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
conductivity,length,mass,surf_tension,voltage
m·ℓ·γ·U·σ
em,mechanics
m·ℓ⁻²·γ⁻³·U⁴·σ²
m = k₀ · ℓ²·γ³·U⁻⁴·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-2", "surf_tension": "-3", "voltage": "4", "conductivity": "2"}
5
length,mass,resistivity,surf_tension,voltage
m·ℓ·γ·U·ρ_e
em,mechanics
m·ℓ⁻²·γ⁻³·U⁴·ρ_e⁻²
m = k₀ · ℓ²·γ³·U⁻⁴·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-2", "surf_tension": "-3", "voltage": "4", "resistivity": "-2"}
5
bfield,length,mass,resistance,surf_tension
m·ℓ·γ·R·B
em,mechanics
m·ℓ⁻⁴·γ·R²·B⁻⁴
m = k₀ · ℓ⁴·γ⁻¹·R⁻²·B⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-4", "surf_tension": "1", "resistance": "2", "bfield": "-4"}
5
length,mag_flux,mass,resistance,surf_tension
m·ℓ·γ·R·Φ
em,mechanics
m·ℓ⁴·γ·R²·Φ⁻⁴
m = k₀ · ℓ⁻⁴·γ⁻¹·R⁻²·Φ⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "4", "surf_tension": "1", "resistance": "2", "mag_flux": "-4"}
5
length,mass,permittivity,resistance,surf_tension
m·ℓ·γ·R·ε
em,mechanics
m·ℓ⁻²·γ⁻¹·R⁻²·ε⁻²
m = k₀ · ℓ²·γ·R²·ε²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "resistance": "-2", "permittivity": "-2"}
5
length,mass,permeability,resistance,surf_tension
m·ℓ·γ·R·μ₀
em,mechanics
m·ℓ⁻²·γ⁻¹·R²·μ₀⁻²
m = k₀ · ℓ²·γ·R⁻²·μ₀²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "resistance": "2", "permeability": "-2"}
5
elem_charge,length,mass,resistance,surf_tension
m·ℓ·γ·R·e
constants,em,mechanics
m·ℓ⁴·γ·R⁻²·e⁻⁴
m = k₀ · ℓ⁻⁴·γ⁻¹·R²·e⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "length": "4", "surf_tension": "1", "resistance": "-2", "elem_charge": "-4"}
5
capacitance,length,mass,permeability,surf_tension
m·ℓ·γ·C_e·μ₀
em,mechanics
m·ℓ⁻¹·γ⁻¹·C_e⁻¹·μ₀⁻¹
m = k₀ · ℓ·γ·C_e·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "surf_tension": "-1", "capacitance": "-1", "permeability": "-1"}
5
capacitance,conductivity,length,mass,surf_tension
m·ℓ·γ·C_e·σ
em,mechanics
m·ℓ²·γ⁻¹·C_e⁻²·σ²
m = k₀ · ℓ⁻²·γ·C_e²·σ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "2", "surf_tension": "-1", "capacitance": "-2", "conductivity": "2"}
5
capacitance,length,mass,resistivity,surf_tension
m·ℓ·γ·C_e·ρ_e
em,mechanics
m·ℓ²·γ⁻¹·C_e⁻²·ρ_e⁻²
m = k₀ · ℓ⁻²·γ·C_e²·ρ_e²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "2", "surf_tension": "-1", "capacitance": "-2", "resistivity": "-2"}
5
inductance,length,mass,permittivity,surf_tension
m·ℓ·γ·L_e·ε
em,mechanics
m·ℓ⁻¹·γ⁻¹·L_e⁻¹·ε⁻¹
m = k₀ · ℓ·γ·L_e·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "surf_tension": "-1", "inductance": "-1", "permittivity": "-1"}
5
conductivity,inductance,length,mass,surf_tension
m·ℓ·γ·L_e·σ
em,mechanics
m·ℓ⁻²·γ⁻¹·L_e⁻²·σ⁻²
m = k₀ · ℓ²·γ·L_e²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "inductance": "-2", "conductivity": "-2"}
5
inductance,length,mass,resistivity,surf_tension
m·ℓ·γ·L_e·ρ_e
em,mechanics
m·ℓ⁻²·γ⁻¹·L_e⁻²·ρ_e²
m = k₀ · ℓ²·γ·L_e²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "inductance": "-2", "resistivity": "2"}
5
bfield,efield,length,mass,surf_tension
m·ℓ·γ·E_f·B
em,mechanics
m·ℓ⁻²·γ⁻¹·E_f²·B⁻²
m = k₀ · ℓ²·γ·E_f⁻²·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "efield": "2", "bfield": "-2"}
5
efield,length,mag_flux,mass,surf_tension
m·ℓ·γ·E_f·Φ
em,mechanics
m·ℓ²·γ⁻¹·E_f²·Φ⁻²
m = k₀ · ℓ⁻²·γ·E_f⁻²·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "length": "2", "surf_tension": "-1", "efield": "2", "mag_flux": "-2"}
5
efield,length,mass,permeability,surf_tension
m·ℓ·γ·E_f·μ₀
em,mechanics
m·ℓ⁻¹·γ⁻²·E_f²·μ₀⁻¹
m = k₀ · ℓ·γ²·E_f⁻²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "length": "-1", "surf_tension": "-2", "efield": "2", "permeability": "-1"}
5
conductivity,efield,length,mass,surf_tension
m·ℓ·γ·E_f·σ
em,mechanics
m·ℓ²·γ⁻³·E_f⁴·σ²
m = k₀ · ℓ⁻²·γ³·E_f⁻⁴·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "2", "surf_tension": "-3", "efield": "4", "conductivity": "2"}
5
efield,length,mass,resistivity,surf_tension
m·ℓ·γ·E_f·ρ_e
em,mechanics
m·ℓ²·γ⁻³·E_f⁴·ρ_e⁻²
m = k₀ · ℓ⁻²·γ³·E_f⁻⁴·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "2", "surf_tension": "-3", "efield": "4", "resistivity": "-2"}
5
bfield,conductivity,length,mass,surf_tension
m·ℓ·γ·B·σ
em,mechanics
m·ℓ⁻⁶·γ·B⁻⁴·σ⁻²
m = k₀ · ℓ⁶·γ⁻¹·B⁴·σ²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "length": "-6", "surf_tension": "1", "bfield": "-4", "conductivity": "-2"}
5
bfield,length,mass,resistivity,surf_tension
m·ℓ·γ·B·ρ_e
em,mechanics
m·ℓ⁻⁶·γ·B⁻⁴·ρ_e²
m = k₀ · ℓ⁶·γ⁻¹·B⁴·ρ_e⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "length": "-6", "surf_tension": "1", "bfield": "-4", "resistivity": "2"}
5
conductivity,length,mag_flux,mass,surf_tension
m·ℓ·γ·Φ·σ
em,mechanics
m·ℓ²·γ·Φ⁻⁴·σ⁻²
m = k₀ · ℓ⁻²·γ⁻¹·Φ⁴·σ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "2", "surf_tension": "1", "mag_flux": "-4", "conductivity": "-2"}
5
length,mag_flux,mass,resistivity,surf_tension
m·ℓ·γ·Φ·ρ_e
em,mechanics
m·ℓ²·γ·Φ⁻⁴·ρ_e²
m = k₀ · ℓ⁻²·γ⁻¹·Φ⁴·ρ_e⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "2", "surf_tension": "1", "mag_flux": "-4", "resistivity": "2"}
5
elem_charge,length,mag_flux,mass,surf_tension
m·ℓ·γ·Φ·e
constants,em,mechanics
m·ℓ⁴·γ·Φ⁻²·e⁻²
m = k₀ · ℓ⁻⁴·γ⁻¹·Φ²·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "length": "4", "surf_tension": "1", "mag_flux": "-2", "elem_charge": "-2"}
5
length,mass,permeability,permittivity,surf_tension
m·ℓ·γ·ε·μ₀
em,mechanics
m·ℓ⁻²·γ⁻¹·ε⁻¹·μ₀⁻¹
m = k₀ · ℓ²·γ·ε·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "permittivity": "-1", "permeability": "-1"}
5
conductivity,length,mass,permeability,surf_tension
m·ℓ·γ·μ₀·σ
em,mechanics
m·ℓ⁻⁴·γ⁻¹·μ₀⁻²·σ⁻²
m = k₀ · ℓ⁴·γ·μ₀²·σ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "surf_tension": "-1", "permeability": "-2", "conductivity": "-2"}
5
length,mass,permeability,resistivity,surf_tension
m·ℓ·γ·μ₀·ρ_e
em,mechanics
m·ℓ⁻⁴·γ⁻¹·μ₀⁻²·ρ_e²
m = k₀ · ℓ⁴·γ·μ₀²·ρ_e⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "surf_tension": "-1", "permeability": "-2", "resistivity": "2"}
5
conductivity,elem_charge,length,mass,surf_tension
m·ℓ·γ·σ·e
constants,em,mechanics
m·ℓ⁶·γ·σ²·e⁻⁴
m = k₀ · ℓ⁻⁶·γ⁻¹·σ⁻²·e⁴
null
1
3
6
14
13
-4
false
{"mass": "1", "length": "6", "surf_tension": "1", "conductivity": "2", "elem_charge": "-4"}
5
elem_charge,length,mass,resistivity,surf_tension
m·ℓ·γ·ρ_e·e
constants,em,mechanics
m·ℓ⁶·γ·ρ_e⁻²·e⁻⁴
m = k₀ · ℓ⁻⁶·γ⁻¹·ρ_e²·e⁴
null
1
3
6
14
13
-4
false
{"mass": "1", "length": "6", "surf_tension": "1", "resistivity": "-2", "elem_charge": "-4"}
5
length,mass,molar_energy,molar_mass,surf_tension
m·ℓ·γ·M_m·E_m
chemistry,mechanics
m·ℓ⁻²·γ⁻¹·M_m⁻¹·E_m
m = k₀ · ℓ²·γ·M_m·E_m⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "molar_mass": "-1", "molar_energy": "1"}
5
cat_activity,concentration,length,mass,surf_tension
m·ℓ·γ·c_n·z
chemistry,mechanics
m·ℓ⁻⁶·γ⁻¹·c_n⁻²·z²
m = k₀ · ℓ⁶·γ·c_n²·z⁻²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "length": "-6", "surf_tension": "-1", "concentration": "-2", "cat_activity": "2"}
5
cat_activity,length,mass,molar_energy,surf_tension
m·ℓ·γ·E_m·z
chemistry,mechanics
m·ℓ⁻⁴·γ⁻³·E_m²·z²
m = k₀ · ℓ⁴·γ³·E_m⁻²·z⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "length": "-4", "surf_tension": "-3", "molar_energy": "2", "cat_activity": "2"}
4
length,light_speed,mass,surf_tension
m·ℓ·γ·c₀
constants,mechanics
m·ℓ⁻²·γ⁻¹·c₀²
m = k₀ · ℓ²·γ·c₀⁻²
null
1
2
2
6
4.5
5
true
{"mass": "1", "length": "-2", "surf_tension": "-1", "light_speed": "2"}
4
grav_const,length,mass,surf_tension
m·ℓ·γ·G
constants,mechanics
m²·ℓ⁻³·γ⁻¹·G
γ = k₀ · m²·ℓ⁻³·G
null
1
2
3
7
5.7
3.8
true
{"mass": "2", "length": "-3", "surf_tension": "-1", "grav_const": "1"}
4
length,mass,planck,surf_tension
m·ℓ·γ·h
constants,mechanics
m·ℓ⁴·γ·h⁻²
m = k₀ · ℓ⁻⁴·γ⁻¹·h²
null
1
2
4
8
6.9
2.6
false
{"mass": "1", "length": "4", "surf_tension": "1", "planck": "-2"}
5
entropy,flowrate,length,mass,temperature
m·ℓ·Q·Θ·S_e
mechanics,thermo
m·ℓ⁻⁴·Q²·Θ⁻¹·S_e⁻¹
m = k₀ · ℓ⁴·Q⁻²·Θ·S_e
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "temperature": "-1", "entropy": "-1"}
5
flowrate,heat_capacity,length,mass,temperature
m·ℓ·Q·Θ·C
mechanics,thermo
m·ℓ⁻⁴·Q²·Θ⁻¹·C⁻¹
m = k₀ · ℓ⁴·Q⁻²·Θ·C
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "temperature": "-1", "heat_capacity": "-1"}
5
flowrate,length,mass,temperature,thermal_cond
m·ℓ·Q·Θ·κ
mechanics,thermo
m·ℓ⁻⁸·Q³·Θ⁻¹·κ⁻¹
m = k₀ · ℓ⁸·Q⁻³·Θ·κ
null
0
2
8
14
13.4
-3.9
false
{"mass": "1", "length": "-8", "flowrate": "3", "temperature": "-1", "thermal_cond": "-1"}
6
amount,flowrate,gas_constant,length,mass,temperature
m·ℓ·Q·Θ·n·R
chemistry,mechanics,thermo
m·ℓ⁻⁴·Q²·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · ℓ⁴·Q⁻²·Θ·n·R
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
concentration,flowrate,gas_constant,length,mass,temperature
m·ℓ·Q·Θ·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁷·Q²·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁷·Q⁻²·Θ·c_n·R
null
0
3
7
13
13.1
-4.1
false
{"mass": "1", "length": "-7", "flowrate": "2", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,flowrate,gas_constant,length,mass,temperature
m·ℓ·Q·Θ·R·z
chemistry,mechanics,thermo
m·ℓ⁻⁷·Q³·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · ℓ⁷·Q⁻³·Θ·R·z
null
0
3
7
14
13.8
-4.8
false
{"mass": "1", "length": "-7", "flowrate": "3", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,flowrate,gas_constant,length,mass,temperature
m·ℓ·Q·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁻⁴·Q²·Θ⁻¹·R⁻¹·N_A
m = k₀ · ℓ⁴·Q⁻²·Θ·R·N_A⁻¹
null
1
4
4
10
10.1
-1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,flowrate,length,mass,temperature
m·ℓ·Q·Θ·k_B
constants,mechanics,thermo
m·ℓ⁻⁴·Q²·Θ⁻¹·k_B⁻¹
m = k₀ · ℓ⁴·Q⁻²·Θ·k_B
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "temperature": "-1", "boltzmann": "-1"}
5
entropy,expansion,flowrate,length,mass
m·ℓ·Q·S_e·β
mechanics,thermo
m·ℓ⁻⁴·Q²·S_e⁻¹·β
m = k₀ · ℓ⁴·Q⁻²·S_e·β⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "entropy": "-1", "expansion": "1"}
6
entropy,flowrate,gas_constant,length,mass,molar_energy
m·ℓ·Q·S_e·E_m·R
chemistry,mechanics,thermo
m·ℓ⁻⁴·Q²·S_e⁻¹·E_m⁻¹·R
m = k₀ · ℓ⁴·Q⁻²·S_e·E_m·R⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,flowrate,heat_capacity,length,mass
m·ℓ·Q·C·β
mechanics,thermo
m·ℓ⁻⁴·Q²·C⁻¹·β
m = k₀ · ℓ⁴·Q⁻²·C·β⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "heat_capacity": "-1", "expansion": "1"}
6
flowrate,gas_constant,heat_capacity,length,mass,molar_energy
m·ℓ·Q·C·E_m·R
chemistry,mechanics,thermo
m·ℓ⁻⁴·Q²·C⁻¹·E_m⁻¹·R
m = k₀ · ℓ⁴·Q⁻²·C·E_m·R⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
flowrate,length,mass,specific_heat,thermal_cond
m·ℓ·Q·c·κ
mechanics,thermo
m·ℓ⁻⁴·Q·c·κ⁻¹
m = k₀ · ℓ⁴·Q⁻¹·c⁻¹·κ
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "length": "-4", "flowrate": "1", "specific_heat": "1", "thermal_cond": "-1"}
6
cat_activity,flowrate,gas_constant,length,mass,specific_heat
m·ℓ·Q·c·R·z
chemistry,mechanics,thermo
m·ℓ⁻³·Q·c·R⁻¹·z⁻¹
m = k₀ · ℓ³·Q⁻¹·c⁻¹·R·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "length": "-3", "flowrate": "1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
expansion,flowrate,length,mass,thermal_cond
m·ℓ·Q·κ·β
mechanics,thermo
m·ℓ⁻⁸·Q³·κ⁻¹·β
m = k₀ · ℓ⁸·Q⁻³·κ·β⁻¹
null
0
2
8
14
13.4
-3.9
false
{"mass": "1", "length": "-8", "flowrate": "3", "thermal_cond": "-1", "expansion": "1"}
6
flowrate,gas_constant,length,mass,molar_mass,thermal_cond
m·ℓ·Q·κ·M_m·R
chemistry,mechanics,thermo
m·ℓ⁻⁴·Q·κ⁻¹·M_m⁻¹·R
m = k₀ · ℓ⁴·Q⁻¹·κ·M_m·R⁻¹
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "length": "-4", "flowrate": "1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
flowrate,gas_constant,length,mass,molar_energy,thermal_cond
m·ℓ·Q·κ·E_m·R
chemistry,mechanics,thermo
m·ℓ⁻⁸·Q³·κ⁻¹·E_m⁻¹·R
m = k₀ · ℓ⁸·Q⁻³·κ·E_m·R⁻¹
null
0
3
8
15
15
-6
false
{"mass": "1", "length": "-8", "flowrate": "3", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
amount,expansion,flowrate,gas_constant,length,mass
m·ℓ·Q·β·n·R
chemistry,mechanics,thermo
m·ℓ⁻⁴·Q²·β·n⁻¹·R⁻¹
m = k₀ · ℓ⁴·Q⁻²·β⁻¹·n·R
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,expansion,flowrate,gas_constant,length,mass
m·ℓ·Q·β·c_n·R
chemistry,mechanics,thermo
m·ℓ⁻⁷·Q²·β·c_n⁻¹·R⁻¹
m = k₀ · ℓ⁷·Q⁻²·β⁻¹·c_n·R
null
0
3
7
13
13.1
-4.1
false
{"mass": "1", "length": "-7", "flowrate": "2", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,flowrate,gas_constant,length,mass
m·ℓ·Q·β·R·z
chemistry,mechanics,thermo
m·ℓ⁻⁷·Q³·β·R⁻¹·z⁻¹
m = k₀ · ℓ⁷·Q⁻³·β⁻¹·R·z
null
0
3
7
14
13.8
-4.8
false
{"mass": "1", "length": "-7", "flowrate": "3", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,expansion,flowrate,gas_constant,length,mass
m·ℓ·Q·β·R·N_A
chemistry,constants,mechanics,thermo
m·ℓ⁻⁴·Q²·β·R⁻¹·N_A
m = k₀ · ℓ⁴·Q⁻²·β⁻¹·R·N_A⁻¹
null
1
4
4
10
10.1
-1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,expansion,flowrate,length,mass
m·ℓ·Q·β·k_B
constants,mechanics,thermo
m·ℓ⁻⁴·Q²·β·k_B⁻¹
m = k₀ · ℓ⁴·Q⁻²·β⁻¹·k_B
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "expansion": "1", "boltzmann": "-1"}
5
charge,flowrate,length,mass,voltage
m·ℓ·Q·q·U
em,mechanics
m·ℓ⁻⁴·Q²·q⁻¹·U⁻¹
m = k₀ · ℓ⁴·Q⁻²·q·U
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "charge": "-1", "voltage": "-1"}
5
charge,flowrate,length,mass,resistance
m·ℓ·Q·q·R
em,mechanics
m·ℓ⁻¹·Q·q⁻²·R⁻¹
m = k₀ · ℓ·Q⁻¹·q²·R
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-1", "flowrate": "1", "charge": "-2", "resistance": "-1"}
5
capacitance,charge,flowrate,length,mass
m·ℓ·Q·q·C_e
em,mechanics
m·ℓ⁻⁴·Q²·q⁻²·C_e
m = k₀ · ℓ⁴·Q⁻²·q²·C_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "flowrate": "2", "charge": "-2", "capacitance": "1"}
5
charge,efield,flowrate,length,mass
m·ℓ·Q·q·E_f
em,mechanics
m·ℓ⁻⁵·Q²·q⁻¹·E_f⁻¹
m = k₀ · ℓ⁵·Q⁻²·q·E_f
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "length": "-5", "flowrate": "2", "charge": "-1", "efield": "-1"}
5
bfield,charge,flowrate,length,mass
m·ℓ·Q·q·B
em,mechanics
m·ℓ⁻³·Q·q⁻¹·B⁻¹
m = k₀ · ℓ³·Q⁻¹·q·B
null
0
2
3
7
6
3.5
true
{"mass": "1", "length": "-3", "flowrate": "1", "charge": "-1", "bfield": "-1"}
5
charge,flowrate,length,mag_flux,mass
m·ℓ·Q·q·Φ
em,mechanics
m·ℓ⁻¹·Q·q⁻¹·Φ⁻¹
m = k₀ · ℓ·Q⁻¹·q·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "length": "-1", "flowrate": "1", "charge": "-1", "mag_flux": "-1"}
5
charge,flowrate,length,mass,permittivity
m·ℓ·Q·q·ε
em,mechanics
m·ℓ⁻³·Q²·q⁻²·ε
m = k₀ · ℓ³·Q⁻²·q²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "length": "-3", "flowrate": "2", "charge": "-2", "permittivity": "1"}
5
current,flowrate,length,mass,voltage
m·ℓ·Q·i·U
em,mechanics
m·ℓ⁻⁷·Q³·i⁻¹·U⁻¹
m = k₀ · ℓ⁷·Q⁻³·i·U
null
0
2
7
13
12.2
-2.7
false
{"mass": "1", "length": "-7", "flowrate": "3", "current": "-1", "voltage": "-1"}
5
current,flowrate,length,mass,resistance
m·ℓ·Q·i·R
em,mechanics
m·ℓ⁻⁷·Q³·i⁻²·R⁻¹
m = k₀ · ℓ⁷·Q⁻³·i²·R
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "length": "-7", "flowrate": "3", "current": "-2", "resistance": "-1"}
5
capacitance,current,flowrate,length,mass
m·ℓ·Q·i·C_e
em,mechanics
m·ℓ⁻¹⁰·Q⁴·i⁻²·C_e
m = k₀ · ℓ¹⁰·Q⁻⁴·i²·C_e⁻¹
null
0
2
10
18
17.2
-7.7
false
{"mass": "1", "length": "-10", "flowrate": "4", "current": "-2", "capacitance": "1"}
5
current,flowrate,inductance,length,mass
m·ℓ·Q·i·L_e
em,mechanics
m·ℓ⁻⁴·Q²·i⁻²·L_e⁻¹
m = k₀ · ℓ⁴·Q⁻²·i²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "flowrate": "2", "current": "-2", "inductance": "-1"}
5
current,efield,flowrate,length,mass
m·ℓ·Q·i·E_f
em,mechanics
m·ℓ⁻⁸·Q³·i⁻¹·E_f⁻¹
m = k₀ · ℓ⁸·Q⁻³·i·E_f
null
0
2
8
14
13.4
-3.9
false
{"mass": "1", "length": "-8", "flowrate": "3", "current": "-1", "efield": "-1"}
5
bfield,current,flowrate,length,mass
m·ℓ·Q·i·B
em,mechanics
m·ℓ⁻⁶·Q²·i⁻¹·B⁻¹
m = k₀ · ℓ⁶·Q⁻²·i·B
null
0
2
6
11
10.3
-0.8
false
{"mass": "1", "length": "-6", "flowrate": "2", "current": "-1", "bfield": "-1"}
5
current,flowrate,length,mag_flux,mass
m·ℓ·Q·i·Φ
em,mechanics
m·ℓ⁻⁴·Q²·i⁻¹·Φ⁻¹
m = k₀ · ℓ⁴·Q⁻²·i·Φ
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "length": "-4", "flowrate": "2", "current": "-1", "mag_flux": "-1"}
5
current,flowrate,length,mass,permittivity
m·ℓ·Q·i·ε
em,mechanics
m·ℓ⁻⁹·Q⁴·i⁻²·ε
m = k₀ · ℓ⁹·Q⁻⁴·i²·ε⁻¹
null
0
2
9
17
16
-6.5
false
{"mass": "1", "length": "-9", "flowrate": "4", "current": "-2", "permittivity": "1"}
5
current,flowrate,length,mass,permeability
m·ℓ·Q·i·μ₀
em,mechanics
m·ℓ⁻⁵·Q²·i⁻²·μ₀⁻¹
m = k₀ · ℓ⁵·Q⁻²·i²·μ₀
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "length": "-5", "flowrate": "2", "current": "-2", "permeability": "-1"}
5
conductivity,current,flowrate,length,mass
m·ℓ·Q·i·σ
em,mechanics
m·ℓ⁻⁶·Q³·i⁻²·σ
m = k₀ · ℓ⁶·Q⁻³·i²·σ⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "length": "-6", "flowrate": "3", "current": "-2", "conductivity": "1"}
5
current,flowrate,length,mass,resistivity
m·ℓ·Q·i·ρ_e
em,mechanics
m·ℓ⁻⁶·Q³·i⁻²·ρ_e⁻¹
m = k₀ · ℓ⁶·Q⁻³·i²·ρ_e
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "length": "-6", "flowrate": "3", "current": "-2", "resistivity": "-1"}
5
flowrate,length,mass,resistance,voltage
m·ℓ·Q·U·R
em,mechanics
m·ℓ⁻⁷·Q³·U⁻²·R
m = k₀ · ℓ⁷·Q⁻³·U²·R⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "length": "-7", "flowrate": "3", "voltage": "-2", "resistance": "1"}
5
capacitance,flowrate,length,mass,voltage
m·ℓ·Q·U·C_e
em,mechanics
m·ℓ⁻⁴·Q²·U⁻²·C_e⁻¹
m = k₀ · ℓ⁴·Q⁻²·U²·C_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "flowrate": "2", "voltage": "-2", "capacitance": "-1"}
5
flowrate,inductance,length,mass,voltage
m·ℓ·Q·U·L_e
em,mechanics
m·ℓ⁻¹⁰·Q⁴·U⁻²·L_e
m = k₀ · ℓ¹⁰·Q⁻⁴·U²·L_e⁻¹
null
0
2
10
18
17.2
-7.7
false
{"mass": "1", "length": "-10", "flowrate": "4", "voltage": "-2", "inductance": "1"}
5
flowrate,length,mass,permittivity,voltage
m·ℓ·Q·U·ε
em,mechanics
m·ℓ⁻⁵·Q²·U⁻²·ε⁻¹
m = k₀ · ℓ⁵·Q⁻²·U²·ε
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "length": "-5", "flowrate": "2", "voltage": "-2", "permittivity": "-1"}
5
flowrate,length,mass,permeability,voltage
m·ℓ·Q·U·μ₀
em,mechanics
m·ℓ⁻⁹·Q⁴·U⁻²·μ₀
m = k₀ · ℓ⁹·Q⁻⁴·U²·μ₀⁻¹
null
0
2
9
17
16
-6.5
false
{"mass": "1", "length": "-9", "flowrate": "4", "voltage": "-2", "permeability": "1"}
5
conductivity,flowrate,length,mass,voltage
m·ℓ·Q·U·σ
em,mechanics
m·ℓ⁻⁸·Q³·U⁻²·σ⁻¹
m = k₀ · ℓ⁸·Q⁻³·U²·σ
null
0
2
8
15
14.1
-4.6
false
{"mass": "1", "length": "-8", "flowrate": "3", "voltage": "-2", "conductivity": "-1"}
5
flowrate,length,mass,resistivity,voltage
m·ℓ·Q·U·ρ_e
em,mechanics
m·ℓ⁻⁸·Q³·U⁻²·ρ_e
m = k₀ · ℓ⁸·Q⁻³·U²·ρ_e⁻¹
null
0
2
8
15
14.1
-4.6
false
{"mass": "1", "length": "-8", "flowrate": "3", "voltage": "-2", "resistivity": "1"}
5
elem_charge,flowrate,length,mass,voltage
m·ℓ·Q·U·e
constants,em,mechanics
m·ℓ⁻⁴·Q²·U⁻¹·e⁻¹
m = k₀ · ℓ⁴·Q⁻²·U·e
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "length": "-4", "flowrate": "2", "voltage": "-1", "elem_charge": "-1"}
5
efield,flowrate,length,mass,resistance
m·ℓ·Q·R·E_f
em,mechanics
m·ℓ⁻⁹·Q³·R·E_f⁻²
m = k₀ · ℓ⁹·Q⁻³·R⁻¹·E_f²
null
0
2
9
16
15.3
-5.8
false
{"mass": "1", "length": "-9", "flowrate": "3", "resistance": "1", "efield": "-2"}
5
bfield,flowrate,length,mass,resistance
m·ℓ·Q·R·B
em,mechanics
m·ℓ⁻⁵·Q·R·B⁻²
m = k₀ · ℓ⁵·Q⁻¹·R⁻¹·B²
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "length": "-5", "flowrate": "1", "resistance": "1", "bfield": "-2"}
5
flowrate,length,mag_flux,mass,resistance
m·ℓ·Q·R·Φ
em,mechanics
m·ℓ⁻¹·Q·R·Φ⁻²
m = k₀ · ℓ·Q⁻¹·R⁻¹·Φ²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "length": "-1", "flowrate": "1", "resistance": "1", "mag_flux": "-2"}
5
elem_charge,flowrate,length,mass,resistance
m·ℓ·Q·R·e
constants,em,mechanics
m·ℓ⁻¹·Q·R⁻¹·e⁻²
m = k₀ · ℓ·Q⁻¹·R·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "length": "-1", "flowrate": "1", "resistance": "-1", "elem_charge": "-2"}
5
capacitance,efield,flowrate,length,mass
m·ℓ·Q·C_e·E_f
em,mechanics
m·ℓ⁻⁶·Q²·C_e⁻¹·E_f⁻²
m = k₀ · ℓ⁶·Q⁻²·C_e·E_f²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "length": "-6", "flowrate": "2", "capacitance": "-1", "efield": "-2"}
5
capacitance,elem_charge,flowrate,length,mass
m·ℓ·Q·C_e·e
constants,em,mechanics
m·ℓ⁻⁴·Q²·C_e·e⁻²
m = k₀ · ℓ⁴·Q⁻²·C_e⁻¹·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "length": "-4", "flowrate": "2", "capacitance": "1", "elem_charge": "-2"}
5
efield,flowrate,inductance,length,mass
m·ℓ·Q·L_e·E_f
em,mechanics
m·ℓ⁻¹²·Q⁴·L_e·E_f⁻²
m = k₀ · ℓ¹²·Q⁻⁴·L_e⁻¹·E_f²
null
0
2
12
20
19.6
-10.1
false
{"mass": "1", "length": "-12", "flowrate": "4", "inductance": "1", "efield": "-2"}
5
bfield,flowrate,inductance,length,mass
m·ℓ·Q·L_e·B
em,mechanics
m·ℓ⁻⁸·Q²·L_e·B⁻²
m = k₀ · ℓ⁸·Q⁻²·L_e⁻¹·B²
null
0
2
8
14
13.4
-3.9
false
{"mass": "1", "length": "-8", "flowrate": "2", "inductance": "1", "bfield": "-2"}
5
flowrate,inductance,length,mag_flux,mass
m·ℓ·Q·L_e·Φ
em,mechanics
m·ℓ⁻⁴·Q²·L_e·Φ⁻²
m = k₀ · ℓ⁴·Q⁻²·L_e⁻¹·Φ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "length": "-4", "flowrate": "2", "inductance": "1", "mag_flux": "-2"}
5
efield,flowrate,length,mass,permittivity
m·ℓ·Q·E_f·ε
em,mechanics
m·ℓ⁻⁷·Q²·E_f⁻²·ε⁻¹
m = k₀ · ℓ⁷·Q⁻²·E_f²·ε
null
0
2
7
13
12.2
-2.7
false
{"mass": "1", "length": "-7", "flowrate": "2", "efield": "-2", "permittivity": "-1"}
5
efield,flowrate,length,mass,permeability
m·ℓ·Q·E_f·μ₀
em,mechanics
m·ℓ⁻¹¹·Q⁴·E_f⁻²·μ₀
m = k₀ · ℓ¹¹·Q⁻⁴·E_f²·μ₀⁻¹
null
0
2
11
19
18.4
-8.9
false
{"mass": "1", "length": "-11", "flowrate": "4", "efield": "-2", "permeability": "1"}
5
conductivity,efield,flowrate,length,mass
m·ℓ·Q·E_f·σ
em,mechanics
m·ℓ⁻¹⁰·Q³·E_f⁻²·σ⁻¹
m = k₀ · ℓ¹⁰·Q⁻³·E_f²·σ
null
0
2
10
17
16.5
-7
false
{"mass": "1", "length": "-10", "flowrate": "3", "efield": "-2", "conductivity": "-1"}
5
efield,flowrate,length,mass,resistivity
m·ℓ·Q·E_f·ρ_e
em,mechanics
m·ℓ⁻¹⁰·Q³·E_f⁻²·ρ_e
m = k₀ · ℓ¹⁰·Q⁻³·E_f²·ρ_e⁻¹
null
0
2
10
17
16.5
-7
false
{"mass": "1", "length": "-10", "flowrate": "3", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,flowrate,length,mass
m·ℓ·Q·E_f·e
constants,em,mechanics
m·ℓ⁻⁵·Q²·E_f⁻¹·e⁻¹
m = k₀ · ℓ⁵·Q⁻²·E_f·e
null
1
3
5
10
9.7
-0.7
false
{"mass": "1", "length": "-5", "flowrate": "2", "efield": "-1", "elem_charge": "-1"}
5
bfield,flowrate,length,mass,permeability
m·ℓ·Q·B·μ₀
em,mechanics
m·ℓ⁻⁷·Q²·B⁻²·μ₀
m = k₀ · ℓ⁷·Q⁻²·B²·μ₀⁻¹
null
0
2
7
13
12.2
-2.7
false
{"mass": "1", "length": "-7", "flowrate": "2", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,flowrate,length,mass
m·ℓ·Q·B·σ
em,mechanics
m·ℓ⁻⁶·Q·B⁻²·σ⁻¹
m = k₀ · ℓ⁶·Q⁻¹·B²·σ
null
0
2
6
11
10.3
-0.8
false
{"mass": "1", "length": "-6", "flowrate": "1", "bfield": "-2", "conductivity": "-1"}
5
bfield,flowrate,length,mass,resistivity
m·ℓ·Q·B·ρ_e
em,mechanics
m·ℓ⁻⁶·Q·B⁻²·ρ_e
m = k₀ · ℓ⁶·Q⁻¹·B²·ρ_e⁻¹
null
0
2
6
11
10.3
-0.8
false
{"mass": "1", "length": "-6", "flowrate": "1", "bfield": "-2", "resistivity": "1"}
5
bfield,elem_charge,flowrate,length,mass
m·ℓ·Q·B·e
constants,em,mechanics
m·ℓ⁻³·Q·B⁻¹·e⁻¹
m = k₀ · ℓ³·Q⁻¹·B·e
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "length": "-3", "flowrate": "1", "bfield": "-1", "elem_charge": "-1"}