Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
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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
gravity,mass,resistance,time,voltage
m·t·g·U·R
em,mechanics
m·t·g²·U⁻²·R
m = k₀ · t⁻¹·g⁻²·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "gravity": "2", "voltage": "-2", "resistance": "1"}
5
capacitance,gravity,mass,time,voltage
m·t·g·U·C_e
em,mechanics
m·t²·g²·U⁻²·C_e⁻¹
m = k₀ · t⁻²·g⁻²·U²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "gravity": "2", "voltage": "-2", "capacitance": "-1"}
5
gravity,mass,permeability,time,voltage
m·t·g·U·μ₀
em,mechanics
m·t²·g³·U⁻²·μ₀
m = k₀ · t⁻²·g⁻³·U²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "gravity": "3", "voltage": "-2", "permeability": "1"}
5
conductivity,gravity,mass,time,voltage
m·t·g·U·σ
em,mechanics
m·t⁻¹·g·U⁻²·σ⁻¹
m = k₀ · t·g⁻¹·U²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "gravity": "1", "voltage": "-2", "conductivity": "-1"}
5
gravity,mass,resistivity,time,voltage
m·t·g·U·ρ_e
em,mechanics
m·t⁻¹·g·U⁻²·ρ_e
m = k₀ · t·g⁻¹·U²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "gravity": "1", "voltage": "-2", "resistivity": "1"}
5
elem_charge,gravity,mass,time,voltage
m·t·g·U·e
constants,em,mechanics
m·t²·g²·U⁻¹·e⁻¹
m = k₀ · t⁻²·g⁻²·U·e
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "gravity": "2", "voltage": "-1", "elem_charge": "-1"}
5
bfield,gravity,mass,resistance,time
m·t·g·R·B
em,mechanics
m·t⁻⁵·g⁻²·R·B⁻²
m = k₀ · t⁵·g²·R⁻¹·B²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "gravity": "-2", "resistance": "1", "bfield": "-2"}
5
gravity,mag_flux,mass,resistance,time
m·t·g·R·Φ
em,mechanics
m·t³·g²·R·Φ⁻²
m = k₀ · t⁻³·g⁻²·R⁻¹·Φ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "gravity": "2", "resistance": "1", "mag_flux": "-2"}
5
elem_charge,gravity,mass,resistance,time
m·t·g·R·e
constants,em,mechanics
m·t³·g²·R⁻¹·e⁻²
m = k₀ · t⁻³·g⁻²·R·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "3", "gravity": "2", "resistance": "-1", "elem_charge": "-2"}
5
bfield,capacitance,gravity,mass,time
m·t·g·C_e·B
em,mechanics
m·t⁻⁴·g⁻²·C_e⁻¹·B⁻²
m = k₀ · t⁴·g²·C_e·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "gravity": "-2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,gravity,mag_flux,mass,time
m·t·g·C_e·Φ
em,mechanics
m·t⁴·g²·C_e⁻¹·Φ⁻²
m = k₀ · t⁻⁴·g⁻²·C_e·Φ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "4", "gravity": "2", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,elem_charge,gravity,mass,time
m·t·g·C_e·e
constants,em,mechanics
m·t²·g²·C_e·e⁻²
m = k₀ · t⁻²·g⁻²·C_e⁻¹·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "2", "gravity": "2", "capacitance": "1", "elem_charge": "-2"}
5
bfield,gravity,inductance,mass,time
m·t·g·L_e·B
em,mechanics
m·t⁻⁶·g⁻²·L_e·B⁻²
m = k₀ · t⁶·g²·L_e⁻¹·B²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "gravity": "-2", "inductance": "1", "bfield": "-2"}
5
gravity,inductance,mag_flux,mass,time
m·t·g·L_e·Φ
em,mechanics
m·t²·g²·L_e·Φ⁻²
m = k₀ · t⁻²·g⁻²·L_e⁻¹·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "gravity": "2", "inductance": "1", "mag_flux": "-2"}
5
elem_charge,gravity,inductance,mass,time
m·t·g·L_e·e
constants,em,mechanics
m·t⁴·g²·L_e⁻¹·e⁻²
m = k₀ · t⁻⁴·g⁻²·L_e·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "4", "gravity": "2", "inductance": "-1", "elem_charge": "-2"}
5
efield,gravity,mass,permittivity,time
m·t·g·E_f·ε
em,mechanics
m·t⁻⁴·g⁻¹·E_f⁻²·ε⁻¹
m = k₀ · t⁴·g·E_f²·ε
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "gravity": "-1", "efield": "-2", "permittivity": "-1"}
5
efield,gravity,mass,permeability,time
m·t·g·E_f·μ₀
em,mechanics
m·t⁻²·g·E_f⁻²·μ₀
m = k₀ · t²·g⁻¹·E_f²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "gravity": "1", "efield": "-2", "permeability": "1"}
5
conductivity,efield,gravity,mass,time
m·t·g·E_f·σ
em,mechanics
m·t⁻⁵·g⁻¹·E_f⁻²·σ⁻¹
m = k₀ · t⁵·g·E_f²·σ
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "time": "-5", "gravity": "-1", "efield": "-2", "conductivity": "-1"}
5
efield,gravity,mass,resistivity,time
m·t·g·E_f·ρ_e
em,mechanics
m·t⁻⁵·g⁻¹·E_f⁻²·ρ_e
m = k₀ · t⁵·g·E_f²·ρ_e⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "time": "-5", "gravity": "-1", "efield": "-2", "resistivity": "1"}
5
bfield,gravity,mass,permittivity,time
m·t·g·B·ε
em,mechanics
m·t⁻⁶·g⁻³·B⁻²·ε⁻¹
m = k₀ · t⁶·g³·B²·ε
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "time": "-6", "gravity": "-3", "bfield": "-2", "permittivity": "-1"}
5
bfield,gravity,mass,permeability,time
m·t·g·B·μ₀
em,mechanics
m·t⁻⁴·g⁻¹·B⁻²·μ₀
m = k₀ · t⁴·g·B²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "gravity": "-1", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,gravity,mass,time
m·t·g·B·σ
em,mechanics
m·t⁻⁷·g⁻³·B⁻²·σ⁻¹
m = k₀ · t⁷·g³·B²·σ
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "time": "-7", "gravity": "-3", "bfield": "-2", "conductivity": "-1"}
5
bfield,gravity,mass,resistivity,time
m·t·g·B·ρ_e
em,mechanics
m·t⁻⁷·g⁻³·B⁻²·ρ_e
m = k₀ · t⁷·g³·B²·ρ_e⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "time": "-7", "gravity": "-3", "bfield": "-2", "resistivity": "1"}
5
gravity,mag_flux,mass,permittivity,time
m·t·g·Φ·ε
em,mechanics
m·t²·g·Φ⁻²·ε⁻¹
m = k₀ · t⁻²·g⁻¹·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "1", "mag_flux": "-2", "permittivity": "-1"}
5
gravity,mag_flux,mass,permeability,time
m·t·g·Φ·μ₀
em,mechanics
m·t⁴·g³·Φ⁻²·μ₀
m = k₀ · t⁻⁴·g⁻³·Φ²·μ₀⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "4", "gravity": "3", "mag_flux": "-2", "permeability": "1"}
5
conductivity,gravity,mag_flux,mass,time
m·t·g·Φ·σ
em,mechanics
m·t·g·Φ⁻²·σ⁻¹
m = k₀ · t⁻¹·g⁻¹·Φ²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "gravity": "1", "mag_flux": "-2", "conductivity": "-1"}
5
gravity,mag_flux,mass,resistivity,time
m·t·g·Φ·ρ_e
em,mechanics
m·t·g·Φ⁻²·ρ_e
m = k₀ · t⁻¹·g⁻¹·Φ²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "gravity": "1", "mag_flux": "-2", "resistivity": "1"}
5
elem_charge,gravity,mag_flux,mass,time
m·t·g·Φ·e
constants,em,mechanics
m·t³·g²·Φ⁻¹·e⁻¹
m = k₀ · t⁻³·g⁻²·Φ·e
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "3", "gravity": "2", "mag_flux": "-1", "elem_charge": "-1"}
5
elem_charge,gravity,mass,permittivity,time
m·t·g·ε·e
constants,em,mechanics
m·t⁴·g³·ε·e⁻²
m = k₀ · t⁻⁴·g⁻³·ε⁻¹·e²
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "4", "gravity": "3", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,gravity,mass,permeability,time
m·t·g·μ₀·e
constants,em,mechanics
m·t²·g·μ₀⁻¹·e⁻²
m = k₀ · t⁻²·g⁻¹·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "gravity": "1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,gravity,mass,time
m·t·g·σ·e
constants,em,mechanics
m·t⁵·g³·σ·e⁻²
m = k₀ · t⁻⁵·g⁻³·σ⁻¹·e²
null
1
3
5
12
11.1
-2.1
false
{"mass": "1", "time": "5", "gravity": "3", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,gravity,mass,resistivity,time
m·t·g·ρ_e·e
constants,em,mechanics
m·t⁵·g³·ρ_e⁻¹·e⁻²
m = k₀ · t⁻⁵·g⁻³·ρ_e·e²
null
1
3
5
12
11.1
-2.1
false
{"mass": "1", "time": "5", "gravity": "3", "resistivity": "-1", "elem_charge": "-2"}
5
amount,gravity,mass,molar_energy,time
m·t·g·n·E_m
chemistry,mechanics
m·t²·g²·n⁻¹·E_m⁻¹
m = k₀ · t⁻²·g⁻²·n·E_m
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "amount": "-1", "molar_energy": "-1"}
5
concentration,gravity,mass,molar_mass,time
m·t·g·M_m·c_n
chemistry,mechanics
m·t⁻⁶·g⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁶·g³·M_m·c_n
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "gravity": "-3", "molar_mass": "-1", "concentration": "-1"}
5
concentration,gravity,mass,molar_energy,time
m·t·g·c_n·E_m
chemistry,mechanics
m·t⁻⁴·g⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t⁴·g·c_n·E_m
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "time": "-4", "gravity": "-1", "concentration": "-1", "molar_energy": "-1"}
6
boltzmann,gas_constant,gravity,mass,molar_energy,time
m·t·g·E_m·R·k_B
chemistry,constants,mechanics
m·t²·g²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁻²·g⁻²·E_m·R⁻¹·k_B
null
1
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "gravity": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
cat_activity,gravity,mass,molar_energy,time
m·t·g·E_m·z
chemistry,mechanics
m·t·g²·E_m⁻¹·z⁻¹
m = k₀ · t⁻¹·g⁻²·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "gravity": "2", "molar_energy": "-1", "cat_activity": "-1"}
5
avogadro,gravity,mass,molar_energy,time
m·t·g·E_m·N_A
chemistry,constants,mechanics
m·t²·g²·E_m⁻¹·N_A
m = k₀ · t⁻²·g⁻²·E_m·N_A⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "gravity": "2", "molar_energy": "-1", "avogadro": "1"}
4
grav_const,gravity,mass,time
m·t·g·G
constants,mechanics
m·t⁻⁴·g⁻³·G
m = k₀ · t⁴·g³·G⁻¹
null
1
2
4
9
7.6
1.9
false
{"mass": "1", "time": "-4", "gravity": "-3", "grav_const": "1"}
4
gravity,mass,planck,time
m·t·g·h
constants,mechanics
m·t³·g²·h⁻¹
m = k₀ · t⁻³·g⁻²·h
null
1
2
3
7
5.7
3.8
true
{"mass": "1", "time": "3", "gravity": "2", "planck": "-1"}
4
energy,force,mass,time
m·t·F·E
mechanics
m·t⁻²·F⁻²·E
m = k₀ · t²·F²·E⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "-2", "force": "-2", "energy": "1"}
4
force,mass,time,torque
m·t·F·τ
mechanics
m·t⁻²·F⁻²·τ
m = k₀ · t²·F²·τ⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "-2", "force": "-2", "torque": "1"}
4
force,mass,power,time
m·t·F·P
mechanics
m·t⁻¹·F⁻²·P
m = k₀ · t·F²·P⁻¹
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "-1", "force": "-2", "power": "1"}
4
ang_momentum,force,mass,time
m·t·F·Lₐ
mechanics
m·t⁻³·F⁻²·Lₐ
m = k₀ · t³·F²·Lₐ⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "time": "-3", "force": "-2", "ang_momentum": "1"}
4
action,force,mass,time
m·t·F·S
mechanics
m·t⁻³·F⁻²·S
m = k₀ · t³·F²·S⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "time": "-3", "force": "-2", "action": "1"}
4
force,inertia,mass,time
m·t·F·J
mechanics
m·t⁻⁴·F⁻²·J
m = k₀ · t⁴·F²·J⁻¹
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "time": "-4", "force": "-2", "inertia": "1"}
4
force,mass,pressure,time
m·t·F·P_p
mechanics
m²·t⁻⁴·F⁻¹·P_p⁻¹
F = k₀ · m²·t⁻⁴·P_p⁻¹
null
0
1
4
8
6.3
3.7
false
{"mass": "2", "time": "-4", "force": "-1", "pressure": "-1"}
4
density,force,mass,time
m·t·F·ρ
mechanics
m⁴·t⁻⁶·F⁻³·ρ⁻¹
ρ = k₀ · m⁴·t⁻⁶·F⁻³
null
0
1
6
14
11.5
-1.5
false
{"mass": "4", "time": "-6", "force": "-3", "density": "-1"}
4
force,mass,time,viscosity
m·t·F·μ
mechanics
m²·t⁻³·F⁻¹·μ⁻¹
F = k₀ · m²·t⁻³·μ⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "2", "time": "-3", "force": "-1", "viscosity": "-1"}
4
force,kin_viscosity,mass,time
m·t·F·ν
mechanics
m²·t⁻³·F⁻²·ν
ν = k₀ · m⁻²·t³·F²
null
0
1
3
8
5.8
4.2
true
{"mass": "2", "time": "-3", "force": "-2", "kin_viscosity": "1"}
4
area,force,mass,time
m·t·F·A
mechanics
m²·t⁻⁴·F⁻²·A
A = k₀ · m⁻²·t⁴·F²
null
0
1
4
9
7
3
false
{"mass": "2", "time": "-4", "force": "-2", "area": "1"}
4
force,mass,time,volume
m·t·F·V
mechanics
m³·t⁻⁶·F⁻³·V
V = k₀ · m⁻³·t⁶·F³
null
0
1
6
13
10.8
-0.8
false
{"mass": "3", "time": "-6", "force": "-3", "volume": "1"}
4
flowrate,force,mass,time
m·t·F·Q
mechanics
m³·t⁻⁵·F⁻³·Q
Q = k₀ · m⁻³·t⁵·F³
null
0
1
5
12
9.6
0.4
false
{"mass": "3", "time": "-5", "force": "-3", "flowrate": "1"}
5
entropy,force,mass,temperature,time
m·t·F·Θ·S_e
mechanics,thermo
m·t⁻²·F⁻²·Θ·S_e
m = k₀ · t²·F²·Θ⁻¹·S_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "temperature": "1", "entropy": "1"}
5
force,heat_capacity,mass,temperature,time
m·t·F·Θ·C
mechanics,thermo
m·t⁻²·F⁻²·Θ·C
m = k₀ · t²·F²·Θ⁻¹·C⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "temperature": "1", "heat_capacity": "1"}
5
force,mass,specific_heat,temperature,time
m·t·F·Θ·c
mechanics,thermo
m²·t⁻²·F⁻²·Θ·c
Θ = k₀ · m⁻²·t²·F²·c⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "force": "-2", "temperature": "1", "specific_heat": "1"}
6
amount,force,gas_constant,mass,temperature,time
m·t·F·Θ·n·R
chemistry,mechanics,thermo
m·t⁻²·F⁻²·Θ·n·R
m = k₀ · t²·F²·Θ⁻¹·n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "force": "-2", "temperature": "1", "amount": "1", "gas_constant": "1"}
6
force,gas_constant,mass,molar_mass,temperature,time
m·t·F·Θ·M_m·R
chemistry,mechanics,thermo
m²·t⁻²·F⁻²·Θ·M_m⁻¹·R
Θ = k₀ · m⁻²·t²·F²·M_m·R⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "force": "-2", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,force,gas_constant,mass,temperature,time
m·t·F·Θ·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁴·F⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
F = k₀ · m²·t⁻⁴·Θ⁻¹·c_n⁻¹·R⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "time": "-4", "force": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,force,gas_constant,mass,temperature,time
m·t·F·Θ·R·z
chemistry,mechanics,thermo
m·t⁻¹·F⁻²·Θ·R·z
m = k₀ · t·F²·Θ⁻¹·R⁻¹·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "force": "-2", "temperature": "1", "gas_constant": "1", "cat_activity": "1"}
6
avogadro,force,gas_constant,mass,temperature,time
m·t·F·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻²·F⁻²·Θ·R·N_A⁻¹
m = k₀ · t²·F²·Θ⁻¹·R⁻¹·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "-2", "force": "-2", "temperature": "1", "gas_constant": "1", "avogadro": "-1"}
5
boltzmann,force,mass,temperature,time
m·t·F·Θ·k_B
constants,mechanics,thermo
m·t⁻²·F⁻²·Θ·k_B
m = k₀ · t²·F²·Θ⁻¹·k_B⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "force": "-2", "temperature": "1", "boltzmann": "1"}
5
entropy,force,mass,thermal_cond,time
m·t·F·S_e·κ
mechanics,thermo
m·t⁻³·F⁻¹·S_e·κ⁻¹
m = k₀ · t³·F·S_e⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "force": "-1", "entropy": "1", "thermal_cond": "-1"}
5
entropy,expansion,force,mass,time
m·t·F·S_e·β
mechanics,thermo
m·t⁻²·F⁻²·S_e·β⁻¹
m = k₀ · t²·F²·S_e⁻¹·β
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "entropy": "1", "expansion": "-1"}
6
concentration,entropy,force,gas_constant,mass,time
m·t·F·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·F⁻³·S_e·c_n⁻¹·R⁻¹
S_e = k₀ · m⁻³·t⁶·F³·c_n·R
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "force": "-3", "entropy": "1", "concentration": "-1", "gas_constant": "-1"}
6
entropy,force,gas_constant,mass,molar_energy,time
m·t·F·S_e·E_m·R
chemistry,mechanics,thermo
m·t⁻²·F⁻²·S_e·E_m·R⁻¹
m = k₀ · t²·F²·S_e⁻¹·E_m⁻¹·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "force": "-2", "entropy": "1", "molar_energy": "1", "gas_constant": "-1"}
5
force,heat_capacity,mass,thermal_cond,time
m·t·F·C·κ
mechanics,thermo
m·t⁻³·F⁻¹·C·κ⁻¹
m = k₀ · t³·F·C⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "force": "-1", "heat_capacity": "1", "thermal_cond": "-1"}
5
expansion,force,heat_capacity,mass,time
m·t·F·C·β
mechanics,thermo
m·t⁻²·F⁻²·C·β⁻¹
m = k₀ · t²·F²·C⁻¹·β
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "heat_capacity": "1", "expansion": "-1"}
6
concentration,force,gas_constant,heat_capacity,mass,time
m·t·F·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁶·F⁻³·C·c_n⁻¹·R⁻¹
C = k₀ · m⁻³·t⁶·F³·c_n·R
null
0
3
6
15
14
-5
false
{"mass": "3", "time": "-6", "force": "-3", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"}
6
force,gas_constant,heat_capacity,mass,molar_energy,time
m·t·F·C·E_m·R
chemistry,mechanics,thermo
m·t⁻²·F⁻²·C·E_m·R⁻¹
m = k₀ · t²·F²·C⁻¹·E_m⁻¹·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "force": "-2", "heat_capacity": "1", "molar_energy": "1", "gas_constant": "-1"}
5
force,mass,specific_heat,thermal_cond,time
m·t·F·c·κ
mechanics,thermo
m²·t⁻³·F⁻¹·c·κ⁻¹
F = k₀ · m²·t⁻³·c·κ⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "time": "-3", "force": "-1", "specific_heat": "1", "thermal_cond": "-1"}
5
expansion,force,mass,specific_heat,time
m·t·F·c·β
mechanics,thermo
m²·t⁻²·F⁻²·c·β⁻¹
c = k₀ · m⁻²·t²·F²·β
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "force": "-2", "specific_heat": "1", "expansion": "-1"}
6
concentration,force,gas_constant,mass,specific_heat,time
m·t·F·c·c_n·R
chemistry,mechanics,thermo
m⁴·t⁻⁶·F⁻³·c·c_n⁻¹·R⁻¹
c = k₀ · m⁻⁴·t⁶·F³·c_n·R
null
0
3
6
16
14.7
-5.7
false
{"mass": "4", "time": "-6", "force": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
force,gas_constant,mass,molar_energy,specific_heat,time
m·t·F·c·E_m·R
chemistry,mechanics,thermo
m²·t⁻²·F⁻²·c·E_m·R⁻¹
c = k₀ · m⁻²·t²·F²·E_m⁻¹·R
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "force": "-2", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"}
6
amount,force,gas_constant,mass,thermal_cond,time
m·t·F·κ·n·R
chemistry,mechanics,thermo
m·t⁻³·F⁻¹·κ⁻¹·n·R
m = k₀ · t³·F·κ·n⁻¹·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "force": "-1", "thermal_cond": "-1", "amount": "1", "gas_constant": "1"}
6
force,gas_constant,mass,molar_mass,thermal_cond,time
m·t·F·κ·M_m·R
chemistry,mechanics,thermo
m²·t⁻³·F⁻¹·κ⁻¹·M_m⁻¹·R
F = k₀ · m²·t⁻³·κ⁻¹·M_m⁻¹·R
null
0
3
3
9
8.3
0.7
false
{"mass": "2", "time": "-3", "force": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,force,gas_constant,mass,thermal_cond,time
m·t·F·κ·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·F⁻²·κ·c_n⁻¹·R⁻¹
κ = k₀ · m⁻²·t³·F²·c_n·R
null
0
3
3
10
9
0
false
{"mass": "2", "time": "-3", "force": "-2", "thermal_cond": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,force,gas_constant,mass,thermal_cond,time
m·t·F·κ·R·z
chemistry,mechanics,thermo
m·t⁻²·F⁻¹·κ⁻¹·R·z
m = k₀ · t²·F·κ·R⁻¹·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "force": "-1", "thermal_cond": "-1", "gas_constant": "1", "cat_activity": "1"}
6
avogadro,force,gas_constant,mass,thermal_cond,time
m·t·F·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻³·F⁻¹·κ⁻¹·R·N_A⁻¹
m = k₀ · t³·F·κ·R⁻¹·N_A
null
1
4
3
8
8.2
0.3
false
{"mass": "1", "time": "-3", "force": "-1", "thermal_cond": "-1", "gas_constant": "1", "avogadro": "-1"}
5
boltzmann,force,mass,thermal_cond,time
m·t·F·κ·k_B
constants,mechanics,thermo
m·t⁻³·F⁻¹·κ⁻¹·k_B
m = k₀ · t³·F·κ·k_B⁻¹
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "time": "-3", "force": "-1", "thermal_cond": "-1", "boltzmann": "1"}
4
force,mass,thermal_diff,time
m·t·F·α
mechanics,thermo
m²·t⁻³·F⁻²·α
α = k₀ · m⁻²·t³·F²
null
0
2
3
8
6.4
3.1
true
{"mass": "2", "time": "-3", "force": "-2", "thermal_diff": "1"}
6
amount,expansion,force,gas_constant,mass,time
m·t·F·β·n·R
chemistry,mechanics,thermo
m·t⁻²·F⁻²·β⁻¹·n·R
m = k₀ · t²·F²·β·n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "force": "-2", "expansion": "-1", "amount": "1", "gas_constant": "1"}
6
expansion,force,gas_constant,mass,molar_mass,time
m·t·F·β·M_m·R
chemistry,mechanics,thermo
m²·t⁻²·F⁻²·β⁻¹·M_m⁻¹·R
β = k₀ · m²·t⁻²·F⁻²·M_m⁻¹·R
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "time": "-2", "force": "-2", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,expansion,force,gas_constant,mass,time
m·t·F·β·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁴·F⁻¹·β·c_n⁻¹·R⁻¹
F = k₀ · m²·t⁻⁴·β·c_n⁻¹·R⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "time": "-4", "force": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,force,gas_constant,mass,time
m·t·F·β·R·z
chemistry,mechanics,thermo
m·t⁻¹·F⁻²·β⁻¹·R·z
m = k₀ · t·F²·β·R⁻¹·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-1", "force": "-2", "expansion": "-1", "gas_constant": "1", "cat_activity": "1"}
6
avogadro,expansion,force,gas_constant,mass,time
m·t·F·β·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻²·F⁻²·β⁻¹·R·N_A⁻¹
m = k₀ · t²·F²·β·R⁻¹·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "-2", "force": "-2", "expansion": "-1", "gas_constant": "1", "avogadro": "-1"}
5
boltzmann,expansion,force,mass,time
m·t·F·β·k_B
constants,mechanics,thermo
m·t⁻²·F⁻²·β⁻¹·k_B
m = k₀ · t²·F²·β·k_B⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "force": "-2", "expansion": "-1", "boltzmann": "1"}
5
charge,force,mass,time,voltage
m·t·F·q·U
em,mechanics
m·t⁻²·F⁻²·q·U
m = k₀ · t²·F²·q⁻¹·U⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "charge": "1", "voltage": "1"}
5
charge,force,mass,resistance,time
m·t·F·q·R
em,mechanics
m·t⁻³·F⁻²·q²·R
m = k₀ · t³·F²·q⁻²·R⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "force": "-2", "charge": "2", "resistance": "1"}
5
capacitance,charge,force,mass,time
m·t·F·q·C_e
em,mechanics
m·t⁻²·F⁻²·q²·C_e⁻¹
m = k₀ · t²·F²·q⁻²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "force": "-2", "charge": "2", "capacitance": "-1"}
5
charge,force,inductance,mass,time
m·t·F·q·L_e
em,mechanics
m·t⁻⁴·F⁻²·q²·L_e
m = k₀ · t⁴·F²·q⁻²·L_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "force": "-2", "charge": "2", "inductance": "1"}
5
charge,force,mag_flux,mass,time
m·t·F·q·Φ
em,mechanics
m·t⁻³·F⁻²·q·Φ
m = k₀ · t³·F²·q⁻¹·Φ⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "force": "-2", "charge": "1", "mag_flux": "1"}
5
charge,force,mass,permittivity,time
m·t·F·q·ε
em,mechanics
m²·t⁻⁴·F⁻³·q²·ε⁻¹
ε = k₀ · m²·t⁻⁴·F⁻³·q²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "time": "-4", "force": "-3", "charge": "2", "permittivity": "-1"}
5
charge,conductivity,force,mass,time
m·t·F·q·σ
em,mechanics
m²·t⁻⁵·F⁻³·q²·σ⁻¹
σ = k₀ · m²·t⁻⁵·F⁻³·q²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "force": "-3", "charge": "2", "conductivity": "-1"}
5
charge,force,mass,resistivity,time
m·t·F·q·ρ_e
em,mechanics
m²·t⁻⁵·F⁻³·q²·ρ_e
ρ_e = k₀ · m⁻²·t⁵·F³·q⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "time": "-5", "force": "-3", "charge": "2", "resistivity": "1"}
5
current,force,mass,time,voltage
m·t·F·i·U
em,mechanics
m·t⁻¹·F⁻²·i·U
m = k₀ · t·F²·i⁻¹·U⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "force": "-2", "current": "1", "voltage": "1"}
5
current,force,mass,resistance,time
m·t·F·i·R
em,mechanics
m·t⁻¹·F⁻²·i²·R
m = k₀ · t·F²·i⁻²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "force": "-2", "current": "2", "resistance": "1"}
5
current,force,inductance,mass,time
m·t·F·i·L_e
em,mechanics
m·t⁻²·F⁻²·i²·L_e
m = k₀ · t²·F²·i⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "force": "-2", "current": "2", "inductance": "1"}
5
current,force,mag_flux,mass,time
m·t·F·i·Φ
em,mechanics
m·t⁻²·F⁻²·i·Φ
m = k₀ · t²·F²·i⁻¹·Φ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "force": "-2", "current": "1", "mag_flux": "1"}
5
current,force,mass,permittivity,time
m·t·F·i·ε
em,mechanics
m²·t⁻²·F⁻³·i²·ε⁻¹
ε = k₀ · m²·t⁻²·F⁻³·i²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "time": "-2", "force": "-3", "current": "2", "permittivity": "-1"}