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
conductivity,current,force,mass,time
m·t·F·i·σ
em,mechanics
m²·t⁻³·F⁻³·i²·σ⁻¹
σ = k₀ · m²·t⁻³·F⁻³·i²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "time": "-3", "force": "-3", "current": "2", "conductivity": "-1"}
5
current,force,mass,resistivity,time
m·t·F·i·ρ_e
em,mechanics
m²·t⁻³·F⁻³·i²·ρ_e
ρ_e = k₀ · m⁻²·t³·F³·i⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "time": "-3", "force": "-3", "current": "2", "resistivity": "1"}
5
force,mass,resistance,time,voltage
m·t·F·U·R
em,mechanics
m·t⁻¹·F⁻²·U²·R⁻¹
m = k₀ · t·F²·U⁻²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "force": "-2", "voltage": "2", "resistance": "-1"}
5
capacitance,force,mass,time,voltage
m·t·F·U·C_e
em,mechanics
m·t⁻²·F⁻²·U²·C_e
m = k₀ · t²·F²·U⁻²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "force": "-2", "voltage": "2", "capacitance": "1"}
5
efield,force,mass,time,voltage
m·t·F·U·E_f
em,mechanics
m·t⁻²·F⁻¹·U·E_f⁻¹
m = k₀ · t²·F·U⁻¹·E_f
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "force": "-1", "voltage": "1", "efield": "-1"}
5
bfield,force,mass,time,voltage
m·t·F·U·B
em,mechanics
m²·t⁻³·F⁻²·U·B⁻¹
U = k₀ · m⁻²·t³·F²·B
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "force": "-2", "voltage": "1", "bfield": "-1"}
5
force,mass,permeability,time,voltage
m·t·F·U·μ₀
em,mechanics
m²·t⁻²·F⁻³·U²·μ₀⁻¹
μ₀ = k₀ · m²·t⁻²·F⁻³·U²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-2", "force": "-3", "voltage": "2", "permeability": "-1"}
5
elem_charge,force,mass,time,voltage
m·t·F·U·e
constants,em,mechanics
m·t⁻²·F⁻²·U·e
m = k₀ · t²·F²·U⁻¹·e⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "force": "-2", "voltage": "1", "elem_charge": "1"}
5
bfield,force,mass,resistance,time
m·t·F·R·B
em,mechanics
m³·t⁻⁵·F⁻²·R·B⁻²
R = k₀ · m⁻³·t⁵·F²·B²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "force": "-2", "resistance": "1", "bfield": "-2"}
5
force,mag_flux,mass,resistance,time
m·t·F·R·Φ
em,mechanics
m·t⁻³·F⁻²·R⁻¹·Φ²
m = k₀ · t³·F²·R·Φ⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "force": "-2", "resistance": "-1", "mag_flux": "2"}
5
force,mass,permittivity,resistance,time
m·t·F·R·ε
em,mechanics
m·t⁻¹·F⁻¹·R⁻¹·ε⁻¹
m = k₀ · t·F·R·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "force": "-1", "resistance": "-1", "permittivity": "-1"}
5
force,mass,permeability,resistance,time
m·t·F·R·μ₀
em,mechanics
m·t⁻¹·F⁻¹·R·μ₀⁻¹
m = k₀ · t·F·R⁻¹·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "force": "-1", "resistance": "1", "permeability": "-1"}
5
conductivity,force,mass,resistance,time
m·t·F·R·σ
em,mechanics
m·t⁻²·F⁻¹·R⁻¹·σ⁻¹
m = k₀ · t²·F·R·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "force": "-1", "resistance": "-1", "conductivity": "-1"}
5
force,mass,resistance,resistivity,time
m·t·F·R·ρ_e
em,mechanics
m·t⁻²·F⁻¹·R⁻¹·ρ_e
m = k₀ · t²·F·R·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "force": "-1", "resistance": "-1", "resistivity": "1"}
5
elem_charge,force,mass,resistance,time
m·t·F·R·e
constants,em,mechanics
m·t⁻³·F⁻²·R·e²
m = k₀ · t³·F²·R⁻¹·e⁻²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "force": "-2", "resistance": "1", "elem_charge": "2"}
5
bfield,capacitance,force,mass,time
m·t·F·C_e·B
em,mechanics
m³·t⁻⁴·F⁻²·C_e⁻¹·B⁻²
C_e = k₀ · m³·t⁻⁴·F⁻²·B⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "time": "-4", "force": "-2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,force,mag_flux,mass,time
m·t·F·C_e·Φ
em,mechanics
m·t⁻⁴·F⁻²·C_e·Φ²
m = k₀ · t⁴·F²·C_e⁻¹·Φ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "force": "-2", "capacitance": "1", "mag_flux": "2"}
5
capacitance,force,mass,permittivity,time
m·t·F·C_e·ε
em,mechanics
m·t⁻²·F⁻¹·C_e·ε⁻¹
m = k₀ · t²·F·C_e⁻¹·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "force": "-1", "capacitance": "1", "permittivity": "-1"}
5
capacitance,conductivity,force,mass,time
m·t·F·C_e·σ
em,mechanics
m·t⁻³·F⁻¹·C_e·σ⁻¹
m = k₀ · t³·F·C_e⁻¹·σ
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "force": "-1", "capacitance": "1", "conductivity": "-1"}
5
capacitance,force,mass,resistivity,time
m·t·F·C_e·ρ_e
em,mechanics
m·t⁻³·F⁻¹·C_e·ρ_e
m = k₀ · t³·F·C_e⁻¹·ρ_e⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "force": "-1", "capacitance": "1", "resistivity": "1"}
5
capacitance,elem_charge,force,mass,time
m·t·F·C_e·e
constants,em,mechanics
m·t⁻²·F⁻²·C_e⁻¹·e²
m = k₀ · t²·F²·C_e·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "-2", "force": "-2", "capacitance": "-1", "elem_charge": "2"}
5
bfield,force,inductance,mass,time
m·t·F·L_e·B
em,mechanics
m³·t⁻⁶·F⁻²·L_e·B⁻²
L_e = k₀ · m⁻³·t⁶·F²·B²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "force": "-2", "inductance": "1", "bfield": "-2"}
5
force,inductance,mag_flux,mass,time
m·t·F·L_e·Φ
em,mechanics
m·t⁻²·F⁻²·L_e⁻¹·Φ²
m = k₀ · t²·F²·L_e·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "force": "-2", "inductance": "-1", "mag_flux": "2"}
5
force,inductance,mass,permeability,time
m·t·F·L_e·μ₀
em,mechanics
m·t⁻²·F⁻¹·L_e·μ₀⁻¹
m = k₀ · t²·F·L_e⁻¹·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "force": "-1", "inductance": "1", "permeability": "-1"}
5
conductivity,force,inductance,mass,time
m·t·F·L_e·σ
em,mechanics
m·t⁻¹·F⁻¹·L_e⁻¹·σ⁻¹
m = k₀ · t·F·L_e·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "force": "-1", "inductance": "-1", "conductivity": "-1"}
5
force,inductance,mass,resistivity,time
m·t·F·L_e·ρ_e
em,mechanics
m·t⁻¹·F⁻¹·L_e⁻¹·ρ_e
m = k₀ · t·F·L_e·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "force": "-1", "inductance": "-1", "resistivity": "1"}
5
elem_charge,force,inductance,mass,time
m·t·F·L_e·e
constants,em,mechanics
m·t⁻⁴·F⁻²·L_e·e²
m = k₀ · t⁴·F²·L_e⁻¹·e⁻²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "-4", "force": "-2", "inductance": "1", "elem_charge": "2"}
5
bfield,efield,force,mass,time
m·t·F·E_f·B
em,mechanics
m·t⁻¹·F⁻¹·E_f·B⁻¹
m = k₀ · t·F·E_f⁻¹·B
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "force": "-1", "efield": "1", "bfield": "-1"}
5
efield,force,mag_flux,mass,time
m·t·F·E_f·Φ
em,mechanics
m·t⁻³·F⁻¹·E_f⁻¹·Φ
m = k₀ · t³·F·E_f·Φ⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "force": "-1", "efield": "-1", "mag_flux": "1"}
5
efield,force,mass,permittivity,time
m·t·F·E_f·ε
em,mechanics
m²·t⁻⁴·F⁻¹·E_f⁻²·ε⁻¹
F = k₀ · m²·t⁻⁴·E_f⁻²·ε⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "force": "-1", "efield": "-2", "permittivity": "-1"}
5
conductivity,efield,force,mass,time
m·t·F·E_f·σ
em,mechanics
m²·t⁻⁵·F⁻¹·E_f⁻²·σ⁻¹
F = k₀ · m²·t⁻⁵·E_f⁻²·σ⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "force": "-1", "efield": "-2", "conductivity": "-1"}
5
efield,force,mass,resistivity,time
m·t·F·E_f·ρ_e
em,mechanics
m²·t⁻⁵·F⁻¹·E_f⁻²·ρ_e
F = k₀ · m²·t⁻⁵·E_f⁻²·ρ_e
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "force": "-1", "efield": "-2", "resistivity": "1"}
5
bfield,force,mag_flux,mass,time
m·t·F·B·Φ
em,mechanics
m²·t⁻⁴·F⁻²·B⁻¹·Φ
B = k₀ · m²·t⁻⁴·F⁻²·Φ
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "force": "-2", "bfield": "-1", "mag_flux": "1"}
5
bfield,force,mass,permittivity,time
m·t·F·B·ε
em,mechanics
m⁴·t⁻⁶·F⁻³·B⁻²·ε⁻¹
ε = k₀ · m⁴·t⁻⁶·F⁻³·B⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "4", "time": "-6", "force": "-3", "bfield": "-2", "permittivity": "-1"}
5
bfield,force,mass,permeability,time
m·t·F·B·μ₀
em,mechanics
m²·t⁻⁴·F⁻¹·B⁻²·μ₀
F = k₀ · m²·t⁻⁴·B⁻²·μ₀
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "force": "-1", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,force,mass,time
m·t·F·B·σ
em,mechanics
m⁴·t⁻⁷·F⁻³·B⁻²·σ⁻¹
σ = k₀ · m⁴·t⁻⁷·F⁻³·B⁻²
null
0
2
7
17
15
-5.5
false
{"mass": "4", "time": "-7", "force": "-3", "bfield": "-2", "conductivity": "-1"}
5
bfield,force,mass,resistivity,time
m·t·F·B·ρ_e
em,mechanics
m⁴·t⁻⁷·F⁻³·B⁻²·ρ_e
ρ_e = k₀ · m⁻⁴·t⁷·F³·B²
null
0
2
7
17
15
-5.5
false
{"mass": "4", "time": "-7", "force": "-3", "bfield": "-2", "resistivity": "1"}
5
force,mag_flux,mass,permeability,time
m·t·F·Φ·μ₀
em,mechanics
m²·t⁻⁴·F⁻³·Φ²·μ₀⁻¹
μ₀ = k₀ · m²·t⁻⁴·F⁻³·Φ²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-4", "force": "-3", "mag_flux": "2", "permeability": "-1"}
5
elem_charge,force,mag_flux,mass,time
m·t·F·Φ·e
constants,em,mechanics
m·t⁻³·F⁻²·Φ·e
m = k₀ · t³·F²·Φ⁻¹·e⁻¹
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "force": "-2", "mag_flux": "1", "elem_charge": "1"}
5
force,mass,permeability,permittivity,time
m·t·F·ε·μ₀
em,mechanics
m²·t⁻²·F⁻²·ε⁻¹·μ₀⁻¹
ε = k₀ · m²·t⁻²·F⁻²·μ₀⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "force": "-2", "permittivity": "-1", "permeability": "-1"}
5
elem_charge,force,mass,permittivity,time
m·t·F·ε·e
constants,em,mechanics
m²·t⁻⁴·F⁻³·ε⁻¹·e²
ε = k₀ · m²·t⁻⁴·F⁻³·e²
null
1
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "-4", "force": "-3", "permittivity": "-1", "elem_charge": "2"}
5
conductivity,force,mass,permeability,time
m·t·F·μ₀·σ
em,mechanics
m²·t⁻³·F⁻²·μ₀⁻¹·σ⁻¹
μ₀ = k₀ · m²·t⁻³·F⁻²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "force": "-2", "permeability": "-1", "conductivity": "-1"}
5
force,mass,permeability,resistivity,time
m·t·F·μ₀·ρ_e
em,mechanics
m²·t⁻³·F⁻²·μ₀⁻¹·ρ_e
μ₀ = k₀ · m²·t⁻³·F⁻²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "force": "-2", "permeability": "-1", "resistivity": "1"}
5
conductivity,elem_charge,force,mass,time
m·t·F·σ·e
constants,em,mechanics
m²·t⁻⁵·F⁻³·σ⁻¹·e²
σ = k₀ · m²·t⁻⁵·F⁻³·e²
null
1
3
5
13
11.8
-2.8
false
{"mass": "2", "time": "-5", "force": "-3", "conductivity": "-1", "elem_charge": "2"}
5
elem_charge,force,mass,resistivity,time
m·t·F·ρ_e·e
constants,em,mechanics
m²·t⁻⁵·F⁻³·ρ_e·e²
ρ_e = k₀ · m⁻²·t⁵·F³·e⁻²
null
1
3
5
13
11.8
-2.8
false
{"mass": "2", "time": "-5", "force": "-3", "resistivity": "1", "elem_charge": "2"}
5
amount,concentration,force,mass,time
m·t·F·n·c_n
chemistry,mechanics
m³·t⁻⁶·F⁻³·n·c_n⁻¹
n = k₀ · m⁻³·t⁶·F³·c_n
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "force": "-3", "amount": "1", "concentration": "-1"}
5
amount,force,mass,molar_energy,time
m·t·F·n·E_m
chemistry,mechanics
m·t⁻²·F⁻²·n·E_m
m = k₀ · t²·F²·n⁻¹·E_m⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "amount": "1", "molar_energy": "1"}
5
concentration,force,mass,molar_mass,time
m·t·F·M_m·c_n
chemistry,mechanics
m⁴·t⁻⁶·F⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·t⁻⁶·F⁻³·c_n⁻¹
null
0
2
6
15
13.1
-3.6
false
{"mass": "4", "time": "-6", "force": "-3", "molar_mass": "-1", "concentration": "-1"}
5
force,mass,molar_energy,molar_mass,time
m·t·F·M_m·E_m
chemistry,mechanics
m²·t⁻²·F⁻²·M_m⁻¹·E_m
M_m = k₀ · m²·t⁻²·F⁻²·E_m
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "force": "-2", "molar_mass": "-1", "molar_energy": "1"}
5
concentration,force,mass,molar_energy,time
m·t·F·c_n·E_m
chemistry,mechanics
m²·t⁻⁴·F⁻¹·c_n⁻¹·E_m⁻¹
F = k₀ · m²·t⁻⁴·c_n⁻¹·E_m⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "time": "-4", "force": "-1", "concentration": "-1", "molar_energy": "-1"}
6
boltzmann,concentration,force,gas_constant,mass,time
m·t·F·c_n·R·k_B
chemistry,constants,mechanics
m³·t⁻⁶·F⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·t⁻⁶·F⁻³·R⁻¹·k_B
null
1
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "force": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
5
cat_activity,concentration,force,mass,time
m·t·F·c_n·z
chemistry,mechanics
m³·t⁻⁵·F⁻³·c_n⁻¹·z
c_n = k₀ · m³·t⁻⁵·F⁻³·z
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "force": "-3", "concentration": "-1", "cat_activity": "1"}
5
avogadro,concentration,force,mass,time
m·t·F·c_n·N_A
chemistry,constants,mechanics
m³·t⁻⁶·F⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·t⁻⁶·F⁻³·N_A⁻¹
null
1
3
6
14
13
-4
false
{"mass": "3", "time": "-6", "force": "-3", "concentration": "-1", "avogadro": "-1"}
6
boltzmann,force,gas_constant,mass,molar_energy,time
m·t·F·E_m·R·k_B
chemistry,constants,mechanics
m·t⁻²·F⁻²·E_m·R⁻¹·k_B
m = k₀ · t²·F²·E_m⁻¹·R·k_B⁻¹
null
1
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "force": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"}
5
cat_activity,force,mass,molar_energy,time
m·t·F·E_m·z
chemistry,mechanics
m·t⁻¹·F⁻²·E_m·z
m = k₀ · t·F²·E_m⁻¹·z⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "force": "-2", "molar_energy": "1", "cat_activity": "1"}
5
avogadro,force,mass,molar_energy,time
m·t·F·E_m·N_A
chemistry,constants,mechanics
m·t⁻²·F⁻²·E_m·N_A⁻¹
m = k₀ · t²·F²·E_m⁻¹·N_A
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "force": "-2", "molar_energy": "1", "avogadro": "-1"}
5
force,illuminance,lum_intensity,mass,time
m·t·F·I_v·E_v
mechanics,photometry
m²·t⁻⁴·F⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁴·F²·E_v
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "force": "-2", "lum_intensity": "1", "illuminance": "-1"}
5
force,lum_intensity,luminance,mass,time
m·t·F·I_v·L_v
mechanics,photometry
m²·t⁻⁴·F⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁴·F²·L_v
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "force": "-2", "lum_intensity": "1", "luminance": "-1"}
4
force,light_speed,mass,time
m·t·F·c₀
constants,mechanics
m·t⁻¹·F⁻¹·c₀
m = k₀ · t·F·c₀⁻¹
null
1
2
1
4
2.6
6.9
true
{"mass": "1", "time": "-1", "force": "-1", "light_speed": "1"}
4
force,grav_const,mass,time
m·t·F·G
constants,mechanics
m⁴·t⁻⁴·F⁻³·G
G = k₀ · m⁻⁴·t⁴·F³
null
1
2
4
12
9.7
-0.2
false
{"mass": "4", "time": "-4", "force": "-3", "grav_const": "1"}
4
force,mass,planck,time
m·t·F·h
constants,mechanics
m·t⁻³·F⁻²·h
m = k₀ · t³·F²·h⁻¹
null
1
2
3
7
5.7
3.8
true
{"mass": "1", "time": "-3", "force": "-2", "planck": "1"}
4
energy,mass,pressure,time
m·t·E·P_p
mechanics
m³·t⁻⁶·E⁻¹·P_p⁻²
E = k₀ · m³·t⁻⁶·P_p⁻²
null
0
1
6
12
10.1
-0.1
false
{"mass": "3", "time": "-6", "energy": "-1", "pressure": "-2"}
4
density,energy,mass,time
m·t·E·ρ
mechanics
m⁵·t⁻⁶·E⁻³·ρ⁻²
ρ = k₀ · m⁵ᐟ²·t⁻³·E⁻³ᐟ²
null
0
1
6
16
12.9
-2.9
false
{"mass": "5", "time": "-6", "energy": "-3", "density": "-2"}
4
energy,mass,time,viscosity
m·t·E·μ
mechanics
m³·t⁻⁴·E⁻¹·μ⁻²
E = k₀ · m³·t⁻⁴·μ⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "time": "-4", "energy": "-1", "viscosity": "-2"}
4
energy,kin_viscosity,mass,time
m·t·E·ν
mechanics
m·t⁻¹·E⁻¹·ν
m = k₀ · t·E·ν⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "time": "-1", "energy": "-1", "kin_viscosity": "1"}
4
area,energy,mass,time
m·t·E·A
mechanics
m·t⁻²·E⁻¹·A
m = k₀ · t²·E·A⁻¹
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "-2", "energy": "-1", "area": "1"}
4
energy,mass,time,volume
m·t·E·V
mechanics
m³·t⁻⁶·E⁻³·V²
V = k₀ · m⁻³ᐟ²·t³·E³ᐟ²
null
0
1
6
14
11.5
-1.5
false
{"mass": "3", "time": "-6", "energy": "-3", "volume": "2"}
4
energy,flowrate,mass,time
m·t·E·Q
mechanics
m³·t⁻⁴·E⁻³·Q²
Q = k₀ · m⁻³ᐟ²·t²·E³ᐟ²
null
0
1
4
12
9.1
0.9
false
{"mass": "3", "time": "-4", "energy": "-3", "flowrate": "2"}
5
energy,mass,temperature,thermal_cond,time
m·t·E·Θ·κ
mechanics,thermo
m·t⁻⁴·E·Θ⁻²·κ⁻²
m = k₀ · t⁴·E⁻¹·Θ²·κ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "energy": "1", "temperature": "-2", "thermal_cond": "-2"}
6
concentration,energy,gas_constant,mass,temperature,time
m·t·E·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·E⁻¹·Θ⁻²·c_n⁻²·R⁻²
E = k₀ · m³·t⁻⁶·Θ⁻²·c_n⁻²·R⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "energy": "-1", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
5
energy,entropy,mass,thermal_cond,time
m·t·E·S_e·κ
mechanics,thermo
m·t⁻⁴·E⁻¹·S_e²·κ⁻²
m = k₀ · t⁴·E·S_e⁻²·κ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "energy": "-1", "entropy": "2", "thermal_cond": "-2"}
6
concentration,energy,entropy,gas_constant,mass,time
m·t·E·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·E⁻³·S_e²·c_n⁻²·R⁻²
S_e = k₀ · m⁻³ᐟ²·t³·E³ᐟ²·c_n·R
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "time": "-6", "energy": "-3", "entropy": "2", "concentration": "-2", "gas_constant": "-2"}
5
energy,heat_capacity,mass,thermal_cond,time
m·t·E·C·κ
mechanics,thermo
m·t⁻⁴·E⁻¹·C²·κ⁻²
m = k₀ · t⁴·E·C⁻²·κ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "energy": "-1", "heat_capacity": "2", "thermal_cond": "-2"}
6
concentration,energy,gas_constant,heat_capacity,mass,time
m·t·E·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·E⁻³·C²·c_n⁻²·R⁻²
C = k₀ · m⁻³ᐟ²·t³·E³ᐟ²·c_n·R
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "time": "-6", "energy": "-3", "heat_capacity": "2", "concentration": "-2", "gas_constant": "-2"}
5
energy,mass,specific_heat,thermal_cond,time
m·t·E·c·κ
mechanics,thermo
m³·t⁻⁴·E⁻¹·c²·κ⁻²
E = k₀ · m³·t⁻⁴·c²·κ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "time": "-4", "energy": "-1", "specific_heat": "2", "thermal_cond": "-2"}
6
concentration,energy,gas_constant,mass,specific_heat,time
m·t·E·c·c_n·R
chemistry,mechanics,thermo
m⁵·t⁻⁶·E⁻³·c²·c_n⁻²·R⁻²
c = k₀ · m⁻⁵ᐟ²·t³·E³ᐟ²·c_n·R
null
0
3
6
20
17.5
-8.5
false
{"mass": "5", "time": "-6", "energy": "-3", "specific_heat": "2", "concentration": "-2", "gas_constant": "-2"}
5
energy,expansion,mass,thermal_cond,time
m·t·E·κ·β
mechanics,thermo
m·t⁻⁴·E·κ⁻²·β²
m = k₀ · t⁴·E⁻¹·κ²·β⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "energy": "1", "thermal_cond": "-2", "expansion": "2"}
6
amount,energy,gas_constant,mass,thermal_cond,time
m·t·E·κ·n·R
chemistry,mechanics,thermo
m·t⁻⁴·E⁻¹·κ⁻²·n²·R²
m = k₀ · t⁴·E·κ²·n⁻²·R⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "energy": "-1", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
energy,gas_constant,mass,molar_mass,thermal_cond,time
m·t·E·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻⁴·E⁻¹·κ⁻²·M_m⁻²·R²
E = k₀ · m³·t⁻⁴·κ⁻²·M_m⁻²·R²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "time": "-4", "energy": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
concentration,energy,gas_constant,mass,thermal_cond,time
m·t·E·κ·c_n·R
chemistry,mechanics,thermo
m·t⁻¹·E⁻¹·κ·c_n⁻¹·R⁻¹
m = k₀ · t·E·κ⁻¹·c_n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "energy": "-1", "thermal_cond": "1", "concentration": "-1", "gas_constant": "-1"}
6
energy,gas_constant,mass,molar_energy,thermal_cond,time
m·t·E·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻⁴·E·κ⁻²·E_m⁻²·R²
m = k₀ · t⁴·E⁻¹·κ²·E_m²·R⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "energy": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
cat_activity,energy,gas_constant,mass,thermal_cond,time
m·t·E·κ·R·z
chemistry,mechanics,thermo
m·t⁻²·E⁻¹·κ⁻²·R²·z²
m = k₀ · t²·E·κ²·R⁻²·z⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "energy": "-1", "thermal_cond": "-2", "gas_constant": "2", "cat_activity": "2"}
6
avogadro,energy,gas_constant,mass,thermal_cond,time
m·t·E·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻⁴·E⁻¹·κ⁻²·R²·N_A⁻²
m = k₀ · t⁴·E·κ²·R⁻²·N_A²
null
1
4
4
12
11.5
-3
false
{"mass": "1", "time": "-4", "energy": "-1", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
boltzmann,energy,mass,thermal_cond,time
m·t·E·κ·k_B
constants,mechanics,thermo
m·t⁻⁴·E⁻¹·κ⁻²·k_B²
m = k₀ · t⁴·E·κ²·k_B⁻²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "-4", "energy": "-1", "thermal_cond": "-2", "boltzmann": "2"}
4
energy,mass,thermal_diff,time
m·t·E·α
mechanics,thermo
m·t⁻¹·E⁻¹·α
m = k₀ · t·E·α⁻¹
null
0
2
1
4
2.6
6.9
true
{"mass": "1", "time": "-1", "energy": "-1", "thermal_diff": "1"}
6
concentration,energy,expansion,gas_constant,mass,time
m·t·E·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·E⁻¹·β²·c_n⁻²·R⁻²
E = k₀ · m³·t⁻⁶·β²·c_n⁻²·R⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "energy": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
5
charge,efield,energy,mass,time
m·t·E·q·E_f
em,mechanics
m·t⁻²·E·q⁻²·E_f⁻²
m = k₀ · t²·E⁻¹·q²·E_f²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "energy": "1", "charge": "-2", "efield": "-2"}
5
charge,energy,mass,permittivity,time
m·t·E·q·ε
em,mechanics
m·t⁻²·E⁻³·q⁴·ε⁻²
m = k₀ · t²·E³·q⁻⁴·ε²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-2", "energy": "-3", "charge": "4", "permittivity": "-2"}
5
charge,energy,mass,permeability,time
m·t·E·q·μ₀
em,mechanics
m·t²·E·q⁻⁴·μ₀⁻²
m = k₀ · t⁻²·E⁻¹·q⁴·μ₀²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "2", "energy": "1", "charge": "-4", "permeability": "-2"}
5
charge,conductivity,energy,mass,time
m·t·E·q·σ
em,mechanics
m·t⁻⁴·E⁻³·q⁴·σ⁻²
m = k₀ · t⁴·E³·q⁻⁴·σ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "time": "-4", "energy": "-3", "charge": "4", "conductivity": "-2"}
5
charge,energy,mass,resistivity,time
m·t·E·q·ρ_e
em,mechanics
m·t⁻⁴·E⁻³·q⁴·ρ_e²
m = k₀ · t⁴·E³·q⁻⁴·ρ_e⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "time": "-4", "energy": "-3", "charge": "4", "resistivity": "2"}
5
current,efield,energy,mass,time
m·t·E·i·E_f
em,mechanics
m·t⁻⁴·E·i⁻²·E_f⁻²
m = k₀ · t⁴·E⁻¹·i²·E_f²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "energy": "1", "current": "-2", "efield": "-2"}
5
current,energy,mass,permittivity,time
m·t·E·i·ε
em,mechanics
m·t²·E⁻³·i⁴·ε⁻²
m = k₀ · t⁻²·E³·i⁻⁴·ε²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "2", "energy": "-3", "current": "4", "permittivity": "-2"}
5
current,energy,mass,permeability,time
m·t·E·i·μ₀
em,mechanics
m·t⁻²·E·i⁻⁴·μ₀⁻²
m = k₀ · t²·E⁻¹·i⁴·μ₀²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-2", "energy": "1", "current": "-4", "permeability": "-2"}
5
efield,energy,mass,time,voltage
m·t·E·U·E_f
em,mechanics
m·t⁻²·E⁻¹·U²·E_f⁻²
m = k₀ · t²·E·U⁻²·E_f²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "energy": "-1", "voltage": "2", "efield": "-2"}
5
bfield,energy,mass,time,voltage
m·t·E·U·B
em,mechanics
m·t⁻¹·E⁻¹·U·B⁻¹
m = k₀ · t·E·U⁻¹·B
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "energy": "-1", "voltage": "1", "bfield": "-1"}
5
energy,mass,permittivity,time,voltage
m·t·E·U·ε
em,mechanics
m·t⁻²·E·U⁻⁴·ε⁻²
m = k₀ · t²·E⁻¹·U⁴·ε²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-2", "energy": "1", "voltage": "-4", "permittivity": "-2"}
5
energy,mass,permeability,time,voltage
m·t·E·U·μ₀
em,mechanics
m·t²·E⁻³·U⁴·μ₀⁻²
m = k₀ · t⁻²·E³·U⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "2", "energy": "-3", "voltage": "4", "permeability": "-2"}
5
conductivity,energy,mass,time,voltage
m·t·E·U·σ
em,mechanics
m·t⁻⁴·E·U⁻⁴·σ⁻²
m = k₀ · t⁴·E⁻¹·U⁴·σ²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "energy": "1", "voltage": "-4", "conductivity": "-2"}
5
energy,mass,resistivity,time,voltage
m·t·E·U·ρ_e
em,mechanics
m·t⁻⁴·E·U⁻⁴·ρ_e²
m = k₀ · t⁴·E⁻¹·U⁴·ρ_e⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "energy": "1", "voltage": "-4", "resistivity": "2"}