¹·i²·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "1", "current": "-2", "permeability": "-1"}
5
mass,omega,resistance,velocity,voltage
m·v·ω·U·R
em,mechanics
m·v²·ω·U⁻²·R
m = k₀ · v⁻²·ω⁻¹·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "omega": "1", "voltage": "-2", "resistance": "1"}
5
inductance,mass,omega,velocity,voltage
m·v·ω·U·L_e
em,mechanics
m·v²·ω²·U⁻²·L_e
m = k₀ · v⁻²·ω⁻²·U²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "omega": "2", "voltage": "-2", "inductance": "1"}
5
mass,omega,permittivity,velocity,voltage
m·v·ω·U·ε
em,mechanics
m·v·ω·U⁻²·ε⁻¹
m = k₀ · v⁻¹·ω⁻¹·U²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "1", "voltage": "-2", "permittivity": "-1"}
5
mass,omega,permeability,velocity,voltage
m·v·ω·U·μ₀
em,mechanics
m·v³·ω·U⁻²·μ₀
m = k₀ · v⁻³·ω⁻¹·U²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "omega": "1", "voltage": "-2", "permeability": "1"}
5
conductivity,mass,omega,velocity,voltage
m·v·ω·U·σ
em,mechanics
m·v·ω²·U⁻²·σ⁻¹
m = k₀ · v⁻¹·ω⁻²·U²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "omega": "2", "voltage": "-2", "conductivity": "-1"}
5
mass,omega,resistivity,velocity,voltage
m·v·ω·U·ρ_e
em,mechanics
m·v·ω²·U⁻²·ρ_e
m = k₀ · v⁻¹·ω⁻²·U²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "omega": "2", "voltage": "-2", "resistivity": "1"}
5
bfield,mass,omega,resistance,velocity
m·v·ω·R·B
em,mechanics
m·v⁻²·ω³·R·B⁻²
m = k₀ · v²·ω⁻³·R⁻¹·B²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-2", "omega": "3", "resistance": "1", "bfield": "-2"}
5
mag_flux,mass,omega,resistance,velocity
m·v·ω·R·Φ
em,mechanics
m·v²·ω⁻¹·R·Φ⁻²
m = k₀ · v⁻²·ω·R⁻¹·Φ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "omega": "-1", "resistance": "1", "mag_flux": "-2"}
5
elem_charge,mass,omega,resistance,velocity
m·v·ω·R·e
constants,em,mechanics
m·v²·ω⁻¹·R⁻¹·e⁻²
m = k₀ · v⁻²·ω·R·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "2", "omega": "-1", "resistance": "-1", "elem_charge": "-2"}
5
bfield,capacitance,mass,omega,velocity
m·v·ω·C_e·B
em,mechanics
m·v⁻²·ω²·C_e⁻¹·B⁻²
m = k₀ · v²·ω⁻²·C_e·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "omega": "2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,mag_flux,mass,omega,velocity
m·v·ω·C_e·Φ
em,mechanics
m·v²·ω⁻²·C_e⁻¹·Φ⁻²
m = k₀ · v⁻²·ω²·C_e·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "omega": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
bfield,inductance,mass,omega,velocity
m·v·ω·L_e·B
em,mechanics
m·v⁻²·ω⁴·L_e·B⁻²
m = k₀ · v²·ω⁻⁴·L_e⁻¹·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "-2", "omega": "4", "inductance": "1", "bfield": "-2"}
5
elem_charge,inductance,mass,omega,velocity
m·v·ω·L_e·e
constants,em,mechanics
m·v²·ω⁻²·L_e⁻¹·e⁻²
m = k₀ · v⁻²·ω²·L_e·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "omega": "-2", "inductance": "-1", "elem_charge": "-2"}
5
efield,mass,omega,permittivity,velocity
m·v·ω·E_f·ε
em,mechanics
m·v⁻¹·ω³·E_f⁻²·ε⁻¹
m = k₀ · v·ω⁻³·E_f²·ε
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "-1", "omega": "3", "efield": "-2", "permittivity": "-1"}
5
efield,mass,omega,permeability,velocity
m·v·ω·E_f·μ₀
em,mechanics
m·v·ω³·E_f⁻²·μ₀
m = k₀ · v⁻¹·ω⁻³·E_f²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "1", "omega": "3", "efield": "-2", "permeability": "1"}
5
conductivity,efield,mass,omega,velocity
m·v·ω·E_f·σ
em,mechanics
m·v⁻¹·ω⁴·E_f⁻²·σ⁻¹
m = k₀ · v·ω⁻⁴·E_f²·σ
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "-1", "omega": "4", "efield": "-2", "conductivity": "-1"}
5
efield,mass,omega,resistivity,velocity
m·v·ω·E_f·ρ_e
em,mechanics
m·v⁻¹·ω⁴·E_f⁻²·ρ_e
m = k₀ · v·ω⁻⁴·E_f²·ρ_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "-1", "omega": "4", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,mass,omega,velocity
m·v·ω·E_f·e
constants,em,mechanics
m·v·ω·E_f⁻¹·e⁻¹
m = k₀ · v⁻¹·ω⁻¹·E_f·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "omega": "1", "efield": "-1", "elem_charge": "-1"}
5
bfield,mass,omega,permittivity,velocity
m·v·ω·B·ε
em,mechanics
m·v⁻³·ω³·B⁻²·ε⁻¹
m = k₀ · v³·ω⁻³·B²·ε
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "-3", "omega": "3", "bfield": "-2", "permittivity": "-1"}
5
bfield,mass,omega,permeability,velocity
m·v·ω·B·μ₀
em,mechanics
m·v⁻¹·ω³·B⁻²·μ₀
m = k₀ · v·ω⁻³·B²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "-1", "omega": "3", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,mass,omega,velocity
m·v·ω·B·σ
em,mechanics
m·v⁻³·ω⁴·B⁻²·σ⁻¹
m = k₀ · v³·ω⁻⁴·B²·σ
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "-3", "omega": "4", "bfield": "-2", "conductivity": "-1"}
5
bfield,mass,omega,resistivity,velocity
m·v·ω·B·ρ_e
em,mechanics
m·v⁻³·ω⁴·B⁻²·ρ_e
m = k₀ · v³·ω⁻⁴·B²·ρ_e⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "-3", "omega": "4", "bfield": "-2", "resistivity": "1"}
5
mag_flux,mass,omega,permittivity,velocity
m·v·ω·Φ·ε
em,mechanics
m·v·ω⁻¹·Φ⁻²·ε⁻¹
m = k₀ · v⁻¹·ω·Φ²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "omega": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
mag_flux,mass,omega,permeability,velocity
m·v·ω·Φ·μ₀
em,mechanics
m·v³·ω⁻¹·Φ⁻²·μ₀
m = k₀ · v⁻³·ω·Φ²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "omega": "-1", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,mag_flux,mass,omega,velocity
m·v·ω·Φ·e
constants,em,mechanics
m·v²·ω⁻¹·Φ⁻¹·e⁻¹
m = k₀ · v⁻²·ω·Φ·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "omega": "-1", "mag_flux": "-1", "elem_charge": "-1"}
5
elem_charge,mass,omega,permittivity,velocity
m·v·ω·ε·e
constants,em,mechanics
m·v³·ω⁻¹·ε·e⁻²
m = k₀ · v⁻³·ω·ε⁻¹·e²
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "velocity": "3", "omega": "-1", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,omega,permeability,velocity
m·v·ω·μ₀·e
constants,em,mechanics
m·v·ω⁻¹·μ₀⁻¹·e⁻²
m = k₀ · v⁻¹·ω·μ₀·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "omega": "-1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,mass,omega,velocity
m·v·ω·σ·e
constants,em,mechanics
m·v³·ω⁻²·σ·e⁻²
m = k₀ · v⁻³·ω²·σ⁻¹·e²
null
1
3
3
9
8
1
false
{"mass": "1", "velocity": "3", "omega": "-2", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,omega,resistivity,velocity
m·v·ω·ρ_e·e
constants,em,mechanics
m·v³·ω⁻²·ρ_e⁻¹·e⁻²
m = k₀ · v⁻³·ω²·ρ_e·e²
null
1
3
3
9
8
1
false
{"mass": "1", "velocity": "3", "omega": "-2", "resistivity": "-1", "elem_charge": "-2"}
5
concentration,mass,molar_mass,omega,velocity
m·v·ω·M_m·c_n
chemistry,mechanics
m·v⁻³·ω³·M_m⁻¹·c_n⁻¹
m = k₀ · v³·ω⁻³·M_m·c_n
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-3", "omega": "3", "molar_mass": "-1", "concentration": "-1"}
5
concentration,mass,molar_energy,omega,velocity
m·v·ω·c_n·E_m
chemistry,mechanics
m·v⁻¹·ω³·c_n⁻¹·E_m⁻¹
m = k₀ · v·ω⁻³·c_n·E_m
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "-1", "omega": "3", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,mass,molar_energy,omega,velocity
m·v·ω·E_m·z
chemistry,mechanics
m·v²·ω·E_m⁻¹·z⁻¹
m = k₀ · v⁻²·ω⁻¹·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "omega": "1", "molar_energy": "-1", "cat_activity": "-1"}
4
grav_const,mass,omega,velocity
m·v·ω·G
constants,mechanics
m·v⁻³·ω·G
m = k₀ · v³·ω⁻¹·G⁻¹
null
1
2
3
6
5
4.5
true
{"mass": "1", "velocity": "-3", "omega": "1", "grav_const": "1"}
4
mass,omega,planck,velocity
m·v·ω·h
constants,mechanics
m·v²·ω⁻¹·h⁻¹
m = k₀ · v⁻²·ω·h
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "velocity": "2", "omega": "-1", "planck": "-1"}
5
frequency,mass,temperature,thermal_cond,velocity
m·v·f·Θ·κ
mechanics,thermo
m·v·f²·Θ⁻¹·κ⁻¹
m = k₀ · v⁻¹·f⁻²·Θ·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "2", "temperature": "-1", "thermal_cond": "-1"}
6
concentration,frequency,gas_constant,mass,temperature,velocity
m·v·f·Θ·c_n·R
chemistry,mechanics,thermo
m·v⁻¹·f³·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · v·f⁻³·Θ·c_n·R
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "-1", "frequency": "3", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,frequency,gas_constant,mass,temperature,velocity
m·v·f·Θ·R·z
chemistry,mechanics,thermo
m·v²·f·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · v⁻²·f⁻¹·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "frequency": "1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
5
frequency,mass,specific_heat,thermal_cond,velocity
m·v·f·c·κ
mechanics,thermo
m·v⁻¹·f²·c·κ⁻¹
m = k₀ · v·f⁻²·c⁻¹·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "frequency": "2", "specific_heat": "1", "thermal_cond": "-1"}
6
concentration,frequency,gas_constant,mass,specific_heat,velocity
m·v·f·c·c_n·R
chemistry,mechanics,thermo
m·v⁻³·f³·c·c_n⁻¹·R⁻¹
m = k₀ · v³·f⁻³·c⁻¹·c_n·R
null
0
3
3
10
9
0
false
{"mass": "1", "velocity": "-3", "frequency": "3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}