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
current,mass,molar_energy,molar_mass,permeability,time
m·t·i·μ₀·M_m·E_m
chemistry,em,mechanics
m²·t⁻²·i⁻⁴·μ₀⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻²·i⁻⁴·μ₀⁻²·E_m
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-2", "current": "-4", "permeability": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,current,mass,molar_energy,permeability,time
m·t·i·μ₀·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁴·i⁻²·μ₀⁻¹·c_n⁻¹·E_m⁻¹
μ₀ = k₀ · m²·t⁻⁴·i⁻²·c_n⁻¹·E_m⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "current": "-2", "permeability": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,current,gas_constant,mass,permeability,time
m·t·i·μ₀·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·i⁻⁶·μ₀⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁶·i⁻⁶·μ₀⁻³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "time": "-6", "current": "-6", "permeability": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,current,mass,permeability,time
m·t·i·μ₀·c_n·z
chemistry,em,mechanics
m³·t⁻⁵·i⁻⁶·μ₀⁻³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁵·i⁻⁶·μ₀⁻³·z
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-5", "current": "-6", "permeability": "-3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,current,mass,permeability,time
m·t·i·μ₀·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·i⁻⁶·μ₀⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁶·i⁻⁶·μ₀⁻³·N_A⁻¹
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "time": "-6", "current": "-6", "permeability": "-3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,current,gas_constant,mass,molar_energy,permeability,time
m·t·i·μ₀·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·i⁻⁴·μ₀⁻²·E_m·R⁻¹·k_B
m = k₀ · t²·i⁴·μ₀²·E_m⁻¹·R·k_B⁻¹
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "-2", "current": "-4", "permeability": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,current,mass,molar_energy,permeability,time
m·t·i·μ₀·E_m·z
chemistry,em,mechanics
m·t⁻¹·i⁻⁴·μ₀⁻²·E_m·z
m = k₀ · t·i⁴·μ₀²·E_m⁻¹·z⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-1", "current": "-4", "permeability": "-2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,current,mass,molar_energy,permeability,time
m·t·i·μ₀·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·i⁻⁴·μ₀⁻²·E_m·N_A⁻¹
m = k₀ · t²·i⁴·μ₀²·E_m⁻¹·N_A
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-2", "current": "-4", "permeability": "-2", "molar_energy": "1", "avogadro": "-1"}
6
current,illuminance,lum_intensity,mass,permeability,time
m·t·i·μ₀·I_v·E_v
em,mechanics,photometry
m²·t⁻⁴·i⁻⁴·μ₀⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁴·i⁴·μ₀²·E_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "current": "-4", "permeability": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
current,lum_intensity,luminance,mass,permeability,time
m·t·i·μ₀·I_v·L_v
em,mechanics,photometry
m²·t⁻⁴·i⁻⁴·μ₀⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁴·i⁴·μ₀²·L_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "current": "-4", "permeability": "-2", "lum_intensity": "1", "luminance": "-1"}
5
current,light_speed,mass,permeability,time
m·t·i·μ₀·c₀
constants,em,mechanics
m·t⁻¹·i⁻²·μ₀⁻¹·c₀
m = k₀ · t·i²·μ₀·c₀⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "current": "-2", "permeability": "-1", "light_speed": "1"}
5
current,grav_const,mass,permeability,time
m·t·i·μ₀·G
constants,em,mechanics
m⁴·t⁻⁴·i⁻⁶·μ₀⁻³·G
G = k₀ · m⁻⁴·t⁴·i⁶·μ₀³
null
1
3
6
18
15.8
-6.8
false
{"mass": "4", "time": "-4", "current": "-6", "permeability": "-3", "grav_const": "1"}
5
current,mass,permeability,planck,time
m·t·i·μ₀·h
constants,em,mechanics
m·t⁻³·i⁻⁴·μ₀⁻²·h
m = k₀ · t³·i⁴·μ₀²·h⁻¹
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-3", "current": "-4", "permeability": "-2", "planck": "1"}
6
amount,concentration,conductivity,current,mass,time
m·t·i·σ·n·c_n
chemistry,em,mechanics
m·t⁻³·i⁻²·σ·n·c_n⁻¹
m = k₀ · t³·i²·σ⁻¹·n⁻¹·c_n
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "conductivity": "1", "amount": "1", "concentration": "-1"}
6
concentration,conductivity,current,mass,molar_mass,time
m·t·i·σ·M_m·c_n
chemistry,em,mechanics
m²·t⁻³·i⁻²·σ·M_m⁻¹·c_n⁻¹
σ = k₀ · m⁻²·t³·i²·M_m·c_n
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "current": "-2", "conductivity": "1", "molar_mass": "-1", "concentration": "-1"}
6
concentration,conductivity,current,mass,molar_energy,time
m·t·i·σ·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻⁹·i⁻²·σ·c_n⁻³·E_m⁻³
σ = k₀ · m⁻⁴·t⁹·i²·c_n³·E_m³
null
0
3
9
22
20.4
-11.4
false
{"mass": "4", "time": "-9", "current": "-2", "conductivity": "1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,concentration,conductivity,current,gas_constant,mass,time
m·t·i·σ·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻³·i⁻²·σ·c_n⁻¹·R⁻¹·k_B
m = k₀ · t³·i²·σ⁻¹·c_n·R·k_B⁻¹
null
1
4
3
10
9.9
-1.4
false
{"mass": "1", "time": "-3", "current": "-2", "conductivity": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,conductivity,current,mass,time
m·t·i·σ·c_n·z
chemistry,em,mechanics
m·t⁻²·i⁻²·σ·c_n⁻¹·z
m = k₀ · t²·i²·σ⁻¹·c_n·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "current": "-2", "conductivity": "1", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,conductivity,current,mass,time
m·t·i·σ·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻³·i⁻²·σ·c_n⁻¹·N_A⁻¹
m = k₀ · t³·i²·σ⁻¹·c_n·N_A
null
1
4
3
9
8.9
-0.4
false
{"mass": "1", "time": "-3", "current": "-2", "conductivity": "1", "concentration": "-1", "avogadro": "-1"}
6
cat_activity,conductivity,current,mass,molar_energy,time
m·t·i·σ·E_m·z
chemistry,em,mechanics
m·t⁻³·i⁴·σ⁻²·E_m⁻³·z⁻³
m = k₀ · t³·i⁻⁴·σ²·E_m³·z³
null
0
3
4
16
13.7
-4.7
false
{"mass": "1", "time": "-3", "current": "4", "conductivity": "-2", "molar_energy": "-3", "cat_activity": "-3"}
6
conductivity,current,illuminance,lum_intensity,mass,time
m·t·i·σ·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·i⁻⁴·σ²·I_v³·E_v⁻³
m = k₀ · t³·i²·σ⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "time": "-6", "current": "-4", "conductivity": "2", "lum_intensity": "3", "illuminance": "-3"}
6
conductivity,current,lum_intensity,luminance,mass,time
m·t·i·σ·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·i⁻⁴·σ²·I_v³·L_v⁻³
m = k₀ · t³·i²·σ⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "time": "-6", "current": "-4", "conductivity": "2", "lum_intensity": "3", "luminance": "-3"}
5
conductivity,current,grav_const,mass,time
m·t·i·σ·G
constants,em,mechanics
m²·t⁻¹·i⁻²·σ·G
t = k₀ · m²·i⁻²·σ·G
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "-1", "current": "-2", "conductivity": "1", "grav_const": "1"}
5
conductivity,current,mass,planck,time
m·t·i·σ·h
constants,em,mechanics
m·t³·i⁴·σ⁻²·h⁻³
m = k₀ · t⁻³·i⁻⁴·σ²·h³
null
1
3
4
13
11.3
-2.3
false
{"mass": "1", "time": "3", "current": "4", "conductivity": "-2", "planck": "-3"}
6
amount,concentration,current,mass,resistivity,time
m·t·i·ρ_e·n·c_n
chemistry,em,mechanics
m·t⁻³·i⁻²·ρ_e⁻¹·n·c_n⁻¹
m = k₀ · t³·i²·ρ_e·n⁻¹·c_n
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "resistivity": "-1", "amount": "1", "concentration": "-1"}
6
concentration,current,mass,molar_mass,resistivity,time
m·t·i·ρ_e·M_m·c_n
chemistry,em,mechanics
m²·t⁻³·i⁻²·ρ_e⁻¹·M_m⁻¹·c_n⁻¹
ρ_e = k₀ · m²·t⁻³·i⁻²·M_m⁻¹·c_n⁻¹
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "current": "-2", "resistivity": "-1", "molar_mass": "-1", "concentration": "-1"}
6
concentration,current,mass,molar_energy,resistivity,time
m·t·i·ρ_e·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻⁹·i⁻²·ρ_e⁻¹·c_n⁻³·E_m⁻³
ρ_e = k₀ · m⁴·t⁻⁹·i⁻²·c_n⁻³·E_m⁻³
null
0
3
9
22
20.4
-11.4
false
{"mass": "4", "time": "-9", "current": "-2", "resistivity": "-1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,concentration,current,gas_constant,mass,resistivity,time
m·t·i·ρ_e·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻³·i⁻²·ρ_e⁻¹·c_n⁻¹·R⁻¹·k_B
m = k₀ · t³·i²·ρ_e·c_n·R·k_B⁻¹
null
1
4
3
10
9.9
-1.4
false
{"mass": "1", "time": "-3", "current": "-2", "resistivity": "-1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,current,mass,resistivity,time
m·t·i·ρ_e·c_n·z
chemistry,em,mechanics
m·t⁻²·i⁻²·ρ_e⁻¹·c_n⁻¹·z
m = k₀ · t²·i²·ρ_e·c_n·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "current": "-2", "resistivity": "-1", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,current,mass,resistivity,time
m·t·i·ρ_e·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻³·i⁻²·ρ_e⁻¹·c_n⁻¹·N_A⁻¹
m = k₀ · t³·i²·ρ_e·c_n·N_A
null
1
4
3
9
8.9
-0.4
false
{"mass": "1", "time": "-3", "current": "-2", "resistivity": "-1", "concentration": "-1", "avogadro": "-1"}
6
cat_activity,current,mass,molar_energy,resistivity,time
m·t·i·ρ_e·E_m·z
chemistry,em,mechanics
m·t⁻³·i⁴·ρ_e²·E_m⁻³·z⁻³
m = k₀ · t³·i⁻⁴·ρ_e⁻²·E_m³·z³
null
0
3
4
16
13.7
-4.7
false
{"mass": "1", "time": "-3", "current": "4", "resistivity": "2", "molar_energy": "-3", "cat_activity": "-3"}
6
current,illuminance,lum_intensity,mass,resistivity,time
m·t·i·ρ_e·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·i⁻⁴·ρ_e⁻²·I_v³·E_v⁻³
m = k₀ · t³·i²·ρ_e·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "time": "-6", "current": "-4", "resistivity": "-2", "lum_intensity": "3", "illuminance": "-3"}
6
current,lum_intensity,luminance,mass,resistivity,time
m·t·i·ρ_e·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·i⁻⁴·ρ_e⁻²·I_v³·L_v⁻³
m = k₀ · t³·i²·ρ_e·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "time": "-6", "current": "-4", "resistivity": "-2", "lum_intensity": "3", "luminance": "-3"}
5
current,grav_const,mass,resistivity,time
m·t·i·ρ_e·G
constants,em,mechanics
m²·t⁻¹·i⁻²·ρ_e⁻¹·G
t = k₀ · m²·i⁻²·ρ_e⁻¹·G
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "time": "-1", "current": "-2", "resistivity": "-1", "grav_const": "1"}
5
current,mass,planck,resistivity,time
m·t·i·ρ_e·h
constants,em,mechanics
m·t³·i⁴·ρ_e²·h⁻³
m = k₀ · t⁻³·i⁻⁴·ρ_e⁻²·h³
null
1
3
4
13
11.3
-2.3
false
{"mass": "1", "time": "3", "current": "4", "resistivity": "2", "planck": "-3"}
5
bfield,mass,resistance,time,voltage
m·t·U·R·B
em,mechanics
m·t⁻²·U⁻¹·R·B⁻¹
m = k₀ · t²·U·R⁻¹·B
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "voltage": "-1", "resistance": "1", "bfield": "-1"}
5
mass,permittivity,resistance,time,voltage
m·t·U·R·ε
em,mechanics
m·t⁻¹·U⁻²·R⁻¹·ε⁻²
m = k₀ · t·U²·R·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "voltage": "-2", "resistance": "-1", "permittivity": "-2"}
5
mass,permeability,resistance,time,voltage
m·t·U·R·μ₀
em,mechanics
m·t⁻¹·U⁻²·R³·μ₀⁻²
m = k₀ · t·U²·R⁻³·μ₀²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-1", "voltage": "-2", "resistance": "3", "permeability": "-2"}
5
conductivity,mass,resistance,time,voltage
m·t·U·R·σ
em,mechanics
m·t⁻³·U⁻²·R⁻¹·σ⁻²
m = k₀ · t³·U²·R·σ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "voltage": "-2", "resistance": "-1", "conductivity": "-2"}
5
mass,resistance,resistivity,time,voltage
m·t·U·R·ρ_e
em,mechanics
m·t⁻³·U⁻²·R⁻¹·ρ_e²
m = k₀ · t³·U²·R·ρ_e⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "voltage": "-2", "resistance": "-1", "resistivity": "2"}
6
amount,concentration,mass,resistance,time,voltage
m·t·U·R·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·U⁻⁶·R³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t⁹ᐟ²·U³·R⁻³ᐟ²·c_n
null
0
3
9
25
22.5
-13.5
false
{"mass": "3", "time": "-9", "voltage": "-6", "resistance": "3", "amount": "2", "concentration": "-2"}
6
concentration,mass,molar_mass,resistance,time,voltage
m·t·U·R·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁹·U⁻⁶·R³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·U⁻³·R³ᐟ²·c_n⁻¹
null
0
3
9
27
23.9
-14.9
false
{"mass": "5", "time": "-9", "voltage": "-6", "resistance": "3", "molar_mass": "-2", "concentration": "-2"}
6
mass,molar_energy,molar_mass,resistance,time,voltage
m·t·U·R·M_m·E_m
chemistry,em,mechanics
m·t⁻¹·U⁻²·R·M_m⁻¹·E_m
m = k₀ · t·U²·R⁻¹·M_m·E_m⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "voltage": "-2", "resistance": "1", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,mass,molar_energy,resistance,time,voltage
m·t·U·R·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁷·U⁻²·R·c_n⁻²·E_m⁻²
R = k₀ · m⁻³·t⁷·U²·c_n²·E_m²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "time": "-7", "voltage": "-2", "resistance": "1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,gas_constant,mass,resistance,time,voltage
m·t·U·R·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·U⁻⁶·R³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻⁹ᐟ²·U⁻³·R³ᐟ²·R⁻¹·k_B
null
1
4
9
27
24.8
-16.3
false
{"mass": "3", "time": "-9", "voltage": "-6", "resistance": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,mass,resistance,time,voltage
m·t·U·R·c_n·z
chemistry,em,mechanics
m³·t⁻⁷·U⁻⁶·R³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻⁷ᐟ²·U⁻³·R³ᐟ²·z
null
0
3
7
23
20.1
-11.1
false
{"mass": "3", "time": "-7", "voltage": "-6", "resistance": "3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,mass,resistance,time,voltage
m·t·U·R·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·U⁻⁶·R³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻⁹ᐟ²·U⁻³·R³ᐟ²·N_A⁻¹
null
1
4
9
25
23.1
-14.6
false
{"mass": "3", "time": "-9", "voltage": "-6", "resistance": "3", "concentration": "-2", "avogadro": "-2"}
6
illuminance,lum_intensity,mass,resistance,time,voltage
m·t·U·R·I_v·E_v
em,mechanics,photometry
m·t⁻³·U⁻²·R·I_v·E_v⁻¹
m = k₀ · t³·U²·R⁻¹·I_v⁻¹·E_v
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "voltage": "-2", "resistance": "1", "lum_intensity": "1", "illuminance": "-1"}
6
lum_intensity,luminance,mass,resistance,time,voltage
m·t·U·R·I_v·L_v
em,mechanics,photometry
m·t⁻³·U⁻²·R·I_v·L_v⁻¹
m = k₀ · t³·U²·R⁻¹·I_v⁻¹·L_v
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "voltage": "-2", "resistance": "1", "lum_intensity": "1", "luminance": "-1"}
5
light_speed,mass,resistance,time,voltage
m·t·U·R·c₀
constants,em,mechanics
m·t⁻¹·U⁻²·R·c₀²
m = k₀ · t·U²·R⁻¹·c₀⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "voltage": "-2", "resistance": "1", "light_speed": "2"}
5
grav_const,mass,resistance,time,voltage
m·t·U·R·G
constants,em,mechanics
m⁵·t⁻⁵·U⁻⁶·R³·G²
G = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·U³·R⁻³ᐟ²
null
1
3
6
21
17.9
-8.9
false
{"mass": "5", "time": "-5", "voltage": "-6", "resistance": "3", "grav_const": "2"}
5
bfield,capacitance,mass,time,voltage
m·t·U·C_e·B
em,mechanics
m·t⁻¹·U⁻¹·C_e⁻¹·B⁻¹
m = k₀ · t·U·C_e·B
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "voltage": "-1", "capacitance": "-1", "bfield": "-1"}
5
capacitance,mass,permittivity,time,voltage
m·t·U·C_e·ε
em,mechanics
m·t⁻²·U⁻²·C_e·ε⁻²
m = k₀ · t²·U²·C_e⁻¹·ε²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "voltage": "-2", "capacitance": "1", "permittivity": "-2"}
5
capacitance,mass,permeability,time,voltage
m·t·U·C_e·μ₀
em,mechanics
m·t²·U⁻²·C_e⁻³·μ₀⁻²
m = k₀ · t⁻²·U²·C_e³·μ₀²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "2", "voltage": "-2", "capacitance": "-3", "permeability": "-2"}
5
capacitance,conductivity,mass,time,voltage
m·t·U·C_e·σ
em,mechanics
m·t⁻⁴·U⁻²·C_e·σ⁻²
m = k₀ · t⁴·U²·C_e⁻¹·σ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "voltage": "-2", "capacitance": "1", "conductivity": "-2"}
5
capacitance,mass,resistivity,time,voltage
m·t·U·C_e·ρ_e
em,mechanics
m·t⁻⁴·U⁻²·C_e·ρ_e²
m = k₀ · t⁴·U²·C_e⁻¹·ρ_e⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "voltage": "-2", "capacitance": "1", "resistivity": "2"}
6
amount,capacitance,concentration,mass,time,voltage
m·t·U·C_e·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·U⁻⁶·C_e⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·U³·C_e³ᐟ²·c_n
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "time": "-6", "voltage": "-6", "capacitance": "-3", "amount": "2", "concentration": "-2"}
6
capacitance,concentration,mass,molar_mass,time,voltage
m·t·U·C_e·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁶·U⁻⁶·C_e⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·U⁻³·C_e⁻³ᐟ²·c_n⁻¹
null
0
3
6
24
20.3
-11.3
false
{"mass": "5", "time": "-6", "voltage": "-6", "capacitance": "-3", "molar_mass": "-2", "concentration": "-2"}
6
capacitance,concentration,mass,molar_energy,time,voltage
m·t·U·C_e·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁶·U⁻²·C_e⁻¹·c_n⁻²·E_m⁻²
C_e = k₀ · m³·t⁻⁶·U⁻²·c_n⁻²·E_m⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "voltage": "-2", "capacitance": "-1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,capacitance,concentration,gas_constant,mass,time,voltage
m·t·U·C_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻⁶·C_e⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³·U⁻³·C_e⁻³ᐟ²·R⁻¹·k_B
null
1
4
6
24
21.2
-12.7
false
{"mass": "3", "time": "-6", "voltage": "-6", "capacitance": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
capacitance,cat_activity,concentration,mass,time,voltage
m·t·U·C_e·c_n·z
chemistry,em,mechanics
m³·t⁻⁴·U⁻⁶·C_e⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·U⁻³·C_e⁻³ᐟ²·z
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-4", "voltage": "-6", "capacitance": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,capacitance,concentration,mass,time,voltage
m·t·U·C_e·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻⁶·C_e⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·U⁻³·C_e⁻³ᐟ²·N_A⁻¹
null
1
4
6
22
19.5
-11
false
{"mass": "3", "time": "-6", "voltage": "-6", "capacitance": "-3", "concentration": "-2", "avogadro": "-2"}
6
capacitance,illuminance,lum_intensity,mass,time,voltage
m·t·U·C_e·I_v·E_v
em,mechanics,photometry
m·t⁻²·U⁻²·C_e⁻¹·I_v·E_v⁻¹
m = k₀ · t²·U²·C_e·I_v⁻¹·E_v
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "voltage": "-2", "capacitance": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
capacitance,lum_intensity,luminance,mass,time,voltage
m·t·U·C_e·I_v·L_v
em,mechanics,photometry
m·t⁻²·U⁻²·C_e⁻¹·I_v·L_v⁻¹
m = k₀ · t²·U²·C_e·I_v⁻¹·L_v
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "voltage": "-2", "capacitance": "-1", "lum_intensity": "1", "luminance": "-1"}
5
capacitance,grav_const,mass,time,voltage
m·t·U·C_e·G
constants,em,mechanics
m⁵·t⁻²·U⁻⁶·C_e⁻³·G²
t = k₀ · m⁵ᐟ²·U⁻³·C_e⁻³ᐟ²·G
null
1
3
6
18
15.8
-6.8
false
{"mass": "5", "time": "-2", "voltage": "-6", "capacitance": "-3", "grav_const": "2"}
5
bfield,inductance,mass,time,voltage
m·t·U·L_e·B
em,mechanics
m·t⁻³·U⁻¹·L_e·B⁻¹
m = k₀ · t³·U·L_e⁻¹·B
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "voltage": "-1", "inductance": "1", "bfield": "-1"}
5
inductance,mass,permeability,time,voltage
m·t·U·L_e·μ₀
em,mechanics
m·t⁻⁴·U⁻²·L_e³·μ₀⁻²
m = k₀ · t⁴·U²·L_e⁻³·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "voltage": "-2", "inductance": "3", "permeability": "-2"}
5
conductivity,inductance,mass,time,voltage
m·t·U·L_e·σ
em,mechanics
m·t⁻²·U⁻²·L_e⁻¹·σ⁻²
m = k₀ · t²·U²·L_e·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "voltage": "-2", "inductance": "-1", "conductivity": "-2"}
5
inductance,mass,resistivity,time,voltage
m·t·U·L_e·ρ_e
em,mechanics
m·t⁻²·U⁻²·L_e⁻¹·ρ_e²
m = k₀ · t²·U²·L_e·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "voltage": "-2", "inductance": "-1", "resistivity": "2"}
6
amount,concentration,inductance,mass,time,voltage
m·t·U·L_e·n·c_n
chemistry,em,mechanics
m³·t⁻¹²·U⁻⁶·L_e³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t⁶·U³·L_e⁻³ᐟ²·c_n
null
0
3
12
28
26.1
-17.1
false
{"mass": "3", "time": "-12", "voltage": "-6", "inductance": "3", "amount": "2", "concentration": "-2"}
6
concentration,inductance,mass,molar_mass,time,voltage
m·t·U·L_e·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻¹²·U⁻⁶·L_e³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻⁶·U⁻³·L_e³ᐟ²·c_n⁻¹
null
0
3
12
30
27.5
-18.5
false
{"mass": "5", "time": "-12", "voltage": "-6", "inductance": "3", "molar_mass": "-2", "concentration": "-2"}
6
inductance,mass,molar_energy,molar_mass,time,voltage
m·t·U·L_e·M_m·E_m
chemistry,em,mechanics
m·t⁻²·U⁻²·L_e·M_m⁻¹·E_m
m = k₀ · t²·U²·L_e⁻¹·M_m·E_m⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "voltage": "-2", "inductance": "1", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,inductance,mass,molar_energy,time,voltage
m·t·U·L_e·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁸·U⁻²·L_e·c_n⁻²·E_m⁻²
L_e = k₀ · m⁻³·t⁸·U²·c_n²·E_m²
null
0
3
8
18
17.1
-8.1
false
{"mass": "3", "time": "-8", "voltage": "-2", "inductance": "1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,gas_constant,inductance,mass,time,voltage
m·t·U·L_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻¹²·U⁻⁶·L_e³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻⁶·U⁻³·L_e³ᐟ²·R⁻¹·k_B
null
1
4
12
30
28.4
-19.9
false
{"mass": "3", "time": "-12", "voltage": "-6", "inductance": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,inductance,mass,time,voltage
m·t·U·L_e·c_n·z
chemistry,em,mechanics
m³·t⁻¹⁰·U⁻⁶·L_e³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻⁵·U⁻³·L_e³ᐟ²·z
null
0
3
10
26
23.7
-14.7
false
{"mass": "3", "time": "-10", "voltage": "-6", "inductance": "3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,inductance,mass,time,voltage
m·t·U·L_e·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻¹²·U⁻⁶·L_e³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻⁶·U⁻³·L_e³ᐟ²·N_A⁻¹
null
1
4
12
28
26.7
-18.2
false
{"mass": "3", "time": "-12", "voltage": "-6", "inductance": "3", "concentration": "-2", "avogadro": "-2"}
6
illuminance,inductance,lum_intensity,mass,time,voltage
m·t·U·L_e·I_v·E_v
em,mechanics,photometry
m·t⁻⁴·U⁻²·L_e·I_v·E_v⁻¹
m = k₀ · t⁴·U²·L_e⁻¹·I_v⁻¹·E_v
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "voltage": "-2", "inductance": "1", "lum_intensity": "1", "illuminance": "-1"}
6
inductance,lum_intensity,luminance,mass,time,voltage
m·t·U·L_e·I_v·L_v
em,mechanics,photometry
m·t⁻⁴·U⁻²·L_e·I_v·L_v⁻¹
m = k₀ · t⁴·U²·L_e⁻¹·I_v⁻¹·L_v
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "voltage": "-2", "inductance": "1", "lum_intensity": "1", "luminance": "-1"}
5
inductance,light_speed,mass,time,voltage
m·t·U·L_e·c₀
constants,em,mechanics
m·t⁻²·U⁻²·L_e·c₀²
m = k₀ · t²·U²·L_e⁻¹·c₀⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "-2", "voltage": "-2", "inductance": "1", "light_speed": "2"}
5
grav_const,inductance,mass,time,voltage
m·t·U·L_e·G
constants,em,mechanics
m⁵·t⁻⁸·U⁻⁶·L_e³·G²
G = k₀ · m⁻⁵ᐟ²·t⁴·U³·L_e⁻³ᐟ²
null
1
3
8
24
21
-12
false
{"mass": "5", "time": "-8", "voltage": "-6", "inductance": "3", "grav_const": "2"}
5
efield,mass,permittivity,time,voltage
m·t·U·E_f·ε
em,mechanics
m·t⁻²·U⁻¹·E_f⁻¹·ε⁻¹
m = k₀ · t²·U·E_f·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "voltage": "-1", "efield": "-1", "permittivity": "-1"}
5
efield,mass,permeability,time,voltage
m·t·U·E_f·μ₀
em,mechanics
m·t⁻⁴·U·E_f⁻³·μ₀
m = k₀ · t⁴·U⁻¹·E_f³·μ₀⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "voltage": "1", "efield": "-3", "permeability": "1"}
5
conductivity,efield,mass,time,voltage
m·t·U·E_f·σ
em,mechanics
m·t⁻³·U⁻¹·E_f⁻¹·σ⁻¹
m = k₀ · t³·U·E_f·σ
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "voltage": "-1", "efield": "-1", "conductivity": "-1"}
5
efield,mass,resistivity,time,voltage
m·t·U·E_f·ρ_e
em,mechanics
m·t⁻³·U⁻¹·E_f⁻¹·ρ_e
m = k₀ · t³·U·E_f·ρ_e⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "voltage": "-1", "efield": "-1", "resistivity": "1"}
6
amount,efield,mass,molar_energy,time,voltage
m·t·U·E_f·n·E_m
chemistry,em,mechanics
m·t⁻²·U²·E_f⁻²·n⁻¹·E_m⁻¹
m = k₀ · t²·U⁻²·E_f²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "voltage": "2", "efield": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,efield,mass,molar_energy,time,voltage
m·t·U·E_f·c_n·E_m
chemistry,em,mechanics
m·t⁻²·U⁻¹·E_f·c_n⁻¹·E_m⁻¹
m = k₀ · t²·U·E_f⁻¹·c_n·E_m
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "voltage": "-1", "efield": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,efield,gas_constant,mass,molar_energy,time,voltage
m·t·U·E_f·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·U²·E_f⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t²·U⁻²·E_f²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "-2", "voltage": "2", "efield": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,efield,mass,molar_energy,time,voltage
m·t·U·E_f·E_m·z
chemistry,em,mechanics
m·t⁻³·U²·E_f⁻²·E_m⁻¹·z⁻¹
m = k₀ · t³·U⁻²·E_f²·E_m·z
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "voltage": "2", "efield": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,efield,mass,molar_energy,time,voltage
m·t·U·E_f·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·U²·E_f⁻²·E_m⁻¹·N_A
m = k₀ · t²·U⁻²·E_f²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "voltage": "2", "efield": "-2", "molar_energy": "-1", "avogadro": "1"}
5
efield,grav_const,mass,time,voltage
m·t·U·E_f·G
constants,em,mechanics
m·t²·U⁻³·E_f³·G
m = k₀ · t⁻²·U³·E_f⁻³·G⁻¹
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "voltage": "-3", "efield": "3", "grav_const": "1"}
5
efield,mass,planck,time,voltage
m·t·U·E_f·h
constants,em,mechanics
m·t⁻¹·U²·E_f⁻²·h⁻¹
m = k₀ · t·U⁻²·E_f²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "voltage": "2", "efield": "-2", "planck": "-1"}
5
efield,elem_charge,mass,time,voltage
m·t·U·E_f·e
constants,em,mechanics
m·t⁻²·U·E_f⁻²·e⁻¹
m = k₀ · t²·U⁻¹·E_f²·e
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "voltage": "1", "efield": "-2", "elem_charge": "-1"}
5
bfield,mass,permittivity,time,voltage
m·t·U·B·ε
em,mechanics
m²·t⁻³·U⁻³·B⁻¹·ε⁻²
B = k₀ · m²·t⁻³·U⁻³·ε⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "time": "-3", "voltage": "-3", "bfield": "-1", "permittivity": "-2"}
5
bfield,mass,permeability,time,voltage
m·t·U·B·μ₀
em,mechanics
m²·t⁻⁵·U⁻¹·B⁻³·μ₀²
U = k₀ · m²·t⁻⁵·B⁻³·μ₀²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "voltage": "-1", "bfield": "-3", "permeability": "2"}
5
bfield,conductivity,mass,time,voltage
m·t·U·B·σ
em,mechanics
m²·t⁻⁵·U⁻³·B⁻¹·σ⁻²
B = k₀ · m²·t⁻⁵·U⁻³·σ⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "voltage": "-3", "bfield": "-1", "conductivity": "-2"}
5
bfield,mass,resistivity,time,voltage
m·t·U·B·ρ_e
em,mechanics
m²·t⁻⁵·U⁻³·B⁻¹·ρ_e²
B = k₀ · m²·t⁻⁵·U⁻³·ρ_e²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "voltage": "-3", "bfield": "-1", "resistivity": "2"}
6
amount,bfield,mass,molar_energy,time,voltage
m·t·U·B·n·E_m
chemistry,em,mechanics
m·t⁻¹·U·B⁻¹·n⁻¹·E_m⁻¹
m = k₀ · t·U⁻¹·B·n·E_m
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "voltage": "1", "bfield": "-1", "amount": "-1", "molar_energy": "-1"}
6
bfield,concentration,mass,molar_mass,time,voltage
m·t·U·B·M_m·c_n
chemistry,em,mechanics
m²·t⁻³·U⁻³·B³·M_m⁻²·c_n⁻²
m = k₀ · t³ᐟ²·U³ᐟ²·B⁻³ᐟ²·M_m·c_n
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "time": "-3", "voltage": "-3", "bfield": "3", "molar_mass": "-2", "concentration": "-2"}
6
bfield,concentration,mass,molar_energy,time,voltage
m·t·U·B·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁵·U⁻¹·B·c_n⁻²·E_m⁻²
U = k₀ · m²·t⁻⁵·B·c_n⁻²·E_m⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "2", "time": "-5", "voltage": "-1", "bfield": "1", "concentration": "-2", "molar_energy": "-2"}
7
bfield,boltzmann,gas_constant,mass,molar_energy,time,voltage
m·t·U·B·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻¹·U·B⁻¹·E_m⁻¹·R·k_B⁻¹
m = k₀ · t·U⁻¹·B·E_m·R⁻¹·k_B
null
1
4
1
7
6.8
1.7
false
{"mass": "1", "time": "-1", "voltage": "1", "bfield": "-1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}