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
bfield,mass,resistance,velocity,volume
m·v·V·R·B
em,mechanics
m·v·V⁻¹·R·B⁻²
m = k₀ · v⁻¹·V·R⁻¹·B²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "volume": "-1", "resistance": "1", "bfield": "-2"}
5
mag_flux,mass,resistance,velocity,volume
m·v·V·R·Φ
em,mechanics
m³·v³·V·R³·Φ⁻⁶
V = k₀ · m⁻³·v⁻³·R⁻³·Φ⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "3", "volume": "1", "resistance": "3", "mag_flux": "-6"}
5
elem_charge,mass,resistance,velocity,volume
m·v·V·R·e
constants,em,mechanics
m³·v³·V·R⁻³·e⁻⁶
V = k₀ · m⁻³·v⁻³·R³·e⁶
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "velocity": "3", "volume": "1", "resistance": "-3", "elem_charge": "-6"}
5
capacitance,efield,mass,velocity,volume
m·v·V·C_e·E_f
em,mechanics
m³·v⁶·V⁻²·C_e⁻³·E_f⁻⁶
V = k₀ · m³ᐟ²·v³·C_e⁻³ᐟ²·E_f⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "velocity": "6", "volume": "-2", "capacitance": "-3", "efield": "-6"}
5
efield,inductance,mass,velocity,volume
m·v·V·L_e·E_f
em,mechanics
m³·v¹²·V⁻⁴·L_e³·E_f⁻⁶
m = k₀ · v⁻⁴·V⁴ᐟ³·L_e⁻¹·E_f²
null
0
2
12
28
25.2
-15.7
false
{"mass": "3", "velocity": "12", "volume": "-4", "inductance": "3", "efield": "-6"}
5
bfield,inductance,mass,velocity,volume
m·v·V·L_e·B
em,mechanics
m³·v⁶·V⁻⁴·L_e³·B⁻⁶
m = k₀ · v⁻²·V⁴ᐟ³·L_e⁻¹·B²
null
0
2
6
22
18
-8.5
false
{"mass": "3", "velocity": "6", "volume": "-4", "inductance": "3", "bfield": "-6"}
5
efield,mass,permittivity,velocity,volume
m·v·V·E_f·ε
em,mechanics
m·v²·V⁻¹·E_f⁻²·ε⁻¹
m = k₀ · v⁻²·V·E_f²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "volume": "-1", "efield": "-2", "permittivity": "-1"}
5
efield,mass,permeability,velocity,volume
m·v·V·E_f·μ₀
em,mechanics
m·v⁴·V⁻¹·E_f⁻²·μ₀
m = k₀ · v⁻⁴·V·E_f²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "volume": "-1", "efield": "-2", "permeability": "1"}
5
conductivity,efield,mass,velocity,volume
m·v·V·E_f·σ
em,mechanics
m³·v⁹·V⁻⁴·E_f⁻⁶·σ⁻³
m = k₀ · v⁻³·V⁴ᐟ³·E_f²·σ
null
0
2
9
25
21.6
-12.1
false
{"mass": "3", "velocity": "9", "volume": "-4", "efield": "-6", "conductivity": "-3"}
5
efield,mass,resistivity,velocity,volume
m·v·V·E_f·ρ_e
em,mechanics
m³·v⁹·V⁻⁴·E_f⁻⁶·ρ_e³
m = k₀ · v⁻³·V⁴ᐟ³·E_f²·ρ_e⁻¹
null
0
2
9
25
21.6
-12.1
false
{"mass": "3", "velocity": "9", "volume": "-4", "efield": "-6", "resistivity": "3"}
5
efield,elem_charge,mass,velocity,volume
m·v·V·E_f·e
constants,em,mechanics
m³·v⁶·V⁻¹·E_f⁻³·e⁻³
V = k₀ · m³·v⁶·E_f⁻³·e⁻³
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "velocity": "6", "volume": "-1", "efield": "-3", "elem_charge": "-3"}
5
bfield,mass,permeability,velocity,volume
m·v·V·B·μ₀
em,mechanics
m·v²·V⁻¹·B⁻²·μ₀
m = k₀ · v⁻²·V·B²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "volume": "-1", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,mass,velocity,volume
m·v·V·B·σ
em,mechanics
m³·v³·V⁻⁴·B⁻⁶·σ⁻³
m = k₀ · v⁻¹·V⁴ᐟ³·B²·σ
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "velocity": "3", "volume": "-4", "bfield": "-6", "conductivity": "-3"}
5
bfield,mass,resistivity,velocity,volume
m·v·V·B·ρ_e
em,mechanics
m³·v³·V⁻⁴·B⁻⁶·ρ_e³
m = k₀ · v⁻¹·V⁴ᐟ³·B²·ρ_e⁻¹
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "velocity": "3", "volume": "-4", "bfield": "-6", "resistivity": "3"}
5
bfield,elem_charge,mass,velocity,volume
m·v·V·B·e
constants,em,mechanics
m³·v³·V⁻¹·B⁻³·e⁻³
V = k₀ · m³·v³·B⁻³·e⁻³
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "velocity": "3", "volume": "-1", "bfield": "-3", "elem_charge": "-3"}
5
mag_flux,mass,permeability,velocity,volume
m·v·V·Φ·μ₀
em,mechanics
m³·v⁶·V·Φ⁻⁶·μ₀³
V = k₀ · m⁻³·v⁻⁶·Φ⁶·μ₀⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "velocity": "6", "volume": "1", "mag_flux": "-6", "permeability": "3"}
5
elem_charge,mag_flux,mass,velocity,volume
m·v·V·Φ·e
constants,em,mechanics
m³·v³·V·Φ⁻³·e⁻³
V = k₀ · m⁻³·v⁻³·Φ³·e³
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "velocity": "3", "volume": "1", "mag_flux": "-3", "elem_charge": "-3"}
5
elem_charge,mass,permittivity,velocity,volume
m·v·V·ε·e
constants,em,mechanics
m³·v⁶·V·ε³·e⁻⁶
V = k₀ · m⁻³·v⁻⁶·ε⁻³·e⁶
null
1
3
6
19
16.5
-7.5
false
{"mass": "3", "velocity": "6", "volume": "1", "permittivity": "3", "elem_charge": "-6"}
5
conductivity,elem_charge,mass,velocity,volume
m·v·V·σ·e
constants,em,mechanics
m³·v³·V²·σ³·e⁻⁶
V = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·σ⁻³ᐟ²·e³
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "velocity": "3", "volume": "2", "conductivity": "3", "elem_charge": "-6"}
5
elem_charge,mass,resistivity,velocity,volume
m·v·V·ρ_e·e
constants,em,mechanics
m³·v³·V²·ρ_e⁻³·e⁻⁶
V = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·ρ_e³ᐟ²·e³
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "velocity": "3", "volume": "2", "resistivity": "-3", "elem_charge": "-6"}
5
cat_activity,mass,molar_mass,velocity,volume
m·v·V·M_m·z
chemistry,mechanics
m³·v³·V⁻¹·M_m⁻³·z⁻³
V = k₀ · m³·v³·M_m⁻³·z⁻³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "velocity": "3", "volume": "-1", "molar_mass": "-3", "cat_activity": "-3"}
5
concentration,mass,molar_energy,velocity,volume
m·v·V·c_n·E_m
chemistry,mechanics
m·v²·V⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻²·V·c_n·E_m
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "volume": "-1", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,mass,molar_energy,velocity,volume
m·v·V·E_m·z
chemistry,mechanics
m³·v⁹·V⁻¹·E_m⁻³·z⁻³
V = k₀ · m³·v⁹·E_m⁻³·z⁻³
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "velocity": "9", "volume": "-1", "molar_energy": "-3", "cat_activity": "-3"}
4
grav_const,mass,velocity,volume
m·v·V·G
constants,mechanics
m³·v⁻⁶·V⁻¹·G³
V = k₀ · m³·v⁻⁶·G³
null
1
2
6
13
11.4
-1.9
false
{"mass": "3", "velocity": "-6", "volume": "-1", "grav_const": "3"}
4
mass,planck,velocity,volume
m·v·V·h
constants,mechanics
m³·v³·V·h⁻³
V = k₀ · m⁻³·v⁻³·h³
null
1
2
3
10
7.8
1.7
false
{"mass": "3", "velocity": "3", "volume": "1", "planck": "-3"}
5
flowrate,mass,temperature,thermal_cond,velocity
m·v·Q·Θ·κ
mechanics,thermo
m·v⁴·Q⁻¹·Θ⁻¹·κ⁻¹
m = k₀ · v⁻⁴·Q·Θ·κ
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "flowrate": "-1", "temperature": "-1", "thermal_cond": "-1"}
6
concentration,flowrate,gas_constant,mass,temperature,velocity
m·v·Q·Θ·c_n·R
chemistry,mechanics,thermo
m²·v⁷·Q⁻³·Θ⁻²·c_n⁻²·R⁻²
m = k₀ · v⁻⁷ᐟ²·Q³ᐟ²·Θ·c_n·R
null
0
3
7
18
16.6
-7.6
false
{"mass": "2", "velocity": "7", "flowrate": "-3", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,flowrate,gas_constant,mass,temperature,velocity
m·v·Q·Θ·R·z
chemistry,mechanics,thermo
m²·v⁷·Q⁻¹·Θ⁻²·R⁻²·z⁻²
Q = k₀ · m²·v⁷·Θ⁻²·R⁻²·z⁻²
null
0
3
7
16
15.2
-6.2
false
{"mass": "2", "velocity": "7", "flowrate": "-1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
flowrate,mass,specific_heat,thermal_cond,velocity
m·v·Q·c·κ
mechanics,thermo
m·v²·Q⁻¹·c·κ⁻¹
m = k₀ · v⁻²·Q·c⁻¹·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "flowrate": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
concentration,flowrate,gas_constant,mass,specific_heat,velocity
m·v·Q·c·c_n·R
chemistry,mechanics,thermo
m²·v³·Q⁻³·c²·c_n⁻²·R⁻²
m = k₀ · v⁻³ᐟ²·Q³ᐟ²·c⁻¹·c_n·R
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "velocity": "3", "flowrate": "-3", "specific_heat": "2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,flowrate,gas_constant,mass,specific_heat,velocity
m·v·Q·c·R·z
chemistry,mechanics,thermo
m²·v³·Q⁻¹·c²·R⁻²·z⁻²
Q = k₀ · m²·v³·c²·R⁻²·z⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "2", "velocity": "3", "flowrate": "-1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
expansion,flowrate,mass,thermal_cond,velocity
m·v·Q·κ·β
mechanics,thermo
m·v⁴·Q⁻¹·κ⁻¹·β
m = k₀ · v⁻⁴·Q·κ·β⁻¹
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "flowrate": "-1", "thermal_cond": "-1", "expansion": "1"}
6
flowrate,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·Q·κ·M_m·R
chemistry,mechanics,thermo
m·v²·Q⁻¹·κ⁻¹·M_m⁻¹·R
m = k₀ · v⁻²·Q·κ·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "flowrate": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
flowrate,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·Q·κ·E_m·R
chemistry,mechanics,thermo
m·v⁴·Q⁻¹·κ⁻¹·E_m⁻¹·R
m = k₀ · v⁻⁴·Q·κ·E_m·R⁻¹
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "velocity": "4", "flowrate": "-1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
concentration,expansion,flowrate,gas_constant,mass,velocity
m·v·Q·β·c_n·R
chemistry,mechanics,thermo
m²·v⁷·Q⁻³·β²·c_n⁻²·R⁻²
m = k₀ · v⁻⁷ᐟ²·Q³ᐟ²·β⁻¹·c_n·R
null
0
3
7
18
16.6
-7.6
false
{"mass": "2", "velocity": "7", "flowrate": "-3", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,expansion,flowrate,gas_constant,mass,velocity
m·v·Q·β·R·z
chemistry,mechanics,thermo
m²·v⁷·Q⁻¹·β²·R⁻²·z⁻²
Q = k₀ · m²·v⁷·β²·R⁻²·z⁻²
null
0
3
7
16
15.2
-6.2
false
{"mass": "2", "velocity": "7", "flowrate": "-1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
charge,flowrate,mass,resistance,velocity
m·v·Q·q·R
em,mechanics
m²·v·Q·q⁻⁴·R⁻²
v = k₀ · m⁻²·Q⁻¹·q⁴·R²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "1", "flowrate": "1", "charge": "-4", "resistance": "-2"}
5
charge,flowrate,inductance,mass,velocity
m·v·Q·q·L_e
em,mechanics
m·v⁻¹·Q·q⁻²·L_e⁻¹
m = k₀ · v·Q⁻¹·q²·L_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "flowrate": "1", "charge": "-2", "inductance": "-1"}
5
charge,efield,flowrate,mass,velocity
m·v·Q·q·E_f
em,mechanics
m²·v⁵·Q⁻¹·q⁻²·E_f⁻²
Q = k₀ · m²·v⁵·q⁻²·E_f⁻²
null
0
2
5
12
10.5
-1
false
{"mass": "2", "velocity": "5", "flowrate": "-1", "charge": "-2", "efield": "-2"}
5
bfield,charge,flowrate,mass,velocity
m·v·Q·q·B
em,mechanics
m²·v³·Q⁻¹·q⁻²·B⁻²
Q = k₀ · m²·v³·q⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "3", "flowrate": "-1", "charge": "-2", "bfield": "-2"}
5
charge,flowrate,mag_flux,mass,velocity
m·v·Q·q·Φ
em,mechanics
m²·v·Q·q⁻²·Φ⁻²
v = k₀ · m⁻²·Q⁻¹·q²·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "1", "flowrate": "1", "charge": "-2", "mag_flux": "-2"}
5
charge,flowrate,mass,permittivity,velocity
m·v·Q·q·ε
em,mechanics
m²·v³·Q·q⁻⁴·ε²
Q = k₀ · m⁻²·v⁻³·q⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "velocity": "3", "flowrate": "1", "charge": "-4", "permittivity": "2"}
5
charge,flowrate,mass,permeability,velocity
m·v·Q·q·μ₀
em,mechanics
m²·v⁻¹·Q·q⁻⁴·μ₀⁻²
v = k₀ · m²·Q·q⁻⁴·μ₀⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "-1", "flowrate": "1", "charge": "-4", "permeability": "-2"}
5
current,flowrate,mass,velocity,voltage
m·v·Q·i·U
em,mechanics
m²·v⁷·Q⁻¹·i⁻²·U⁻²
Q = k₀ · m²·v⁷·i⁻²·U⁻²
null
0
2
7
14
12.9
-3.4
false
{"mass": "2", "velocity": "7", "flowrate": "-1", "current": "-2", "voltage": "-2"}
5
current,flowrate,mass,resistance,velocity
m·v·Q·i·R
em,mechanics
m²·v⁷·Q⁻¹·i⁻⁴·R⁻²
Q = k₀ · m²·v⁷·i⁻⁴·R⁻²
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "velocity": "7", "flowrate": "-1", "current": "-4", "resistance": "-2"}
5
capacitance,current,flowrate,mass,velocity
m·v·Q·i·C_e
em,mechanics
m·v⁵·Q⁻¹·i⁻²·C_e
m = k₀ · v⁻⁵·Q·i²·C_e⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "velocity": "5", "flowrate": "-1", "current": "-2", "capacitance": "1"}
5
current,efield,flowrate,mass,velocity
m·v·Q·i·E_f
em,mechanics
m·v⁴·Q⁻¹·i⁻¹·E_f⁻¹
m = k₀ · v⁻⁴·Q·i·E_f
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "flowrate": "-1", "current": "-1", "efield": "-1"}
5
bfield,current,flowrate,mass,velocity
m·v·Q·i·B
em,mechanics
m·v³·Q⁻¹·i⁻¹·B⁻¹
m = k₀ · v⁻³·Q·i·B
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "flowrate": "-1", "current": "-1", "bfield": "-1"}
5
current,flowrate,mass,permittivity,velocity
m·v·Q·i·ε
em,mechanics
m²·v⁹·Q⁻¹·i⁻⁴·ε²
Q = k₀ · m²·v⁹·i⁻⁴·ε²
null
0
2
9
18
16.7
-7.2
false
{"mass": "2", "velocity": "9", "flowrate": "-1", "current": "-4", "permittivity": "2"}
5
current,flowrate,mass,permeability,velocity
m·v·Q·i·μ₀
em,mechanics
m²·v⁵·Q⁻¹·i⁻⁴·μ₀⁻²
Q = k₀ · m²·v⁵·i⁻⁴·μ₀⁻²
null
0
2
5
14
11.9
-2.4
false
{"mass": "2", "velocity": "5", "flowrate": "-1", "current": "-4", "permeability": "-2"}
5
flowrate,mass,resistance,velocity,voltage
m·v·Q·U·R
em,mechanics
m²·v⁷·Q⁻¹·U⁻⁴·R²
Q = k₀ · m²·v⁷·U⁻⁴·R²
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "velocity": "7", "flowrate": "-1", "voltage": "-4", "resistance": "2"}
5
flowrate,inductance,mass,velocity,voltage
m·v·Q·U·L_e
em,mechanics
m·v⁵·Q⁻¹·U⁻²·L_e
m = k₀ · v⁻⁵·Q·U²·L_e⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "velocity": "5", "flowrate": "-1", "voltage": "-2", "inductance": "1"}
5
flowrate,mass,permittivity,velocity,voltage
m·v·Q·U·ε
em,mechanics
m²·v⁵·Q⁻¹·U⁻⁴·ε⁻²
Q = k₀ · m²·v⁵·U⁻⁴·ε⁻²
null
0
2
5
14
11.9
-2.4
false
{"mass": "2", "velocity": "5", "flowrate": "-1", "voltage": "-4", "permittivity": "-2"}
5
flowrate,mass,permeability,velocity,voltage
m·v·Q·U·μ₀
em,mechanics
m²·v⁹·Q⁻¹·U⁻⁴·μ₀²
Q = k₀ · m²·v⁹·U⁻⁴·μ₀²
null
0
2
9
18
16.7
-7.2
false
{"mass": "2", "velocity": "9", "flowrate": "-1", "voltage": "-4", "permeability": "2"}
5
conductivity,flowrate,mass,velocity,voltage
m·v·Q·U·σ
em,mechanics
m·v⁴·Q⁻¹·U⁻²·σ⁻¹
m = k₀ · v⁻⁴·Q·U²·σ
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "flowrate": "-1", "voltage": "-2", "conductivity": "-1"}
5
flowrate,mass,resistivity,velocity,voltage
m·v·Q·U·ρ_e
em,mechanics
m·v⁴·Q⁻¹·U⁻²·ρ_e
m = k₀ · v⁻⁴·Q·U²·ρ_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "flowrate": "-1", "voltage": "-2", "resistivity": "1"}
5
efield,flowrate,mass,resistance,velocity
m·v·Q·R·E_f
em,mechanics
m²·v⁹·Q⁻³·R²·E_f⁻⁴
m = k₀ · v⁻⁹ᐟ²·Q³ᐟ²·R⁻¹·E_f²
null
0
2
9
20
18.1
-8.6
false
{"mass": "2", "velocity": "9", "flowrate": "-3", "resistance": "2", "efield": "-4"}
5
bfield,flowrate,mass,resistance,velocity
m·v·Q·R·B
em,mechanics
m²·v⁵·Q⁻³·R²·B⁻⁴
m = k₀ · v⁻⁵ᐟ²·Q³ᐟ²·R⁻¹·B²
null
0
2
5
16
13.3
-3.8
false
{"mass": "2", "velocity": "5", "flowrate": "-3", "resistance": "2", "bfield": "-4"}
5
flowrate,mag_flux,mass,resistance,velocity
m·v·Q·R·Φ
em,mechanics
m²·v·Q·R²·Φ⁻⁴
v = k₀ · m⁻²·Q⁻¹·R⁻²·Φ⁴
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "1", "flowrate": "1", "resistance": "2", "mag_flux": "-4"}
5
elem_charge,flowrate,mass,resistance,velocity
m·v·Q·R·e
constants,em,mechanics
m²·v·Q·R⁻²·e⁻⁴
v = k₀ · m⁻²·Q⁻¹·R²·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "1", "flowrate": "1", "resistance": "-2", "elem_charge": "-4"}
5
capacitance,efield,flowrate,mass,velocity
m·v·Q·C_e·E_f
em,mechanics
m·v³·Q⁻¹·C_e⁻¹·E_f⁻²
m = k₀ · v⁻³·Q·C_e·E_f²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "flowrate": "-1", "capacitance": "-1", "efield": "-2"}
5
bfield,capacitance,flowrate,mass,velocity
m·v·Q·C_e·B
em,mechanics
m·v·Q⁻¹·C_e⁻¹·B⁻²
m = k₀ · v⁻¹·Q·C_e·B²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "flowrate": "-1", "capacitance": "-1", "bfield": "-2"}
5
capacitance,flowrate,mag_flux,mass,velocity
m·v·Q·C_e·Φ
em,mechanics
m·v⁻¹·Q·C_e⁻¹·Φ⁻²
m = k₀ · v·Q⁻¹·C_e·Φ²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "flowrate": "1", "capacitance": "-1", "mag_flux": "-2"}
5
efield,flowrate,inductance,mass,velocity
m·v·Q·L_e·E_f
em,mechanics
m·v⁶·Q⁻²·L_e·E_f⁻²
m = k₀ · v⁻⁶·Q²·L_e⁻¹·E_f²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "velocity": "6", "flowrate": "-2", "inductance": "1", "efield": "-2"}
5
bfield,flowrate,inductance,mass,velocity
m·v·Q·L_e·B
em,mechanics
m·v⁴·Q⁻²·L_e·B⁻²
m = k₀ · v⁻⁴·Q²·L_e⁻¹·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "flowrate": "-2", "inductance": "1", "bfield": "-2"}
5
elem_charge,flowrate,inductance,mass,velocity
m·v·Q·L_e·e
constants,em,mechanics
m·v⁻¹·Q·L_e⁻¹·e⁻²
m = k₀ · v·Q⁻¹·L_e·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-1", "flowrate": "1", "inductance": "-1", "elem_charge": "-2"}
5
efield,flowrate,mass,permittivity,velocity
m·v·Q·E_f·ε
em,mechanics
m²·v⁷·Q⁻³·E_f⁻⁴·ε⁻²
m = k₀ · v⁻⁷ᐟ²·Q³ᐟ²·E_f²·ε
null
0
2
7
18
15.7
-6.2
false
{"mass": "2", "velocity": "7", "flowrate": "-3", "efield": "-4", "permittivity": "-2"}
5
efield,flowrate,mass,permeability,velocity
m·v·Q·E_f·μ₀
em,mechanics
m²·v¹¹·Q⁻³·E_f⁻⁴·μ₀²
m = k₀ · v⁻¹¹ᐟ²·Q³ᐟ²·E_f²·μ₀⁻¹
null
0
2
11
22
20.5
-11
false
{"mass": "2", "velocity": "11", "flowrate": "-3", "efield": "-4", "permeability": "2"}
5
conductivity,efield,flowrate,mass,velocity
m·v·Q·E_f·σ
em,mechanics
m·v⁵·Q⁻²·E_f⁻²·σ⁻¹
m = k₀ · v⁻⁵·Q²·E_f²·σ
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "flowrate": "-2", "efield": "-2", "conductivity": "-1"}
5
efield,flowrate,mass,resistivity,velocity
m·v·Q·E_f·ρ_e
em,mechanics
m·v⁵·Q⁻²·E_f⁻²·ρ_e
m = k₀ · v⁻⁵·Q²·E_f²·ρ_e⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "flowrate": "-2", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,flowrate,mass,velocity
m·v·Q·E_f·e
constants,em,mechanics
m²·v⁵·Q⁻¹·E_f⁻²·e⁻²
Q = k₀ · m²·v⁵·E_f⁻²·e⁻²
null
1
3
5
12
11.1
-2.1
false
{"mass": "2", "velocity": "5", "flowrate": "-1", "efield": "-2", "elem_charge": "-2"}
5
bfield,flowrate,mass,permittivity,velocity
m·v·Q·B·ε
em,mechanics
m²·v³·Q⁻³·B⁻⁴·ε⁻²
m = k₀ · v⁻³ᐟ²·Q³ᐟ²·B²·ε
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "velocity": "3", "flowrate": "-3", "bfield": "-4", "permittivity": "-2"}
5
bfield,flowrate,mass,permeability,velocity
m·v·Q·B·μ₀
em,mechanics
m²·v⁷·Q⁻³·B⁻⁴·μ₀²
m = k₀ · v⁻⁷ᐟ²·Q³ᐟ²·B²·μ₀⁻¹
null
0
2
7
18
15.7
-6.2
false
{"mass": "2", "velocity": "7", "flowrate": "-3", "bfield": "-4", "permeability": "2"}
5
bfield,conductivity,flowrate,mass,velocity
m·v·Q·B·σ
em,mechanics
m·v³·Q⁻²·B⁻²·σ⁻¹
m = k₀ · v⁻³·Q²·B²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "flowrate": "-2", "bfield": "-2", "conductivity": "-1"}
5
bfield,flowrate,mass,resistivity,velocity
m·v·Q·B·ρ_e
em,mechanics
m·v³·Q⁻²·B⁻²·ρ_e
m = k₀ · v⁻³·Q²·B²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "flowrate": "-2", "bfield": "-2", "resistivity": "1"}
5
bfield,elem_charge,flowrate,mass,velocity
m·v·Q·B·e
constants,em,mechanics
m²·v³·Q⁻¹·B⁻²·e⁻²
Q = k₀ · m²·v³·B⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "2", "velocity": "3", "flowrate": "-1", "bfield": "-2", "elem_charge": "-2"}
5
flowrate,mag_flux,mass,permittivity,velocity
m·v·Q·Φ·ε
em,mechanics
m²·v⁻¹·Q·Φ⁻⁴·ε⁻²
v = k₀ · m²·Q·Φ⁻⁴·ε⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "-1", "flowrate": "1", "mag_flux": "-4", "permittivity": "-2"}
5
flowrate,mag_flux,mass,permeability,velocity
m·v·Q·Φ·μ₀
em,mechanics
m²·v³·Q·Φ⁻⁴·μ₀²
Q = k₀ · m⁻²·v⁻³·Φ⁴·μ₀⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "velocity": "3", "flowrate": "1", "mag_flux": "-4", "permeability": "2"}
5
elem_charge,flowrate,mag_flux,mass,velocity
m·v·Q·Φ·e
constants,em,mechanics
m²·v·Q·Φ⁻²·e⁻²
v = k₀ · m⁻²·Q⁻¹·Φ²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "velocity": "1", "flowrate": "1", "mag_flux": "-2", "elem_charge": "-2"}
5
elem_charge,flowrate,mass,permittivity,velocity
m·v·Q·ε·e
constants,em,mechanics
m²·v³·Q·ε²·e⁻⁴
Q = k₀ · m⁻²·v⁻³·ε⁻²·e⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "2", "velocity": "3", "flowrate": "1", "permittivity": "2", "elem_charge": "-4"}
5
elem_charge,flowrate,mass,permeability,velocity
m·v·Q·μ₀·e
constants,em,mechanics
m²·v⁻¹·Q·μ₀⁻²·e⁻⁴
v = k₀ · m²·Q·μ₀⁻²·e⁻⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "-1", "flowrate": "1", "permeability": "-2", "elem_charge": "-4"}
5
concentration,flowrate,mass,molar_mass,velocity
m·v·Q·M_m·c_n
chemistry,mechanics
m²·v³·Q⁻³·M_m⁻²·c_n⁻²
m = k₀ · v⁻³ᐟ²·Q³ᐟ²·M_m·c_n
null
0
2
3
12
9.5
0
false
{"mass": "2", "velocity": "3", "flowrate": "-3", "molar_mass": "-2", "concentration": "-2"}
5
cat_activity,flowrate,mass,molar_mass,velocity
m·v·Q·M_m·z
chemistry,mechanics
m²·v³·Q⁻¹·M_m⁻²·z⁻²
Q = k₀ · m²·v³·M_m⁻²·z⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "3", "flowrate": "-1", "molar_mass": "-2", "cat_activity": "-2"}
5
concentration,flowrate,mass,molar_energy,velocity
m·v·Q·c_n·E_m
chemistry,mechanics
m²·v⁷·Q⁻³·c_n⁻²·E_m⁻²
m = k₀ · v⁻⁷ᐟ²·Q³ᐟ²·c_n·E_m
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "velocity": "7", "flowrate": "-3", "concentration": "-2", "molar_energy": "-2"}
5
cat_activity,flowrate,mass,molar_energy,velocity
m·v·Q·E_m·z
chemistry,mechanics
m²·v⁷·Q⁻¹·E_m⁻²·z⁻²
Q = k₀ · m²·v⁷·E_m⁻²·z⁻²
null
0
2
7
14
12.9
-3.4
false
{"mass": "2", "velocity": "7", "flowrate": "-1", "molar_energy": "-2", "cat_activity": "-2"}
4
flowrate,grav_const,mass,velocity
m·v·Q·G
constants,mechanics
m²·v⁻³·Q⁻¹·G²
Q = k₀ · m²·v⁻³·G²
null
1
2
3
8
6.4
3.1
true
{"mass": "2", "velocity": "-3", "flowrate": "-1", "grav_const": "2"}
4
flowrate,mass,planck,velocity
m·v·Q·h
constants,mechanics
m²·v·Q·h⁻²
v = k₀ · m⁻²·Q⁻¹·h²
null
1
2
2
6
4.5
5
true
{"mass": "2", "velocity": "1", "flowrate": "1", "planck": "-2"}
4
entropy,mass,temperature,velocity
m·v·Θ·S_e
mechanics,thermo
m·v²·Θ⁻¹·S_e⁻¹
m = k₀ · v⁻²·Θ·S_e
null
0
2
2
5
3.8
5.7
true
{"mass": "1", "velocity": "2", "temperature": "-1", "entropy": "-1"}
4
heat_capacity,mass,temperature,velocity
m·v·Θ·C
mechanics,thermo
m·v²·Θ⁻¹·C⁻¹
m = k₀ · v⁻²·Θ·C
null
0
2
2
5
3.8
5.7
true
{"mass": "1", "velocity": "2", "temperature": "-1", "heat_capacity": "-1"}
5
mass,temperature,thermal_cond,thermal_diff,velocity
m·v·Θ·κ·α
mechanics,thermo
m·v⁵·Θ⁻¹·κ⁻¹·α⁻²
m = k₀ · v⁻⁵·Θ·κ·α²
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "thermal_diff": "-2"}
6
charge,current,mass,temperature,thermal_cond,velocity
m·v·Θ·κ·q·i
em,mechanics,thermo
m·v·Θ⁻¹·κ⁻¹·q⁻²·i²
m = k₀ · v⁻¹·Θ·κ·q²·i⁻²
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "charge": "-2", "current": "2"}
6
charge,mass,resistance,temperature,thermal_cond,velocity
m·v·Θ·κ·q·R
em,mechanics,thermo
m³·v⁵·Θ⁻¹·κ⁻¹·q⁻⁴·R⁻²
Θ = k₀ · m³·v⁵·κ⁻¹·q⁻⁴·R⁻²
null
0
3
5
16
14.2
-5.2
false
{"mass": "3", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "charge": "-4", "resistance": "-2"}
6
charge,inductance,mass,temperature,thermal_cond,velocity
m·v·Θ·κ·q·L_e
em,mechanics,thermo
m²·v³·Θ⁻¹·κ⁻¹·q⁻²·L_e⁻¹
Θ = k₀ · m²·v³·κ⁻¹·q⁻²·L_e⁻¹
null
0
3
3
10
9
0
false
{"mass": "2", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "charge": "-2", "inductance": "-1"}
6
charge,efield,mass,temperature,thermal_cond,velocity
m·v·Θ·κ·q·E_f
em,mechanics,thermo
m·v·Θ·κ·q⁻²·E_f⁻²
m = k₀ · v⁻¹·Θ⁻¹·κ⁻¹·q²·E_f²
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "1", "temperature": "1", "thermal_cond": "1", "charge": "-2", "efield": "-2"}
6
bfield,charge,mass,temperature,thermal_cond,velocity
m·v·Θ·κ·q·B
em,mechanics,thermo
m·v⁻¹·Θ·κ·q⁻²·B⁻²
m = k₀ · v·Θ⁻¹·κ⁻¹·q²·B²
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "-1", "temperature": "1", "thermal_cond": "1", "charge": "-2", "bfield": "-2"}
6
charge,mag_flux,mass,temperature,thermal_cond,velocity
m·v·Θ·κ·q·Φ
em,mechanics,thermo
m³·v⁵·Θ⁻¹·κ⁻¹·q⁻²·Φ⁻²
Θ = k₀ · m³·v⁵·κ⁻¹·q⁻²·Φ⁻²
null
0
3
5
14
12.8
-3.8
false
{"mass": "3", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "charge": "-2", "mag_flux": "-2"}
6
charge,mass,permittivity,temperature,thermal_cond,velocity
m·v·Θ·κ·q·ε
em,mechanics,thermo
m³·v⁷·Θ⁻¹·κ⁻¹·q⁻⁴·ε²
Θ = k₀ · m³·v⁷·κ⁻¹·q⁻⁴·ε²
null
0
3
7
18
16.6
-7.6
false
{"mass": "3", "velocity": "7", "temperature": "-1", "thermal_cond": "-1", "charge": "-4", "permittivity": "2"}
6
charge,mass,permeability,temperature,thermal_cond,velocity
m·v·Θ·κ·q·μ₀
em,mechanics,thermo
m³·v³·Θ⁻¹·κ⁻¹·q⁻⁴·μ₀⁻²
Θ = k₀ · m³·v³·κ⁻¹·q⁻⁴·μ₀⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "charge": "-4", "permeability": "-2"}
6
charge,conductivity,mass,temperature,thermal_cond,velocity
m·v·Θ·κ·q·σ
em,mechanics,thermo
m²·v⁴·Θ⁻¹·κ⁻¹·q⁻²·σ
Θ = k₀ · m²·v⁴·κ⁻¹·q⁻²·σ
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "4", "temperature": "-1", "thermal_cond": "-1", "charge": "-2", "conductivity": "1"}
6
charge,mass,resistivity,temperature,thermal_cond,velocity
m·v·Θ·κ·q·ρ_e
em,mechanics,thermo
m²·v⁴·Θ⁻¹·κ⁻¹·q⁻²·ρ_e⁻¹
Θ = k₀ · m²·v⁴·κ⁻¹·q⁻²·ρ_e⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "4", "temperature": "-1", "thermal_cond": "-1", "charge": "-2", "resistivity": "-1"}