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
7
concentration,conductivity,expansion,gas_constant,mass,permeability,velocity
m·v·β·μ₀·σ·c_n·R
chemistry,em,mechanics,thermo
m·v⁵·β·μ₀³·σ³·c_n⁻¹·R⁻¹
m = k₀ · v⁻⁵·β⁻¹·μ₀⁻³·σ⁻³·c_n·R
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "velocity": "5", "expansion": "1", "permeability": "3", "conductivity": "3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,conductivity,expansion,gas_constant,mass,permeability,velocity
m·v·β·μ₀·σ·R·z
chemistry,em,mechanics,thermo
m·v⁴·β·μ₀·σ·R⁻¹·z⁻¹
m = k₀ · v⁻⁴·β⁻¹·μ₀⁻¹·σ⁻¹·R·z
null
0
4
4
10
10.4
-1.9
false
{"mass": "1", "velocity": "4", "expansion": "1", "permeability": "1", "conductivity": "1", "gas_constant": "-1", "cat_activity": "-1"}
7
concentration,expansion,gas_constant,mass,permeability,resistivity,velocity
m·v·β·μ₀·ρ_e·c_n·R
chemistry,em,mechanics,thermo
m·v⁵·β·μ₀³·ρ_e⁻³·c_n⁻¹·R⁻¹
m = k₀ · v⁻⁵·β⁻¹·μ₀⁻³·ρ_e³·c_n·R
null
0
4
5
15
14.4
-5.9
false
{"mass": "1", "velocity": "5", "expansion": "1", "permeability": "3", "resistivity": "-3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,expansion,gas_constant,mass,permeability,resistivity,velocity
m·v·β·μ₀·ρ_e·R·z
chemistry,em,mechanics,thermo
m·v⁴·β·μ₀·ρ_e⁻¹·R⁻¹·z⁻¹
m = k₀ · v⁻⁴·β⁻¹·μ₀⁻¹·ρ_e·R·z
null
0
4
4
10
10.4
-1.9
false
{"mass": "1", "velocity": "4", "expansion": "1", "permeability": "1", "resistivity": "-1", "gas_constant": "-1", "cat_activity": "-1"}
7
concentration,elem_charge,expansion,gas_constant,mass,permeability,velocity
m·v·β·μ₀·c_n·R·e
chemistry,constants,em,mechanics,thermo
m⁴·v²·β·μ₀⁻³·c_n⁻¹·R⁻¹·e⁻⁶
β = k₀ · m⁻⁴·v⁻²·μ₀³·c_n·R·e⁶
null
1
5
6
18
17.6
-9.6
false
{"mass": "4", "velocity": "2", "expansion": "1", "permeability": "-3", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-6"}
7
cat_activity,elem_charge,expansion,gas_constant,mass,permeability,velocity
m·v·β·μ₀·R·z·e
chemistry,constants,em,mechanics,thermo
m²·v³·β·μ₀⁻¹·R⁻¹·z⁻¹·e⁻²
β = k₀ · m⁻²·v⁻³·μ₀·R·z·e²
null
1
5
3
11
11.2
-3.2
false
{"mass": "2", "velocity": "3", "expansion": "1", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-2"}
7
concentration,conductivity,elem_charge,expansion,gas_constant,mass,velocity
m·v·β·σ·c_n·R·e
chemistry,constants,em,mechanics,thermo
m⁵·v⁷·β²·σ³·c_n⁻²·R⁻²·e⁻⁶
β = k₀ · m⁻⁵ᐟ²·v⁻⁷ᐟ²·σ⁻³ᐟ²·c_n·R·e³
null
1
5
7
27
24.4
-16.4
false
{"mass": "5", "velocity": "7", "expansion": "2", "conductivity": "3", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-6"}
7
cat_activity,conductivity,elem_charge,expansion,gas_constant,mass,velocity
m·v·β·σ·R·z·e
chemistry,constants,em,mechanics,thermo
m³·v⁷·β²·σ·R⁻²·z⁻²·e⁻²
σ = k₀ · m⁻³·v⁻⁷·β⁻²·R²·z²·e²
null
1
5
7
19
18.8
-10.8
false
{"mass": "3", "velocity": "7", "expansion": "2", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2", "elem_charge": "-2"}
7
concentration,elem_charge,expansion,gas_constant,mass,resistivity,velocity
m·v·β·ρ_e·c_n·R·e
chemistry,constants,em,mechanics,thermo
m⁵·v⁷·β²·ρ_e⁻³·c_n⁻²·R⁻²·e⁻⁶
β = k₀ · m⁻⁵ᐟ²·v⁻⁷ᐟ²·ρ_e³ᐟ²·c_n·R·e³
null
1
5
7
27
24.4
-16.4
false
{"mass": "5", "velocity": "7", "expansion": "2", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-6"}
7
cat_activity,elem_charge,expansion,gas_constant,mass,resistivity,velocity
m·v·β·ρ_e·R·z·e
chemistry,constants,em,mechanics,thermo
m³·v⁷·β²·ρ_e⁻¹·R⁻²·z⁻²·e⁻²
ρ_e = k₀ · m³·v⁷·β²·R⁻²·z⁻²·e⁻²
null
1
5
7
19
18.8
-10.8
false
{"mass": "3", "velocity": "7", "expansion": "2", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2", "elem_charge": "-2"}
5
amount,expansion,gas_constant,mass,velocity
m·v·β·n·R
chemistry,mechanics,thermo
m·v²·β·n⁻¹·R⁻¹
m = k₀ · v⁻²·β⁻¹·n·R
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
cat_activity,concentration,expansion,gas_constant,mass,velocity
m·v·β·c_n·R·z
chemistry,mechanics,thermo
m²·v⁷·β²·c_n·R⁻²·z⁻³
c_n = k₀ · m⁻²·v⁻⁷·β⁻²·R²·z³
null
0
3
7
17
15.9
-6.9
false
{"mass": "2", "velocity": "7", "expansion": "2", "concentration": "1", "gas_constant": "-2", "cat_activity": "-3"}
7
concentration,expansion,gas_constant,illuminance,lum_intensity,mass,velocity
m·v·β·c_n·R·I_v·E_v
chemistry,mechanics,photometry,thermo
m²·v⁴·β²·c_n⁻²·R⁻²·I_v⁻³·E_v³
m = k₀ · v⁻²·β⁻¹·c_n·R·I_v³ᐟ²·E_v⁻³ᐟ²
null
0
4
4
18
16
-7.5
false
{"mass": "2", "velocity": "4", "expansion": "2", "concentration": "-2", "gas_constant": "-2", "lum_intensity": "-3", "illuminance": "3"}
7
concentration,expansion,gas_constant,lum_intensity,luminance,mass,velocity
m·v·β·c_n·R·I_v·L_v
chemistry,mechanics,photometry,thermo
m²·v⁴·β²·c_n⁻²·R⁻²·I_v⁻³·L_v³
m = k₀ · v⁻²·β⁻¹·c_n·R·I_v³ᐟ²·L_v⁻³ᐟ²
null
0
4
4
18
16
-7.5
false
{"mass": "2", "velocity": "4", "expansion": "2", "concentration": "-2", "gas_constant": "-2", "lum_intensity": "-3", "luminance": "3"}
6
concentration,expansion,gas_constant,grav_const,mass,velocity
m·v·β·c_n·R·G
chemistry,constants,mechanics,thermo
m²·v⁻⁸·β⁻¹·c_n·R·G³
β = k₀ · m²·v⁻⁸·c_n·R·G³
null
1
4
8
16
16.3
-7.8
false
{"mass": "2", "velocity": "-8", "expansion": "-1", "concentration": "1", "gas_constant": "1", "grav_const": "3"}
6
concentration,expansion,gas_constant,mass,planck,velocity
m·v·β·c_n·R·h
chemistry,constants,mechanics,thermo
m⁴·v⁵·β·c_n⁻¹·R⁻¹·h⁻³
β = k₀ · m⁻⁴·v⁻⁵·c_n·R·h³
null
1
4
5
15
14.1
-5.6
false
{"mass": "4", "velocity": "5", "expansion": "1", "concentration": "-1", "gas_constant": "-1", "planck": "-3"}
7
cat_activity,expansion,gas_constant,illuminance,lum_intensity,mass,velocity
m·v·β·R·z·I_v·E_v
chemistry,mechanics,photometry,thermo
m²·v⁶·β²·R⁻²·z⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁶·β²·R⁻²·z⁻²·E_v
null
0
4
6
16
15.6
-7.1
false
{"mass": "2", "velocity": "6", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2", "lum_intensity": "-1", "illuminance": "1"}
7
cat_activity,expansion,gas_constant,lum_intensity,luminance,mass,velocity
m·v·β·R·z·I_v·L_v
chemistry,mechanics,photometry,thermo
m²·v⁶·β²·R⁻²·z⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁶·β²·R⁻²·z⁻²·L_v
null
0
4
6
16
15.6
-7.1
false
{"mass": "2", "velocity": "6", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2", "lum_intensity": "-1", "luminance": "1"}
6
cat_activity,expansion,gas_constant,mass,planck,velocity
m·v·β·R·z·h
chemistry,constants,mechanics,thermo
m²·v⁴·β·R⁻¹·z⁻¹·h⁻¹
β = k₀ · m⁻²·v⁻⁴·R·z·h
null
1
4
4
10
10.1
-1.6
false
{"mass": "2", "velocity": "4", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1", "planck": "-1"}
5
avogadro,expansion,gas_constant,mass,velocity
m·v·β·R·N_A
chemistry,constants,mechanics,thermo
m·v²·β·R⁻¹·N_A
m = k₀ · v⁻²·β⁻¹·R·N_A⁻¹
null
1
4
2
6
6
2.5
false
{"mass": "1", "velocity": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
4
boltzmann,expansion,mass,velocity
m·v·β·k_B
constants,mechanics,thermo
m·v²·β·k_B⁻¹
m = k₀ · v⁻²·β⁻¹·k_B
null
1
3
2
5
4.4
4.6
false
{"mass": "1", "velocity": "2", "expansion": "1", "boltzmann": "-1"}
5
charge,current,mass,resistance,velocity
m·v·q·i·R
em,mechanics
m·v²·q⁻¹·i⁻¹·R⁻¹
m = k₀ · v⁻²·q·i·R
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "charge": "-1", "current": "-1", "resistance": "-1"}
5
charge,current,efield,mass,velocity
m·v·q·i·E_f
em,mechanics
m·v·q⁻²·i·E_f⁻¹
m = k₀ · v⁻¹·q²·i⁻¹·E_f
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "charge": "-2", "current": "1", "efield": "-1"}
5
charge,current,mass,permittivity,velocity
m·v·q·i·ε
em,mechanics
m·v³·q⁻¹·i⁻¹·ε
m = k₀ · v⁻³·q·i·ε⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "charge": "-1", "current": "-1", "permittivity": "1"}
5
charge,current,mass,permeability,velocity
m·v·q·i·μ₀
em,mechanics
m·v·q⁻¹·i⁻¹·μ₀⁻¹
m = k₀ · v⁻¹·q·i·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "charge": "-1", "current": "-1", "permeability": "-1"}
6
charge,concentration,current,mass,molar_mass,velocity
m·v·q·i·M_m·c_n
chemistry,em,mechanics
m·v⁻³·q⁻³·i³·M_m⁻¹·c_n⁻¹
m = k₀ · v³·q³·i⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-3", "charge": "-3", "current": "3", "molar_mass": "-1", "concentration": "-1"}
6
charge,concentration,current,mass,molar_energy,velocity
m·v·q·i·c_n·E_m
chemistry,em,mechanics
m·v⁻¹·q⁻³·i³·c_n⁻¹·E_m⁻¹
m = k₀ · v·q³·i⁻³·c_n·E_m
null
0
3
3
10
9
0
false
{"mass": "1", "velocity": "-1", "charge": "-3", "current": "3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,charge,current,mass,molar_energy,velocity
m·v·q·i·E_m·z
chemistry,em,mechanics
m·v²·q⁻¹·i·E_m⁻¹·z⁻¹
m = k₀ · v⁻²·q·i⁻¹·E_m·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "charge": "-1", "current": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
charge,current,grav_const,mass,velocity
m·v·q·i·G
constants,em,mechanics
m·v⁻³·q⁻¹·i·G
m = k₀ · v³·q·i⁻¹·G⁻¹
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "-3", "charge": "-1", "current": "1", "grav_const": "1"}
5
charge,current,mass,planck,velocity
m·v·q·i·h
constants,em,mechanics
m·v²·q·i⁻¹·h⁻¹
m = k₀ · v⁻²·q⁻¹·i·h
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "charge": "1", "current": "-1", "planck": "-1"}
4
charge,mass,velocity,voltage
m·v·q·U
em,mechanics
m·v²·q⁻¹·U⁻¹
m = k₀ · v⁻²·q·U
null
0
2
2
5
3.8
5.7
true
{"mass": "1", "velocity": "2", "charge": "-1", "voltage": "-1"}
5
charge,inductance,mass,resistance,velocity
m·v·q·R·L_e
em,mechanics
m·v²·q⁻²·R⁻²·L_e
m = k₀ · v⁻²·q²·R²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "charge": "-2", "resistance": "-2", "inductance": "1"}
5
charge,efield,mass,resistance,velocity
m·v·q·R·E_f
em,mechanics
m²·v³·q⁻³·R⁻¹·E_f⁻¹
R = k₀ · m²·v³·q⁻³·E_f⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "3", "charge": "-3", "resistance": "-1", "efield": "-1"}
5
bfield,charge,mass,resistance,velocity
m·v·q·R·B
em,mechanics
m²·v²·q⁻³·R⁻¹·B⁻¹
R = k₀ · m²·v²·q⁻³·B⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "2", "charge": "-3", "resistance": "-1", "bfield": "-1"}
5
charge,conductivity,mass,resistance,velocity
m·v·q·R·σ
em,mechanics
m·v·q⁻²·R⁻²·σ⁻¹
m = k₀ · v⁻¹·q²·R²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "charge": "-2", "resistance": "-2", "conductivity": "-1"}
5
charge,mass,resistance,resistivity,velocity
m·v·q·R·ρ_e
em,mechanics
m·v·q⁻²·R⁻²·ρ_e
m = k₀ · v⁻¹·q²·R²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "charge": "-2", "resistance": "-2", "resistivity": "1"}
6
amount,charge,concentration,mass,resistance,velocity
m·v·q·R·n·c_n
chemistry,em,mechanics
m³·v³·q⁻⁶·R⁻³·n·c_n⁻¹
n = k₀ · m⁻³·v⁻³·q⁶·R³·c_n
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "velocity": "3", "charge": "-6", "resistance": "-3", "amount": "1", "concentration": "-1"}
6
amount,cat_activity,charge,mass,resistance,velocity
m·v·q·R·n·z
chemistry,em,mechanics
m·v²·q⁻²·R⁻¹·n·z⁻¹
m = k₀ · v⁻²·q²·R·n⁻¹·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "2", "charge": "-2", "resistance": "-1", "amount": "1", "cat_activity": "-1"}
6
charge,concentration,mass,molar_mass,resistance,velocity
m·v·q·R·M_m·c_n
chemistry,em,mechanics
m⁴·v³·q⁻⁶·R⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·v³·q⁻⁶·R⁻³·c_n⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "4", "velocity": "3", "charge": "-6", "resistance": "-3", "molar_mass": "-1", "concentration": "-1"}
6
cat_activity,charge,mass,molar_mass,resistance,velocity
m·v·q·R·M_m·z
chemistry,em,mechanics
m²·v²·q⁻²·R⁻¹·M_m⁻¹·z⁻¹
R = k₀ · m²·v²·q⁻²·M_m⁻¹·z⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "velocity": "2", "charge": "-2", "resistance": "-1", "molar_mass": "-1", "cat_activity": "-1"}
6
charge,concentration,mass,molar_energy,resistance,velocity
m·v·q·R·c_n·E_m
chemistry,em,mechanics
m⁴·v⁵·q⁻⁶·R⁻³·c_n⁻¹·E_m⁻¹
c_n = k₀ · m⁴·v⁵·q⁻⁶·R⁻³·E_m⁻¹
null
0
3
6
20
17.5
-8.5
false
{"mass": "4", "velocity": "5", "charge": "-6", "resistance": "-3", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,charge,concentration,gas_constant,mass,resistance,velocity
m·v·q·R·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v³·q⁻⁶·R⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·v³·q⁻⁶·R⁻³·R⁻¹·k_B
null
1
4
6
18
17
-8.5
false
{"mass": "3", "velocity": "3", "charge": "-6", "resistance": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,charge,concentration,mass,resistance,velocity
m·v·q·R·c_n·z
chemistry,em,mechanics
m²·v·q⁻⁴·R⁻²·c_n⁻¹·z
v = k₀ · m⁻²·q⁴·R²·c_n·z⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "1", "charge": "-4", "resistance": "-2", "concentration": "-1", "cat_activity": "1"}
6
avogadro,charge,concentration,mass,resistance,velocity
m·v·q·R·c_n·N_A
chemistry,constants,em,mechanics
m³·v³·q⁻⁶·R⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·v³·q⁻⁶·R⁻³·N_A⁻¹
null
1
4
6
17
16
-7.5
false
{"mass": "3", "velocity": "3", "charge": "-6", "resistance": "-3", "concentration": "-1", "avogadro": "-1"}
6
cat_activity,charge,mass,molar_energy,resistance,velocity
m·v·q·R·E_m·z
chemistry,em,mechanics
m²·v⁴·q⁻²·R⁻¹·E_m⁻¹·z⁻¹
R = k₀ · m²·v⁴·q⁻²·E_m⁻¹·z⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "4", "charge": "-2", "resistance": "-1", "molar_energy": "-1", "cat_activity": "-1"}
7
boltzmann,cat_activity,charge,gas_constant,mass,resistance,velocity
m·v·q·R·R·z·k_B
chemistry,constants,em,mechanics
m·v²·q⁻²·R⁻¹·R⁻¹·z⁻¹·k_B
m = k₀ · v⁻²·q²·R·R·z·k_B⁻¹
null
1
4
2
9
8.7
-0.2
false
{"mass": "1", "velocity": "2", "charge": "-2", "resistance": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"}
6
avogadro,cat_activity,charge,mass,resistance,velocity
m·v·q·R·z·N_A
chemistry,constants,em,mechanics
m·v²·q⁻²·R⁻¹·z⁻¹·N_A⁻¹
m = k₀ · v⁻²·q²·R·z·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "velocity": "2", "charge": "-2", "resistance": "-1", "cat_activity": "-1", "avogadro": "-1"}
6
charge,illuminance,lum_intensity,mass,resistance,velocity
m·v·q·R·I_v·E_v
em,mechanics,photometry
m²·v²·q⁻⁴·R⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·v⁻²·q⁴·R²·E_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "2", "charge": "-4", "resistance": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
charge,lum_intensity,luminance,mass,resistance,velocity
m·v·q·R·I_v·L_v
em,mechanics,photometry
m²·v²·q⁻⁴·R⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·v⁻²·q⁴·R²·L_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "2", "charge": "-4", "resistance": "-2", "lum_intensity": "1", "luminance": "-1"}
5
charge,grav_const,mass,resistance,velocity
m·v·q·R·G
constants,em,mechanics
m²·v⁻¹·q⁻²·R⁻¹·G
v = k₀ · m²·q⁻²·R⁻¹·G
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "velocity": "-1", "charge": "-2", "resistance": "-1", "grav_const": "1"}
4
capacitance,charge,mass,velocity
m·v·q·C_e
em,mechanics
m·v²·q⁻²·C_e
m = k₀ · v⁻²·q²·C_e⁻¹
null
0
2
2
6
4.5
5
true
{"mass": "1", "velocity": "2", "charge": "-2", "capacitance": "1"}
5
charge,efield,inductance,mass,velocity
m·v·q·L_e·E_f
em,mechanics
m³·v⁴·q⁻⁴·L_e⁻¹·E_f⁻²
L_e = k₀ · m³·v⁴·q⁻⁴·E_f⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "charge": "-4", "inductance": "-1", "efield": "-2"}
5
bfield,charge,inductance,mass,velocity
m·v·q·L_e·B
em,mechanics
m³·v²·q⁻⁴·L_e⁻¹·B⁻²
L_e = k₀ · m³·v²·q⁻⁴·B⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "2", "charge": "-4", "inductance": "-1", "bfield": "-2"}
5
charge,inductance,mass,permittivity,velocity
m·v·q·L_e·ε
em,mechanics
m·v⁴·q⁻²·L_e·ε²
m = k₀ · v⁻⁴·q²·L_e⁻¹·ε⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "charge": "-2", "inductance": "1", "permittivity": "2"}
6
amount,cat_activity,charge,inductance,mass,velocity
m·v·q·L_e·n·z
chemistry,em,mechanics
m·v²·q⁻²·L_e⁻¹·n²·z⁻²
m = k₀ · v⁻²·q²·L_e·n⁻²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "charge": "-2", "inductance": "-1", "amount": "2", "cat_activity": "-2"}
6
cat_activity,charge,inductance,mass,molar_mass,velocity
m·v·q·L_e·M_m·z
chemistry,em,mechanics
m³·v²·q⁻²·L_e⁻¹·M_m⁻²·z⁻²
L_e = k₀ · m³·v²·q⁻²·M_m⁻²·z⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "velocity": "2", "charge": "-2", "inductance": "-1", "molar_mass": "-2", "cat_activity": "-2"}
6
charge,concentration,inductance,mass,molar_energy,velocity
m·v·q·L_e·c_n·E_m
chemistry,em,mechanics
m⁵·v⁴·q⁻⁶·L_e⁻³·c_n⁻²·E_m⁻²
c_n = k₀ · m⁵ᐟ²·v²·q⁻³·L_e⁻³ᐟ²·E_m⁻¹
null
0
3
6
22
18.9
-9.9
false
{"mass": "5", "velocity": "4", "charge": "-6", "inductance": "-3", "concentration": "-2", "molar_energy": "-2"}
6
cat_activity,charge,concentration,inductance,mass,velocity
m·v·q·L_e·c_n·z
chemistry,em,mechanics
m·v⁻¹·q⁻²·L_e⁻¹·c_n⁻¹·z
m = k₀ · v·q²·L_e·c_n·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "-1", "charge": "-2", "inductance": "-1", "concentration": "-1", "cat_activity": "1"}
6
cat_activity,charge,inductance,mass,molar_energy,velocity
m·v·q·L_e·E_m·z
chemistry,em,mechanics
m³·v⁶·q⁻²·L_e⁻¹·E_m⁻²·z⁻²
L_e = k₀ · m³·v⁶·q⁻²·E_m⁻²·z⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "velocity": "6", "charge": "-2", "inductance": "-1", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,cat_activity,charge,gas_constant,inductance,mass,velocity
m·v·q·L_e·R·z·k_B
chemistry,constants,em,mechanics
m·v²·q⁻²·L_e⁻¹·R⁻²·z⁻²·k_B²
m = k₀ · v⁻²·q²·L_e·R²·z²·k_B⁻²
null
1
4
2
12
10.8
-2.3
false
{"mass": "1", "velocity": "2", "charge": "-2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
6
avogadro,cat_activity,charge,inductance,mass,velocity
m·v·q·L_e·z·N_A
chemistry,constants,em,mechanics
m·v²·q⁻²·L_e⁻¹·z⁻²·N_A⁻²
m = k₀ · v⁻²·q²·L_e·z²·N_A²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "velocity": "2", "charge": "-2", "inductance": "-1", "cat_activity": "-2", "avogadro": "-2"}
5
charge,grav_const,inductance,mass,velocity
m·v·q·L_e·G
constants,em,mechanics
m³·v⁻⁴·q⁻²·L_e⁻¹·G²
L_e = k₀ · m³·v⁻⁴·q⁻²·G²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "-4", "charge": "-2", "inductance": "-1", "grav_const": "2"}
5
charge,inductance,mass,planck,velocity
m·v·q·L_e·h
constants,em,mechanics
m·v²·q²·L_e·h⁻²
m = k₀ · v⁻²·q⁻²·L_e⁻¹·h²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "charge": "2", "inductance": "1", "planck": "-2"}
5
charge,efield,mag_flux,mass,velocity
m·v·q·E_f·Φ
em,mechanics
m²·v³·q⁻²·E_f⁻¹·Φ⁻¹
E_f = k₀ · m²·v³·q⁻²·Φ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "charge": "-2", "efield": "-1", "mag_flux": "-1"}
5
charge,efield,mass,permittivity,velocity
m·v·q·E_f·ε
em,mechanics
m²·v⁴·q⁻³·E_f⁻¹·ε
E_f = k₀ · m²·v⁴·q⁻³·ε
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "velocity": "4", "charge": "-3", "efield": "-1", "permittivity": "1"}
5
charge,efield,mass,permeability,velocity
m·v·q·E_f·μ₀
em,mechanics
m²·v²·q⁻³·E_f⁻¹·μ₀⁻¹
E_f = k₀ · m²·v²·q⁻³·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "2", "charge": "-3", "efield": "-1", "permeability": "-1"}
5
charge,conductivity,efield,mass,velocity
m·v·q·E_f·σ
em,mechanics
m³·v⁵·q⁻⁴·E_f⁻²·σ
σ = k₀ · m⁻³·v⁻⁵·q⁴·E_f²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "velocity": "5", "charge": "-4", "efield": "-2", "conductivity": "1"}
5
charge,efield,mass,resistivity,velocity
m·v·q·E_f·ρ_e
em,mechanics
m³·v⁵·q⁻⁴·E_f⁻²·ρ_e⁻¹
ρ_e = k₀ · m³·v⁵·q⁻⁴·E_f⁻²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "velocity": "5", "charge": "-4", "efield": "-2", "resistivity": "-1"}
6
amount,charge,concentration,efield,mass,velocity
m·v·q·E_f·n·c_n
chemistry,em,mechanics
m³·v⁶·q⁻³·E_f⁻³·n⁻¹·c_n
n = k₀ · m³·v⁶·q⁻³·E_f⁻³·c_n
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "velocity": "6", "charge": "-3", "efield": "-3", "amount": "-1", "concentration": "1"}
6
amount,cat_activity,charge,efield,mass,velocity
m·v·q·E_f·n·z
chemistry,em,mechanics
m·v·q⁻¹·E_f⁻¹·n⁻¹·z
m = k₀ · v⁻¹·q·E_f·n·z⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "charge": "-1", "efield": "-1", "amount": "-1", "cat_activity": "1"}
6
charge,concentration,efield,mass,molar_mass,velocity
m·v·q·E_f·M_m·c_n
chemistry,em,mechanics
m²·v⁶·q⁻³·E_f⁻³·M_m·c_n
M_m = k₀ · m⁻²·v⁻⁶·q³·E_f³·c_n⁻¹
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "velocity": "6", "charge": "-3", "efield": "-3", "molar_mass": "1", "concentration": "1"}
6
charge,concentration,efield,mass,molar_energy,velocity
m·v·q·E_f·c_n·E_m
chemistry,em,mechanics
m²·v⁴·q⁻³·E_f⁻³·c_n·E_m
c_n = k₀ · m⁻²·v⁻⁴·q³·E_f³·E_m⁻¹
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "velocity": "4", "charge": "-3", "efield": "-3", "concentration": "1", "molar_energy": "1"}
7
boltzmann,charge,concentration,efield,gas_constant,mass,velocity
m·v·q·E_f·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁶·q⁻³·E_f⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻⁶·q³·E_f³·R⁻¹·k_B
null
1
4
6
18
17
-8.5
false
{"mass": "3", "velocity": "6", "charge": "-3", "efield": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,charge,concentration,efield,mass,velocity
m·v·q·E_f·c_n·z
chemistry,em,mechanics
m²·v⁵·q⁻²·E_f⁻²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻⁵·q²·E_f²·z
null
0
3
5
13
12.1
-3.1
false
{"mass": "2", "velocity": "5", "charge": "-2", "efield": "-2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,charge,concentration,efield,mass,velocity
m·v·q·E_f·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁶·q⁻³·E_f⁻³·c_n·N_A
c_n = k₀ · m⁻³·v⁻⁶·q³·E_f³·N_A⁻¹
null
1
4
6
17
16
-7.5
false
{"mass": "3", "velocity": "6", "charge": "-3", "efield": "-3", "concentration": "1", "avogadro": "1"}
7
boltzmann,cat_activity,charge,efield,gas_constant,mass,velocity
m·v·q·E_f·R·z·k_B
chemistry,constants,em,mechanics
m·v·q⁻¹·E_f⁻¹·R·z·k_B⁻¹
m = k₀ · v⁻¹·q·E_f·R⁻¹·z⁻¹·k_B
null
1
4
1
7
6.8
1.7
false
{"mass": "1", "velocity": "1", "charge": "-1", "efield": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
6
avogadro,cat_activity,charge,efield,mass,velocity
m·v·q·E_f·z·N_A
chemistry,constants,em,mechanics
m·v·q⁻¹·E_f⁻¹·z·N_A
m = k₀ · v⁻¹·q·E_f·z⁻¹·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "velocity": "1", "charge": "-1", "efield": "-1", "cat_activity": "1", "avogadro": "1"}
6
charge,efield,illuminance,lum_intensity,mass,velocity
m·v·q·E_f·I_v·E_v
em,mechanics,photometry
m²·v⁴·q⁻²·E_f⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁴·q⁻²·E_f⁻²·E_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "4", "charge": "-2", "efield": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
charge,efield,lum_intensity,luminance,mass,velocity
m·v·q·E_f·I_v·L_v
em,mechanics,photometry
m²·v⁴·q⁻²·E_f⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁴·q⁻²·E_f⁻²·L_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "4", "charge": "-2", "efield": "-2", "lum_intensity": "-1", "luminance": "1"}
5
charge,efield,mass,planck,velocity
m·v·q·E_f·h
constants,em,mechanics
m²·v³·q⁻¹·E_f⁻¹·h⁻¹
q = k₀ · m²·v³·E_f⁻¹·h⁻¹
null
1
3
3
8
7.3
1.7
false
{"mass": "2", "velocity": "3", "charge": "-1", "efield": "-1", "planck": "-1"}
5
bfield,charge,mag_flux,mass,velocity
m·v·q·B·Φ
em,mechanics
m²·v²·q⁻²·B⁻¹·Φ⁻¹
B = k₀ · m²·v²·q⁻²·Φ⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "charge": "-2", "bfield": "-1", "mag_flux": "-1"}
5
bfield,charge,mass,permittivity,velocity
m·v·q·B·ε
em,mechanics
m²·v³·q⁻³·B⁻¹·ε
B = k₀ · m²·v³·q⁻³·ε
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "3", "charge": "-3", "bfield": "-1", "permittivity": "1"}
5
bfield,charge,mass,permeability,velocity
m·v·q·B·μ₀
em,mechanics
m²·v·q⁻³·B⁻¹·μ₀⁻¹
v = k₀ · m⁻²·q³·B·μ₀
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "velocity": "1", "charge": "-3", "bfield": "-1", "permeability": "-1"}
5
bfield,charge,conductivity,mass,velocity
m·v·q·B·σ
em,mechanics
m³·v³·q⁻⁴·B⁻²·σ
σ = k₀ · m⁻³·v⁻³·q⁴·B²
null
0
2
4
13
10.7
-1.2
false
{"mass": "3", "velocity": "3", "charge": "-4", "bfield": "-2", "conductivity": "1"}
5
bfield,charge,mass,resistivity,velocity
m·v·q·B·ρ_e
em,mechanics
m³·v³·q⁻⁴·B⁻²·ρ_e⁻¹
ρ_e = k₀ · m³·v³·q⁻⁴·B⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "3", "velocity": "3", "charge": "-4", "bfield": "-2", "resistivity": "-1"}
6
amount,bfield,charge,concentration,mass,velocity
m·v·q·B·n·c_n
chemistry,em,mechanics
m³·v³·q⁻³·B⁻³·n⁻¹·c_n
n = k₀ · m³·v³·q⁻³·B⁻³·c_n
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "velocity": "3", "charge": "-3", "bfield": "-3", "amount": "-1", "concentration": "1"}
6
bfield,charge,concentration,mass,molar_mass,velocity
m·v·q·B·M_m·c_n
chemistry,em,mechanics
m²·v³·q⁻³·B⁻³·M_m·c_n
M_m = k₀ · m⁻²·v⁻³·q³·B³·c_n⁻¹
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "velocity": "3", "charge": "-3", "bfield": "-3", "molar_mass": "1", "concentration": "1"}
6
bfield,charge,concentration,mass,molar_energy,velocity
m·v·q·B·c_n·E_m
chemistry,em,mechanics
m²·v·q⁻³·B⁻³·c_n·E_m
v = k₀ · m⁻²·q³·B³·c_n⁻¹·E_m⁻¹
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "velocity": "1", "charge": "-3", "bfield": "-3", "concentration": "1", "molar_energy": "1"}
7
bfield,boltzmann,charge,concentration,gas_constant,mass,velocity
m·v·q·B·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v³·q⁻³·B⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻³·q³·B³·R⁻¹·k_B
null
1
4
3
15
13.4
-4.9
false
{"mass": "3", "velocity": "3", "charge": "-3", "bfield": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
bfield,cat_activity,charge,concentration,mass,velocity
m·v·q·B·c_n·z
chemistry,em,mechanics
m²·v³·q⁻²·B⁻²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻³·q²·B²·z
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "velocity": "3", "charge": "-2", "bfield": "-2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,bfield,charge,concentration,mass,velocity
m·v·q·B·c_n·N_A
chemistry,constants,em,mechanics
m³·v³·q⁻³·B⁻³·c_n·N_A
c_n = k₀ · m⁻³·v⁻³·q³·B³·N_A⁻¹
null
1
4
3
14
12.4
-3.9
false
{"mass": "3", "velocity": "3", "charge": "-3", "bfield": "-3", "concentration": "1", "avogadro": "1"}
6
bfield,charge,illuminance,lum_intensity,mass,velocity
m·v·q·B·I_v·E_v
em,mechanics,photometry
m²·v²·q⁻²·B⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v²·q⁻²·B⁻²·E_v
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "velocity": "2", "charge": "-2", "bfield": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
bfield,charge,lum_intensity,luminance,mass,velocity
m·v·q·B·I_v·L_v
em,mechanics,photometry
m²·v²·q⁻²·B⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v²·q⁻²·B⁻²·L_v
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "velocity": "2", "charge": "-2", "bfield": "-2", "lum_intensity": "-1", "luminance": "1"}
5
bfield,charge,mass,planck,velocity
m·v·q·B·h
constants,em,mechanics
m²·v²·q⁻¹·B⁻¹·h⁻¹
q = k₀ · m²·v²·B⁻¹·h⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "velocity": "2", "charge": "-1", "bfield": "-1", "planck": "-1"}
6
amount,charge,concentration,mag_flux,mass,velocity
m·v·q·Φ·n·c_n
chemistry,em,mechanics
m³·v³·q⁻³·Φ⁻³·n·c_n⁻¹
n = k₀ · m⁻³·v⁻³·q³·Φ³·c_n
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "velocity": "3", "charge": "-3", "mag_flux": "-3", "amount": "1", "concentration": "-1"}
6
amount,cat_activity,charge,mag_flux,mass,velocity
m·v·q·Φ·n·z
chemistry,em,mechanics
m·v²·q⁻¹·Φ⁻¹·n·z⁻¹
m = k₀ · v⁻²·q·Φ·n⁻¹·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "charge": "-1", "mag_flux": "-1", "amount": "1", "cat_activity": "-1"}
6
charge,concentration,mag_flux,mass,molar_mass,velocity
m·v·q·Φ·M_m·c_n
chemistry,em,mechanics
m⁴·v³·q⁻³·Φ⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·v³·q⁻³·Φ⁻³·c_n⁻¹
null
0
3
4
15
13
-4
false
{"mass": "4", "velocity": "3", "charge": "-3", "mag_flux": "-3", "molar_mass": "-1", "concentration": "-1"}
6
cat_activity,charge,mag_flux,mass,molar_mass,velocity
m·v·q·Φ·M_m·z
chemistry,em,mechanics
m²·v²·q⁻¹·Φ⁻¹·M_m⁻¹·z⁻¹
q = k₀ · m²·v²·Φ⁻¹·M_m⁻¹·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "velocity": "2", "charge": "-1", "mag_flux": "-1", "molar_mass": "-1", "cat_activity": "-1"}
6
charge,concentration,mag_flux,mass,molar_energy,velocity
m·v·q·Φ·c_n·E_m
chemistry,em,mechanics
m⁴·v⁵·q⁻³·Φ⁻³·c_n⁻¹·E_m⁻¹
c_n = k₀ · m⁴·v⁵·q⁻³·Φ⁻³·E_m⁻¹
null
0
3
5
17
14.9
-5.9
false
{"mass": "4", "velocity": "5", "charge": "-3", "mag_flux": "-3", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,charge,concentration,gas_constant,mag_flux,mass,velocity
m·v·q·Φ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v³·q⁻³·Φ⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·v³·q⁻³·Φ⁻³·R⁻¹·k_B
null
1
4
3
15
13.4
-4.9
false
{"mass": "3", "velocity": "3", "charge": "-3", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}