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
efield,mass,resistivity,time,volume
m·t·V·E_f·ρ_e
em,mechanics
m³·t⁻⁹·V⁻¹·E_f⁻⁶·ρ_e³
V = k₀ · m³·t⁻⁹·E_f⁻⁶·ρ_e³
null
0
2
9
22
19.5
-10
false
{"mass": "3", "time": "-9", "volume": "-1", "efield": "-6", "resistivity": "3"}
5
efield,elem_charge,mass,time,volume
m·t·V·E_f·e
constants,em,mechanics
m³·t⁻⁶·V·E_f⁻³·e⁻³
V = k₀ · m⁻³·t⁶·E_f³·e³
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "time": "-6", "volume": "1", "efield": "-3", "elem_charge": "-3"}
5
bfield,mass,permeability,time,volume
m·t·V·B·μ₀
em,mechanics
m³·t⁻⁶·V⁻¹·B⁻⁶·μ₀³
V = k₀ · m³·t⁻⁶·B⁻⁶·μ₀³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "time": "-6", "volume": "-1", "bfield": "-6", "permeability": "3"}
5
bfield,conductivity,mass,time,volume
m·t·V·B·σ
em,mechanics
m·t⁻¹·V⁻¹·B⁻²·σ⁻¹
m = k₀ · t·V·B²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "volume": "-1", "bfield": "-2", "conductivity": "-1"}
5
bfield,mass,resistivity,time,volume
m·t·V·B·ρ_e
em,mechanics
m·t⁻¹·V⁻¹·B⁻²·ρ_e
m = k₀ · t·V·B²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "volume": "-1", "bfield": "-2", "resistivity": "1"}
5
mag_flux,mass,permeability,time,volume
m·t·V·Φ·μ₀
em,mechanics
m·t⁻²·V·Φ⁻²·μ₀
m = k₀ · t²·V⁻¹·Φ²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "volume": "1", "mag_flux": "-2", "permeability": "1"}
5
conductivity,mag_flux,mass,time,volume
m·t·V·Φ·σ
em,mechanics
m³·t⁻³·V·Φ⁻⁶·σ⁻³
V = k₀ · m⁻³·t³·Φ⁶·σ³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-3", "volume": "1", "mag_flux": "-6", "conductivity": "-3"}
5
mag_flux,mass,resistivity,time,volume
m·t·V·Φ·ρ_e
em,mechanics
m³·t⁻³·V·Φ⁻⁶·ρ_e³
V = k₀ · m⁻³·t³·Φ⁶·ρ_e⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-3", "volume": "1", "mag_flux": "-6", "resistivity": "3"}
5
elem_charge,mag_flux,mass,time,volume
m·t·V·Φ·e
constants,em,mechanics
m³·t⁻³·V²·Φ⁻³·e⁻³
V = k₀ · m⁻³ᐟ²·t³ᐟ²·Φ³ᐟ²·e³ᐟ²
null
1
3
3
14
11.5
-2.5
false
{"mass": "3", "time": "-3", "volume": "2", "mag_flux": "-3", "elem_charge": "-3"}
5
elem_charge,mass,permittivity,time,volume
m·t·V·ε·e
constants,em,mechanics
m·t⁻²·V·ε·e⁻²
m = k₀ · t²·V⁻¹·ε⁻¹·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "volume": "1", "permittivity": "1", "elem_charge": "-2"}
5
conductivity,elem_charge,mass,time,volume
m·t·V·σ·e
constants,em,mechanics
m·t⁻¹·V·σ·e⁻²
m = k₀ · t·V⁻¹·σ⁻¹·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "volume": "1", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,resistivity,time,volume
m·t·V·ρ_e·e
constants,em,mechanics
m·t⁻¹·V·ρ_e⁻¹·e⁻²
m = k₀ · t·V⁻¹·ρ_e·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "volume": "1", "resistivity": "-1", "elem_charge": "-2"}
5
amount,mass,molar_energy,time,volume
m·t·V·n·E_m
chemistry,mechanics
m³·t⁻⁶·V²·n⁻³·E_m⁻³
V = k₀ · m⁻³ᐟ²·t³·n³ᐟ²·E_m³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "time": "-6", "volume": "2", "amount": "-3", "molar_energy": "-3"}
5
concentration,mass,molar_energy,time,volume
m·t·V·c_n·E_m
chemistry,mechanics
m³·t⁻⁶·V⁻¹·c_n⁻³·E_m⁻³
V = k₀ · m³·t⁻⁶·c_n⁻³·E_m⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-6", "volume": "-1", "concentration": "-3", "molar_energy": "-3"}
6
boltzmann,gas_constant,mass,molar_energy,time,volume
m·t·V·E_m·R·k_B
chemistry,constants,mechanics
m³·t⁻⁶·V²·E_m⁻³·R³·k_B⁻³
V = k₀ · m⁻³ᐟ²·t³·E_m³ᐟ²·R⁻³ᐟ²·k_B³ᐟ²
null
1
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-6", "volume": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
cat_activity,mass,molar_energy,time,volume
m·t·V·E_m·z
chemistry,mechanics
m³·t⁻⁹·V²·E_m⁻³·z⁻³
V = k₀ · m⁻³ᐟ²·t⁹ᐟ²·E_m³ᐟ²·z³ᐟ²
null
0
2
9
20
18.1
-8.6
false
{"mass": "3", "time": "-9", "volume": "2", "molar_energy": "-3", "cat_activity": "-3"}
5
avogadro,mass,molar_energy,time,volume
m·t·V·E_m·N_A
chemistry,constants,mechanics
m³·t⁻⁶·V²·E_m⁻³·N_A³
V = k₀ · m⁻³ᐟ²·t³·E_m³ᐟ²·N_A⁻³ᐟ²
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "time": "-6", "volume": "2", "molar_energy": "-3", "avogadro": "3"}
4
grav_const,mass,time,volume
m·t·V·G
constants,mechanics
m·t²·V⁻¹·G
m = k₀ · t⁻²·V·G⁻¹
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "time": "2", "volume": "-1", "grav_const": "1"}
4
mass,planck,time,volume
m·t·V·h
constants,mechanics
m³·t⁻³·V²·h⁻³
V = k₀ · m⁻³ᐟ²·t³ᐟ²·h³ᐟ²
null
1
2
3
11
8.5
1
false
{"mass": "3", "time": "-3", "volume": "2", "planck": "-3"}
5
entropy,flowrate,mass,temperature,time
m·t·Q·Θ·S_e
mechanics,thermo
m³·t⁻⁴·Q²·Θ⁻³·S_e⁻³
Q = k₀ · m⁻³ᐟ²·t²·Θ³ᐟ²·S_e³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "temperature": "-3", "entropy": "-3"}
5
flowrate,heat_capacity,mass,temperature,time
m·t·Q·Θ·C
mechanics,thermo
m³·t⁻⁴·Q²·Θ⁻³·C⁻³
Q = k₀ · m⁻³ᐟ²·t²·Θ³ᐟ²·C³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "temperature": "-3", "heat_capacity": "-3"}
5
flowrate,mass,temperature,thermal_cond,time
m·t·Q·Θ·κ
mechanics,thermo
m³·t⁻⁸·Q·Θ⁻³·κ⁻³
Q = k₀ · m⁻³·t⁸·Θ³·κ³
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "time": "-8", "flowrate": "1", "temperature": "-3", "thermal_cond": "-3"}
6
amount,flowrate,gas_constant,mass,temperature,time
m·t·Q·Θ·n·R
chemistry,mechanics,thermo
m³·t⁻⁴·Q²·Θ⁻³·n⁻³·R⁻³
Q = k₀ · m⁻³ᐟ²·t²·Θ³ᐟ²·n³ᐟ²·R³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "3", "time": "-4", "flowrate": "2", "temperature": "-3", "amount": "-3", "gas_constant": "-3"}
6
concentration,flowrate,gas_constant,mass,temperature,time
m·t·Q·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁷·Q⁻¹·Θ⁻³·c_n⁻³·R⁻³
Q = k₀ · m³·t⁻⁷·Θ⁻³·c_n⁻³·R⁻³
null
0
3
7
20
18
-9
false
{"mass": "3", "time": "-7", "flowrate": "-1", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,flowrate,gas_constant,mass,temperature,time
m·t·Q·Θ·R·z
chemistry,mechanics,thermo
m³·t⁻⁷·Q²·Θ⁻³·R⁻³·z⁻³
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·Θ³ᐟ²·R³ᐟ²·z³ᐟ²
null
0
3
7
21
18.7
-9.7
false
{"mass": "3", "time": "-7", "flowrate": "2", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,flowrate,gas_constant,mass,temperature,time
m·t·Q·Θ·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁴·Q²·Θ⁻³·R⁻³·N_A³
Q = k₀ · m⁻³ᐟ²·t²·Θ³ᐟ²·R³ᐟ²·N_A⁻³ᐟ²
null
1
4
4
18
15.7
-7.2
false
{"mass": "3", "time": "-4", "flowrate": "2", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,flowrate,mass,temperature,time
m·t·Q·Θ·k_B
constants,mechanics,thermo
m³·t⁻⁴·Q²·Θ⁻³·k_B⁻³
Q = k₀ · m⁻³ᐟ²·t²·Θ³ᐟ²·k_B³ᐟ²
null
1
3
4
15
12.7
-3.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "temperature": "-3", "boltzmann": "-3"}
5
entropy,expansion,flowrate,mass,time
m·t·Q·S_e·β
mechanics,thermo
m³·t⁻⁴·Q²·S_e⁻³·β³
Q = k₀ · m⁻³ᐟ²·t²·S_e³ᐟ²·β⁻³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "entropy": "-3", "expansion": "3"}
6
entropy,flowrate,gas_constant,mass,molar_energy,time
m·t·Q·S_e·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁴·Q²·S_e⁻³·E_m⁻³·R³
Q = k₀ · m⁻³ᐟ²·t²·S_e³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "3", "time": "-4", "flowrate": "2", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
expansion,flowrate,heat_capacity,mass,time
m·t·Q·C·β
mechanics,thermo
m³·t⁻⁴·Q²·C⁻³·β³
Q = k₀ · m⁻³ᐟ²·t²·C³ᐟ²·β⁻³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "heat_capacity": "-3", "expansion": "3"}
6
flowrate,gas_constant,heat_capacity,mass,molar_energy,time
m·t·Q·C·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁴·Q²·C⁻³·E_m⁻³·R³
Q = k₀ · m⁻³ᐟ²·t²·C³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "3", "time": "-4", "flowrate": "2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
flowrate,mass,specific_heat,thermal_cond,time
m·t·Q·c·κ
mechanics,thermo
m³·t⁻⁴·Q⁻¹·c³·κ⁻³
Q = k₀ · m³·t⁻⁴·c³·κ⁻³
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "time": "-4", "flowrate": "-1", "specific_heat": "3", "thermal_cond": "-3"}
6
concentration,flowrate,gas_constant,mass,specific_heat,time
m·t·Q·c·c_n·R
chemistry,mechanics,thermo
m·t⁻¹·Q⁻¹·c·c_n⁻¹·R⁻¹
m = k₀ · t·Q·c⁻¹·c_n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "flowrate": "-1", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
expansion,flowrate,mass,thermal_cond,time
m·t·Q·κ·β
mechanics,thermo
m³·t⁻⁸·Q·κ⁻³·β³
Q = k₀ · m⁻³·t⁸·κ³·β⁻³
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "time": "-8", "flowrate": "1", "thermal_cond": "-3", "expansion": "3"}
6
flowrate,gas_constant,mass,molar_mass,thermal_cond,time
m·t·Q·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻⁴·Q⁻¹·κ⁻³·M_m⁻³·R³
Q = k₀ · m³·t⁻⁴·κ⁻³·M_m⁻³·R³
null
0
3
4
17
14.4
-5.4
false
{"mass": "3", "time": "-4", "flowrate": "-1", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
flowrate,gas_constant,mass,molar_energy,thermal_cond,time
m·t·Q·κ·E_m·R
chemistry,mechanics,thermo
m³·t⁻⁸·Q·κ⁻³·E_m⁻³·R³
Q = k₀ · m⁻³·t⁸·κ³·E_m³·R⁻³
null
0
3
8
21
19.2
-10.2
false
{"mass": "3", "time": "-8", "flowrate": "1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
amount,expansion,flowrate,gas_constant,mass,time
m·t·Q·β·n·R
chemistry,mechanics,thermo
m³·t⁻⁴·Q²·β³·n⁻³·R⁻³
Q = k₀ · m⁻³ᐟ²·t²·β⁻³ᐟ²·n³ᐟ²·R³ᐟ²
null
0
3
4
18
15.1
-6.1
false
{"mass": "3", "time": "-4", "flowrate": "2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
concentration,expansion,flowrate,gas_constant,mass,time
m·t·Q·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁷·Q⁻¹·β³·c_n⁻³·R⁻³
Q = k₀ · m³·t⁻⁷·β³·c_n⁻³·R⁻³
null
0
3
7
20
18
-9
false
{"mass": "3", "time": "-7", "flowrate": "-1", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
cat_activity,expansion,flowrate,gas_constant,mass,time
m·t·Q·β·R·z
chemistry,mechanics,thermo
m³·t⁻⁷·Q²·β³·R⁻³·z⁻³
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·β⁻³ᐟ²·R³ᐟ²·z³ᐟ²
null
0
3
7
21
18.7
-9.7
false
{"mass": "3", "time": "-7", "flowrate": "2", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,expansion,flowrate,gas_constant,mass,time
m·t·Q·β·R·N_A
chemistry,constants,mechanics,thermo
m³·t⁻⁴·Q²·β³·R⁻³·N_A³
Q = k₀ · m⁻³ᐟ²·t²·β⁻³ᐟ²·R³ᐟ²·N_A⁻³ᐟ²
null
1
4
4
18
15.7
-7.2
false
{"mass": "3", "time": "-4", "flowrate": "2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,expansion,flowrate,mass,time
m·t·Q·β·k_B
constants,mechanics,thermo
m³·t⁻⁴·Q²·β³·k_B⁻³
Q = k₀ · m⁻³ᐟ²·t²·β⁻³ᐟ²·k_B³ᐟ²
null
1
3
4
15
12.7
-3.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "expansion": "3", "boltzmann": "-3"}
5
charge,flowrate,mass,time,voltage
m·t·Q·q·U
em,mechanics
m³·t⁻⁴·Q²·q⁻³·U⁻³
Q = k₀ · m⁻³ᐟ²·t²·q³ᐟ²·U³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "charge": "-3", "voltage": "-3"}
5
charge,flowrate,mass,resistance,time
m·t·Q·q·R
em,mechanics
m³·t⁻¹·Q²·q⁻⁶·R⁻³
t = k₀ · m³·Q²·q⁻⁶·R⁻³
null
0
2
6
15
13.1
-3.6
false
{"mass": "3", "time": "-1", "flowrate": "2", "charge": "-6", "resistance": "-3"}
5
capacitance,charge,flowrate,mass,time
m·t·Q·q·C_e
em,mechanics
m³·t⁻⁴·Q²·q⁻⁶·C_e³
Q = k₀ · m⁻³ᐟ²·t²·q³·C_e⁻³ᐟ²
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "charge": "-6", "capacitance": "3"}
5
charge,flowrate,inductance,mass,time
m·t·Q·q·L_e
em,mechanics
m³·t²·Q²·q⁻⁶·L_e⁻³
t = k₀ · m⁻³ᐟ²·Q⁻¹·q³·L_e³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "2", "flowrate": "2", "charge": "-6", "inductance": "-3"}
5
charge,efield,flowrate,mass,time
m·t·Q·q·E_f
em,mechanics
m³·t⁻⁵·Q·q⁻³·E_f⁻³
Q = k₀ · m⁻³·t⁵·q³·E_f³
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "time": "-5", "flowrate": "1", "charge": "-3", "efield": "-3"}
5
charge,flowrate,mag_flux,mass,time
m·t·Q·q·Φ
em,mechanics
m³·t⁻¹·Q²·q⁻³·Φ⁻³
t = k₀ · m³·Q²·q⁻³·Φ⁻³
null
0
2
3
12
9.5
0
false
{"mass": "3", "time": "-1", "flowrate": "2", "charge": "-3", "mag_flux": "-3"}
5
charge,flowrate,mass,permittivity,time
m·t·Q·q·ε
em,mechanics
m·t⁻¹·Q·q⁻²·ε
m = k₀ · t·Q⁻¹·q²·ε⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "flowrate": "1", "charge": "-2", "permittivity": "1"}
5
charge,flowrate,mass,permeability,time
m·t·Q·q·μ₀
em,mechanics
m³·t·Q·q⁻⁶·μ₀⁻³
t = k₀ · m⁻³·Q⁻¹·q⁶·μ₀³
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "1", "flowrate": "1", "charge": "-6", "permeability": "-3"}
5
current,flowrate,mass,time,voltage
m·t·Q·i·U
em,mechanics
m³·t⁻⁷·Q²·i⁻³·U⁻³
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·i³ᐟ²·U³ᐟ²
null
0
2
7
18
15.7
-6.2
false
{"mass": "3", "time": "-7", "flowrate": "2", "current": "-3", "voltage": "-3"}
5
current,flowrate,mass,resistance,time
m·t·Q·i·R
em,mechanics
m³·t⁻⁷·Q²·i⁻⁶·R⁻³
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·i³·R³ᐟ²
null
0
2
7
21
17.8
-8.3
false
{"mass": "3", "time": "-7", "flowrate": "2", "current": "-6", "resistance": "-3"}
5
capacitance,current,flowrate,mass,time
m·t·Q·i·C_e
em,mechanics
m³·t⁻¹⁰·Q²·i⁻⁶·C_e³
Q = k₀ · m⁻³ᐟ²·t⁵·i³·C_e⁻³ᐟ²
null
0
2
10
24
21.4
-11.9
false
{"mass": "3", "time": "-10", "flowrate": "2", "current": "-6", "capacitance": "3"}
5
current,flowrate,inductance,mass,time
m·t·Q·i·L_e
em,mechanics
m³·t⁻⁴·Q²·i⁻⁶·L_e⁻³
Q = k₀ · m⁻³ᐟ²·t²·i³·L_e³ᐟ²
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "current": "-6", "inductance": "-3"}
5
current,efield,flowrate,mass,time
m·t·Q·i·E_f
em,mechanics
m³·t⁻⁸·Q·i⁻³·E_f⁻³
Q = k₀ · m⁻³·t⁸·i³·E_f³
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "time": "-8", "flowrate": "1", "current": "-3", "efield": "-3"}
5
current,flowrate,mag_flux,mass,time
m·t·Q·i·Φ
em,mechanics
m³·t⁻⁴·Q²·i⁻³·Φ⁻³
Q = k₀ · m⁻³ᐟ²·t²·i³ᐟ²·Φ³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "current": "-3", "mag_flux": "-3"}
5
current,flowrate,mass,permittivity,time
m·t·Q·i·ε
em,mechanics
m·t⁻³·Q·i⁻²·ε
m = k₀ · t³·Q⁻¹·i²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "flowrate": "1", "current": "-2", "permittivity": "1"}
5
current,flowrate,mass,permeability,time
m·t·Q·i·μ₀
em,mechanics
m³·t⁻⁵·Q·i⁻⁶·μ₀⁻³
Q = k₀ · m⁻³·t⁵·i⁶·μ₀³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "time": "-5", "flowrate": "1", "current": "-6", "permeability": "-3"}
5
conductivity,current,flowrate,mass,time
m·t·Q·i·σ
em,mechanics
m·t⁻²·Q·i⁻²·σ
m = k₀ · t²·Q⁻¹·i²·σ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "flowrate": "1", "current": "-2", "conductivity": "1"}
5
current,flowrate,mass,resistivity,time
m·t·Q·i·ρ_e
em,mechanics
m·t⁻²·Q·i⁻²·ρ_e⁻¹
m = k₀ · t²·Q⁻¹·i²·ρ_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "flowrate": "1", "current": "-2", "resistivity": "-1"}
5
flowrate,mass,resistance,time,voltage
m·t·Q·U·R
em,mechanics
m³·t⁻⁷·Q²·U⁻⁶·R³
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·U³·R⁻³ᐟ²
null
0
2
7
21
17.8
-8.3
false
{"mass": "3", "time": "-7", "flowrate": "2", "voltage": "-6", "resistance": "3"}
5
capacitance,flowrate,mass,time,voltage
m·t·Q·U·C_e
em,mechanics
m³·t⁻⁴·Q²·U⁻⁶·C_e⁻³
Q = k₀ · m⁻³ᐟ²·t²·U³·C_e³ᐟ²
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "voltage": "-6", "capacitance": "-3"}
5
flowrate,inductance,mass,time,voltage
m·t·Q·U·L_e
em,mechanics
m³·t⁻¹⁰·Q²·U⁻⁶·L_e³
Q = k₀ · m⁻³ᐟ²·t⁵·U³·L_e⁻³ᐟ²
null
0
2
10
24
21.4
-11.9
false
{"mass": "3", "time": "-10", "flowrate": "2", "voltage": "-6", "inductance": "3"}
5
flowrate,mass,permittivity,time,voltage
m·t·Q·U·ε
em,mechanics
m³·t⁻⁵·Q·U⁻⁶·ε⁻³
Q = k₀ · m⁻³·t⁵·U⁶·ε³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "time": "-5", "flowrate": "1", "voltage": "-6", "permittivity": "-3"}
5
flowrate,mass,permeability,time,voltage
m·t·Q·U·μ₀
em,mechanics
m·t⁻³·Q·U⁻²·μ₀
m = k₀ · t³·Q⁻¹·U²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "time": "-3", "flowrate": "1", "voltage": "-2", "permeability": "1"}
5
conductivity,flowrate,mass,time,voltage
m·t·Q·U·σ
em,mechanics
m³·t⁻⁸·Q·U⁻⁶·σ⁻³
Q = k₀ · m⁻³·t⁸·U⁶·σ³
null
0
2
8
21
18.3
-8.8
false
{"mass": "3", "time": "-8", "flowrate": "1", "voltage": "-6", "conductivity": "-3"}
5
flowrate,mass,resistivity,time,voltage
m·t·Q·U·ρ_e
em,mechanics
m³·t⁻⁸·Q·U⁻⁶·ρ_e³
Q = k₀ · m⁻³·t⁸·U⁶·ρ_e⁻³
null
0
2
8
21
18.3
-8.8
false
{"mass": "3", "time": "-8", "flowrate": "1", "voltage": "-6", "resistivity": "3"}
5
elem_charge,flowrate,mass,time,voltage
m·t·Q·U·e
constants,em,mechanics
m³·t⁻⁴·Q²·U⁻³·e⁻³
Q = k₀ · m⁻³ᐟ²·t²·U³ᐟ²·e³ᐟ²
null
1
3
4
15
12.7
-3.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "voltage": "-3", "elem_charge": "-3"}
5
bfield,flowrate,mass,resistance,time
m·t·Q·R·B
em,mechanics
m³·t⁻⁵·Q⁻²·R³·B⁻⁶
Q = k₀ · m³ᐟ²·t⁻⁵ᐟ²·R³ᐟ²·B⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "time": "-5", "flowrate": "-2", "resistance": "3", "bfield": "-6"}
5
flowrate,mag_flux,mass,resistance,time
m·t·Q·R·Φ
em,mechanics
m³·t⁻¹·Q²·R³·Φ⁻⁶
t = k₀ · m³·Q²·R³·Φ⁻⁶
null
0
2
6
15
13.1
-3.6
false
{"mass": "3", "time": "-1", "flowrate": "2", "resistance": "3", "mag_flux": "-6"}
5
elem_charge,flowrate,mass,resistance,time
m·t·Q·R·e
constants,em,mechanics
m³·t⁻¹·Q²·R⁻³·e⁻⁶
t = k₀ · m³·Q²·R⁻³·e⁻⁶
null
1
3
6
15
13.7
-4.7
false
{"mass": "3", "time": "-1", "flowrate": "2", "resistance": "-3", "elem_charge": "-6"}
5
bfield,capacitance,flowrate,mass,time
m·t·Q·C_e·B
em,mechanics
m³·t⁻²·Q⁻²·C_e⁻³·B⁻⁶
t = k₀ · m³ᐟ²·Q⁻¹·C_e⁻³ᐟ²·B⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "-2", "flowrate": "-2", "capacitance": "-3", "bfield": "-6"}
5
capacitance,flowrate,mag_flux,mass,time
m·t·Q·C_e·Φ
em,mechanics
m³·t²·Q²·C_e⁻³·Φ⁻⁶
t = k₀ · m⁻³ᐟ²·Q⁻¹·C_e³ᐟ²·Φ³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "time": "2", "flowrate": "2", "capacitance": "-3", "mag_flux": "-6"}
5
capacitance,elem_charge,flowrate,mass,time
m·t·Q·C_e·e
constants,em,mechanics
m³·t⁻⁴·Q²·C_e³·e⁻⁶
Q = k₀ · m⁻³ᐟ²·t²·C_e⁻³ᐟ²·e³
null
1
3
6
18
15.8
-6.8
false
{"mass": "3", "time": "-4", "flowrate": "2", "capacitance": "3", "elem_charge": "-6"}
5
bfield,flowrate,inductance,mass,time
m·t·Q·L_e·B
em,mechanics
m³·t⁻⁸·Q⁻²·L_e³·B⁻⁶
Q = k₀ · m³ᐟ²·t⁻⁴·L_e³ᐟ²·B⁻³
null
0
2
8
22
19
-9.5
false
{"mass": "3", "time": "-8", "flowrate": "-2", "inductance": "3", "bfield": "-6"}
5
flowrate,inductance,mag_flux,mass,time
m·t·Q·L_e·Φ
em,mechanics
m³·t⁻⁴·Q²·L_e³·Φ⁻⁶
Q = k₀ · m⁻³ᐟ²·t²·L_e⁻³ᐟ²·Φ³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "inductance": "3", "mag_flux": "-6"}
5
elem_charge,flowrate,inductance,mass,time
m·t·Q·L_e·e
constants,em,mechanics
m³·t²·Q²·L_e⁻³·e⁻⁶
t = k₀ · m⁻³ᐟ²·Q⁻¹·L_e³ᐟ²·e³
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "time": "2", "flowrate": "2", "inductance": "-3", "elem_charge": "-6"}
5
efield,flowrate,mass,permittivity,time
m·t·Q·E_f·ε
em,mechanics
m³·t⁻⁷·Q⁻¹·E_f⁻⁶·ε⁻³
Q = k₀ · m³·t⁻⁷·E_f⁻⁶·ε⁻³
null
0
2
7
20
17.1
-7.6
false
{"mass": "3", "time": "-7", "flowrate": "-1", "efield": "-6", "permittivity": "-3"}
5
efield,flowrate,mass,permeability,time
m·t·Q·E_f·μ₀
em,mechanics
m³·t⁻¹¹·Q·E_f⁻⁶·μ₀³
Q = k₀ · m⁻³·t¹¹·E_f⁶·μ₀⁻³
null
0
2
11
24
21.9
-12.4
false
{"mass": "3", "time": "-11", "flowrate": "1", "efield": "-6", "permeability": "3"}
5
conductivity,efield,flowrate,mass,time
m·t·Q·E_f·σ
em,mechanics
m³·t⁻¹⁰·Q⁻¹·E_f⁻⁶·σ⁻³
Q = k₀ · m³·t⁻¹⁰·E_f⁻⁶·σ⁻³
null
0
2
10
23
20.7
-11.2
false
{"mass": "3", "time": "-10", "flowrate": "-1", "efield": "-6", "conductivity": "-3"}
5
efield,flowrate,mass,resistivity,time
m·t·Q·E_f·ρ_e
em,mechanics
m³·t⁻¹⁰·Q⁻¹·E_f⁻⁶·ρ_e³
Q = k₀ · m³·t⁻¹⁰·E_f⁻⁶·ρ_e³
null
0
2
10
23
20.7
-11.2
false
{"mass": "3", "time": "-10", "flowrate": "-1", "efield": "-6", "resistivity": "3"}
5
efield,elem_charge,flowrate,mass,time
m·t·Q·E_f·e
constants,em,mechanics
m³·t⁻⁵·Q·E_f⁻³·e⁻³
Q = k₀ · m⁻³·t⁵·E_f³·e³
null
1
3
5
15
13.2
-4.2
false
{"mass": "3", "time": "-5", "flowrate": "1", "efield": "-3", "elem_charge": "-3"}
5
bfield,flowrate,mass,permittivity,time
m·t·Q·B·ε
em,mechanics
m·t⁻¹·Q⁻¹·B⁻²·ε⁻¹
m = k₀ · t·Q·B²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "flowrate": "-1", "bfield": "-2", "permittivity": "-1"}
5
bfield,flowrate,mass,permeability,time
m·t·Q·B·μ₀
em,mechanics
m³·t⁻⁷·Q⁻¹·B⁻⁶·μ₀³
Q = k₀ · m³·t⁻⁷·B⁻⁶·μ₀³
null
0
2
7
20
17.1
-7.6
false
{"mass": "3", "time": "-7", "flowrate": "-1", "bfield": "-6", "permeability": "3"}
5
bfield,conductivity,flowrate,mass,time
m·t·Q·B·σ
em,mechanics
m·t⁻²·Q⁻¹·B⁻²·σ⁻¹
m = k₀ · t²·Q·B²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "flowrate": "-1", "bfield": "-2", "conductivity": "-1"}
5
bfield,flowrate,mass,resistivity,time
m·t·Q·B·ρ_e
em,mechanics
m·t⁻²·Q⁻¹·B⁻²·ρ_e
m = k₀ · t²·Q·B²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-2", "flowrate": "-1", "bfield": "-2", "resistivity": "1"}
5
flowrate,mag_flux,mass,permittivity,time
m·t·Q·Φ·ε
em,mechanics
m³·t·Q·Φ⁻⁶·ε⁻³
t = k₀ · m⁻³·Q⁻¹·Φ⁶·ε³
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "time": "1", "flowrate": "1", "mag_flux": "-6", "permittivity": "-3"}
5
flowrate,mag_flux,mass,permeability,time
m·t·Q·Φ·μ₀
em,mechanics
m·t⁻¹·Q·Φ⁻²·μ₀
m = k₀ · t·Q⁻¹·Φ²·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-1", "flowrate": "1", "mag_flux": "-2", "permeability": "1"}
5
conductivity,flowrate,mag_flux,mass,time
m·t·Q·Φ·σ
em,mechanics
m³·t⁻²·Q·Φ⁻⁶·σ⁻³
Q = k₀ · m⁻³·t²·Φ⁶·σ³
null
0
2
6
15
13.1
-3.6
false
{"mass": "3", "time": "-2", "flowrate": "1", "mag_flux": "-6", "conductivity": "-3"}
5
flowrate,mag_flux,mass,resistivity,time
m·t·Q·Φ·ρ_e
em,mechanics
m³·t⁻²·Q·Φ⁻⁶·ρ_e³
Q = k₀ · m⁻³·t²·Φ⁶·ρ_e⁻³
null
0
2
6
15
13.1
-3.6
false
{"mass": "3", "time": "-2", "flowrate": "1", "mag_flux": "-6", "resistivity": "3"}
5
elem_charge,flowrate,mag_flux,mass,time
m·t·Q·Φ·e
constants,em,mechanics
m³·t⁻¹·Q²·Φ⁻³·e⁻³
t = k₀ · m³·Q²·Φ⁻³·e⁻³
null
1
3
3
12
10.1
-1.1
false
{"mass": "3", "time": "-1", "flowrate": "2", "mag_flux": "-3", "elem_charge": "-3"}
5
elem_charge,flowrate,mass,permittivity,time
m·t·Q·ε·e
constants,em,mechanics
m·t⁻¹·Q·ε·e⁻²
m = k₀ · t·Q⁻¹·ε⁻¹·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "flowrate": "1", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,flowrate,mass,permeability,time
m·t·Q·μ₀·e
constants,em,mechanics
m³·t·Q·μ₀⁻³·e⁻⁶
t = k₀ · m⁻³·Q⁻¹·μ₀³·e⁶
null
1
3
6
14
13
-4
false
{"mass": "3", "time": "1", "flowrate": "1", "permeability": "-3", "elem_charge": "-6"}
5
amount,flowrate,mass,molar_energy,time
m·t·Q·n·E_m
chemistry,mechanics
m³·t⁻⁴·Q²·n⁻³·E_m⁻³
Q = k₀ · m⁻³ᐟ²·t²·n³ᐟ²·E_m³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "time": "-4", "flowrate": "2", "amount": "-3", "molar_energy": "-3"}
5
concentration,flowrate,mass,molar_mass,time
m·t·Q·M_m·c_n
chemistry,mechanics
m·t⁻¹·Q⁻¹·M_m⁻¹·c_n⁻¹
m = k₀ · t·Q·M_m·c_n
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "flowrate": "-1", "molar_mass": "-1", "concentration": "-1"}
5
concentration,flowrate,mass,molar_energy,time
m·t·Q·c_n·E_m
chemistry,mechanics
m³·t⁻⁷·Q⁻¹·c_n⁻³·E_m⁻³
Q = k₀ · m³·t⁻⁷·c_n⁻³·E_m⁻³
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "flowrate": "-1", "concentration": "-3", "molar_energy": "-3"}
6
boltzmann,flowrate,gas_constant,mass,molar_energy,time
m·t·Q·E_m·R·k_B
chemistry,constants,mechanics
m³·t⁻⁴·Q²·E_m⁻³·R³·k_B⁻³
Q = k₀ · m⁻³ᐟ²·t²·E_m³ᐟ²·R⁻³ᐟ²·k_B³ᐟ²
null
1
3
4
18
15.1
-6.1
false
{"mass": "3", "time": "-4", "flowrate": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
cat_activity,flowrate,mass,molar_energy,time
m·t·Q·E_m·z
chemistry,mechanics
m³·t⁻⁷·Q²·E_m⁻³·z⁻³
Q = k₀ · m⁻³ᐟ²·t⁷ᐟ²·E_m³ᐟ²·z³ᐟ²
null
0
2
7
18
15.7
-6.2
false
{"mass": "3", "time": "-7", "flowrate": "2", "molar_energy": "-3", "cat_activity": "-3"}
5
avogadro,flowrate,mass,molar_energy,time
m·t·Q·E_m·N_A
chemistry,constants,mechanics
m³·t⁻⁴·Q²·E_m⁻³·N_A³
Q = k₀ · m⁻³ᐟ²·t²·E_m³ᐟ²·N_A⁻³ᐟ²
null
1
3
4
15
12.7
-3.7
false
{"mass": "3", "time": "-4", "flowrate": "2", "molar_energy": "-3", "avogadro": "3"}
4
flowrate,grav_const,mass,time
m·t·Q·G
constants,mechanics
m·t·Q⁻¹·G
m = k₀ · t⁻¹·Q·G⁻¹
null
1
2
1
4
2.6
6.9
true
{"mass": "1", "time": "1", "flowrate": "-1", "grav_const": "1"}
4
flowrate,mass,planck,time
m·t·Q·h
constants,mechanics
m³·t⁻¹·Q²·h⁻³
t = k₀ · m³·Q²·h⁻³
null
1
2
3
9
7.1
2.4
false
{"mass": "3", "time": "-1", "flowrate": "2", "planck": "-3"}