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
charge,conductivity,inertia,mass,time
m·t·J·q·σ
em,mechanics
m·t²·J⁻³·q⁴·σ⁻²
m = k₀ · t⁻²·J³·q⁻⁴·σ²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "2", "inertia": "-3", "charge": "4", "conductivity": "-2"}
5
charge,inertia,mass,resistivity,time
m·t·J·q·ρ_e
em,mechanics
m·t²·J⁻³·q⁴·ρ_e²
m = k₀ · t⁻²·J³·q⁻⁴·ρ_e⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "2", "inertia": "-3", "charge": "4", "resistivity": "2"}
5
current,efield,inertia,mass,time
m·t·J·i·E_f
em,mechanics
m·t⁻⁶·J·i⁻²·E_f⁻²
m = k₀ · t⁶·J⁻¹·i²·E_f²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "inertia": "1", "current": "-2", "efield": "-2"}
5
current,inertia,mass,permittivity,time
m·t·J·i·ε
em,mechanics
m·t⁸·J⁻³·i⁴·ε⁻²
m = k₀ · t⁻⁸·J³·i⁻⁴·ε²
null
0
2
8
18
16.2
-6.7
false
{"mass": "1", "time": "8", "inertia": "-3", "current": "4", "permittivity": "-2"}
5
current,inertia,mass,permeability,time
m·t·J·i·μ₀
em,mechanics
m·t⁻⁴·J·i⁻⁴·μ₀⁻²
m = k₀ · t⁴·J⁻¹·i⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "inertia": "1", "current": "-4", "permeability": "-2"}
5
conductivity,current,inertia,mass,time
m·t·J·i·σ
em,mechanics
m·t⁶·J⁻³·i⁴·σ⁻²
m = k₀ · t⁻⁶·J³·i⁻⁴·σ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "time": "6", "inertia": "-3", "current": "4", "conductivity": "-2"}
5
current,inertia,mass,resistivity,time
m·t·J·i·ρ_e
em,mechanics
m·t⁶·J⁻³·i⁴·ρ_e²
m = k₀ · t⁻⁶·J³·i⁻⁴·ρ_e⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "time": "6", "inertia": "-3", "current": "4", "resistivity": "2"}
5
bfield,inertia,mass,time,voltage
m·t·J·U·B
em,mechanics
m·t·J⁻¹·U·B⁻¹
m = k₀ · t⁻¹·J·U⁻¹·B
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "inertia": "-1", "voltage": "1", "bfield": "-1"}
5
inertia,mass,permittivity,time,voltage
m·t·J·U·ε
em,mechanics
m·t⁻⁴·J·U⁻⁴·ε⁻²
m = k₀ · t⁴·J⁻¹·U⁴·ε²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "inertia": "1", "voltage": "-4", "permittivity": "-2"}
5
inertia,mass,permeability,time,voltage
m·t·J·U·μ₀
em,mechanics
m·t⁸·J⁻³·U⁴·μ₀⁻²
m = k₀ · t⁻⁸·J³·U⁻⁴·μ₀²
null
0
2
8
18
16.2
-6.7
false
{"mass": "1", "time": "8", "inertia": "-3", "voltage": "4", "permeability": "-2"}
5
conductivity,inertia,mass,time,voltage
m·t·J·U·σ
em,mechanics
m·t⁻⁶·J·U⁻⁴·σ⁻²
m = k₀ · t⁶·J⁻¹·U⁴·σ²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "inertia": "1", "voltage": "-4", "conductivity": "-2"}
5
inertia,mass,resistivity,time,voltage
m·t·J·U·ρ_e
em,mechanics
m·t⁻⁶·J·U⁻⁴·ρ_e²
m = k₀ · t⁶·J⁻¹·U⁴·ρ_e⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "inertia": "1", "voltage": "-4", "resistivity": "2"}
5
bfield,inertia,mass,resistance,time
m·t·J·R·B
em,mechanics
m²·t⁻¹·J⁻¹·R·B⁻²
t = k₀ · m²·J⁻¹·R·B⁻²
null
0
2
2
7
5.5
4
true
{"mass": "2", "time": "-1", "inertia": "-1", "resistance": "1", "bfield": "-2"}
5
inertia,mass,permittivity,resistance,time
m·t·J·R·ε
em,mechanics
m·t²·J⁻¹·R⁻²·ε⁻²
m = k₀ · t⁻²·J·R²·ε²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "inertia": "-1", "resistance": "-2", "permittivity": "-2"}
5
inertia,mass,permeability,resistance,time
m·t·J·R·μ₀
em,mechanics
m·t²·J⁻¹·R²·μ₀⁻²
m = k₀ · t⁻²·J·R⁻²·μ₀²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "inertia": "-1", "resistance": "2", "permeability": "-2"}
5
capacitance,inertia,mass,permeability,time
m·t·J·C_e·μ₀
em,mechanics
m·t⁴·J⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · t⁻⁴·J·C_e²·μ₀²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "4", "inertia": "-1", "capacitance": "-2", "permeability": "-2"}
5
capacitance,conductivity,inertia,mass,time
m·t·J·C_e·σ
em,mechanics
m·t⁻²·J⁻¹·C_e²·σ⁻²
m = k₀ · t²·J·C_e⁻²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "inertia": "-1", "capacitance": "2", "conductivity": "-2"}
5
capacitance,inertia,mass,resistivity,time
m·t·J·C_e·ρ_e
em,mechanics
m·t⁻²·J⁻¹·C_e²·ρ_e²
m = k₀ · t²·J·C_e⁻²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "inertia": "-1", "capacitance": "2", "resistivity": "2"}
5
bfield,inductance,inertia,mass,time
m·t·J·L_e·B
em,mechanics
m²·t⁻²·J⁻¹·L_e·B⁻²
J = k₀ · m²·t⁻²·L_e·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "inertia": "-1", "inductance": "1", "bfield": "-2"}
5
inductance,inertia,mass,permittivity,time
m·t·J·L_e·ε
em,mechanics
m·t⁴·J⁻¹·L_e⁻²·ε⁻²
m = k₀ · t⁻⁴·J·L_e²·ε²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "4", "inertia": "-1", "inductance": "-2", "permittivity": "-2"}
5
conductivity,inductance,inertia,mass,time
m·t·J·L_e·σ
em,mechanics
m·t²·J⁻¹·L_e⁻²·σ⁻²
m = k₀ · t⁻²·J·L_e²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "inertia": "-1", "inductance": "-2", "conductivity": "-2"}
5
inductance,inertia,mass,resistivity,time
m·t·J·L_e·ρ_e
em,mechanics
m·t²·J⁻¹·L_e⁻²·ρ_e²
m = k₀ · t⁻²·J·L_e²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "inertia": "-1", "inductance": "-2", "resistivity": "2"}
5
bfield,efield,inertia,mass,time
m·t·J·E_f·B
em,mechanics
m·t²·J⁻¹·E_f²·B⁻²
m = k₀ · t⁻²·J·E_f⁻²·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "inertia": "-1", "efield": "2", "bfield": "-2"}
5
efield,inertia,mag_flux,mass,time
m·t·J·E_f·Φ
em,mechanics
m·t⁻²·J⁻¹·E_f⁻²·Φ²
m = k₀ · t²·J·E_f²·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "inertia": "-1", "efield": "-2", "mag_flux": "2"}
5
efield,inertia,mass,permittivity,time
m·t·J·E_f·ε
em,mechanics
m³·t⁻⁴·J⁻¹·E_f⁻⁴·ε⁻²
J = k₀ · m³·t⁻⁴·E_f⁻⁴·ε⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "time": "-4", "inertia": "-1", "efield": "-4", "permittivity": "-2"}
5
efield,inertia,mass,permeability,time
m·t·J·E_f·μ₀
em,mechanics
m·t⁻⁸·J·E_f⁻⁴·μ₀²
m = k₀ · t⁸·J⁻¹·E_f⁴·μ₀⁻²
null
0
2
8
16
14.8
-5.3
false
{"mass": "1", "time": "-8", "inertia": "1", "efield": "-4", "permeability": "2"}
5
conductivity,efield,inertia,mass,time
m·t·J·E_f·σ
em,mechanics
m³·t⁻⁶·J⁻¹·E_f⁻⁴·σ⁻²
J = k₀ · m³·t⁻⁶·E_f⁻⁴·σ⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-6", "inertia": "-1", "efield": "-4", "conductivity": "-2"}
5
efield,inertia,mass,resistivity,time
m·t·J·E_f·ρ_e
em,mechanics
m³·t⁻⁶·J⁻¹·E_f⁻⁴·ρ_e²
J = k₀ · m³·t⁻⁶·E_f⁻⁴·ρ_e²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-6", "inertia": "-1", "efield": "-4", "resistivity": "2"}
5
efield,elem_charge,inertia,mass,time
m·t·J·E_f·e
constants,em,mechanics
m·t⁻⁴·J·E_f⁻²·e⁻²
m = k₀ · t⁴·J⁻¹·E_f²·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "-4", "inertia": "1", "efield": "-2", "elem_charge": "-2"}
5
bfield,inertia,mass,permeability,time
m·t·J·B·μ₀
em,mechanics
m³·t⁻⁴·J⁻¹·B⁻⁴·μ₀²
J = k₀ · m³·t⁻⁴·B⁻⁴·μ₀²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "time": "-4", "inertia": "-1", "bfield": "-4", "permeability": "2"}
5
bfield,conductivity,inertia,mass,time
m·t·J·B·σ
em,mechanics
m⁵·t⁻²·J⁻³·B⁻⁴·σ⁻²
t = k₀ · m⁵ᐟ²·J⁻³ᐟ²·B⁻²·σ⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "time": "-2", "inertia": "-3", "bfield": "-4", "conductivity": "-2"}
5
bfield,inertia,mass,resistivity,time
m·t·J·B·ρ_e
em,mechanics
m⁵·t⁻²·J⁻³·B⁻⁴·ρ_e²
t = k₀ · m⁵ᐟ²·J⁻³ᐟ²·B⁻²·ρ_e
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "time": "-2", "inertia": "-3", "bfield": "-4", "resistivity": "2"}
5
inertia,mag_flux,mass,permeability,time
m·t·J·Φ·μ₀
em,mechanics
m·t⁴·J⁻³·Φ⁴·μ₀⁻²
m = k₀ · t⁻⁴·J³·Φ⁻⁴·μ₀²
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "time": "4", "inertia": "-3", "mag_flux": "4", "permeability": "-2"}
5
conductivity,inertia,mag_flux,mass,time
m·t·J·Φ·σ
em,mechanics
m·t⁻²·J·Φ⁻⁴·σ⁻²
m = k₀ · t²·J⁻¹·Φ⁴·σ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-2", "inertia": "1", "mag_flux": "-4", "conductivity": "-2"}
5
inertia,mag_flux,mass,resistivity,time
m·t·J·Φ·ρ_e
em,mechanics
m·t⁻²·J·Φ⁻⁴·ρ_e²
m = k₀ · t²·J⁻¹·Φ⁴·ρ_e⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-2", "inertia": "1", "mag_flux": "-4", "resistivity": "2"}
5
inertia,mass,permeability,permittivity,time
m·t·J·ε·μ₀
em,mechanics
m·t²·J⁻¹·ε⁻¹·μ₀⁻¹
m = k₀ · t⁻²·J·ε·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "2", "inertia": "-1", "permittivity": "-1", "permeability": "-1"}
5
elem_charge,inertia,mass,permittivity,time
m·t·J·ε·e
constants,em,mechanics
m·t⁴·J⁻³·ε⁻²·e⁴
m = k₀ · t⁻⁴·J³·ε²·e⁻⁴
null
1
3
4
14
12
-3
false
{"mass": "1", "time": "4", "inertia": "-3", "permittivity": "-2", "elem_charge": "4"}
5
conductivity,inertia,mass,permeability,time
m·t·J·μ₀·σ
em,mechanics
m·t·J⁻¹·μ₀⁻¹·σ⁻¹
m = k₀ · t⁻¹·J·μ₀·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "inertia": "-1", "permeability": "-1", "conductivity": "-1"}
5
inertia,mass,permeability,resistivity,time
m·t·J·μ₀·ρ_e
em,mechanics
m·t·J⁻¹·μ₀⁻¹·ρ_e
m = k₀ · t⁻¹·J·μ₀·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "inertia": "-1", "permeability": "-1", "resistivity": "1"}
5
conductivity,elem_charge,inertia,mass,time
m·t·J·σ·e
constants,em,mechanics
m·t²·J⁻³·σ⁻²·e⁴
m = k₀ · t⁻²·J³·σ²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "2", "inertia": "-3", "conductivity": "-2", "elem_charge": "4"}
5
elem_charge,inertia,mass,resistivity,time
m·t·J·ρ_e·e
constants,em,mechanics
m·t²·J⁻³·ρ_e²·e⁴
m = k₀ · t⁻²·J³·ρ_e⁻²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "2", "inertia": "-3", "resistivity": "2", "elem_charge": "4"}
5
inertia,mass,molar_energy,molar_mass,time
m·t·J·M_m·E_m
chemistry,mechanics
m·t²·J⁻¹·M_m⁻¹·E_m
m = k₀ · t⁻²·J·M_m·E_m⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "2", "inertia": "-1", "molar_mass": "-1", "molar_energy": "1"}
5
concentration,inertia,mass,molar_energy,time
m·t·J·c_n·E_m
chemistry,mechanics
m³·t⁻⁴·J⁻¹·c_n⁻²·E_m⁻²
J = k₀ · m³·t⁻⁴·c_n⁻²·E_m⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "time": "-4", "inertia": "-1", "concentration": "-2", "molar_energy": "-2"}
5
cat_activity,concentration,inertia,mass,time
m·t·J·c_n·z
chemistry,mechanics
m³·t²·J⁻³·c_n⁻²·z²
t = k₀ · m⁻³ᐟ²·J³ᐟ²·c_n·z⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "time": "2", "inertia": "-3", "concentration": "-2", "cat_activity": "2"}
4
inertia,light_speed,mass,time
m·t·J·c₀
constants,mechanics
m·t²·J⁻¹·c₀²
m = k₀ · t⁻²·J·c₀⁻²
null
1
2
2
6
4.5
5
true
{"mass": "1", "time": "2", "inertia": "-1", "light_speed": "2"}
4
grav_const,inertia,mass,time
m·t·J·G
constants,mechanics
m⁵·t⁴·J⁻³·G²
G = k₀ · m⁻⁵ᐟ²·t⁻²·J³ᐟ²
null
1
2
5
14
11.6
-2.1
false
{"mass": "5", "time": "4", "inertia": "-3", "grav_const": "2"}
4
density,mass,pressure,time
m·t·P_p·ρ
mechanics
m²·t⁻⁶·P_p⁻³·ρ
ρ = k₀ · m⁻²·t⁶·P_p³
null
0
1
6
12
10.1
-0.1
false
{"mass": "2", "time": "-6", "pressure": "-3", "density": "1"}
4
kin_viscosity,mass,pressure,time
m·t·P_p·ν
mechanics
m²·t⁻⁵·P_p⁻²·ν⁻¹
ν = k₀ · m²·t⁻⁵·P_p⁻²
null
0
1
5
10
8.2
1.8
false
{"mass": "2", "time": "-5", "pressure": "-2", "kin_viscosity": "-1"}
4
area,mass,pressure,time
m·t·P_p·A
mechanics
m²·t⁻⁴·P_p⁻²·A⁻¹
A = k₀ · m²·t⁻⁴·P_p⁻²
null
0
1
4
9
7
3
false
{"mass": "2", "time": "-4", "pressure": "-2", "area": "-1"}
4
mass,pressure,time,volume
m·t·P_p·V
mechanics
m³·t⁻⁶·P_p⁻³·V⁻¹
V = k₀ · m³·t⁻⁶·P_p⁻³
null
0
1
6
13
10.8
-0.8
false
{"mass": "3", "time": "-6", "pressure": "-3", "volume": "-1"}
4
flowrate,mass,pressure,time
m·t·P_p·Q
mechanics
m³·t⁻⁷·P_p⁻³·Q⁻¹
Q = k₀ · m³·t⁻⁷·P_p⁻³
null
0
1
7
14
12
-2
false
{"mass": "3", "time": "-7", "pressure": "-3", "flowrate": "-1"}
5
entropy,mass,pressure,temperature,time
m·t·P_p·Θ·S_e
mechanics,thermo
m³·t⁻⁶·P_p⁻²·Θ⁻¹·S_e⁻¹
Θ = k₀ · m³·t⁻⁶·P_p⁻²·S_e⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "temperature": "-1", "entropy": "-1"}
5
heat_capacity,mass,pressure,temperature,time
m·t·P_p·Θ·C
mechanics,thermo
m³·t⁻⁶·P_p⁻²·Θ⁻¹·C⁻¹
Θ = k₀ · m³·t⁻⁶·P_p⁻²·C⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "temperature": "-1", "heat_capacity": "-1"}
5
mass,pressure,specific_heat,temperature,time
m·t·P_p·Θ·c
mechanics,thermo
m²·t⁻⁶·P_p⁻²·Θ⁻¹·c⁻¹
Θ = k₀ · m²·t⁻⁶·P_p⁻²·c⁻¹
null
0
2
6
12
11
-1.5
false
{"mass": "2", "time": "-6", "pressure": "-2", "temperature": "-1", "specific_heat": "-1"}
5
mass,pressure,temperature,thermal_cond,time
m·t·P_p·Θ·κ
mechanics,thermo
m²·t⁻⁵·P_p⁻¹·Θ⁻¹·κ⁻¹
P_p = k₀ · m²·t⁻⁵·Θ⁻¹·κ⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "2", "time": "-5", "pressure": "-1", "temperature": "-1", "thermal_cond": "-1"}
6
amount,gas_constant,mass,pressure,temperature,time
m·t·P_p·Θ·n·R
chemistry,mechanics,thermo
m³·t⁻⁶·P_p⁻²·Θ⁻¹·n⁻¹·R⁻¹
Θ = k₀ · m³·t⁻⁶·P_p⁻²·n⁻¹·R⁻¹
null
0
3
6
14
13.3
-4.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
gas_constant,mass,molar_mass,pressure,temperature,time
m·t·P_p·Θ·M_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·P_p⁻²·Θ⁻¹·M_m·R⁻¹
Θ = k₀ · m²·t⁻⁶·P_p⁻²·M_m·R⁻¹
null
0
3
6
13
12.6
-3.6
false
{"mass": "2", "time": "-6", "pressure": "-2", "temperature": "-1", "molar_mass": "1", "gas_constant": "-1"}
6
cat_activity,gas_constant,mass,pressure,temperature,time
m·t·P_p·Θ·R·z
chemistry,mechanics,thermo
m³·t⁻⁷·P_p⁻²·Θ⁻¹·R⁻¹·z⁻¹
Θ = k₀ · m³·t⁻⁷·P_p⁻²·R⁻¹·z⁻¹
null
0
3
7
15
14.5
-5.5
false
{"mass": "3", "time": "-7", "pressure": "-2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,mass,pressure,temperature,time
m·t·P_p·Θ·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁶·P_p⁻²·Θ⁻¹·R⁻¹·N_A
Θ = k₀ · m³·t⁻⁶·P_p⁻²·R⁻¹·N_A
null
1
4
6
14
13.9
-5.4
false
{"mass": "3", "time": "-6", "pressure": "-2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,mass,pressure,temperature,time
m·t·P_p·Θ·k_B
constants,mechanics,thermo
m³·t⁻⁶·P_p⁻²·Θ⁻¹·k_B⁻¹
Θ = k₀ · m³·t⁻⁶·P_p⁻²·k_B⁻¹
null
1
3
6
13
12.3
-3.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "temperature": "-1", "boltzmann": "-1"}
5
entropy,mass,pressure,thermal_cond,time
m·t·P_p·S_e·κ
mechanics,thermo
m·t⁻¹·P_p⁻¹·S_e⁻¹·κ
m = k₀ · t·P_p·S_e·κ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "pressure": "-1", "entropy": "-1", "thermal_cond": "1"}
5
entropy,expansion,mass,pressure,time
m·t·P_p·S_e·β
mechanics,thermo
m³·t⁻⁶·P_p⁻²·S_e⁻¹·β
S_e = k₀ · m³·t⁻⁶·P_p⁻²·β
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "entropy": "-1", "expansion": "1"}
6
concentration,entropy,gas_constant,mass,pressure,time
m·t·P_p·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·P_p⁻³·S_e⁻¹·c_n·R
S_e = k₀ · m³·t⁻⁶·P_p⁻³·c_n·R
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "pressure": "-3", "entropy": "-1", "concentration": "1", "gas_constant": "1"}
6
entropy,gas_constant,mass,molar_energy,pressure,time
m·t·P_p·S_e·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁶·P_p⁻²·S_e⁻¹·E_m⁻¹·R
S_e = k₀ · m³·t⁻⁶·P_p⁻²·E_m⁻¹·R
null
0
3
6
14
13.3
-4.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
heat_capacity,mass,pressure,thermal_cond,time
m·t·P_p·C·κ
mechanics,thermo
m·t⁻¹·P_p⁻¹·C⁻¹·κ
m = k₀ · t·P_p·C·κ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "pressure": "-1", "heat_capacity": "-1", "thermal_cond": "1"}
5
expansion,heat_capacity,mass,pressure,time
m·t·P_p·C·β
mechanics,thermo
m³·t⁻⁶·P_p⁻²·C⁻¹·β
C = k₀ · m³·t⁻⁶·P_p⁻²·β
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "heat_capacity": "-1", "expansion": "1"}
6
concentration,gas_constant,heat_capacity,mass,pressure,time
m·t·P_p·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·P_p⁻³·C⁻¹·c_n·R
C = k₀ · m³·t⁻⁶·P_p⁻³·c_n·R
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "pressure": "-3", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,heat_capacity,mass,molar_energy,pressure,time
m·t·P_p·C·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁶·P_p⁻²·C⁻¹·E_m⁻¹·R
C = k₀ · m³·t⁻⁶·P_p⁻²·E_m⁻¹·R
null
0
3
6
14
13.3
-4.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,mass,pressure,specific_heat,time
m·t·P_p·c·β
mechanics,thermo
m²·t⁻⁶·P_p⁻²·c⁻¹·β
c = k₀ · m²·t⁻⁶·P_p⁻²·β
null
0
2
6
12
11
-1.5
false
{"mass": "2", "time": "-6", "pressure": "-2", "specific_heat": "-1", "expansion": "1"}
6
concentration,gas_constant,mass,pressure,specific_heat,time
m·t·P_p·c·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁶·P_p⁻³·c⁻¹·c_n·R
c = k₀ · m²·t⁻⁶·P_p⁻³·c_n·R
null
0
3
6
14
13.3
-4.3
false
{"mass": "2", "time": "-6", "pressure": "-3", "specific_heat": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,pressure,specific_heat,time
m·t·P_p·c·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·P_p⁻²·c⁻¹·E_m⁻¹·R
c = k₀ · m²·t⁻⁶·P_p⁻²·E_m⁻¹·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "2", "time": "-6", "pressure": "-2", "specific_heat": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,mass,pressure,thermal_cond,time
m·t·P_p·κ·β
mechanics,thermo
m²·t⁻⁵·P_p⁻¹·κ⁻¹·β
P_p = k₀ · m²·t⁻⁵·κ⁻¹·β
null
0
2
5
10
9.1
0.4
false
{"mass": "2", "time": "-5", "pressure": "-1", "thermal_cond": "-1", "expansion": "1"}
6
amount,gas_constant,mass,pressure,thermal_cond,time
m·t·P_p·κ·n·R
chemistry,mechanics,thermo
m·t⁻¹·P_p⁻¹·κ·n⁻¹·R⁻¹
m = k₀ · t·P_p·κ⁻¹·n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "pressure": "-1", "thermal_cond": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,gas_constant,mass,pressure,thermal_cond,time
m·t·P_p·κ·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁵·P_p⁻²·κ⁻¹·c_n·R
κ = k₀ · m²·t⁻⁵·P_p⁻²·c_n·R
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "time": "-5", "pressure": "-2", "thermal_cond": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,pressure,thermal_cond,time
m·t·P_p·κ·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁵·P_p⁻¹·κ⁻¹·E_m⁻¹·R
P_p = k₀ · m²·t⁻⁵·κ⁻¹·E_m⁻¹·R
null
0
3
5
11
10.7
-1.7
false
{"mass": "2", "time": "-5", "pressure": "-1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
cat_activity,gas_constant,mass,pressure,thermal_cond,time
m·t·P_p·κ·R·z
chemistry,mechanics,thermo
m·t⁻²·P_p⁻¹·κ·R⁻¹·z⁻¹
m = k₀ · t²·P_p·κ⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "pressure": "-1", "thermal_cond": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,mass,pressure,thermal_cond,time
m·t·P_p·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻¹·P_p⁻¹·κ·R⁻¹·N_A
m = k₀ · t·P_p·κ⁻¹·R·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "time": "-1", "pressure": "-1", "thermal_cond": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,mass,pressure,thermal_cond,time
m·t·P_p·κ·k_B
constants,mechanics,thermo
m·t⁻¹·P_p⁻¹·κ·k_B⁻¹
m = k₀ · t·P_p·κ⁻¹·k_B
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "pressure": "-1", "thermal_cond": "1", "boltzmann": "-1"}
4
mass,pressure,thermal_diff,time
m·t·P_p·α
mechanics,thermo
m²·t⁻⁵·P_p⁻²·α⁻¹
α = k₀ · m²·t⁻⁵·P_p⁻²
null
0
2
5
10
8.8
0.7
false
{"mass": "2", "time": "-5", "pressure": "-2", "thermal_diff": "-1"}
6
amount,expansion,gas_constant,mass,pressure,time
m·t·P_p·β·n·R
chemistry,mechanics,thermo
m³·t⁻⁶·P_p⁻²·β·n⁻¹·R⁻¹
β = k₀ · m⁻³·t⁶·P_p²·n·R
null
0
3
6
14
13.3
-4.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
expansion,gas_constant,mass,molar_mass,pressure,time
m·t·P_p·β·M_m·R
chemistry,mechanics,thermo
m²·t⁻⁶·P_p⁻²·β·M_m·R⁻¹
β = k₀ · m⁻²·t⁶·P_p²·M_m⁻¹·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "2", "time": "-6", "pressure": "-2", "expansion": "1", "molar_mass": "1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,mass,pressure,time
m·t·P_p·β·R·z
chemistry,mechanics,thermo
m³·t⁻⁷·P_p⁻²·β·R⁻¹·z⁻¹
β = k₀ · m⁻³·t⁷·P_p²·R·z
null
0
3
7
15
14.5
-5.5
false
{"mass": "3", "time": "-7", "pressure": "-2", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,expansion,gas_constant,mass,pressure,time
m·t·P_p·β·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁶·P_p⁻²·β·R⁻¹·N_A
β = k₀ · m⁻³·t⁶·P_p²·R·N_A⁻¹
null
1
4
6
14
13.9
-5.4
false
{"mass": "3", "time": "-6", "pressure": "-2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,expansion,mass,pressure,time
m·t·P_p·β·k_B
constants,mechanics,thermo
m³·t⁻⁶·P_p⁻²·β·k_B⁻¹
β = k₀ · m⁻³·t⁶·P_p²·k_B
null
1
3
6
13
12.3
-3.3
false
{"mass": "3", "time": "-6", "pressure": "-2", "expansion": "1", "boltzmann": "-1"}
5
charge,mass,pressure,time,voltage
m·t·P_p·q·U
em,mechanics
m³·t⁻⁶·P_p⁻²·q⁻¹·U⁻¹
q = k₀ · m³·t⁻⁶·P_p⁻²·U⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "charge": "-1", "voltage": "-1"}
5
charge,mass,pressure,resistance,time
m·t·P_p·q·R
em,mechanics
m³·t⁻⁵·P_p⁻²·q⁻²·R⁻¹
R = k₀ · m³·t⁻⁵·P_p⁻²·q⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "pressure": "-2", "charge": "-2", "resistance": "-1"}
5
capacitance,charge,mass,pressure,time
m·t·P_p·q·C_e
em,mechanics
m³·t⁻⁶·P_p⁻²·q⁻²·C_e
C_e = k₀ · m⁻³·t⁶·P_p²·q²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "pressure": "-2", "charge": "-2", "capacitance": "1"}
5
charge,inductance,mass,pressure,time
m·t·P_p·q·L_e
em,mechanics
m³·t⁻⁴·P_p⁻²·q⁻²·L_e⁻¹
L_e = k₀ · m³·t⁻⁴·P_p⁻²·q⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "time": "-4", "pressure": "-2", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,pressure,time
m·t·P_p·q·E_f
em,mechanics
m²·t⁻⁴·P_p⁻¹·q⁻¹·E_f⁻¹
P_p = k₀ · m²·t⁻⁴·q⁻¹·E_f⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "time": "-4", "pressure": "-1", "charge": "-1", "efield": "-1"}
5
charge,mag_flux,mass,pressure,time
m·t·P_p·q·Φ
em,mechanics
m³·t⁻⁵·P_p⁻²·q⁻¹·Φ⁻¹
q = k₀ · m³·t⁻⁵·P_p⁻²·Φ⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "3", "time": "-5", "pressure": "-2", "charge": "-1", "mag_flux": "-1"}
5
charge,mass,permittivity,pressure,time
m·t·P_p·q·ε
em,mechanics
m⁴·t⁻⁸·P_p⁻³·q⁻²·ε
ε = k₀ · m⁻⁴·t⁸·P_p³·q²
null
0
2
8
18
16.2
-6.7
false
{"mass": "4", "time": "-8", "pressure": "-3", "charge": "-2", "permittivity": "1"}
5
charge,mass,permeability,pressure,time
m·t·P_p·q·μ₀
em,mechanics
m²·t⁻²·P_p⁻¹·q⁻²·μ₀⁻¹
P_p = k₀ · m²·t⁻²·q⁻²·μ₀⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "pressure": "-1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,mass,pressure,time
m·t·P_p·q·σ
em,mechanics
m⁴·t⁻⁷·P_p⁻³·q⁻²·σ
σ = k₀ · m⁻⁴·t⁷·P_p³·q²
null
0
2
7
17
15
-5.5
false
{"mass": "4", "time": "-7", "pressure": "-3", "charge": "-2", "conductivity": "1"}
5
charge,mass,pressure,resistivity,time
m·t·P_p·q·ρ_e
em,mechanics
m⁴·t⁻⁷·P_p⁻³·q⁻²·ρ_e⁻¹
ρ_e = k₀ · m⁴·t⁻⁷·P_p⁻³·q⁻²
null
0
2
7
17
15
-5.5
false
{"mass": "4", "time": "-7", "pressure": "-3", "charge": "-2", "resistivity": "-1"}
5
current,mass,pressure,time,voltage
m·t·P_p·i·U
em,mechanics
m³·t⁻⁷·P_p⁻²·i⁻¹·U⁻¹
i = k₀ · m³·t⁻⁷·P_p⁻²·U⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "3", "time": "-7", "pressure": "-2", "current": "-1", "voltage": "-1"}
5
current,mass,pressure,resistance,time
m·t·P_p·i·R
em,mechanics
m³·t⁻⁷·P_p⁻²·i⁻²·R⁻¹
R = k₀ · m³·t⁻⁷·P_p⁻²·i⁻²
null
0
2
7
15
13.6
-4.1
false
{"mass": "3", "time": "-7", "pressure": "-2", "current": "-2", "resistance": "-1"}
5
capacitance,current,mass,pressure,time
m·t·P_p·i·C_e
em,mechanics
m³·t⁻⁸·P_p⁻²·i⁻²·C_e
C_e = k₀ · m⁻³·t⁸·P_p²·i²
null
0
2
8
16
14.8
-5.3
false
{"mass": "3", "time": "-8", "pressure": "-2", "current": "-2", "capacitance": "1"}
5
current,inductance,mass,pressure,time
m·t·P_p·i·L_e
em,mechanics
m³·t⁻⁶·P_p⁻²·i⁻²·L_e⁻¹
L_e = k₀ · m³·t⁻⁶·P_p⁻²·i⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "pressure": "-2", "current": "-2", "inductance": "-1"}
5
current,efield,mass,pressure,time
m·t·P_p·i·E_f
em,mechanics
m²·t⁻⁵·P_p⁻¹·i⁻¹·E_f⁻¹
P_p = k₀ · m²·t⁻⁵·i⁻¹·E_f⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "2", "time": "-5", "pressure": "-1", "current": "-1", "efield": "-1"}
5
current,mag_flux,mass,pressure,time
m·t·P_p·i·Φ
em,mechanics
m³·t⁻⁶·P_p⁻²·i⁻¹·Φ⁻¹
i = k₀ · m³·t⁻⁶·P_p⁻²·Φ⁻¹
null
0
2
6
13
11.7
-2.2
false
{"mass": "3", "time": "-6", "pressure": "-2", "current": "-1", "mag_flux": "-1"}