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
mag_flux,mass,permittivity,time,torque
m·t·τ·Φ·ε
em,mechanics
m·t²·τ·Φ⁻⁴·ε⁻²
m = k₀ · t⁻²·τ⁻¹·Φ⁴·ε²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "2", "torque": "1", "mag_flux": "-4", "permittivity": "-2"}
5
mag_flux,mass,permeability,time,torque
m·t·τ·Φ·μ₀
em,mechanics
m·t⁻²·τ⁻³·Φ⁴·μ₀⁻²
m = k₀ · t²·τ³·Φ⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-2", "torque": "-3", "mag_flux": "4", "permeability": "-2"}
5
elem_charge,mass,permittivity,time,torque
m·t·τ·ε·e
constants,em,mechanics
m·t⁻²·τ⁻³·ε⁻²·e⁴
m = k₀ · t²·τ³·ε²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "-2", "torque": "-3", "permittivity": "-2", "elem_charge": "4"}
5
conductivity,mass,permeability,time,torque
m·t·τ·μ₀·σ
em,mechanics
m·t⁻¹·τ⁻¹·μ₀⁻¹·σ⁻¹
m = k₀ · t·τ·μ₀·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "torque": "-1", "permeability": "-1", "conductivity": "-1"}
5
mass,permeability,resistivity,time,torque
m·t·τ·μ₀·ρ_e
em,mechanics
m·t⁻¹·τ⁻¹·μ₀⁻¹·ρ_e
m = k₀ · t·τ·μ₀·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "torque": "-1", "permeability": "-1", "resistivity": "1"}
5
elem_charge,mass,permeability,time,torque
m·t·τ·μ₀·e
constants,em,mechanics
m·t²·τ·μ₀⁻²·e⁻⁴
m = k₀ · t⁻²·τ⁻¹·μ₀²·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "2", "torque": "1", "permeability": "-2", "elem_charge": "-4"}
5
conductivity,elem_charge,mass,time,torque
m·t·τ·σ·e
constants,em,mechanics
m·t⁻⁴·τ⁻³·σ⁻²·e⁴
m = k₀ · t⁴·τ³·σ²·e⁻⁴
null
1
3
4
14
12
-3
false
{"mass": "1", "time": "-4", "torque": "-3", "conductivity": "-2", "elem_charge": "4"}
5
elem_charge,mass,resistivity,time,torque
m·t·τ·ρ_e·e
constants,em,mechanics
m·t⁻⁴·τ⁻³·ρ_e²·e⁴
m = k₀ · t⁴·τ³·ρ_e⁻²·e⁻⁴
null
1
3
4
14
12
-3
false
{"mass": "1", "time": "-4", "torque": "-3", "resistivity": "2", "elem_charge": "4"}
5
amount,concentration,mass,time,torque
m·t·τ·n·c_n
chemistry,mechanics
m³·t⁻⁶·τ⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·τ³ᐟ²·c_n
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-6", "torque": "-3", "amount": "2", "concentration": "-2"}
5
concentration,mass,molar_mass,time,torque
m·t·τ·M_m·c_n
chemistry,mechanics
m⁵·t⁻⁶·τ⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·τ⁻³ᐟ²·c_n⁻¹
null
0
2
6
18
15.2
-5.7
false
{"mass": "5", "time": "-6", "torque": "-3", "molar_mass": "-2", "concentration": "-2"}
5
concentration,mass,molar_energy,time,torque
m·t·τ·c_n·E_m
chemistry,mechanics
m³·t⁻⁶·τ⁻¹·c_n⁻²·E_m⁻²
τ = k₀ · m³·t⁻⁶·c_n⁻²·E_m⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "-6", "torque": "-1", "concentration": "-2", "molar_energy": "-2"}
6
boltzmann,concentration,gas_constant,mass,time,torque
m·t·τ·c_n·R·k_B
chemistry,constants,mechanics
m³·t⁻⁶·τ⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³·τ⁻³ᐟ²·R⁻¹·k_B
null
1
3
6
18
16.1
-7.1
false
{"mass": "3", "time": "-6", "torque": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
5
cat_activity,concentration,mass,time,torque
m·t·τ·c_n·z
chemistry,mechanics
m³·t⁻⁴·τ⁻³·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·τ⁻³ᐟ²·z
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "time": "-4", "torque": "-3", "concentration": "-2", "cat_activity": "2"}
5
avogadro,concentration,mass,time,torque
m·t·τ·c_n·N_A
chemistry,constants,mechanics
m³·t⁻⁶·τ⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·τ⁻³ᐟ²·N_A⁻¹
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "time": "-6", "torque": "-3", "concentration": "-2", "avogadro": "-2"}
5
illuminance,lum_intensity,mass,time,torque
m·t·τ·I_v·E_v
mechanics,photometry
m·t⁻²·τ⁻¹·I_v·E_v⁻¹
m = k₀ · t²·τ·I_v⁻¹·E_v
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "torque": "-1", "lum_intensity": "1", "illuminance": "-1"}
5
lum_intensity,luminance,mass,time,torque
m·t·τ·I_v·L_v
mechanics,photometry
m·t⁻²·τ⁻¹·I_v·L_v⁻¹
m = k₀ · t²·τ·I_v⁻¹·L_v
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "torque": "-1", "lum_intensity": "1", "luminance": "-1"}
4
grav_const,mass,time,torque
m·t·τ·G
constants,mechanics
m⁵·t⁻²·τ⁻³·G²
t = k₀ · m⁵ᐟ²·τ⁻³ᐟ²·G
null
1
2
5
12
10.2
-0.7
false
{"mass": "5", "time": "-2", "torque": "-3", "grav_const": "2"}
4
mass,momentum,power,time
m·t·P·p
mechanics
m·t·P·p⁻²
m = k₀ · t⁻¹·P⁻¹·p²
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "1", "power": "1", "momentum": "-2"}
4
mass,power,pressure,time
m·t·P·P_p
mechanics
m³·t⁻⁷·P⁻¹·P_p⁻²
P = k₀ · m³·t⁻⁷·P_p⁻²
null
0
1
7
13
11.3
-1.3
false
{"mass": "3", "time": "-7", "power": "-1", "pressure": "-2"}
4
density,mass,power,time
m·t·P·ρ
mechanics
m⁵·t⁻⁹·P⁻³·ρ⁻²
ρ = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·P⁻³ᐟ²
null
0
1
9
19
16.5
-6.5
false
{"mass": "5", "time": "-9", "power": "-3", "density": "-2"}
4
mass,power,time,viscosity
m·t·P·μ
mechanics
m³·t⁻⁵·P⁻¹·μ⁻²
P = k₀ · m³·t⁻⁵·μ⁻²
null
0
1
5
11
8.9
1.1
false
{"mass": "3", "time": "-5", "power": "-1", "viscosity": "-2"}
4
kin_viscosity,mass,power,time
m·t·P·ν
mechanics
m·t⁻²·P⁻¹·ν
m = k₀ · t²·P·ν⁻¹
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "time": "-2", "power": "-1", "kin_viscosity": "1"}
4
area,mass,power,time
m·t·P·A
mechanics
m·t⁻³·P⁻¹·A
m = k₀ · t³·P·A⁻¹
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "time": "-3", "power": "-1", "area": "1"}
4
mass,power,time,volume
m·t·P·V
mechanics
m³·t⁻⁹·P⁻³·V²
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·P³ᐟ²
null
0
1
9
17
15.1
-5.1
false
{"mass": "3", "time": "-9", "power": "-3", "volume": "2"}
4
flowrate,mass,power,time
m·t·P·Q
mechanics
m³·t⁻⁷·P⁻³·Q²
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·P³ᐟ²
null
0
1
7
15
12.7
-2.7
false
{"mass": "3", "time": "-7", "power": "-3", "flowrate": "2"}
5
mass,power,specific_heat,temperature,time
m·t·P·Θ·c
mechanics,thermo
m·t⁻¹·P⁻¹·Θ·c
m = k₀ · t·P·Θ⁻¹·c⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "power": "-1", "temperature": "1", "specific_heat": "1"}
5
mass,power,temperature,thermal_cond,time
m·t·P·Θ·κ
mechanics,thermo
m·t⁻³·P·Θ⁻²·κ⁻²
m = k₀ · t³·P⁻¹·Θ²·κ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "1", "temperature": "-2", "thermal_cond": "-2"}
6
gas_constant,mass,molar_mass,power,temperature,time
m·t·P·Θ·M_m·R
chemistry,mechanics,thermo
m·t⁻¹·P⁻¹·Θ·M_m⁻¹·R
m = k₀ · t·P·Θ⁻¹·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "power": "-1", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,gas_constant,mass,power,temperature,time
m·t·P·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁷·P⁻¹·Θ⁻²·c_n⁻²·R⁻²
P = k₀ · m³·t⁻⁷·Θ⁻²·c_n⁻²·R⁻²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "time": "-7", "power": "-1", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
5
entropy,mass,power,thermal_cond,time
m·t·P·S_e·κ
mechanics,thermo
m·t⁻⁵·P⁻¹·S_e²·κ⁻²
m = k₀ · t⁵·P·S_e⁻²·κ²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "power": "-1", "entropy": "2", "thermal_cond": "-2"}
6
concentration,entropy,gas_constant,mass,power,time
m·t·P·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁹·P⁻³·S_e²·c_n⁻²·R⁻²
S_e = k₀ · m⁻³ᐟ²·t⁹ᐟ²·P³ᐟ²·c_n·R
null
0
3
9
21
19.7
-10.7
false
{"mass": "3", "time": "-9", "power": "-3", "entropy": "2", "concentration": "-2", "gas_constant": "-2"}
5
heat_capacity,mass,power,thermal_cond,time
m·t·P·C·κ
mechanics,thermo
m·t⁻⁵·P⁻¹·C²·κ⁻²
m = k₀ · t⁵·P·C⁻²·κ²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "power": "-1", "heat_capacity": "2", "thermal_cond": "-2"}
6
concentration,gas_constant,heat_capacity,mass,power,time
m·t·P·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁹·P⁻³·C²·c_n⁻²·R⁻²
C = k₀ · m⁻³ᐟ²·t⁹ᐟ²·P³ᐟ²·c_n·R
null
0
3
9
21
19.7
-10.7
false
{"mass": "3", "time": "-9", "power": "-3", "heat_capacity": "2", "concentration": "-2", "gas_constant": "-2"}
5
mass,power,specific_heat,thermal_cond,time
m·t·P·c·κ
mechanics,thermo
m³·t⁻⁵·P⁻¹·c²·κ⁻²
P = k₀ · m³·t⁻⁵·c²·κ⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "power": "-1", "specific_heat": "2", "thermal_cond": "-2"}
5
expansion,mass,power,specific_heat,time
m·t·P·c·β
mechanics,thermo
m·t⁻¹·P⁻¹·c·β⁻¹
m = k₀ · t·P·c⁻¹·β
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "power": "-1", "specific_heat": "1", "expansion": "-1"}
6
concentration,gas_constant,mass,power,specific_heat,time
m·t·P·c·c_n·R
chemistry,mechanics,thermo
m⁵·t⁻⁹·P⁻³·c²·c_n⁻²·R⁻²
c = k₀ · m⁻⁵ᐟ²·t⁹ᐟ²·P³ᐟ²·c_n·R
null
0
3
9
23
21.1
-12.1
false
{"mass": "5", "time": "-9", "power": "-3", "specific_heat": "2", "concentration": "-2", "gas_constant": "-2"}
6
gas_constant,mass,molar_energy,power,specific_heat,time
m·t·P·c·E_m·R
chemistry,mechanics,thermo
m·t⁻¹·P⁻¹·c·E_m·R⁻¹
m = k₀ · t·P·c⁻¹·E_m⁻¹·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "power": "-1", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"}
5
expansion,mass,power,thermal_cond,time
m·t·P·κ·β
mechanics,thermo
m·t⁻³·P·κ⁻²·β²
m = k₀ · t³·P⁻¹·κ²·β⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "1", "thermal_cond": "-2", "expansion": "2"}
6
amount,gas_constant,mass,power,thermal_cond,time
m·t·P·κ·n·R
chemistry,mechanics,thermo
m·t⁻⁵·P⁻¹·κ⁻²·n²·R²
m = k₀ · t⁵·P·κ²·n⁻²·R⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "power": "-1", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
gas_constant,mass,molar_mass,power,thermal_cond,time
m·t·P·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻⁵·P⁻¹·κ⁻²·M_m⁻²·R²
P = k₀ · m³·t⁻⁵·κ⁻²·M_m⁻²·R²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "power": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
concentration,gas_constant,mass,power,thermal_cond,time
m·t·P·κ·c_n·R
chemistry,mechanics,thermo
m·t⁻²·P⁻¹·κ·c_n⁻¹·R⁻¹
m = k₀ · t²·P·κ⁻¹·c_n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "power": "-1", "thermal_cond": "1", "concentration": "-1", "gas_constant": "-1"}
6
gas_constant,mass,molar_energy,power,thermal_cond,time
m·t·P·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻³·P·κ⁻²·E_m⁻²·R²
m = k₀ · t³·P⁻¹·κ²·E_m²·R⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "power": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,power,thermal_cond,time
m·t·P·κ·R·z
chemistry,mechanics,thermo
m·t⁻³·P⁻¹·κ⁻²·R²·z²
m = k₀ · t³·P·κ²·R⁻²·z⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "power": "-1", "thermal_cond": "-2", "gas_constant": "2", "cat_activity": "2"}
6
avogadro,gas_constant,mass,power,thermal_cond,time
m·t·P·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻⁵·P⁻¹·κ⁻²·R²·N_A⁻²
m = k₀ · t⁵·P·κ²·R⁻²·N_A²
null
1
4
5
13
12.7
-4.2
false
{"mass": "1", "time": "-5", "power": "-1", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
boltzmann,mass,power,thermal_cond,time
m·t·P·κ·k_B
constants,mechanics,thermo
m·t⁻⁵·P⁻¹·κ⁻²·k_B²
m = k₀ · t⁵·P·κ²·k_B⁻²
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "time": "-5", "power": "-1", "thermal_cond": "-2", "boltzmann": "2"}
4
mass,power,thermal_diff,time
m·t·P·α
mechanics,thermo
m·t⁻²·P⁻¹·α
m = k₀ · t²·P·α⁻¹
null
0
2
2
5
3.8
5.7
true
{"mass": "1", "time": "-2", "power": "-1", "thermal_diff": "1"}
6
expansion,gas_constant,mass,molar_mass,power,time
m·t·P·β·M_m·R
chemistry,mechanics,thermo
m·t⁻¹·P⁻¹·β⁻¹·M_m⁻¹·R
m = k₀ · t·P·β·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "power": "-1", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,expansion,gas_constant,mass,power,time
m·t·P·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁷·P⁻¹·β²·c_n⁻²·R⁻²
P = k₀ · m³·t⁻⁷·β²·c_n⁻²·R⁻²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "time": "-7", "power": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
5
charge,efield,mass,power,time
m·t·P·q·E_f
em,mechanics
m·t⁻¹·P·q⁻²·E_f⁻²
m = k₀ · t·P⁻¹·q²·E_f²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "power": "1", "charge": "-2", "efield": "-2"}
5
charge,mass,permittivity,power,time
m·t·P·q·ε
em,mechanics
m·t⁻⁵·P⁻³·q⁴·ε⁻²
m = k₀ · t⁵·P³·q⁻⁴·ε²
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "time": "-5", "power": "-3", "charge": "4", "permittivity": "-2"}
5
charge,mass,permeability,power,time
m·t·P·q·μ₀
em,mechanics
m·t³·P·q⁻⁴·μ₀⁻²
m = k₀ · t⁻³·P⁻¹·q⁴·μ₀²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "3", "power": "1", "charge": "-4", "permeability": "-2"}
5
charge,conductivity,mass,power,time
m·t·P·q·σ
em,mechanics
m·t⁻⁷·P⁻³·q⁴·σ⁻²
m = k₀ · t⁷·P³·q⁻⁴·σ²
null
0
2
7
17
15
-5.5
false
{"mass": "1", "time": "-7", "power": "-3", "charge": "4", "conductivity": "-2"}
5
charge,mass,power,resistivity,time
m·t·P·q·ρ_e
em,mechanics
m·t⁻⁷·P⁻³·q⁴·ρ_e²
m = k₀ · t⁷·P³·q⁻⁴·ρ_e⁻²
null
0
2
7
17
15
-5.5
false
{"mass": "1", "time": "-7", "power": "-3", "charge": "4", "resistivity": "2"}
5
current,efield,mass,power,time
m·t·P·i·E_f
em,mechanics
m·t⁻³·P·i⁻²·E_f⁻²
m = k₀ · t³·P⁻¹·i²·E_f²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "1", "current": "-2", "efield": "-2"}
5
current,mass,permittivity,power,time
m·t·P·i·ε
em,mechanics
m·t⁻¹·P⁻³·i⁴·ε⁻²
m = k₀ · t·P³·i⁻⁴·ε²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-1", "power": "-3", "current": "4", "permittivity": "-2"}
5
current,mass,permeability,power,time
m·t·P·i·μ₀
em,mechanics
m·t⁻¹·P·i⁻⁴·μ₀⁻²
m = k₀ · t·P⁻¹·i⁴·μ₀²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-1", "power": "1", "current": "-4", "permeability": "-2"}
5
conductivity,current,mass,power,time
m·t·P·i·σ
em,mechanics
m·t⁻³·P⁻³·i⁴·σ⁻²
m = k₀ · t³·P³·i⁻⁴·σ²
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "time": "-3", "power": "-3", "current": "4", "conductivity": "-2"}
5
current,mass,power,resistivity,time
m·t·P·i·ρ_e
em,mechanics
m·t⁻³·P⁻³·i⁴·ρ_e²
m = k₀ · t³·P³·i⁻⁴·ρ_e⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "time": "-3", "power": "-3", "current": "4", "resistivity": "2"}
5
efield,mass,power,time,voltage
m·t·P·U·E_f
em,mechanics
m·t⁻³·P⁻¹·U²·E_f⁻²
m = k₀ · t³·P·U⁻²·E_f²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "-1", "voltage": "2", "efield": "-2"}
5
bfield,mass,power,time,voltage
m·t·P·U·B
em,mechanics
m·t⁻²·P⁻¹·U·B⁻¹
m = k₀ · t²·P·U⁻¹·B
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "power": "-1", "voltage": "1", "bfield": "-1"}
5
mass,permittivity,power,time,voltage
m·t·P·U·ε
em,mechanics
m·t⁻¹·P·U⁻⁴·ε⁻²
m = k₀ · t·P⁻¹·U⁴·ε²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-1", "power": "1", "voltage": "-4", "permittivity": "-2"}
5
mass,permeability,power,time,voltage
m·t·P·U·μ₀
em,mechanics
m·t⁻¹·P⁻³·U⁴·μ₀⁻²
m = k₀ · t·P³·U⁻⁴·μ₀²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-1", "power": "-3", "voltage": "4", "permeability": "-2"}
5
conductivity,mass,power,time,voltage
m·t·P·U·σ
em,mechanics
m·t⁻³·P·U⁻⁴·σ⁻²
m = k₀ · t³·P⁻¹·U⁴·σ²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-3", "power": "1", "voltage": "-4", "conductivity": "-2"}
5
mass,power,resistivity,time,voltage
m·t·P·U·ρ_e
em,mechanics
m·t⁻³·P·U⁻⁴·ρ_e²
m = k₀ · t³·P⁻¹·U⁴·ρ_e⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-3", "power": "1", "voltage": "-4", "resistivity": "2"}
5
bfield,mass,power,resistance,time
m·t·P·R·B
em,mechanics
m²·t⁻⁴·P⁻¹·R·B⁻²
P = k₀ · m²·t⁻⁴·R·B⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "time": "-4", "power": "-1", "resistance": "1", "bfield": "-2"}
5
mass,permittivity,power,resistance,time
m·t·P·R·ε
em,mechanics
m·t⁻¹·P⁻¹·R⁻²·ε⁻²
m = k₀ · t·P·R²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "power": "-1", "resistance": "-2", "permittivity": "-2"}
5
mass,permeability,power,resistance,time
m·t·P·R·μ₀
em,mechanics
m·t⁻¹·P⁻¹·R²·μ₀⁻²
m = k₀ · t·P·R⁻²·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "power": "-1", "resistance": "2", "permeability": "-2"}
5
conductivity,mass,power,resistance,time
m·t·P·R·σ
em,mechanics
m·t⁻³·P⁻¹·R⁻²·σ⁻²
m = k₀ · t³·P·R²·σ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "-1", "resistance": "-2", "conductivity": "-2"}
5
mass,power,resistance,resistivity,time
m·t·P·R·ρ_e
em,mechanics
m·t⁻³·P⁻¹·R⁻²·ρ_e²
m = k₀ · t³·P·R²·ρ_e⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "-1", "resistance": "-2", "resistivity": "2"}
5
bfield,capacitance,mass,power,time
m·t·P·C_e·B
em,mechanics
m²·t⁻³·P⁻¹·C_e⁻¹·B⁻²
P = k₀ · m²·t⁻³·C_e⁻¹·B⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "power": "-1", "capacitance": "-1", "bfield": "-2"}
5
capacitance,mass,permittivity,power,time
m·t·P·C_e·ε
em,mechanics
m·t⁻³·P⁻¹·C_e²·ε⁻²
m = k₀ · t³·P·C_e⁻²·ε²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "-1", "capacitance": "2", "permittivity": "-2"}
5
capacitance,mass,permeability,power,time
m·t·P·C_e·μ₀
em,mechanics
m·t·P⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · t⁻¹·P·C_e²·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "power": "-1", "capacitance": "-2", "permeability": "-2"}
5
capacitance,conductivity,mass,power,time
m·t·P·C_e·σ
em,mechanics
m·t⁻⁵·P⁻¹·C_e²·σ⁻²
m = k₀ · t⁵·P·C_e⁻²·σ²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "power": "-1", "capacitance": "2", "conductivity": "-2"}
5
capacitance,mass,power,resistivity,time
m·t·P·C_e·ρ_e
em,mechanics
m·t⁻⁵·P⁻¹·C_e²·ρ_e²
m = k₀ · t⁵·P·C_e⁻²·ρ_e⁻²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "power": "-1", "capacitance": "2", "resistivity": "2"}
5
bfield,inductance,mass,power,time
m·t·P·L_e·B
em,mechanics
m²·t⁻⁵·P⁻¹·L_e·B⁻²
P = k₀ · m²·t⁻⁵·L_e·B⁻²
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "time": "-5", "power": "-1", "inductance": "1", "bfield": "-2"}
5
inductance,mass,permittivity,power,time
m·t·P·L_e·ε
em,mechanics
m·t·P⁻¹·L_e⁻²·ε⁻²
m = k₀ · t⁻¹·P·L_e²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "power": "-1", "inductance": "-2", "permittivity": "-2"}
5
inductance,mass,permeability,power,time
m·t·P·L_e·μ₀
em,mechanics
m·t⁻³·P⁻¹·L_e²·μ₀⁻²
m = k₀ · t³·P·L_e⁻²·μ₀²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "power": "-1", "inductance": "2", "permeability": "-2"}
5
conductivity,inductance,mass,power,time
m·t·P·L_e·σ
em,mechanics
m·t⁻¹·P⁻¹·L_e⁻²·σ⁻²
m = k₀ · t·P·L_e²·σ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "power": "-1", "inductance": "-2", "conductivity": "-2"}
5
inductance,mass,power,resistivity,time
m·t·P·L_e·ρ_e
em,mechanics
m·t⁻¹·P⁻¹·L_e⁻²·ρ_e²
m = k₀ · t·P·L_e²·ρ_e⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "power": "-1", "inductance": "-2", "resistivity": "2"}
5
bfield,efield,mass,power,time
m·t·P·E_f·B
em,mechanics
m·t⁻¹·P⁻¹·E_f²·B⁻²
m = k₀ · t·P·E_f⁻²·B²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "power": "-1", "efield": "2", "bfield": "-2"}
5
efield,mag_flux,mass,power,time
m·t·P·E_f·Φ
em,mechanics
m·t⁻⁵·P⁻¹·E_f⁻²·Φ²
m = k₀ · t⁵·P·E_f²·Φ⁻²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "power": "-1", "efield": "-2", "mag_flux": "2"}
5
efield,mass,permittivity,power,time
m·t·P·E_f·ε
em,mechanics
m³·t⁻⁷·P⁻¹·E_f⁻⁴·ε⁻²
P = k₀ · m³·t⁻⁷·E_f⁻⁴·ε⁻²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "power": "-1", "efield": "-4", "permittivity": "-2"}
5
efield,mass,permeability,power,time
m·t·P·E_f·μ₀
em,mechanics
m·t⁻⁵·P·E_f⁻⁴·μ₀²
m = k₀ · t⁵·P⁻¹·E_f⁴·μ₀⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "time": "-5", "power": "1", "efield": "-4", "permeability": "2"}
5
conductivity,efield,mass,power,time
m·t·P·E_f·σ
em,mechanics
m³·t⁻⁹·P⁻¹·E_f⁻⁴·σ⁻²
P = k₀ · m³·t⁻⁹·E_f⁻⁴·σ⁻²
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "time": "-9", "power": "-1", "efield": "-4", "conductivity": "-2"}
5
efield,mass,power,resistivity,time
m·t·P·E_f·ρ_e
em,mechanics
m³·t⁻⁹·P⁻¹·E_f⁻⁴·ρ_e²
P = k₀ · m³·t⁻⁹·E_f⁻⁴·ρ_e²
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "time": "-9", "power": "-1", "efield": "-4", "resistivity": "2"}
5
efield,elem_charge,mass,power,time
m·t·P·E_f·e
constants,em,mechanics
m·t⁻¹·P·E_f⁻²·e⁻²
m = k₀ · t·P⁻¹·E_f²·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "power": "1", "efield": "-2", "elem_charge": "-2"}
5
bfield,mag_flux,mass,power,time
m·t·P·B·Φ
em,mechanics
m·t⁻³·P⁻¹·B⁻¹·Φ
m = k₀ · t³·P·B·Φ⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "power": "-1", "bfield": "-1", "mag_flux": "1"}
5
bfield,mass,permittivity,power,time
m·t·P·B·ε
em,mechanics
m⁵·t⁻⁹·P⁻³·B⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·P⁻³ᐟ²·B⁻²
null
0
2
9
23
20.2
-10.7
false
{"mass": "5", "time": "-9", "power": "-3", "bfield": "-4", "permittivity": "-2"}
5
bfield,mass,permeability,power,time
m·t·P·B·μ₀
em,mechanics
m³·t⁻⁷·P⁻¹·B⁻⁴·μ₀²
P = k₀ · m³·t⁻⁷·B⁻⁴·μ₀²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "power": "-1", "bfield": "-4", "permeability": "2"}
5
bfield,conductivity,mass,power,time
m·t·P·B·σ
em,mechanics
m⁵·t⁻¹¹·P⁻³·B⁻⁴·σ⁻²
σ = k₀ · m⁵ᐟ²·t⁻¹¹ᐟ²·P⁻³ᐟ²·B⁻²
null
0
2
11
25
22.6
-13.1
false
{"mass": "5", "time": "-11", "power": "-3", "bfield": "-4", "conductivity": "-2"}
5
bfield,mass,power,resistivity,time
m·t·P·B·ρ_e
em,mechanics
m⁵·t⁻¹¹·P⁻³·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁵ᐟ²·t¹¹ᐟ²·P³ᐟ²·B²
null
0
2
11
25
22.6
-13.1
false
{"mass": "5", "time": "-11", "power": "-3", "bfield": "-4", "resistivity": "2"}
5
mag_flux,mass,permittivity,power,time
m·t·P·Φ·ε
em,mechanics
m·t³·P·Φ⁻⁴·ε⁻²
m = k₀ · t⁻³·P⁻¹·Φ⁴·ε²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "3", "power": "1", "mag_flux": "-4", "permittivity": "-2"}
5
mag_flux,mass,permeability,power,time
m·t·P·Φ·μ₀
em,mechanics
m·t⁻⁵·P⁻³·Φ⁴·μ₀⁻²
m = k₀ · t⁵·P³·Φ⁻⁴·μ₀²
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "time": "-5", "power": "-3", "mag_flux": "4", "permeability": "-2"}
5
conductivity,mag_flux,mass,power,time
m·t·P·Φ·σ
em,mechanics
m·t·P·Φ⁻⁴·σ⁻²
m = k₀ · t⁻¹·P⁻¹·Φ⁴·σ²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "1", "power": "1", "mag_flux": "-4", "conductivity": "-2"}
5
mag_flux,mass,power,resistivity,time
m·t·P·Φ·ρ_e
em,mechanics
m·t·P·Φ⁻⁴·ρ_e²
m = k₀ · t⁻¹·P⁻¹·Φ⁴·ρ_e⁻²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "1", "power": "1", "mag_flux": "-4", "resistivity": "2"}
5
mass,permeability,permittivity,power,time
m·t·P·ε·μ₀
em,mechanics
m·t⁻¹·P⁻¹·ε⁻¹·μ₀⁻¹
m = k₀ · t·P·ε·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "power": "-1", "permittivity": "-1", "permeability": "-1"}
5
elem_charge,mass,permittivity,power,time
m·t·P·ε·e
constants,em,mechanics
m·t⁻⁵·P⁻³·ε⁻²·e⁴
m = k₀ · t⁵·P³·ε²·e⁻⁴
null
1
3
5
15
13.2
-4.2
false
{"mass": "1", "time": "-5", "power": "-3", "permittivity": "-2", "elem_charge": "4"}
5
conductivity,mass,permeability,power,time
m·t·P·μ₀·σ
em,mechanics
m·t⁻²·P⁻¹·μ₀⁻¹·σ⁻¹
m = k₀ · t²·P·μ₀·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "power": "-1", "permeability": "-1", "conductivity": "-1"}
5
mass,permeability,power,resistivity,time
m·t·P·μ₀·ρ_e
em,mechanics
m·t⁻²·P⁻¹·μ₀⁻¹·ρ_e
m = k₀ · t²·P·μ₀·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "power": "-1", "permeability": "-1", "resistivity": "1"}
5
elem_charge,mass,permeability,power,time
m·t·P·μ₀·e
constants,em,mechanics
m·t³·P·μ₀⁻²·e⁻⁴
m = k₀ · t⁻³·P⁻¹·μ₀²·e⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "3", "power": "1", "permeability": "-2", "elem_charge": "-4"}