size
int64
2
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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
bfield,illuminance,lum_intensity,mass,resistance,time
m·t·R·B·I_v·E_v
em,mechanics,photometry
m·t⁻¹·R·B⁻²·I_v⁻¹·E_v
m = k₀ · t·R⁻¹·B²·I_v·E_v⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "resistance": "1", "bfield": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
bfield,lum_intensity,luminance,mass,resistance,time
m·t·R·B·I_v·L_v
em,mechanics,photometry
m·t⁻¹·R·B⁻²·I_v⁻¹·L_v
m = k₀ · t·R⁻¹·B²·I_v·L_v⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "resistance": "1", "bfield": "-2", "lum_intensity": "-1", "luminance": "1"}
5
bfield,light_speed,mass,resistance,time
m·t·R·B·c₀
constants,em,mechanics
m·t⁻³·R·B⁻²·c₀⁻²
m = k₀ · t³·R⁻¹·B²·c₀²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "resistance": "1", "bfield": "-2", "light_speed": "-2"}
5
bfield,grav_const,mass,resistance,time
m·t·R·B·G
constants,em,mechanics
m·t⁻⁷·R³·B⁻⁶·G⁻²
m = k₀ · t⁷·R⁻³·B⁶·G²
null
1
3
7
19
17
-8
false
{"mass": "1", "time": "-7", "resistance": "3", "bfield": "-6", "grav_const": "-2"}
5
bfield,mass,planck,resistance,time
m·t·R·B·h
constants,em,mechanics
m²·t⁻²·R·B⁻²·h⁻¹
R = k₀ · m⁻²·t²·B²·h
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "time": "-2", "resistance": "1", "bfield": "-2", "planck": "-1"}
5
mag_flux,mass,permittivity,resistance,time
m·t·R·Φ·ε
em,mechanics
m·t·R⁻¹·Φ⁻²·ε⁻²
m = k₀ · t⁻¹·R·Φ²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "resistance": "-1", "mag_flux": "-2", "permittivity": "-2"}
5
mag_flux,mass,permeability,resistance,time
m·t·R·Φ·μ₀
em,mechanics
m·t·R³·Φ⁻²·μ₀⁻²
m = k₀ · t⁻¹·R⁻³·Φ²·μ₀²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "1", "resistance": "3", "mag_flux": "-2", "permeability": "-2"}
5
conductivity,mag_flux,mass,resistance,time
m·t·R·Φ·σ
em,mechanics
m·t⁻¹·R⁻¹·Φ⁻²·σ⁻²
m = k₀ · t·R·Φ²·σ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "resistance": "-1", "mag_flux": "-2", "conductivity": "-2"}
5
mag_flux,mass,resistance,resistivity,time
m·t·R·Φ·ρ_e
em,mechanics
m·t⁻¹·R⁻¹·Φ⁻²·ρ_e²
m = k₀ · t·R·Φ²·ρ_e⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "resistance": "-1", "mag_flux": "-2", "resistivity": "2"}
6
amount,concentration,mag_flux,mass,resistance,time
m·t·R·Φ·n·c_n
chemistry,em,mechanics
m³·t⁻³·R³·Φ⁻⁶·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³ᐟ²·R⁻³ᐟ²·Φ³·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-3", "resistance": "3", "mag_flux": "-6", "amount": "2", "concentration": "-2"}
6
concentration,mag_flux,mass,molar_mass,resistance,time
m·t·R·Φ·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻³·R³·Φ⁻⁶·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·R³ᐟ²·Φ⁻³·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "5", "time": "-3", "resistance": "3", "mag_flux": "-6", "molar_mass": "-2", "concentration": "-2"}
6
mag_flux,mass,molar_energy,molar_mass,resistance,time
m·t·R·Φ·M_m·E_m
chemistry,em,mechanics
m·t·R·Φ⁻²·M_m⁻¹·E_m
m = k₀ · t⁻¹·R⁻¹·Φ²·M_m·E_m⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "resistance": "1", "mag_flux": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,mag_flux,mass,molar_energy,resistance,time
m·t·R·Φ·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁵·R·Φ⁻²·c_n⁻²·E_m⁻²
R = k₀ · m⁻³·t⁵·Φ²·c_n²·E_m²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "resistance": "1", "mag_flux": "-2", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,gas_constant,mag_flux,mass,resistance,time
m·t·R·Φ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻³·R³·Φ⁻⁶·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·R³ᐟ²·Φ⁻³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "time": "-3", "resistance": "3", "mag_flux": "-6", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,mag_flux,mass,resistance,time
m·t·R·Φ·c_n·z
chemistry,em,mechanics
m³·t⁻¹·R³·Φ⁻⁶·c_n⁻²·z²
t = k₀ · m³·R³·Φ⁻⁶·c_n⁻²·z²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-1", "resistance": "3", "mag_flux": "-6", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,mag_flux,mass,resistance,time
m·t·R·Φ·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻³·R³·Φ⁻⁶·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·R³ᐟ²·Φ⁻³·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-3", "resistance": "3", "mag_flux": "-6", "concentration": "-2", "avogadro": "-2"}
6
illuminance,lum_intensity,mag_flux,mass,resistance,time
m·t·R·Φ·I_v·E_v
em,mechanics,photometry
m·t⁻¹·R·Φ⁻²·I_v·E_v⁻¹
m = k₀ · t·R⁻¹·Φ²·I_v⁻¹·E_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "resistance": "1", "mag_flux": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
lum_intensity,luminance,mag_flux,mass,resistance,time
m·t·R·Φ·I_v·L_v
em,mechanics,photometry
m·t⁻¹·R·Φ⁻²·I_v·L_v⁻¹
m = k₀ · t·R⁻¹·Φ²·I_v⁻¹·L_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "resistance": "1", "mag_flux": "-2", "lum_intensity": "1", "luminance": "-1"}
5
light_speed,mag_flux,mass,resistance,time
m·t·R·Φ·c₀
constants,em,mechanics
m·t·R·Φ⁻²·c₀²
m = k₀ · t⁻¹·R⁻¹·Φ²·c₀⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "resistance": "1", "mag_flux": "-2", "light_speed": "2"}
5
grav_const,mag_flux,mass,resistance,time
m·t·R·Φ·G
constants,em,mechanics
m⁵·t·R³·Φ⁻⁶·G²
t = k₀ · m⁻⁵·R⁻³·Φ⁶·G⁻²
null
1
3
6
17
15.1
-6.1
false
{"mass": "5", "time": "1", "resistance": "3", "mag_flux": "-6", "grav_const": "2"}
6
concentration,mass,molar_mass,permittivity,resistance,time
m·t·R·ε·M_m·c_n
chemistry,em,mechanics
m·t⁻³·R³·ε³·M_m⁻¹·c_n⁻¹
m = k₀ · t³·R⁻³·ε⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "-3", "resistance": "3", "permittivity": "3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,mass,molar_energy,permittivity,resistance,time
m·t·R·ε·c_n·E_m
chemistry,em,mechanics
m·t⁻³·R·ε·c_n⁻¹·E_m⁻¹
m = k₀ · t³·R⁻¹·ε⁻¹·c_n·E_m
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "resistance": "1", "permittivity": "1", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,mass,molar_energy,permittivity,resistance,time
m·t·R·ε·E_m·z
chemistry,em,mechanics
m·t⁻¹·R⁻²·ε⁻²·E_m⁻¹·z⁻¹
m = k₀ · t·R²·ε²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-1", "resistance": "-2", "permittivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,mass,permittivity,resistance,time
m·t·R·ε·G
constants,em,mechanics
m·t⁻¹·R³·ε³·G
m = k₀ · t·R⁻³·ε⁻³·G⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "resistance": "3", "permittivity": "3", "grav_const": "1"}
5
mass,permittivity,planck,resistance,time
m·t·R·ε·h
constants,em,mechanics
m·t·R⁻²·ε⁻²·h⁻¹
m = k₀ · t⁻¹·R²·ε²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "resistance": "-2", "permittivity": "-2", "planck": "-1"}
5
elem_charge,mass,permittivity,resistance,time
m·t·R·ε·e
constants,em,mechanics
m·t·R⁻³·ε⁻²·e⁻²
m = k₀ · t⁻¹·R³·ε²·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "1", "resistance": "-3", "permittivity": "-2", "elem_charge": "-2"}
6
concentration,mass,molar_mass,permeability,resistance,time
m·t·R·μ₀·M_m·c_n
chemistry,em,mechanics
m·t⁻³·R⁻³·μ₀³·M_m⁻¹·c_n⁻¹
m = k₀ · t³·R³·μ₀⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "-3", "resistance": "-3", "permeability": "3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,mass,molar_energy,permeability,resistance,time
m·t·R·μ₀·c_n·E_m
chemistry,em,mechanics
m·t⁻³·R⁻¹·μ₀·c_n⁻¹·E_m⁻¹
m = k₀ · t³·R·μ₀⁻¹·c_n·E_m
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "resistance": "-1", "permeability": "1", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,mass,molar_energy,permeability,resistance,time
m·t·R·μ₀·E_m·z
chemistry,em,mechanics
m·t⁻¹·R²·μ₀⁻²·E_m⁻¹·z⁻¹
m = k₀ · t·R⁻²·μ₀²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-1", "resistance": "2", "permeability": "-2", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,mass,permeability,resistance,time
m·t·R·μ₀·G
constants,em,mechanics
m·t⁻¹·R⁻³·μ₀³·G
m = k₀ · t·R³·μ₀⁻³·G⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "resistance": "-3", "permeability": "3", "grav_const": "1"}
5
mass,permeability,planck,resistance,time
m·t·R·μ₀·h
constants,em,mechanics
m·t·R²·μ₀⁻²·h⁻¹
m = k₀ · t⁻¹·R⁻²·μ₀²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "resistance": "2", "permeability": "-2", "planck": "-1"}
5
elem_charge,mass,permeability,resistance,time
m·t·R·μ₀·e
constants,em,mechanics
m·t·R·μ₀⁻²·e⁻²
m = k₀ · t⁻¹·R⁻¹·μ₀²·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "resistance": "1", "permeability": "-2", "elem_charge": "-2"}
6
amount,conductivity,mass,molar_energy,resistance,time
m·t·R·σ·n·E_m
chemistry,em,mechanics
m·t⁻²·R⁻²·σ⁻²·n⁻¹·E_m⁻¹
m = k₀ · t²·R²·σ²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "resistance": "-2", "conductivity": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,conductivity,mass,molar_energy,resistance,time
m·t·R·σ·c_n·E_m
chemistry,em,mechanics
m·t⁻²·R·σ·c_n⁻¹·E_m⁻¹
m = k₀ · t²·R⁻¹·σ⁻¹·c_n·E_m
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "resistance": "1", "conductivity": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,conductivity,gas_constant,mass,molar_energy,resistance,time
m·t·R·σ·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·R⁻²·σ⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t²·R²·σ²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "-2", "resistance": "-2", "conductivity": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,conductivity,mass,molar_energy,resistance,time
m·t·R·σ·E_m·z
chemistry,em,mechanics
m·t⁻³·R⁻²·σ⁻²·E_m⁻¹·z⁻¹
m = k₀ · t³·R²·σ²·E_m·z
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "resistance": "-2", "conductivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,conductivity,mass,molar_energy,resistance,time
m·t·R·σ·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·R⁻²·σ⁻²·E_m⁻¹·N_A
m = k₀ · t²·R²·σ²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "resistance": "-2", "conductivity": "-2", "molar_energy": "-1", "avogadro": "1"}
5
conductivity,grav_const,mass,resistance,time
m·t·R·σ·G
constants,em,mechanics
m·t²·R³·σ³·G
m = k₀ · t⁻²·R⁻³·σ⁻³·G⁻¹
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "resistance": "3", "conductivity": "3", "grav_const": "1"}
5
conductivity,mass,planck,resistance,time
m·t·R·σ·h
constants,em,mechanics
m·t⁻¹·R⁻²·σ⁻²·h⁻¹
m = k₀ · t·R²·σ²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "resistance": "-2", "conductivity": "-2", "planck": "-1"}
5
conductivity,elem_charge,mass,resistance,time
m·t·R·σ·e
constants,em,mechanics
m·t⁻¹·R⁻³·σ⁻²·e⁻²
m = k₀ · t·R³·σ²·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "resistance": "-3", "conductivity": "-2", "elem_charge": "-2"}
6
amount,mass,molar_energy,resistance,resistivity,time
m·t·R·ρ_e·n·E_m
chemistry,em,mechanics
m·t⁻²·R⁻²·ρ_e²·n⁻¹·E_m⁻¹
m = k₀ · t²·R²·ρ_e⁻²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "resistance": "-2", "resistivity": "2", "amount": "-1", "molar_energy": "-1"}
6
concentration,mass,molar_energy,resistance,resistivity,time
m·t·R·ρ_e·c_n·E_m
chemistry,em,mechanics
m·t⁻²·R·ρ_e⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t²·R⁻¹·ρ_e·c_n·E_m
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "resistance": "1", "resistivity": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,gas_constant,mass,molar_energy,resistance,resistivity,time
m·t·R·ρ_e·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·R⁻²·ρ_e²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t²·R²·ρ_e⁻²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "-2", "resistance": "-2", "resistivity": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,mass,molar_energy,resistance,resistivity,time
m·t·R·ρ_e·E_m·z
chemistry,em,mechanics
m·t⁻³·R⁻²·ρ_e²·E_m⁻¹·z⁻¹
m = k₀ · t³·R²·ρ_e⁻²·E_m·z
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "resistance": "-2", "resistivity": "2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,mass,molar_energy,resistance,resistivity,time
m·t·R·ρ_e·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·R⁻²·ρ_e²·E_m⁻¹·N_A
m = k₀ · t²·R²·ρ_e⁻²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "resistance": "-2", "resistivity": "2", "molar_energy": "-1", "avogadro": "1"}
5
grav_const,mass,resistance,resistivity,time
m·t·R·ρ_e·G
constants,em,mechanics
m·t²·R³·ρ_e⁻³·G
m = k₀ · t⁻²·R⁻³·ρ_e³·G⁻¹
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "resistance": "3", "resistivity": "-3", "grav_const": "1"}
5
mass,planck,resistance,resistivity,time
m·t·R·ρ_e·h
constants,em,mechanics
m·t⁻¹·R⁻²·ρ_e²·h⁻¹
m = k₀ · t·R²·ρ_e⁻²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "resistance": "-2", "resistivity": "2", "planck": "-1"}
5
elem_charge,mass,resistance,resistivity,time
m·t·R·ρ_e·e
constants,em,mechanics
m·t⁻¹·R⁻³·ρ_e²·e⁻²
m = k₀ · t·R³·ρ_e⁻²·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "resistance": "-3", "resistivity": "2", "elem_charge": "-2"}
6
amount,concentration,elem_charge,mass,resistance,time
m·t·R·n·c_n·e
chemistry,constants,em,mechanics
m³·t⁻³·R⁻³·n²·c_n⁻²·e⁻⁶
n = k₀ · m⁻³ᐟ²·t³ᐟ²·R³ᐟ²·c_n·e³
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-3", "resistance": "-3", "amount": "2", "concentration": "-2", "elem_charge": "-6"}
6
concentration,elem_charge,mass,molar_mass,resistance,time
m·t·R·M_m·c_n·e
chemistry,constants,em,mechanics
m⁵·t⁻³·R⁻³·M_m⁻²·c_n⁻²·e⁻⁶
M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·R⁻³ᐟ²·c_n⁻¹·e⁻³
null
1
4
6
21
18.8
-10.3
false
{"mass": "5", "time": "-3", "resistance": "-3", "molar_mass": "-2", "concentration": "-2", "elem_charge": "-6"}
6
elem_charge,mass,molar_energy,molar_mass,resistance,time
m·t·R·M_m·E_m·e
chemistry,constants,em,mechanics
m·t·R⁻¹·M_m⁻¹·E_m·e⁻²
m = k₀ · t⁻¹·R·M_m·E_m⁻¹·e²
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "1", "resistance": "-1", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-2"}
6
concentration,elem_charge,mass,molar_energy,resistance,time
m·t·R·c_n·E_m·e
chemistry,constants,em,mechanics
m³·t⁻⁵·R⁻¹·c_n⁻²·E_m⁻²·e⁻²
R = k₀ · m³·t⁻⁵·c_n⁻²·E_m⁻²·e⁻²
null
1
4
5
15
14.1
-5.6
false
{"mass": "3", "time": "-5", "resistance": "-1", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-2"}
7
boltzmann,concentration,elem_charge,gas_constant,mass,resistance,time
m·t·R·c_n·R·k_B·e
chemistry,constants,em,mechanics
m³·t⁻³·R⁻³·c_n⁻²·R⁻²·k_B²·e⁻⁶
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·R⁻³ᐟ²·R⁻¹·k_B·e⁻³
null
2
4
6
21
20.1
-13.1
false
{"mass": "3", "time": "-3", "resistance": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-6"}
6
cat_activity,concentration,elem_charge,mass,resistance,time
m·t·R·c_n·z·e
chemistry,constants,em,mechanics
m³·t⁻¹·R⁻³·c_n⁻²·z²·e⁻⁶
t = k₀ · m³·R⁻³·c_n⁻²·z²·e⁻⁶
null
1
4
6
17
16
-7.5
false
{"mass": "3", "time": "-1", "resistance": "-3", "concentration": "-2", "cat_activity": "2", "elem_charge": "-6"}
6
avogadro,concentration,elem_charge,mass,resistance,time
m·t·R·c_n·e·N_A
chemistry,constants,em,mechanics
m³·t⁻³·R⁻³·c_n⁻²·e⁻⁶·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·R⁻³ᐟ²·e⁻³·N_A⁻¹
null
2
4
6
19
18.4
-11.4
false
{"mass": "3", "time": "-3", "resistance": "-3", "concentration": "-2", "elem_charge": "-6", "avogadro": "-2"}
6
elem_charge,illuminance,lum_intensity,mass,resistance,time
m·t·R·I_v·E_v·e
constants,em,mechanics,photometry
m·t⁻¹·R⁻¹·I_v·E_v⁻¹·e⁻²
m = k₀ · t·R·I_v⁻¹·E_v·e²
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-1", "resistance": "-1", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-2"}
6
elem_charge,lum_intensity,luminance,mass,resistance,time
m·t·R·I_v·L_v·e
constants,em,mechanics,photometry
m·t⁻¹·R⁻¹·I_v·L_v⁻¹·e⁻²
m = k₀ · t·R·I_v⁻¹·L_v·e²
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-1", "resistance": "-1", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-2"}
5
elem_charge,light_speed,mass,resistance,time
m·t·R·c₀·e
constants,em,mechanics
m·t·R⁻¹·c₀²·e⁻²
m = k₀ · t⁻¹·R·c₀⁻²·e²
null
2
3
2
7
7.1
0.4
false
{"mass": "1", "time": "1", "resistance": "-1", "light_speed": "2", "elem_charge": "-2"}
5
elem_charge,grav_const,mass,resistance,time
m·t·R·G·e
constants,em,mechanics
m⁵·t·R⁻³·G²·e⁻⁶
t = k₀ · m⁻⁵·R³·G⁻²·e⁶
null
2
3
6
17
16.1
-8.6
false
{"mass": "5", "time": "1", "resistance": "-3", "grav_const": "2", "elem_charge": "-6"}
4
capacitance,efield,mass,time
m·t·C_e·E_f
em,mechanics
m·t⁻²·C_e⁻¹·E_f⁻²
m = k₀ · t²·C_e·E_f²
null
0
2
2
6
4.5
5
true
{"mass": "1", "time": "-2", "capacitance": "-1", "efield": "-2"}
5
bfield,capacitance,mass,permeability,time
m·t·C_e·B·μ₀
em,mechanics
m·t⁻⁴·C_e·B⁻²·μ₀²
m = k₀ · t⁴·C_e⁻¹·B²·μ₀⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "capacitance": "1", "bfield": "-2", "permeability": "2"}
5
bfield,capacitance,conductivity,mass,time
m·t·C_e·B·σ
em,mechanics
m·t²·C_e⁻³·B⁻²·σ²
m = k₀ · t⁻²·C_e³·B²·σ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "2", "capacitance": "-3", "bfield": "-2", "conductivity": "2"}
5
bfield,capacitance,mass,resistivity,time
m·t·C_e·B·ρ_e
em,mechanics
m·t²·C_e⁻³·B⁻²·ρ_e⁻²
m = k₀ · t⁻²·C_e³·B²·ρ_e²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "2", "capacitance": "-3", "bfield": "-2", "resistivity": "-2"}
6
amount,bfield,capacitance,mass,molar_energy,time
m·t·C_e·B·n·E_m
chemistry,em,mechanics
m²·t⁻²·C_e⁻¹·B⁻²·n⁻¹·E_m⁻¹
C_e = k₀ · m²·t⁻²·B⁻²·n⁻¹·E_m⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "capacitance": "-1", "bfield": "-2", "amount": "-1", "molar_energy": "-1"}
6
bfield,capacitance,mass,molar_energy,molar_mass,time
m·t·C_e·B·M_m·E_m
chemistry,em,mechanics
m·t⁻²·C_e⁻¹·B⁻²·M_m·E_m⁻¹
m = k₀ · t²·C_e·B²·M_m⁻¹·E_m
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "capacitance": "-1", "bfield": "-2", "molar_mass": "1", "molar_energy": "-1"}
6
bfield,capacitance,concentration,mass,molar_energy,time
m·t·C_e·B·c_n·E_m
chemistry,em,mechanics
m·t⁻⁴·C_e·B²·c_n⁻²·E_m⁻²
m = k₀ · t⁴·C_e⁻¹·B⁻²·c_n²·E_m²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "capacitance": "1", "bfield": "2", "concentration": "-2", "molar_energy": "-2"}
6
bfield,capacitance,cat_activity,concentration,mass,time
m·t·C_e·B·c_n·z
chemistry,em,mechanics
m³·t⁻²·C_e⁻³·B⁻⁶·c_n²·z⁻²
t = k₀ · m³ᐟ²·C_e⁻³ᐟ²·B⁻³·c_n·z⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "time": "-2", "capacitance": "-3", "bfield": "-6", "concentration": "2", "cat_activity": "-2"}
7
bfield,boltzmann,capacitance,gas_constant,mass,molar_energy,time
m·t·C_e·B·E_m·R·k_B
chemistry,constants,em,mechanics
m²·t⁻²·C_e⁻¹·B⁻²·E_m⁻¹·R·k_B⁻¹
C_e = k₀ · m²·t⁻²·B⁻²·E_m⁻¹·R·k_B⁻¹
null
1
4
2
10
9.4
-0.9
false
{"mass": "2", "time": "-2", "capacitance": "-1", "bfield": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
bfield,capacitance,cat_activity,mass,molar_energy,time
m·t·C_e·B·E_m·z
chemistry,em,mechanics
m²·t⁻³·C_e⁻¹·B⁻²·E_m⁻¹·z⁻¹
C_e = k₀ · m²·t⁻³·B⁻²·E_m⁻¹·z⁻¹
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "capacitance": "-1", "bfield": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,bfield,capacitance,mass,molar_energy,time
m·t·C_e·B·E_m·N_A
chemistry,constants,em,mechanics
m²·t⁻²·C_e⁻¹·B⁻²·E_m⁻¹·N_A
C_e = k₀ · m²·t⁻²·B⁻²·E_m⁻¹·N_A
null
1
4
2
9
8.4
0.1
false
{"mass": "2", "time": "-2", "capacitance": "-1", "bfield": "-2", "molar_energy": "-1", "avogadro": "1"}
5
bfield,capacitance,light_speed,mass,time
m·t·C_e·B·c₀
constants,em,mechanics
m·t⁻²·C_e⁻¹·B⁻²·c₀⁻²
m = k₀ · t²·C_e·B²·c₀²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "-2", "capacitance": "-1", "bfield": "-2", "light_speed": "-2"}
5
bfield,capacitance,grav_const,mass,time
m·t·C_e·B·G
constants,em,mechanics
m·t⁻⁴·C_e⁻³·B⁻⁶·G⁻²
m = k₀ · t⁴·C_e³·B⁶·G²
null
1
3
6
16
14.4
-5.4
false
{"mass": "1", "time": "-4", "capacitance": "-3", "bfield": "-6", "grav_const": "-2"}
5
bfield,capacitance,mass,planck,time
m·t·C_e·B·h
constants,em,mechanics
m²·t⁻¹·C_e⁻¹·B⁻²·h⁻¹
t = k₀ · m²·C_e⁻¹·B⁻²·h⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "-1", "capacitance": "-1", "bfield": "-2", "planck": "-1"}
5
capacitance,mag_flux,mass,permeability,time
m·t·C_e·Φ·μ₀
em,mechanics
m·t⁴·C_e⁻³·Φ⁻²·μ₀⁻²
m = k₀ · t⁻⁴·C_e³·Φ²·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "4", "capacitance": "-3", "mag_flux": "-2", "permeability": "-2"}
5
capacitance,conductivity,mag_flux,mass,time
m·t·C_e·Φ·σ
em,mechanics
m·t⁻²·C_e·Φ⁻²·σ⁻²
m = k₀ · t²·C_e⁻¹·Φ²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "capacitance": "1", "mag_flux": "-2", "conductivity": "-2"}
5
capacitance,mag_flux,mass,resistivity,time
m·t·C_e·Φ·ρ_e
em,mechanics
m·t⁻²·C_e·Φ⁻²·ρ_e²
m = k₀ · t²·C_e⁻¹·Φ²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "capacitance": "1", "mag_flux": "-2", "resistivity": "2"}
6
capacitance,mag_flux,mass,molar_energy,molar_mass,time
m·t·C_e·Φ·M_m·E_m
chemistry,em,mechanics
m·t²·C_e⁻¹·Φ⁻²·M_m⁻¹·E_m
m = k₀ · t⁻²·C_e·Φ²·M_m·E_m⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "capacitance": "-1", "mag_flux": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
capacitance,concentration,mag_flux,mass,molar_energy,time
m·t·C_e·Φ·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁴·C_e⁻¹·Φ⁻²·c_n⁻²·E_m⁻²
C_e = k₀ · m³·t⁻⁴·Φ⁻²·c_n⁻²·E_m⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "capacitance": "-1", "mag_flux": "-2", "concentration": "-2", "molar_energy": "-2"}
6
capacitance,cat_activity,concentration,mag_flux,mass,time
m·t·C_e·Φ·c_n·z
chemistry,em,mechanics
m³·t²·C_e⁻³·Φ⁻⁶·c_n⁻²·z²
t = k₀ · m⁻³ᐟ²·C_e³ᐟ²·Φ³·c_n·z⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "time": "2", "capacitance": "-3", "mag_flux": "-6", "concentration": "-2", "cat_activity": "2"}
5
capacitance,light_speed,mag_flux,mass,time
m·t·C_e·Φ·c₀
constants,em,mechanics
m·t²·C_e⁻¹·Φ⁻²·c₀²
m = k₀ · t⁻²·C_e·Φ²·c₀⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "2", "capacitance": "-1", "mag_flux": "-2", "light_speed": "2"}
5
capacitance,grav_const,mag_flux,mass,time
m·t·C_e·Φ·G
constants,em,mechanics
m⁵·t⁴·C_e⁻³·Φ⁻⁶·G²
G = k₀ · m⁻⁵ᐟ²·t⁻²·C_e³ᐟ²·Φ³
null
1
3
6
20
17.2
-8.2
false
{"mass": "5", "time": "4", "capacitance": "-3", "mag_flux": "-6", "grav_const": "2"}
6
amount,capacitance,mass,molar_energy,permittivity,time
m·t·C_e·ε·n·E_m
chemistry,em,mechanics
m·t⁻²·C_e²·ε⁻²·n⁻¹·E_m⁻¹
m = k₀ · t²·C_e⁻²·ε²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "capacitance": "2", "permittivity": "-2", "amount": "-1", "molar_energy": "-1"}
6
capacitance,concentration,mass,molar_energy,permittivity,time
m·t·C_e·ε·c_n·E_m
chemistry,em,mechanics
m·t⁻²·C_e⁻¹·ε·c_n⁻¹·E_m⁻¹
m = k₀ · t²·C_e·ε⁻¹·c_n·E_m
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "capacitance": "-1", "permittivity": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,capacitance,gas_constant,mass,molar_energy,permittivity,time
m·t·C_e·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·C_e²·ε⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t²·C_e⁻²·ε²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "-2", "capacitance": "2", "permittivity": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
capacitance,cat_activity,mass,molar_energy,permittivity,time
m·t·C_e·ε·E_m·z
chemistry,em,mechanics
m·t⁻³·C_e²·ε⁻²·E_m⁻¹·z⁻¹
m = k₀ · t³·C_e⁻²·ε²·E_m·z
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "capacitance": "2", "permittivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,capacitance,mass,molar_energy,permittivity,time
m·t·C_e·ε·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·C_e²·ε⁻²·E_m⁻¹·N_A
m = k₀ · t²·C_e⁻²·ε²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "capacitance": "2", "permittivity": "-2", "molar_energy": "-1", "avogadro": "1"}
5
capacitance,grav_const,mass,permittivity,time
m·t·C_e·ε·G
constants,em,mechanics
m·t²·C_e⁻³·ε³·G
m = k₀ · t⁻²·C_e³·ε⁻³·G⁻¹
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "capacitance": "-3", "permittivity": "3", "grav_const": "1"}
5
capacitance,mass,permittivity,planck,time
m·t·C_e·ε·h
constants,em,mechanics
m·t⁻¹·C_e²·ε⁻²·h⁻¹
m = k₀ · t·C_e⁻²·ε²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "capacitance": "2", "permittivity": "-2", "planck": "-1"}
5
capacitance,elem_charge,mass,permittivity,time
m·t·C_e·ε·e
constants,em,mechanics
m·t⁻²·C_e³·ε⁻²·e⁻²
m = k₀ · t²·C_e⁻³·ε²·e²
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "-2", "capacitance": "3", "permittivity": "-2", "elem_charge": "-2"}
6
amount,capacitance,mass,molar_energy,permeability,time
m·t·C_e·μ₀·n·E_m
chemistry,em,mechanics
m·t²·C_e⁻²·μ₀⁻²·n⁻¹·E_m⁻¹
m = k₀ · t⁻²·C_e²·μ₀²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "capacitance": "-2", "permeability": "-2", "amount": "-1", "molar_energy": "-1"}
6
capacitance,concentration,mass,molar_mass,permeability,time
m·t·C_e·μ₀·M_m·c_n
chemistry,em,mechanics
m·t⁻⁶·C_e³·μ₀³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁶·C_e⁻³·μ₀⁻³·M_m·c_n
null
0
3
6
15
14
-5
false
{"mass": "1", "time": "-6", "capacitance": "3", "permeability": "3", "molar_mass": "-1", "concentration": "-1"}
6
capacitance,concentration,mass,molar_energy,permeability,time
m·t·C_e·μ₀·c_n·E_m
chemistry,em,mechanics
m·t⁻⁴·C_e·μ₀·c_n⁻¹·E_m⁻¹
m = k₀ · t⁴·C_e⁻¹·μ₀⁻¹·c_n·E_m
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "capacitance": "1", "permeability": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,capacitance,gas_constant,mass,molar_energy,permeability,time
m·t·C_e·μ₀·E_m·R·k_B
chemistry,constants,em,mechanics
m·t²·C_e⁻²·μ₀⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁻²·C_e²·μ₀²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "2", "capacitance": "-2", "permeability": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
capacitance,cat_activity,mass,molar_energy,permeability,time
m·t·C_e·μ₀·E_m·z
chemistry,em,mechanics
m·t·C_e⁻²·μ₀⁻²·E_m⁻¹·z⁻¹
m = k₀ · t⁻¹·C_e²·μ₀²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "1", "capacitance": "-2", "permeability": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,capacitance,mass,molar_energy,permeability,time
m·t·C_e·μ₀·E_m·N_A
chemistry,constants,em,mechanics
m·t²·C_e⁻²·μ₀⁻²·E_m⁻¹·N_A
m = k₀ · t⁻²·C_e²·μ₀²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "2", "capacitance": "-2", "permeability": "-2", "molar_energy": "-1", "avogadro": "1"}
5
capacitance,grav_const,mass,permeability,time
m·t·C_e·μ₀·G
constants,em,mechanics
m·t⁻⁴·C_e³·μ₀³·G
m = k₀ · t⁴·C_e⁻³·μ₀⁻³·G⁻¹
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "-4", "capacitance": "3", "permeability": "3", "grav_const": "1"}
5
capacitance,mass,permeability,planck,time
m·t·C_e·μ₀·h
constants,em,mechanics
m·t³·C_e⁻²·μ₀⁻²·h⁻¹
m = k₀ · t⁻³·C_e²·μ₀²·h
null
1
3
3
9
8
1
false
{"mass": "1", "time": "3", "capacitance": "-2", "permeability": "-2", "planck": "-1"}
5
capacitance,elem_charge,mass,permeability,time
m·t·C_e·μ₀·e
constants,em,mechanics
m·t²·C_e⁻¹·μ₀⁻²·e⁻²
m = k₀ · t⁻²·C_e·μ₀²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "2", "capacitance": "-1", "permeability": "-2", "elem_charge": "-2"}
6
amount,capacitance,conductivity,mass,molar_energy,time
m·t·C_e·σ·n·E_m
chemistry,em,mechanics
m·t⁻⁴·C_e²·σ⁻²·n⁻¹·E_m⁻¹
m = k₀ · t⁴·C_e⁻²·σ²·n·E_m
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "capacitance": "2", "conductivity": "-2", "amount": "-1", "molar_energy": "-1"}
6
capacitance,concentration,conductivity,mass,molar_mass,time
m·t·C_e·σ·M_m·c_n
chemistry,em,mechanics
m·t³·C_e⁻³·σ³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁻³·C_e³·σ⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "3", "capacitance": "-3", "conductivity": "3", "molar_mass": "-1", "concentration": "-1"}