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
6
elem_charge,heat_capacity,mass,resistivity,temperature,time
m·t·Θ·C·ρ_e·e
constants,em,mechanics,thermo
m·t⁻⁴·Θ⁻³·C⁻³·ρ_e²·e⁴
m = k₀ · t⁴·Θ³·C³·ρ_e⁻²·e⁻⁴
null
1
4
4
17
15
-6.5
false
{"mass": "1", "time": "-4", "temperature": "-3", "heat_capacity": "-3", "resistivity": "2", "elem_charge": "4"}
6
amount,concentration,heat_capacity,mass,temperature,time
m·t·Θ·C·n·c_n
chemistry,mechanics,thermo
m³·t⁻⁶·Θ⁻³·C⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·Θ³ᐟ²·C³ᐟ²·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "time": "-6", "temperature": "-3", "heat_capacity": "-3", "amount": "2", "concentration": "-2"}
6
concentration,heat_capacity,mass,molar_mass,temperature,time
m·t·Θ·C·M_m·c_n
chemistry,mechanics,thermo
m⁵·t⁻⁶·Θ⁻³·C⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·Θ⁻³ᐟ²·C⁻³ᐟ²·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "5", "time": "-6", "temperature": "-3", "heat_capacity": "-3", "molar_mass": "-2", "concentration": "-2"}
6
concentration,heat_capacity,mass,molar_energy,temperature,time
m·t·Θ·C·c_n·E_m
chemistry,mechanics,thermo
m³·t⁻⁶·Θ⁻¹·C⁻¹·c_n⁻²·E_m⁻²
Θ = k₀ · m³·t⁻⁶·C⁻¹·c_n⁻²·E_m⁻²
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "temperature": "-1", "heat_capacity": "-1", "concentration": "-2", "molar_energy": "-2"}
6
concentration,gas_constant,heat_capacity,mass,temperature,time
m·t·Θ·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·Θ⁻³·C⁻¹·c_n⁻²·R⁻²
C = k₀ · m³·t⁻⁶·Θ⁻³·c_n⁻²·R⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "time": "-6", "temperature": "-3", "heat_capacity": "-1", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,concentration,heat_capacity,mass,temperature,time
m·t·Θ·C·c_n·z
chemistry,mechanics,thermo
m³·t⁻⁴·Θ⁻³·C⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·Θ⁻³ᐟ²·C⁻³ᐟ²·z
null
0
3
4
17
14.4
-5.4
false
{"mass": "3", "time": "-4", "temperature": "-3", "heat_capacity": "-3", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,heat_capacity,mass,temperature,time
m·t·Θ·C·c_n·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁶·Θ⁻³·C⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·Θ⁻³ᐟ²·C⁻³ᐟ²·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "time": "-6", "temperature": "-3", "heat_capacity": "-3", "concentration": "-2", "avogadro": "-2"}
6
heat_capacity,illuminance,lum_intensity,mass,temperature,time
m·t·Θ·C·I_v·E_v
mechanics,photometry,thermo
m·t⁻²·Θ⁻¹·C⁻¹·I_v·E_v⁻¹
m = k₀ · t²·Θ·C·I_v⁻¹·E_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
heat_capacity,lum_intensity,luminance,mass,temperature,time
m·t·Θ·C·I_v·L_v
mechanics,photometry,thermo
m·t⁻²·Θ⁻¹·C⁻¹·I_v·L_v⁻¹
m = k₀ · t²·Θ·C·I_v⁻¹·L_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "heat_capacity": "-1", "lum_intensity": "1", "luminance": "-1"}
5
grav_const,heat_capacity,mass,temperature,time
m·t·Θ·C·G
constants,mechanics,thermo
m⁵·t⁻²·Θ⁻³·C⁻³·G²
t = k₀ · m⁵ᐟ²·Θ⁻³ᐟ²·C⁻³ᐟ²·G
null
1
3
5
15
13.2
-4.2
false
{"mass": "5", "time": "-2", "temperature": "-3", "heat_capacity": "-3", "grav_const": "2"}
5
mass,specific_heat,temperature,thermal_cond,time
m·t·Θ·c·κ
mechanics,thermo
m²·t⁻⁴·Θ⁻¹·c·κ⁻²
Θ = k₀ · m²·t⁻⁴·c·κ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "temperature": "-1", "specific_heat": "1", "thermal_cond": "-2"}
6
charge,mass,resistance,specific_heat,temperature,time
m·t·Θ·c·q·R
em,mechanics,thermo
m·t·Θ·c·q⁻²·R⁻¹
m = k₀ · t⁻¹·Θ⁻¹·c⁻¹·q²·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "temperature": "1", "specific_heat": "1", "charge": "-2", "resistance": "-1"}
6
charge,inductance,mass,specific_heat,temperature,time
m·t·Θ·c·q·L_e
em,mechanics,thermo
m·t²·Θ·c·q⁻²·L_e⁻¹
m = k₀ · t⁻²·Θ⁻¹·c⁻¹·q²·L_e
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "temperature": "1", "specific_heat": "1", "charge": "-2", "inductance": "-1"}
6
charge,efield,mass,specific_heat,temperature,time
m·t·Θ·c·q·E_f
em,mechanics,thermo
m²·t⁻²·Θ·c·q⁻²·E_f⁻²
Θ = k₀ · m⁻²·t²·c⁻¹·q²·E_f²
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "time": "-2", "temperature": "1", "specific_heat": "1", "charge": "-2", "efield": "-2"}
6
charge,mag_flux,mass,specific_heat,temperature,time
m·t·Θ·c·q·Φ
em,mechanics,thermo
m·t·Θ·c·q⁻¹·Φ⁻¹
m = k₀ · t⁻¹·Θ⁻¹·c⁻¹·q·Φ
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "temperature": "1", "specific_heat": "1", "charge": "-1", "mag_flux": "-1"}
6
charge,mass,permittivity,specific_heat,temperature,time
m·t·Θ·c·q·ε
em,mechanics,thermo
m²·t²·Θ³·c³·q⁻⁴·ε²
m = k₀ · t⁻¹·Θ⁻³ᐟ²·c⁻³ᐟ²·q²·ε⁻¹
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "2", "temperature": "3", "specific_heat": "3", "charge": "-4", "permittivity": "2"}
6
charge,mass,permeability,specific_heat,temperature,time
m·t·Θ·c·q·μ₀
em,mechanics,thermo
m²·t²·Θ·c·q⁻⁴·μ₀⁻²
Θ = k₀ · m⁻²·t⁻²·c⁻¹·q⁴·μ₀²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "2", "temperature": "1", "specific_heat": "1", "charge": "-4", "permeability": "-2"}
6
charge,conductivity,mass,specific_heat,temperature,time
m·t·Θ·c·q·σ
em,mechanics,thermo
m²·t⁴·Θ³·c³·q⁻⁴·σ²
m = k₀ · t⁻²·Θ⁻³ᐟ²·c⁻³ᐟ²·q²·σ⁻¹
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "4", "temperature": "3", "specific_heat": "3", "charge": "-4", "conductivity": "2"}
6
charge,mass,resistivity,specific_heat,temperature,time
m·t·Θ·c·q·ρ_e
em,mechanics,thermo
m²·t⁴·Θ³·c³·q⁻⁴·ρ_e⁻²
m = k₀ · t⁻²·Θ⁻³ᐟ²·c⁻³ᐟ²·q²·ρ_e
null
0
3
4
18
15.1
-6.1
false
{"mass": "2", "time": "4", "temperature": "3", "specific_heat": "3", "charge": "-4", "resistivity": "-2"}
6
current,mass,specific_heat,temperature,time,voltage
m·t·Θ·c·i·U
em,mechanics,thermo
m·t⁻¹·Θ·c·i⁻¹·U⁻¹
m = k₀ · t·Θ⁻¹·c⁻¹·i·U
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "1", "specific_heat": "1", "current": "-1", "voltage": "-1"}
6
current,mass,resistance,specific_heat,temperature,time
m·t·Θ·c·i·R
em,mechanics,thermo
m·t⁻¹·Θ·c·i⁻²·R⁻¹
m = k₀ · t·Θ⁻¹·c⁻¹·i²·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "temperature": "1", "specific_heat": "1", "current": "-2", "resistance": "-1"}
6
capacitance,current,mass,specific_heat,temperature,time
m·t·Θ·c·i·C_e
em,mechanics,thermo
m·t⁻²·Θ·c·i⁻²·C_e
m = k₀ · t²·Θ⁻¹·c⁻¹·i²·C_e⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "temperature": "1", "specific_heat": "1", "current": "-2", "capacitance": "1"}
6
current,efield,mass,specific_heat,temperature,time
m·t·Θ·c·i·E_f
em,mechanics,thermo
m²·t⁻⁴·Θ·c·i⁻²·E_f⁻²
Θ = k₀ · m⁻²·t⁴·c⁻¹·i²·E_f²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "temperature": "1", "specific_heat": "1", "current": "-2", "efield": "-2"}
6
current,mass,permittivity,specific_heat,temperature,time
m·t·Θ·c·i·ε
em,mechanics,thermo
m²·t⁻²·Θ³·c³·i⁻⁴·ε²
m = k₀ · t·Θ⁻³ᐟ²·c⁻³ᐟ²·i²·ε⁻¹
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "temperature": "3", "specific_heat": "3", "current": "-4", "permittivity": "2"}
6
current,mass,permeability,specific_heat,temperature,time
m·t·Θ·c·i·μ₀
em,mechanics,thermo
m²·t⁻²·Θ·c·i⁻⁴·μ₀⁻²
Θ = k₀ · m⁻²·t²·c⁻¹·i⁴·μ₀²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-2", "temperature": "1", "specific_heat": "1", "current": "-4", "permeability": "-2"}
6
mass,resistance,specific_heat,temperature,time,voltage
m·t·Θ·c·U·R
em,mechanics,thermo
m·t⁻¹·Θ·c·U⁻²·R
m = k₀ · t·Θ⁻¹·c⁻¹·U²·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "temperature": "1", "specific_heat": "1", "voltage": "-2", "resistance": "1"}
6
inductance,mass,specific_heat,temperature,time,voltage
m·t·Θ·c·U·L_e
em,mechanics,thermo
m·t⁻²·Θ·c·U⁻²·L_e
m = k₀ · t²·Θ⁻¹·c⁻¹·U²·L_e⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "temperature": "1", "specific_heat": "1", "voltage": "-2", "inductance": "1"}
6
mass,permittivity,specific_heat,temperature,time,voltage
m·t·Θ·c·U·ε
em,mechanics,thermo
m²·t⁻²·Θ·c·U⁻⁴·ε⁻²
Θ = k₀ · m⁻²·t²·c⁻¹·U⁴·ε²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-2", "temperature": "1", "specific_heat": "1", "voltage": "-4", "permittivity": "-2"}
6
mass,permeability,specific_heat,temperature,time,voltage
m·t·Θ·c·U·μ₀
em,mechanics,thermo
m²·t⁻²·Θ³·c³·U⁻⁴·μ₀²
m = k₀ · t·Θ⁻³ᐟ²·c⁻³ᐟ²·U²·μ₀⁻¹
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "-2", "temperature": "3", "specific_heat": "3", "voltage": "-4", "permeability": "2"}
6
conductivity,mass,specific_heat,temperature,time,voltage
m·t·Θ·c·U·σ
em,mechanics,thermo
m²·t⁻⁴·Θ·c·U⁻⁴·σ⁻²
Θ = k₀ · m⁻²·t⁴·c⁻¹·U⁴·σ²
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "temperature": "1", "specific_heat": "1", "voltage": "-4", "conductivity": "-2"}
6
mass,resistivity,specific_heat,temperature,time,voltage
m·t·Θ·c·U·ρ_e
em,mechanics,thermo
m²·t⁻⁴·Θ·c·U⁻⁴·ρ_e²
Θ = k₀ · m⁻²·t⁴·c⁻¹·U⁴·ρ_e⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "time": "-4", "temperature": "1", "specific_heat": "1", "voltage": "-4", "resistivity": "2"}
6
bfield,mass,resistance,specific_heat,temperature,time
m·t·Θ·c·R·B
em,mechanics,thermo
m·t⁻³·Θ⁻¹·c⁻¹·R·B⁻²
m = k₀ · t³·Θ·c·R⁻¹·B²
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "time": "-3", "temperature": "-1", "specific_heat": "-1", "resistance": "1", "bfield": "-2"}
6
mag_flux,mass,resistance,specific_heat,temperature,time
m·t·Θ·c·R·Φ
em,mechanics,thermo
m·t·Θ·c·R·Φ⁻²
m = k₀ · t⁻¹·Θ⁻¹·c⁻¹·R⁻¹·Φ²
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "temperature": "1", "specific_heat": "1", "resistance": "1", "mag_flux": "-2"}
6
elem_charge,mass,resistance,specific_heat,temperature,time
m·t·Θ·c·R·e
constants,em,mechanics,thermo
m·t·Θ·c·R⁻¹·e⁻²
m = k₀ · t⁻¹·Θ⁻¹·c⁻¹·R·e²
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "1", "temperature": "1", "specific_heat": "1", "resistance": "-1", "elem_charge": "-2"}
6
bfield,capacitance,mass,specific_heat,temperature,time
m·t·Θ·c·C_e·B
em,mechanics,thermo
m·t⁻²·Θ⁻¹·c⁻¹·C_e⁻¹·B⁻²
m = k₀ · t²·Θ·c·C_e·B²
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "temperature": "-1", "specific_heat": "-1", "capacitance": "-1", "bfield": "-2"}
6
capacitance,mag_flux,mass,specific_heat,temperature,time
m·t·Θ·c·C_e·Φ
em,mechanics,thermo
m·t²·Θ·c·C_e⁻¹·Φ⁻²
m = k₀ · t⁻²·Θ⁻¹·c⁻¹·C_e·Φ²
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "temperature": "1", "specific_heat": "1", "capacitance": "-1", "mag_flux": "-2"}
6
bfield,inductance,mass,specific_heat,temperature,time
m·t·Θ·c·L_e·B
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·c⁻¹·L_e·B⁻²
m = k₀ · t⁴·Θ·c·L_e⁻¹·B²
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "temperature": "-1", "specific_heat": "-1", "inductance": "1", "bfield": "-2"}
6
elem_charge,inductance,mass,specific_heat,temperature,time
m·t·Θ·c·L_e·e
constants,em,mechanics,thermo
m·t²·Θ·c·L_e⁻¹·e⁻²
m = k₀ · t⁻²·Θ⁻¹·c⁻¹·L_e·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "2", "temperature": "1", "specific_heat": "1", "inductance": "-1", "elem_charge": "-2"}
6
efield,mass,permittivity,specific_heat,temperature,time
m·t·Θ·c·E_f·ε
em,mechanics,thermo
m²·t⁻⁶·Θ⁻¹·c⁻¹·E_f⁻⁴·ε⁻²
Θ = k₀ · m²·t⁻⁶·c⁻¹·E_f⁻⁴·ε⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "temperature": "-1", "specific_heat": "-1", "efield": "-4", "permittivity": "-2"}
6
efield,mass,permeability,specific_heat,temperature,time
m·t·Θ·c·E_f·μ₀
em,mechanics,thermo
m²·t⁻⁶·Θ·c·E_f⁻⁴·μ₀²
Θ = k₀ · m⁻²·t⁶·c⁻¹·E_f⁴·μ₀⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "temperature": "1", "specific_heat": "1", "efield": "-4", "permeability": "2"}
6
conductivity,efield,mass,specific_heat,temperature,time
m·t·Θ·c·E_f·σ
em,mechanics,thermo
m²·t⁻⁸·Θ⁻¹·c⁻¹·E_f⁻⁴·σ⁻²
Θ = k₀ · m²·t⁻⁸·c⁻¹·E_f⁻⁴·σ⁻²
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "time": "-8", "temperature": "-1", "specific_heat": "-1", "efield": "-4", "conductivity": "-2"}
6
efield,mass,resistivity,specific_heat,temperature,time
m·t·Θ·c·E_f·ρ_e
em,mechanics,thermo
m²·t⁻⁸·Θ⁻¹·c⁻¹·E_f⁻⁴·ρ_e²
Θ = k₀ · m²·t⁻⁸·c⁻¹·E_f⁻⁴·ρ_e²
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "time": "-8", "temperature": "-1", "specific_heat": "-1", "efield": "-4", "resistivity": "2"}
6
efield,elem_charge,mass,specific_heat,temperature,time
m·t·Θ·c·E_f·e
constants,em,mechanics,thermo
m²·t⁻²·Θ·c·E_f⁻²·e⁻²
Θ = k₀ · m⁻²·t²·c⁻¹·E_f²·e²
null
1
4
2
10
9.1
-0.6
false
{"mass": "2", "time": "-2", "temperature": "1", "specific_heat": "1", "efield": "-2", "elem_charge": "-2"}
6
bfield,mass,permittivity,specific_heat,temperature,time
m·t·Θ·c·B·ε
em,mechanics,thermo
m²·t⁻⁶·Θ⁻³·c⁻³·B⁻⁴·ε⁻²
m = k₀ · t³·Θ³ᐟ²·c³ᐟ²·B²·ε
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "time": "-6", "temperature": "-3", "specific_heat": "-3", "bfield": "-4", "permittivity": "-2"}
6
bfield,mass,permeability,specific_heat,temperature,time
m·t·Θ·c·B·μ₀
em,mechanics,thermo
m²·t⁻⁶·Θ⁻¹·c⁻¹·B⁻⁴·μ₀²
Θ = k₀ · m²·t⁻⁶·c⁻¹·B⁻⁴·μ₀²
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "temperature": "-1", "specific_heat": "-1", "bfield": "-4", "permeability": "2"}
6
bfield,conductivity,mass,specific_heat,temperature,time
m·t·Θ·c·B·σ
em,mechanics,thermo
m²·t⁻⁸·Θ⁻³·c⁻³·B⁻⁴·σ⁻²
m = k₀ · t⁴·Θ³ᐟ²·c³ᐟ²·B²·σ
null
0
3
8
22
19.9
-10.9
false
{"mass": "2", "time": "-8", "temperature": "-3", "specific_heat": "-3", "bfield": "-4", "conductivity": "-2"}
6
bfield,mass,resistivity,specific_heat,temperature,time
m·t·Θ·c·B·ρ_e
em,mechanics,thermo
m²·t⁻⁸·Θ⁻³·c⁻³·B⁻⁴·ρ_e²
m = k₀ · t⁴·Θ³ᐟ²·c³ᐟ²·B²·ρ_e⁻¹
null
0
3
8
22
19.9
-10.9
false
{"mass": "2", "time": "-8", "temperature": "-3", "specific_heat": "-3", "bfield": "-4", "resistivity": "2"}
6
mag_flux,mass,permittivity,specific_heat,temperature,time
m·t·Θ·c·Φ·ε
em,mechanics,thermo
m²·t²·Θ·c·Φ⁻⁴·ε⁻²
Θ = k₀ · m⁻²·t⁻²·c⁻¹·Φ⁴·ε²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "2", "temperature": "1", "specific_heat": "1", "mag_flux": "-4", "permittivity": "-2"}
6
mag_flux,mass,permeability,specific_heat,temperature,time
m·t·Θ·c·Φ·μ₀
em,mechanics,thermo
m²·t²·Θ³·c³·Φ⁻⁴·μ₀²
m = k₀ · t⁻¹·Θ⁻³ᐟ²·c⁻³ᐟ²·Φ²·μ₀⁻¹
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "time": "2", "temperature": "3", "specific_heat": "3", "mag_flux": "-4", "permeability": "2"}
6
elem_charge,mag_flux,mass,specific_heat,temperature,time
m·t·Θ·c·Φ·e
constants,em,mechanics,thermo
m·t·Θ·c·Φ⁻¹·e⁻¹
m = k₀ · t⁻¹·Θ⁻¹·c⁻¹·Φ·e
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "time": "1", "temperature": "1", "specific_heat": "1", "mag_flux": "-1", "elem_charge": "-1"}
6
elem_charge,mass,permittivity,specific_heat,temperature,time
m·t·Θ·c·ε·e
constants,em,mechanics,thermo
m²·t²·Θ³·c³·ε²·e⁻⁴
m = k₀ · t⁻¹·Θ⁻³ᐟ²·c⁻³ᐟ²·ε⁻¹·e²
null
1
4
4
16
14.3
-5.8
false
{"mass": "2", "time": "2", "temperature": "3", "specific_heat": "3", "permittivity": "2", "elem_charge": "-4"}
6
elem_charge,mass,permeability,specific_heat,temperature,time
m·t·Θ·c·μ₀·e
constants,em,mechanics,thermo
m²·t²·Θ·c·μ₀⁻²·e⁻⁴
Θ = k₀ · m⁻²·t⁻²·c⁻¹·μ₀²·e⁴
null
1
4
4
12
11.5
-3
false
{"mass": "2", "time": "2", "temperature": "1", "specific_heat": "1", "permeability": "-2", "elem_charge": "-4"}
6
conductivity,elem_charge,mass,specific_heat,temperature,time
m·t·Θ·c·σ·e
constants,em,mechanics,thermo
m²·t⁴·Θ³·c³·σ²·e⁻⁴
m = k₀ · t⁻²·Θ⁻³ᐟ²·c⁻³ᐟ²·σ⁻¹·e²
null
1
4
4
18
15.7
-7.2
false
{"mass": "2", "time": "4", "temperature": "3", "specific_heat": "3", "conductivity": "2", "elem_charge": "-4"}
6
elem_charge,mass,resistivity,specific_heat,temperature,time
m·t·Θ·c·ρ_e·e
constants,em,mechanics,thermo
m²·t⁴·Θ³·c³·ρ_e⁻²·e⁻⁴
m = k₀ · t⁻²·Θ⁻³ᐟ²·c⁻³ᐟ²·ρ_e·e²
null
1
4
4
18
15.7
-7.2
false
{"mass": "2", "time": "4", "temperature": "3", "specific_heat": "3", "resistivity": "-2", "elem_charge": "-4"}
6
concentration,mass,molar_mass,specific_heat,temperature,time
m·t·Θ·c·M_m·c_n
chemistry,mechanics,thermo
m²·t⁻⁶·Θ⁻³·c⁻³·M_m⁻²·c_n⁻²
m = k₀ · t³·Θ³ᐟ²·c³ᐟ²·M_m·c_n
null
0
3
6
18
16.1
-7.1
false
{"mass": "2", "time": "-6", "temperature": "-3", "specific_heat": "-3", "molar_mass": "-2", "concentration": "-2"}
6
concentration,mass,molar_energy,specific_heat,temperature,time
m·t·Θ·c·c_n·E_m
chemistry,mechanics,thermo
m²·t⁻⁶·Θ⁻¹·c⁻¹·c_n⁻²·E_m⁻²
Θ = k₀ · m²·t⁻⁶·c⁻¹·c_n⁻²·E_m⁻²
null
0
3
6
14
13.3
-4.3
false
{"mass": "2", "time": "-6", "temperature": "-1", "specific_heat": "-1", "concentration": "-2", "molar_energy": "-2"}
6
concentration,gas_constant,mass,specific_heat,temperature,time
m·t·Θ·c·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁶·Θ⁻³·c⁻¹·c_n⁻²·R⁻²
c = k₀ · m²·t⁻⁶·Θ⁻³·c_n⁻²·R⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "time": "-6", "temperature": "-3", "specific_heat": "-1", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,mass,molar_energy,specific_heat,temperature,time
m·t·Θ·c·E_m·z
chemistry,mechanics,thermo
m·t⁻¹·Θ·c·E_m⁻¹·z⁻¹
m = k₀ · t·Θ⁻¹·c⁻¹·E_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "1", "specific_heat": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,mass,specific_heat,temperature,time
m·t·Θ·c·G
constants,mechanics,thermo
m²·t⁻²·Θ⁻³·c⁻³·G²
m = k₀ · t·Θ³ᐟ²·c³ᐟ²·G⁻¹
null
1
3
3
12
10.1
-1.1
false
{"mass": "2", "time": "-2", "temperature": "-3", "specific_heat": "-3", "grav_const": "2"}
5
mass,planck,specific_heat,temperature,time
m·t·Θ·c·h
constants,mechanics,thermo
m·t·Θ·c·h⁻¹
m = k₀ · t⁻¹·Θ⁻¹·c⁻¹·h
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "1", "temperature": "1", "specific_heat": "1", "planck": "-1"}
5
mass,temperature,thermal_cond,thermal_diff,time
m·t·Θ·κ·α
mechanics,thermo
m²·t⁻⁵·Θ⁻²·κ⁻²·α
α = k₀ · m⁻²·t⁵·Θ²·κ²
null
0
2
5
12
10.5
-1
false
{"mass": "2", "time": "-5", "temperature": "-2", "thermal_cond": "-2", "thermal_diff": "1"}
6
charge,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·q·U
em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·q·U
m = k₀ · t⁴·Θ²·κ²·q⁻¹·U⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "charge": "1", "voltage": "1"}
6
charge,mass,resistance,temperature,thermal_cond,time
m·t·Θ·κ·q·R
em,mechanics,thermo
m·t⁻⁵·Θ⁻²·κ⁻²·q²·R
m = k₀ · t⁵·Θ²·κ²·q⁻²·R⁻¹
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "temperature": "-2", "thermal_cond": "-2", "charge": "2", "resistance": "1"}
6
capacitance,charge,mass,temperature,thermal_cond,time
m·t·Θ·κ·q·C_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·q²·C_e⁻¹
m = k₀ · t⁴·Θ²·κ²·q⁻²·C_e
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "charge": "2", "capacitance": "-1"}
6
charge,inductance,mass,temperature,thermal_cond,time
m·t·Θ·κ·q·L_e
em,mechanics,thermo
m·t⁻⁶·Θ⁻²·κ⁻²·q²·L_e
m = k₀ · t⁶·Θ²·κ²·q⁻²·L_e⁻¹
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "time": "-6", "temperature": "-2", "thermal_cond": "-2", "charge": "2", "inductance": "1"}
6
charge,mag_flux,mass,temperature,thermal_cond,time
m·t·Θ·κ·q·Φ
em,mechanics,thermo
m·t⁻⁵·Θ⁻²·κ⁻²·q·Φ
m = k₀ · t⁵·Θ²·κ²·q⁻¹·Φ⁻¹
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "time": "-5", "temperature": "-2", "thermal_cond": "-2", "charge": "1", "mag_flux": "1"}
6
charge,mass,permittivity,temperature,thermal_cond,time
m·t·Θ·κ·q·ε
em,mechanics,thermo
m²·t⁻⁷·Θ⁻³·κ⁻³·q²·ε⁻¹
ε = k₀ · m²·t⁻⁷·Θ⁻³·κ⁻³·q²
null
0
3
7
18
16.6
-7.6
false
{"mass": "2", "time": "-7", "temperature": "-3", "thermal_cond": "-3", "charge": "2", "permittivity": "-1"}
6
charge,conductivity,mass,temperature,thermal_cond,time
m·t·Θ·κ·q·σ
em,mechanics,thermo
m²·t⁻⁸·Θ⁻³·κ⁻³·q²·σ⁻¹
σ = k₀ · m²·t⁻⁸·Θ⁻³·κ⁻³·q²
null
0
3
8
19
17.8
-8.8
false
{"mass": "2", "time": "-8", "temperature": "-3", "thermal_cond": "-3", "charge": "2", "conductivity": "-1"}
6
charge,mass,resistivity,temperature,thermal_cond,time
m·t·Θ·κ·q·ρ_e
em,mechanics,thermo
m²·t⁻⁸·Θ⁻³·κ⁻³·q²·ρ_e
ρ_e = k₀ · m⁻²·t⁸·Θ³·κ³·q⁻²
null
0
3
8
19
17.8
-8.8
false
{"mass": "2", "time": "-8", "temperature": "-3", "thermal_cond": "-3", "charge": "2", "resistivity": "1"}
6
current,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·i·U
em,mechanics,thermo
m·t⁻³·Θ⁻²·κ⁻²·i·U
m = k₀ · t³·Θ²·κ²·i⁻¹·U⁻¹
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "temperature": "-2", "thermal_cond": "-2", "current": "1", "voltage": "1"}
6
current,mass,resistance,temperature,thermal_cond,time
m·t·Θ·κ·i·R
em,mechanics,thermo
m·t⁻³·Θ⁻²·κ⁻²·i²·R
m = k₀ · t³·Θ²·κ²·i⁻²·R⁻¹
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "temperature": "-2", "thermal_cond": "-2", "current": "2", "resistance": "1"}
6
capacitance,current,mass,temperature,thermal_cond,time
m·t·Θ·κ·i·C_e
em,mechanics,thermo
m·t⁻²·Θ⁻²·κ⁻²·i²·C_e⁻¹
m = k₀ · t²·Θ²·κ²·i⁻²·C_e
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "temperature": "-2", "thermal_cond": "-2", "current": "2", "capacitance": "-1"}
6
current,inductance,mass,temperature,thermal_cond,time
m·t·Θ·κ·i·L_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·i²·L_e
m = k₀ · t⁴·Θ²·κ²·i⁻²·L_e⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "current": "2", "inductance": "1"}
6
current,mag_flux,mass,temperature,thermal_cond,time
m·t·Θ·κ·i·Φ
em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·i·Φ
m = k₀ · t⁴·Θ²·κ²·i⁻¹·Φ⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "current": "1", "mag_flux": "1"}
6
current,mass,permittivity,temperature,thermal_cond,time
m·t·Θ·κ·i·ε
em,mechanics,thermo
m²·t⁻⁵·Θ⁻³·κ⁻³·i²·ε⁻¹
ε = k₀ · m²·t⁻⁵·Θ⁻³·κ⁻³·i²
null
0
3
5
16
14.2
-5.2
false
{"mass": "2", "time": "-5", "temperature": "-3", "thermal_cond": "-3", "current": "2", "permittivity": "-1"}
6
conductivity,current,mass,temperature,thermal_cond,time
m·t·Θ·κ·i·σ
em,mechanics,thermo
m²·t⁻⁶·Θ⁻³·κ⁻³·i²·σ⁻¹
σ = k₀ · m²·t⁻⁶·Θ⁻³·κ⁻³·i²
null
0
3
6
17
15.4
-6.4
false
{"mass": "2", "time": "-6", "temperature": "-3", "thermal_cond": "-3", "current": "2", "conductivity": "-1"}
6
current,mass,resistivity,temperature,thermal_cond,time
m·t·Θ·κ·i·ρ_e
em,mechanics,thermo
m²·t⁻⁶·Θ⁻³·κ⁻³·i²·ρ_e
ρ_e = k₀ · m⁻²·t⁶·Θ³·κ³·i⁻²
null
0
3
6
17
15.4
-6.4
false
{"mass": "2", "time": "-6", "temperature": "-3", "thermal_cond": "-3", "current": "2", "resistivity": "1"}
6
mass,resistance,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·R
em,mechanics,thermo
m·t⁻³·Θ⁻²·κ⁻²·U²·R⁻¹
m = k₀ · t³·Θ²·κ²·U⁻²·R
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "temperature": "-2", "thermal_cond": "-2", "voltage": "2", "resistance": "-1"}
6
capacitance,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·C_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·U²·C_e
m = k₀ · t⁴·Θ²·κ²·U⁻²·C_e⁻¹
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "voltage": "2", "capacitance": "1"}
6
inductance,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·L_e
em,mechanics,thermo
m·t⁻²·Θ⁻²·κ⁻²·U²·L_e⁻¹
m = k₀ · t²·Θ²·κ²·U⁻²·L_e
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "temperature": "-2", "thermal_cond": "-2", "voltage": "2", "inductance": "-1"}
6
efield,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·E_f
em,mechanics,thermo
m·t⁻³·Θ⁻¹·κ⁻¹·U·E_f⁻¹
m = k₀ · t³·Θ·κ·U⁻¹·E_f
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "temperature": "-1", "thermal_cond": "-1", "voltage": "1", "efield": "-1"}
6
bfield,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·B
em,mechanics,thermo
m²·t⁻⁵·Θ⁻²·κ⁻²·U·B⁻¹
U = k₀ · m⁻²·t⁵·Θ²·κ²·B
null
0
3
5
13
12.1
-3.1
false
{"mass": "2", "time": "-5", "temperature": "-2", "thermal_cond": "-2", "voltage": "1", "bfield": "-1"}
6
mass,permeability,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·μ₀
em,mechanics,thermo
m²·t⁻⁵·Θ⁻³·κ⁻³·U²·μ₀⁻¹
μ₀ = k₀ · m²·t⁻⁵·Θ⁻³·κ⁻³·U²
null
0
3
5
16
14.2
-5.2
false
{"mass": "2", "time": "-5", "temperature": "-3", "thermal_cond": "-3", "voltage": "2", "permeability": "-1"}
6
elem_charge,mass,temperature,thermal_cond,time,voltage
m·t·Θ·κ·U·e
constants,em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·U·e
m = k₀ · t⁴·Θ²·κ²·U⁻¹·e⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "voltage": "1", "elem_charge": "1"}
6
bfield,mass,resistance,temperature,thermal_cond,time
m·t·Θ·κ·R·B
em,mechanics,thermo
m³·t⁻⁷·Θ⁻²·κ⁻²·R·B⁻²
R = k₀ · m⁻³·t⁷·Θ²·κ²·B²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "time": "-7", "temperature": "-2", "thermal_cond": "-2", "resistance": "1", "bfield": "-2"}
6
mag_flux,mass,resistance,temperature,thermal_cond,time
m·t·Θ·κ·R·Φ
em,mechanics,thermo
m·t⁻⁵·Θ⁻²·κ⁻²·R⁻¹·Φ²
m = k₀ · t⁵·Θ²·κ²·R·Φ⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "temperature": "-2", "thermal_cond": "-2", "resistance": "-1", "mag_flux": "2"}
6
mass,permittivity,resistance,temperature,thermal_cond,time
m·t·Θ·κ·R·ε
em,mechanics,thermo
m·t⁻²·Θ⁻¹·κ⁻¹·R⁻¹·ε⁻¹
m = k₀ · t²·Θ·κ·R·ε
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "thermal_cond": "-1", "resistance": "-1", "permittivity": "-1"}
6
mass,permeability,resistance,temperature,thermal_cond,time
m·t·Θ·κ·R·μ₀
em,mechanics,thermo
m·t⁻²·Θ⁻¹·κ⁻¹·R·μ₀⁻¹
m = k₀ · t²·Θ·κ·R⁻¹·μ₀
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "temperature": "-1", "thermal_cond": "-1", "resistance": "1", "permeability": "-1"}
6
conductivity,mass,resistance,temperature,thermal_cond,time
m·t·Θ·κ·R·σ
em,mechanics,thermo
m·t⁻³·Θ⁻¹·κ⁻¹·R⁻¹·σ⁻¹
m = k₀ · t³·Θ·κ·R·σ
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "temperature": "-1", "thermal_cond": "-1", "resistance": "-1", "conductivity": "-1"}
6
mass,resistance,resistivity,temperature,thermal_cond,time
m·t·Θ·κ·R·ρ_e
em,mechanics,thermo
m·t⁻³·Θ⁻¹·κ⁻¹·R⁻¹·ρ_e
m = k₀ · t³·Θ·κ·R·ρ_e⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "temperature": "-1", "thermal_cond": "-1", "resistance": "-1", "resistivity": "1"}
6
elem_charge,mass,resistance,temperature,thermal_cond,time
m·t·Θ·κ·R·e
constants,em,mechanics,thermo
m·t⁻⁵·Θ⁻²·κ⁻²·R·e²
m = k₀ · t⁵·Θ²·κ²·R⁻¹·e⁻²
null
1
4
5
13
12.7
-4.2
false
{"mass": "1", "time": "-5", "temperature": "-2", "thermal_cond": "-2", "resistance": "1", "elem_charge": "2"}
6
bfield,capacitance,mass,temperature,thermal_cond,time
m·t·Θ·κ·C_e·B
em,mechanics,thermo
m³·t⁻⁶·Θ⁻²·κ⁻²·C_e⁻¹·B⁻²
C_e = k₀ · m³·t⁻⁶·Θ⁻²·κ⁻²·B⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "temperature": "-2", "thermal_cond": "-2", "capacitance": "-1", "bfield": "-2"}
6
capacitance,mag_flux,mass,temperature,thermal_cond,time
m·t·Θ·κ·C_e·Φ
em,mechanics,thermo
m·t⁻⁶·Θ⁻²·κ⁻²·C_e·Φ²
m = k₀ · t⁶·Θ²·κ²·C_e⁻¹·Φ⁻²
null
0
3
6
14
13.3
-4.3
false
{"mass": "1", "time": "-6", "temperature": "-2", "thermal_cond": "-2", "capacitance": "1", "mag_flux": "2"}
6
capacitance,mass,permittivity,temperature,thermal_cond,time
m·t·Θ·κ·C_e·ε
em,mechanics,thermo
m·t⁻³·Θ⁻¹·κ⁻¹·C_e·ε⁻¹
m = k₀ · t³·Θ·κ·C_e⁻¹·ε
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "temperature": "-1", "thermal_cond": "-1", "capacitance": "1", "permittivity": "-1"}
6
capacitance,mass,permeability,temperature,thermal_cond,time
m·t·Θ·κ·C_e·μ₀
em,mechanics,thermo
m·t⁻¹·Θ⁻¹·κ⁻¹·C_e⁻¹·μ₀⁻¹
m = k₀ · t·Θ·κ·C_e·μ₀
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-1", "permeability": "-1"}
6
capacitance,conductivity,mass,temperature,thermal_cond,time
m·t·Θ·κ·C_e·σ
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·κ⁻¹·C_e·σ⁻¹
m = k₀ · t⁴·Θ·κ·C_e⁻¹·σ
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "thermal_cond": "-1", "capacitance": "1", "conductivity": "-1"}
6
capacitance,mass,resistivity,temperature,thermal_cond,time
m·t·Θ·κ·C_e·ρ_e
em,mechanics,thermo
m·t⁻⁴·Θ⁻¹·κ⁻¹·C_e·ρ_e
m = k₀ · t⁴·Θ·κ·C_e⁻¹·ρ_e⁻¹
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "temperature": "-1", "thermal_cond": "-1", "capacitance": "1", "resistivity": "1"}
6
capacitance,elem_charge,mass,temperature,thermal_cond,time
m·t·Θ·κ·C_e·e
constants,em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·C_e⁻¹·e²
m = k₀ · t⁴·Θ²·κ²·C_e·e⁻²
null
1
4
4
12
11.5
-3
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "capacitance": "-1", "elem_charge": "2"}
6
bfield,inductance,mass,temperature,thermal_cond,time
m·t·Θ·κ·L_e·B
em,mechanics,thermo
m³·t⁻⁸·Θ⁻²·κ⁻²·L_e·B⁻²
L_e = k₀ · m⁻³·t⁸·Θ²·κ²·B²
null
0
3
8
18
17.1
-8.1
false
{"mass": "3", "time": "-8", "temperature": "-2", "thermal_cond": "-2", "inductance": "1", "bfield": "-2"}
6
inductance,mag_flux,mass,temperature,thermal_cond,time
m·t·Θ·κ·L_e·Φ
em,mechanics,thermo
m·t⁻⁴·Θ⁻²·κ⁻²·L_e⁻¹·Φ²
m = k₀ · t⁴·Θ²·κ²·L_e·Φ⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "time": "-4", "temperature": "-2", "thermal_cond": "-2", "inductance": "-1", "mag_flux": "2"}