Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
8
keys
stringlengths
10
106
symbols
stringlengths
3
29
domains
stringclasses
62 values
pi
stringlengths
3
46
equation
stringlengths
10
59
name
stringclasses
19 values
n_const
int64
0
4
n_domains
int64
1
6
max_exp
int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
5
acceleration,charge,mass,permeability,time
m·t·a·q·μ₀
em,mechanics
m·t²·a·q⁻²·μ₀⁻¹
m = k₀ · t⁻²·a⁻¹·q²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "1", "charge": "-2", "permeability": "-1"}
5
acceleration,charge,conductivity,mass,time
m·t·a·q·σ
em,mechanics
m·t⁵·a³·q⁻²·σ
m = k₀ · t⁻⁵·a⁻³·q²·σ⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "1", "time": "5", "acceleration": "3", "charge": "-2", "conductivity": "1"}
5
acceleration,charge,mass,resistivity,time
m·t·a·q·ρ_e
em,mechanics
m·t⁵·a³·q⁻²·ρ_e⁻¹
m = k₀ · t⁻⁵·a⁻³·q²·ρ_e
null
0
2
5
12
10.5
-1
false
{"mass": "1", "time": "5", "acceleration": "3", "charge": "-2", "resistivity": "-1"}
5
acceleration,current,mass,time,voltage
m·t·a·i·U
em,mechanics
m·t·a²·i⁻¹·U⁻¹
m = k₀ · t⁻¹·a⁻²·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "acceleration": "2", "current": "-1", "voltage": "-1"}
5
acceleration,current,mass,resistance,time
m·t·a·i·R
em,mechanics
m·t·a²·i⁻²·R⁻¹
m = k₀ · t⁻¹·a⁻²·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "acceleration": "2", "current": "-2", "resistance": "-1"}
5
acceleration,current,inductance,mass,time
m·t·a·i·L_e
em,mechanics
m·t²·a²·i⁻²·L_e⁻¹
m = k₀ · t⁻²·a⁻²·i²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "acceleration": "2", "current": "-2", "inductance": "-1"}
5
acceleration,current,efield,mass,time
m·t·a·i·E_f
em,mechanics
m·t⁻¹·a·i⁻¹·E_f⁻¹
m = k₀ · t·a⁻¹·i·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "acceleration": "1", "current": "-1", "efield": "-1"}
5
acceleration,current,mag_flux,mass,time
m·t·a·i·Φ
em,mechanics
m·t²·a²·i⁻¹·Φ⁻¹
m = k₀ · t⁻²·a⁻²·i·Φ
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "current": "-1", "mag_flux": "-1"}
5
acceleration,current,mass,permittivity,time
m·t·a·i·ε
em,mechanics
m·t²·a³·i⁻²·ε
m = k₀ · t⁻²·a⁻³·i²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "acceleration": "3", "current": "-2", "permittivity": "1"}
5
acceleration,conductivity,current,mass,time
m·t·a·i·σ
em,mechanics
m·t³·a³·i⁻²·σ
m = k₀ · t⁻³·a⁻³·i²·σ⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "3", "acceleration": "3", "current": "-2", "conductivity": "1"}
5
acceleration,current,mass,resistivity,time
m·t·a·i·ρ_e
em,mechanics
m·t³·a³·i⁻²·ρ_e⁻¹
m = k₀ · t⁻³·a⁻³·i²·ρ_e
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "3", "acceleration": "3", "current": "-2", "resistivity": "-1"}
5
acceleration,mass,resistance,time,voltage
m·t·a·U·R
em,mechanics
m·t·a²·U⁻²·R
m = k₀ · t⁻¹·a⁻²·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "acceleration": "2", "voltage": "-2", "resistance": "1"}
5
acceleration,capacitance,mass,time,voltage
m·t·a·U·C_e
em,mechanics
m·t²·a²·U⁻²·C_e⁻¹
m = k₀ · t⁻²·a⁻²·U²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "acceleration": "2", "voltage": "-2", "capacitance": "-1"}
5
acceleration,mass,permeability,time,voltage
m·t·a·U·μ₀
em,mechanics
m·t²·a³·U⁻²·μ₀
m = k₀ · t⁻²·a⁻³·U²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "acceleration": "3", "voltage": "-2", "permeability": "1"}
5
acceleration,conductivity,mass,time,voltage
m·t·a·U·σ
em,mechanics
m·t⁻¹·a·U⁻²·σ⁻¹
m = k₀ · t·a⁻¹·U²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "acceleration": "1", "voltage": "-2", "conductivity": "-1"}
5
acceleration,mass,resistivity,time,voltage
m·t·a·U·ρ_e
em,mechanics
m·t⁻¹·a·U⁻²·ρ_e
m = k₀ · t·a⁻¹·U²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "acceleration": "1", "voltage": "-2", "resistivity": "1"}
5
acceleration,elem_charge,mass,time,voltage
m·t·a·U·e
constants,em,mechanics
m·t²·a²·U⁻¹·e⁻¹
m = k₀ · t⁻²·a⁻²·U·e
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "acceleration": "2", "voltage": "-1", "elem_charge": "-1"}
5
acceleration,bfield,mass,resistance,time
m·t·a·R·B
em,mechanics
m·t⁻⁵·a⁻²·R·B⁻²
m = k₀ · t⁵·a²·R⁻¹·B²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "acceleration": "-2", "resistance": "1", "bfield": "-2"}
5
acceleration,mag_flux,mass,resistance,time
m·t·a·R·Φ
em,mechanics
m·t³·a²·R·Φ⁻²
m = k₀ · t⁻³·a⁻²·R⁻¹·Φ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "acceleration": "2", "resistance": "1", "mag_flux": "-2"}
5
acceleration,elem_charge,mass,resistance,time
m·t·a·R·e
constants,em,mechanics
m·t³·a²·R⁻¹·e⁻²
m = k₀ · t⁻³·a⁻²·R·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "3", "acceleration": "2", "resistance": "-1", "elem_charge": "-2"}
5
acceleration,bfield,capacitance,mass,time
m·t·a·C_e·B
em,mechanics
m·t⁻⁴·a⁻²·C_e⁻¹·B⁻²
m = k₀ · t⁴·a²·C_e·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "acceleration": "-2", "capacitance": "-1", "bfield": "-2"}
5
acceleration,capacitance,mag_flux,mass,time
m·t·a·C_e·Φ
em,mechanics
m·t⁴·a²·C_e⁻¹·Φ⁻²
m = k₀ · t⁻⁴·a⁻²·C_e·Φ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "4", "acceleration": "2", "capacitance": "-1", "mag_flux": "-2"}
5
acceleration,capacitance,elem_charge,mass,time
m·t·a·C_e·e
constants,em,mechanics
m·t²·a²·C_e·e⁻²
m = k₀ · t⁻²·a⁻²·C_e⁻¹·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "time": "2", "acceleration": "2", "capacitance": "1", "elem_charge": "-2"}
5
acceleration,bfield,inductance,mass,time
m·t·a·L_e·B
em,mechanics
m·t⁻⁶·a⁻²·L_e·B⁻²
m = k₀ · t⁶·a²·L_e⁻¹·B²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "acceleration": "-2", "inductance": "1", "bfield": "-2"}
5
acceleration,inductance,mag_flux,mass,time
m·t·a·L_e·Φ
em,mechanics
m·t²·a²·L_e·Φ⁻²
m = k₀ · t⁻²·a⁻²·L_e⁻¹·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "acceleration": "2", "inductance": "1", "mag_flux": "-2"}
5
acceleration,elem_charge,inductance,mass,time
m·t·a·L_e·e
constants,em,mechanics
m·t⁴·a²·L_e⁻¹·e⁻²
m = k₀ · t⁻⁴·a⁻²·L_e·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "4", "acceleration": "2", "inductance": "-1", "elem_charge": "-2"}
5
acceleration,efield,mass,permittivity,time
m·t·a·E_f·ε
em,mechanics
m·t⁻⁴·a⁻¹·E_f⁻²·ε⁻¹
m = k₀ · t⁴·a·E_f²·ε
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "acceleration": "-1", "efield": "-2", "permittivity": "-1"}
5
acceleration,efield,mass,permeability,time
m·t·a·E_f·μ₀
em,mechanics
m·t⁻²·a·E_f⁻²·μ₀
m = k₀ · t²·a⁻¹·E_f²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "acceleration": "1", "efield": "-2", "permeability": "1"}
5
acceleration,conductivity,efield,mass,time
m·t·a·E_f·σ
em,mechanics
m·t⁻⁵·a⁻¹·E_f⁻²·σ⁻¹
m = k₀ · t⁵·a·E_f²·σ
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "time": "-5", "acceleration": "-1", "efield": "-2", "conductivity": "-1"}
5
acceleration,efield,mass,resistivity,time
m·t·a·E_f·ρ_e
em,mechanics
m·t⁻⁵·a⁻¹·E_f⁻²·ρ_e
m = k₀ · t⁵·a·E_f²·ρ_e⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "time": "-5", "acceleration": "-1", "efield": "-2", "resistivity": "1"}
5
acceleration,bfield,mass,permittivity,time
m·t·a·B·ε
em,mechanics
m·t⁻⁶·a⁻³·B⁻²·ε⁻¹
m = k₀ · t⁶·a³·B²·ε
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "time": "-6", "acceleration": "-3", "bfield": "-2", "permittivity": "-1"}
5
acceleration,bfield,mass,permeability,time
m·t·a·B·μ₀
em,mechanics
m·t⁻⁴·a⁻¹·B⁻²·μ₀
m = k₀ · t⁴·a·B²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-4", "acceleration": "-1", "bfield": "-2", "permeability": "1"}
5
acceleration,bfield,conductivity,mass,time
m·t·a·B·σ
em,mechanics
m·t⁻⁷·a⁻³·B⁻²·σ⁻¹
m = k₀ · t⁷·a³·B²·σ
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "time": "-7", "acceleration": "-3", "bfield": "-2", "conductivity": "-1"}
5
acceleration,bfield,mass,resistivity,time
m·t·a·B·ρ_e
em,mechanics
m·t⁻⁷·a⁻³·B⁻²·ρ_e
m = k₀ · t⁷·a³·B²·ρ_e⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "time": "-7", "acceleration": "-3", "bfield": "-2", "resistivity": "1"}
5
acceleration,mag_flux,mass,permittivity,time
m·t·a·Φ·ε
em,mechanics
m·t²·a·Φ⁻²·ε⁻¹
m = k₀ · t⁻²·a⁻¹·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "1", "mag_flux": "-2", "permittivity": "-1"}
5
acceleration,mag_flux,mass,permeability,time
m·t·a·Φ·μ₀
em,mechanics
m·t⁴·a³·Φ⁻²·μ₀
m = k₀ · t⁻⁴·a⁻³·Φ²·μ₀⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "4", "acceleration": "3", "mag_flux": "-2", "permeability": "1"}
5
acceleration,conductivity,mag_flux,mass,time
m·t·a·Φ·σ
em,mechanics
m·t·a·Φ⁻²·σ⁻¹
m = k₀ · t⁻¹·a⁻¹·Φ²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "acceleration": "1", "mag_flux": "-2", "conductivity": "-1"}
5
acceleration,mag_flux,mass,resistivity,time
m·t·a·Φ·ρ_e
em,mechanics
m·t·a·Φ⁻²·ρ_e
m = k₀ · t⁻¹·a⁻¹·Φ²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "acceleration": "1", "mag_flux": "-2", "resistivity": "1"}
5
acceleration,elem_charge,mag_flux,mass,time
m·t·a·Φ·e
constants,em,mechanics
m·t³·a²·Φ⁻¹·e⁻¹
m = k₀ · t⁻³·a⁻²·Φ·e
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "time": "3", "acceleration": "2", "mag_flux": "-1", "elem_charge": "-1"}
5
acceleration,elem_charge,mass,permittivity,time
m·t·a·ε·e
constants,em,mechanics
m·t⁴·a³·ε·e⁻²
m = k₀ · t⁻⁴·a⁻³·ε⁻¹·e²
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "4", "acceleration": "3", "permittivity": "1", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,permeability,time
m·t·a·μ₀·e
constants,em,mechanics
m·t²·a·μ₀⁻¹·e⁻²
m = k₀ · t⁻²·a⁻¹·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "acceleration": "1", "permeability": "-1", "elem_charge": "-2"}
5
acceleration,conductivity,elem_charge,mass,time
m·t·a·σ·e
constants,em,mechanics
m·t⁵·a³·σ·e⁻²
m = k₀ · t⁻⁵·a⁻³·σ⁻¹·e²
null
1
3
5
12
11.1
-2.1
false
{"mass": "1", "time": "5", "acceleration": "3", "conductivity": "1", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,resistivity,time
m·t·a·ρ_e·e
constants,em,mechanics
m·t⁵·a³·ρ_e⁻¹·e⁻²
m = k₀ · t⁻⁵·a⁻³·ρ_e·e²
null
1
3
5
12
11.1
-2.1
false
{"mass": "1", "time": "5", "acceleration": "3", "resistivity": "-1", "elem_charge": "-2"}
5
acceleration,amount,mass,molar_energy,time
m·t·a·n·E_m
chemistry,mechanics
m·t²·a²·n⁻¹·E_m⁻¹
m = k₀ · t⁻²·a⁻²·n·E_m
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "acceleration": "2", "amount": "-1", "molar_energy": "-1"}
5
acceleration,concentration,mass,molar_mass,time
m·t·a·M_m·c_n
chemistry,mechanics
m·t⁻⁶·a⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁶·a³·M_m·c_n
null
0
2
6
12
11
-1.5
false
{"mass": "1", "time": "-6", "acceleration": "-3", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,concentration,mass,molar_energy,time
m·t·a·c_n·E_m
chemistry,mechanics
m·t⁻⁴·a⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t⁴·a·c_n·E_m
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "time": "-4", "acceleration": "-1", "concentration": "-1", "molar_energy": "-1"}
6
acceleration,boltzmann,gas_constant,mass,molar_energy,time
m·t·a·E_m·R·k_B
chemistry,constants,mechanics
m·t²·a²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁻²·a⁻²·E_m·R⁻¹·k_B
null
1
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "acceleration": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
acceleration,cat_activity,mass,molar_energy,time
m·t·a·E_m·z
chemistry,mechanics
m·t·a²·E_m⁻¹·z⁻¹
m = k₀ · t⁻¹·a⁻²·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "acceleration": "2", "molar_energy": "-1", "cat_activity": "-1"}
5
acceleration,avogadro,mass,molar_energy,time
m·t·a·E_m·N_A
chemistry,constants,mechanics
m·t²·a²·E_m⁻¹·N_A
m = k₀ · t⁻²·a⁻²·E_m·N_A⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "acceleration": "2", "molar_energy": "-1", "avogadro": "1"}
4
acceleration,grav_const,mass,time
m·t·a·G
constants,mechanics
m·t⁻⁴·a⁻³·G
m = k₀ · t⁴·a³·G⁻¹
null
1
2
4
9
7.6
1.9
false
{"mass": "1", "time": "-4", "acceleration": "-3", "grav_const": "1"}
4
acceleration,mass,planck,time
m·t·a·h
constants,mechanics
m·t³·a²·h⁻¹
m = k₀ · t⁻³·a⁻²·h
null
1
2
3
7
5.7
3.8
true
{"mass": "1", "time": "3", "acceleration": "2", "planck": "-1"}
4
energy,gravity,mass,time
m·t·g·E
mechanics
m·t²·g²·E⁻¹
m = k₀ · t⁻²·g⁻²·E
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "2", "gravity": "2", "energy": "-1"}
4
gravity,mass,time,torque
m·t·g·τ
mechanics
m·t²·g²·τ⁻¹
m = k₀ · t⁻²·g⁻²·τ
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "time": "2", "gravity": "2", "torque": "-1"}
4
gravity,mass,power,time
m·t·g·P
mechanics
m·t·g²·P⁻¹
m = k₀ · t⁻¹·g⁻²·P
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "1", "gravity": "2", "power": "-1"}
4
gravity,mass,momentum,time
m·t·g·p
mechanics
m·t·g·p⁻¹
m = k₀ · t⁻¹·g⁻¹·p
null
0
1
1
4
2
8
true
{"mass": "1", "time": "1", "gravity": "1", "momentum": "-1"}
4
ang_momentum,gravity,mass,time
m·t·g·Lₐ
mechanics
m·t³·g²·Lₐ⁻¹
m = k₀ · t⁻³·g⁻²·Lₐ
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "time": "3", "gravity": "2", "ang_momentum": "-1"}
4
action,gravity,mass,time
m·t·g·S
mechanics
m·t³·g²·S⁻¹
m = k₀ · t⁻³·g⁻²·S
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "time": "3", "gravity": "2", "action": "-1"}
4
gravity,inertia,mass,time
m·t·g·J
mechanics
m·t⁴·g²·J⁻¹
m = k₀ · t⁻⁴·g⁻²·J
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "time": "4", "gravity": "2", "inertia": "-1"}
4
gravity,mass,pressure,time
m·t·g·P_p
mechanics
m·t⁻⁴·g⁻¹·P_p⁻¹
m = k₀ · t⁴·g·P_p
null
0
1
4
7
5.6
4.4
false
{"mass": "1", "time": "-4", "gravity": "-1", "pressure": "-1"}
4
density,gravity,mass,time
m·t·g·ρ
mechanics
m·t⁻⁶·g⁻³·ρ⁻¹
m = k₀ · t⁶·g³·ρ
null
0
1
6
11
9.4
0.6
false
{"mass": "1", "time": "-6", "gravity": "-3", "density": "-1"}
4
gravity,mass,time,viscosity
m·t·g·μ
mechanics
m·t⁻³·g⁻¹·μ⁻¹
m = k₀ · t³·g·μ
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "time": "-3", "gravity": "-1", "viscosity": "-1"}
5
entropy,gravity,mass,temperature,time
m·t·g·Θ·S_e
mechanics,thermo
m·t²·g²·Θ⁻¹·S_e⁻¹
m = k₀ · t⁻²·g⁻²·Θ·S_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "temperature": "-1", "entropy": "-1"}
5
gravity,heat_capacity,mass,temperature,time
m·t·g·Θ·C
mechanics,thermo
m·t²·g²·Θ⁻¹·C⁻¹
m = k₀ · t⁻²·g⁻²·Θ·C
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "temperature": "-1", "heat_capacity": "-1"}
5
gravity,mass,temperature,thermal_cond,time
m·t·g·Θ·κ
mechanics,thermo
m·t⁻¹·g·Θ⁻¹·κ⁻¹
m = k₀ · t·g⁻¹·Θ·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "gravity": "1", "temperature": "-1", "thermal_cond": "-1"}
6
amount,gas_constant,gravity,mass,temperature,time
m·t·g·Θ·n·R
chemistry,mechanics,thermo
m·t²·g²·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · t⁻²·g⁻²·Θ·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "gravity": "2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
concentration,gas_constant,gravity,mass,temperature,time
m·t·g·Θ·c_n·R
chemistry,mechanics,thermo
m·t⁻⁴·g⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · t⁴·g·Θ·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "gravity": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,gravity,mass,temperature,time
m·t·g·Θ·R·z
chemistry,mechanics,thermo
m·t·g²·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · t⁻¹·g⁻²·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "gravity": "2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,gravity,mass,temperature,time
m·t·g·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·t²·g²·Θ⁻¹·R⁻¹·N_A
m = k₀ · t⁻²·g⁻²·Θ·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "2", "gravity": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,gravity,mass,temperature,time
m·t·g·Θ·k_B
constants,mechanics,thermo
m·t²·g²·Θ⁻¹·k_B⁻¹
m = k₀ · t⁻²·g⁻²·Θ·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "gravity": "2", "temperature": "-1", "boltzmann": "-1"}
5
entropy,expansion,gravity,mass,time
m·t·g·S_e·β
mechanics,thermo
m·t²·g²·S_e⁻¹·β
m = k₀ · t⁻²·g⁻²·S_e·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "entropy": "-1", "expansion": "1"}
6
entropy,gas_constant,gravity,mass,molar_energy,time
m·t·g·S_e·E_m·R
chemistry,mechanics,thermo
m·t²·g²·S_e⁻¹·E_m⁻¹·R
m = k₀ · t⁻²·g⁻²·S_e·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "gravity": "2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
expansion,gravity,heat_capacity,mass,time
m·t·g·C·β
mechanics,thermo
m·t²·g²·C⁻¹·β
m = k₀ · t⁻²·g⁻²·C·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "heat_capacity": "-1", "expansion": "1"}
6
gas_constant,gravity,heat_capacity,mass,molar_energy,time
m·t·g·C·E_m·R
chemistry,mechanics,thermo
m·t²·g²·C⁻¹·E_m⁻¹·R
m = k₀ · t⁻²·g⁻²·C·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "gravity": "2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
gravity,mass,specific_heat,thermal_cond,time
m·t·g·c·κ
mechanics,thermo
m·t⁻³·g⁻¹·c·κ⁻¹
m = k₀ · t³·g·c⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "gravity": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
concentration,gas_constant,gravity,mass,specific_heat,time
m·t·g·c·c_n·R
chemistry,mechanics,thermo
m·t⁻⁶·g⁻³·c·c_n⁻¹·R⁻¹
m = k₀ · t⁶·g³·c⁻¹·c_n·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "1", "time": "-6", "gravity": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
expansion,gravity,mass,thermal_cond,time
m·t·g·κ·β
mechanics,thermo
m·t⁻¹·g·κ⁻¹·β
m = k₀ · t·g⁻¹·κ·β⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "gravity": "1", "thermal_cond": "-1", "expansion": "1"}
6
gas_constant,gravity,mass,molar_mass,thermal_cond,time
m·t·g·κ·M_m·R
chemistry,mechanics,thermo
m·t⁻³·g⁻¹·κ⁻¹·M_m⁻¹·R
m = k₀ · t³·g·κ·M_m·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "gravity": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
gas_constant,gravity,mass,molar_energy,thermal_cond,time
m·t·g·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻¹·g·κ⁻¹·E_m⁻¹·R
m = k₀ · t·g⁻¹·κ·E_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "gravity": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
amount,expansion,gas_constant,gravity,mass,time
m·t·g·β·n·R
chemistry,mechanics,thermo
m·t²·g²·β·n⁻¹·R⁻¹
m = k₀ · t⁻²·g⁻²·β⁻¹·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "2", "gravity": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,expansion,gas_constant,gravity,mass,time
m·t·g·β·c_n·R
chemistry,mechanics,thermo
m·t⁻⁴·g⁻¹·β·c_n⁻¹·R⁻¹
m = k₀ · t⁴·g·β⁻¹·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "gravity": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,gravity,mass,time
m·t·g·β·R·z
chemistry,mechanics,thermo
m·t·g²·β·R⁻¹·z⁻¹
m = k₀ · t⁻¹·g⁻²·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "1", "gravity": "2", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,expansion,gas_constant,gravity,mass,time
m·t·g·β·R·N_A
chemistry,constants,mechanics,thermo
m·t²·g²·β·R⁻¹·N_A
m = k₀ · t⁻²·g⁻²·β⁻¹·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "2", "gravity": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,expansion,gravity,mass,time
m·t·g·β·k_B
constants,mechanics,thermo
m·t²·g²·β·k_B⁻¹
m = k₀ · t⁻²·g⁻²·β⁻¹·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "2", "gravity": "2", "expansion": "1", "boltzmann": "-1"}
5
charge,gravity,mass,time,voltage
m·t·g·q·U
em,mechanics
m·t²·g²·q⁻¹·U⁻¹
m = k₀ · t⁻²·g⁻²·q·U
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "charge": "-1", "voltage": "-1"}
5
charge,gravity,mass,resistance,time
m·t·g·q·R
em,mechanics
m·t³·g²·q⁻²·R⁻¹
m = k₀ · t⁻³·g⁻²·q²·R
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "gravity": "2", "charge": "-2", "resistance": "-1"}
5
capacitance,charge,gravity,mass,time
m·t·g·q·C_e
em,mechanics
m·t²·g²·q⁻²·C_e
m = k₀ · t⁻²·g⁻²·q²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "gravity": "2", "charge": "-2", "capacitance": "1"}
5
charge,gravity,inductance,mass,time
m·t·g·q·L_e
em,mechanics
m·t⁴·g²·q⁻²·L_e⁻¹
m = k₀ · t⁻⁴·g⁻²·q²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "4", "gravity": "2", "charge": "-2", "inductance": "-1"}
5
charge,gravity,mag_flux,mass,time
m·t·g·q·Φ
em,mechanics
m·t³·g²·q⁻¹·Φ⁻¹
m = k₀ · t⁻³·g⁻²·q·Φ
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "3", "gravity": "2", "charge": "-1", "mag_flux": "-1"}
5
charge,gravity,mass,permittivity,time
m·t·g·q·ε
em,mechanics
m·t⁴·g³·q⁻²·ε
m = k₀ · t⁻⁴·g⁻³·q²·ε⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "4", "gravity": "3", "charge": "-2", "permittivity": "1"}
5
charge,gravity,mass,permeability,time
m·t·g·q·μ₀
em,mechanics
m·t²·g·q⁻²·μ₀⁻¹
m = k₀ · t⁻²·g⁻¹·q²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,gravity,mass,time
m·t·g·q·σ
em,mechanics
m·t⁵·g³·q⁻²·σ
m = k₀ · t⁻⁵·g⁻³·q²·σ⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "1", "time": "5", "gravity": "3", "charge": "-2", "conductivity": "1"}
5
charge,gravity,mass,resistivity,time
m·t·g·q·ρ_e
em,mechanics
m·t⁵·g³·q⁻²·ρ_e⁻¹
m = k₀ · t⁻⁵·g⁻³·q²·ρ_e
null
0
2
5
12
10.5
-1
false
{"mass": "1", "time": "5", "gravity": "3", "charge": "-2", "resistivity": "-1"}
5
current,gravity,mass,time,voltage
m·t·g·i·U
em,mechanics
m·t·g²·i⁻¹·U⁻¹
m = k₀ · t⁻¹·g⁻²·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "1", "gravity": "2", "current": "-1", "voltage": "-1"}
5
current,gravity,mass,resistance,time
m·t·g·i·R
em,mechanics
m·t·g²·i⁻²·R⁻¹
m = k₀ · t⁻¹·g⁻²·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "gravity": "2", "current": "-2", "resistance": "-1"}
5
current,gravity,inductance,mass,time
m·t·g·i·L_e
em,mechanics
m·t²·g²·i⁻²·L_e⁻¹
m = k₀ · t⁻²·g⁻²·i²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "gravity": "2", "current": "-2", "inductance": "-1"}
5
current,efield,gravity,mass,time
m·t·g·i·E_f
em,mechanics
m·t⁻¹·g·i⁻¹·E_f⁻¹
m = k₀ · t·g⁻¹·i·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "gravity": "1", "current": "-1", "efield": "-1"}
5
current,gravity,mag_flux,mass,time
m·t·g·i·Φ
em,mechanics
m·t²·g²·i⁻¹·Φ⁻¹
m = k₀ · t⁻²·g⁻²·i·Φ
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "2", "gravity": "2", "current": "-1", "mag_flux": "-1"}
5
current,gravity,mass,permittivity,time
m·t·g·i·ε
em,mechanics
m·t²·g³·i⁻²·ε
m = k₀ · t⁻²·g⁻³·i²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "2", "gravity": "3", "current": "-2", "permittivity": "1"}
5
conductivity,current,gravity,mass,time
m·t·g·i·σ
em,mechanics
m·t³·g³·i⁻²·σ
m = k₀ · t⁻³·g⁻³·i²·σ⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "3", "gravity": "3", "current": "-2", "conductivity": "1"}
5
current,gravity,mass,resistivity,time
m·t·g·i·ρ_e
em,mechanics
m·t³·g³·i⁻²·ρ_e⁻¹
m = k₀ · t⁻³·g⁻³·i²·ρ_e
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "3", "gravity": "3", "current": "-2", "resistivity": "-1"}