Datasets:
RANDMEDIATION
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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
mass,pressure,temperature,thermal_cond,velocity
m·v·P_p·Θ·κ
mechanics,thermo
m·v⁵·P_p²·Θ⁻³·κ⁻³
m = k₀ · v⁻⁵·P_p⁻²·Θ³·κ³
null
0
2
5
14
11.9
-2.4
false
{"mass": "1", "velocity": "5", "pressure": "2", "temperature": "-3", "thermal_cond": "-3"}
6
cat_activity,gas_constant,mass,pressure,temperature,velocity
m·v·P_p·Θ·R·z
chemistry,mechanics,thermo
m²·v⁷·P_p·Θ⁻³·R⁻³·z⁻³
P_p = k₀ · m⁻²·v⁻⁷·Θ³·R³·z³
null
0
3
7
19
17.3
-8.3
false
{"mass": "2", "velocity": "7", "pressure": "1", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
5
entropy,mass,pressure,thermal_cond,velocity
m·v·P_p·S_e·κ
mechanics,thermo
m²·v·P_p⁻²·S_e⁻³·κ³
v = k₀ · m⁻²·P_p²·S_e³·κ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "velocity": "1", "pressure": "-2", "entropy": "-3", "thermal_cond": "3"}
6
concentration,entropy,gas_constant,mass,pressure,velocity
m·v·P_p·S_e·c_n·R
chemistry,mechanics,thermo
m·v²·P_p⁻¹·S_e⁻¹·c_n·R
m = k₀ · v⁻²·P_p·S_e·c_n⁻¹·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "pressure": "-1", "entropy": "-1", "concentration": "1", "gas_constant": "1"}
6
cat_activity,entropy,gas_constant,mass,pressure,velocity
m·v·P_p·S_e·R·z
chemistry,mechanics,thermo
m·v⁻¹·P_p⁻¹·S_e⁻³·R³·z³
m = k₀ · v·P_p·S_e³·R⁻³·z⁻³
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "entropy": "-3", "gas_constant": "3", "cat_activity": "3"}
5
heat_capacity,mass,pressure,thermal_cond,velocity
m·v·P_p·C·κ
mechanics,thermo
m²·v·P_p⁻²·C⁻³·κ³
v = k₀ · m⁻²·P_p²·C³·κ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "velocity": "1", "pressure": "-2", "heat_capacity": "-3", "thermal_cond": "3"}
6
concentration,gas_constant,heat_capacity,mass,pressure,velocity
m·v·P_p·C·c_n·R
chemistry,mechanics,thermo
m·v²·P_p⁻¹·C⁻¹·c_n·R
m = k₀ · v⁻²·P_p·C·c_n⁻¹·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "pressure": "-1", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1"}
6
cat_activity,gas_constant,heat_capacity,mass,pressure,velocity
m·v·P_p·C·R·z
chemistry,mechanics,thermo
m·v⁻¹·P_p⁻¹·C⁻³·R³·z³
m = k₀ · v·P_p·C³·R⁻³·z⁻³
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "heat_capacity": "-3", "gas_constant": "3", "cat_activity": "3"}
5
mass,pressure,specific_heat,thermal_cond,velocity
m·v·P_p·c·κ
mechanics,thermo
m·v⁻¹·P_p²·c³·κ⁻³
m = k₀ · v·P_p⁻²·c⁻³·κ³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "-1", "pressure": "2", "specific_heat": "3", "thermal_cond": "-3"}
6
cat_activity,gas_constant,mass,pressure,specific_heat,velocity
m·v·P_p·c·R·z
chemistry,mechanics,thermo
m²·v·P_p·c³·R⁻³·z⁻³
v = k₀ · m⁻²·P_p⁻¹·c⁻³·R³·z³
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "velocity": "1", "pressure": "1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
expansion,mass,pressure,thermal_cond,velocity
m·v·P_p·κ·β
mechanics,thermo
m·v⁵·P_p²·κ⁻³·β³
m = k₀ · v⁻⁵·P_p⁻²·κ³·β⁻³
null
0
2
5
14
11.9
-2.4
false
{"mass": "1", "velocity": "5", "pressure": "2", "thermal_cond": "-3", "expansion": "3"}
6
amount,gas_constant,mass,pressure,thermal_cond,velocity
m·v·P_p·κ·n·R
chemistry,mechanics,thermo
m²·v·P_p⁻²·κ³·n⁻³·R⁻³
v = k₀ · m⁻²·P_p²·κ⁻³·n³·R³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "velocity": "1", "pressure": "-2", "thermal_cond": "3", "amount": "-3", "gas_constant": "-3"}
6
gas_constant,mass,molar_mass,pressure,thermal_cond,velocity
m·v·P_p·κ·M_m·R
chemistry,mechanics,thermo
m·v⁻¹·P_p²·κ⁻³·M_m⁻³·R³
m = k₀ · v·P_p⁻²·κ³·M_m³·R⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "velocity": "-1", "pressure": "2", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
concentration,gas_constant,mass,pressure,thermal_cond,velocity
m·v·P_p·κ·c_n·R
chemistry,mechanics,thermo
m·v⁵·P_p⁻¹·κ⁻³·c_n³·R³
m = k₀ · v⁻⁵·P_p·κ³·c_n⁻³·R⁻³
null
0
3
5
16
14.2
-5.2
false
{"mass": "1", "velocity": "5", "pressure": "-1", "thermal_cond": "-3", "concentration": "3", "gas_constant": "3"}
6
gas_constant,mass,molar_energy,pressure,thermal_cond,velocity
m·v·P_p·κ·E_m·R
chemistry,mechanics,thermo
m·v⁵·P_p²·κ⁻³·E_m⁻³·R³
m = k₀ · v⁻⁵·P_p⁻²·κ³·E_m³·R⁻³
null
0
3
5
17
14.9
-5.9
false
{"mass": "1", "velocity": "5", "pressure": "2", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
cat_activity,gas_constant,mass,pressure,thermal_cond,velocity
m·v·P_p·κ·R·z
chemistry,mechanics,thermo
m·v²·P_p⁻¹·κ³·R⁻³·z⁻³
m = k₀ · v⁻²·P_p·κ⁻³·R³·z³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "velocity": "2", "pressure": "-1", "thermal_cond": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
avogadro,gas_constant,mass,pressure,thermal_cond,velocity
m·v·P_p·κ·R·N_A
chemistry,constants,mechanics,thermo
m²·v·P_p⁻²·κ³·R⁻³·N_A³
v = k₀ · m⁻²·P_p²·κ⁻³·R³·N_A⁻³
null
1
4
3
14
12.4
-3.9
false
{"mass": "2", "velocity": "1", "pressure": "-2", "thermal_cond": "3", "gas_constant": "-3", "avogadro": "3"}
5
boltzmann,mass,pressure,thermal_cond,velocity
m·v·P_p·κ·k_B
constants,mechanics,thermo
m²·v·P_p⁻²·κ³·k_B⁻³
v = k₀ · m⁻²·P_p²·κ⁻³·k_B³
null
1
3
3
11
9.4
-0.4
false
{"mass": "2", "velocity": "1", "pressure": "-2", "thermal_cond": "3", "boltzmann": "-3"}
4
mass,pressure,thermal_diff,velocity
m·v·P_p·α
mechanics,thermo
m·v⁵·P_p⁻¹·α⁻³
m = k₀ · v⁻⁵·P_p·α³
null
0
2
5
10
8.8
0.7
false
{"mass": "1", "velocity": "5", "pressure": "-1", "thermal_diff": "-3"}
6
cat_activity,expansion,gas_constant,mass,pressure,velocity
m·v·P_p·β·R·z
chemistry,mechanics,thermo
m²·v⁷·P_p·β³·R⁻³·z⁻³
P_p = k₀ · m⁻²·v⁻⁷·β⁻³·R³·z³
null
0
3
7
19
17.3
-8.3
false
{"mass": "2", "velocity": "7", "pressure": "1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
charge,current,mass,pressure,velocity
m·v·P_p·q·i
em,mechanics
m·v⁻¹·P_p⁻¹·q⁻³·i³
m = k₀ · v·P_p·q³·i⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "charge": "-3", "current": "3"}
5
charge,mass,pressure,resistance,velocity
m·v·P_p·q·R
em,mechanics
m⁴·v⁵·P_p⁻¹·q⁻⁶·R⁻³
P_p = k₀ · m⁴·v⁵·q⁻⁶·R⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "velocity": "5", "pressure": "-1", "charge": "-6", "resistance": "-3"}
5
charge,inductance,mass,pressure,velocity
m·v·P_p·q·L_e
em,mechanics
m⁵·v⁴·P_p⁻²·q⁻⁶·L_e⁻³
P_p = k₀ · m⁵ᐟ²·v²·q⁻³·L_e⁻³ᐟ²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "velocity": "4", "pressure": "-2", "charge": "-6", "inductance": "-3"}
5
charge,efield,mass,pressure,velocity
m·v·P_p·q·E_f
em,mechanics
m²·v⁴·P_p·q⁻³·E_f⁻³
P_p = k₀ · m⁻²·v⁻⁴·q³·E_f³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "4", "pressure": "1", "charge": "-3", "efield": "-3"}
5
bfield,charge,mass,pressure,velocity
m·v·P_p·q·B
em,mechanics
m²·v·P_p·q⁻³·B⁻³
v = k₀ · m⁻²·P_p⁻¹·q³·B³
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "1", "pressure": "1", "charge": "-3", "bfield": "-3"}
5
charge,mag_flux,mass,pressure,velocity
m·v·P_p·q·Φ
em,mechanics
m⁴·v⁵·P_p⁻¹·q⁻³·Φ⁻³
P_p = k₀ · m⁴·v⁵·q⁻³·Φ⁻³
null
0
2
5
16
13.3
-3.8
false
{"mass": "4", "velocity": "5", "pressure": "-1", "charge": "-3", "mag_flux": "-3"}
5
charge,mass,permittivity,pressure,velocity
m·v·P_p·q·ε
em,mechanics
m⁴·v⁸·P_p⁻¹·q⁻⁶·ε³
P_p = k₀ · m⁴·v⁸·q⁻⁶·ε³
null
0
2
8
22
19
-9.5
false
{"mass": "4", "velocity": "8", "pressure": "-1", "charge": "-6", "permittivity": "3"}
5
charge,mass,permeability,pressure,velocity
m·v·P_p·q·μ₀
em,mechanics
m⁴·v²·P_p⁻¹·q⁻⁶·μ₀⁻³
P_p = k₀ · m⁴·v²·q⁻⁶·μ₀⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "4", "velocity": "2", "pressure": "-1", "charge": "-6", "permeability": "-3"}
5
charge,conductivity,mass,pressure,velocity
m·v·P_p·q·σ
em,mechanics
m⁵·v⁷·P_p⁻²·q⁻⁶·σ³
P_p = k₀ · m⁵ᐟ²·v⁷ᐟ²·q⁻³·σ³ᐟ²
null
0
2
7
23
19.2
-9.7
false
{"mass": "5", "velocity": "7", "pressure": "-2", "charge": "-6", "conductivity": "3"}
5
charge,mass,pressure,resistivity,velocity
m·v·P_p·q·ρ_e
em,mechanics
m⁵·v⁷·P_p⁻²·q⁻⁶·ρ_e⁻³
P_p = k₀ · m⁵ᐟ²·v⁷ᐟ²·q⁻³·ρ_e⁻³ᐟ²
null
0
2
7
23
19.2
-9.7
false
{"mass": "5", "velocity": "7", "pressure": "-2", "charge": "-6", "resistivity": "-3"}
5
current,mass,pressure,velocity,voltage
m·v·P_p·i·U
em,mechanics
m²·v⁷·P_p·i⁻³·U⁻³
P_p = k₀ · m⁻²·v⁻⁷·i³·U³
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "velocity": "7", "pressure": "1", "current": "-3", "voltage": "-3"}
5
current,mass,pressure,resistance,velocity
m·v·P_p·i·R
em,mechanics
m²·v⁷·P_p·i⁻⁶·R⁻³
P_p = k₀ · m⁻²·v⁻⁷·i⁶·R³
null
0
2
7
19
16.4
-6.9
false
{"mass": "2", "velocity": "7", "pressure": "1", "current": "-6", "resistance": "-3"}
5
capacitance,current,mass,pressure,velocity
m·v·P_p·i·C_e
em,mechanics
m·v⁸·P_p²·i⁻⁶·C_e³
m = k₀ · v⁻⁸·P_p⁻²·i⁶·C_e⁻³
null
0
2
8
20
17.6
-8.1
false
{"mass": "1", "velocity": "8", "pressure": "2", "current": "-6", "capacitance": "3"}
5
current,efield,mass,pressure,velocity
m·v·P_p·i·E_f
em,mechanics
m·v⁵·P_p²·i⁻³·E_f⁻³
m = k₀ · v⁻⁵·P_p⁻²·i³·E_f³
null
0
2
5
14
11.9
-2.4
false
{"mass": "1", "velocity": "5", "pressure": "2", "current": "-3", "efield": "-3"}
5
bfield,current,mass,pressure,velocity
m·v·P_p·i·B
em,mechanics
m·v²·P_p²·i⁻³·B⁻³
m = k₀ · v⁻²·P_p⁻²·i³·B³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "velocity": "2", "pressure": "2", "current": "-3", "bfield": "-3"}
5
current,mass,permittivity,pressure,velocity
m·v·P_p·i·ε
em,mechanics
m²·v¹⁰·P_p·i⁻⁶·ε³
P_p = k₀ · m⁻²·v⁻¹⁰·i⁶·ε⁻³
null
0
2
10
22
20
-10.5
false
{"mass": "2", "velocity": "10", "pressure": "1", "current": "-6", "permittivity": "3"}
5
current,mass,permeability,pressure,velocity
m·v·P_p·i·μ₀
em,mechanics
m²·v⁴·P_p·i⁻⁶·μ₀⁻³
P_p = k₀ · m⁻²·v⁻⁴·i⁶·μ₀³
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "velocity": "4", "pressure": "1", "current": "-6", "permeability": "-3"}
5
current,elem_charge,mass,pressure,velocity
m·v·P_p·i·e
constants,em,mechanics
m·v⁻¹·P_p⁻¹·i³·e⁻³
m = k₀ · v·P_p·i⁻³·e³
null
1
3
3
9
8
1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "current": "3", "elem_charge": "-3"}
5
mass,pressure,resistance,velocity,voltage
m·v·P_p·U·R
em,mechanics
m²·v⁷·P_p·U⁻⁶·R³
P_p = k₀ · m⁻²·v⁻⁷·U⁶·R⁻³
null
0
2
7
19
16.4
-6.9
false
{"mass": "2", "velocity": "7", "pressure": "1", "voltage": "-6", "resistance": "3"}
5
inductance,mass,pressure,velocity,voltage
m·v·P_p·U·L_e
em,mechanics
m·v⁸·P_p²·U⁻⁶·L_e³
m = k₀ · v⁻⁸·P_p⁻²·U⁶·L_e⁻³
null
0
2
8
20
17.6
-8.1
false
{"mass": "1", "velocity": "8", "pressure": "2", "voltage": "-6", "inductance": "3"}
5
efield,mass,pressure,velocity,voltage
m·v·P_p·U·E_f
em,mechanics
m·v²·P_p⁻¹·U⁻³·E_f³
m = k₀ · v⁻²·P_p·U³·E_f⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "pressure": "-1", "voltage": "-3", "efield": "3"}
5
bfield,mass,pressure,velocity,voltage
m·v·P_p·U·B
em,mechanics
m·v⁵·P_p⁻¹·U⁻³·B³
m = k₀ · v⁻⁵·P_p·U³·B⁻³
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "pressure": "-1", "voltage": "-3", "bfield": "3"}
5
mag_flux,mass,pressure,velocity,voltage
m·v·P_p·U·Φ
em,mechanics
m·v⁻¹·P_p⁻¹·U³·Φ⁻³
m = k₀ · v·P_p·U⁻³·Φ³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "voltage": "3", "mag_flux": "-3"}
5
mass,permittivity,pressure,velocity,voltage
m·v·P_p·U·ε
em,mechanics
m²·v⁴·P_p·U⁻⁶·ε⁻³
P_p = k₀ · m⁻²·v⁻⁴·U⁶·ε³
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "velocity": "4", "pressure": "1", "voltage": "-6", "permittivity": "-3"}
5
mass,permeability,pressure,velocity,voltage
m·v·P_p·U·μ₀
em,mechanics
m²·v¹⁰·P_p·U⁻⁶·μ₀³
P_p = k₀ · m⁻²·v⁻¹⁰·U⁶·μ₀⁻³
null
0
2
10
22
20
-10.5
false
{"mass": "2", "velocity": "10", "pressure": "1", "voltage": "-6", "permeability": "3"}
5
conductivity,mass,pressure,velocity,voltage
m·v·P_p·U·σ
em,mechanics
m·v⁵·P_p²·U⁻⁶·σ⁻³
m = k₀ · v⁻⁵·P_p⁻²·U⁶·σ³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "velocity": "5", "pressure": "2", "voltage": "-6", "conductivity": "-3"}
5
mass,pressure,resistivity,velocity,voltage
m·v·P_p·U·ρ_e
em,mechanics
m·v⁵·P_p²·U⁻⁶·ρ_e³
m = k₀ · v⁻⁵·P_p⁻²·U⁶·ρ_e⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "velocity": "5", "pressure": "2", "voltage": "-6", "resistivity": "3"}
5
capacitance,mass,pressure,resistance,velocity
m·v·P_p·R·C_e
em,mechanics
m·v⁻¹·P_p⁻¹·R⁻³·C_e⁻³
m = k₀ · v·P_p·R³·C_e³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "resistance": "-3", "capacitance": "-3"}
5
inductance,mass,pressure,resistance,velocity
m·v·P_p·R·L_e
em,mechanics
m·v⁻¹·P_p⁻¹·R³·L_e⁻³
m = k₀ · v·P_p·R⁻³·L_e³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "resistance": "3", "inductance": "-3"}
5
mag_flux,mass,pressure,resistance,velocity
m·v·P_p·R·Φ
em,mechanics
m⁴·v⁵·P_p⁻¹·R³·Φ⁻⁶
P_p = k₀ · m⁴·v⁵·R³·Φ⁻⁶
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "velocity": "5", "pressure": "-1", "resistance": "3", "mag_flux": "-6"}
5
conductivity,mass,pressure,resistance,velocity
m·v·P_p·R·σ
em,mechanics
m·v²·P_p⁻¹·R³·σ³
m = k₀ · v⁻²·P_p·R⁻³·σ⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "pressure": "-1", "resistance": "3", "conductivity": "3"}
5
mass,pressure,resistance,resistivity,velocity
m·v·P_p·R·ρ_e
em,mechanics
m·v²·P_p⁻¹·R³·ρ_e⁻³
m = k₀ · v⁻²·P_p·R⁻³·ρ_e³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "pressure": "-1", "resistance": "3", "resistivity": "-3"}
5
elem_charge,mass,pressure,resistance,velocity
m·v·P_p·R·e
constants,em,mechanics
m⁴·v⁵·P_p⁻¹·R⁻³·e⁻⁶
P_p = k₀ · m⁴·v⁵·R⁻³·e⁻⁶
null
1
3
6
19
16.5
-7.5
false
{"mass": "4", "velocity": "5", "pressure": "-1", "resistance": "-3", "elem_charge": "-6"}
5
capacitance,inductance,mass,pressure,velocity
m·v·P_p·C_e·L_e
em,mechanics
m²·v⁻²·P_p⁻²·C_e⁻³·L_e⁻³
m = k₀ · v·P_p·C_e³ᐟ²·L_e³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "velocity": "-2", "pressure": "-2", "capacitance": "-3", "inductance": "-3"}
5
capacitance,efield,mass,pressure,velocity
m·v·P_p·C_e·E_f
em,mechanics
m·v²·P_p²·C_e⁻³·E_f⁻⁶
m = k₀ · v⁻²·P_p⁻²·C_e³·E_f⁶
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "2", "pressure": "2", "capacitance": "-3", "efield": "-6"}
5
bfield,capacitance,mass,pressure,velocity
m·v·P_p·C_e·B
em,mechanics
m·v⁻⁴·P_p²·C_e⁻³·B⁻⁶
m = k₀ · v⁴·P_p⁻²·C_e³·B⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "velocity": "-4", "pressure": "2", "capacitance": "-3", "bfield": "-6"}
5
capacitance,mag_flux,mass,pressure,velocity
m·v·P_p·C_e·Φ
em,mechanics
m⁵·v⁴·P_p⁻²·C_e⁻³·Φ⁻⁶
P_p = k₀ · m⁵ᐟ²·v²·C_e⁻³ᐟ²·Φ⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "velocity": "4", "pressure": "-2", "capacitance": "-3", "mag_flux": "-6"}
5
capacitance,mass,permittivity,pressure,velocity
m·v·P_p·C_e·ε
em,mechanics
m·v²·P_p⁻¹·C_e⁻³·ε³
m = k₀ · v⁻²·P_p·C_e³·ε⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "pressure": "-1", "capacitance": "-3", "permittivity": "3"}
5
capacitance,mass,permeability,pressure,velocity
m·v·P_p·C_e·μ₀
em,mechanics
m·v⁻⁴·P_p⁻¹·C_e⁻³·μ₀⁻³
m = k₀ · v⁴·P_p·C_e³·μ₀³
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-4", "pressure": "-1", "capacitance": "-3", "permeability": "-3"}
5
capacitance,conductivity,mass,pressure,velocity
m·v·P_p·C_e·σ
em,mechanics
m²·v·P_p⁻²·C_e⁻³·σ³
v = k₀ · m⁻²·P_p²·C_e³·σ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "velocity": "1", "pressure": "-2", "capacitance": "-3", "conductivity": "3"}
5
capacitance,mass,pressure,resistivity,velocity
m·v·P_p·C_e·ρ_e
em,mechanics
m²·v·P_p⁻²·C_e⁻³·ρ_e⁻³
v = k₀ · m⁻²·P_p²·C_e³·ρ_e³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "velocity": "1", "pressure": "-2", "capacitance": "-3", "resistivity": "-3"}
5
efield,inductance,mass,pressure,velocity
m·v·P_p·L_e·E_f
em,mechanics
m·v⁻⁴·P_p⁻⁴·L_e⁻³·E_f⁶
m = k₀ · v⁴·P_p⁴·L_e³·E_f⁻⁶
null
0
2
6
18
15.2
-5.7
false
{"mass": "1", "velocity": "-4", "pressure": "-4", "inductance": "-3", "efield": "6"}
5
bfield,inductance,mass,pressure,velocity
m·v·P_p·L_e·B
em,mechanics
m·v²·P_p⁻⁴·L_e⁻³·B⁶
m = k₀ · v⁻²·P_p⁴·L_e³·B⁻⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "velocity": "2", "pressure": "-4", "inductance": "-3", "bfield": "6"}
5
inductance,mass,permittivity,pressure,velocity
m·v·P_p·L_e·ε
em,mechanics
m·v⁻⁴·P_p⁻¹·L_e⁻³·ε⁻³
m = k₀ · v⁴·P_p·L_e³·ε³
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-4", "pressure": "-1", "inductance": "-3", "permittivity": "-3"}
5
inductance,mass,permeability,pressure,velocity
m·v·P_p·L_e·μ₀
em,mechanics
m·v²·P_p⁻¹·L_e⁻³·μ₀³
m = k₀ · v⁻²·P_p·L_e³·μ₀⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "pressure": "-1", "inductance": "-3", "permeability": "3"}
5
elem_charge,inductance,mass,pressure,velocity
m·v·P_p·L_e·e
constants,em,mechanics
m⁵·v⁴·P_p⁻²·L_e⁻³·e⁻⁶
P_p = k₀ · m⁵ᐟ²·v²·L_e⁻³ᐟ²·e⁻³
null
1
3
6
20
17.2
-8.2
false
{"mass": "5", "velocity": "4", "pressure": "-2", "inductance": "-3", "elem_charge": "-6"}
5
efield,mag_flux,mass,pressure,velocity
m·v·P_p·E_f·Φ
em,mechanics
m²·v·P_p⁻²·E_f³·Φ⁻³
v = k₀ · m⁻²·P_p²·E_f⁻³·Φ³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "velocity": "1", "pressure": "-2", "efield": "3", "mag_flux": "-3"}
5
conductivity,efield,mass,pressure,velocity
m·v·P_p·E_f·σ
em,mechanics
m·v⁻¹·P_p⁻⁴·E_f⁶·σ³
m = k₀ · v·P_p⁴·E_f⁻⁶·σ⁻³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "velocity": "-1", "pressure": "-4", "efield": "6", "conductivity": "3"}
5
efield,mass,pressure,resistivity,velocity
m·v·P_p·E_f·ρ_e
em,mechanics
m·v⁻¹·P_p⁻⁴·E_f⁶·ρ_e⁻³
m = k₀ · v·P_p⁴·E_f⁻⁶·ρ_e³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "velocity": "-1", "pressure": "-4", "efield": "6", "resistivity": "-3"}
5
efield,elem_charge,mass,pressure,velocity
m·v·P_p·E_f·e
constants,em,mechanics
m²·v⁴·P_p·E_f⁻³·e⁻³
P_p = k₀ · m⁻²·v⁻⁴·E_f³·e³
null
1
3
4
13
11.3
-2.3
false
{"mass": "2", "velocity": "4", "pressure": "1", "efield": "-3", "elem_charge": "-3"}
5
bfield,mag_flux,mass,pressure,velocity
m·v·P_p·B·Φ
em,mechanics
m²·v⁴·P_p⁻²·B³·Φ⁻³
m = k₀ · v⁻²·P_p·B⁻³ᐟ²·Φ³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "velocity": "4", "pressure": "-2", "bfield": "3", "mag_flux": "-3"}
5
bfield,conductivity,mass,pressure,velocity
m·v·P_p·B·σ
em,mechanics
m·v⁵·P_p⁻⁴·B⁶·σ³
m = k₀ · v⁻⁵·P_p⁴·B⁻⁶·σ⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "1", "velocity": "5", "pressure": "-4", "bfield": "6", "conductivity": "3"}
5
bfield,mass,pressure,resistivity,velocity
m·v·P_p·B·ρ_e
em,mechanics
m·v⁵·P_p⁻⁴·B⁶·ρ_e⁻³
m = k₀ · v⁻⁵·P_p⁴·B⁻⁶·ρ_e³
null
0
2
6
19
15.9
-6.4
false
{"mass": "1", "velocity": "5", "pressure": "-4", "bfield": "6", "resistivity": "-3"}
5
bfield,elem_charge,mass,pressure,velocity
m·v·P_p·B·e
constants,em,mechanics
m²·v·P_p·B⁻³·e⁻³
v = k₀ · m⁻²·P_p⁻¹·B³·e³
null
1
3
3
10
8.7
0.3
false
{"mass": "2", "velocity": "1", "pressure": "1", "bfield": "-3", "elem_charge": "-3"}
5
mag_flux,mass,permittivity,pressure,velocity
m·v·P_p·Φ·ε
em,mechanics
m⁴·v²·P_p⁻¹·Φ⁻⁶·ε⁻³
P_p = k₀ · m⁴·v²·Φ⁻⁶·ε⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "4", "velocity": "2", "pressure": "-1", "mag_flux": "-6", "permittivity": "-3"}
5
mag_flux,mass,permeability,pressure,velocity
m·v·P_p·Φ·μ₀
em,mechanics
m⁴·v⁸·P_p⁻¹·Φ⁻⁶·μ₀³
P_p = k₀ · m⁴·v⁸·Φ⁻⁶·μ₀³
null
0
2
8
22
19
-9.5
false
{"mass": "4", "velocity": "8", "pressure": "-1", "mag_flux": "-6", "permeability": "3"}
5
elem_charge,mag_flux,mass,pressure,velocity
m·v·P_p·Φ·e
constants,em,mechanics
m⁴·v⁵·P_p⁻¹·Φ⁻³·e⁻³
P_p = k₀ · m⁴·v⁵·Φ⁻³·e⁻³
null
1
3
5
16
13.9
-4.9
false
{"mass": "4", "velocity": "5", "pressure": "-1", "mag_flux": "-3", "elem_charge": "-3"}
5
conductivity,mass,permittivity,pressure,velocity
m·v·P_p·ε·σ
em,mechanics
m·v⁻¹·P_p⁻¹·ε⁻³·σ³
m = k₀ · v·P_p·ε³·σ⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "permittivity": "-3", "conductivity": "3"}
5
mass,permittivity,pressure,resistivity,velocity
m·v·P_p·ε·ρ_e
em,mechanics
m·v⁻¹·P_p⁻¹·ε⁻³·ρ_e⁻³
m = k₀ · v·P_p·ε³·ρ_e³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "permittivity": "-3", "resistivity": "-3"}
5
elem_charge,mass,permittivity,pressure,velocity
m·v·P_p·ε·e
constants,em,mechanics
m⁴·v⁸·P_p⁻¹·ε³·e⁻⁶
P_p = k₀ · m⁴·v⁸·ε³·e⁻⁶
null
1
3
8
22
19.6
-10.6
false
{"mass": "4", "velocity": "8", "pressure": "-1", "permittivity": "3", "elem_charge": "-6"}
5
conductivity,mass,permeability,pressure,velocity
m·v·P_p·μ₀·σ
em,mechanics
m·v⁵·P_p⁻¹·μ₀³·σ³
m = k₀ · v⁻⁵·P_p·μ₀⁻³·σ⁻³
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "pressure": "-1", "permeability": "3", "conductivity": "3"}
5
mass,permeability,pressure,resistivity,velocity
m·v·P_p·μ₀·ρ_e
em,mechanics
m·v⁵·P_p⁻¹·μ₀³·ρ_e⁻³
m = k₀ · v⁻⁵·P_p·μ₀⁻³·ρ_e³
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "pressure": "-1", "permeability": "3", "resistivity": "-3"}
5
elem_charge,mass,permeability,pressure,velocity
m·v·P_p·μ₀·e
constants,em,mechanics
m⁴·v²·P_p⁻¹·μ₀⁻³·e⁻⁶
P_p = k₀ · m⁴·v²·μ₀⁻³·e⁻⁶
null
1
3
6
16
14.4
-5.4
false
{"mass": "4", "velocity": "2", "pressure": "-1", "permeability": "-3", "elem_charge": "-6"}
5
conductivity,elem_charge,mass,pressure,velocity
m·v·P_p·σ·e
constants,em,mechanics
m⁵·v⁷·P_p⁻²·σ³·e⁻⁶
P_p = k₀ · m⁵ᐟ²·v⁷ᐟ²·σ³ᐟ²·e⁻³
null
1
3
7
23
19.8
-10.8
false
{"mass": "5", "velocity": "7", "pressure": "-2", "conductivity": "3", "elem_charge": "-6"}
5
elem_charge,mass,pressure,resistivity,velocity
m·v·P_p·ρ_e·e
constants,em,mechanics
m⁵·v⁷·P_p⁻²·ρ_e⁻³·e⁻⁶
P_p = k₀ · m⁵ᐟ²·v⁷ᐟ²·ρ_e⁻³ᐟ²·e⁻³
null
1
3
7
23
19.8
-10.8
false
{"mass": "5", "velocity": "7", "pressure": "-2", "resistivity": "-3", "elem_charge": "-6"}
5
amount,concentration,mass,pressure,velocity
m·v·P_p·n·c_n
chemistry,mechanics
m·v²·P_p⁻¹·n⁻¹·c_n
m = k₀ · v⁻²·P_p·n·c_n⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "pressure": "-1", "amount": "-1", "concentration": "1"}
5
amount,cat_activity,mass,pressure,velocity
m·v·P_p·n·z
chemistry,mechanics
m·v⁻¹·P_p⁻¹·n⁻³·z³
m = k₀ · v·P_p·n³·z⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "amount": "-3", "cat_activity": "3"}
5
cat_activity,mass,molar_mass,pressure,velocity
m·v·P_p·M_m·z
chemistry,mechanics
m²·v·P_p·M_m⁻³·z⁻³
v = k₀ · m⁻²·P_p⁻¹·M_m³·z³
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "1", "pressure": "1", "molar_mass": "-3", "cat_activity": "-3"}
6
boltzmann,concentration,gas_constant,mass,pressure,velocity
m·v·P_p·c_n·R·k_B
chemistry,constants,mechanics
m·v²·P_p⁻¹·c_n·R·k_B⁻¹
m = k₀ · v⁻²·P_p·c_n⁻¹·R⁻¹·k_B
null
1
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "pressure": "-1", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
5
cat_activity,concentration,mass,pressure,velocity
m·v·P_p·c_n·z
chemistry,mechanics
m²·v⁷·P_p⁻²·c_n³·z⁻³
m = k₀ · v⁻⁷ᐟ²·P_p·c_n⁻³ᐟ²·z³ᐟ²
null
0
2
7
17
15
-5.5
false
{"mass": "2", "velocity": "7", "pressure": "-2", "concentration": "3", "cat_activity": "-3"}
5
avogadro,concentration,mass,pressure,velocity
m·v·P_p·c_n·N_A
chemistry,constants,mechanics
m·v²·P_p⁻¹·c_n·N_A
m = k₀ · v⁻²·P_p·c_n⁻¹·N_A⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "pressure": "-1", "concentration": "1", "avogadro": "1"}
5
cat_activity,mass,molar_energy,pressure,velocity
m·v·P_p·E_m·z
chemistry,mechanics
m²·v⁷·P_p·E_m⁻³·z⁻³
P_p = k₀ · m⁻²·v⁻⁷·E_m³·z³
null
0
2
7
16
14.3
-4.8
false
{"mass": "2", "velocity": "7", "pressure": "1", "molar_energy": "-3", "cat_activity": "-3"}
6
boltzmann,cat_activity,gas_constant,mass,pressure,velocity
m·v·P_p·R·z·k_B
chemistry,constants,mechanics
m·v⁻¹·P_p⁻¹·R³·z³·k_B⁻³
m = k₀ · v·P_p·R⁻³·z⁻³·k_B³
null
1
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
5
avogadro,cat_activity,mass,pressure,velocity
m·v·P_p·z·N_A
chemistry,constants,mechanics
m·v⁻¹·P_p⁻¹·z³·N_A³
m = k₀ · v·P_p·z⁻³·N_A⁻³
null
1
3
3
9
8
1
false
{"mass": "1", "velocity": "-1", "pressure": "-1", "cat_activity": "3", "avogadro": "3"}
5
illuminance,lum_intensity,mass,pressure,velocity
m·v·P_p·I_v·E_v
mechanics,photometry
m²·v⁴·P_p⁻²·I_v⁻³·E_v³
m = k₀ · v⁻²·P_p·I_v³ᐟ²·E_v⁻³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "velocity": "4", "pressure": "-2", "lum_intensity": "-3", "illuminance": "3"}
5
lum_intensity,luminance,mass,pressure,velocity
m·v·P_p·I_v·L_v
mechanics,photometry
m²·v⁴·P_p⁻²·I_v⁻³·L_v³
m = k₀ · v⁻²·P_p·I_v³ᐟ²·L_v⁻³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "velocity": "4", "pressure": "-2", "lum_intensity": "-3", "luminance": "3"}
4
grav_const,mass,pressure,velocity
m·v·P_p·G
constants,mechanics
m²·v⁻⁸·P_p·G³
P_p = k₀ · m⁻²·v⁸·G⁻³
null
1
2
8
14
13.1
-3.6
false
{"mass": "2", "velocity": "-8", "pressure": "1", "grav_const": "3"}
4
mass,planck,pressure,velocity
m·v·P_p·h
constants,mechanics
m⁴·v⁵·P_p⁻¹·h⁻³
P_p = k₀ · m⁴·v⁵·h⁻³
null
1
2
5
13
10.9
-1.4
false
{"mass": "4", "velocity": "5", "pressure": "-1", "planck": "-3"}
4
density,mass,velocity,viscosity
m·v·ρ·μ
mechanics
m·v³·ρ²·μ⁻³
m = k₀ · v⁻³·ρ⁻²·μ³
null
0
1
3
9
6.5
3.5
false
{"mass": "1", "velocity": "3", "density": "2", "viscosity": "-3"}
4
density,kin_viscosity,mass,velocity
m·v·ρ·ν
mechanics
m·v³·ρ⁻¹·ν⁻³
m = k₀ · v⁻³·ρ·ν³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "velocity": "3", "density": "-1", "kin_viscosity": "-3"}