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
4
density,mass,omega,velocity
m·v·ρ·ω
mechanics
m·v⁻³·ρ⁻¹·ω³
m = k₀ · v³·ρ·ω⁻³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "velocity": "-3", "density": "-1", "omega": "3"}
4
density,frequency,mass,velocity
m·v·ρ·f
mechanics
m·v⁻³·ρ⁻¹·f³
m = k₀ · v³·ρ·f⁻³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "velocity": "-3", "density": "-1", "frequency": "3"}
4
density,mass,stiffness,velocity
m·v·ρ·k
mechanics
m·v⁶·ρ²·k⁻³
m = k₀ · v⁻⁶·ρ⁻²·k³
null
0
1
6
12
10.1
-0.1
false
{"mass": "1", "velocity": "6", "density": "2", "stiffness": "-3"}
4
density,mass,surf_tension,velocity
m·v·ρ·γ
mechanics
m·v⁶·ρ²·γ⁻³
m = k₀ · v⁻⁶·ρ⁻²·γ³
null
0
1
6
12
10.1
-0.1
false
{"mass": "1", "velocity": "6", "density": "2", "surf_tension": "-3"}
4
density,flowrate,mass,velocity
m·v·ρ·Q
mechanics
m²·v³·ρ⁻²·Q⁻³
m = k₀ · v⁻³ᐟ²·ρ·Q³ᐟ²
null
0
1
3
10
7.2
2.8
false
{"mass": "2", "velocity": "3", "density": "-2", "flowrate": "-3"}
5
density,mass,temperature,thermal_cond,velocity
m·v·ρ·Θ·κ
mechanics,thermo
m·v⁹·ρ²·Θ⁻³·κ⁻³
m = k₀ · v⁻⁹·ρ⁻²·Θ³·κ³
null
0
2
9
18
16.7
-7.2
false
{"mass": "1", "velocity": "9", "density": "2", "temperature": "-3", "thermal_cond": "-3"}
6
cat_activity,density,gas_constant,mass,temperature,velocity
m·v·ρ·Θ·R·z
chemistry,mechanics,thermo
m²·v⁹·ρ·Θ⁻³·R⁻³·z⁻³
ρ = k₀ · m⁻²·v⁻⁹·Θ³·R³·z³
null
0
3
9
21
19.7
-10.7
false
{"mass": "2", "velocity": "9", "density": "1", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
5
density,entropy,mass,thermal_cond,velocity
m·v·ρ·S_e·κ
mechanics,thermo
m²·v⁻³·ρ⁻²·S_e⁻³·κ³
m = k₀ · v³ᐟ²·ρ·S_e³ᐟ²·κ⁻³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "velocity": "-3", "density": "-2", "entropy": "-3", "thermal_cond": "3"}
6
cat_activity,density,entropy,gas_constant,mass,velocity
m·v·ρ·S_e·R·z
chemistry,mechanics,thermo
m·v⁻³·ρ⁻¹·S_e⁻³·R³·z³
m = k₀ · v³·ρ·S_e³·R⁻³·z⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "velocity": "-3", "density": "-1", "entropy": "-3", "gas_constant": "3", "cat_activity": "3"}
5
density,heat_capacity,mass,thermal_cond,velocity
m·v·ρ·C·κ
mechanics,thermo
m²·v⁻³·ρ⁻²·C⁻³·κ³
m = k₀ · v³ᐟ²·ρ·C³ᐟ²·κ⁻³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "velocity": "-3", "density": "-2", "heat_capacity": "-3", "thermal_cond": "3"}
6
cat_activity,density,gas_constant,heat_capacity,mass,velocity
m·v·ρ·C·R·z
chemistry,mechanics,thermo
m·v⁻³·ρ⁻¹·C⁻³·R³·z³
m = k₀ · v³·ρ·C³·R⁻³·z⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "velocity": "-3", "density": "-1", "heat_capacity": "-3", "gas_constant": "3", "cat_activity": "3"}
5
density,mass,specific_heat,thermal_cond,velocity
m·v·ρ·c·κ
mechanics,thermo
m·v³·ρ²·c³·κ⁻³
m = k₀ · v⁻³·ρ⁻²·c⁻³·κ³
null
0
2
3
12
9.5
0
false
{"mass": "1", "velocity": "3", "density": "2", "specific_heat": "3", "thermal_cond": "-3"}
6
cat_activity,density,gas_constant,mass,specific_heat,velocity
m·v·ρ·c·R·z
chemistry,mechanics,thermo
m²·v³·ρ·c³·R⁻³·z⁻³
ρ = k₀ · m⁻²·v⁻³·c⁻³·R³·z³
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "velocity": "3", "density": "1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
density,expansion,mass,thermal_cond,velocity
m·v·ρ·κ·β
mechanics,thermo
m·v⁹·ρ²·κ⁻³·β³
m = k₀ · v⁻⁹·ρ⁻²·κ³·β⁻³
null
0
2
9
18
16.7
-7.2
false
{"mass": "1", "velocity": "9", "density": "2", "thermal_cond": "-3", "expansion": "3"}
6
amount,density,gas_constant,mass,thermal_cond,velocity
m·v·ρ·κ·n·R
chemistry,mechanics,thermo
m²·v⁻³·ρ⁻²·κ³·n⁻³·R⁻³
m = k₀ · v³ᐟ²·ρ·κ⁻³ᐟ²·n³ᐟ²·R³ᐟ²
null
0
3
3
16
13.2
-4.2
false
{"mass": "2", "velocity": "-3", "density": "-2", "thermal_cond": "3", "amount": "-3", "gas_constant": "-3"}
6
density,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·ρ·κ·M_m·R
chemistry,mechanics,thermo
m·v³·ρ²·κ⁻³·M_m⁻³·R³
m = k₀ · v⁻³·ρ⁻²·κ³·M_m³·R⁻³
null
0
3
3
15
12.5
-3.5
false
{"mass": "1", "velocity": "3", "density": "2", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
concentration,density,gas_constant,mass,thermal_cond,velocity
m·v·ρ·κ·c_n·R
chemistry,mechanics,thermo
m·v³·ρ⁻¹·κ⁻³·c_n³·R³
m = k₀ · v⁻³·ρ·κ³·c_n⁻³·R⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "velocity": "3", "density": "-1", "thermal_cond": "-3", "concentration": "3", "gas_constant": "3"}
6
density,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·ρ·κ·E_m·R
chemistry,mechanics,thermo
m·v⁹·ρ²·κ⁻³·E_m⁻³·R³
m = k₀ · v⁻⁹·ρ⁻²·κ³·E_m³·R⁻³
null
0
3
9
21
19.7
-10.7
false
{"mass": "1", "velocity": "9", "density": "2", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
avogadro,density,gas_constant,mass,thermal_cond,velocity
m·v·ρ·κ·R·N_A
chemistry,constants,mechanics,thermo
m²·v⁻³·ρ⁻²·κ³·R⁻³·N_A³
m = k₀ · v³ᐟ²·ρ·κ⁻³ᐟ²·R³ᐟ²·N_A⁻³ᐟ²
null
1
4
3
16
13.8
-5.3
false
{"mass": "2", "velocity": "-3", "density": "-2", "thermal_cond": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,density,mass,thermal_cond,velocity
m·v·ρ·κ·k_B
constants,mechanics,thermo
m²·v⁻³·ρ⁻²·κ³·k_B⁻³
m = k₀ · v³ᐟ²·ρ·κ⁻³ᐟ²·k_B³ᐟ²
null
1
3
3
13
10.8
-1.8
false
{"mass": "2", "velocity": "-3", "density": "-2", "thermal_cond": "3", "boltzmann": "-3"}
4
density,mass,thermal_diff,velocity
m·v·ρ·α
mechanics,thermo
m·v³·ρ⁻¹·α⁻³
m = k₀ · v⁻³·ρ·α³
null
0
2
3
8
6.4
3.1
true
{"mass": "1", "velocity": "3", "density": "-1", "thermal_diff": "-3"}
6
cat_activity,density,expansion,gas_constant,mass,velocity
m·v·ρ·β·R·z
chemistry,mechanics,thermo
m²·v⁹·ρ·β³·R⁻³·z⁻³
ρ = k₀ · m⁻²·v⁻⁹·β⁻³·R³·z³
null
0
3
9
21
19.7
-10.7
false
{"mass": "2", "velocity": "9", "density": "1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
charge,current,density,mass,velocity
m·v·ρ·q·i
em,mechanics
m·v⁻³·ρ⁻¹·q⁻³·i³
m = k₀ · v³·ρ·q³·i⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "charge": "-3", "current": "3"}
5
charge,density,mass,resistance,velocity
m·v·ρ·q·R
em,mechanics
m⁴·v³·ρ⁻¹·q⁻⁶·R⁻³
ρ = k₀ · m⁴·v³·q⁻⁶·R⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "4", "velocity": "3", "density": "-1", "charge": "-6", "resistance": "-3"}
5
charge,density,efield,mass,velocity
m·v·ρ·q·E_f
em,mechanics
m²·v⁶·ρ·q⁻³·E_f⁻³
ρ = k₀ · m⁻²·v⁻⁶·q³·E_f³
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "velocity": "6", "density": "1", "charge": "-3", "efield": "-3"}
5
bfield,charge,density,mass,velocity
m·v·ρ·q·B
em,mechanics
m²·v³·ρ·q⁻³·B⁻³
ρ = k₀ · m⁻²·v⁻³·q³·B³
null
0
2
3
12
9.5
0
false
{"mass": "2", "velocity": "3", "density": "1", "charge": "-3", "bfield": "-3"}
5
charge,density,mag_flux,mass,velocity
m·v·ρ·q·Φ
em,mechanics
m⁴·v³·ρ⁻¹·q⁻³·Φ⁻³
ρ = k₀ · m⁴·v³·q⁻³·Φ⁻³
null
0
2
4
14
11.4
-1.9
false
{"mass": "4", "velocity": "3", "density": "-1", "charge": "-3", "mag_flux": "-3"}
5
charge,density,mass,permittivity,velocity
m·v·ρ·q·ε
em,mechanics
m⁴·v⁶·ρ⁻¹·q⁻⁶·ε³
ρ = k₀ · m⁴·v⁶·q⁻⁶·ε³
null
0
2
6
20
16.6
-7.1
false
{"mass": "4", "velocity": "6", "density": "-1", "charge": "-6", "permittivity": "3"}
5
charge,conductivity,density,mass,velocity
m·v·ρ·q·σ
em,mechanics
m⁵·v³·ρ⁻²·q⁻⁶·σ³
ρ = k₀ · m⁵ᐟ²·v³ᐟ²·q⁻³·σ³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "velocity": "3", "density": "-2", "charge": "-6", "conductivity": "3"}
5
charge,density,mass,resistivity,velocity
m·v·ρ·q·ρ_e
em,mechanics
m⁵·v³·ρ⁻²·q⁻⁶·ρ_e⁻³
ρ = k₀ · m⁵ᐟ²·v³ᐟ²·q⁻³·ρ_e⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "5", "velocity": "3", "density": "-2", "charge": "-6", "resistivity": "-3"}
5
current,density,mass,velocity,voltage
m·v·ρ·i·U
em,mechanics
m²·v⁹·ρ·i⁻³·U⁻³
ρ = k₀ · m⁻²·v⁻⁹·i³·U³
null
0
2
9
18
16.7
-7.2
false
{"mass": "2", "velocity": "9", "density": "1", "current": "-3", "voltage": "-3"}
5
current,density,mass,resistance,velocity
m·v·ρ·i·R
em,mechanics
m²·v⁹·ρ·i⁻⁶·R⁻³
ρ = k₀ · m⁻²·v⁻⁹·i⁶·R³
null
0
2
9
21
18.8
-9.3
false
{"mass": "2", "velocity": "9", "density": "1", "current": "-6", "resistance": "-3"}
5
capacitance,current,density,mass,velocity
m·v·ρ·i·C_e
em,mechanics
m·v¹²·ρ²·i⁻⁶·C_e³
m = k₀ · v⁻¹²·ρ⁻²·i⁶·C_e⁻³
null
0
2
12
24
22.4
-12.9
false
{"mass": "1", "velocity": "12", "density": "2", "current": "-6", "capacitance": "3"}
5
current,density,efield,mass,velocity
m·v·ρ·i·E_f
em,mechanics
m·v⁹·ρ²·i⁻³·E_f⁻³
m = k₀ · v⁻⁹·ρ⁻²·i³·E_f³
null
0
2
9
18
16.7
-7.2
false
{"mass": "1", "velocity": "9", "density": "2", "current": "-3", "efield": "-3"}
5
bfield,current,density,mass,velocity
m·v·ρ·i·B
em,mechanics
m·v⁶·ρ²·i⁻³·B⁻³
m = k₀ · v⁻⁶·ρ⁻²·i³·B³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "velocity": "6", "density": "2", "current": "-3", "bfield": "-3"}
5
current,density,mass,permittivity,velocity
m·v·ρ·i·ε
em,mechanics
m²·v¹²·ρ·i⁻⁶·ε³
ρ = k₀ · m⁻²·v⁻¹²·i⁶·ε⁻³
null
0
2
12
24
22.4
-12.9
false
{"mass": "2", "velocity": "12", "density": "1", "current": "-6", "permittivity": "3"}
5
current,density,mass,permeability,velocity
m·v·ρ·i·μ₀
em,mechanics
m²·v⁶·ρ·i⁻⁶·μ₀⁻³
ρ = k₀ · m⁻²·v⁻⁶·i⁶·μ₀³
null
0
2
6
18
15.2
-5.7
false
{"mass": "2", "velocity": "6", "density": "1", "current": "-6", "permeability": "-3"}
5
current,density,elem_charge,mass,velocity
m·v·ρ·i·e
constants,em,mechanics
m·v⁻³·ρ⁻¹·i³·e⁻³
m = k₀ · v³·ρ·i⁻³·e³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "velocity": "-3", "density": "-1", "current": "3", "elem_charge": "-3"}
5
density,mass,resistance,velocity,voltage
m·v·ρ·U·R
em,mechanics
m²·v⁹·ρ·U⁻⁶·R³
ρ = k₀ · m⁻²·v⁻⁹·U⁶·R⁻³
null
0
2
9
21
18.8
-9.3
false
{"mass": "2", "velocity": "9", "density": "1", "voltage": "-6", "resistance": "3"}
5
density,inductance,mass,velocity,voltage
m·v·ρ·U·L_e
em,mechanics
m·v¹²·ρ²·U⁻⁶·L_e³
m = k₀ · v⁻¹²·ρ⁻²·U⁶·L_e⁻³
null
0
2
12
24
22.4
-12.9
false
{"mass": "1", "velocity": "12", "density": "2", "voltage": "-6", "inductance": "3"}
5
bfield,density,mass,velocity,voltage
m·v·ρ·U·B
em,mechanics
m·v³·ρ⁻¹·U⁻³·B³
m = k₀ · v⁻³·ρ·U³·B⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "3", "density": "-1", "voltage": "-3", "bfield": "3"}
5
density,mag_flux,mass,velocity,voltage
m·v·ρ·U·Φ
em,mechanics
m·v⁻³·ρ⁻¹·U³·Φ⁻³
m = k₀ · v³·ρ·U⁻³·Φ³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "voltage": "3", "mag_flux": "-3"}
5
density,mass,permittivity,velocity,voltage
m·v·ρ·U·ε
em,mechanics
m²·v⁶·ρ·U⁻⁶·ε⁻³
ρ = k₀ · m⁻²·v⁻⁶·U⁶·ε³
null
0
2
6
18
15.2
-5.7
false
{"mass": "2", "velocity": "6", "density": "1", "voltage": "-6", "permittivity": "-3"}
5
density,mass,permeability,velocity,voltage
m·v·ρ·U·μ₀
em,mechanics
m²·v¹²·ρ·U⁻⁶·μ₀³
ρ = k₀ · m⁻²·v⁻¹²·U⁶·μ₀⁻³
null
0
2
12
24
22.4
-12.9
false
{"mass": "2", "velocity": "12", "density": "1", "voltage": "-6", "permeability": "3"}
5
conductivity,density,mass,velocity,voltage
m·v·ρ·U·σ
em,mechanics
m·v⁹·ρ²·U⁻⁶·σ⁻³
m = k₀ · v⁻⁹·ρ⁻²·U⁶·σ³
null
0
2
9
21
18.8
-9.3
false
{"mass": "1", "velocity": "9", "density": "2", "voltage": "-6", "conductivity": "-3"}
5
density,mass,resistivity,velocity,voltage
m·v·ρ·U·ρ_e
em,mechanics
m·v⁹·ρ²·U⁻⁶·ρ_e³
m = k₀ · v⁻⁹·ρ⁻²·U⁶·ρ_e⁻³
null
0
2
9
21
18.8
-9.3
false
{"mass": "1", "velocity": "9", "density": "2", "voltage": "-6", "resistivity": "3"}
5
capacitance,density,mass,resistance,velocity
m·v·ρ·R·C_e
em,mechanics
m·v⁻³·ρ⁻¹·R⁻³·C_e⁻³
m = k₀ · v³·ρ·R³·C_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "resistance": "-3", "capacitance": "-3"}
5
density,inductance,mass,resistance,velocity
m·v·ρ·R·L_e
em,mechanics
m·v⁻³·ρ⁻¹·R³·L_e⁻³
m = k₀ · v³·ρ·R⁻³·L_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "resistance": "3", "inductance": "-3"}
5
density,mag_flux,mass,resistance,velocity
m·v·ρ·R·Φ
em,mechanics
m⁴·v³·ρ⁻¹·R³·Φ⁻⁶
ρ = k₀ · m⁴·v³·R³·Φ⁻⁶
null
0
2
6
17
14.5
-5
false
{"mass": "4", "velocity": "3", "density": "-1", "resistance": "3", "mag_flux": "-6"}
5
density,elem_charge,mass,resistance,velocity
m·v·ρ·R·e
constants,em,mechanics
m⁴·v³·ρ⁻¹·R⁻³·e⁻⁶
ρ = k₀ · m⁴·v³·R⁻³·e⁻⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "4", "velocity": "3", "density": "-1", "resistance": "-3", "elem_charge": "-6"}
5
capacitance,density,inductance,mass,velocity
m·v·ρ·C_e·L_e
em,mechanics
m²·v⁻⁶·ρ⁻²·C_e⁻³·L_e⁻³
m = k₀ · v³·ρ·C_e³ᐟ²·L_e³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "velocity": "-6", "density": "-2", "capacitance": "-3", "inductance": "-3"}
5
capacitance,density,efield,mass,velocity
m·v·ρ·C_e·E_f
em,mechanics
m·v⁶·ρ²·C_e⁻³·E_f⁻⁶
m = k₀ · v⁻⁶·ρ⁻²·C_e³·E_f⁶
null
0
2
6
18
15.2
-5.7
false
{"mass": "1", "velocity": "6", "density": "2", "capacitance": "-3", "efield": "-6"}
5
capacitance,density,mass,permeability,velocity
m·v·ρ·C_e·μ₀
em,mechanics
m·v⁻⁶·ρ⁻¹·C_e⁻³·μ₀⁻³
m = k₀ · v⁶·ρ·C_e³·μ₀³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "-6", "density": "-1", "capacitance": "-3", "permeability": "-3"}
5
capacitance,conductivity,density,mass,velocity
m·v·ρ·C_e·σ
em,mechanics
m²·v⁻³·ρ⁻²·C_e⁻³·σ³
m = k₀ · v³ᐟ²·ρ·C_e³ᐟ²·σ⁻³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "velocity": "-3", "density": "-2", "capacitance": "-3", "conductivity": "3"}
5
capacitance,density,mass,resistivity,velocity
m·v·ρ·C_e·ρ_e
em,mechanics
m²·v⁻³·ρ⁻²·C_e⁻³·ρ_e⁻³
m = k₀ · v³ᐟ²·ρ·C_e³ᐟ²·ρ_e³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "velocity": "-3", "density": "-2", "capacitance": "-3", "resistivity": "-3"}
5
density,efield,inductance,mass,velocity
m·v·ρ·L_e·E_f
em,mechanics
m·v⁻¹²·ρ⁻⁴·L_e⁻³·E_f⁶
m = k₀ · v¹²·ρ⁴·L_e³·E_f⁻⁶
null
0
2
12
26
23.8
-14.3
false
{"mass": "1", "velocity": "-12", "density": "-4", "inductance": "-3", "efield": "6"}
5
bfield,density,inductance,mass,velocity
m·v·ρ·L_e·B
em,mechanics
m·v⁻⁶·ρ⁻⁴·L_e⁻³·B⁶
m = k₀ · v⁶·ρ⁴·L_e³·B⁻⁶
null
0
2
6
20
16.6
-7.1
false
{"mass": "1", "velocity": "-6", "density": "-4", "inductance": "-3", "bfield": "6"}
5
density,inductance,mass,permittivity,velocity
m·v·ρ·L_e·ε
em,mechanics
m·v⁻⁶·ρ⁻¹·L_e⁻³·ε⁻³
m = k₀ · v⁶·ρ·L_e³·ε³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "-6", "density": "-1", "inductance": "-3", "permittivity": "-3"}
5
density,efield,mag_flux,mass,velocity
m·v·ρ·E_f·Φ
em,mechanics
m²·v⁻³·ρ⁻²·E_f³·Φ⁻³
m = k₀ · v³ᐟ²·ρ·E_f⁻³ᐟ²·Φ³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "velocity": "-3", "density": "-2", "efield": "3", "mag_flux": "-3"}
5
conductivity,density,efield,mass,velocity
m·v·ρ·E_f·σ
em,mechanics
m·v⁻⁹·ρ⁻⁴·E_f⁶·σ³
m = k₀ · v⁹·ρ⁴·E_f⁻⁶·σ⁻³
null
0
2
9
23
20.2
-10.7
false
{"mass": "1", "velocity": "-9", "density": "-4", "efield": "6", "conductivity": "3"}
5
density,efield,mass,resistivity,velocity
m·v·ρ·E_f·ρ_e
em,mechanics
m·v⁻⁹·ρ⁻⁴·E_f⁶·ρ_e⁻³
m = k₀ · v⁹·ρ⁴·E_f⁻⁶·ρ_e³
null
0
2
9
23
20.2
-10.7
false
{"mass": "1", "velocity": "-9", "density": "-4", "efield": "6", "resistivity": "-3"}
5
density,efield,elem_charge,mass,velocity
m·v·ρ·E_f·e
constants,em,mechanics
m²·v⁶·ρ·E_f⁻³·e⁻³
ρ = k₀ · m⁻²·v⁻⁶·E_f³·e³
null
1
3
6
15
13.7
-4.7
false
{"mass": "2", "velocity": "6", "density": "1", "efield": "-3", "elem_charge": "-3"}
5
bfield,conductivity,density,mass,velocity
m·v·ρ·B·σ
em,mechanics
m·v⁻³·ρ⁻⁴·B⁶·σ³
m = k₀ · v³·ρ⁴·B⁻⁶·σ⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "velocity": "-3", "density": "-4", "bfield": "6", "conductivity": "3"}
5
bfield,density,mass,resistivity,velocity
m·v·ρ·B·ρ_e
em,mechanics
m·v⁻³·ρ⁻⁴·B⁶·ρ_e⁻³
m = k₀ · v³·ρ⁴·B⁻⁶·ρ_e³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "velocity": "-3", "density": "-4", "bfield": "6", "resistivity": "-3"}
5
bfield,density,elem_charge,mass,velocity
m·v·ρ·B·e
constants,em,mechanics
m²·v³·ρ·B⁻³·e⁻³
ρ = k₀ · m⁻²·v⁻³·B³·e³
null
1
3
3
12
10.1
-1.1
false
{"mass": "2", "velocity": "3", "density": "1", "bfield": "-3", "elem_charge": "-3"}
5
density,mag_flux,mass,permeability,velocity
m·v·ρ·Φ·μ₀
em,mechanics
m⁴·v⁶·ρ⁻¹·Φ⁻⁶·μ₀³
ρ = k₀ · m⁴·v⁶·Φ⁻⁶·μ₀³
null
0
2
6
20
16.6
-7.1
false
{"mass": "4", "velocity": "6", "density": "-1", "mag_flux": "-6", "permeability": "3"}
5
density,elem_charge,mag_flux,mass,velocity
m·v·ρ·Φ·e
constants,em,mechanics
m⁴·v³·ρ⁻¹·Φ⁻³·e⁻³
ρ = k₀ · m⁴·v³·Φ⁻³·e⁻³
null
1
3
4
14
12
-3
false
{"mass": "4", "velocity": "3", "density": "-1", "mag_flux": "-3", "elem_charge": "-3"}
5
conductivity,density,mass,permittivity,velocity
m·v·ρ·ε·σ
em,mechanics
m·v⁻³·ρ⁻¹·ε⁻³·σ³
m = k₀ · v³·ρ·ε³·σ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "permittivity": "-3", "conductivity": "3"}
5
density,mass,permittivity,resistivity,velocity
m·v·ρ·ε·ρ_e
em,mechanics
m·v⁻³·ρ⁻¹·ε⁻³·ρ_e⁻³
m = k₀ · v³·ρ·ε³·ρ_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "permittivity": "-3", "resistivity": "-3"}
5
density,elem_charge,mass,permittivity,velocity
m·v·ρ·ε·e
constants,em,mechanics
m⁴·v⁶·ρ⁻¹·ε³·e⁻⁶
ρ = k₀ · m⁴·v⁶·ε³·e⁻⁶
null
1
3
6
20
17.2
-8.2
false
{"mass": "4", "velocity": "6", "density": "-1", "permittivity": "3", "elem_charge": "-6"}
5
conductivity,density,mass,permeability,velocity
m·v·ρ·μ₀·σ
em,mechanics
m·v³·ρ⁻¹·μ₀³·σ³
m = k₀ · v⁻³·ρ·μ₀⁻³·σ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "3", "density": "-1", "permeability": "3", "conductivity": "3"}
5
density,mass,permeability,resistivity,velocity
m·v·ρ·μ₀·ρ_e
em,mechanics
m·v³·ρ⁻¹·μ₀³·ρ_e⁻³
m = k₀ · v⁻³·ρ·μ₀⁻³·ρ_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "3", "density": "-1", "permeability": "3", "resistivity": "-3"}
5
conductivity,density,elem_charge,mass,velocity
m·v·ρ·σ·e
constants,em,mechanics
m⁵·v³·ρ⁻²·σ³·e⁻⁶
ρ = k₀ · m⁵ᐟ²·v³ᐟ²·σ³ᐟ²·e⁻³
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "velocity": "3", "density": "-2", "conductivity": "3", "elem_charge": "-6"}
5
density,elem_charge,mass,resistivity,velocity
m·v·ρ·ρ_e·e
constants,em,mechanics
m⁵·v³·ρ⁻²·ρ_e⁻³·e⁻⁶
ρ = k₀ · m⁵ᐟ²·v³ᐟ²·ρ_e⁻³ᐟ²·e⁻³
null
1
3
6
19
16.5
-7.5
false
{"mass": "5", "velocity": "3", "density": "-2", "resistivity": "-3", "elem_charge": "-6"}
5
amount,cat_activity,density,mass,velocity
m·v·ρ·n·z
chemistry,mechanics
m·v⁻³·ρ⁻¹·n⁻³·z³
m = k₀ · v³·ρ·n³·z⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "-3", "density": "-1", "amount": "-3", "cat_activity": "3"}
5
cat_activity,density,mass,molar_mass,velocity
m·v·ρ·M_m·z
chemistry,mechanics
m²·v³·ρ·M_m⁻³·z⁻³
ρ = k₀ · m⁻²·v⁻³·M_m³·z³
null
0
2
3
12
9.5
0
false
{"mass": "2", "velocity": "3", "density": "1", "molar_mass": "-3", "cat_activity": "-3"}
5
cat_activity,concentration,density,mass,velocity
m·v·ρ·c_n·z
chemistry,mechanics
m²·v³·ρ⁻²·c_n³·z⁻³
m = k₀ · v⁻³ᐟ²·ρ·c_n⁻³ᐟ²·z³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "2", "velocity": "3", "density": "-2", "concentration": "3", "cat_activity": "-3"}
5
cat_activity,density,mass,molar_energy,velocity
m·v·ρ·E_m·z
chemistry,mechanics
m²·v⁹·ρ·E_m⁻³·z⁻³
ρ = k₀ · m⁻²·v⁻⁹·E_m³·z³
null
0
2
9
18
16.7
-7.2
false
{"mass": "2", "velocity": "9", "density": "1", "molar_energy": "-3", "cat_activity": "-3"}
6
boltzmann,cat_activity,density,gas_constant,mass,velocity
m·v·ρ·R·z·k_B
chemistry,constants,mechanics
m·v⁻³·ρ⁻¹·R³·z³·k_B⁻³
m = k₀ · v³·ρ·R⁻³·z⁻³·k_B³
null
1
3
3
14
11.8
-2.8
false
{"mass": "1", "velocity": "-3", "density": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
5
avogadro,cat_activity,density,mass,velocity
m·v·ρ·z·N_A
chemistry,constants,mechanics
m·v⁻³·ρ⁻¹·z³·N_A³
m = k₀ · v³·ρ·z⁻³·N_A⁻³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "velocity": "-3", "density": "-1", "cat_activity": "3", "avogadro": "3"}
4
density,grav_const,mass,velocity
m·v·ρ·G
constants,mechanics
m²·v⁻⁶·ρ·G³
ρ = k₀ · m⁻²·v⁶·G⁻³
null
1
2
6
12
10.7
-1.2
false
{"mass": "2", "velocity": "-6", "density": "1", "grav_const": "3"}
4
density,mass,planck,velocity
m·v·ρ·h
constants,mechanics
m⁴·v³·ρ⁻¹·h⁻³
ρ = k₀ · m⁴·v³·h⁻³
null
1
2
4
11
9
0.5
false
{"mass": "4", "velocity": "3", "density": "-1", "planck": "-3"}
4
kin_viscosity,mass,velocity,viscosity
m·v·μ·ν
mechanics
m·v³·μ⁻¹·ν⁻²
m = k₀ · v⁻³·μ·ν²
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "velocity": "3", "viscosity": "-1", "kin_viscosity": "-2"}
4
mass,omega,velocity,viscosity
m·v·μ·ω
mechanics
m·v⁻¹·μ⁻¹·ω²
m = k₀ · v·μ·ω⁻²
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "-1", "viscosity": "-1", "omega": "2"}
4
frequency,mass,velocity,viscosity
m·v·μ·f
mechanics
m·v⁻¹·μ⁻¹·f²
m = k₀ · v·μ·f⁻²
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "-1", "viscosity": "-1", "frequency": "2"}
4
area,mass,velocity,viscosity
m·v·μ·A
mechanics
m·v·μ⁻¹·A⁻¹
m = k₀ · v⁻¹·μ·A
null
0
1
1
4
2
8
true
{"mass": "1", "velocity": "1", "viscosity": "-1", "area": "-1"}
4
mass,velocity,viscosity,volume
m·v·μ·V
mechanics
m³·v³·μ⁻³·V⁻²
V = k₀ · m³ᐟ²·v³ᐟ²·μ⁻³ᐟ²
null
0
1
3
11
7.9
2.1
false
{"mass": "3", "velocity": "3", "viscosity": "-3", "volume": "-2"}
4
flowrate,mass,velocity,viscosity
m·v·μ·Q
mechanics
m·v²·μ⁻¹·Q⁻¹
m = k₀ · v⁻²·μ·Q
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "2", "viscosity": "-1", "flowrate": "-1"}
6
concentration,gas_constant,mass,temperature,velocity,viscosity
m·v·μ·Θ·c_n·R
chemistry,mechanics,thermo
m·v⁻¹·μ⁻³·Θ²·c_n²·R²
m = k₀ · v·μ³·Θ⁻²·c_n⁻²·R⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "-1", "viscosity": "-3", "temperature": "2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,temperature,velocity,viscosity
m·v·μ·Θ·R·z
chemistry,mechanics,thermo
m·v⁵·μ·Θ⁻²·R⁻²·z⁻²
m = k₀ · v⁻⁵·μ⁻¹·Θ²·R²·z²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "velocity": "5", "viscosity": "1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
6
concentration,entropy,gas_constant,mass,velocity,viscosity
m·v·μ·S_e·c_n·R
chemistry,mechanics,thermo
m³·v³·μ⁻³·S_e⁻²·c_n²·R²
S_e = k₀ · m³ᐟ²·v³ᐟ²·μ⁻³ᐟ²·c_n·R
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "velocity": "3", "viscosity": "-3", "entropy": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,entropy,gas_constant,mass,velocity,viscosity
m·v·μ·S_e·R·z
chemistry,mechanics,thermo
m·v⁻¹·μ⁻¹·S_e⁻²·R²·z²
m = k₀ · v·μ·S_e²·R⁻²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "-1", "viscosity": "-1", "entropy": "-2", "gas_constant": "2", "cat_activity": "2"}
6
concentration,gas_constant,heat_capacity,mass,velocity,viscosity
m·v·μ·C·c_n·R
chemistry,mechanics,thermo
m³·v³·μ⁻³·C⁻²·c_n²·R²
C = k₀ · m³ᐟ²·v³ᐟ²·μ⁻³ᐟ²·c_n·R
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "velocity": "3", "viscosity": "-3", "heat_capacity": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,heat_capacity,mass,velocity,viscosity
m·v·μ·C·R·z
chemistry,mechanics,thermo
m·v⁻¹·μ⁻¹·C⁻²·R²·z²
m = k₀ · v·μ·C²·R⁻²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "-1", "viscosity": "-1", "heat_capacity": "-2", "gas_constant": "2", "cat_activity": "2"}
6
concentration,gas_constant,mass,specific_heat,velocity,viscosity
m·v·μ·c·c_n·R
chemistry,mechanics,thermo
m·v³·μ⁻³·c⁻²·c_n²·R²
m = k₀ · v⁻³·μ³·c²·c_n⁻²·R⁻²
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "velocity": "3", "viscosity": "-3", "specific_heat": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,specific_heat,velocity,viscosity
m·v·μ·c·R·z
chemistry,mechanics,thermo
m·v·μ·c²·R⁻²·z⁻²
m = k₀ · v⁻¹·μ⁻¹·c⁻²·R²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "1", "viscosity": "1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"}
6
concentration,gas_constant,mass,thermal_cond,velocity,viscosity
m·v·μ·κ·c_n·R
chemistry,mechanics,thermo
m·v³·μ⁻¹·κ⁻²·c_n²·R²
m = k₀ · v⁻³·μ·κ²·c_n⁻²·R⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "3", "viscosity": "-1", "thermal_cond": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,thermal_cond,velocity,viscosity
m·v·μ·κ·R·z
chemistry,mechanics,thermo
m·v·μ⁻¹·κ²·R⁻²·z⁻²
m = k₀ · v⁻¹·μ·κ⁻²·R²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "1", "viscosity": "-1", "thermal_cond": "2", "gas_constant": "-2", "cat_activity": "-2"}
4
mass,thermal_diff,velocity,viscosity
m·v·μ·α
mechanics,thermo
m·v³·μ⁻¹·α⁻²
m = k₀ · v⁻³·μ·α²
null
0
2
3
7
5.7
3.8
true
{"mass": "1", "velocity": "3", "viscosity": "-1", "thermal_diff": "-2"}
6
concentration,expansion,gas_constant,mass,velocity,viscosity
m·v·μ·β·c_n·R
chemistry,mechanics,thermo
m·v⁻¹·μ⁻³·β⁻²·c_n²·R²
m = k₀ · v·μ³·β²·c_n⁻²·R⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "-1", "viscosity": "-3", "expansion": "-2", "concentration": "2", "gas_constant": "2"}