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
6
cat_activity,gas_constant,length,mass,power,specific_heat
m·ℓ·P·c·R·z
chemistry,mechanics,thermo
m²·ℓ⁻²·P·c³·R⁻³·z⁻³
P = k₀ · m⁻²·ℓ²·c⁻³·R³·z³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "length": "-2", "power": "1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
amount,gas_constant,length,mass,power,thermal_cond
m·ℓ·P·κ·n·R
chemistry,mechanics,thermo
m·ℓ⁵·P⁻¹·κ³·n⁻³·R⁻³
m = k₀ · ℓ⁻⁵·P·κ⁻³·n³·R³
null
0
3
5
16
14.2
-5.2
false
{"mass": "1", "length": "5", "power": "-1", "thermal_cond": "3", "amount": "-3", "gas_constant": "-3"}
6
gas_constant,length,mass,molar_mass,power,thermal_cond
m·ℓ·P·κ·M_m·R
chemistry,mechanics,thermo
m²·ℓ⁻⁵·P·κ⁻³·M_m⁻³·R³
P = k₀ · m⁻²·ℓ⁵·κ³·M_m³·R⁻³
null
0
3
5
17
14.9
-5.9
false
{"mass": "2", "length": "-5", "power": "1", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
concentration,gas_constant,length,mass,power,thermal_cond
m·ℓ·P·κ·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁴·P⁻¹·κ³·c_n⁻³·R⁻³
m = k₀ · ℓ⁴·P·κ⁻³·c_n³·R³
null
0
3
4
15
13
-4
false
{"mass": "1", "length": "-4", "power": "-1", "thermal_cond": "3", "concentration": "-3", "gas_constant": "-3"}
6
avogadro,gas_constant,length,mass,power,thermal_cond
m·ℓ·P·κ·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁵·P⁻¹·κ³·R⁻³·N_A³
m = k₀ · ℓ⁻⁵·P·κ⁻³·R³·N_A⁻³
null
1
4
5
16
14.8
-6.3
false
{"mass": "1", "length": "5", "power": "-1", "thermal_cond": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,length,mass,power,thermal_cond
m·ℓ·P·κ·k_B
constants,mechanics,thermo
m·ℓ⁵·P⁻¹·κ³·k_B⁻³
m = k₀ · ℓ⁻⁵·P·κ⁻³·k_B³
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "length": "5", "power": "-1", "thermal_cond": "3", "boltzmann": "-3"}
4
length,mass,power,thermal_diff
m·ℓ·P·α
mechanics,thermo
m·ℓ⁻⁴·P⁻¹·α³
m = k₀ · ℓ⁴·P·α⁻³
null
0
2
4
9
7.6
1.9
false
{"mass": "1", "length": "-4", "power": "-1", "thermal_diff": "3"}
6
amount,expansion,gas_constant,length,mass,power
m·ℓ·P·β·n·R
chemistry,mechanics,thermo
m·ℓ²·P²·β³·n⁻³·R⁻³
m = k₀ · ℓ⁻²·P⁻²·β⁻³·n³·R³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "length": "2", "power": "2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
expansion,gas_constant,length,mass,molar_mass,power
m·ℓ·P·β·M_m·R
chemistry,mechanics,thermo
m²·ℓ⁻²·P⁻²·β⁻³·M_m⁻³·R³
m = k₀ · ℓ·P·β³ᐟ²·M_m³ᐟ²·R⁻³ᐟ²
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "length": "-2", "power": "-2", "expansion": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
concentration,expansion,gas_constant,length,mass,power
m·ℓ·P·β·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁷·P²·β³·c_n⁻³·R⁻³
m = k₀ · ℓ⁷·P⁻²·β⁻³·c_n³·R³
null
0
3
7
19
17.3
-8.3
false
{"mass": "1", "length": "-7", "power": "2", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
avogadro,expansion,gas_constant,length,mass,power
m·ℓ·P·β·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ²·P²·β³·R⁻³·N_A³
m = k₀ · ℓ⁻²·P⁻²·β⁻³·R³·N_A⁻³
null
1
4
3
14
12.4
-3.9
false
{"mass": "1", "length": "2", "power": "2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,expansion,length,mass,power
m·ℓ·P·β·k_B
constants,mechanics,thermo
m·ℓ²·P²·β³·k_B⁻³
m = k₀ · ℓ⁻²·P⁻²·β⁻³·k_B³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "length": "2", "power": "2", "expansion": "3", "boltzmann": "-3"}
5
charge,current,length,mass,power
m·ℓ·P·q·i
em,mechanics
m·ℓ²·P⁻¹·q⁻³·i³
m = k₀ · ℓ⁻²·P·q³·i⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "charge": "-3", "current": "3"}
5
charge,length,mass,power,voltage
m·ℓ·P·q·U
em,mechanics
m·ℓ²·P²·q⁻³·U⁻³
m = k₀ · ℓ⁻²·P⁻²·q³·U³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "length": "2", "power": "2", "charge": "-3", "voltage": "-3"}
5
charge,length,mass,power,resistance
m·ℓ·P·q·R
em,mechanics
m²·ℓ⁴·P·q⁻⁶·R⁻³
P = k₀ · m⁻²·ℓ⁻⁴·q⁶·R³
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "length": "4", "power": "1", "charge": "-6", "resistance": "-3"}
5
capacitance,charge,length,mass,power
m·ℓ·P·q·C_e
em,mechanics
m·ℓ²·P²·q⁻⁶·C_e³
m = k₀ · ℓ⁻²·P⁻²·q⁶·C_e⁻³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "length": "2", "power": "2", "charge": "-6", "capacitance": "3"}
5
charge,efield,length,mass,power
m·ℓ·P·q·E_f
em,mechanics
m·ℓ⁻¹·P²·q⁻³·E_f⁻³
m = k₀ · ℓ·P⁻²·q³·E_f³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "-1", "power": "2", "charge": "-3", "efield": "-3"}
5
bfield,charge,length,mass,power
m·ℓ·P·q·B
em,mechanics
m²·ℓ⁻²·P·q⁻³·B⁻³
P = k₀ · m⁻²·ℓ²·q³·B³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "length": "-2", "power": "1", "charge": "-3", "bfield": "-3"}
5
charge,length,mag_flux,mass,power
m·ℓ·P·q·Φ
em,mechanics
m²·ℓ⁴·P·q⁻³·Φ⁻³
P = k₀ · m⁻²·ℓ⁻⁴·q³·Φ³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "length": "4", "power": "1", "charge": "-3", "mag_flux": "-3"}
5
charge,length,mass,permittivity,power
m·ℓ·P·q·ε
em,mechanics
m·ℓ⁵·P²·q⁻⁶·ε³
m = k₀ · ℓ⁻⁵·P⁻²·q⁶·ε⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "length": "5", "power": "2", "charge": "-6", "permittivity": "3"}
5
charge,conductivity,length,mass,power
m·ℓ·P·q·σ
em,mechanics
m²·ℓ⁷·P·q⁻⁶·σ³
P = k₀ · m⁻²·ℓ⁻⁷·q⁶·σ⁻³
null
0
2
7
19
16.4
-6.9
false
{"mass": "2", "length": "7", "power": "1", "charge": "-6", "conductivity": "3"}
5
charge,length,mass,power,resistivity
m·ℓ·P·q·ρ_e
em,mechanics
m²·ℓ⁷·P·q⁻⁶·ρ_e⁻³
P = k₀ · m⁻²·ℓ⁻⁷·q⁶·ρ_e³
null
0
2
7
19
16.4
-6.9
false
{"mass": "2", "length": "7", "power": "1", "charge": "-6", "resistivity": "-3"}
5
capacitance,current,length,mass,power
m·ℓ·P·i·C_e
em,mechanics
m·ℓ²·P⁻⁴·i⁶·C_e⁻³
m = k₀ · ℓ⁻²·P⁴·i⁻⁶·C_e³
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "length": "2", "power": "-4", "current": "6", "capacitance": "-3"}
5
current,inductance,length,mass,power
m·ℓ·P·i·L_e
em,mechanics
m·ℓ²·P²·i⁻⁶·L_e⁻³
m = k₀ · ℓ⁻²·P⁻²·i⁶·L_e³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "length": "2", "power": "2", "current": "-6", "inductance": "-3"}
5
bfield,current,length,mass,power
m·ℓ·P·i·B
em,mechanics
m·ℓ⁻⁴·P²·i⁻³·B⁻³
m = k₀ · ℓ⁴·P⁻²·i³·B³
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "length": "-4", "power": "2", "current": "-3", "bfield": "-3"}
5
current,length,mag_flux,mass,power
m·ℓ·P·i·Φ
em,mechanics
m·ℓ²·P²·i⁻³·Φ⁻³
m = k₀ · ℓ⁻²·P⁻²·i³·Φ³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "length": "2", "power": "2", "current": "-3", "mag_flux": "-3"}
5
current,length,mass,permittivity,power
m·ℓ·P·i·ε
em,mechanics
m·ℓ⁻¹·P⁻⁴·i⁶·ε⁻³
m = k₀ · ℓ·P⁴·i⁻⁶·ε³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "length": "-1", "power": "-4", "current": "6", "permittivity": "-3"}
5
current,length,mass,permeability,power
m·ℓ·P·i·μ₀
em,mechanics
m·ℓ⁻¹·P²·i⁻⁶·μ₀⁻³
m = k₀ · ℓ·P⁻²·i⁶·μ₀³
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "length": "-1", "power": "2", "current": "-6", "permeability": "-3"}
5
current,elem_charge,length,mass,power
m·ℓ·P·i·e
constants,em,mechanics
m·ℓ²·P⁻¹·i³·e⁻³
m = k₀ · ℓ⁻²·P·i⁻³·e³
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "length": "2", "power": "-1", "current": "3", "elem_charge": "-3"}
5
capacitance,length,mass,power,voltage
m·ℓ·P·U·C_e
em,mechanics
m·ℓ²·P²·U⁻⁶·C_e⁻³
m = k₀ · ℓ⁻²·P⁻²·U⁶·C_e³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "length": "2", "power": "2", "voltage": "-6", "capacitance": "-3"}
5
inductance,length,mass,power,voltage
m·ℓ·P·U·L_e
em,mechanics
m·ℓ²·P⁻⁴·U⁶·L_e⁻³
m = k₀ · ℓ⁻²·P⁴·U⁻⁶·L_e³
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "length": "2", "power": "-4", "voltage": "6", "inductance": "-3"}
5
bfield,length,mass,power,voltage
m·ℓ·P·U·B
em,mechanics
m·ℓ⁻⁴·P⁻¹·U³·B⁻³
m = k₀ · ℓ⁴·P·U⁻³·B³
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-4", "power": "-1", "voltage": "3", "bfield": "-3"}
5
length,mag_flux,mass,power,voltage
m·ℓ·P·U·Φ
em,mechanics
m·ℓ²·P⁻¹·U³·Φ⁻³
m = k₀ · ℓ⁻²·P·U⁻³·Φ³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "voltage": "3", "mag_flux": "-3"}
5
length,mass,permittivity,power,voltage
m·ℓ·P·U·ε
em,mechanics
m·ℓ⁻¹·P²·U⁻⁶·ε⁻³
m = k₀ · ℓ·P⁻²·U⁶·ε³
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "length": "-1", "power": "2", "voltage": "-6", "permittivity": "-3"}
5
length,mass,permeability,power,voltage
m·ℓ·P·U·μ₀
em,mechanics
m·ℓ⁻¹·P⁻⁴·U⁶·μ₀⁻³
m = k₀ · ℓ·P⁴·U⁻⁶·μ₀³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "length": "-1", "power": "-4", "voltage": "6", "permeability": "-3"}
5
elem_charge,length,mass,power,voltage
m·ℓ·P·U·e
constants,em,mechanics
m·ℓ²·P²·U⁻³·e⁻³
m = k₀ · ℓ⁻²·P⁻²·U³·e³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "length": "2", "power": "2", "voltage": "-3", "elem_charge": "-3"}
5
capacitance,length,mass,power,resistance
m·ℓ·P·R·C_e
em,mechanics
m·ℓ²·P⁻¹·R⁻³·C_e⁻³
m = k₀ · ℓ⁻²·P·R³·C_e³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "resistance": "-3", "capacitance": "-3"}
5
inductance,length,mass,power,resistance
m·ℓ·P·R·L_e
em,mechanics
m·ℓ²·P⁻¹·R³·L_e⁻³
m = k₀ · ℓ⁻²·P·R⁻³·L_e³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "resistance": "3", "inductance": "-3"}
5
bfield,length,mass,power,resistance
m·ℓ·P·R·B
em,mechanics
m²·ℓ⁻⁸·P·R³·B⁻⁶
P = k₀ · m⁻²·ℓ⁸·R⁻³·B⁶
null
0
2
8
20
17.6
-8.1
false
{"mass": "2", "length": "-8", "power": "1", "resistance": "3", "bfield": "-6"}
5
length,mag_flux,mass,power,resistance
m·ℓ·P·R·Φ
em,mechanics
m²·ℓ⁴·P·R³·Φ⁻⁶
P = k₀ · m⁻²·ℓ⁻⁴·R⁻³·Φ⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "length": "4", "power": "1", "resistance": "3", "mag_flux": "-6"}
5
length,mass,permittivity,power,resistance
m·ℓ·P·R·ε
em,mechanics
m·ℓ⁻¹·P⁻¹·R⁻³·ε⁻³
m = k₀ · ℓ·P·R³·ε³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-1", "power": "-1", "resistance": "-3", "permittivity": "-3"}
5
length,mass,permeability,power,resistance
m·ℓ·P·R·μ₀
em,mechanics
m·ℓ⁻¹·P⁻¹·R³·μ₀⁻³
m = k₀ · ℓ·P·R⁻³·μ₀³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-1", "power": "-1", "resistance": "3", "permeability": "-3"}
5
elem_charge,length,mass,power,resistance
m·ℓ·P·R·e
constants,em,mechanics
m²·ℓ⁴·P·R⁻³·e⁻⁶
P = k₀ · m⁻²·ℓ⁻⁴·R³·e⁶
null
1
3
6
16
14.4
-5.4
false
{"mass": "2", "length": "4", "power": "1", "resistance": "-3", "elem_charge": "-6"}
5
capacitance,inductance,length,mass,power
m·ℓ·P·C_e·L_e
em,mechanics
m²·ℓ⁴·P⁻²·C_e⁻³·L_e⁻³
m = k₀ · ℓ⁻²·P·C_e³ᐟ²·L_e³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "length": "4", "power": "-2", "capacitance": "-3", "inductance": "-3"}
5
capacitance,efield,length,mass,power
m·ℓ·P·C_e·E_f
em,mechanics
m·ℓ⁻⁴·P²·C_e⁻³·E_f⁻⁶
m = k₀ · ℓ⁴·P⁻²·C_e³·E_f⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "length": "-4", "power": "2", "capacitance": "-3", "efield": "-6"}
5
capacitance,length,mass,permeability,power
m·ℓ·P·C_e·μ₀
em,mechanics
m²·ℓ·P⁻²·C_e⁻³·μ₀⁻³
ℓ = k₀ · m⁻²·P²·C_e³·μ₀³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "length": "1", "power": "-2", "capacitance": "-3", "permeability": "-3"}
5
capacitance,conductivity,length,mass,power
m·ℓ·P·C_e·σ
em,mechanics
m·ℓ⁵·P⁻¹·C_e⁻³·σ³
m = k₀ · ℓ⁻⁵·P·C_e³·σ⁻³
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "length": "5", "power": "-1", "capacitance": "-3", "conductivity": "3"}
5
capacitance,length,mass,power,resistivity
m·ℓ·P·C_e·ρ_e
em,mechanics
m·ℓ⁵·P⁻¹·C_e⁻³·ρ_e⁻³
m = k₀ · ℓ⁻⁵·P·C_e³·ρ_e³
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "length": "5", "power": "-1", "capacitance": "-3", "resistivity": "-3"}
5
capacitance,elem_charge,length,mass,power
m·ℓ·P·C_e·e
constants,em,mechanics
m·ℓ²·P²·C_e³·e⁻⁶
m = k₀ · ℓ⁻²·P⁻²·C_e⁻³·e⁶
null
1
3
6
14
13
-4
false
{"mass": "1", "length": "2", "power": "2", "capacitance": "3", "elem_charge": "-6"}
5
efield,inductance,length,mass,power
m·ℓ·P·L_e·E_f
em,mechanics
m·ℓ⁸·P⁻⁴·L_e⁻³·E_f⁶
m = k₀ · ℓ⁻⁸·P⁴·L_e³·E_f⁻⁶
null
0
2
8
22
19
-9.5
false
{"mass": "1", "length": "8", "power": "-4", "inductance": "-3", "efield": "6"}
5
bfield,inductance,length,mass,power
m·ℓ·P·L_e·B
em,mechanics
m·ℓ⁻¹⁰·P²·L_e³·B⁻⁶
m = k₀ · ℓ¹⁰·P⁻²·L_e⁻³·B⁶
null
0
2
10
22
20
-10.5
false
{"mass": "1", "length": "-10", "power": "2", "inductance": "3", "bfield": "-6"}
5
inductance,length,mag_flux,mass,power
m·ℓ·P·L_e·Φ
em,mechanics
m·ℓ²·P²·L_e³·Φ⁻⁶
m = k₀ · ℓ⁻²·P⁻²·L_e⁻³·Φ⁶
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "length": "2", "power": "2", "inductance": "3", "mag_flux": "-6"}
5
inductance,length,mass,permittivity,power
m·ℓ·P·L_e·ε
em,mechanics
m²·ℓ·P⁻²·L_e⁻³·ε⁻³
ℓ = k₀ · m⁻²·P²·L_e³·ε³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "length": "1", "power": "-2", "inductance": "-3", "permittivity": "-3"}
5
conductivity,inductance,length,mass,power
m·ℓ·P·L_e·σ
em,mechanics
m·ℓ⁻¹·P⁻¹·L_e⁻³·σ⁻³
m = k₀ · ℓ·P·L_e³·σ³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-1", "power": "-1", "inductance": "-3", "conductivity": "-3"}
5
inductance,length,mass,power,resistivity
m·ℓ·P·L_e·ρ_e
em,mechanics
m·ℓ⁻¹·P⁻¹·L_e⁻³·ρ_e³
m = k₀ · ℓ·P·L_e³·ρ_e⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-1", "power": "-1", "inductance": "-3", "resistivity": "3"}
5
bfield,efield,length,mass,power
m·ℓ·P·E_f·B
em,mechanics
m·ℓ⁻¹·P⁻¹·E_f³·B⁻³
m = k₀ · ℓ·P·E_f⁻³·B³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-1", "power": "-1", "efield": "3", "bfield": "-3"}
5
efield,length,mag_flux,mass,power
m·ℓ·P·E_f·Φ
em,mechanics
m·ℓ⁵·P⁻¹·E_f³·Φ⁻³
m = k₀ · ℓ⁻⁵·P·E_f⁻³·Φ³
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "length": "5", "power": "-1", "efield": "3", "mag_flux": "-3"}
5
efield,length,mass,permittivity,power
m·ℓ·P·E_f·ε
em,mechanics
m·ℓ⁻⁷·P²·E_f⁻⁶·ε⁻³
m = k₀ · ℓ⁷·P⁻²·E_f⁶·ε³
null
0
2
7
19
16.4
-6.9
false
{"mass": "1", "length": "-7", "power": "2", "efield": "-6", "permittivity": "-3"}
5
efield,length,mass,permeability,power
m·ℓ·P·E_f·μ₀
em,mechanics
m·ℓ⁵·P⁻⁴·E_f⁶·μ₀⁻³
m = k₀ · ℓ⁻⁵·P⁴·E_f⁻⁶·μ₀³
null
0
2
6
19
15.9
-6.4
false
{"mass": "1", "length": "5", "power": "-4", "efield": "6", "permeability": "-3"}
5
efield,elem_charge,length,mass,power
m·ℓ·P·E_f·e
constants,em,mechanics
m·ℓ⁻¹·P²·E_f⁻³·e⁻³
m = k₀ · ℓ·P⁻²·E_f³·e³
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "length": "-1", "power": "2", "efield": "-3", "elem_charge": "-3"}
5
bfield,length,mass,permeability,power
m·ℓ·P·B·μ₀
em,mechanics
m·ℓ⁻⁷·P²·B⁻⁶·μ₀³
m = k₀ · ℓ⁷·P⁻²·B⁶·μ₀⁻³
null
0
2
7
19
16.4
-6.9
false
{"mass": "1", "length": "-7", "power": "2", "bfield": "-6", "permeability": "3"}
5
bfield,conductivity,length,mass,power
m·ℓ·P·B·σ
em,mechanics
m²·ℓ⁻¹¹·P·B⁻⁶·σ⁻³
P = k₀ · m⁻²·ℓ¹¹·B⁶·σ³
null
0
2
11
23
21.2
-11.7
false
{"mass": "2", "length": "-11", "power": "1", "bfield": "-6", "conductivity": "-3"}
5
bfield,length,mass,power,resistivity
m·ℓ·P·B·ρ_e
em,mechanics
m²·ℓ⁻¹¹·P·B⁻⁶·ρ_e³
P = k₀ · m⁻²·ℓ¹¹·B⁶·ρ_e⁻³
null
0
2
11
23
21.2
-11.7
false
{"mass": "2", "length": "-11", "power": "1", "bfield": "-6", "resistivity": "3"}
5
bfield,elem_charge,length,mass,power
m·ℓ·P·B·e
constants,em,mechanics
m²·ℓ⁻²·P·B⁻³·e⁻³
P = k₀ · m⁻²·ℓ²·B³·e³
null
1
3
3
11
9.4
-0.4
false
{"mass": "2", "length": "-2", "power": "1", "bfield": "-3", "elem_charge": "-3"}
5
length,mag_flux,mass,permeability,power
m·ℓ·P·Φ·μ₀
em,mechanics
m·ℓ⁵·P²·Φ⁻⁶·μ₀³
m = k₀ · ℓ⁻⁵·P⁻²·Φ⁶·μ₀⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "length": "5", "power": "2", "mag_flux": "-6", "permeability": "3"}
5
conductivity,length,mag_flux,mass,power
m·ℓ·P·Φ·σ
em,mechanics
m²·ℓ·P·Φ⁻⁶·σ⁻³
ℓ = k₀ · m⁻²·P⁻¹·Φ⁶·σ³
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "length": "1", "power": "1", "mag_flux": "-6", "conductivity": "-3"}
5
length,mag_flux,mass,power,resistivity
m·ℓ·P·Φ·ρ_e
em,mechanics
m²·ℓ·P·Φ⁻⁶·ρ_e³
ℓ = k₀ · m⁻²·P⁻¹·Φ⁶·ρ_e⁻³
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "length": "1", "power": "1", "mag_flux": "-6", "resistivity": "3"}
5
elem_charge,length,mag_flux,mass,power
m·ℓ·P·Φ·e
constants,em,mechanics
m²·ℓ⁴·P·Φ⁻³·e⁻³
P = k₀ · m⁻²·ℓ⁻⁴·Φ³·e³
null
1
3
4
13
11.3
-2.3
false
{"mass": "2", "length": "4", "power": "1", "mag_flux": "-3", "elem_charge": "-3"}
5
length,mass,permeability,permittivity,power
m·ℓ·P·ε·μ₀
em,mechanics
m²·ℓ⁻²·P⁻²·ε⁻³·μ₀⁻³
m = k₀ · ℓ·P·ε³ᐟ²·μ₀³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "length": "-2", "power": "-2", "permittivity": "-3", "permeability": "-3"}
5
conductivity,length,mass,permittivity,power
m·ℓ·P·ε·σ
em,mechanics
m·ℓ²·P⁻¹·ε⁻³·σ³
m = k₀ · ℓ⁻²·P·ε³·σ⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "permittivity": "-3", "conductivity": "3"}
5
length,mass,permittivity,power,resistivity
m·ℓ·P·ε·ρ_e
em,mechanics
m·ℓ²·P⁻¹·ε⁻³·ρ_e⁻³
m = k₀ · ℓ⁻²·P·ε³·ρ_e³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "permittivity": "-3", "resistivity": "-3"}
5
elem_charge,length,mass,permittivity,power
m·ℓ·P·ε·e
constants,em,mechanics
m·ℓ⁵·P²·ε³·e⁻⁶
m = k₀ · ℓ⁻⁵·P⁻²·ε⁻³·e⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "1", "length": "5", "power": "2", "permittivity": "3", "elem_charge": "-6"}
5
conductivity,length,mass,permeability,power
m·ℓ·P·μ₀·σ
em,mechanics
m·ℓ⁻⁴·P⁻¹·μ₀⁻³·σ⁻³
m = k₀ · ℓ⁴·P·μ₀³·σ³
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-4", "power": "-1", "permeability": "-3", "conductivity": "-3"}
5
length,mass,permeability,power,resistivity
m·ℓ·P·μ₀·ρ_e
em,mechanics
m·ℓ⁻⁴·P⁻¹·μ₀⁻³·ρ_e³
m = k₀ · ℓ⁴·P·μ₀³·ρ_e⁻³
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-4", "power": "-1", "permeability": "-3", "resistivity": "3"}
5
conductivity,elem_charge,length,mass,power
m·ℓ·P·σ·e
constants,em,mechanics
m²·ℓ⁷·P·σ³·e⁻⁶
P = k₀ · m⁻²·ℓ⁻⁷·σ⁻³·e⁶
null
1
3
7
19
17
-8
false
{"mass": "2", "length": "7", "power": "1", "conductivity": "3", "elem_charge": "-6"}
5
elem_charge,length,mass,power,resistivity
m·ℓ·P·ρ_e·e
constants,em,mechanics
m²·ℓ⁷·P·ρ_e⁻³·e⁻⁶
P = k₀ · m⁻²·ℓ⁻⁷·ρ_e³·e⁶
null
1
3
7
19
17
-8
false
{"mass": "2", "length": "7", "power": "1", "resistivity": "-3", "elem_charge": "-6"}
5
amount,length,mass,molar_energy,power
m·ℓ·P·n·E_m
chemistry,mechanics
m·ℓ²·P²·n⁻³·E_m⁻³
m = k₀ · ℓ⁻²·P⁻²·n³·E_m³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "length": "2", "power": "2", "amount": "-3", "molar_energy": "-3"}
5
amount,cat_activity,length,mass,power
m·ℓ·P·n·z
chemistry,mechanics
m·ℓ²·P⁻¹·n⁻³·z³
m = k₀ · ℓ⁻²·P·n³·z⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "length": "2", "power": "-1", "amount": "-3", "cat_activity": "3"}
5
length,mass,molar_energy,molar_mass,power
m·ℓ·P·M_m·E_m
chemistry,mechanics
m²·ℓ⁻²·P⁻²·M_m⁻³·E_m³
m = k₀ · ℓ·P·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "length": "-2", "power": "-2", "molar_mass": "-3", "molar_energy": "3"}
5
cat_activity,length,mass,molar_mass,power
m·ℓ·P·M_m·z
chemistry,mechanics
m²·ℓ⁻²·P·M_m⁻³·z⁻³
P = k₀ · m⁻²·ℓ²·M_m³·z³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "length": "-2", "power": "1", "molar_mass": "-3", "cat_activity": "-3"}
5
concentration,length,mass,molar_energy,power
m·ℓ·P·c_n·E_m
chemistry,mechanics
m·ℓ⁻⁷·P²·c_n⁻³·E_m⁻³
m = k₀ · ℓ⁷·P⁻²·c_n³·E_m³
null
0
2
7
16
14.3
-4.8
false
{"mass": "1", "length": "-7", "power": "2", "concentration": "-3", "molar_energy": "-3"}
5
cat_activity,concentration,length,mass,power
m·ℓ·P·c_n·z
chemistry,mechanics
m·ℓ⁻⁷·P⁻¹·c_n⁻³·z³
m = k₀ · ℓ⁷·P·c_n³·z⁻³
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "length": "-7", "power": "-1", "concentration": "-3", "cat_activity": "3"}
6
boltzmann,gas_constant,length,mass,molar_energy,power
m·ℓ·P·E_m·R·k_B
chemistry,constants,mechanics
m·ℓ²·P²·E_m⁻³·R³·k_B⁻³
m = k₀ · ℓ⁻²·P⁻²·E_m³·R⁻³·k_B³
null
1
3
3
14
11.8
-2.8
false
{"mass": "1", "length": "2", "power": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
avogadro,length,mass,molar_energy,power
m·ℓ·P·E_m·N_A
chemistry,constants,mechanics
m·ℓ²·P²·E_m⁻³·N_A³
m = k₀ · ℓ⁻²·P⁻²·E_m³·N_A⁻³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "length": "2", "power": "2", "molar_energy": "-3", "avogadro": "3"}
6
boltzmann,cat_activity,gas_constant,length,mass,power
m·ℓ·P·R·z·k_B
chemistry,constants,mechanics
m·ℓ²·P⁻¹·R³·z³·k_B⁻³
m = k₀ · ℓ⁻²·P·R⁻³·z⁻³·k_B³
null
1
3
3
13
11.1
-2.1
false
{"mass": "1", "length": "2", "power": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
5
avogadro,cat_activity,length,mass,power
m·ℓ·P·z·N_A
chemistry,constants,mechanics
m·ℓ²·P⁻¹·z³·N_A³
m = k₀ · ℓ⁻²·P·z⁻³·N_A⁻³
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "length": "2", "power": "-1", "cat_activity": "3", "avogadro": "3"}
4
length,light_speed,mass,power
m·ℓ·P·c₀
constants,mechanics
m·ℓ⁻¹·P⁻¹·c₀³
m = k₀ · ℓ·P·c₀⁻³
null
1
2
3
6
5
4.5
true
{"mass": "1", "length": "-1", "power": "-1", "light_speed": "3"}
4
grav_const,length,mass,power
m·ℓ·P·G
constants,mechanics
m⁵·ℓ⁻⁵·P⁻²·G³
P = k₀ · m⁵ᐟ²·ℓ⁻⁵ᐟ²·G³ᐟ²
null
1
2
5
15
12.3
-2.8
false
{"mass": "5", "length": "-5", "power": "-2", "grav_const": "3"}
4
length,mass,planck,power
m·ℓ·P·h
constants,mechanics
m²·ℓ⁴·P·h⁻³
P = k₀ · m⁻²·ℓ⁻⁴·h³
null
1
2
4
10
8.3
1.2
false
{"mass": "2", "length": "4", "power": "1", "planck": "-3"}
4
length,mass,momentum,pressure
m·ℓ·p·P_p
mechanics
m·ℓ³·p⁻²·P_p
m = k₀ · ℓ⁻³·p²·P_p⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "length": "3", "momentum": "-2", "pressure": "1"}
4
kin_viscosity,length,mass,momentum
m·ℓ·p·ν
mechanics
m·ℓ⁻¹·p⁻¹·ν
m = k₀ · ℓ·p·ν⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "length": "-1", "momentum": "-1", "kin_viscosity": "1"}
4
length,mass,momentum,omega
m·ℓ·p·ω
mechanics
m·ℓ·p⁻¹·ω
m = k₀ · ℓ⁻¹·p·ω⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "length": "1", "momentum": "-1", "omega": "1"}
4
frequency,length,mass,momentum
m·ℓ·p·f
mechanics
m·ℓ·p⁻¹·f
m = k₀ · ℓ⁻¹·p·f⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "length": "1", "momentum": "-1", "frequency": "1"}
4
length,mass,momentum,stiffness
m·ℓ·p·k
mechanics
m·ℓ²·p⁻²·k
m = k₀ · ℓ⁻²·p²·k⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "length": "2", "momentum": "-2", "stiffness": "1"}
4
length,mass,momentum,surf_tension
m·ℓ·p·γ
mechanics
m·ℓ²·p⁻²·γ
m = k₀ · ℓ⁻²·p²·γ⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "length": "2", "momentum": "-2", "surf_tension": "1"}
4
flowrate,length,mass,momentum
m·ℓ·p·Q
mechanics
m·ℓ⁻²·p⁻¹·Q
m = k₀ · ℓ²·p·Q⁻¹
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "length": "-2", "momentum": "-1", "flowrate": "1"}
5
length,mass,momentum,temperature,thermal_cond
m·ℓ·p·Θ·κ
mechanics,thermo
m²·ℓ²·p⁻³·Θ·κ
Θ = k₀ · m⁻²·ℓ⁻²·p³·κ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "length": "2", "momentum": "-3", "temperature": "1", "thermal_cond": "1"}
6
concentration,gas_constant,length,mass,momentum,temperature
m·ℓ·p·Θ·c_n·R
chemistry,mechanics,thermo
m·ℓ³·p⁻²·Θ·c_n·R
m = k₀ · ℓ⁻³·p²·Θ⁻¹·c_n⁻¹·R⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "length": "3", "momentum": "-2", "temperature": "1", "concentration": "1", "gas_constant": "1"}
6
cat_activity,gas_constant,length,mass,momentum,temperature
m·ℓ·p·Θ·R·z
chemistry,mechanics,thermo
m²·ℓ·p⁻³·Θ·R·z
ℓ = k₀ · m⁻²·p³·Θ⁻¹·R⁻¹·z⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "2", "length": "1", "momentum": "-3", "temperature": "1", "gas_constant": "1", "cat_activity": "1"}
5
entropy,length,mass,momentum,thermal_cond
m·ℓ·p·S_e·κ
mechanics,thermo
m·ℓ²·p⁻¹·S_e⁻¹·κ
m = k₀ · ℓ⁻²·p·S_e·κ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "2", "momentum": "-1", "entropy": "-1", "thermal_cond": "1"}