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
7
amount,charge,current,expansion,gas_constant,length,mass
m·ℓ·β·q·i·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β·q⁻²·i²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·β⁻¹·q²·i⁻²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "expansion": "1", "charge": "-2", "current": "2", "amount": "-1", "gas_constant": "-1"}
7
charge,concentration,current,expansion,gas_constant,length,mass
m·ℓ·β·q·i·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·q⁻²·i²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·β⁻¹·q²·i⁻²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "expansion": "1", "charge": "-2", "current": "2", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,current,expansion,gas_constant,length,mass
m·ℓ·β·q·i·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β·q⁻³·i³·R⁻¹·z⁻¹
m = k₀ · ℓ⁻²·β⁻¹·q³·i⁻³·R·z
null
0
4
3
12
11.3
-2.8
false
{"mass": "1", "length": "2", "expansion": "1", "charge": "-3", "current": "3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,charge,current,expansion,gas_constant,length,mass
m·ℓ·β·q·i·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·q⁻²·i²·R⁻¹·N_A
m = k₀ · ℓ⁻²·β⁻¹·q²·i⁻²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "expansion": "1", "charge": "-2", "current": "2", "gas_constant": "-1", "avogadro": "1"}
6
boltzmann,charge,current,expansion,length,mass
m·ℓ·β·q·i·k_B
constants,em,mechanics,thermo
m·ℓ²·β·q⁻²·i²·k_B⁻¹
m = k₀ · ℓ⁻²·β⁻¹·q²·i⁻²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "expansion": "1", "charge": "-2", "current": "2", "boltzmann": "-1"}
7
cat_activity,charge,expansion,gas_constant,length,mass,voltage
m·ℓ·β·q·U·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁻²·q⁻³·U⁻³·R²·z²
m = k₀ · ℓ⁻²·β²·q³·U³·R⁻²·z⁻²
null
0
4
3
15
13.4
-4.9
false
{"mass": "1", "length": "2", "expansion": "-2", "charge": "-3", "voltage": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·q·R·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β⁻¹·q⁻⁴·R⁻²·n·R
m = k₀ · ℓ⁻²·β·q⁴·R²·n⁻¹·R⁻¹
null
0
4
4
12
11.8
-3.3
false
{"mass": "1", "length": "2", "expansion": "-1", "charge": "-4", "resistance": "-2", "amount": "1", "gas_constant": "1"}
7
charge,expansion,gas_constant,length,mass,molar_mass,resistance
m·ℓ·β·q·R·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ²·β⁻¹·q⁻⁴·R⁻²·M_m⁻¹·R
β = k₀ · m²·ℓ²·q⁻⁴·R⁻²·M_m⁻¹·R
null
0
4
4
13
12.5
-4
false
{"mass": "2", "length": "2", "expansion": "-1", "charge": "-4", "resistance": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,expansion,gas_constant,length,mass,resistance
m·ℓ·β·q·R·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁵·β⁻¹·q⁻⁴·R⁻²·c_n·R
m = k₀ · ℓ⁻⁵·β·q⁴·R²·c_n⁻¹·R⁻¹
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "5", "expansion": "-1", "charge": "-4", "resistance": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·q·R·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·β⁻¹·q⁻⁶·R⁻³·R·z
β = k₀ · m²·ℓ⁴·q⁻⁶·R⁻³·R·z
null
0
4
6
18
17
-8.5
false
{"mass": "2", "length": "4", "expansion": "-1", "charge": "-6", "resistance": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,expansion,gas_constant,length,mass,resistance
m·ℓ·β·q·R·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻¹·q⁻⁴·R⁻²·R·N_A⁻¹
m = k₀ · ℓ⁻²·β·q⁴·R²·R⁻¹·N_A
null
1
5
4
12
12.4
-4.4
false
{"mass": "1", "length": "2", "expansion": "-1", "charge": "-4", "resistance": "-2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,expansion,length,mass,resistance
m·ℓ·β·q·R·k_B
constants,em,mechanics,thermo
m·ℓ²·β⁻¹·q⁻⁴·R⁻²·k_B
m = k₀ · ℓ⁻²·β·q⁴·R²·k_B⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "length": "2", "expansion": "-1", "charge": "-4", "resistance": "-2", "boltzmann": "1"}
7
capacitance,cat_activity,charge,expansion,gas_constant,length,mass
m·ℓ·β·q·C_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁻²·q⁻⁶·C_e³·R²·z²
m = k₀ · ℓ⁻²·β²·q⁶·C_e⁻³·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "1", "length": "2", "expansion": "-2", "charge": "-6", "capacitance": "3", "gas_constant": "2", "cat_activity": "2"}
7
charge,efield,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·q·E_f·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻¹·q⁻¹·E_f⁻¹·M_m⁻¹·R
m = k₀ · ℓ·β·q·E_f·M_m·R⁻¹
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "length": "-1", "expansion": "-1", "charge": "-1", "efield": "-1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,charge,efield,expansion,gas_constant,length,mass
m·ℓ·β·q·E_f·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻²·q⁻³·E_f⁻³·R²·z²
m = k₀ · ℓ·β²·q³·E_f³·R⁻²·z⁻²
null
0
4
3
14
12.7
-4.2
false
{"mass": "1", "length": "-1", "expansion": "-2", "charge": "-3", "efield": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,bfield,charge,expansion,gas_constant,length,mass
m·ℓ·β·q·B·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β⁻¹·q⁻²·B⁻²·n·R
m = k₀ · ℓ²·β·q²·B²·n⁻¹·R⁻¹
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "-2", "expansion": "-1", "charge": "-2", "bfield": "-2", "amount": "1", "gas_constant": "1"}
7
bfield,charge,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·q·B·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻²·β⁻¹·q⁻²·B⁻²·M_m⁻¹·R
β = k₀ · m²·ℓ⁻²·q⁻²·B⁻²·M_m⁻¹·R
null
0
4
2
11
10.1
-1.6
false
{"mass": "2", "length": "-2", "expansion": "-1", "charge": "-2", "bfield": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,charge,concentration,expansion,gas_constant,length,mass
m·ℓ·β·q·B·c_n·R
chemistry,em,mechanics,thermo
m·ℓ·β⁻¹·q⁻²·B⁻²·c_n·R
m = k₀ · ℓ⁻¹·β·q²·B²·c_n⁻¹·R⁻¹
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "1", "expansion": "-1", "charge": "-2", "bfield": "-2", "concentration": "1", "gas_constant": "1"}
7
bfield,cat_activity,charge,expansion,gas_constant,length,mass
m·ℓ·β·q·B·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁻²·β⁻¹·q⁻³·B⁻³·R·z
β = k₀ · m²·ℓ⁻²·q⁻³·B⁻³·R·z
null
0
4
3
13
12
-3.5
false
{"mass": "2", "length": "-2", "expansion": "-1", "charge": "-3", "bfield": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,bfield,charge,expansion,gas_constant,length,mass
m·ℓ·β·q·B·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·β⁻¹·q⁻²·B⁻²·R·N_A⁻¹
m = k₀ · ℓ²·β·q²·B²·R⁻¹·N_A
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "-2", "expansion": "-1", "charge": "-2", "bfield": "-2", "gas_constant": "1", "avogadro": "-1"}
6
bfield,boltzmann,charge,expansion,length,mass
m·ℓ·β·q·B·k_B
constants,em,mechanics,thermo
m·ℓ⁻²·β⁻¹·q⁻²·B⁻²·k_B
m = k₀ · ℓ²·β·q²·B²·k_B⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "-2", "expansion": "-1", "charge": "-2", "bfield": "-2", "boltzmann": "1"}
7
amount,charge,expansion,gas_constant,length,mag_flux,mass
m·ℓ·β·q·Φ·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β⁻¹·q⁻²·Φ⁻²·n·R
m = k₀ · ℓ⁻²·β·q²·Φ²·n⁻¹·R⁻¹
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "expansion": "-1", "charge": "-2", "mag_flux": "-2", "amount": "1", "gas_constant": "1"}
7
charge,expansion,gas_constant,length,mag_flux,mass,molar_mass
m·ℓ·β·q·Φ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ²·β⁻¹·q⁻²·Φ⁻²·M_m⁻¹·R
β = k₀ · m²·ℓ²·q⁻²·Φ⁻²·M_m⁻¹·R
null
0
4
2
11
10.1
-1.6
false
{"mass": "2", "length": "2", "expansion": "-1", "charge": "-2", "mag_flux": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,expansion,gas_constant,length,mag_flux,mass
m·ℓ·β·q·Φ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁵·β⁻¹·q⁻²·Φ⁻²·c_n·R
m = k₀ · ℓ⁻⁵·β·q²·Φ²·c_n⁻¹·R⁻¹
null
0
4
5
13
13
-4.5
false
{"mass": "1", "length": "5", "expansion": "-1", "charge": "-2", "mag_flux": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,expansion,gas_constant,length,mag_flux,mass
m·ℓ·β·q·Φ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁴·β⁻¹·q⁻³·Φ⁻³·R·z
β = k₀ · m²·ℓ⁴·q⁻³·Φ⁻³·R·z
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "length": "4", "expansion": "-1", "charge": "-3", "mag_flux": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,expansion,gas_constant,length,mag_flux,mass
m·ℓ·β·q·Φ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β⁻¹·q⁻²·Φ⁻²·R·N_A⁻¹
m = k₀ · ℓ⁻²·β·q²·Φ²·R⁻¹·N_A
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "expansion": "-1", "charge": "-2", "mag_flux": "-2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,expansion,length,mag_flux,mass
m·ℓ·β·q·Φ·k_B
constants,em,mechanics,thermo
m·ℓ²·β⁻¹·q⁻²·Φ⁻²·k_B
m = k₀ · ℓ⁻²·β·q²·Φ²·k_B⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "2", "expansion": "-1", "charge": "-2", "mag_flux": "-2", "boltzmann": "1"}
7
charge,expansion,gas_constant,length,mass,molar_mass,permittivity
m·ℓ·β·q·ε·M_m·R
chemistry,em,mechanics,thermo
m·ℓ·β⁻¹·q⁻²·ε·M_m⁻¹·R
m = k₀ · ℓ⁻¹·β·q²·ε⁻¹·M_m·R⁻¹
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "1", "expansion": "-1", "charge": "-2", "permittivity": "1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,charge,expansion,gas_constant,length,mass,permittivity
m·ℓ·β·q·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁵·β⁻²·q⁻⁶·ε³·R²·z²
m = k₀ · ℓ⁻⁵·β²·q⁶·ε⁻³·R⁻²·z⁻²
null
0
4
6
21
19.1
-10.6
false
{"mass": "1", "length": "5", "expansion": "-2", "charge": "-6", "permittivity": "3", "gas_constant": "2", "cat_activity": "2"}
7
amount,charge,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·q·σ·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β⁻¹·q⁻⁴·σ²·n·R
m = k₀ · ℓ⁻⁴·β·q⁴·σ⁻²·n⁻¹·R⁻¹
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "4", "expansion": "-1", "charge": "-4", "conductivity": "2", "amount": "1", "gas_constant": "1"}
7
charge,conductivity,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·q·σ·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁴·β⁻¹·q⁻⁴·σ²·M_m⁻¹·R
β = k₀ · m²·ℓ⁴·q⁻⁴·σ²·M_m⁻¹·R
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "length": "4", "expansion": "-1", "charge": "-4", "conductivity": "2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·q·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁷·β⁻¹·q⁻⁴·σ²·c_n·R
m = k₀ · ℓ⁻⁷·β·q⁴·σ⁻²·c_n⁻¹·R⁻¹
null
0
4
7
17
16.8
-8.3
false
{"mass": "1", "length": "7", "expansion": "-1", "charge": "-4", "conductivity": "2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·q·σ·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁷·β⁻¹·q⁻⁶·σ³·R·z
β = k₀ · m²·ℓ⁷·q⁻⁶·σ³·R·z
null
0
4
7
21
19.6
-11.1
false
{"mass": "2", "length": "7", "expansion": "-1", "charge": "-6", "conductivity": "3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,conductivity,expansion,gas_constant,length,mass
m·ℓ·β·q·σ·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β⁻¹·q⁻⁴·σ²·R·N_A⁻¹
m = k₀ · ℓ⁻⁴·β·q⁴·σ⁻²·R⁻¹·N_A
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "expansion": "-1", "charge": "-4", "conductivity": "2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,conductivity,expansion,length,mass
m·ℓ·β·q·σ·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β⁻¹·q⁻⁴·σ²·k_B
m = k₀ · ℓ⁻⁴·β·q⁴·σ⁻²·k_B⁻¹
null
1
4
4
13
12.2
-3.7
false
{"mass": "1", "length": "4", "expansion": "-1", "charge": "-4", "conductivity": "2", "boltzmann": "1"}
7
amount,charge,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·q·ρ_e·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β⁻¹·q⁻⁴·ρ_e⁻²·n·R
m = k₀ · ℓ⁻⁴·β·q⁴·ρ_e²·n⁻¹·R⁻¹
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "4", "expansion": "-1", "charge": "-4", "resistivity": "-2", "amount": "1", "gas_constant": "1"}
7
charge,expansion,gas_constant,length,mass,molar_mass,resistivity
m·ℓ·β·q·ρ_e·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁴·β⁻¹·q⁻⁴·ρ_e⁻²·M_m⁻¹·R
β = k₀ · m²·ℓ⁴·q⁻⁴·ρ_e⁻²·M_m⁻¹·R
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "length": "4", "expansion": "-1", "charge": "-4", "resistivity": "-2", "molar_mass": "-1", "gas_constant": "1"}
7
charge,concentration,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·q·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁷·β⁻¹·q⁻⁴·ρ_e⁻²·c_n·R
m = k₀ · ℓ⁻⁷·β·q⁴·ρ_e²·c_n⁻¹·R⁻¹
null
0
4
7
17
16.8
-8.3
false
{"mass": "1", "length": "7", "expansion": "-1", "charge": "-4", "resistivity": "-2", "concentration": "1", "gas_constant": "1"}
7
cat_activity,charge,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·q·ρ_e·R·z
chemistry,em,mechanics,thermo
m²·ℓ⁷·β⁻¹·q⁻⁶·ρ_e⁻³·R·z
β = k₀ · m²·ℓ⁷·q⁻⁶·ρ_e⁻³·R·z
null
0
4
7
21
19.6
-11.1
false
{"mass": "2", "length": "7", "expansion": "-1", "charge": "-6", "resistivity": "-3", "gas_constant": "1", "cat_activity": "1"}
7
avogadro,charge,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·q·ρ_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β⁻¹·q⁻⁴·ρ_e⁻²·R·N_A⁻¹
m = k₀ · ℓ⁻⁴·β·q⁴·ρ_e²·R⁻¹·N_A
null
1
5
4
14
13.8
-5.8
false
{"mass": "1", "length": "4", "expansion": "-1", "charge": "-4", "resistivity": "-2", "gas_constant": "1", "avogadro": "-1"}
6
boltzmann,charge,expansion,length,mass,resistivity
m·ℓ·β·q·ρ_e·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β⁻¹·q⁻⁴·ρ_e⁻²·k_B
m = k₀ · ℓ⁻⁴·β·q⁴·ρ_e²·k_B⁻¹
null
1
4
4
13
12.2
-3.7
false
{"mass": "1", "length": "4", "expansion": "-1", "charge": "-4", "resistivity": "-2", "boltzmann": "1"}
7
amount,current,expansion,gas_constant,length,mass,voltage
m·ℓ·β·i·U·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β³·i²·U²·n⁻³·R⁻³
m = k₀ · ℓ⁻²·β⁻³·i⁻²·U⁻²·n³·R³
null
0
4
3
16
14.1
-5.6
false
{"mass": "1", "length": "2", "expansion": "3", "current": "2", "voltage": "2", "amount": "-3", "gas_constant": "-3"}
7
current,expansion,gas_constant,length,mass,molar_mass,voltage
m·ℓ·β·i·U·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻²·β⁻³·i⁻²·U⁻²·M_m⁻³·R³
m = k₀ · ℓ·β³ᐟ²·i·U·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
3
17
14.8
-6.3
false
{"mass": "2", "length": "-2", "expansion": "-3", "current": "-2", "voltage": "-2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,current,expansion,gas_constant,length,mass,voltage
m·ℓ·β·i·U·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁷·β³·i²·U²·c_n⁻³·R⁻³
m = k₀ · ℓ⁷·β⁻³·i⁻²·U⁻²·c_n³·R³
null
0
4
7
21
19.6
-11.1
false
{"mass": "1", "length": "-7", "expansion": "3", "current": "2", "voltage": "2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,current,expansion,gas_constant,length,mass,voltage
m·ℓ·β·i·U·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β³·i²·U²·R⁻³·N_A³
m = k₀ · ℓ⁻²·β⁻³·i⁻²·U⁻²·R³·N_A⁻³
null
1
5
3
16
14.7
-6.7
false
{"mass": "1", "length": "2", "expansion": "3", "current": "2", "voltage": "2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,current,expansion,length,mass,voltage
m·ℓ·β·i·U·k_B
constants,em,mechanics,thermo
m·ℓ²·β³·i²·U²·k_B⁻³
m = k₀ · ℓ⁻²·β⁻³·i⁻²·U⁻²·k_B³
null
1
4
3
13
11.7
-3.2
false
{"mass": "1", "length": "2", "expansion": "3", "current": "2", "voltage": "2", "boltzmann": "-3"}
7
amount,current,expansion,gas_constant,length,mass,resistance
m·ℓ·β·i·R·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β³·i⁴·R²·n⁻³·R⁻³
m = k₀ · ℓ⁻²·β⁻³·i⁻⁴·R⁻²·n³·R³
null
0
4
4
18
16
-7.5
false
{"mass": "1", "length": "2", "expansion": "3", "current": "4", "resistance": "2", "amount": "-3", "gas_constant": "-3"}
7
current,expansion,gas_constant,length,mass,molar_mass,resistance
m·ℓ·β·i·R·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻²·β⁻³·i⁻⁴·R⁻²·M_m⁻³·R³
m = k₀ · ℓ·β³ᐟ²·i²·R·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
4
19
16.7
-8.2
false
{"mass": "2", "length": "-2", "expansion": "-3", "current": "-4", "resistance": "-2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,current,expansion,gas_constant,length,mass,resistance
m·ℓ·β·i·R·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁷·β³·i⁴·R²·c_n⁻³·R⁻³
m = k₀ · ℓ⁷·β⁻³·i⁻⁴·R⁻²·c_n³·R³
null
0
4
7
23
21
-12.5
false
{"mass": "1", "length": "-7", "expansion": "3", "current": "4", "resistance": "2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,current,expansion,gas_constant,length,mass,resistance
m·ℓ·β·i·R·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β³·i⁴·R²·R⁻³·N_A³
m = k₀ · ℓ⁻²·β⁻³·i⁻⁴·R⁻²·R³·N_A⁻³
null
1
5
4
18
16.6
-8.6
false
{"mass": "1", "length": "2", "expansion": "3", "current": "4", "resistance": "2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,current,expansion,length,mass,resistance
m·ℓ·β·i·R·k_B
constants,em,mechanics,thermo
m·ℓ²·β³·i⁴·R²·k_B⁻³
m = k₀ · ℓ⁻²·β⁻³·i⁻⁴·R⁻²·k_B³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "length": "2", "expansion": "3", "current": "4", "resistance": "2", "boltzmann": "-3"}
7
amount,capacitance,current,expansion,gas_constant,length,mass
m·ℓ·β·i·C_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β²·i²·C_e⁻¹·n⁻²·R⁻²
m = k₀ · ℓ⁻²·β⁻²·i⁻²·C_e·n²·R²
null
0
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "2", "expansion": "2", "current": "2", "capacitance": "-1", "amount": "-2", "gas_constant": "-2"}
7
capacitance,current,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·i·C_e·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β⁻²·i⁻²·C_e·M_m⁻²·R²
m = k₀ · ℓ²·β²·i²·C_e⁻¹·M_m²·R⁻²
null
0
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "-2", "expansion": "-2", "current": "-2", "capacitance": "1", "molar_mass": "-2", "gas_constant": "2"}
7
capacitance,concentration,current,expansion,gas_constant,length,mass
m·ℓ·β·i·C_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β²·i²·C_e⁻¹·c_n⁻²·R⁻²
m = k₀ · ℓ⁴·β⁻²·i⁻²·C_e·c_n²·R²
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "expansion": "2", "current": "2", "capacitance": "-1", "concentration": "-2", "gas_constant": "-2"}
7
capacitance,cat_activity,current,expansion,gas_constant,length,mass
m·ℓ·β·i·C_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁴·i⁶·C_e⁻³·R⁻⁴·z⁻⁴
m = k₀ · ℓ⁻²·β⁻⁴·i⁻⁶·C_e³·R⁴·z⁴
null
0
4
6
24
21.2
-12.7
false
{"mass": "1", "length": "2", "expansion": "4", "current": "6", "capacitance": "-3", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,capacitance,current,expansion,gas_constant,length,mass
m·ℓ·β·i·C_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β²·i²·C_e⁻¹·R⁻²·N_A²
m = k₀ · ℓ⁻²·β⁻²·i⁻²·C_e·R²·N_A⁻²
null
1
5
2
12
11.4
-3.4
false
{"mass": "1", "length": "2", "expansion": "2", "current": "2", "capacitance": "-1", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,capacitance,current,expansion,length,mass
m·ℓ·β·i·C_e·k_B
constants,em,mechanics,thermo
m·ℓ²·β²·i²·C_e⁻¹·k_B⁻²
m = k₀ · ℓ⁻²·β⁻²·i⁻²·C_e·k_B²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "length": "2", "expansion": "2", "current": "2", "capacitance": "-1", "boltzmann": "-2"}
7
cat_activity,current,expansion,gas_constant,inductance,length,mass
m·ℓ·β·i·L_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁻²·i⁻⁶·L_e⁻³·R²·z²
m = k₀ · ℓ⁻²·β²·i⁶·L_e³·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "1", "length": "2", "expansion": "-2", "current": "-6", "inductance": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,current,efield,expansion,gas_constant,length,mass
m·ℓ·β·i·E_f·n·R
chemistry,em,mechanics,thermo
m·ℓ⁴·β³·i²·E_f²·n⁻³·R⁻³
m = k₀ · ℓ⁻⁴·β⁻³·i⁻²·E_f⁻²·n³·R³
null
0
4
4
18
16
-7.5
false
{"mass": "1", "length": "4", "expansion": "3", "current": "2", "efield": "2", "amount": "-3", "gas_constant": "-3"}
7
current,efield,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·i·E_f·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻⁴·β⁻³·i⁻²·E_f⁻²·M_m⁻³·R³
m = k₀ · ℓ²·β³ᐟ²·i·E_f·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
4
19
16.7
-8.2
false
{"mass": "2", "length": "-4", "expansion": "-3", "current": "-2", "efield": "-2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,current,efield,expansion,gas_constant,length,mass
m·ℓ·β·i·E_f·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·β³·i²·E_f²·c_n⁻³·R⁻³
m = k₀ · ℓ⁵·β⁻³·i⁻²·E_f⁻²·c_n³·R³
null
0
4
5
19
17.2
-8.7
false
{"mass": "1", "length": "-5", "expansion": "3", "current": "2", "efield": "2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,current,efield,expansion,gas_constant,length,mass
m·ℓ·β·i·E_f·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁴·β³·i²·E_f²·R⁻³·N_A³
m = k₀ · ℓ⁻⁴·β⁻³·i⁻²·E_f⁻²·R³·N_A⁻³
null
1
5
4
18
16.6
-8.6
false
{"mass": "1", "length": "4", "expansion": "3", "current": "2", "efield": "2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,current,efield,expansion,length,mass
m·ℓ·β·i·E_f·k_B
constants,em,mechanics,thermo
m·ℓ⁴·β³·i²·E_f²·k_B⁻³
m = k₀ · ℓ⁻⁴·β⁻³·i⁻²·E_f⁻²·k_B³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "length": "4", "expansion": "3", "current": "2", "efield": "2", "boltzmann": "-3"}
7
bfield,current,expansion,gas_constant,length,mass,molar_mass
m·ℓ·β·i·B·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β⁻¹·i⁻¹·B⁻¹·M_m⁻¹·R
m = k₀ · ℓ²·β·i·B·M_m·R⁻¹
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-2", "expansion": "-1", "current": "-1", "bfield": "-1", "molar_mass": "-1", "gas_constant": "1"}
7
bfield,cat_activity,current,expansion,gas_constant,length,mass
m·ℓ·β·i·B·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β⁻²·i⁻³·B⁻³·R²·z²
m = k₀ · ℓ⁴·β²·i³·B³·R⁻²·z⁻²
null
0
4
4
17
15.3
-6.8
false
{"mass": "1", "length": "-4", "expansion": "-2", "current": "-3", "bfield": "-3", "gas_constant": "2", "cat_activity": "2"}
7
cat_activity,current,expansion,gas_constant,length,mag_flux,mass
m·ℓ·β·i·Φ·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁻²·i⁻³·Φ⁻³·R²·z²
m = k₀ · ℓ⁻²·β²·i³·Φ³·R⁻²·z⁻²
null
0
4
3
15
13.4
-4.9
false
{"mass": "1", "length": "2", "expansion": "-2", "current": "-3", "mag_flux": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,current,expansion,gas_constant,length,mass,permittivity
m·ℓ·β·i·ε·n·R
chemistry,em,mechanics,thermo
m·ℓ·β²·i²·ε⁻¹·n⁻²·R⁻²
m = k₀ · ℓ⁻¹·β⁻²·i⁻²·ε·n²·R²
null
0
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "1", "expansion": "2", "current": "2", "permittivity": "-1", "amount": "-2", "gas_constant": "-2"}
7
current,expansion,gas_constant,length,mass,molar_mass,permittivity
m·ℓ·β·i·ε·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻²·i⁻²·ε·M_m⁻²·R²
m = k₀ · ℓ·β²·i²·ε⁻¹·M_m²·R⁻²
null
0
4
2
11
10.1
-1.6
false
{"mass": "1", "length": "-1", "expansion": "-2", "current": "-2", "permittivity": "1", "molar_mass": "-2", "gas_constant": "2"}
7
concentration,current,expansion,gas_constant,length,mass,permittivity
m·ℓ·β·i·ε·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·β²·i²·ε⁻¹·c_n⁻²·R⁻²
m = k₀ · ℓ⁵·β⁻²·i⁻²·ε·c_n²·R²
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "length": "-5", "expansion": "2", "current": "2", "permittivity": "-1", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,current,expansion,gas_constant,length,mass,permittivity
m·ℓ·β·i·ε·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁴·i⁶·ε⁻³·R⁻⁴·z⁻⁴
m = k₀ · ℓ·β⁻⁴·i⁻⁶·ε³·R⁴·z⁴
null
0
4
6
23
20.5
-12
false
{"mass": "1", "length": "-1", "expansion": "4", "current": "6", "permittivity": "-3", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,current,expansion,gas_constant,length,mass,permittivity
m·ℓ·β·i·ε·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ·β²·i²·ε⁻¹·R⁻²·N_A²
m = k₀ · ℓ⁻¹·β⁻²·i⁻²·ε·R²·N_A⁻²
null
1
5
2
11
10.7
-2.7
false
{"mass": "1", "length": "1", "expansion": "2", "current": "2", "permittivity": "-1", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,current,expansion,length,mass,permittivity
m·ℓ·β·i·ε·k_B
constants,em,mechanics,thermo
m·ℓ·β²·i²·ε⁻¹·k_B⁻²
m = k₀ · ℓ⁻¹·β⁻²·i⁻²·ε·k_B²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "1", "expansion": "2", "current": "2", "permittivity": "-1", "boltzmann": "-2"}
7
current,expansion,gas_constant,length,mass,molar_mass,permeability
m·ℓ·β·i·μ₀·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻¹·i⁻²·μ₀⁻¹·M_m⁻¹·R
m = k₀ · ℓ·β·i²·μ₀·M_m·R⁻¹
null
0
4
2
8
8
0.5
false
{"mass": "1", "length": "-1", "expansion": "-1", "current": "-2", "permeability": "-1", "molar_mass": "-1", "gas_constant": "1"}
7
cat_activity,current,expansion,gas_constant,length,mass,permeability
m·ℓ·β·i·μ₀·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β⁻²·i⁻⁶·μ₀⁻³·R²·z²
m = k₀ · ℓ·β²·i⁶·μ₀³·R⁻²·z⁻²
null
0
4
6
17
16.3
-7.8
false
{"mass": "1", "length": "-1", "expansion": "-2", "current": "-6", "permeability": "-3", "gas_constant": "2", "cat_activity": "2"}
7
concentration,conductivity,current,expansion,gas_constant,length,mass
m·ℓ·β·i·σ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁹·β³·i⁴·σ⁻²·c_n⁻³·R⁻³
m = k₀ · ℓ⁹·β⁻³·i⁻⁴·σ²·c_n³·R³
null
0
4
9
25
23.4
-14.9
false
{"mass": "1", "length": "-9", "expansion": "3", "current": "4", "conductivity": "-2", "concentration": "-3", "gas_constant": "-3"}
7
concentration,current,expansion,gas_constant,length,mass,resistivity
m·ℓ·β·i·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁹·β³·i⁴·ρ_e²·c_n⁻³·R⁻³
m = k₀ · ℓ⁹·β⁻³·i⁻⁴·ρ_e⁻²·c_n³·R³
null
0
4
9
25
23.4
-14.9
false
{"mass": "1", "length": "-9", "expansion": "3", "current": "4", "resistivity": "2", "concentration": "-3", "gas_constant": "-3"}
7
amount,current,elem_charge,expansion,gas_constant,length,mass
m·ℓ·β·i·n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·i²·n⁻¹·R⁻¹·e⁻²
m = k₀ · ℓ⁻²·β⁻¹·i⁻²·n·R·e²
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "2", "expansion": "1", "current": "2", "amount": "-1", "gas_constant": "-1", "elem_charge": "-2"}
7
concentration,current,elem_charge,expansion,gas_constant,length,mass
m·ℓ·β·i·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·ℓ⁻¹·β·i²·c_n⁻¹·R⁻¹·e⁻²
m = k₀ · ℓ·β⁻¹·i⁻²·c_n·R·e²
null
1
5
2
9
9.3
-1.3
false
{"mass": "1", "length": "-1", "expansion": "1", "current": "2", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-2"}
7
cat_activity,current,elem_charge,expansion,gas_constant,length,mass
m·ℓ·β·i·R·z·e
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·i³·R⁻¹·z⁻¹·e⁻³
m = k₀ · ℓ⁻²·β⁻¹·i⁻³·R·z·e³
null
1
5
3
12
11.9
-3.9
false
{"mass": "1", "length": "2", "expansion": "1", "current": "3", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-3"}
7
avogadro,current,elem_charge,expansion,gas_constant,length,mass
m·ℓ·β·i·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β·i²·R⁻¹·e⁻²·N_A
m = k₀ · ℓ⁻²·β⁻¹·i⁻²·R·e²·N_A⁻¹
null
2
5
2
10
11
-4.5
false
{"mass": "1", "length": "2", "expansion": "1", "current": "2", "gas_constant": "-1", "elem_charge": "-2", "avogadro": "1"}
6
boltzmann,current,elem_charge,expansion,length,mass
m·ℓ·β·i·k_B·e
constants,em,mechanics,thermo
m·ℓ²·β·i²·k_B⁻¹·e⁻²
m = k₀ · ℓ⁻²·β⁻¹·i⁻²·k_B·e²
null
2
4
2
9
9.4
-2.4
false
{"mass": "1", "length": "2", "expansion": "1", "current": "2", "boltzmann": "-1", "elem_charge": "-2"}
7
amount,expansion,gas_constant,length,mass,resistance,voltage
m·ℓ·β·U·R·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β³·U⁴·R⁻²·n⁻³·R⁻³
m = k₀ · ℓ⁻²·β⁻³·U⁻⁴·R²·n³·R³
null
0
4
4
18
16
-7.5
false
{"mass": "1", "length": "2", "expansion": "3", "voltage": "4", "resistance": "-2", "amount": "-3", "gas_constant": "-3"}
7
expansion,gas_constant,length,mass,molar_mass,resistance,voltage
m·ℓ·β·U·R·M_m·R
chemistry,em,mechanics,thermo
m²·ℓ⁻²·β⁻³·U⁻⁴·R²·M_m⁻³·R³
m = k₀ · ℓ·β³ᐟ²·U²·R⁻¹·M_m³ᐟ²·R⁻³ᐟ²
null
0
4
4
19
16.7
-8.2
false
{"mass": "2", "length": "-2", "expansion": "-3", "voltage": "-4", "resistance": "2", "molar_mass": "-3", "gas_constant": "3"}
7
concentration,expansion,gas_constant,length,mass,resistance,voltage
m·ℓ·β·U·R·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁷·β³·U⁴·R⁻²·c_n⁻³·R⁻³
m = k₀ · ℓ⁷·β⁻³·U⁻⁴·R²·c_n³·R³
null
0
4
7
23
21
-12.5
false
{"mass": "1", "length": "-7", "expansion": "3", "voltage": "4", "resistance": "-2", "concentration": "-3", "gas_constant": "-3"}
7
avogadro,expansion,gas_constant,length,mass,resistance,voltage
m·ℓ·β·U·R·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β³·U⁴·R⁻²·R⁻³·N_A³
m = k₀ · ℓ⁻²·β⁻³·U⁻⁴·R²·R³·N_A⁻³
null
1
5
4
18
16.6
-8.6
false
{"mass": "1", "length": "2", "expansion": "3", "voltage": "4", "resistance": "-2", "gas_constant": "-3", "avogadro": "3"}
6
boltzmann,expansion,length,mass,resistance,voltage
m·ℓ·β·U·R·k_B
constants,em,mechanics,thermo
m·ℓ²·β³·U⁴·R⁻²·k_B⁻³
m = k₀ · ℓ⁻²·β⁻³·U⁻⁴·R²·k_B³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "length": "2", "expansion": "3", "voltage": "4", "resistance": "-2", "boltzmann": "-3"}
7
capacitance,cat_activity,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·C_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁻²·U⁻⁶·C_e⁻³·R²·z²
m = k₀ · ℓ⁻²·β²·U⁶·C_e³·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "1", "length": "2", "expansion": "-2", "voltage": "-6", "capacitance": "-3", "gas_constant": "2", "cat_activity": "2"}
7
amount,expansion,gas_constant,inductance,length,mass,voltage
m·ℓ·β·U·L_e·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β²·U²·L_e⁻¹·n⁻²·R⁻²
m = k₀ · ℓ⁻²·β⁻²·U⁻²·L_e·n²·R²
null
0
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "2", "expansion": "2", "voltage": "2", "inductance": "-1", "amount": "-2", "gas_constant": "-2"}
7
expansion,gas_constant,inductance,length,mass,molar_mass,voltage
m·ℓ·β·U·L_e·M_m·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β⁻²·U⁻²·L_e·M_m⁻²·R²
m = k₀ · ℓ²·β²·U²·L_e⁻¹·M_m²·R⁻²
null
0
4
2
12
10.8
-2.3
false
{"mass": "1", "length": "-2", "expansion": "-2", "voltage": "-2", "inductance": "1", "molar_mass": "-2", "gas_constant": "2"}
7
concentration,expansion,gas_constant,inductance,length,mass,voltage
m·ℓ·β·U·L_e·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β²·U²·L_e⁻¹·c_n⁻²·R⁻²
m = k₀ · ℓ⁴·β⁻²·U⁻²·L_e·c_n²·R²
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "expansion": "2", "voltage": "2", "inductance": "-1", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,expansion,gas_constant,inductance,length,mass,voltage
m·ℓ·β·U·L_e·R·z
chemistry,em,mechanics,thermo
m·ℓ²·β⁴·U⁶·L_e⁻³·R⁻⁴·z⁻⁴
m = k₀ · ℓ⁻²·β⁻⁴·U⁻⁶·L_e³·R⁴·z⁴
null
0
4
6
24
21.2
-12.7
false
{"mass": "1", "length": "2", "expansion": "4", "voltage": "6", "inductance": "-3", "gas_constant": "-4", "cat_activity": "-4"}
7
avogadro,expansion,gas_constant,inductance,length,mass,voltage
m·ℓ·β·U·L_e·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ²·β²·U²·L_e⁻¹·R⁻²·N_A²
m = k₀ · ℓ⁻²·β⁻²·U⁻²·L_e·R²·N_A⁻²
null
1
5
2
12
11.4
-3.4
false
{"mass": "1", "length": "2", "expansion": "2", "voltage": "2", "inductance": "-1", "gas_constant": "-2", "avogadro": "2"}
6
boltzmann,expansion,inductance,length,mass,voltage
m·ℓ·β·U·L_e·k_B
constants,em,mechanics,thermo
m·ℓ²·β²·U²·L_e⁻¹·k_B⁻²
m = k₀ · ℓ⁻²·β⁻²·U⁻²·L_e·k_B²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "length": "2", "expansion": "2", "voltage": "2", "inductance": "-1", "boltzmann": "-2"}
7
amount,bfield,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·B·n·R
chemistry,em,mechanics,thermo
m·ℓ⁻²·β·U²·B⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ²·β⁻¹·U⁻²·B²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "-2", "expansion": "1", "voltage": "2", "bfield": "-2", "amount": "-1", "gas_constant": "-1"}
7
bfield,concentration,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·B·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻⁵·β·U²·B⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁵·β⁻¹·U⁻²·B²·c_n·R
null
0
4
5
13
13
-4.5
false
{"mass": "1", "length": "-5", "expansion": "1", "voltage": "2", "bfield": "-2", "concentration": "-1", "gas_constant": "-1"}
7
bfield,cat_activity,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·B·R·z
chemistry,em,mechanics,thermo
m·ℓ⁻⁴·β·U³·B⁻³·R⁻¹·z⁻¹
m = k₀ · ℓ⁴·β⁻¹·U⁻³·B³·R·z
null
0
4
4
14
13.2
-4.7
false
{"mass": "1", "length": "-4", "expansion": "1", "voltage": "3", "bfield": "-3", "gas_constant": "-1", "cat_activity": "-1"}
7
avogadro,bfield,expansion,gas_constant,length,mass,voltage
m·ℓ·β·U·B·R·N_A
chemistry,constants,em,mechanics,thermo
m·ℓ⁻²·β·U²·B⁻²·R⁻¹·N_A
m = k₀ · ℓ²·β⁻¹·U⁻²·B²·R·N_A⁻¹
null
1
5
2
10
10
-2
false
{"mass": "1", "length": "-2", "expansion": "1", "voltage": "2", "bfield": "-2", "gas_constant": "-1", "avogadro": "1"}
6
bfield,boltzmann,expansion,length,mass,voltage
m·ℓ·β·U·B·k_B
constants,em,mechanics,thermo
m·ℓ⁻²·β·U²·B⁻²·k_B⁻¹
m = k₀ · ℓ²·β⁻¹·U⁻²·B²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "length": "-2", "expansion": "1", "voltage": "2", "bfield": "-2", "boltzmann": "-1"}
7
amount,expansion,gas_constant,length,mag_flux,mass,voltage
m·ℓ·β·U·Φ·n·R
chemistry,em,mechanics,thermo
m·ℓ²·β·U²·Φ⁻²·n⁻¹·R⁻¹
m = k₀ · ℓ⁻²·β⁻¹·U⁻²·Φ²·n·R
null
0
4
2
10
9.4
-0.9
false
{"mass": "1", "length": "2", "expansion": "1", "voltage": "2", "mag_flux": "-2", "amount": "-1", "gas_constant": "-1"}
7
concentration,expansion,gas_constant,length,mag_flux,mass,voltage
m·ℓ·β·U·Φ·c_n·R
chemistry,em,mechanics,thermo
m·ℓ⁻¹·β·U²·Φ⁻²·c_n⁻¹·R⁻¹
m = k₀ · ℓ·β⁻¹·U⁻²·Φ²·c_n·R
null
0
4
2
9
8.7
-0.2
false
{"mass": "1", "length": "-1", "expansion": "1", "voltage": "2", "mag_flux": "-2", "concentration": "-1", "gas_constant": "-1"}