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
area,capacitance,current,mass,time
m·t·A·i·C_e
em,mechanics
m·t⁻⁴·A·i⁻²·C_e
m = k₀ · t⁴·A⁻¹·i²·C_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "area": "1", "current": "-2", "capacitance": "1"}
5
area,current,inductance,mass,time
m·t·A·i·L_e
em,mechanics
m·t⁻²·A·i⁻²·L_e⁻¹
m = k₀ · t²·A⁻¹·i²·L_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "area": "1", "current": "-2", "inductance": "-1"}
5
area,current,efield,mass,time
m·t·A·i·E_f
em,mechanics
m²·t⁻⁶·A·i⁻²·E_f⁻²
A = k₀ · m⁻²·t⁶·i²·E_f²
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "time": "-6", "area": "1", "current": "-2", "efield": "-2"}
5
area,current,mag_flux,mass,time
m·t·A·i·Φ
em,mechanics
m·t⁻²·A·i⁻¹·Φ⁻¹
m = k₀ · t²·A⁻¹·i·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "current": "-1", "mag_flux": "-1"}
5
area,current,mass,permittivity,time
m·t·A·i·ε
em,mechanics
m²·t⁻⁸·A³·i⁻⁴·ε²
m = k₀ · t⁴·A⁻³ᐟ²·i²·ε⁻¹
null
0
2
8
19
16.9
-7.4
false
{"mass": "2", "time": "-8", "area": "3", "current": "-4", "permittivity": "2"}
5
area,current,mass,permeability,time
m·t·A·i·μ₀
em,mechanics
m²·t⁻⁴·A·i⁻⁴·μ₀⁻²
A = k₀ · m⁻²·t⁴·i⁴·μ₀²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-4", "area": "1", "current": "-4", "permeability": "-2"}
5
area,conductivity,current,mass,time
m·t·A·i·σ
em,mechanics
m²·t⁻⁶·A³·i⁻⁴·σ²
m = k₀ · t³·A⁻³ᐟ²·i²·σ⁻¹
null
0
2
6
17
14.5
-5
false
{"mass": "2", "time": "-6", "area": "3", "current": "-4", "conductivity": "2"}
5
area,current,mass,resistivity,time
m·t·A·i·ρ_e
em,mechanics
m²·t⁻⁶·A³·i⁻⁴·ρ_e⁻²
m = k₀ · t³·A⁻³ᐟ²·i²·ρ_e
null
0
2
6
17
14.5
-5
false
{"mass": "2", "time": "-6", "area": "3", "current": "-4", "resistivity": "-2"}
5
area,mass,resistance,time,voltage
m·t·A·U·R
em,mechanics
m·t⁻³·A·U⁻²·R
m = k₀ · t³·A⁻¹·U²·R⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "area": "1", "voltage": "-2", "resistance": "1"}
5
area,capacitance,mass,time,voltage
m·t·A·U·C_e
em,mechanics
m·t⁻²·A·U⁻²·C_e⁻¹
m = k₀ · t²·A⁻¹·U²·C_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "area": "1", "voltage": "-2", "capacitance": "-1"}
5
area,inductance,mass,time,voltage
m·t·A·U·L_e
em,mechanics
m·t⁻⁴·A·U⁻²·L_e
m = k₀ · t⁴·A⁻¹·U²·L_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "area": "1", "voltage": "-2", "inductance": "1"}
5
area,mass,permittivity,time,voltage
m·t·A·U·ε
em,mechanics
m²·t⁻⁴·A·U⁻⁴·ε⁻²
A = k₀ · m⁻²·t⁴·U⁴·ε²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-4", "area": "1", "voltage": "-4", "permittivity": "-2"}
5
area,mass,permeability,time,voltage
m·t·A·U·μ₀
em,mechanics
m²·t⁻⁸·A³·U⁻⁴·μ₀²
m = k₀ · t⁴·A⁻³ᐟ²·U²·μ₀⁻¹
null
0
2
8
19
16.9
-7.4
false
{"mass": "2", "time": "-8", "area": "3", "voltage": "-4", "permeability": "2"}
5
area,conductivity,mass,time,voltage
m·t·A·U·σ
em,mechanics
m²·t⁻⁶·A·U⁻⁴·σ⁻²
A = k₀ · m⁻²·t⁶·U⁴·σ²
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "time": "-6", "area": "1", "voltage": "-4", "conductivity": "-2"}
5
area,mass,resistivity,time,voltage
m·t·A·U·ρ_e
em,mechanics
m²·t⁻⁶·A·U⁻⁴·ρ_e²
A = k₀ · m⁻²·t⁶·U⁴·ρ_e⁻²
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "time": "-6", "area": "1", "voltage": "-4", "resistivity": "2"}
5
area,elem_charge,mass,time,voltage
m·t·A·U·e
constants,em,mechanics
m·t⁻²·A·U⁻¹·e⁻¹
m = k₀ · t²·A⁻¹·U·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "area": "1", "voltage": "-1", "elem_charge": "-1"}
5
area,bfield,mass,resistance,time
m·t·A·R·B
em,mechanics
m·t⁻¹·A⁻¹·R·B⁻²
m = k₀ · t·A·R⁻¹·B²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "area": "-1", "resistance": "1", "bfield": "-2"}
5
area,mag_flux,mass,resistance,time
m·t·A·R·Φ
em,mechanics
m·t⁻¹·A·R·Φ⁻²
m = k₀ · t·A⁻¹·R⁻¹·Φ²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "area": "1", "resistance": "1", "mag_flux": "-2"}
5
area,elem_charge,mass,resistance,time
m·t·A·R·e
constants,em,mechanics
m·t⁻¹·A·R⁻¹·e⁻²
m = k₀ · t·A⁻¹·R·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "area": "1", "resistance": "-1", "elem_charge": "-2"}
5
area,capacitance,elem_charge,mass,time
m·t·A·C_e·e
constants,em,mechanics
m·t⁻²·A·C_e·e⁻²
m = k₀ · t²·A⁻¹·C_e⁻¹·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "area": "1", "capacitance": "1", "elem_charge": "-2"}
5
area,bfield,inductance,mass,time
m·t·A·L_e·B
em,mechanics
m·t⁻²·A⁻¹·L_e·B⁻²
m = k₀ · t²·A·L_e⁻¹·B²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "area": "-1", "inductance": "1", "bfield": "-2"}
5
area,inductance,mag_flux,mass,time
m·t·A·L_e·Φ
em,mechanics
m·t⁻²·A·L_e·Φ⁻²
m = k₀ · t²·A⁻¹·L_e⁻¹·Φ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "area": "1", "inductance": "1", "mag_flux": "-2"}
5
area,efield,mass,permittivity,time
m·t·A·E_f·ε
em,mechanics
m²·t⁻⁴·A⁻¹·E_f⁻⁴·ε⁻²
A = k₀ · m²·t⁻⁴·E_f⁻⁴·ε⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-4", "area": "-1", "efield": "-4", "permittivity": "-2"}
5
area,efield,mass,permeability,time
m·t·A·E_f·μ₀
em,mechanics
m²·t⁻⁸·A·E_f⁻⁴·μ₀²
A = k₀ · m⁻²·t⁸·E_f⁴·μ₀⁻²
null
0
2
8
17
15.5
-6
false
{"mass": "2", "time": "-8", "area": "1", "efield": "-4", "permeability": "2"}
5
area,conductivity,efield,mass,time
m·t·A·E_f·σ
em,mechanics
m²·t⁻⁶·A⁻¹·E_f⁻⁴·σ⁻²
A = k₀ · m²·t⁻⁶·E_f⁻⁴·σ⁻²
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "time": "-6", "area": "-1", "efield": "-4", "conductivity": "-2"}
5
area,efield,mass,resistivity,time
m·t·A·E_f·ρ_e
em,mechanics
m²·t⁻⁶·A⁻¹·E_f⁻⁴·ρ_e²
A = k₀ · m²·t⁻⁶·E_f⁻⁴·ρ_e²
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "time": "-6", "area": "-1", "efield": "-4", "resistivity": "2"}
5
area,efield,elem_charge,mass,time
m·t·A·E_f·e
constants,em,mechanics
m²·t⁻⁴·A·E_f⁻²·e⁻²
A = k₀ · m⁻²·t⁴·E_f²·e²
null
1
3
4
11
9.9
-0.9
false
{"mass": "2", "time": "-4", "area": "1", "efield": "-2", "elem_charge": "-2"}
5
area,bfield,mass,permeability,time
m·t·A·B·μ₀
em,mechanics
m²·t⁻⁴·A⁻¹·B⁻⁴·μ₀²
A = k₀ · m²·t⁻⁴·B⁻⁴·μ₀²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-4", "area": "-1", "bfield": "-4", "permeability": "2"}
5
area,bfield,conductivity,mass,time
m·t·A·B·σ
em,mechanics
m²·t⁻²·A⁻³·B⁻⁴·σ⁻²
m = k₀ · t·A³ᐟ²·B²·σ
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-2", "area": "-3", "bfield": "-4", "conductivity": "-2"}
5
area,bfield,mass,resistivity,time
m·t·A·B·ρ_e
em,mechanics
m²·t⁻²·A⁻³·B⁻⁴·ρ_e²
m = k₀ · t·A³ᐟ²·B²·ρ_e⁻¹
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-2", "area": "-3", "bfield": "-4", "resistivity": "2"}
5
area,mag_flux,mass,permeability,time
m·t·A·Φ·μ₀
em,mechanics
m²·t⁻⁴·A³·Φ⁻⁴·μ₀²
m = k₀ · t²·A⁻³ᐟ²·Φ²·μ₀⁻¹
null
0
2
4
15
12.1
-2.6
false
{"mass": "2", "time": "-4", "area": "3", "mag_flux": "-4", "permeability": "2"}
5
area,conductivity,mag_flux,mass,time
m·t·A·Φ·σ
em,mechanics
m²·t⁻²·A·Φ⁻⁴·σ⁻²
A = k₀ · m⁻²·t²·Φ⁴·σ²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "time": "-2", "area": "1", "mag_flux": "-4", "conductivity": "-2"}
5
area,mag_flux,mass,resistivity,time
m·t·A·Φ·ρ_e
em,mechanics
m²·t⁻²·A·Φ⁻⁴·ρ_e²
A = k₀ · m⁻²·t²·Φ⁴·ρ_e⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "time": "-2", "area": "1", "mag_flux": "-4", "resistivity": "2"}
5
area,elem_charge,mag_flux,mass,time
m·t·A·Φ·e
constants,em,mechanics
m·t⁻¹·A·Φ⁻¹·e⁻¹
m = k₀ · t·A⁻¹·Φ·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "area": "1", "mag_flux": "-1", "elem_charge": "-1"}
5
area,elem_charge,mass,permittivity,time
m·t·A·ε·e
constants,em,mechanics
m²·t⁻⁴·A³·ε²·e⁻⁴
m = k₀ · t²·A⁻³ᐟ²·ε⁻¹·e²
null
1
3
4
15
12.7
-3.7
false
{"mass": "2", "time": "-4", "area": "3", "permittivity": "2", "elem_charge": "-4"}
5
area,conductivity,elem_charge,mass,time
m·t·A·σ·e
constants,em,mechanics
m²·t⁻²·A³·σ²·e⁻⁴
m = k₀ · t·A⁻³ᐟ²·σ⁻¹·e²
null
1
3
4
13
11.3
-2.3
false
{"mass": "2", "time": "-2", "area": "3", "conductivity": "2", "elem_charge": "-4"}
5
area,elem_charge,mass,resistivity,time
m·t·A·ρ_e·e
constants,em,mechanics
m²·t⁻²·A³·ρ_e⁻²·e⁻⁴
m = k₀ · t·A⁻³ᐟ²·ρ_e·e²
null
1
3
4
13
11.3
-2.3
false
{"mass": "2", "time": "-2", "area": "3", "resistivity": "-2", "elem_charge": "-4"}
5
amount,area,mass,molar_energy,time
m·t·A·n·E_m
chemistry,mechanics
m·t⁻²·A·n⁻¹·E_m⁻¹
m = k₀ · t²·A⁻¹·n·E_m
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "area": "1", "amount": "-1", "molar_energy": "-1"}
5
area,concentration,mass,molar_energy,time
m·t·A·c_n·E_m
chemistry,mechanics
m²·t⁻⁴·A⁻¹·c_n⁻²·E_m⁻²
A = k₀ · m²·t⁻⁴·c_n⁻²·E_m⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "time": "-4", "area": "-1", "concentration": "-2", "molar_energy": "-2"}
6
area,boltzmann,gas_constant,mass,molar_energy,time
m·t·A·E_m·R·k_B
chemistry,constants,mechanics
m·t⁻²·A·E_m⁻¹·R·k_B⁻¹
m = k₀ · t²·A⁻¹·E_m·R⁻¹·k_B
null
1
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "area": "1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
area,cat_activity,mass,molar_energy,time
m·t·A·E_m·z
chemistry,mechanics
m·t⁻³·A·E_m⁻¹·z⁻¹
m = k₀ · t³·A⁻¹·E_m·z
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "area": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
area,avogadro,mass,molar_energy,time
m·t·A·E_m·N_A
chemistry,constants,mechanics
m·t⁻²·A·E_m⁻¹·N_A
m = k₀ · t²·A⁻¹·E_m·N_A⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "area": "1", "molar_energy": "-1", "avogadro": "1"}
4
area,grav_const,mass,time
m·t·A·G
constants,mechanics
m²·t⁴·A⁻³·G²
m = k₀ · t⁻²·A³ᐟ²·G⁻¹
null
1
2
4
11
9
0.5
false
{"mass": "2", "time": "4", "area": "-3", "grav_const": "2"}
4
area,mass,planck,time
m·t·A·h
constants,mechanics
m·t⁻¹·A·h⁻¹
m = k₀ · t·A⁻¹·h
null
1
2
1
4
2.6
6.9
true
{"mass": "1", "time": "-1", "area": "1", "planck": "-1"}
5
entropy,mass,temperature,time,volume
m·t·V·Θ·S_e
mechanics,thermo
m³·t⁻⁶·V²·Θ⁻³·S_e⁻³
V = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·S_e³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "temperature": "-3", "entropy": "-3"}
5
heat_capacity,mass,temperature,time,volume
m·t·V·Θ·C
mechanics,thermo
m³·t⁻⁶·V²·Θ⁻³·C⁻³
V = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·C³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "temperature": "-3", "heat_capacity": "-3"}
5
mass,temperature,thermal_cond,time,volume
m·t·V·Θ·κ
mechanics,thermo
m³·t⁻⁹·V·Θ⁻³·κ⁻³
V = k₀ · m⁻³·t⁹·Θ³·κ³
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "time": "-9", "volume": "1", "temperature": "-3", "thermal_cond": "-3"}
6
amount,gas_constant,mass,temperature,time,volume
m·t·V·Θ·n·R
chemistry,mechanics,thermo
m³·t⁻⁶·V²·Θ⁻³·n⁻³·R⁻³
V = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·n³ᐟ²·R³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "volume": "2", "temperature": "-3", "amount": "-3", "gas_constant": "-3"}
6
concentration,gas_constant,mass,temperature,time,volume
m·t·V·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·V⁻¹·Θ⁻³·c_n⁻³·R⁻³
V = k₀ · m³·t⁻⁶·Θ⁻³·c_n⁻³·R⁻³
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-6", "volume": "-1", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,gas_constant,mass,temperature,time,volume
m·t·V·Θ·R·z
chemistry,mechanics,thermo
m³·t⁻⁹·V²·Θ⁻³·R⁻³·z⁻³
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·Θ³ᐟ²·R³ᐟ²·z³ᐟ²
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "time": "-9", "volume": "2", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,gas_constant,mass,temperature,time,volume
m·t·V·Θ·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁶·V²·Θ⁻³·R⁻³·N_A³
V = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·R³ᐟ²·N_A⁻³ᐟ²
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "time": "-6", "volume": "2", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,mass,temperature,time,volume
m·t·V·Θ·k_B
constants,mechanics,thermo
m³·t⁻⁶·V²·Θ⁻³·k_B⁻³
V = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·k_B³ᐟ²
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "time": "-6", "volume": "2", "temperature": "-3", "boltzmann": "-3"}
5
entropy,expansion,mass,time,volume
m·t·V·S_e·β
mechanics,thermo
m³·t⁻⁶·V²·S_e⁻³·β³
V = k₀ · m⁻³ᐟ²·t³·S_e³ᐟ²·β⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "entropy": "-3", "expansion": "3"}
6
entropy,gas_constant,mass,molar_energy,time,volume
m·t·V·S_e·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁶·V²·S_e⁻³·E_m⁻³·R³
V = k₀ · m⁻³ᐟ²·t³·S_e³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "volume": "2", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
expansion,heat_capacity,mass,time,volume
m·t·V·C·β
mechanics,thermo
m³·t⁻⁶·V²·C⁻³·β³
V = k₀ · m⁻³ᐟ²·t³·C³ᐟ²·β⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "heat_capacity": "-3", "expansion": "3"}
6
gas_constant,heat_capacity,mass,molar_energy,time,volume
m·t·V·C·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁶·V²·C⁻³·E_m⁻³·R³
V = k₀ · m⁻³ᐟ²·t³·C³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "volume": "2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
mass,specific_heat,thermal_cond,time,volume
m·t·V·c·κ
mechanics,thermo
m³·t⁻³·V⁻¹·c³·κ⁻³
V = k₀ · m³·t⁻³·c³·κ⁻³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "time": "-3", "volume": "-1", "specific_heat": "3", "thermal_cond": "-3"}
5
expansion,mass,thermal_cond,time,volume
m·t·V·κ·β
mechanics,thermo
m³·t⁻⁹·V·κ⁻³·β³
V = k₀ · m⁻³·t⁹·κ³·β⁻³
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "time": "-9", "volume": "1", "thermal_cond": "-3", "expansion": "3"}
6
gas_constant,mass,molar_mass,thermal_cond,time,volume
m·t·V·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻³·V⁻¹·κ⁻³·M_m⁻³·R³
V = k₀ · m³·t⁻³·κ⁻³·M_m⁻³·R³
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "time": "-3", "volume": "-1", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
gas_constant,mass,molar_energy,thermal_cond,time,volume
m·t·V·κ·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁹·V·κ⁻³·E_m⁻³·R³
V = k₀ · m⁻³·t⁹·κ³·E_m³·R⁻³
null
0
3
9
22
20.4
-11.4
false
{"mass": "3", "time": "-9", "volume": "1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
amount,expansion,gas_constant,mass,time,volume
m·t·V·β·n·R
chemistry,mechanics,thermo
m³·t⁻⁶·V²·β³·n⁻³·R⁻³
V = k₀ · m⁻³ᐟ²·t³·β⁻³ᐟ²·n³ᐟ²·R³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "volume": "2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
concentration,expansion,gas_constant,mass,time,volume
m·t·V·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·V⁻¹·β³·c_n⁻³·R⁻³
V = k₀ · m³·t⁻⁶·β³·c_n⁻³·R⁻³
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-6", "volume": "-1", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,expansion,gas_constant,mass,time,volume
m·t·V·β·R·z
chemistry,mechanics,thermo
m³·t⁻⁹·V²·β³·R⁻³·z⁻³
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·β⁻³ᐟ²·R³ᐟ²·z³ᐟ²
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "time": "-9", "volume": "2", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,expansion,gas_constant,mass,time,volume
m·t·V·β·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁶·V²·β³·R⁻³·N_A³
V = k₀ · m⁻³ᐟ²·t³·β⁻³ᐟ²·R³ᐟ²·N_A⁻³ᐟ²
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "time": "-6", "volume": "2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,expansion,mass,time,volume
m·t·V·β·k_B
constants,mechanics,thermo
m³·t⁻⁶·V²·β³·k_B⁻³
V = k₀ · m⁻³ᐟ²·t³·β⁻³ᐟ²·k_B³ᐟ²
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "time": "-6", "volume": "2", "expansion": "3", "boltzmann": "-3"}
5
charge,mass,time,voltage,volume
m·t·V·q·U
em,mechanics
m³·t⁻⁶·V²·q⁻³·U⁻³
V = k₀ · m⁻³ᐟ²·t³·q³ᐟ²·U³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "charge": "-3", "voltage": "-3"}
5
charge,mass,resistance,time,volume
m·t·V·q·R
em,mechanics
m³·t⁻³·V²·q⁻⁶·R⁻³
V = k₀ · m⁻³ᐟ²·t³ᐟ²·q³·R³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-3", "volume": "2", "charge": "-6", "resistance": "-3"}
5
capacitance,charge,mass,time,volume
m·t·V·q·C_e
em,mechanics
m³·t⁻⁶·V²·q⁻⁶·C_e³
V = k₀ · m⁻³ᐟ²·t³·q³·C_e⁻³ᐟ²
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "time": "-6", "volume": "2", "charge": "-6", "capacitance": "3"}
5
charge,efield,mass,time,volume
m·t·V·q·E_f
em,mechanics
m³·t⁻⁶·V·q⁻³·E_f⁻³
V = k₀ · m⁻³·t⁶·q³·E_f³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-6", "volume": "1", "charge": "-3", "efield": "-3"}
5
charge,mag_flux,mass,time,volume
m·t·V·q·Φ
em,mechanics
m³·t⁻³·V²·q⁻³·Φ⁻³
V = k₀ · m⁻³ᐟ²·t³ᐟ²·q³ᐟ²·Φ³ᐟ²
null
0
2
3
14
10.9
-1.4
false
{"mass": "3", "time": "-3", "volume": "2", "charge": "-3", "mag_flux": "-3"}
5
charge,mass,permittivity,time,volume
m·t·V·q·ε
em,mechanics
m·t⁻²·V·q⁻²·ε
m = k₀ · t²·V⁻¹·q²·ε⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "volume": "1", "charge": "-2", "permittivity": "1"}
5
charge,conductivity,mass,time,volume
m·t·V·q·σ
em,mechanics
m·t⁻¹·V·q⁻²·σ
m = k₀ · t·V⁻¹·q²·σ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "volume": "1", "charge": "-2", "conductivity": "1"}
5
charge,mass,resistivity,time,volume
m·t·V·q·ρ_e
em,mechanics
m·t⁻¹·V·q⁻²·ρ_e⁻¹
m = k₀ · t·V⁻¹·q²·ρ_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "volume": "1", "charge": "-2", "resistivity": "-1"}
5
current,mass,time,voltage,volume
m·t·V·i·U
em,mechanics
m³·t⁻⁹·V²·i⁻³·U⁻³
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·i³ᐟ²·U³ᐟ²
null
0
2
9
20
18.1
-8.6
false
{"mass": "3", "time": "-9", "volume": "2", "current": "-3", "voltage": "-3"}
5
current,mass,resistance,time,volume
m·t·V·i·R
em,mechanics
m³·t⁻⁹·V²·i⁻⁶·R⁻³
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·i³·R³ᐟ²
null
0
2
9
23
20.2
-10.7
false
{"mass": "3", "time": "-9", "volume": "2", "current": "-6", "resistance": "-3"}
5
capacitance,current,mass,time,volume
m·t·V·i·C_e
em,mechanics
m³·t⁻¹²·V²·i⁻⁶·C_e³
V = k₀ · m⁻³ᐟ²·t⁶·i³·C_e⁻³ᐟ²
null
0
2
12
26
23.8
-14.3
false
{"mass": "3", "time": "-12", "volume": "2", "current": "-6", "capacitance": "3"}
5
current,inductance,mass,time,volume
m·t·V·i·L_e
em,mechanics
m³·t⁻⁶·V²·i⁻⁶·L_e⁻³
V = k₀ · m⁻³ᐟ²·t³·i³·L_e³ᐟ²
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "time": "-6", "volume": "2", "current": "-6", "inductance": "-3"}
5
current,efield,mass,time,volume
m·t·V·i·E_f
em,mechanics
m³·t⁻⁹·V·i⁻³·E_f⁻³
V = k₀ · m⁻³·t⁹·i³·E_f³
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "time": "-9", "volume": "1", "current": "-3", "efield": "-3"}
5
current,mag_flux,mass,time,volume
m·t·V·i·Φ
em,mechanics
m³·t⁻⁶·V²·i⁻³·Φ⁻³
V = k₀ · m⁻³ᐟ²·t³·i³ᐟ²·Φ³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "current": "-3", "mag_flux": "-3"}
5
current,mass,permittivity,time,volume
m·t·V·i·ε
em,mechanics
m·t⁻⁴·V·i⁻²·ε
m = k₀ · t⁴·V⁻¹·i²·ε⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "volume": "1", "current": "-2", "permittivity": "1"}
5
current,mass,permeability,time,volume
m·t·V·i·μ₀
em,mechanics
m³·t⁻⁶·V·i⁻⁶·μ₀⁻³
V = k₀ · m⁻³·t⁶·i⁶·μ₀³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "time": "-6", "volume": "1", "current": "-6", "permeability": "-3"}
5
conductivity,current,mass,time,volume
m·t·V·i·σ
em,mechanics
m·t⁻³·V·i⁻²·σ
m = k₀ · t³·V⁻¹·i²·σ⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "volume": "1", "current": "-2", "conductivity": "1"}
5
current,mass,resistivity,time,volume
m·t·V·i·ρ_e
em,mechanics
m·t⁻³·V·i⁻²·ρ_e⁻¹
m = k₀ · t³·V⁻¹·i²·ρ_e
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "volume": "1", "current": "-2", "resistivity": "-1"}
5
mass,resistance,time,voltage,volume
m·t·V·U·R
em,mechanics
m³·t⁻⁹·V²·U⁻⁶·R³
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·U³·R⁻³ᐟ²
null
0
2
9
23
20.2
-10.7
false
{"mass": "3", "time": "-9", "volume": "2", "voltage": "-6", "resistance": "3"}
5
capacitance,mass,time,voltage,volume
m·t·V·U·C_e
em,mechanics
m³·t⁻⁶·V²·U⁻⁶·C_e⁻³
V = k₀ · m⁻³ᐟ²·t³·U³·C_e³ᐟ²
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "time": "-6", "volume": "2", "voltage": "-6", "capacitance": "-3"}
5
inductance,mass,time,voltage,volume
m·t·V·U·L_e
em,mechanics
m³·t⁻¹²·V²·U⁻⁶·L_e³
V = k₀ · m⁻³ᐟ²·t⁶·U³·L_e⁻³ᐟ²
null
0
2
12
26
23.8
-14.3
false
{"mass": "3", "time": "-12", "volume": "2", "voltage": "-6", "inductance": "3"}
5
mass,permittivity,time,voltage,volume
m·t·V·U·ε
em,mechanics
m³·t⁻⁶·V·U⁻⁶·ε⁻³
V = k₀ · m⁻³·t⁶·U⁶·ε³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "time": "-6", "volume": "1", "voltage": "-6", "permittivity": "-3"}
5
mass,permeability,time,voltage,volume
m·t·V·U·μ₀
em,mechanics
m·t⁻⁴·V·U⁻²·μ₀
m = k₀ · t⁴·V⁻¹·U²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "volume": "1", "voltage": "-2", "permeability": "1"}
5
conductivity,mass,time,voltage,volume
m·t·V·U·σ
em,mechanics
m³·t⁻⁹·V·U⁻⁶·σ⁻³
V = k₀ · m⁻³·t⁹·U⁶·σ³
null
0
2
9
22
19.5
-10
false
{"mass": "3", "time": "-9", "volume": "1", "voltage": "-6", "conductivity": "-3"}
5
mass,resistivity,time,voltage,volume
m·t·V·U·ρ_e
em,mechanics
m³·t⁻⁹·V·U⁻⁶·ρ_e³
V = k₀ · m⁻³·t⁹·U⁶·ρ_e⁻³
null
0
2
9
22
19.5
-10
false
{"mass": "3", "time": "-9", "volume": "1", "voltage": "-6", "resistivity": "3"}
5
elem_charge,mass,time,voltage,volume
m·t·V·U·e
constants,em,mechanics
m³·t⁻⁶·V²·U⁻³·e⁻³
V = k₀ · m⁻³ᐟ²·t³·U³ᐟ²·e³ᐟ²
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "time": "-6", "volume": "2", "voltage": "-3", "elem_charge": "-3"}
5
bfield,mass,resistance,time,volume
m·t·V·R·B
em,mechanics
m³·t⁻³·V⁻²·R³·B⁻⁶
V = k₀ · m³ᐟ²·t⁻³ᐟ²·R³ᐟ²·B⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-3", "volume": "-2", "resistance": "3", "bfield": "-6"}
5
mag_flux,mass,resistance,time,volume
m·t·V·R·Φ
em,mechanics
m³·t⁻³·V²·R³·Φ⁻⁶
V = k₀ · m⁻³ᐟ²·t³ᐟ²·R⁻³ᐟ²·Φ³
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-3", "volume": "2", "resistance": "3", "mag_flux": "-6"}
5
elem_charge,mass,resistance,time,volume
m·t·V·R·e
constants,em,mechanics
m³·t⁻³·V²·R⁻³·e⁻⁶
V = k₀ · m⁻³ᐟ²·t³ᐟ²·R³ᐟ²·e³
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "time": "-3", "volume": "2", "resistance": "-3", "elem_charge": "-6"}
5
capacitance,elem_charge,mass,time,volume
m·t·V·C_e·e
constants,em,mechanics
m³·t⁻⁶·V²·C_e³·e⁻⁶
V = k₀ · m⁻³ᐟ²·t³·C_e⁻³ᐟ²·e³
null
1
3
6
20
17.2
-8.2
false
{"mass": "3", "time": "-6", "volume": "2", "capacitance": "3", "elem_charge": "-6"}
5
bfield,inductance,mass,time,volume
m·t·V·L_e·B
em,mechanics
m³·t⁻⁶·V⁻²·L_e³·B⁻⁶
V = k₀ · m³ᐟ²·t⁻³·L_e³ᐟ²·B⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "time": "-6", "volume": "-2", "inductance": "3", "bfield": "-6"}
5
inductance,mag_flux,mass,time,volume
m·t·V·L_e·Φ
em,mechanics
m³·t⁻⁶·V²·L_e³·Φ⁻⁶
V = k₀ · m⁻³ᐟ²·t³·L_e⁻³ᐟ²·Φ³
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "time": "-6", "volume": "2", "inductance": "3", "mag_flux": "-6"}
5
efield,mass,permittivity,time,volume
m·t·V·E_f·ε
em,mechanics
m³·t⁻⁶·V⁻¹·E_f⁻⁶·ε⁻³
V = k₀ · m³·t⁻⁶·E_f⁻⁶·ε⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "time": "-6", "volume": "-1", "efield": "-6", "permittivity": "-3"}
5
efield,mass,permeability,time,volume
m·t·V·E_f·μ₀
em,mechanics
m³·t⁻¹²·V·E_f⁻⁶·μ₀³
V = k₀ · m⁻³·t¹²·E_f⁶·μ₀⁻³
null
0
2
12
25
23.1
-13.6
false
{"mass": "3", "time": "-12", "volume": "1", "efield": "-6", "permeability": "3"}
5
conductivity,efield,mass,time,volume
m·t·V·E_f·σ
em,mechanics
m³·t⁻⁹·V⁻¹·E_f⁻⁶·σ⁻³
V = k₀ · m³·t⁻⁹·E_f⁻⁶·σ⁻³
null
0
2
9
22
19.5
-10
false
{"mass": "3", "time": "-9", "volume": "-1", "efield": "-6", "conductivity": "-3"}