Datasets:
RANDMEDIATION
/
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
acceleration,density,efield,mass,resistance
m·a·ρ·R·E_f
em,mechanics
m·a³·ρ·R²·E_f⁻⁴
m = k₀ · a⁻³·ρ⁻¹·R⁻²·E_f⁴
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "acceleration": "3", "density": "1", "resistance": "2", "efield": "-4"}
5
acceleration,bfield,density,mass,resistance
m·a·ρ·R·B
em,mechanics
m·a³·ρ⁵·R⁶·B⁻¹²
m = k₀ · a⁻³·ρ⁻⁵·R⁻⁶·B¹²
null
0
2
12
27
24.5
-15
false
{"mass": "1", "acceleration": "3", "density": "5", "resistance": "6", "bfield": "-12"}
5
acceleration,density,mag_flux,mass,resistance
m·a·ρ·R·Φ
em,mechanics
m³·a·ρ⁻¹·R²·Φ⁻⁴
a = k₀ · m⁻³·ρ·R⁻²·Φ⁴
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "acceleration": "1", "density": "-1", "resistance": "2", "mag_flux": "-4"}
5
acceleration,density,mass,permittivity,resistance
m·a·ρ·R·ε
em,mechanics
m·a³·ρ⁻¹·R⁶·ε⁶
m = k₀ · a⁻³·ρ·R⁻⁶·ε⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "3", "density": "-1", "resistance": "6", "permittivity": "6"}
5
acceleration,density,mass,permeability,resistance
m·a·ρ·R·μ₀
em,mechanics
m·a³·ρ⁻¹·R⁻⁶·μ₀⁶
m = k₀ · a⁻³·ρ·R⁶·μ₀⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "3", "density": "-1", "resistance": "-6", "permeability": "6"}
5
acceleration,density,elem_charge,mass,resistance
m·a·ρ·R·e
constants,em,mechanics
m³·a·ρ⁻¹·R⁻²·e⁻⁴
a = k₀ · m⁻³·ρ·R²·e⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "3", "acceleration": "1", "density": "-1", "resistance": "-2", "elem_charge": "-4"}
5
acceleration,capacitance,density,inductance,mass
m·a·ρ·C_e·L_e
em,mechanics
m·a⁻³·ρ⁻¹·C_e⁻³·L_e⁻³
m = k₀ · a³·ρ·C_e³·L_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "-3", "density": "-1", "capacitance": "-3", "inductance": "-3"}
5
acceleration,capacitance,density,efield,mass
m·a·ρ·C_e·E_f
em,mechanics
m²·a³·ρ·C_e⁻³·E_f⁻⁶
ρ = k₀ · m⁻²·a⁻³·C_e³·E_f⁶
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "acceleration": "3", "density": "1", "capacitance": "-3", "efield": "-6"}
5
acceleration,capacitance,conductivity,density,mass
m·a·ρ·C_e·σ
em,mechanics
m·a⁻¹·ρ⁻¹·C_e⁻²·σ²
m = k₀ · a·ρ·C_e²·σ⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "-1", "density": "-1", "capacitance": "-2", "conductivity": "2"}
5
acceleration,capacitance,density,mass,resistivity
m·a·ρ·C_e·ρ_e
em,mechanics
m·a⁻¹·ρ⁻¹·C_e⁻²·ρ_e⁻²
m = k₀ · a·ρ·C_e²·ρ_e²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "-1", "density": "-1", "capacitance": "-2", "resistivity": "-2"}
5
acceleration,capacitance,density,elem_charge,mass
m·a·ρ·C_e·e
constants,em,mechanics
m⁴·a³·ρ⁻¹·C_e³·e⁻⁶
ρ = k₀ · m⁴·a³·C_e³·e⁻⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "4", "acceleration": "3", "density": "-1", "capacitance": "3", "elem_charge": "-6"}
5
acceleration,density,efield,inductance,mass
m·a·ρ·L_e·E_f
em,mechanics
m·a⁶·ρ²·L_e³·E_f⁻⁶
m = k₀ · a⁻⁶·ρ⁻²·L_e⁻³·E_f⁶
null
0
2
6
18
15.2
-5.7
false
{"mass": "1", "acceleration": "6", "density": "2", "inductance": "3", "efield": "-6"}
5
acceleration,density,inductance,mag_flux,mass
m·a·ρ·L_e·Φ
em,mechanics
m⁴·a³·ρ⁻¹·L_e³·Φ⁻⁶
ρ = k₀ · m⁴·a³·L_e³·Φ⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "4", "acceleration": "3", "density": "-1", "inductance": "3", "mag_flux": "-6"}
5
acceleration,conductivity,density,inductance,mass
m·a·ρ·L_e·σ
em,mechanics
m·a³·ρ⁻¹·L_e⁶·σ⁶
m = k₀ · a⁻³·ρ·L_e⁻⁶·σ⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "3", "density": "-1", "inductance": "6", "conductivity": "6"}
5
acceleration,density,inductance,mass,resistivity
m·a·ρ·L_e·ρ_e
em,mechanics
m·a³·ρ⁻¹·L_e⁶·ρ_e⁻⁶
m = k₀ · a⁻³·ρ·L_e⁻⁶·ρ_e⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "3", "density": "-1", "inductance": "6", "resistivity": "-6"}
5
acceleration,bfield,density,efield,mass
m·a·ρ·E_f·B
em,mechanics
m·a³·ρ⁻¹·E_f⁻⁶·B⁶
m = k₀ · a⁻³·ρ·E_f⁶·B⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "3", "density": "-1", "efield": "-6", "bfield": "6"}
5
acceleration,density,efield,mag_flux,mass
m·a·ρ·E_f·Φ
em,mechanics
m·a⁻¹·ρ⁻¹·E_f²·Φ⁻²
m = k₀ · a·ρ·E_f⁻²·Φ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "-1", "density": "-1", "efield": "2", "mag_flux": "-2"}
5
acceleration,density,efield,mass,permittivity
m·a·ρ·E_f·ε
em,mechanics
m·a³·ρ²·E_f⁻⁶·ε⁻³
m = k₀ · a⁻³·ρ⁻²·E_f⁶·ε³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "acceleration": "3", "density": "2", "efield": "-6", "permittivity": "-3"}
5
acceleration,density,efield,mass,permeability
m·a·ρ·E_f·μ₀
em,mechanics
m²·a⁶·ρ·E_f⁻⁶·μ₀³
ρ = k₀ · m⁻²·a⁻⁶·E_f⁶·μ₀⁻³
null
0
2
6
18
15.2
-5.7
false
{"mass": "2", "acceleration": "6", "density": "1", "efield": "-6", "permeability": "3"}
5
acceleration,conductivity,density,efield,mass
m·a·ρ·E_f·σ
em,mechanics
m·a⁹·ρ⁵·E_f⁻¹²·σ⁻⁶
m = k₀ · a⁻⁹·ρ⁻⁵·E_f¹²·σ⁶
null
0
2
12
33
28.7
-19.2
false
{"mass": "1", "acceleration": "9", "density": "5", "efield": "-12", "conductivity": "-6"}
5
acceleration,density,efield,mass,resistivity
m·a·ρ·E_f·ρ_e
em,mechanics
m·a⁹·ρ⁵·E_f⁻¹²·ρ_e⁶
m = k₀ · a⁻⁹·ρ⁻⁵·E_f¹²·ρ_e⁻⁶
null
0
2
12
33
28.7
-19.2
false
{"mass": "1", "acceleration": "9", "density": "5", "efield": "-12", "resistivity": "6"}
5
acceleration,bfield,density,mass,permeability
m·a·ρ·B·μ₀
em,mechanics
m·a³·ρ²·B⁻⁶·μ₀³
m = k₀ · a⁻³·ρ⁻²·B⁶·μ₀⁻³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "acceleration": "3", "density": "2", "bfield": "-6", "permeability": "3"}
5
acceleration,bfield,conductivity,density,mass
m·a·ρ·B·σ
em,mechanics
m·a⁻³·ρ⁻⁷·B¹²·σ⁶
m = k₀ · a³·ρ⁷·B⁻¹²·σ⁻⁶
null
0
2
12
29
25.9
-16.4
false
{"mass": "1", "acceleration": "-3", "density": "-7", "bfield": "12", "conductivity": "6"}
5
acceleration,bfield,density,mass,resistivity
m·a·ρ·B·ρ_e
em,mechanics
m·a⁻³·ρ⁻⁷·B¹²·ρ_e⁻⁶
m = k₀ · a³·ρ⁷·B⁻¹²·ρ_e⁶
null
0
2
12
29
25.9
-16.4
false
{"mass": "1", "acceleration": "-3", "density": "-7", "bfield": "12", "resistivity": "-6"}
5
acceleration,bfield,density,elem_charge,mass
m·a·ρ·B·e
constants,em,mechanics
m⁵·a³·ρ·B⁻⁶·e⁻⁶
ρ = k₀ · m⁻⁵·a⁻³·B⁶·e⁶
null
1
3
6
21
17.9
-8.9
false
{"mass": "5", "acceleration": "3", "density": "1", "bfield": "-6", "elem_charge": "-6"}
5
acceleration,density,mag_flux,mass,permeability
m·a·ρ·Φ·μ₀
em,mechanics
m⁵·a³·ρ⁻²·Φ⁻⁶·μ₀³
ρ = k₀ · m⁵ᐟ²·a³ᐟ²·Φ⁻³·μ₀³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "acceleration": "3", "density": "-2", "mag_flux": "-6", "permeability": "3"}
5
acceleration,conductivity,density,mag_flux,mass
m·a·ρ·Φ·σ
em,mechanics
m⁷·a³·ρ⁻¹·Φ⁻¹²·σ⁻⁶
ρ = k₀ · m⁷·a³·Φ⁻¹²·σ⁻⁶
null
0
2
12
29
25.9
-16.4
false
{"mass": "7", "acceleration": "3", "density": "-1", "mag_flux": "-12", "conductivity": "-6"}
5
acceleration,density,mag_flux,mass,resistivity
m·a·ρ·Φ·ρ_e
em,mechanics
m⁷·a³·ρ⁻¹·Φ⁻¹²·ρ_e⁶
ρ = k₀ · m⁷·a³·Φ⁻¹²·ρ_e⁶
null
0
2
12
29
25.9
-16.4
false
{"mass": "7", "acceleration": "3", "density": "-1", "mag_flux": "-12", "resistivity": "6"}
5
acceleration,density,elem_charge,mag_flux,mass
m·a·ρ·Φ·e
constants,em,mechanics
m³·a·ρ⁻¹·Φ⁻²·e⁻²
a = k₀ · m⁻³·ρ·Φ²·e²
null
1
3
3
9
8
1
false
{"mass": "3", "acceleration": "1", "density": "-1", "mag_flux": "-2", "elem_charge": "-2"}
5
acceleration,density,mass,permeability,permittivity
m·a·ρ·ε·μ₀
em,mechanics
m·a³·ρ⁻¹·ε³·μ₀³
m = k₀ · a⁻³·ρ·ε⁻³·μ₀⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "3", "density": "-1", "permittivity": "3", "permeability": "3"}
5
acceleration,conductivity,density,mass,permittivity
m·a·ρ·ε·σ
em,mechanics
m·a⁻³·ρ⁻¹·ε⁻⁶·σ⁶
m = k₀ · a³·ρ·ε⁶·σ⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "-3", "density": "-1", "permittivity": "-6", "conductivity": "6"}
5
acceleration,density,mass,permittivity,resistivity
m·a·ρ·ε·ρ_e
em,mechanics
m·a⁻³·ρ⁻¹·ε⁻⁶·ρ_e⁻⁶
m = k₀ · a³·ρ·ε⁶·ρ_e⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "-3", "density": "-1", "permittivity": "-6", "resistivity": "-6"}
5
acceleration,density,elem_charge,mass,permittivity
m·a·ρ·ε·e
constants,em,mechanics
m⁵·a³·ρ⁻²·ε³·e⁻⁶
ρ = k₀ · m⁵ᐟ²·a³ᐟ²·ε³ᐟ²·e⁻³
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "acceleration": "3", "density": "-2", "permittivity": "3", "elem_charge": "-6"}
5
acceleration,conductivity,density,mass,permeability
m·a·ρ·μ₀·σ
em,mechanics
m·a·ρ⁻¹·μ₀²·σ²
m = k₀ · a⁻¹·ρ·μ₀⁻²·σ⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "density": "-1", "permeability": "2", "conductivity": "2"}
5
acceleration,density,mass,permeability,resistivity
m·a·ρ·μ₀·ρ_e
em,mechanics
m·a·ρ⁻¹·μ₀²·ρ_e⁻²
m = k₀ · a⁻¹·ρ·μ₀⁻²·ρ_e²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "density": "-1", "permeability": "2", "resistivity": "-2"}
5
acceleration,conductivity,density,elem_charge,mass
m·a·ρ·σ·e
constants,em,mechanics
m¹¹·a³·ρ⁻⁵·σ⁶·e⁻¹²
a = k₀ · m⁻¹¹ᐟ³·ρ⁵ᐟ³·σ⁻²·e⁴
null
1
3
12
37
32.1
-23.1
false
{"mass": "11", "acceleration": "3", "density": "-5", "conductivity": "6", "elem_charge": "-12"}
5
acceleration,density,elem_charge,mass,resistivity
m·a·ρ·ρ_e·e
constants,em,mechanics
m¹¹·a³·ρ⁻⁵·ρ_e⁻⁶·e⁻¹²
a = k₀ · m⁻¹¹ᐟ³·ρ⁵ᐟ³·ρ_e²·e⁴
null
1
3
12
37
32.1
-23.1
false
{"mass": "11", "acceleration": "3", "density": "-5", "resistivity": "-6", "elem_charge": "-12"}
5
acceleration,amount,density,mass,molar_energy
m·a·ρ·n·E_m
chemistry,mechanics
m⁴·a³·ρ⁻¹·n⁻³·E_m⁻³
ρ = k₀ · m⁴·a³·n⁻³·E_m⁻³
null
0
2
4
14
11.4
-1.9
false
{"mass": "4", "acceleration": "3", "density": "-1", "amount": "-3", "molar_energy": "-3"}
5
acceleration,amount,cat_activity,density,mass
m·a·ρ·n·z
chemistry,mechanics
m·a⁻³·ρ⁻¹·n⁻⁶·z⁶
m = k₀ · a³·ρ·n⁶·z⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "-3", "density": "-1", "amount": "-6", "cat_activity": "6"}
5
acceleration,density,mass,molar_energy,molar_mass
m·a·ρ·M_m·E_m
chemistry,mechanics
m·a³·ρ⁻¹·M_m³·E_m⁻³
m = k₀ · a⁻³·ρ·M_m⁻³·E_m³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "3", "density": "-1", "molar_mass": "3", "molar_energy": "-3"}
5
acceleration,cat_activity,density,mass,molar_mass
m·a·ρ·M_m·z
chemistry,mechanics
m⁵·a³·ρ·M_m⁻⁶·z⁻⁶
ρ = k₀ · m⁻⁵·a⁻³·M_m⁶·z⁶
null
0
2
6
21
17.3
-7.8
false
{"mass": "5", "acceleration": "3", "density": "1", "molar_mass": "-6", "cat_activity": "-6"}
5
acceleration,concentration,density,mass,molar_energy
m·a·ρ·c_n·E_m
chemistry,mechanics
m·a³·ρ²·c_n⁻³·E_m⁻³
m = k₀ · a⁻³·ρ⁻²·c_n³·E_m³
null
0
2
3
12
9.5
0
false
{"mass": "1", "acceleration": "3", "density": "2", "concentration": "-3", "molar_energy": "-3"}
5
acceleration,cat_activity,concentration,density,mass
m·a·ρ·c_n·z
chemistry,mechanics
m⁵·a³·ρ⁻⁵·c_n⁶·z⁻⁶
a = k₀ · m⁻⁵ᐟ³·ρ⁵ᐟ³·c_n⁻²·z²
null
0
2
6
25
20.1
-10.6
false
{"mass": "5", "acceleration": "3", "density": "-5", "concentration": "6", "cat_activity": "-6"}
6
acceleration,boltzmann,density,gas_constant,mass,molar_energy
m·a·ρ·E_m·R·k_B
chemistry,constants,mechanics
m⁴·a³·ρ⁻¹·E_m⁻³·R³·k_B⁻³
ρ = k₀ · m⁴·a³·E_m⁻³·R³·k_B⁻³
null
1
3
4
17
14.4
-5.4
false
{"mass": "4", "acceleration": "3", "density": "-1", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
acceleration,cat_activity,density,mass,molar_energy
m·a·ρ·E_m·z
chemistry,mechanics
m⁷·a⁹·ρ⁻¹·E_m⁻⁶·z⁻⁶
ρ = k₀ · m⁷·a⁹·E_m⁻⁶·z⁻⁶
null
0
2
9
29
24.4
-14.9
false
{"mass": "7", "acceleration": "9", "density": "-1", "molar_energy": "-6", "cat_activity": "-6"}
5
acceleration,avogadro,density,mass,molar_energy
m·a·ρ·E_m·N_A
chemistry,constants,mechanics
m⁴·a³·ρ⁻¹·E_m⁻³·N_A³
ρ = k₀ · m⁴·a³·E_m⁻³·N_A³
null
1
3
4
14
12
-3
false
{"mass": "4", "acceleration": "3", "density": "-1", "molar_energy": "-3", "avogadro": "3"}
6
acceleration,boltzmann,cat_activity,density,gas_constant,mass
m·a·ρ·R·z·k_B
chemistry,constants,mechanics
m·a⁻³·ρ⁻¹·R⁶·z⁶·k_B⁻⁶
m = k₀ · a³·ρ·R⁻⁶·z⁻⁶·k_B⁶
null
1
3
6
23
19.6
-10.6
false
{"mass": "1", "acceleration": "-3", "density": "-1", "gas_constant": "6", "cat_activity": "6", "boltzmann": "-6"}
5
acceleration,avogadro,cat_activity,density,mass
m·a·ρ·z·N_A
chemistry,constants,mechanics
m·a⁻³·ρ⁻¹·z⁶·N_A⁶
m = k₀ · a³·ρ·z⁻⁶·N_A⁻⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "1", "acceleration": "-3", "density": "-1", "cat_activity": "6", "avogadro": "6"}
4
acceleration,density,light_speed,mass
m·a·ρ·c₀
constants,mechanics
m·a³·ρ⁻¹·c₀⁻⁶
m = k₀ · a⁻³·ρ·c₀⁶
null
1
2
6
11
10
-0.5
false
{"mass": "1", "acceleration": "3", "density": "-1", "light_speed": "-6"}
4
acceleration,density,grav_const,mass
m·a·ρ·G
constants,mechanics
m·a⁻³·ρ²·G³
m = k₀ · a³·ρ⁻²·G⁻³
null
1
2
3
9
7.1
2.4
false
{"mass": "1", "acceleration": "-3", "density": "2", "grav_const": "3"}
4
acceleration,density,mass,planck
m·a·ρ·h
constants,mechanics
m³·a·ρ⁻¹·h⁻²
a = k₀ · m⁻³·ρ·h²
null
1
2
3
7
5.7
3.8
true
{"mass": "3", "acceleration": "1", "density": "-1", "planck": "-2"}
4
acceleration,kin_viscosity,mass,viscosity
m·a·μ·ν
mechanics
m·a·μ⁻¹·ν⁻¹
m = k₀ · a⁻¹·μ·ν
null
0
1
1
4
2
8
true
{"mass": "1", "acceleration": "1", "viscosity": "-1", "kin_viscosity": "-1"}
4
acceleration,mass,omega,viscosity
m·a·μ·ω
mechanics
m·a⁻¹·μ⁻¹·ω³
m = k₀ · a·μ·ω⁻³
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "acceleration": "-1", "viscosity": "-1", "omega": "3"}
4
acceleration,frequency,mass,viscosity
m·a·μ·f
mechanics
m·a⁻¹·μ⁻¹·f³
m = k₀ · a·μ·f⁻³
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "acceleration": "-1", "viscosity": "-1", "frequency": "3"}
4
acceleration,mass,stiffness,viscosity
m·a·μ·k
mechanics
m·a²·μ²·k⁻³
m = k₀ · a⁻²·μ⁻²·k³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "acceleration": "2", "viscosity": "2", "stiffness": "-3"}
4
acceleration,mass,surf_tension,viscosity
m·a·μ·γ
mechanics
m·a²·μ²·γ⁻³
m = k₀ · a⁻²·μ⁻²·γ³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "acceleration": "2", "viscosity": "2", "surf_tension": "-3"}
4
acceleration,area,mass,viscosity
m·a·μ·A
mechanics
m⁴·a²·μ⁻⁴·A⁻³
a = k₀ · m⁻²·μ²·A³ᐟ²
null
0
1
4
13
9.8
0.2
false
{"mass": "4", "acceleration": "2", "viscosity": "-4", "area": "-3"}
4
acceleration,mass,viscosity,volume
m·a·μ·V
mechanics
m²·a·μ⁻²·V⁻¹
a = k₀ · m⁻²·μ²·V
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "acceleration": "1", "viscosity": "-2", "volume": "-1"}
4
acceleration,flowrate,mass,viscosity
m·a·μ·Q
mechanics
m⁵·a⁴·μ⁻⁵·Q⁻³
Q = k₀ · m⁵ᐟ³·a⁴ᐟ³·μ⁻⁵ᐟ³
null
0
1
5
17
13.1
-3.1
false
{"mass": "5", "acceleration": "4", "viscosity": "-5", "flowrate": "-3"}
5
acceleration,entropy,mass,temperature,viscosity
m·a·μ·Θ·S_e
mechanics,thermo
m⁵·a⁴·μ⁻²·Θ⁻³·S_e⁻³
μ = k₀ · m⁵ᐟ²·a²·Θ⁻³ᐟ²·S_e⁻³ᐟ²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "entropy": "-3"}
5
acceleration,heat_capacity,mass,temperature,viscosity
m·a·μ·Θ·C
mechanics,thermo
m⁵·a⁴·μ⁻²·Θ⁻³·C⁻³
μ = k₀ · m⁵ᐟ²·a²·Θ⁻³ᐟ²·C⁻³ᐟ²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "heat_capacity": "-3"}
5
acceleration,mass,specific_heat,temperature,viscosity
m·a·μ·Θ·c
mechanics,thermo
m²·a⁴·μ⁻²·Θ⁻³·c⁻³
m = k₀ · a⁻²·μ·Θ³ᐟ²·c³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "specific_heat": "-3"}
5
acceleration,mass,temperature,thermal_cond,viscosity
m·a·μ·Θ·κ
mechanics,thermo
m²·a⁴·μ·Θ⁻³·κ⁻³
μ = k₀ · m⁻²·a⁻⁴·Θ³·κ³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "viscosity": "1", "temperature": "-3", "thermal_cond": "-3"}
6
acceleration,amount,gas_constant,mass,temperature,viscosity
m·a·μ·Θ·n·R
chemistry,mechanics,thermo
m⁵·a⁴·μ⁻²·Θ⁻³·n⁻³·R⁻³
μ = k₀ · m⁵ᐟ²·a²·Θ⁻³ᐟ²·n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
5
20
17
-8
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,gas_constant,mass,molar_mass,temperature,viscosity
m·a·μ·Θ·M_m·R
chemistry,mechanics,thermo
m²·a⁴·μ⁻²·Θ⁻³·M_m³·R⁻³
m = k₀ · a⁻²·μ·Θ³ᐟ²·M_m⁻³ᐟ²·R³ᐟ²
null
0
3
4
17
14.4
-5.4
false
{"mass": "2", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "molar_mass": "3", "gas_constant": "-3"}
6
acceleration,concentration,gas_constant,mass,temperature,viscosity
m·a·μ·Θ·c_n·R
chemistry,mechanics,thermo
m·a⁻¹·μ⁻⁴·Θ³·c_n³·R³
m = k₀ · a·μ⁴·Θ⁻³·c_n⁻³·R⁻³
null
0
3
4
15
13
-4
false
{"mass": "1", "acceleration": "-1", "viscosity": "-4", "temperature": "3", "concentration": "3", "gas_constant": "3"}
6
acceleration,cat_activity,gas_constant,mass,temperature,viscosity
m·a·μ·Θ·R·z
chemistry,mechanics,thermo
m⁴·a⁵·μ⁻¹·Θ⁻³·R⁻³·z⁻³
μ = k₀ · m⁴·a⁵·Θ⁻³·R⁻³·z⁻³
null
0
3
5
19
16.3
-7.3
false
{"mass": "4", "acceleration": "5", "viscosity": "-1", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
6
acceleration,avogadro,gas_constant,mass,temperature,viscosity
m·a·μ·Θ·R·N_A
chemistry,constants,mechanics,thermo
m⁵·a⁴·μ⁻²·Θ⁻³·R⁻³·N_A³
μ = k₀ · m⁵ᐟ²·a²·Θ⁻³ᐟ²·R⁻³ᐟ²·N_A³ᐟ²
null
1
4
5
20
17.6
-9.1
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,boltzmann,mass,temperature,viscosity
m·a·μ·Θ·k_B
constants,mechanics,thermo
m⁵·a⁴·μ⁻²·Θ⁻³·k_B⁻³
μ = k₀ · m⁵ᐟ²·a²·Θ⁻³ᐟ²·k_B⁻³ᐟ²
null
1
3
5
17
14.6
-5.6
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "temperature": "-3", "boltzmann": "-3"}
5
acceleration,entropy,expansion,mass,viscosity
m·a·μ·S_e·β
mechanics,thermo
m⁵·a⁴·μ⁻²·S_e⁻³·β³
μ = k₀ · m⁵ᐟ²·a²·S_e⁻³ᐟ²·β³ᐟ²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "entropy": "-3", "expansion": "3"}
6
acceleration,concentration,entropy,gas_constant,mass,viscosity
m·a·μ·S_e·c_n·R
chemistry,mechanics,thermo
m²·a·μ⁻²·S_e⁻¹·c_n·R
a = k₀ · m⁻²·μ²·S_e·c_n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "1", "viscosity": "-2", "entropy": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,entropy,gas_constant,mass,molar_energy,viscosity
m·a·μ·S_e·E_m·R
chemistry,mechanics,thermo
m⁵·a⁴·μ⁻²·S_e⁻³·E_m⁻³·R³
μ = k₀ · m⁵ᐟ²·a²·S_e⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²
null
0
3
5
20
17
-8
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,cat_activity,entropy,gas_constant,mass,viscosity
m·a·μ·S_e·R·z
chemistry,mechanics,thermo
m·a⁻¹·μ⁻¹·S_e⁻³·R³·z³
m = k₀ · a·μ·S_e³·R⁻³·z⁻³
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "acceleration": "-1", "viscosity": "-1", "entropy": "-3", "gas_constant": "3", "cat_activity": "3"}
5
acceleration,expansion,heat_capacity,mass,viscosity
m·a·μ·C·β
mechanics,thermo
m⁵·a⁴·μ⁻²·C⁻³·β³
μ = k₀ · m⁵ᐟ²·a²·C⁻³ᐟ²·β³ᐟ²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "heat_capacity": "-3", "expansion": "3"}
6
acceleration,concentration,gas_constant,heat_capacity,mass,viscosity
m·a·μ·C·c_n·R
chemistry,mechanics,thermo
m²·a·μ⁻²·C⁻¹·c_n·R
a = k₀ · m⁻²·μ²·C·c_n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "1", "viscosity": "-2", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,gas_constant,heat_capacity,mass,molar_energy,viscosity
m·a·μ·C·E_m·R
chemistry,mechanics,thermo
m⁵·a⁴·μ⁻²·C⁻³·E_m⁻³·R³
μ = k₀ · m⁵ᐟ²·a²·C⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²
null
0
3
5
20
17
-8
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,cat_activity,gas_constant,heat_capacity,mass,viscosity
m·a·μ·C·R·z
chemistry,mechanics,thermo
m·a⁻¹·μ⁻¹·C⁻³·R³·z³
m = k₀ · a·μ·C³·R⁻³·z⁻³
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "acceleration": "-1", "viscosity": "-1", "heat_capacity": "-3", "gas_constant": "3", "cat_activity": "3"}
5
acceleration,expansion,mass,specific_heat,viscosity
m·a·μ·c·β
mechanics,thermo
m²·a⁴·μ⁻²·c⁻³·β³
m = k₀ · a⁻²·μ·c³ᐟ²·β⁻³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "acceleration": "4", "viscosity": "-2", "specific_heat": "-3", "expansion": "3"}
6
acceleration,concentration,gas_constant,mass,specific_heat,viscosity
m·a·μ·c·c_n·R
chemistry,mechanics,thermo
m·a·μ⁻²·c⁻¹·c_n·R
m = k₀ · a⁻¹·μ²·c·c_n⁻¹·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "1", "viscosity": "-2", "specific_heat": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_energy,specific_heat,viscosity
m·a·μ·c·E_m·R
chemistry,mechanics,thermo
m²·a⁴·μ⁻²·c⁻³·E_m⁻³·R³
m = k₀ · a⁻²·μ·c³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
4
17
14.4
-5.4
false
{"mass": "2", "acceleration": "4", "viscosity": "-2", "specific_heat": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,cat_activity,gas_constant,mass,specific_heat,viscosity
m·a·μ·c·R·z
chemistry,mechanics,thermo
m²·a·μ·c³·R⁻³·z⁻³
a = k₀ · m⁻²·μ⁻¹·c⁻³·R³·z³
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "acceleration": "1", "viscosity": "1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
acceleration,expansion,mass,thermal_cond,viscosity
m·a·μ·κ·β
mechanics,thermo
m²·a⁴·μ·κ⁻³·β³
μ = k₀ · m⁻²·a⁻⁴·κ³·β⁻³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "viscosity": "1", "thermal_cond": "-3", "expansion": "3"}
6
acceleration,concentration,gas_constant,mass,thermal_cond,viscosity
m·a·μ·κ·c_n·R
chemistry,mechanics,thermo
m·a·μ⁻¹·κ⁻¹·c_n·R
m = k₀ · a⁻¹·μ·κ·c_n⁻¹·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "viscosity": "-1", "thermal_cond": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_energy,thermal_cond,viscosity
m·a·μ·κ·E_m·R
chemistry,mechanics,thermo
m²·a⁴·μ·κ⁻³·E_m⁻³·R³
μ = k₀ · m⁻²·a⁻⁴·κ³·E_m³·R⁻³
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "acceleration": "4", "viscosity": "1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,cat_activity,gas_constant,mass,thermal_cond,viscosity
m·a·μ·κ·R·z
chemistry,mechanics,thermo
m²·a·μ⁻²·κ³·R⁻³·z⁻³
a = k₀ · m⁻²·μ²·κ⁻³·R³·z³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "acceleration": "1", "viscosity": "-2", "thermal_cond": "3", "gas_constant": "-3", "cat_activity": "-3"}
4
acceleration,mass,thermal_diff,viscosity
m·a·μ·α
mechanics,thermo
m·a·μ⁻¹·α⁻¹
m = k₀ · a⁻¹·μ·α
null
0
2
1
4
2.6
6.9
true
{"mass": "1", "acceleration": "1", "viscosity": "-1", "thermal_diff": "-1"}
6
acceleration,amount,expansion,gas_constant,mass,viscosity
m·a·μ·β·n·R
chemistry,mechanics,thermo
m⁵·a⁴·μ⁻²·β³·n⁻³·R⁻³
μ = k₀ · m⁵ᐟ²·a²·β³ᐟ²·n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
5
20
17
-8
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,expansion,gas_constant,mass,molar_mass,viscosity
m·a·μ·β·M_m·R
chemistry,mechanics,thermo
m²·a⁴·μ⁻²·β³·M_m³·R⁻³
m = k₀ · a⁻²·μ·β⁻³ᐟ²·M_m⁻³ᐟ²·R³ᐟ²
null
0
3
4
17
14.4
-5.4
false
{"mass": "2", "acceleration": "4", "viscosity": "-2", "expansion": "3", "molar_mass": "3", "gas_constant": "-3"}
6
acceleration,concentration,expansion,gas_constant,mass,viscosity
m·a·μ·β·c_n·R
chemistry,mechanics,thermo
m·a⁻¹·μ⁻⁴·β⁻³·c_n³·R³
m = k₀ · a·μ⁴·β³·c_n⁻³·R⁻³
null
0
3
4
15
13
-4
false
{"mass": "1", "acceleration": "-1", "viscosity": "-4", "expansion": "-3", "concentration": "3", "gas_constant": "3"}
6
acceleration,cat_activity,expansion,gas_constant,mass,viscosity
m·a·μ·β·R·z
chemistry,mechanics,thermo
m⁴·a⁵·μ⁻¹·β³·R⁻³·z⁻³
μ = k₀ · m⁴·a⁵·β³·R⁻³·z⁻³
null
0
3
5
19
16.3
-7.3
false
{"mass": "4", "acceleration": "5", "viscosity": "-1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
acceleration,avogadro,expansion,gas_constant,mass,viscosity
m·a·μ·β·R·N_A
chemistry,constants,mechanics,thermo
m⁵·a⁴·μ⁻²·β³·R⁻³·N_A³
μ = k₀ · m⁵ᐟ²·a²·β³ᐟ²·R⁻³ᐟ²·N_A³ᐟ²
null
1
4
5
20
17.6
-9.1
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,boltzmann,expansion,mass,viscosity
m·a·μ·β·k_B
constants,mechanics,thermo
m⁵·a⁴·μ⁻²·β³·k_B⁻³
μ = k₀ · m⁵ᐟ²·a²·β³ᐟ²·k_B⁻³ᐟ²
null
1
3
5
17
14.6
-5.6
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "expansion": "3", "boltzmann": "-3"}
5
acceleration,charge,current,mass,viscosity
m·a·μ·q·i
em,mechanics
m·a⁻¹·μ⁻¹·q⁻³·i³
m = k₀ · a·μ·q³·i⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "viscosity": "-1", "charge": "-3", "current": "3"}
5
acceleration,charge,mass,viscosity,voltage
m·a·μ·q·U
em,mechanics
m⁵·a⁴·μ⁻²·q⁻³·U⁻³
μ = k₀ · m⁵ᐟ²·a²·q⁻³ᐟ²·U⁻³ᐟ²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "charge": "-3", "voltage": "-3"}
5
acceleration,charge,mass,resistance,viscosity
m·a·μ·q·R
em,mechanics
m²·a·μ⁻¹·q⁻²·R⁻¹
a = k₀ · m⁻²·μ·q²·R
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "viscosity": "-1", "charge": "-2", "resistance": "-1"}
5
acceleration,capacitance,charge,mass,viscosity
m·a·μ·q·C_e
em,mechanics
m⁵·a⁴·μ⁻²·q⁻⁶·C_e³
μ = k₀ · m⁵ᐟ²·a²·q⁻³·C_e³ᐟ²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "4", "viscosity": "-2", "charge": "-6", "capacitance": "3"}
5
acceleration,charge,inductance,mass,viscosity
m·a·μ·q·L_e
em,mechanics
m⁷·a²·μ⁻⁴·q⁻⁶·L_e⁻³
a = k₀ · m⁻⁷ᐟ²·μ²·q³·L_e³ᐟ²
null
0
2
7
22
18.5
-9
false
{"mass": "7", "acceleration": "2", "viscosity": "-4", "charge": "-6", "inductance": "-3"}
5
acceleration,bfield,charge,mass,viscosity
m·a·μ·q·B
em,mechanics
m²·a·μ·q⁻³·B⁻³
a = k₀ · m⁻²·μ⁻¹·q³·B³
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "acceleration": "1", "viscosity": "1", "charge": "-3", "bfield": "-3"}
5
acceleration,charge,mag_flux,mass,viscosity
m·a·μ·q·Φ
em,mechanics
m²·a·μ⁻¹·q⁻¹·Φ⁻¹
a = k₀ · m⁻²·μ·q·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "2", "acceleration": "1", "viscosity": "-1", "charge": "-1", "mag_flux": "-1"}
5
acceleration,charge,mass,permittivity,viscosity
m·a·μ·q·ε
em,mechanics
m⁷·a⁵·μ⁻⁴·q⁻⁶·ε³
ε = k₀ · m⁻⁷ᐟ³·a⁻⁵ᐟ³·μ⁴ᐟ³·q²
null
0
2
7
25
20.6
-11.1
false
{"mass": "7", "acceleration": "5", "viscosity": "-4", "charge": "-6", "permittivity": "3"}