Datasets:
RANDMEDIATION
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PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
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
5
bfield,capacitance,mass,permeability,velocity
m·v·C_e·B·μ₀
em,mechanics
m·v⁻⁴·C_e⁻³·B⁻²·μ₀⁻²
m = k₀ · v⁴·C_e³·B²·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-4", "capacitance": "-3", "bfield": "-2", "permeability": "-2"}
5
bfield,capacitance,conductivity,mass,velocity
m·v·C_e·B·σ
em,mechanics
m·v⁻¹·C_e⁻²·B⁻²·σ
m = k₀ · v·C_e²·B²·σ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-1", "capacitance": "-2", "bfield": "-2", "conductivity": "1"}
5
bfield,capacitance,mass,resistivity,velocity
m·v·C_e·B·ρ_e
em,mechanics
m·v⁻¹·C_e⁻²·B⁻²·ρ_e⁻¹
m = k₀ · v·C_e²·B²·ρ_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-1", "capacitance": "-2", "bfield": "-2", "resistivity": "-1"}
6
amount,bfield,capacitance,cat_activity,mass,velocity
m·v·C_e·B·n·z
chemistry,em,mechanics
m·v⁻²·C_e⁻¹·B⁻²·n⁻²·z²
m = k₀ · v²·C_e·B²·n²·z⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "-2", "capacitance": "-1", "bfield": "-2", "amount": "-2", "cat_activity": "2"}
6
bfield,capacitance,cat_activity,mass,molar_mass,velocity
m·v·C_e·B·M_m·z
chemistry,em,mechanics
m·v²·C_e·B²·M_m⁻²·z⁻²
m = k₀ · v⁻²·C_e⁻¹·B⁻²·M_m²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "capacitance": "1", "bfield": "2", "molar_mass": "-2", "cat_activity": "-2"}
6
bfield,capacitance,concentration,mass,molar_energy,velocity
m·v·C_e·B·c_n·E_m
chemistry,em,mechanics
m·v⁻⁴·C_e⁻³·B⁻⁶·c_n²·E_m²
m = k₀ · v⁴·C_e³·B⁶·c_n⁻²·E_m⁻²
null
0
3
6
18
16.1
-7.1
false
{"mass": "1", "velocity": "-4", "capacitance": "-3", "bfield": "-6", "concentration": "2", "molar_energy": "2"}
6
bfield,capacitance,cat_activity,concentration,mass,velocity
m·v·C_e·B·c_n·z
chemistry,em,mechanics
m·v·C_e⁻¹·B⁻²·c_n·z⁻¹
m = k₀ · v⁻¹·C_e·B²·c_n⁻¹·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "capacitance": "-1", "bfield": "-2", "concentration": "1", "cat_activity": "-1"}
6
bfield,capacitance,cat_activity,mass,molar_energy,velocity
m·v·C_e·B·E_m·z
chemistry,em,mechanics
m·v⁶·C_e·B²·E_m⁻²·z⁻²
m = k₀ · v⁻⁶·C_e⁻¹·B⁻²·E_m²·z²
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "velocity": "6", "capacitance": "1", "bfield": "2", "molar_energy": "-2", "cat_activity": "-2"}
7
bfield,boltzmann,capacitance,cat_activity,gas_constant,mass,velocity
m·v·C_e·B·R·z·k_B
chemistry,constants,em,mechanics
m·v⁻²·C_e⁻¹·B⁻²·R²·z²·k_B⁻²
m = k₀ · v²·C_e·B²·R⁻²·z⁻²·k_B²
null
1
4
2
12
10.8
-2.3
false
{"mass": "1", "velocity": "-2", "capacitance": "-1", "bfield": "-2", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,bfield,capacitance,cat_activity,mass,velocity
m·v·C_e·B·z·N_A
chemistry,constants,em,mechanics
m·v⁻²·C_e⁻¹·B⁻²·z²·N_A²
m = k₀ · v²·C_e·B²·z⁻²·N_A⁻²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "velocity": "-2", "capacitance": "-1", "bfield": "-2", "cat_activity": "2", "avogadro": "2"}
5
bfield,capacitance,grav_const,mass,velocity
m·v·C_e·B·G
constants,em,mechanics
m·v⁻⁴·C_e·B²·G²
m = k₀ · v⁴·C_e⁻¹·B⁻²·G⁻²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "velocity": "-4", "capacitance": "1", "bfield": "2", "grav_const": "2"}
5
bfield,capacitance,mass,planck,velocity
m·v·C_e·B·h
constants,em,mechanics
m³·v²·C_e⁻¹·B⁻²·h⁻²
C_e = k₀ · m³·v²·B⁻²·h⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "3", "velocity": "2", "capacitance": "-1", "bfield": "-2", "planck": "-2"}
5
capacitance,mag_flux,mass,permeability,velocity
m·v·C_e·Φ·μ₀
em,mechanics
m·v⁴·C_e·Φ⁻²·μ₀²
m = k₀ · v⁻⁴·C_e⁻¹·Φ²·μ₀⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "capacitance": "1", "mag_flux": "-2", "permeability": "2"}
6
amount,capacitance,cat_activity,mag_flux,mass,velocity
m·v·C_e·Φ·n·z
chemistry,em,mechanics
m·v²·C_e⁻¹·Φ⁻²·n²·z⁻²
m = k₀ · v⁻²·C_e·Φ²·n⁻²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "capacitance": "-1", "mag_flux": "-2", "amount": "2", "cat_activity": "-2"}
6
capacitance,cat_activity,mag_flux,mass,molar_mass,velocity
m·v·C_e·Φ·M_m·z
chemistry,em,mechanics
m³·v²·C_e⁻¹·Φ⁻²·M_m⁻²·z⁻²
C_e = k₀ · m³·v²·Φ⁻²·M_m⁻²·z⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "velocity": "2", "capacitance": "-1", "mag_flux": "-2", "molar_mass": "-2", "cat_activity": "-2"}
6
capacitance,concentration,mag_flux,mass,molar_energy,velocity
m·v·C_e·Φ·c_n·E_m
chemistry,em,mechanics
m⁵·v⁴·C_e⁻³·Φ⁻⁶·c_n⁻²·E_m⁻²
c_n = k₀ · m⁵ᐟ²·v²·C_e⁻³ᐟ²·Φ⁻³·E_m⁻¹
null
0
3
6
22
18.9
-9.9
false
{"mass": "5", "velocity": "4", "capacitance": "-3", "mag_flux": "-6", "concentration": "-2", "molar_energy": "-2"}
6
capacitance,cat_activity,concentration,mag_flux,mass,velocity
m·v·C_e·Φ·c_n·z
chemistry,em,mechanics
m·v⁻¹·C_e⁻¹·Φ⁻²·c_n⁻¹·z
m = k₀ · v·C_e·Φ²·c_n·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "-1", "capacitance": "-1", "mag_flux": "-2", "concentration": "-1", "cat_activity": "1"}
6
capacitance,cat_activity,mag_flux,mass,molar_energy,velocity
m·v·C_e·Φ·E_m·z
chemistry,em,mechanics
m³·v⁶·C_e⁻¹·Φ⁻²·E_m⁻²·z⁻²
C_e = k₀ · m³·v⁶·Φ⁻²·E_m⁻²·z⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "velocity": "6", "capacitance": "-1", "mag_flux": "-2", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,capacitance,cat_activity,gas_constant,mag_flux,mass,velocity
m·v·C_e·Φ·R·z·k_B
chemistry,constants,em,mechanics
m·v²·C_e⁻¹·Φ⁻²·R⁻²·z⁻²·k_B²
m = k₀ · v⁻²·C_e·Φ²·R²·z²·k_B⁻²
null
1
4
2
12
10.8
-2.3
false
{"mass": "1", "velocity": "2", "capacitance": "-1", "mag_flux": "-2", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
6
avogadro,capacitance,cat_activity,mag_flux,mass,velocity
m·v·C_e·Φ·z·N_A
chemistry,constants,em,mechanics
m·v²·C_e⁻¹·Φ⁻²·z⁻²·N_A⁻²
m = k₀ · v⁻²·C_e·Φ²·z²·N_A²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "velocity": "2", "capacitance": "-1", "mag_flux": "-2", "cat_activity": "-2", "avogadro": "-2"}
5
capacitance,grav_const,mag_flux,mass,velocity
m·v·C_e·Φ·G
constants,em,mechanics
m³·v⁻⁴·C_e⁻¹·Φ⁻²·G²
C_e = k₀ · m³·v⁻⁴·Φ⁻²·G²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "-4", "capacitance": "-1", "mag_flux": "-2", "grav_const": "2"}
5
capacitance,mag_flux,mass,planck,velocity
m·v·C_e·Φ·h
constants,em,mechanics
m·v²·C_e·Φ²·h⁻²
m = k₀ · v⁻²·C_e⁻¹·Φ⁻²·h²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "capacitance": "1", "mag_flux": "2", "planck": "-2"}
6
capacitance,cat_activity,mass,molar_mass,permittivity,velocity
m·v·C_e·ε·M_m·z
chemistry,em,mechanics
m·v·C_e⁻¹·ε·M_m⁻¹·z⁻¹
m = k₀ · v⁻¹·C_e·ε⁻¹·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "capacitance": "-1", "permittivity": "1", "molar_mass": "-1", "cat_activity": "-1"}
6
capacitance,concentration,mass,molar_energy,permittivity,velocity
m·v·C_e·ε·c_n·E_m
chemistry,em,mechanics
m·v²·C_e⁻³·ε³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻²·C_e³·ε⁻³·c_n·E_m
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "2", "capacitance": "-3", "permittivity": "3", "concentration": "-1", "molar_energy": "-1"}
6
capacitance,cat_activity,mass,molar_energy,permittivity,velocity
m·v·C_e·ε·E_m·z
chemistry,em,mechanics
m·v³·C_e⁻¹·ε·E_m⁻¹·z⁻¹
m = k₀ · v⁻³·C_e·ε⁻¹·E_m·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "capacitance": "-1", "permittivity": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
capacitance,grav_const,mass,permittivity,velocity
m·v·C_e·ε·G
constants,em,mechanics
m·v⁻²·C_e⁻¹·ε·G
m = k₀ · v²·C_e·ε⁻¹·G⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-2", "capacitance": "-1", "permittivity": "1", "grav_const": "1"}
5
capacitance,mass,permittivity,planck,velocity
m·v·C_e·ε·h
constants,em,mechanics
m·v·C_e·ε⁻¹·h⁻¹
m = k₀ · v⁻¹·C_e⁻¹·ε·h
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "capacitance": "1", "permittivity": "-1", "planck": "-1"}
6
capacitance,concentration,mass,molar_mass,permeability,velocity
m·v·C_e·μ₀·M_m·c_n
chemistry,em,mechanics
m·v⁻⁶·C_e⁻³·μ₀⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁶·C_e³·μ₀³·M_m·c_n
null
0
3
6
15
14
-5
false
{"mass": "1", "velocity": "-6", "capacitance": "-3", "permeability": "-3", "molar_mass": "-1", "concentration": "-1"}
6
capacitance,cat_activity,mass,molar_mass,permeability,velocity
m·v·C_e·μ₀·M_m·z
chemistry,em,mechanics
m·v⁻¹·C_e⁻¹·μ₀⁻¹·M_m⁻¹·z⁻¹
m = k₀ · v·C_e·μ₀·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "-1", "capacitance": "-1", "permeability": "-1", "molar_mass": "-1", "cat_activity": "-1"}
6
capacitance,concentration,mass,molar_energy,permeability,velocity
m·v·C_e·μ₀·c_n·E_m
chemistry,em,mechanics
m·v⁻⁴·C_e⁻³·μ₀⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁴·C_e³·μ₀³·c_n·E_m
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "velocity": "-4", "capacitance": "-3", "permeability": "-3", "concentration": "-1", "molar_energy": "-1"}
6
capacitance,cat_activity,mass,molar_energy,permeability,velocity
m·v·C_e·μ₀·E_m·z
chemistry,em,mechanics
m·v·C_e⁻¹·μ₀⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻¹·C_e·μ₀·E_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "capacitance": "-1", "permeability": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
capacitance,grav_const,mass,permeability,velocity
m·v·C_e·μ₀·G
constants,em,mechanics
m·v⁻⁴·C_e⁻¹·μ₀⁻¹·G
m = k₀ · v⁴·C_e·μ₀·G⁻¹
null
1
3
4
8
7.8
1.2
false
{"mass": "1", "velocity": "-4", "capacitance": "-1", "permeability": "-1", "grav_const": "1"}
5
capacitance,mass,permeability,planck,velocity
m·v·C_e·μ₀·h
constants,em,mechanics
m·v³·C_e·μ₀·h⁻¹
m = k₀ · v⁻³·C_e⁻¹·μ₀⁻¹·h
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "3", "capacitance": "1", "permeability": "1", "planck": "-1"}
6
capacitance,concentration,conductivity,mass,molar_mass,velocity
m·v·C_e·σ·M_m·c_n
chemistry,em,mechanics
m²·v⁻³·C_e⁻³·σ³·M_m⁻²·c_n⁻²
m = k₀ · v³ᐟ²·C_e³ᐟ²·σ⁻³ᐟ²·M_m·c_n
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "velocity": "-3", "capacitance": "-3", "conductivity": "3", "molar_mass": "-2", "concentration": "-2"}
6
capacitance,cat_activity,conductivity,mass,molar_mass,velocity
m·v·C_e·σ·M_m·z
chemistry,em,mechanics
m²·v·C_e⁻¹·σ·M_m⁻²·z⁻²
v = k₀ · m⁻²·C_e·σ⁻¹·M_m²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "velocity": "1", "capacitance": "-1", "conductivity": "1", "molar_mass": "-2", "cat_activity": "-2"}
6
capacitance,concentration,conductivity,mass,molar_energy,velocity
m·v·C_e·σ·c_n·E_m
chemistry,em,mechanics
m²·v·C_e⁻³·σ³·c_n⁻²·E_m⁻²
v = k₀ · m⁻²·C_e³·σ⁻³·c_n²·E_m²
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "velocity": "1", "capacitance": "-3", "conductivity": "3", "concentration": "-2", "molar_energy": "-2"}
6
capacitance,cat_activity,conductivity,mass,molar_energy,velocity
m·v·C_e·σ·E_m·z
chemistry,em,mechanics
m²·v⁵·C_e⁻¹·σ·E_m⁻²·z⁻²
C_e = k₀ · m²·v⁵·σ·E_m⁻²·z⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "2", "velocity": "5", "capacitance": "-1", "conductivity": "1", "molar_energy": "-2", "cat_activity": "-2"}
5
capacitance,conductivity,grav_const,mass,velocity
m·v·C_e·σ·G
constants,em,mechanics
m²·v⁻⁵·C_e⁻¹·σ·G²
C_e = k₀ · m²·v⁻⁵·σ·G²
null
1
3
5
11
10.4
-1.4
false
{"mass": "2", "velocity": "-5", "capacitance": "-1", "conductivity": "1", "grav_const": "2"}
5
capacitance,conductivity,mass,planck,velocity
m·v·C_e·σ·h
constants,em,mechanics
m²·v³·C_e·σ⁻¹·h⁻²
C_e = k₀ · m⁻²·v⁻³·σ·h²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "capacitance": "1", "conductivity": "-1", "planck": "-2"}
6
capacitance,concentration,mass,molar_mass,resistivity,velocity
m·v·C_e·ρ_e·M_m·c_n
chemistry,em,mechanics
m²·v⁻³·C_e⁻³·ρ_e⁻³·M_m⁻²·c_n⁻²
m = k₀ · v³ᐟ²·C_e³ᐟ²·ρ_e³ᐟ²·M_m·c_n
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "velocity": "-3", "capacitance": "-3", "resistivity": "-3", "molar_mass": "-2", "concentration": "-2"}
6
capacitance,cat_activity,mass,molar_mass,resistivity,velocity
m·v·C_e·ρ_e·M_m·z
chemistry,em,mechanics
m²·v·C_e⁻¹·ρ_e⁻¹·M_m⁻²·z⁻²
v = k₀ · m⁻²·C_e·ρ_e·M_m²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "velocity": "1", "capacitance": "-1", "resistivity": "-1", "molar_mass": "-2", "cat_activity": "-2"}
6
capacitance,concentration,mass,molar_energy,resistivity,velocity
m·v·C_e·ρ_e·c_n·E_m
chemistry,em,mechanics
m²·v·C_e⁻³·ρ_e⁻³·c_n⁻²·E_m⁻²
v = k₀ · m⁻²·C_e³·ρ_e³·c_n²·E_m²
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "velocity": "1", "capacitance": "-3", "resistivity": "-3", "concentration": "-2", "molar_energy": "-2"}
6
capacitance,cat_activity,mass,molar_energy,resistivity,velocity
m·v·C_e·ρ_e·E_m·z
chemistry,em,mechanics
m²·v⁵·C_e⁻¹·ρ_e⁻¹·E_m⁻²·z⁻²
C_e = k₀ · m²·v⁵·ρ_e⁻¹·E_m⁻²·z⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "2", "velocity": "5", "capacitance": "-1", "resistivity": "-1", "molar_energy": "-2", "cat_activity": "-2"}
5
capacitance,grav_const,mass,resistivity,velocity
m·v·C_e·ρ_e·G
constants,em,mechanics
m²·v⁻⁵·C_e⁻¹·ρ_e⁻¹·G²
C_e = k₀ · m²·v⁻⁵·ρ_e⁻¹·G²
null
1
3
5
11
10.4
-1.4
false
{"mass": "2", "velocity": "-5", "capacitance": "-1", "resistivity": "-1", "grav_const": "2"}
5
capacitance,mass,planck,resistivity,velocity
m·v·C_e·ρ_e·h
constants,em,mechanics
m²·v³·C_e·ρ_e·h⁻²
C_e = k₀ · m⁻²·v⁻³·ρ_e⁻¹·h²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "capacitance": "1", "resistivity": "1", "planck": "-2"}
4
capacitance,elem_charge,mass,velocity
m·v·C_e·e
constants,em,mechanics
m·v²·C_e·e⁻²
m = k₀ · v⁻²·C_e⁻¹·e²
null
1
3
2
6
5.1
3.9
false
{"mass": "1", "velocity": "2", "capacitance": "1", "elem_charge": "-2"}
5
efield,inductance,mass,permittivity,velocity
m·v·L_e·E_f·ε
em,mechanics
m·v⁻⁴·L_e⁻³·E_f⁻²·ε⁻⁴
m = k₀ · v⁴·L_e³·E_f²·ε⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "velocity": "-4", "inductance": "-3", "efield": "-2", "permittivity": "-4"}
5
efield,inductance,mass,permeability,velocity
m·v·L_e·E_f·μ₀
em,mechanics
m·v⁴·L_e⁻³·E_f⁻²·μ₀⁴
m = k₀ · v⁻⁴·L_e³·E_f²·μ₀⁻⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "velocity": "4", "inductance": "-3", "efield": "-2", "permeability": "4"}
6
amount,concentration,efield,inductance,mass,velocity
m·v·L_e·E_f·n·c_n
chemistry,em,mechanics
m³·v¹²·L_e³·E_f⁻⁶·n⁻⁴·c_n⁴
m = k₀ · v⁻⁴·L_e⁻¹·E_f²·n⁴ᐟ³·c_n⁻⁴ᐟ³
null
0
3
12
32
28.9
-19.9
false
{"mass": "3", "velocity": "12", "inductance": "3", "efield": "-6", "amount": "-4", "concentration": "4"}
6
concentration,efield,inductance,mass,molar_mass,velocity
m·v·L_e·E_f·M_m·c_n
chemistry,em,mechanics
m·v⁻¹²·L_e⁻³·E_f⁶·M_m⁻⁴·c_n⁻⁴
m = k₀ · v¹²·L_e³·E_f⁻⁶·M_m⁴·c_n⁴
null
0
3
12
30
27.5
-18.5
false
{"mass": "1", "velocity": "-12", "inductance": "-3", "efield": "6", "molar_mass": "-4", "concentration": "-4"}
6
concentration,efield,inductance,mass,molar_energy,velocity
m·v·L_e·E_f·c_n·E_m
chemistry,em,mechanics
m·v⁻⁴·L_e⁻³·E_f⁶·c_n⁻⁴·E_m⁻⁴
m = k₀ · v⁴·L_e³·E_f⁻⁶·c_n⁴·E_m⁴
null
0
3
6
22
18.9
-9.9
false
{"mass": "1", "velocity": "-4", "inductance": "-3", "efield": "6", "concentration": "-4", "molar_energy": "-4"}
7
boltzmann,concentration,efield,gas_constant,inductance,mass,velocity
m·v·L_e·E_f·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v¹²·L_e³·E_f⁻⁶·c_n⁴·R⁴·k_B⁻⁴
m = k₀ · v⁻⁴·L_e⁻¹·E_f²·c_n⁻⁴ᐟ³·R⁻⁴ᐟ³·k_B⁴ᐟ³
null
1
4
12
36
32.6
-24.1
false
{"mass": "3", "velocity": "12", "inductance": "3", "efield": "-6", "concentration": "4", "gas_constant": "4", "boltzmann": "-4"}
6
cat_activity,concentration,efield,inductance,mass,velocity
m·v·L_e·E_f·c_n·z
chemistry,em,mechanics
m·v⁶·L_e·E_f⁻²·c_n²·z⁻²
m = k₀ · v⁻⁶·L_e⁻¹·E_f²·c_n⁻²·z²
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "velocity": "6", "inductance": "1", "efield": "-2", "concentration": "2", "cat_activity": "-2"}
6
avogadro,concentration,efield,inductance,mass,velocity
m·v·L_e·E_f·c_n·N_A
chemistry,constants,em,mechanics
m³·v¹²·L_e³·E_f⁻⁶·c_n⁴·N_A⁴
m = k₀ · v⁻⁴·L_e⁻¹·E_f²·c_n⁻⁴ᐟ³·N_A⁻⁴ᐟ³
null
1
4
12
32
29.5
-21
false
{"mass": "3", "velocity": "12", "inductance": "3", "efield": "-6", "concentration": "4", "avogadro": "4"}
6
cat_activity,efield,inductance,mass,molar_energy,velocity
m·v·L_e·E_f·E_m·z
chemistry,em,mechanics
m³·v⁸·L_e⁻¹·E_f²·E_m⁻⁴·z⁻⁴
L_e = k₀ · m³·v⁸·E_f²·E_m⁻⁴·z⁻⁴
null
0
3
8
22
19.9
-10.9
false
{"mass": "3", "velocity": "8", "inductance": "-1", "efield": "2", "molar_energy": "-4", "cat_activity": "-4"}
6
efield,illuminance,inductance,lum_intensity,mass,velocity
m·v·L_e·E_f·I_v·E_v
em,mechanics,photometry
m·v⁴·L_e·E_f⁻²·I_v⁻²·E_v²
m = k₀ · v⁻⁴·L_e⁻¹·E_f²·I_v²·E_v⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "inductance": "1", "efield": "-2", "lum_intensity": "-2", "illuminance": "2"}
6
efield,inductance,lum_intensity,luminance,mass,velocity
m·v·L_e·E_f·I_v·L_v
em,mechanics,photometry
m·v⁴·L_e·E_f⁻²·I_v⁻²·L_v²
m = k₀ · v⁻⁴·L_e⁻¹·E_f²·I_v²·L_v⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "inductance": "1", "efield": "-2", "lum_intensity": "-2", "luminance": "2"}
5
efield,grav_const,inductance,mass,velocity
m·v·L_e·E_f·G
constants,em,mechanics
m³·v⁻¹²·L_e⁻¹·E_f²·G⁴
L_e = k₀ · m³·v⁻¹²·E_f²·G⁴
null
1
3
12
22
21.6
-12.6
false
{"mass": "3", "velocity": "-12", "inductance": "-1", "efield": "2", "grav_const": "4"}
5
efield,inductance,mass,planck,velocity
m·v·L_e·E_f·h
constants,em,mechanics
m⁵·v⁸·L_e·E_f⁻²·h⁻⁴
L_e = k₀ · m⁻⁵·v⁻⁸·E_f²·h⁴
null
1
3
8
20
18.2
-9.2
false
{"mass": "5", "velocity": "8", "inductance": "1", "efield": "-2", "planck": "-4"}
5
efield,elem_charge,inductance,mass,velocity
m·v·L_e·E_f·e
constants,em,mechanics
m³·v⁴·L_e⁻¹·E_f⁻²·e⁻⁴
L_e = k₀ · m³·v⁴·E_f⁻²·e⁻⁴
null
1
3
4
14
12
-3
false
{"mass": "3", "velocity": "4", "inductance": "-1", "efield": "-2", "elem_charge": "-4"}
5
bfield,inductance,mass,permittivity,velocity
m·v·L_e·B·ε
em,mechanics
m·v⁻⁶·L_e⁻³·B⁻²·ε⁻⁴
m = k₀ · v⁶·L_e³·B²·ε⁴
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "velocity": "-6", "inductance": "-3", "bfield": "-2", "permittivity": "-4"}
5
bfield,inductance,mass,permeability,velocity
m·v·L_e·B·μ₀
em,mechanics
m·v²·L_e⁻³·B⁻²·μ₀⁴
m = k₀ · v⁻²·L_e³·B²·μ₀⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "2", "inductance": "-3", "bfield": "-2", "permeability": "4"}
6
amount,bfield,concentration,inductance,mass,velocity
m·v·L_e·B·n·c_n
chemistry,em,mechanics
m³·v⁶·L_e³·B⁻⁶·n⁻⁴·c_n⁴
m = k₀ · v⁻²·L_e⁻¹·B²·n⁴ᐟ³·c_n⁻⁴ᐟ³
null
0
3
6
26
21.7
-12.7
false
{"mass": "3", "velocity": "6", "inductance": "3", "bfield": "-6", "amount": "-4", "concentration": "4"}
6
amount,bfield,cat_activity,inductance,mass,velocity
m·v·L_e·B·n·z
chemistry,em,mechanics
m·v⁻²·L_e·B⁻²·n⁻⁴·z⁴
m = k₀ · v²·L_e⁻¹·B²·n⁴·z⁻⁴
null
0
3
4
14
12.3
-3.3
false
{"mass": "1", "velocity": "-2", "inductance": "1", "bfield": "-2", "amount": "-4", "cat_activity": "4"}
6
bfield,concentration,inductance,mass,molar_mass,velocity
m·v·L_e·B·M_m·c_n
chemistry,em,mechanics
m·v⁻⁶·L_e⁻³·B⁶·M_m⁻⁴·c_n⁻⁴
m = k₀ · v⁶·L_e³·B⁻⁶·M_m⁴·c_n⁴
null
0
3
6
24
20.3
-11.3
false
{"mass": "1", "velocity": "-6", "inductance": "-3", "bfield": "6", "molar_mass": "-4", "concentration": "-4"}
6
bfield,cat_activity,inductance,mass,molar_mass,velocity
m·v·L_e·B·M_m·z
chemistry,em,mechanics
m³·v²·L_e⁻¹·B²·M_m⁻⁴·z⁻⁴
L_e = k₀ · m³·v²·B²·M_m⁻⁴·z⁻⁴
null
0
3
4
16
13.7
-4.7
false
{"mass": "3", "velocity": "2", "inductance": "-1", "bfield": "2", "molar_mass": "-4", "cat_activity": "-4"}
6
bfield,concentration,inductance,mass,molar_energy,velocity
m·v·L_e·B·c_n·E_m
chemistry,em,mechanics
m·v²·L_e⁻³·B⁶·c_n⁻⁴·E_m⁻⁴
m = k₀ · v⁻²·L_e³·B⁻⁶·c_n⁴·E_m⁴
null
0
3
6
20
17.5
-8.5
false
{"mass": "1", "velocity": "2", "inductance": "-3", "bfield": "6", "concentration": "-4", "molar_energy": "-4"}
7
bfield,boltzmann,concentration,gas_constant,inductance,mass,velocity
m·v·L_e·B·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁶·L_e³·B⁻⁶·c_n⁴·R⁴·k_B⁻⁴
m = k₀ · v⁻²·L_e⁻¹·B²·c_n⁻⁴ᐟ³·R⁻⁴ᐟ³·k_B⁴ᐟ³
null
1
4
6
30
25.4
-16.9
false
{"mass": "3", "velocity": "6", "inductance": "3", "bfield": "-6", "concentration": "4", "gas_constant": "4", "boltzmann": "-4"}
6
bfield,cat_activity,concentration,inductance,mass,velocity
m·v·L_e·B·c_n·z
chemistry,em,mechanics
m·v⁴·L_e·B⁻²·c_n²·z⁻²
m = k₀ · v⁻⁴·L_e⁻¹·B²·c_n⁻²·z²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "inductance": "1", "bfield": "-2", "concentration": "2", "cat_activity": "-2"}
6
avogadro,bfield,concentration,inductance,mass,velocity
m·v·L_e·B·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁶·L_e³·B⁻⁶·c_n⁴·N_A⁴
m = k₀ · v⁻²·L_e⁻¹·B²·c_n⁻⁴ᐟ³·N_A⁻⁴ᐟ³
null
1
4
6
26
22.3
-13.8
false
{"mass": "3", "velocity": "6", "inductance": "3", "bfield": "-6", "concentration": "4", "avogadro": "4"}
6
bfield,cat_activity,inductance,mass,molar_energy,velocity
m·v·L_e·B·E_m·z
chemistry,em,mechanics
m³·v¹⁰·L_e⁻¹·B²·E_m⁻⁴·z⁻⁴
L_e = k₀ · m³·v¹⁰·B²·E_m⁻⁴·z⁻⁴
null
0
3
10
24
22.3
-13.3
false
{"mass": "3", "velocity": "10", "inductance": "-1", "bfield": "2", "molar_energy": "-4", "cat_activity": "-4"}
7
bfield,boltzmann,cat_activity,gas_constant,inductance,mass,velocity
m·v·L_e·B·R·z·k_B
chemistry,constants,em,mechanics
m·v⁻²·L_e·B⁻²·R⁴·z⁴·k_B⁻⁴
m = k₀ · v²·L_e⁻¹·B²·R⁻⁴·z⁻⁴·k_B⁴
null
1
4
4
18
16
-7.5
false
{"mass": "1", "velocity": "-2", "inductance": "1", "bfield": "-2", "gas_constant": "4", "cat_activity": "4", "boltzmann": "-4"}
6
avogadro,bfield,cat_activity,inductance,mass,velocity
m·v·L_e·B·z·N_A
chemistry,constants,em,mechanics
m·v⁻²·L_e·B⁻²·z⁴·N_A⁴
m = k₀ · v²·L_e⁻¹·B²·z⁻⁴·N_A⁻⁴
null
1
4
4
14
12.9
-4.4
false
{"mass": "1", "velocity": "-2", "inductance": "1", "bfield": "-2", "cat_activity": "4", "avogadro": "4"}
6
bfield,illuminance,inductance,lum_intensity,mass,velocity
m·v·L_e·B·I_v·E_v
em,mechanics,photometry
m·v²·L_e·B⁻²·I_v⁻²·E_v²
m = k₀ · v⁻²·L_e⁻¹·B²·I_v²·E_v⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "inductance": "1", "bfield": "-2", "lum_intensity": "-2", "illuminance": "2"}
6
bfield,inductance,lum_intensity,luminance,mass,velocity
m·v·L_e·B·I_v·L_v
em,mechanics,photometry
m·v²·L_e·B⁻²·I_v⁻²·L_v²
m = k₀ · v⁻²·L_e⁻¹·B²·I_v²·L_v⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "inductance": "1", "bfield": "-2", "lum_intensity": "-2", "luminance": "2"}
5
bfield,grav_const,inductance,mass,velocity
m·v·L_e·B·G
constants,em,mechanics
m³·v⁻¹⁰·L_e⁻¹·B²·G⁴
L_e = k₀ · m³·v⁻¹⁰·B²·G⁴
null
1
3
10
20
19.2
-10.2
false
{"mass": "3", "velocity": "-10", "inductance": "-1", "bfield": "2", "grav_const": "4"}
5
bfield,inductance,mass,planck,velocity
m·v·L_e·B·h
constants,em,mechanics
m⁵·v⁶·L_e·B⁻²·h⁻⁴
L_e = k₀ · m⁻⁵·v⁻⁶·B²·h⁴
null
1
3
6
18
15.8
-6.8
false
{"mass": "5", "velocity": "6", "inductance": "1", "bfield": "-2", "planck": "-4"}
5
bfield,elem_charge,inductance,mass,velocity
m·v·L_e·B·e
constants,em,mechanics
m³·v²·L_e⁻¹·B⁻²·e⁻⁴
L_e = k₀ · m³·v²·B⁻²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "2", "inductance": "-1", "bfield": "-2", "elem_charge": "-4"}
4
inductance,mag_flux,mass,velocity
m·v·L_e·Φ
em,mechanics
m·v²·L_e·Φ⁻²
m = k₀ · v⁻²·L_e⁻¹·Φ²
null
0
2
2
6
4.5
5
true
{"mass": "1", "velocity": "2", "inductance": "1", "mag_flux": "-2"}
6
concentration,inductance,mass,molar_mass,permittivity,velocity
m·v·L_e·ε·M_m·c_n
chemistry,em,mechanics
m·v⁻⁶·L_e⁻³·ε⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁶·L_e³·ε³·M_m·c_n
null
0
3
6
15
14
-5
false
{"mass": "1", "velocity": "-6", "inductance": "-3", "permittivity": "-3", "molar_mass": "-1", "concentration": "-1"}
6
cat_activity,inductance,mass,molar_mass,permittivity,velocity
m·v·L_e·ε·M_m·z
chemistry,em,mechanics
m·v⁻¹·L_e⁻¹·ε⁻¹·M_m⁻¹·z⁻¹
m = k₀ · v·L_e·ε·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "-1", "inductance": "-1", "permittivity": "-1", "molar_mass": "-1", "cat_activity": "-1"}
6
concentration,inductance,mass,molar_energy,permittivity,velocity
m·v·L_e·ε·c_n·E_m
chemistry,em,mechanics
m·v⁻⁴·L_e⁻³·ε⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁴·L_e³·ε³·c_n·E_m
null
0
3
4
13
11.6
-2.6
false
{"mass": "1", "velocity": "-4", "inductance": "-3", "permittivity": "-3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,inductance,mass,molar_energy,permittivity,velocity
m·v·L_e·ε·E_m·z
chemistry,em,mechanics
m·v·L_e⁻¹·ε⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻¹·L_e·ε·E_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "inductance": "-1", "permittivity": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,inductance,mass,permittivity,velocity
m·v·L_e·ε·G
constants,em,mechanics
m·v⁻⁴·L_e⁻¹·ε⁻¹·G
m = k₀ · v⁴·L_e·ε·G⁻¹
null
1
3
4
8
7.8
1.2
false
{"mass": "1", "velocity": "-4", "inductance": "-1", "permittivity": "-1", "grav_const": "1"}
5
inductance,mass,permittivity,planck,velocity
m·v·L_e·ε·h
constants,em,mechanics
m·v³·L_e·ε·h⁻¹
m = k₀ · v⁻³·L_e⁻¹·ε⁻¹·h
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "3", "inductance": "1", "permittivity": "1", "planck": "-1"}
5
elem_charge,inductance,mass,permittivity,velocity
m·v·L_e·ε·e
constants,em,mechanics
m·v⁴·L_e·ε²·e⁻²
m = k₀ · v⁻⁴·L_e⁻¹·ε⁻²·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "velocity": "4", "inductance": "1", "permittivity": "2", "elem_charge": "-2"}
6
cat_activity,inductance,mass,molar_mass,permeability,velocity
m·v·L_e·μ₀·M_m·z
chemistry,em,mechanics
m·v·L_e⁻¹·μ₀·M_m⁻¹·z⁻¹
m = k₀ · v⁻¹·L_e·μ₀⁻¹·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "inductance": "-1", "permeability": "1", "molar_mass": "-1", "cat_activity": "-1"}
6
concentration,inductance,mass,molar_energy,permeability,velocity
m·v·L_e·μ₀·c_n·E_m
chemistry,em,mechanics
m·v²·L_e⁻³·μ₀³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻²·L_e³·μ₀⁻³·c_n·E_m
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "2", "inductance": "-3", "permeability": "3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,inductance,mass,molar_energy,permeability,velocity
m·v·L_e·μ₀·E_m·z
chemistry,em,mechanics
m·v³·L_e⁻¹·μ₀·E_m⁻¹·z⁻¹
m = k₀ · v⁻³·L_e·μ₀⁻¹·E_m·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "inductance": "-1", "permeability": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,inductance,mass,permeability,velocity
m·v·L_e·μ₀·G
constants,em,mechanics
m·v⁻²·L_e⁻¹·μ₀·G
m = k₀ · v²·L_e·μ₀⁻¹·G⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-2", "inductance": "-1", "permeability": "1", "grav_const": "1"}
5
inductance,mass,permeability,planck,velocity
m·v·L_e·μ₀·h
constants,em,mechanics
m·v·L_e·μ₀⁻¹·h⁻¹
m = k₀ · v⁻¹·L_e⁻¹·μ₀·h
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "inductance": "1", "permeability": "-1", "planck": "-1"}
6
amount,cat_activity,elem_charge,inductance,mass,velocity
m·v·L_e·n·z·e
chemistry,constants,em,mechanics
m·v²·L_e⁻¹·n²·z⁻²·e⁻²
m = k₀ · v⁻²·L_e·n⁻²·z²·e²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "velocity": "2", "inductance": "-1", "amount": "2", "cat_activity": "-2", "elem_charge": "-2"}
6
cat_activity,elem_charge,inductance,mass,molar_mass,velocity
m·v·L_e·M_m·z·e
chemistry,constants,em,mechanics
m³·v²·L_e⁻¹·M_m⁻²·z⁻²·e⁻²
L_e = k₀ · m³·v²·M_m⁻²·z⁻²·e⁻²
null
1
4
3
12
11
-2.5
false
{"mass": "3", "velocity": "2", "inductance": "-1", "molar_mass": "-2", "cat_activity": "-2", "elem_charge": "-2"}
6
concentration,elem_charge,inductance,mass,molar_energy,velocity
m·v·L_e·c_n·E_m·e
chemistry,constants,em,mechanics
m⁵·v⁴·L_e⁻³·c_n⁻²·E_m⁻²·e⁻⁶
c_n = k₀ · m⁵ᐟ²·v²·L_e⁻³ᐟ²·E_m⁻¹·e⁻³
null
1
4
6
22
19.5
-11
false
{"mass": "5", "velocity": "4", "inductance": "-3", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-6"}
6
cat_activity,concentration,elem_charge,inductance,mass,velocity
m·v·L_e·c_n·z·e
chemistry,constants,em,mechanics
m·v⁻¹·L_e⁻¹·c_n⁻¹·z·e⁻²
m = k₀ · v·L_e·c_n·z⁻¹·e²
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "-1", "inductance": "-1", "concentration": "-1", "cat_activity": "1", "elem_charge": "-2"}
6
cat_activity,elem_charge,inductance,mass,molar_energy,velocity
m·v·L_e·E_m·z·e
chemistry,constants,em,mechanics
m³·v⁶·L_e⁻¹·E_m⁻²·z⁻²·e⁻²
L_e = k₀ · m³·v⁶·E_m⁻²·z⁻²·e⁻²
null
1
4
6
16
15.3
-6.8
false
{"mass": "3", "velocity": "6", "inductance": "-1", "molar_energy": "-2", "cat_activity": "-2", "elem_charge": "-2"}
7
boltzmann,cat_activity,elem_charge,gas_constant,inductance,mass,velocity
m·v·L_e·R·z·k_B·e
chemistry,constants,em,mechanics
m·v²·L_e⁻¹·R⁻²·z⁻²·k_B²·e⁻²
m = k₀ · v⁻²·L_e·R²·z²·k_B⁻²·e²
null
2
4
2
12
11.8
-4.8
false
{"mass": "1", "velocity": "2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2", "elem_charge": "-2"}
6
avogadro,cat_activity,elem_charge,inductance,mass,velocity
m·v·L_e·z·e·N_A
chemistry,constants,em,mechanics
m·v²·L_e⁻¹·z⁻²·e⁻²·N_A⁻²
m = k₀ · v⁻²·L_e·z²·e²·N_A²
null
2
4
2
10
10.1
-3.1
false
{"mass": "1", "velocity": "2", "inductance": "-1", "cat_activity": "-2", "elem_charge": "-2", "avogadro": "-2"}
5
elem_charge,grav_const,inductance,mass,velocity
m·v·L_e·G·e
constants,em,mechanics
m³·v⁻⁴·L_e⁻¹·G²·e⁻²
L_e = k₀ · m³·v⁻⁴·G²·e⁻²
null
2
3
4
12
11.6
-4.1
false
{"mass": "3", "velocity": "-4", "inductance": "-1", "grav_const": "2", "elem_charge": "-2"}
5
elem_charge,inductance,mass,planck,velocity
m·v·L_e·h·e
constants,em,mechanics
m·v²·L_e·h⁻²·e²
m = k₀ · v⁻²·L_e⁻¹·h²·e⁻²
null
2
3
2
8
7.8
-0.3
false
{"mass": "1", "velocity": "2", "inductance": "1", "planck": "-2", "elem_charge": "2"}