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int64
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stringlengths
10
106
symbols
stringlengths
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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,cat_activity,mass,molar_energy,time,voltage
m·t·U·B·E_m·z
chemistry,em,mechanics
m·t⁻²·U·B⁻¹·E_m⁻¹·z⁻¹
m = k₀ · t²·U⁻¹·B·E_m·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "voltage": "1", "bfield": "-1", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,bfield,mass,molar_energy,time,voltage
m·t·U·B·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻¹·U·B⁻¹·E_m⁻¹·N_A
m = k₀ · t·U⁻¹·B·E_m·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "time": "-1", "voltage": "1", "bfield": "-1", "molar_energy": "-1", "avogadro": "1"}
5
bfield,grav_const,mass,time,voltage
m·t·U·B·G
constants,em,mechanics
m²·t·U⁻³·B³·G²
t = k₀ · m⁻²·U³·B⁻³·G⁻²
null
1
3
3
11
9.4
-0.4
false
{"mass": "2", "time": "1", "voltage": "-3", "bfield": "3", "grav_const": "2"}
5
mass,permeability,permittivity,time,voltage
m·t·U·ε·μ₀
em,mechanics
m²·t⁻²·U⁻⁴·ε⁻³·μ₀⁻¹
μ₀ = k₀ · m²·t⁻²·U⁻⁴·ε⁻³
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-2", "voltage": "-4", "permittivity": "-3", "permeability": "-1"}
6
amount,concentration,mass,permittivity,time,voltage
m·t·U·ε·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·U⁻⁶·ε⁻³·n·c_n⁻¹
n = k₀ · m⁻³·t⁶·U⁶·ε³·c_n
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "voltage": "-6", "permittivity": "-3", "amount": "1", "concentration": "-1"}
6
amount,mass,molar_energy,permittivity,time,voltage
m·t·U·ε·n·E_m
chemistry,em,mechanics
m·t⁻²·U⁻⁴·ε⁻²·n·E_m
m = k₀ · t²·U⁴·ε²·n⁻¹·E_m⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "voltage": "-4", "permittivity": "-2", "amount": "1", "molar_energy": "1"}
6
concentration,mass,molar_mass,permittivity,time,voltage
m·t·U·ε·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻⁶·U⁻⁶·ε⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁶·U⁻⁶·ε⁻³·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "4", "time": "-6", "voltage": "-6", "permittivity": "-3", "molar_mass": "-1", "concentration": "-1"}
6
mass,molar_energy,molar_mass,permittivity,time,voltage
m·t·U·ε·M_m·E_m
chemistry,em,mechanics
m²·t⁻²·U⁻⁴·ε⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻²·U⁻⁴·ε⁻²·E_m
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-2", "voltage": "-4", "permittivity": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,mass,molar_energy,permittivity,time,voltage
m·t·U·ε·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁴·U⁻²·ε⁻¹·c_n⁻¹·E_m⁻¹
ε = k₀ · m²·t⁻⁴·U⁻²·c_n⁻¹·E_m⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "voltage": "-2", "permittivity": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,gas_constant,mass,permittivity,time,voltage
m·t·U·ε·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻⁶·ε⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁶·U⁻⁶·ε⁻³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "time": "-6", "voltage": "-6", "permittivity": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,mass,permittivity,time,voltage
m·t·U·ε·c_n·z
chemistry,em,mechanics
m³·t⁻⁵·U⁻⁶·ε⁻³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁵·U⁻⁶·ε⁻³·z
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-5", "voltage": "-6", "permittivity": "-3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,mass,permittivity,time,voltage
m·t·U·ε·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻⁶·ε⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁶·U⁻⁶·ε⁻³·N_A⁻¹
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "time": "-6", "voltage": "-6", "permittivity": "-3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,gas_constant,mass,molar_energy,permittivity,time,voltage
m·t·U·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·U⁻⁴·ε⁻²·E_m·R⁻¹·k_B
m = k₀ · t²·U⁴·ε²·E_m⁻¹·R·k_B⁻¹
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "-2", "voltage": "-4", "permittivity": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,mass,molar_energy,permittivity,time,voltage
m·t·U·ε·E_m·z
chemistry,em,mechanics
m·t⁻¹·U⁻⁴·ε⁻²·E_m·z
m = k₀ · t·U⁴·ε²·E_m⁻¹·z⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-1", "voltage": "-4", "permittivity": "-2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,mass,molar_energy,permittivity,time,voltage
m·t·U·ε·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·U⁻⁴·ε⁻²·E_m·N_A⁻¹
m = k₀ · t²·U⁴·ε²·E_m⁻¹·N_A
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-2", "voltage": "-4", "permittivity": "-2", "molar_energy": "1", "avogadro": "-1"}
6
illuminance,lum_intensity,mass,permittivity,time,voltage
m·t·U·ε·I_v·E_v
em,mechanics,photometry
m²·t⁻⁴·U⁻⁴·ε⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁴·U⁴·ε²·E_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "voltage": "-4", "permittivity": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
lum_intensity,luminance,mass,permittivity,time,voltage
m·t·U·ε·I_v·L_v
em,mechanics,photometry
m²·t⁻⁴·U⁻⁴·ε⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁴·U⁴·ε²·L_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "voltage": "-4", "permittivity": "-2", "lum_intensity": "1", "luminance": "-1"}
5
light_speed,mass,permittivity,time,voltage
m·t·U·ε·c₀
constants,em,mechanics
m·t⁻¹·U⁻²·ε⁻¹·c₀
m = k₀ · t·U²·ε·c₀⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "voltage": "-2", "permittivity": "-1", "light_speed": "1"}
5
grav_const,mass,permittivity,time,voltage
m·t·U·ε·G
constants,em,mechanics
m⁴·t⁻⁴·U⁻⁶·ε⁻³·G
G = k₀ · m⁻⁴·t⁴·U⁶·ε³
null
1
3
6
18
15.8
-6.8
false
{"mass": "4", "time": "-4", "voltage": "-6", "permittivity": "-3", "grav_const": "1"}
5
mass,permittivity,planck,time,voltage
m·t·U·ε·h
constants,em,mechanics
m·t⁻³·U⁻⁴·ε⁻²·h
m = k₀ · t³·U⁴·ε²·h⁻¹
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-3", "voltage": "-4", "permittivity": "-2", "planck": "1"}
5
elem_charge,mass,permittivity,time,voltage
m·t·U·ε·e
constants,em,mechanics
m·t⁻²·U⁻³·ε⁻²·e
m = k₀ · t²·U³·ε²·e⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-2", "voltage": "-3", "permittivity": "-2", "elem_charge": "1"}
5
conductivity,mass,permeability,time,voltage
m·t·U·μ₀·σ
em,mechanics
m²·t⁻⁵·U⁻⁴·μ₀⁻¹·σ⁻³
μ₀ = k₀ · m²·t⁻⁵·U⁻⁴·σ⁻³
null
0
2
5
15
12.6
-3.1
false
{"mass": "2", "time": "-5", "voltage": "-4", "permeability": "-1", "conductivity": "-3"}
5
mass,permeability,resistivity,time,voltage
m·t·U·μ₀·ρ_e
em,mechanics
m²·t⁻⁵·U⁻⁴·μ₀⁻¹·ρ_e³
μ₀ = k₀ · m²·t⁻⁵·U⁻⁴·ρ_e³
null
0
2
5
15
12.6
-3.1
false
{"mass": "2", "time": "-5", "voltage": "-4", "permeability": "-1", "resistivity": "3"}
6
amount,concentration,mass,permeability,time,voltage
m·t·U·μ₀·n·c_n
chemistry,em,mechanics
m·t⁻⁴·U⁻²·μ₀·n·c_n⁻¹
m = k₀ · t⁴·U²·μ₀⁻¹·n⁻¹·c_n
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "voltage": "-2", "permeability": "1", "amount": "1", "concentration": "-1"}
6
amount,mass,molar_energy,permeability,time,voltage
m·t·U·μ₀·n·E_m
chemistry,em,mechanics
m·t²·U⁴·μ₀⁻²·n⁻³·E_m⁻³
m = k₀ · t⁻²·U⁻⁴·μ₀²·n³·E_m³
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "voltage": "4", "permeability": "-2", "amount": "-3", "molar_energy": "-3"}
6
concentration,mass,molar_mass,permeability,time,voltage
m·t·U·μ₀·M_m·c_n
chemistry,em,mechanics
m²·t⁻⁴·U⁻²·μ₀·M_m⁻¹·c_n⁻¹
μ₀ = k₀ · m⁻²·t⁴·U²·M_m·c_n
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "voltage": "-2", "permeability": "1", "molar_mass": "-1", "concentration": "-1"}
6
mass,molar_energy,molar_mass,permeability,time,voltage
m·t·U·μ₀·M_m·E_m
chemistry,em,mechanics
m²·t⁻²·U⁻⁴·μ₀²·M_m⁻³·E_m³
m = k₀ · t·U²·μ₀⁻¹·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "voltage": "-4", "permeability": "2", "molar_mass": "-3", "molar_energy": "3"}
6
concentration,mass,molar_energy,permeability,time,voltage
m·t·U·μ₀·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻¹⁰·U⁻²·μ₀·c_n⁻³·E_m⁻³
μ₀ = k₀ · m⁻⁴·t¹⁰·U²·c_n³·E_m³
null
0
3
10
23
21.6
-12.6
false
{"mass": "4", "time": "-10", "voltage": "-2", "permeability": "1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,concentration,gas_constant,mass,permeability,time,voltage
m·t·U·μ₀·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·U⁻²·μ₀·c_n⁻¹·R⁻¹·k_B
m = k₀ · t⁴·U²·μ₀⁻¹·c_n·R·k_B⁻¹
null
1
4
4
11
11.1
-2.6
false
{"mass": "1", "time": "-4", "voltage": "-2", "permeability": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,mass,permeability,time,voltage
m·t·U·μ₀·c_n·z
chemistry,em,mechanics
m·t⁻³·U⁻²·μ₀·c_n⁻¹·z
m = k₀ · t³·U²·μ₀⁻¹·c_n·z⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "voltage": "-2", "permeability": "1", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,mass,permeability,time,voltage
m·t·U·μ₀·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·U⁻²·μ₀·c_n⁻¹·N_A⁻¹
m = k₀ · t⁴·U²·μ₀⁻¹·c_n·N_A
null
1
4
4
10
10.1
-1.6
false
{"mass": "1", "time": "-4", "voltage": "-2", "permeability": "1", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,gas_constant,mass,molar_energy,permeability,time,voltage
m·t·U·μ₀·E_m·R·k_B
chemistry,constants,em,mechanics
m·t²·U⁴·μ₀⁻²·E_m⁻³·R³·k_B⁻³
m = k₀ · t⁻²·U⁻⁴·μ₀²·E_m³·R⁻³·k_B³
null
1
4
4
18
16
-7.5
false
{"mass": "1", "time": "2", "voltage": "4", "permeability": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
6
cat_activity,mass,molar_energy,permeability,time,voltage
m·t·U·μ₀·E_m·z
chemistry,em,mechanics
m·t⁻¹·U⁴·μ₀⁻²·E_m⁻³·z⁻³
m = k₀ · t·U⁻⁴·μ₀²·E_m³·z³
null
0
3
4
14
12.3
-3.3
false
{"mass": "1", "time": "-1", "voltage": "4", "permeability": "-2", "molar_energy": "-3", "cat_activity": "-3"}
6
avogadro,mass,molar_energy,permeability,time,voltage
m·t·U·μ₀·E_m·N_A
chemistry,constants,em,mechanics
m·t²·U⁴·μ₀⁻²·E_m⁻³·N_A³
m = k₀ · t⁻²·U⁻⁴·μ₀²·E_m³·N_A⁻³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "time": "2", "voltage": "4", "permeability": "-2", "molar_energy": "-3", "avogadro": "3"}
6
illuminance,lum_intensity,mass,permeability,time,voltage
m·t·U·μ₀·I_v·E_v
em,mechanics,photometry
m²·t⁻⁸·U⁻⁴·μ₀²·I_v³·E_v⁻³
m = k₀ · t⁴·U²·μ₀⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
8
22
19.9
-10.9
false
{"mass": "2", "time": "-8", "voltage": "-4", "permeability": "2", "lum_intensity": "3", "illuminance": "-3"}
6
lum_intensity,luminance,mass,permeability,time,voltage
m·t·U·μ₀·I_v·L_v
em,mechanics,photometry
m²·t⁻⁸·U⁻⁴·μ₀²·I_v³·L_v⁻³
m = k₀ · t⁴·U²·μ₀⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
8
22
19.9
-10.9
false
{"mass": "2", "time": "-8", "voltage": "-4", "permeability": "2", "lum_intensity": "3", "luminance": "-3"}
5
light_speed,mass,permeability,time,voltage
m·t·U·μ₀·c₀
constants,em,mechanics
m·t⁻¹·U⁻²·μ₀·c₀³
m = k₀ · t·U²·μ₀⁻¹·c₀⁻³
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-1", "voltage": "-2", "permeability": "1", "light_speed": "3"}
5
grav_const,mass,permeability,time,voltage
m·t·U·μ₀·G
constants,em,mechanics
m²·t⁻²·U⁻²·μ₀·G
μ₀ = k₀ · m⁻²·t²·U²·G⁻¹
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "time": "-2", "voltage": "-2", "permeability": "1", "grav_const": "1"}
5
mass,permeability,planck,time,voltage
m·t·U·μ₀·h
constants,em,mechanics
m·t⁵·U⁴·μ₀⁻²·h⁻³
m = k₀ · t⁻⁵·U⁻⁴·μ₀²·h³
null
1
3
5
15
13.2
-4.2
false
{"mass": "1", "time": "5", "voltage": "4", "permeability": "-2", "planck": "-3"}
5
elem_charge,mass,permeability,time,voltage
m·t·U·μ₀·e
constants,em,mechanics
m·t²·U·μ₀⁻²·e⁻³
m = k₀ · t⁻²·U⁻¹·μ₀²·e³
null
1
3
3
9
8
1
false
{"mass": "1", "time": "2", "voltage": "1", "permeability": "-2", "elem_charge": "-3"}
6
amount,concentration,conductivity,mass,time,voltage
m·t·U·σ·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·U⁻⁶·σ⁻³·n·c_n⁻¹
n = k₀ · m⁻³·t⁹·U⁶·σ³·c_n
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "time": "-9", "voltage": "-6", "conductivity": "-3", "amount": "1", "concentration": "-1"}
6
amount,conductivity,mass,molar_energy,time,voltage
m·t·U·σ·n·E_m
chemistry,em,mechanics
m·t⁻⁴·U⁻⁴·σ⁻²·n·E_m
m = k₀ · t⁴·U⁴·σ²·n⁻¹·E_m⁻¹
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "voltage": "-4", "conductivity": "-2", "amount": "1", "molar_energy": "1"}
6
concentration,conductivity,mass,molar_mass,time,voltage
m·t·U·σ·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻⁹·U⁻⁶·σ⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁹·U⁻⁶·σ⁻³·c_n⁻¹
null
0
3
9
24
21.8
-12.8
false
{"mass": "4", "time": "-9", "voltage": "-6", "conductivity": "-3", "molar_mass": "-1", "concentration": "-1"}
6
conductivity,mass,molar_energy,molar_mass,time,voltage
m·t·U·σ·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁴·U⁻⁴·σ⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻⁴·U⁻⁴·σ⁻²·E_m
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "voltage": "-4", "conductivity": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,conductivity,mass,molar_energy,time,voltage
m·t·U·σ·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁵·U⁻²·σ⁻¹·c_n⁻¹·E_m⁻¹
σ = k₀ · m²·t⁻⁵·U⁻²·c_n⁻¹·E_m⁻¹
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "time": "-5", "voltage": "-2", "conductivity": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,conductivity,gas_constant,mass,time,voltage
m·t·U·σ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·U⁻⁶·σ⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁹·U⁻⁶·σ⁻³·R⁻¹·k_B
null
1
4
9
24
22.7
-14.2
false
{"mass": "3", "time": "-9", "voltage": "-6", "conductivity": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,conductivity,mass,time,voltage
m·t·U·σ·c_n·z
chemistry,em,mechanics
m³·t⁻⁸·U⁻⁶·σ⁻³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁸·U⁻⁶·σ⁻³·z
null
0
3
8
22
19.9
-10.9
false
{"mass": "3", "time": "-8", "voltage": "-6", "conductivity": "-3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,conductivity,mass,time,voltage
m·t·U·σ·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·U⁻⁶·σ⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁹·U⁻⁶·σ⁻³·N_A⁻¹
null
1
4
9
23
21.7
-13.2
false
{"mass": "3", "time": "-9", "voltage": "-6", "conductivity": "-3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,conductivity,gas_constant,mass,molar_energy,time,voltage
m·t·U·σ·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·U⁻⁴·σ⁻²·E_m·R⁻¹·k_B
m = k₀ · t⁴·U⁴·σ²·E_m⁻¹·R·k_B⁻¹
null
1
4
4
14
13.2
-4.7
false
{"mass": "1", "time": "-4", "voltage": "-4", "conductivity": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,conductivity,mass,molar_energy,time,voltage
m·t·U·σ·E_m·z
chemistry,em,mechanics
m·t⁻³·U⁻⁴·σ⁻²·E_m·z
m = k₀ · t³·U⁴·σ²·E_m⁻¹·z⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-3", "voltage": "-4", "conductivity": "-2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,conductivity,mass,molar_energy,time,voltage
m·t·U·σ·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·U⁻⁴·σ⁻²·E_m·N_A⁻¹
m = k₀ · t⁴·U⁴·σ²·E_m⁻¹·N_A
null
1
4
4
13
12.2
-3.7
false
{"mass": "1", "time": "-4", "voltage": "-4", "conductivity": "-2", "molar_energy": "1", "avogadro": "-1"}
6
conductivity,illuminance,lum_intensity,mass,time,voltage
m·t·U·σ·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·U⁻⁴·σ⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁶·U⁴·σ²·E_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "voltage": "-4", "conductivity": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
conductivity,lum_intensity,luminance,mass,time,voltage
m·t·U·σ·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·U⁻⁴·σ⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁶·U⁴·σ²·L_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "voltage": "-4", "conductivity": "-2", "lum_intensity": "1", "luminance": "-1"}
5
conductivity,light_speed,mass,time,voltage
m·t·U·σ·c₀
constants,em,mechanics
m·t⁻²·U⁻²·σ⁻¹·c₀
m = k₀ · t²·U²·σ·c₀⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "voltage": "-2", "conductivity": "-1", "light_speed": "1"}
5
conductivity,grav_const,mass,time,voltage
m·t·U·σ·G
constants,em,mechanics
m⁴·t⁻⁷·U⁻⁶·σ⁻³·G
G = k₀ · m⁻⁴·t⁷·U⁶·σ³
null
1
3
7
21
18.4
-9.4
false
{"mass": "4", "time": "-7", "voltage": "-6", "conductivity": "-3", "grav_const": "1"}
5
conductivity,mass,planck,time,voltage
m·t·U·σ·h
constants,em,mechanics
m·t⁻⁵·U⁻⁴·σ⁻²·h
m = k₀ · t⁵·U⁴·σ²·h⁻¹
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "time": "-5", "voltage": "-4", "conductivity": "-2", "planck": "1"}
5
conductivity,elem_charge,mass,time,voltage
m·t·U·σ·e
constants,em,mechanics
m·t⁻⁴·U⁻³·σ⁻²·e
m = k₀ · t⁴·U³·σ²·e⁻¹
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-4", "voltage": "-3", "conductivity": "-2", "elem_charge": "1"}
6
amount,concentration,mass,resistivity,time,voltage
m·t·U·ρ_e·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·U⁻⁶·ρ_e³·n·c_n⁻¹
n = k₀ · m⁻³·t⁹·U⁶·ρ_e⁻³·c_n
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "time": "-9", "voltage": "-6", "resistivity": "3", "amount": "1", "concentration": "-1"}
6
amount,mass,molar_energy,resistivity,time,voltage
m·t·U·ρ_e·n·E_m
chemistry,em,mechanics
m·t⁻⁴·U⁻⁴·ρ_e²·n·E_m
m = k₀ · t⁴·U⁴·ρ_e⁻²·n⁻¹·E_m⁻¹
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "time": "-4", "voltage": "-4", "resistivity": "2", "amount": "1", "molar_energy": "1"}
6
concentration,mass,molar_mass,resistivity,time,voltage
m·t·U·ρ_e·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻⁹·U⁻⁶·ρ_e³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁹·U⁻⁶·ρ_e³·c_n⁻¹
null
0
3
9
24
21.8
-12.8
false
{"mass": "4", "time": "-9", "voltage": "-6", "resistivity": "3", "molar_mass": "-1", "concentration": "-1"}
6
mass,molar_energy,molar_mass,resistivity,time,voltage
m·t·U·ρ_e·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁴·U⁻⁴·ρ_e²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻⁴·U⁻⁴·ρ_e²·E_m
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "voltage": "-4", "resistivity": "2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,mass,molar_energy,resistivity,time,voltage
m·t·U·ρ_e·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁵·U⁻²·ρ_e·c_n⁻¹·E_m⁻¹
ρ_e = k₀ · m⁻²·t⁵·U²·c_n·E_m
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "time": "-5", "voltage": "-2", "resistivity": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,gas_constant,mass,resistivity,time,voltage
m·t·U·ρ_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·U⁻⁶·ρ_e³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁹·U⁻⁶·ρ_e³·R⁻¹·k_B
null
1
4
9
24
22.7
-14.2
false
{"mass": "3", "time": "-9", "voltage": "-6", "resistivity": "3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,mass,resistivity,time,voltage
m·t·U·ρ_e·c_n·z
chemistry,em,mechanics
m³·t⁻⁸·U⁻⁶·ρ_e³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁸·U⁻⁶·ρ_e³·z
null
0
3
8
22
19.9
-10.9
false
{"mass": "3", "time": "-8", "voltage": "-6", "resistivity": "3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,mass,resistivity,time,voltage
m·t·U·ρ_e·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·U⁻⁶·ρ_e³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁹·U⁻⁶·ρ_e³·N_A⁻¹
null
1
4
9
23
21.7
-13.2
false
{"mass": "3", "time": "-9", "voltage": "-6", "resistivity": "3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,gas_constant,mass,molar_energy,resistivity,time,voltage
m·t·U·ρ_e·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·U⁻⁴·ρ_e²·E_m·R⁻¹·k_B
m = k₀ · t⁴·U⁴·ρ_e⁻²·E_m⁻¹·R·k_B⁻¹
null
1
4
4
14
13.2
-4.7
false
{"mass": "1", "time": "-4", "voltage": "-4", "resistivity": "2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,mass,molar_energy,resistivity,time,voltage
m·t·U·ρ_e·E_m·z
chemistry,em,mechanics
m·t⁻³·U⁻⁴·ρ_e²·E_m·z
m = k₀ · t³·U⁴·ρ_e⁻²·E_m⁻¹·z⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-3", "voltage": "-4", "resistivity": "2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,mass,molar_energy,resistivity,time,voltage
m·t·U·ρ_e·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·U⁻⁴·ρ_e²·E_m·N_A⁻¹
m = k₀ · t⁴·U⁴·ρ_e⁻²·E_m⁻¹·N_A
null
1
4
4
13
12.2
-3.7
false
{"mass": "1", "time": "-4", "voltage": "-4", "resistivity": "2", "molar_energy": "1", "avogadro": "-1"}
6
illuminance,lum_intensity,mass,resistivity,time,voltage
m·t·U·ρ_e·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·U⁻⁴·ρ_e²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁶·U⁴·ρ_e⁻²·E_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "voltage": "-4", "resistivity": "2", "lum_intensity": "1", "illuminance": "-1"}
6
lum_intensity,luminance,mass,resistivity,time,voltage
m·t·U·ρ_e·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·U⁻⁴·ρ_e²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁶·U⁴·ρ_e⁻²·L_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "voltage": "-4", "resistivity": "2", "lum_intensity": "1", "luminance": "-1"}
5
light_speed,mass,resistivity,time,voltage
m·t·U·ρ_e·c₀
constants,em,mechanics
m·t⁻²·U⁻²·ρ_e·c₀
m = k₀ · t²·U²·ρ_e⁻¹·c₀⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "voltage": "-2", "resistivity": "1", "light_speed": "1"}
5
grav_const,mass,resistivity,time,voltage
m·t·U·ρ_e·G
constants,em,mechanics
m⁴·t⁻⁷·U⁻⁶·ρ_e³·G
G = k₀ · m⁻⁴·t⁷·U⁶·ρ_e⁻³
null
1
3
7
21
18.4
-9.4
false
{"mass": "4", "time": "-7", "voltage": "-6", "resistivity": "3", "grav_const": "1"}
5
mass,planck,resistivity,time,voltage
m·t·U·ρ_e·h
constants,em,mechanics
m·t⁻⁵·U⁻⁴·ρ_e²·h
m = k₀ · t⁵·U⁴·ρ_e⁻²·h⁻¹
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "time": "-5", "voltage": "-4", "resistivity": "2", "planck": "1"}
5
elem_charge,mass,resistivity,time,voltage
m·t·U·ρ_e·e
constants,em,mechanics
m·t⁻⁴·U⁻³·ρ_e²·e
m = k₀ · t⁴·U³·ρ_e⁻²·e⁻¹
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-4", "voltage": "-3", "resistivity": "2", "elem_charge": "1"}
6
amount,concentration,elem_charge,mass,time,voltage
m·t·U·n·c_n·e
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻³·n²·c_n⁻²·e⁻³
n = k₀ · m⁻³ᐟ²·t³·U³ᐟ²·c_n·e³ᐟ²
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-6", "voltage": "-3", "amount": "2", "concentration": "-2", "elem_charge": "-3"}
6
concentration,elem_charge,mass,molar_mass,time,voltage
m·t·U·M_m·c_n·e
chemistry,constants,em,mechanics
m⁵·t⁻⁶·U⁻³·M_m⁻²·c_n⁻²·e⁻³
M_m = k₀ · m⁵ᐟ²·t⁻³·U⁻³ᐟ²·c_n⁻¹·e⁻³ᐟ²
null
1
4
6
21
18.8
-10.3
false
{"mass": "5", "time": "-6", "voltage": "-3", "molar_mass": "-2", "concentration": "-2", "elem_charge": "-3"}
6
concentration,elem_charge,mass,molar_energy,time,voltage
m·t·U·c_n·E_m·e
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻¹·c_n⁻²·E_m⁻²·e⁻¹
U = k₀ · m³·t⁻⁶·c_n⁻²·E_m⁻²·e⁻¹
null
1
4
6
15
14.6
-6.1
false
{"mass": "3", "time": "-6", "voltage": "-1", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-1"}
7
boltzmann,concentration,elem_charge,gas_constant,mass,time,voltage
m·t·U·c_n·R·k_B·e
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻³·c_n⁻²·R⁻²·k_B²·e⁻³
c_n = k₀ · m³ᐟ²·t⁻³·U⁻³ᐟ²·R⁻¹·k_B·e⁻³ᐟ²
null
2
4
6
21
20.1
-13.1
false
{"mass": "3", "time": "-6", "voltage": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-3"}
6
cat_activity,concentration,elem_charge,mass,time,voltage
m·t·U·c_n·z·e
chemistry,constants,em,mechanics
m³·t⁻⁴·U⁻³·c_n⁻²·z²·e⁻³
c_n = k₀ · m³ᐟ²·t⁻²·U⁻³ᐟ²·z·e⁻³ᐟ²
null
1
4
4
17
15
-6.5
false
{"mass": "3", "time": "-4", "voltage": "-3", "concentration": "-2", "cat_activity": "2", "elem_charge": "-3"}
6
avogadro,concentration,elem_charge,mass,time,voltage
m·t·U·c_n·e·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·U⁻³·c_n⁻²·e⁻³·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·U⁻³ᐟ²·e⁻³ᐟ²·N_A⁻¹
null
2
4
6
19
18.4
-11.4
false
{"mass": "3", "time": "-6", "voltage": "-3", "concentration": "-2", "elem_charge": "-3", "avogadro": "-2"}
6
elem_charge,illuminance,lum_intensity,mass,time,voltage
m·t·U·I_v·E_v·e
constants,em,mechanics,photometry
m·t⁻²·U⁻¹·I_v·E_v⁻¹·e⁻¹
m = k₀ · t²·U·I_v⁻¹·E_v·e
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-2", "voltage": "-1", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-1"}
6
elem_charge,lum_intensity,luminance,mass,time,voltage
m·t·U·I_v·L_v·e
constants,em,mechanics,photometry
m·t⁻²·U⁻¹·I_v·L_v⁻¹·e⁻¹
m = k₀ · t²·U·I_v⁻¹·L_v·e
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-2", "voltage": "-1", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-1"}
5
elem_charge,grav_const,mass,time,voltage
m·t·U·G·e
constants,em,mechanics
m⁵·t⁻²·U⁻³·G²·e⁻³
t = k₀ · m⁵ᐟ²·U⁻³ᐟ²·G·e⁻³ᐟ²
null
2
3
5
15
14.2
-6.7
false
{"mass": "5", "time": "-2", "voltage": "-3", "grav_const": "2", "elem_charge": "-3"}
4
efield,mass,resistance,time
m·t·R·E_f
em,mechanics
m·t⁻³·R·E_f⁻²
m = k₀ · t³·R⁻¹·E_f²
null
0
2
3
7
5.7
3.8
true
{"mass": "1", "time": "-3", "resistance": "1", "efield": "-2"}
5
bfield,mag_flux,mass,resistance,time
m·t·R·B·Φ
em,mechanics
m·t⁻¹·R·B⁻¹·Φ⁻¹
m = k₀ · t·R⁻¹·B·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "resistance": "1", "bfield": "-1", "mag_flux": "-1"}
5
bfield,mass,permittivity,resistance,time
m·t·R·B·ε
em,mechanics
m·t⁻³·R³·B⁻²·ε²
m = k₀ · t³·R⁻³·B²·ε⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "resistance": "3", "bfield": "-2", "permittivity": "2"}
5
bfield,mass,permeability,resistance,time
m·t·R·B·μ₀
em,mechanics
m·t⁻³·R⁻¹·B⁻²·μ₀²
m = k₀ · t³·R·B²·μ₀⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "resistance": "-1", "bfield": "-2", "permeability": "2"}
5
bfield,conductivity,mass,resistance,time
m·t·R·B·σ
em,mechanics
m·t⁻¹·R³·B⁻²·σ²
m = k₀ · t·R⁻³·B²·σ⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-1", "resistance": "3", "bfield": "-2", "conductivity": "2"}
5
bfield,mass,resistance,resistivity,time
m·t·R·B·ρ_e
em,mechanics
m·t⁻¹·R³·B⁻²·ρ_e⁻²
m = k₀ · t·R⁻³·B²·ρ_e²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-1", "resistance": "3", "bfield": "-2", "resistivity": "-2"}
6
amount,bfield,concentration,mass,resistance,time
m·t·R·B·n·c_n
chemistry,em,mechanics
m³·t⁻³·R³·B⁻⁶·n⁻²·c_n²
n = k₀ · m³ᐟ²·t⁻³ᐟ²·R³ᐟ²·B⁻³·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-3", "resistance": "3", "bfield": "-6", "amount": "-2", "concentration": "2"}
6
amount,bfield,mass,molar_energy,resistance,time
m·t·R·B·n·E_m
chemistry,em,mechanics
m²·t⁻³·R·B⁻²·n⁻¹·E_m⁻¹
R = k₀ · m⁻²·t³·B²·n·E_m
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "resistance": "1", "bfield": "-2", "amount": "-1", "molar_energy": "-1"}
6
bfield,concentration,mass,molar_mass,resistance,time
m·t·R·B·M_m·c_n
chemistry,em,mechanics
m·t⁻³·R³·B⁻⁶·M_m²·c_n²
m = k₀ · t³·R⁻³·B⁶·M_m⁻²·c_n⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "1", "time": "-3", "resistance": "3", "bfield": "-6", "molar_mass": "2", "concentration": "2"}
6
bfield,mass,molar_energy,molar_mass,resistance,time
m·t·R·B·M_m·E_m
chemistry,em,mechanics
m·t⁻³·R·B⁻²·M_m·E_m⁻¹
m = k₀ · t³·R⁻¹·B²·M_m⁻¹·E_m
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "resistance": "1", "bfield": "-2", "molar_mass": "1", "molar_energy": "-1"}
6
bfield,concentration,mass,molar_energy,resistance,time
m·t·R·B·c_n·E_m
chemistry,em,mechanics
m·t⁻³·R⁻¹·B²·c_n⁻²·E_m⁻²
m = k₀ · t³·R·B⁻²·c_n²·E_m²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "resistance": "-1", "bfield": "2", "concentration": "-2", "molar_energy": "-2"}
7
bfield,boltzmann,concentration,gas_constant,mass,resistance,time
m·t·R·B·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻³·R³·B⁻⁶·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·t³ᐟ²·R⁻³ᐟ²·B³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "time": "-3", "resistance": "3", "bfield": "-6", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
bfield,cat_activity,concentration,mass,resistance,time
m·t·R·B·c_n·z
chemistry,em,mechanics
m³·t⁻⁵·R³·B⁻⁶·c_n²·z⁻²
c_n = k₀ · m⁻³ᐟ²·t⁵ᐟ²·R⁻³ᐟ²·B³·z
null
0
3
6
21
18.2
-9.2
false
{"mass": "3", "time": "-5", "resistance": "3", "bfield": "-6", "concentration": "2", "cat_activity": "-2"}
6
avogadro,bfield,concentration,mass,resistance,time
m·t·R·B·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻³·R³·B⁻⁶·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·t³ᐟ²·R⁻³ᐟ²·B³·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-3", "resistance": "3", "bfield": "-6", "concentration": "2", "avogadro": "2"}
7
bfield,boltzmann,gas_constant,mass,molar_energy,resistance,time
m·t·R·B·E_m·R·k_B
chemistry,constants,em,mechanics
m²·t⁻³·R·B⁻²·E_m⁻¹·R·k_B⁻¹
R = k₀ · m⁻²·t³·B²·E_m·R⁻¹·k_B
null
1
4
3
11
10.6
-2.1
false
{"mass": "2", "time": "-3", "resistance": "1", "bfield": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
bfield,cat_activity,mass,molar_energy,resistance,time
m·t·R·B·E_m·z
chemistry,em,mechanics
m²·t⁻⁴·R·B⁻²·E_m⁻¹·z⁻¹
R = k₀ · m⁻²·t⁴·B²·E_m·z
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "resistance": "1", "bfield": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,bfield,mass,molar_energy,resistance,time
m·t·R·B·E_m·N_A
chemistry,constants,em,mechanics
m²·t⁻³·R·B⁻²·E_m⁻¹·N_A
R = k₀ · m⁻²·t³·B²·E_m·N_A⁻¹
null
1
4
3
10
9.6
-1.1
false
{"mass": "2", "time": "-3", "resistance": "1", "bfield": "-2", "molar_energy": "-1", "avogadro": "1"}