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
cat_activity,concentration,current,mass,time,voltage
m·t·i·U·c_n·z
chemistry,em,mechanics
m³·t⁻⁷·i⁻³·U⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻⁷ᐟ²·i⁻³ᐟ²·U⁻³ᐟ²·z
null
0
3
7
20
18
-9
false
{"mass": "3", "time": "-7", "current": "-3", "voltage": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,current,mass,time,voltage
m·t·i·U·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·i⁻³·U⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻⁹ᐟ²·i⁻³ᐟ²·U⁻³ᐟ²·N_A⁻¹
null
1
4
9
22
21
-12.5
false
{"mass": "3", "time": "-9", "current": "-3", "voltage": "-3", "concentration": "-2", "avogadro": "-2"}
6
current,illuminance,lum_intensity,mass,time,voltage
m·t·i·U·I_v·E_v
em,mechanics,photometry
m·t⁻³·i⁻¹·U⁻¹·I_v·E_v⁻¹
m = k₀ · t³·i·U·I_v⁻¹·E_v
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "current": "-1", "voltage": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
current,lum_intensity,luminance,mass,time,voltage
m·t·i·U·I_v·L_v
em,mechanics,photometry
m·t⁻³·i⁻¹·U⁻¹·I_v·L_v⁻¹
m = k₀ · t³·i·U·I_v⁻¹·L_v
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "current": "-1", "voltage": "-1", "lum_intensity": "1", "luminance": "-1"}
5
current,light_speed,mass,time,voltage
m·t·i·U·c₀
constants,em,mechanics
m·t⁻¹·i⁻¹·U⁻¹·c₀²
m = k₀ · t·i·U·c₀⁻²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "current": "-1", "voltage": "-1", "light_speed": "2"}
5
current,grav_const,mass,time,voltage
m·t·i·U·G
constants,em,mechanics
m⁵·t⁻⁵·i⁻³·U⁻³·G²
G = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·i³ᐟ²·U³ᐟ²
null
1
3
5
18
15.3
-6.3
false
{"mass": "5", "time": "-5", "current": "-3", "voltage": "-3", "grav_const": "2"}
5
current,mass,permittivity,resistance,time
m·t·i·R·ε
em,mechanics
m·t⁻¹·i⁻²·R⁻³·ε⁻²
m = k₀ · t·i²·R³·ε²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-1", "current": "-2", "resistance": "-3", "permittivity": "-2"}
5
current,mass,permeability,resistance,time
m·t·i·R·μ₀
em,mechanics
m·t⁻¹·i⁻²·R·μ₀⁻²
m = k₀ · t·i²·R⁻¹·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "current": "-2", "resistance": "1", "permeability": "-2"}
5
conductivity,current,mass,resistance,time
m·t·i·R·σ
em,mechanics
m·t⁻³·i⁻²·R⁻³·σ⁻²
m = k₀ · t³·i²·R³·σ²
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "resistance": "-3", "conductivity": "-2"}
5
current,mass,resistance,resistivity,time
m·t·i·R·ρ_e
em,mechanics
m·t⁻³·i⁻²·R⁻³·ρ_e²
m = k₀ · t³·i²·R³·ρ_e⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "resistance": "-3", "resistivity": "2"}
6
amount,concentration,current,mass,resistance,time
m·t·i·R·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·i⁻⁶·R⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t⁹ᐟ²·i³·R³ᐟ²·c_n
null
0
3
9
25
22.5
-13.5
false
{"mass": "3", "time": "-9", "current": "-6", "resistance": "-3", "amount": "2", "concentration": "-2"}
6
concentration,current,mass,molar_mass,resistance,time
m·t·i·R·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁹·i⁻⁶·R⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·i⁻³·R⁻³ᐟ²·c_n⁻¹
null
0
3
9
27
23.9
-14.9
false
{"mass": "5", "time": "-9", "current": "-6", "resistance": "-3", "molar_mass": "-2", "concentration": "-2"}
6
current,mass,molar_energy,molar_mass,resistance,time
m·t·i·R·M_m·E_m
chemistry,em,mechanics
m·t⁻¹·i⁻²·R⁻¹·M_m⁻¹·E_m
m = k₀ · t·i²·R·M_m·E_m⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "current": "-2", "resistance": "-1", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,current,mass,molar_energy,resistance,time
m·t·i·R·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁷·i⁻²·R⁻¹·c_n⁻²·E_m⁻²
R = k₀ · m³·t⁻⁷·i⁻²·c_n⁻²·E_m⁻²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "time": "-7", "current": "-2", "resistance": "-1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,current,gas_constant,mass,resistance,time
m·t·i·R·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·i⁻⁶·R⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻⁹ᐟ²·i⁻³·R⁻³ᐟ²·R⁻¹·k_B
null
1
4
9
27
24.8
-16.3
false
{"mass": "3", "time": "-9", "current": "-6", "resistance": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,current,mass,resistance,time
m·t·i·R·c_n·z
chemistry,em,mechanics
m³·t⁻⁷·i⁻⁶·R⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻⁷ᐟ²·i⁻³·R⁻³ᐟ²·z
null
0
3
7
23
20.1
-11.1
false
{"mass": "3", "time": "-7", "current": "-6", "resistance": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,current,mass,resistance,time
m·t·i·R·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·i⁻⁶·R⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻⁹ᐟ²·i⁻³·R⁻³ᐟ²·N_A⁻¹
null
1
4
9
25
23.1
-14.6
false
{"mass": "3", "time": "-9", "current": "-6", "resistance": "-3", "concentration": "-2", "avogadro": "-2"}
6
current,illuminance,lum_intensity,mass,resistance,time
m·t·i·R·I_v·E_v
em,mechanics,photometry
m·t⁻³·i⁻²·R⁻¹·I_v·E_v⁻¹
m = k₀ · t³·i²·R·I_v⁻¹·E_v
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "resistance": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
current,lum_intensity,luminance,mass,resistance,time
m·t·i·R·I_v·L_v
em,mechanics,photometry
m·t⁻³·i⁻²·R⁻¹·I_v·L_v⁻¹
m = k₀ · t³·i²·R·I_v⁻¹·L_v
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "resistance": "-1", "lum_intensity": "1", "luminance": "-1"}
5
current,light_speed,mass,resistance,time
m·t·i·R·c₀
constants,em,mechanics
m·t⁻¹·i⁻²·R⁻¹·c₀²
m = k₀ · t·i²·R·c₀⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "current": "-2", "resistance": "-1", "light_speed": "2"}
5
current,grav_const,mass,resistance,time
m·t·i·R·G
constants,em,mechanics
m⁵·t⁻⁵·i⁻⁶·R⁻³·G²
G = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·i³·R³ᐟ²
null
1
3
6
21
17.9
-8.9
false
{"mass": "5", "time": "-5", "current": "-6", "resistance": "-3", "grav_const": "2"}
5
capacitance,current,mass,permittivity,time
m·t·i·C_e·ε
em,mechanics
m·t⁻⁴·i⁻²·C_e³·ε⁻²
m = k₀ · t⁴·i²·C_e⁻³·ε²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "current": "-2", "capacitance": "3", "permittivity": "-2"}
5
capacitance,conductivity,current,mass,time
m·t·i·C_e·σ
em,mechanics
m·t⁻⁶·i⁻²·C_e³·σ⁻²
m = k₀ · t⁶·i²·C_e⁻³·σ²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "current": "-2", "capacitance": "3", "conductivity": "-2"}
5
capacitance,current,mass,resistivity,time
m·t·i·C_e·ρ_e
em,mechanics
m·t⁻⁶·i⁻²·C_e³·ρ_e²
m = k₀ · t⁶·i²·C_e⁻³·ρ_e⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "current": "-2", "capacitance": "3", "resistivity": "2"}
6
amount,capacitance,concentration,current,mass,time
m·t·i·C_e·n·c_n
chemistry,em,mechanics
m³·t⁻¹²·i⁻⁶·C_e³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t⁶·i³·C_e⁻³ᐟ²·c_n
null
0
3
12
28
26.1
-17.1
false
{"mass": "3", "time": "-12", "current": "-6", "capacitance": "3", "amount": "2", "concentration": "-2"}
6
capacitance,concentration,current,mass,molar_mass,time
m·t·i·C_e·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻¹²·i⁻⁶·C_e³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻⁶·i⁻³·C_e³ᐟ²·c_n⁻¹
null
0
3
12
30
27.5
-18.5
false
{"mass": "5", "time": "-12", "current": "-6", "capacitance": "3", "molar_mass": "-2", "concentration": "-2"}
6
capacitance,current,mass,molar_energy,molar_mass,time
m·t·i·C_e·M_m·E_m
chemistry,em,mechanics
m·t⁻²·i⁻²·C_e·M_m⁻¹·E_m
m = k₀ · t²·i²·C_e⁻¹·M_m·E_m⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "current": "-2", "capacitance": "1", "molar_mass": "-1", "molar_energy": "1"}
6
capacitance,concentration,current,mass,molar_energy,time
m·t·i·C_e·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁸·i⁻²·C_e·c_n⁻²·E_m⁻²
C_e = k₀ · m⁻³·t⁸·i²·c_n²·E_m²
null
0
3
8
18
17.1
-8.1
false
{"mass": "3", "time": "-8", "current": "-2", "capacitance": "1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,capacitance,concentration,current,gas_constant,mass,time
m·t·i·C_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻¹²·i⁻⁶·C_e³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻⁶·i⁻³·C_e³ᐟ²·R⁻¹·k_B
null
1
4
12
30
28.4
-19.9
false
{"mass": "3", "time": "-12", "current": "-6", "capacitance": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
capacitance,cat_activity,concentration,current,mass,time
m·t·i·C_e·c_n·z
chemistry,em,mechanics
m³·t⁻¹⁰·i⁻⁶·C_e³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻⁵·i⁻³·C_e³ᐟ²·z
null
0
3
10
26
23.7
-14.7
false
{"mass": "3", "time": "-10", "current": "-6", "capacitance": "3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,capacitance,concentration,current,mass,time
m·t·i·C_e·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻¹²·i⁻⁶·C_e³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻⁶·i⁻³·C_e³ᐟ²·N_A⁻¹
null
1
4
12
28
26.7
-18.2
false
{"mass": "3", "time": "-12", "current": "-6", "capacitance": "3", "concentration": "-2", "avogadro": "-2"}
6
capacitance,current,illuminance,lum_intensity,mass,time
m·t·i·C_e·I_v·E_v
em,mechanics,photometry
m·t⁻⁴·i⁻²·C_e·I_v·E_v⁻¹
m = k₀ · t⁴·i²·C_e⁻¹·I_v⁻¹·E_v
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "current": "-2", "capacitance": "1", "lum_intensity": "1", "illuminance": "-1"}
6
capacitance,current,lum_intensity,luminance,mass,time
m·t·i·C_e·I_v·L_v
em,mechanics,photometry
m·t⁻⁴·i⁻²·C_e·I_v·L_v⁻¹
m = k₀ · t⁴·i²·C_e⁻¹·I_v⁻¹·L_v
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "current": "-2", "capacitance": "1", "lum_intensity": "1", "luminance": "-1"}
5
capacitance,current,light_speed,mass,time
m·t·i·C_e·c₀
constants,em,mechanics
m·t⁻²·i⁻²·C_e·c₀²
m = k₀ · t²·i²·C_e⁻¹·c₀⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "-2", "current": "-2", "capacitance": "1", "light_speed": "2"}
5
capacitance,current,grav_const,mass,time
m·t·i·C_e·G
constants,em,mechanics
m⁵·t⁻⁸·i⁻⁶·C_e³·G²
G = k₀ · m⁻⁵ᐟ²·t⁴·i³·C_e⁻³ᐟ²
null
1
3
8
24
21
-12
false
{"mass": "5", "time": "-8", "current": "-6", "capacitance": "3", "grav_const": "2"}
5
current,inductance,mass,permittivity,time
m·t·i·L_e·ε
em,mechanics
m·t²·i⁻²·L_e⁻³·ε⁻²
m = k₀ · t⁻²·i²·L_e³·ε²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "2", "current": "-2", "inductance": "-3", "permittivity": "-2"}
5
current,inductance,mass,permeability,time
m·t·i·L_e·μ₀
em,mechanics
m·t⁻²·i⁻²·L_e·μ₀⁻²
m = k₀ · t²·i²·L_e⁻¹·μ₀²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "current": "-2", "inductance": "1", "permeability": "-2"}
6
amount,concentration,current,inductance,mass,time
m·t·i·L_e·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·i⁻⁶·L_e⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·i³·L_e³ᐟ²·c_n
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "time": "-6", "current": "-6", "inductance": "-3", "amount": "2", "concentration": "-2"}
6
concentration,current,inductance,mass,molar_mass,time
m·t·i·L_e·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁶·i⁻⁶·L_e⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·i⁻³·L_e⁻³ᐟ²·c_n⁻¹
null
0
3
6
24
20.3
-11.3
false
{"mass": "5", "time": "-6", "current": "-6", "inductance": "-3", "molar_mass": "-2", "concentration": "-2"}
6
concentration,current,inductance,mass,molar_energy,time
m·t·i·L_e·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁶·i⁻²·L_e⁻¹·c_n⁻²·E_m⁻²
L_e = k₀ · m³·t⁻⁶·i⁻²·c_n⁻²·E_m⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "current": "-2", "inductance": "-1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,current,gas_constant,inductance,mass,time
m·t·i·L_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·i⁻⁶·L_e⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³·i⁻³·L_e⁻³ᐟ²·R⁻¹·k_B
null
1
4
6
24
21.2
-12.7
false
{"mass": "3", "time": "-6", "current": "-6", "inductance": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,current,inductance,mass,time
m·t·i·L_e·c_n·z
chemistry,em,mechanics
m³·t⁻⁴·i⁻⁶·L_e⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·i⁻³·L_e⁻³ᐟ²·z
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-4", "current": "-6", "inductance": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,current,inductance,mass,time
m·t·i·L_e·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·i⁻⁶·L_e⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·i⁻³·L_e⁻³ᐟ²·N_A⁻¹
null
1
4
6
22
19.5
-11
false
{"mass": "3", "time": "-6", "current": "-6", "inductance": "-3", "concentration": "-2", "avogadro": "-2"}
6
current,illuminance,inductance,lum_intensity,mass,time
m·t·i·L_e·I_v·E_v
em,mechanics,photometry
m·t⁻²·i⁻²·L_e⁻¹·I_v·E_v⁻¹
m = k₀ · t²·i²·L_e·I_v⁻¹·E_v
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "current": "-2", "inductance": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
current,inductance,lum_intensity,luminance,mass,time
m·t·i·L_e·I_v·L_v
em,mechanics,photometry
m·t⁻²·i⁻²·L_e⁻¹·I_v·L_v⁻¹
m = k₀ · t²·i²·L_e·I_v⁻¹·L_v
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "current": "-2", "inductance": "-1", "lum_intensity": "1", "luminance": "-1"}
5
current,grav_const,inductance,mass,time
m·t·i·L_e·G
constants,em,mechanics
m⁵·t⁻²·i⁻⁶·L_e⁻³·G²
t = k₀ · m⁵ᐟ²·i⁻³·L_e⁻³ᐟ²·G
null
1
3
6
18
15.8
-6.8
false
{"mass": "5", "time": "-2", "current": "-6", "inductance": "-3", "grav_const": "2"}
5
current,efield,mag_flux,mass,time
m·t·i·E_f·Φ
em,mechanics
m·t⁻⁴·i⁻¹·E_f⁻²·Φ
m = k₀ · t⁴·i·E_f²·Φ⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "current": "-1", "efield": "-2", "mag_flux": "1"}
5
current,efield,mass,permittivity,time
m·t·i·E_f·ε
em,mechanics
m²·t⁻⁵·i⁻¹·E_f⁻³·ε⁻¹
i = k₀ · m²·t⁻⁵·E_f⁻³·ε⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "2", "time": "-5", "current": "-1", "efield": "-3", "permittivity": "-1"}
5
conductivity,current,efield,mass,time
m·t·i·E_f·σ
em,mechanics
m²·t⁻⁶·i⁻¹·E_f⁻³·σ⁻¹
i = k₀ · m²·t⁻⁶·E_f⁻³·σ⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "time": "-6", "current": "-1", "efield": "-3", "conductivity": "-1"}
5
current,efield,mass,resistivity,time
m·t·i·E_f·ρ_e
em,mechanics
m²·t⁻⁶·i⁻¹·E_f⁻³·ρ_e
i = k₀ · m²·t⁻⁶·E_f⁻³·ρ_e
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "time": "-6", "current": "-1", "efield": "-3", "resistivity": "1"}
6
amount,concentration,current,efield,mass,time
m·t·i·E_f·n·c_n
chemistry,em,mechanics
m³·t⁻⁹·i⁻³·E_f⁻³·n·c_n⁻¹
n = k₀ · m⁻³·t⁹·i³·E_f³·c_n
null
0
3
9
20
19
-10
false
{"mass": "3", "time": "-9", "current": "-3", "efield": "-3", "amount": "1", "concentration": "-1"}
6
amount,current,efield,mass,molar_energy,time
m·t·i·E_f·n·E_m
chemistry,em,mechanics
m·t⁻⁴·i⁻²·E_f⁻²·n·E_m
m = k₀ · t⁴·i²·E_f²·n⁻¹·E_m⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "current": "-2", "efield": "-2", "amount": "1", "molar_energy": "1"}
6
concentration,current,efield,mass,molar_mass,time
m·t·i·E_f·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻⁹·i⁻³·E_f⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁹·i⁻³·E_f⁻³·c_n⁻¹
null
0
3
9
21
19.7
-10.7
false
{"mass": "4", "time": "-9", "current": "-3", "efield": "-3", "molar_mass": "-1", "concentration": "-1"}
6
current,efield,mass,molar_energy,molar_mass,time
m·t·i·E_f·M_m·E_m
chemistry,em,mechanics
m²·t⁻⁴·i⁻²·E_f⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻⁴·i⁻²·E_f⁻²·E_m
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "current": "-2", "efield": "-2", "molar_mass": "-1", "molar_energy": "1"}
6
concentration,current,efield,mass,molar_energy,time
m·t·i·E_f·c_n·E_m
chemistry,em,mechanics
m²·t⁻⁵·i⁻¹·E_f⁻¹·c_n⁻¹·E_m⁻¹
i = k₀ · m²·t⁻⁵·E_f⁻¹·c_n⁻¹·E_m⁻¹
null
0
3
5
11
10.7
-1.7
false
{"mass": "2", "time": "-5", "current": "-1", "efield": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,current,efield,gas_constant,mass,time
m·t·i·E_f·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁹·i⁻³·E_f⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁹·i⁻³·E_f⁻³·R⁻¹·k_B
null
1
4
9
21
20.6
-12.1
false
{"mass": "3", "time": "-9", "current": "-3", "efield": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,current,efield,mass,time
m·t·i·E_f·c_n·z
chemistry,em,mechanics
m³·t⁻⁸·i⁻³·E_f⁻³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁸·i⁻³·E_f⁻³·z
null
0
3
8
19
17.8
-8.8
false
{"mass": "3", "time": "-8", "current": "-3", "efield": "-3", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,current,efield,mass,time
m·t·i·E_f·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁹·i⁻³·E_f⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁹·i⁻³·E_f⁻³·N_A⁻¹
null
1
4
9
20
19.6
-11.1
false
{"mass": "3", "time": "-9", "current": "-3", "efield": "-3", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,current,efield,gas_constant,mass,molar_energy,time
m·t·i·E_f·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·i⁻²·E_f⁻²·E_m·R⁻¹·k_B
m = k₀ · t⁴·i²·E_f²·E_m⁻¹·R·k_B⁻¹
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "-4", "current": "-2", "efield": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,current,efield,mass,molar_energy,time
m·t·i·E_f·E_m·z
chemistry,em,mechanics
m·t⁻³·i⁻²·E_f⁻²·E_m·z
m = k₀ · t³·i²·E_f²·E_m⁻¹·z⁻¹
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "current": "-2", "efield": "-2", "molar_energy": "1", "cat_activity": "1"}
6
avogadro,current,efield,mass,molar_energy,time
m·t·i·E_f·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·i⁻²·E_f⁻²·E_m·N_A⁻¹
m = k₀ · t⁴·i²·E_f²·E_m⁻¹·N_A
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "current": "-2", "efield": "-2", "molar_energy": "1", "avogadro": "-1"}
6
current,efield,illuminance,lum_intensity,mass,time
m·t·i·E_f·I_v·E_v
em,mechanics,photometry
m²·t⁻⁶·i⁻²·E_f⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁶·i²·E_f²·E_v
null
0
3
6
14
13.3
-4.3
false
{"mass": "2", "time": "-6", "current": "-2", "efield": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
current,efield,lum_intensity,luminance,mass,time
m·t·i·E_f·I_v·L_v
em,mechanics,photometry
m²·t⁻⁶·i⁻²·E_f⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁶·i²·E_f²·L_v
null
0
3
6
14
13.3
-4.3
false
{"mass": "2", "time": "-6", "current": "-2", "efield": "-2", "lum_intensity": "1", "luminance": "-1"}
5
current,efield,light_speed,mass,time
m·t·i·E_f·c₀
constants,em,mechanics
m·t⁻²·i⁻¹·E_f⁻¹·c₀
m = k₀ · t²·i·E_f·c₀⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "current": "-1", "efield": "-1", "light_speed": "1"}
5
current,efield,grav_const,mass,time
m·t·i·E_f·G
constants,em,mechanics
m⁴·t⁻⁷·i⁻³·E_f⁻³·G
G = k₀ · m⁻⁴·t⁷·i³·E_f³
null
1
3
7
18
16.3
-7.3
false
{"mass": "4", "time": "-7", "current": "-3", "efield": "-3", "grav_const": "1"}
5
current,efield,mass,planck,time
m·t·i·E_f·h
constants,em,mechanics
m·t⁻⁵·i⁻²·E_f⁻²·h
m = k₀ · t⁵·i²·E_f²·h⁻¹
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "time": "-5", "current": "-2", "efield": "-2", "planck": "1"}
4
bfield,current,mass,time
m·t·i·B
em,mechanics
m·t⁻²·i⁻¹·B⁻¹
m = k₀ · t²·i·B
null
0
2
2
5
3.8
5.7
true
{"mass": "1", "time": "-2", "current": "-1", "bfield": "-1"}
5
current,mag_flux,mass,permittivity,time
m·t·i·Φ·ε
em,mechanics
m·t²·i·Φ⁻³·ε⁻²
m = k₀ · t⁻²·i⁻¹·Φ³·ε²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "current": "1", "mag_flux": "-3", "permittivity": "-2"}
5
current,mag_flux,mass,permeability,time
m·t·i·Φ·μ₀
em,mechanics
m·t⁻²·i⁻³·Φ·μ₀⁻²
m = k₀ · t²·i³·Φ⁻¹·μ₀²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-2", "current": "-3", "mag_flux": "1", "permeability": "-2"}
6
amount,concentration,current,mag_flux,mass,time
m·t·i·Φ·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·i⁻³·Φ⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·i³ᐟ²·Φ³ᐟ²·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-6", "current": "-3", "mag_flux": "-3", "amount": "2", "concentration": "-2"}
6
concentration,current,mag_flux,mass,molar_mass,time
m·t·i·Φ·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁶·i⁻³·Φ⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·i⁻³ᐟ²·Φ⁻³ᐟ²·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "5", "time": "-6", "current": "-3", "mag_flux": "-3", "molar_mass": "-2", "concentration": "-2"}
6
concentration,current,mag_flux,mass,molar_energy,time
m·t·i·Φ·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁶·i⁻¹·Φ⁻¹·c_n⁻²·E_m⁻²
i = k₀ · m³·t⁻⁶·Φ⁻¹·c_n⁻²·E_m⁻²
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "current": "-1", "mag_flux": "-1", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,current,gas_constant,mag_flux,mass,time
m·t·i·Φ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·i⁻³·Φ⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³·i⁻³ᐟ²·Φ⁻³ᐟ²·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "time": "-6", "current": "-3", "mag_flux": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,current,mag_flux,mass,time
m·t·i·Φ·c_n·z
chemistry,em,mechanics
m³·t⁻⁴·i⁻³·Φ⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·i⁻³ᐟ²·Φ⁻³ᐟ²·z
null
0
3
4
17
14.4
-5.4
false
{"mass": "3", "time": "-4", "current": "-3", "mag_flux": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,current,mag_flux,mass,time
m·t·i·Φ·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·i⁻³·Φ⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·i⁻³ᐟ²·Φ⁻³ᐟ²·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-6", "current": "-3", "mag_flux": "-3", "concentration": "-2", "avogadro": "-2"}
6
current,illuminance,lum_intensity,mag_flux,mass,time
m·t·i·Φ·I_v·E_v
em,mechanics,photometry
m·t⁻²·i⁻¹·Φ⁻¹·I_v·E_v⁻¹
m = k₀ · t²·i·Φ·I_v⁻¹·E_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "current": "-1", "mag_flux": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
current,lum_intensity,luminance,mag_flux,mass,time
m·t·i·Φ·I_v·L_v
em,mechanics,photometry
m·t⁻²·i⁻¹·Φ⁻¹·I_v·L_v⁻¹
m = k₀ · t²·i·Φ·I_v⁻¹·L_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "current": "-1", "mag_flux": "-1", "lum_intensity": "1", "luminance": "-1"}
5
current,grav_const,mag_flux,mass,time
m·t·i·Φ·G
constants,em,mechanics
m⁵·t⁻²·i⁻³·Φ⁻³·G²
t = k₀ · m⁵ᐟ²·i⁻³ᐟ²·Φ⁻³ᐟ²·G
null
1
3
5
15
13.2
-4.2
false
{"mass": "5", "time": "-2", "current": "-3", "mag_flux": "-3", "grav_const": "2"}
5
current,mass,permeability,permittivity,time
m·t·i·ε·μ₀
em,mechanics
m²·t⁻²·i⁻⁴·ε⁻¹·μ₀⁻³
ε = k₀ · m²·t⁻²·i⁻⁴·μ₀⁻³
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-2", "current": "-4", "permittivity": "-1", "permeability": "-3"}
6
amount,concentration,current,mass,permittivity,time
m·t·i·ε·n·c_n
chemistry,em,mechanics
m·t⁻⁴·i⁻²·ε·n·c_n⁻¹
m = k₀ · t⁴·i²·ε⁻¹·n⁻¹·c_n
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "current": "-2", "permittivity": "1", "amount": "1", "concentration": "-1"}
6
amount,current,mass,molar_energy,permittivity,time
m·t·i·ε·n·E_m
chemistry,em,mechanics
m·t²·i⁴·ε⁻²·n⁻³·E_m⁻³
m = k₀ · t⁻²·i⁻⁴·ε²·n³·E_m³
null
0
3
4
15
13
-4
false
{"mass": "1", "time": "2", "current": "4", "permittivity": "-2", "amount": "-3", "molar_energy": "-3"}
6
concentration,current,mass,molar_mass,permittivity,time
m·t·i·ε·M_m·c_n
chemistry,em,mechanics
m²·t⁻⁴·i⁻²·ε·M_m⁻¹·c_n⁻¹
ε = k₀ · m⁻²·t⁴·i²·M_m·c_n
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "current": "-2", "permittivity": "1", "molar_mass": "-1", "concentration": "-1"}
6
current,mass,molar_energy,molar_mass,permittivity,time
m·t·i·ε·M_m·E_m
chemistry,em,mechanics
m²·t⁻²·i⁻⁴·ε²·M_m⁻³·E_m³
m = k₀ · t·i²·ε⁻¹·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "current": "-4", "permittivity": "2", "molar_mass": "-3", "molar_energy": "3"}
6
concentration,current,mass,molar_energy,permittivity,time
m·t·i·ε·c_n·E_m
chemistry,em,mechanics
m⁴·t⁻¹⁰·i⁻²·ε·c_n⁻³·E_m⁻³
ε = k₀ · m⁻⁴·t¹⁰·i²·c_n³·E_m³
null
0
3
10
23
21.6
-12.6
false
{"mass": "4", "time": "-10", "current": "-2", "permittivity": "1", "concentration": "-3", "molar_energy": "-3"}
7
boltzmann,concentration,current,gas_constant,mass,permittivity,time
m·t·i·ε·c_n·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·i⁻²·ε·c_n⁻¹·R⁻¹·k_B
m = k₀ · t⁴·i²·ε⁻¹·c_n·R·k_B⁻¹
null
1
4
4
11
11.1
-2.6
false
{"mass": "1", "time": "-4", "current": "-2", "permittivity": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,current,mass,permittivity,time
m·t·i·ε·c_n·z
chemistry,em,mechanics
m·t⁻³·i⁻²·ε·c_n⁻¹·z
m = k₀ · t³·i²·ε⁻¹·c_n·z⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "current": "-2", "permittivity": "1", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,current,mass,permittivity,time
m·t·i·ε·c_n·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·i⁻²·ε·c_n⁻¹·N_A⁻¹
m = k₀ · t⁴·i²·ε⁻¹·c_n·N_A
null
1
4
4
10
10.1
-1.6
false
{"mass": "1", "time": "-4", "current": "-2", "permittivity": "1", "concentration": "-1", "avogadro": "-1"}
7
boltzmann,current,gas_constant,mass,molar_energy,permittivity,time
m·t·i·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m·t²·i⁴·ε⁻²·E_m⁻³·R³·k_B⁻³
m = k₀ · t⁻²·i⁻⁴·ε²·E_m³·R⁻³·k_B³
null
1
4
4
18
16
-7.5
false
{"mass": "1", "time": "2", "current": "4", "permittivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
6
cat_activity,current,mass,molar_energy,permittivity,time
m·t·i·ε·E_m·z
chemistry,em,mechanics
m·t⁻¹·i⁴·ε⁻²·E_m⁻³·z⁻³
m = k₀ · t·i⁻⁴·ε²·E_m³·z³
null
0
3
4
14
12.3
-3.3
false
{"mass": "1", "time": "-1", "current": "4", "permittivity": "-2", "molar_energy": "-3", "cat_activity": "-3"}
6
avogadro,current,mass,molar_energy,permittivity,time
m·t·i·ε·E_m·N_A
chemistry,constants,em,mechanics
m·t²·i⁴·ε⁻²·E_m⁻³·N_A³
m = k₀ · t⁻²·i⁻⁴·ε²·E_m³·N_A⁻³
null
1
4
4
15
13.6
-5.1
false
{"mass": "1", "time": "2", "current": "4", "permittivity": "-2", "molar_energy": "-3", "avogadro": "3"}
6
current,illuminance,lum_intensity,mass,permittivity,time
m·t·i·ε·I_v·E_v
em,mechanics,photometry
m²·t⁻⁸·i⁻⁴·ε²·I_v³·E_v⁻³
m = k₀ · t⁴·i²·ε⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
3
8
22
19.9
-10.9
false
{"mass": "2", "time": "-8", "current": "-4", "permittivity": "2", "lum_intensity": "3", "illuminance": "-3"}
6
current,lum_intensity,luminance,mass,permittivity,time
m·t·i·ε·I_v·L_v
em,mechanics,photometry
m²·t⁻⁸·i⁻⁴·ε²·I_v³·L_v⁻³
m = k₀ · t⁴·i²·ε⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
3
8
22
19.9
-10.9
false
{"mass": "2", "time": "-8", "current": "-4", "permittivity": "2", "lum_intensity": "3", "luminance": "-3"}
5
current,light_speed,mass,permittivity,time
m·t·i·ε·c₀
constants,em,mechanics
m·t⁻¹·i⁻²·ε·c₀³
m = k₀ · t·i²·ε⁻¹·c₀⁻³
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-1", "current": "-2", "permittivity": "1", "light_speed": "3"}
5
current,grav_const,mass,permittivity,time
m·t·i·ε·G
constants,em,mechanics
m²·t⁻²·i⁻²·ε·G
ε = k₀ · m⁻²·t²·i²·G⁻¹
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "time": "-2", "current": "-2", "permittivity": "1", "grav_const": "1"}
5
current,mass,permittivity,planck,time
m·t·i·ε·h
constants,em,mechanics
m·t⁵·i⁴·ε⁻²·h⁻³
m = k₀ · t⁻⁵·i⁻⁴·ε²·h³
null
1
3
5
15
13.2
-4.2
false
{"mass": "1", "time": "5", "current": "4", "permittivity": "-2", "planck": "-3"}
5
conductivity,current,mass,permeability,time
m·t·i·μ₀·σ
em,mechanics
m²·t⁻³·i⁻⁴·μ₀⁻³·σ⁻¹
σ = k₀ · m²·t⁻³·i⁻⁴·μ₀⁻³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-3", "current": "-4", "permeability": "-3", "conductivity": "-1"}
5
current,mass,permeability,resistivity,time
m·t·i·μ₀·ρ_e
em,mechanics
m²·t⁻³·i⁻⁴·μ₀⁻³·ρ_e
ρ_e = k₀ · m⁻²·t³·i⁴·μ₀³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "time": "-3", "current": "-4", "permeability": "-3", "resistivity": "1"}
6
amount,concentration,current,mass,permeability,time
m·t·i·μ₀·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·i⁻⁶·μ₀⁻³·n·c_n⁻¹
n = k₀ · m⁻³·t⁶·i⁶·μ₀³·c_n
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "current": "-6", "permeability": "-3", "amount": "1", "concentration": "-1"}
6
amount,current,mass,molar_energy,permeability,time
m·t·i·μ₀·n·E_m
chemistry,em,mechanics
m·t⁻²·i⁻⁴·μ₀⁻²·n·E_m
m = k₀ · t²·i⁴·μ₀²·n⁻¹·E_m⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-2", "current": "-4", "permeability": "-2", "amount": "1", "molar_energy": "1"}
6
concentration,current,mass,molar_mass,permeability,time
m·t·i·μ₀·M_m·c_n
chemistry,em,mechanics
m⁴·t⁻⁶·i⁻⁶·μ₀⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁶·i⁻⁶·μ₀⁻³·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "4", "time": "-6", "current": "-6", "permeability": "-3", "molar_mass": "-1", "concentration": "-1"}