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
area,mass,power,velocity
m·v·P·A
mechanics
m²·v⁶·P⁻²·A⁻¹
A = k₀ · m²·v⁶·P⁻²
null
0
1
6
11
9.4
0.6
false
{"mass": "2", "velocity": "6", "power": "-2", "area": "-1"}
4
mass,power,velocity,volume
m·v·P·V
mechanics
m³·v⁹·P⁻³·V⁻¹
V = k₀ · m³·v⁹·P⁻³
null
0
1
9
16
14.4
-4.4
false
{"mass": "3", "velocity": "9", "power": "-3", "volume": "-1"}
4
flowrate,mass,power,velocity
m·v·P·Q
mechanics
m²·v⁷·P⁻²·Q⁻¹
Q = k₀ · m²·v⁷·P⁻²
null
0
1
7
12
10.6
-0.6
false
{"mass": "2", "velocity": "7", "power": "-2", "flowrate": "-1"}
5
mass,power,temperature,thermal_cond,velocity
m·v·P·Θ·κ
mechanics,thermo
m·v³·P⁻²·Θ·κ
m = k₀ · v⁻³·P²·Θ⁻¹·κ⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "power": "-2", "temperature": "1", "thermal_cond": "1"}
6
concentration,gas_constant,mass,power,temperature,velocity
m·v·P·Θ·c_n·R
chemistry,mechanics,thermo
m²·v⁷·P⁻³·Θ·c_n·R
Θ = k₀ · m⁻²·v⁻⁷·P³·c_n⁻¹·R⁻¹
null
0
3
7
15
14.5
-5.5
false
{"mass": "2", "velocity": "7", "power": "-3", "temperature": "1", "concentration": "1", "gas_constant": "1"}
5
entropy,mass,power,thermal_cond,velocity
m·v·P·S_e·κ
mechanics,thermo
m²·v⁵·P⁻²·S_e⁻¹·κ
S_e = k₀ · m²·v⁵·P⁻²·κ
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-2", "entropy": "-1", "thermal_cond": "1"}
6
concentration,entropy,gas_constant,mass,power,velocity
m·v·P·S_e·c_n·R
chemistry,mechanics,thermo
m³·v⁹·P⁻³·S_e⁻¹·c_n·R
S_e = k₀ · m³·v⁹·P⁻³·c_n·R
null
0
3
9
18
17.6
-8.6
false
{"mass": "3", "velocity": "9", "power": "-3", "entropy": "-1", "concentration": "1", "gas_constant": "1"}
6
cat_activity,entropy,gas_constant,mass,power,velocity
m·v·P·S_e·R·z
chemistry,mechanics,thermo
m·v²·P⁻¹·S_e⁻¹·R·z
m = k₀ · v⁻²·P·S_e·R⁻¹·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "power": "-1", "entropy": "-1", "gas_constant": "1", "cat_activity": "1"}
5
heat_capacity,mass,power,thermal_cond,velocity
m·v·P·C·κ
mechanics,thermo
m²·v⁵·P⁻²·C⁻¹·κ
C = k₀ · m²·v⁵·P⁻²·κ
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-2", "heat_capacity": "-1", "thermal_cond": "1"}
6
concentration,gas_constant,heat_capacity,mass,power,velocity
m·v·P·C·c_n·R
chemistry,mechanics,thermo
m³·v⁹·P⁻³·C⁻¹·c_n·R
C = k₀ · m³·v⁹·P⁻³·c_n·R
null
0
3
9
18
17.6
-8.6
false
{"mass": "3", "velocity": "9", "power": "-3", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1"}
6
cat_activity,gas_constant,heat_capacity,mass,power,velocity
m·v·P·C·R·z
chemistry,mechanics,thermo
m·v²·P⁻¹·C⁻¹·R·z
m = k₀ · v⁻²·P·C·R⁻¹·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "power": "-1", "heat_capacity": "-1", "gas_constant": "1", "cat_activity": "1"}
5
mass,power,specific_heat,thermal_cond,velocity
m·v·P·c·κ
mechanics,thermo
m·v⁵·P⁻²·c⁻¹·κ
m = k₀ · v⁻⁵·P²·c·κ⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "velocity": "5", "power": "-2", "specific_heat": "-1", "thermal_cond": "1"}
6
concentration,gas_constant,mass,power,specific_heat,velocity
m·v·P·c·c_n·R
chemistry,mechanics,thermo
m²·v⁹·P⁻³·c⁻¹·c_n·R
c = k₀ · m²·v⁹·P⁻³·c_n·R
null
0
3
9
17
16.9
-7.9
false
{"mass": "2", "velocity": "9", "power": "-3", "specific_heat": "-1", "concentration": "1", "gas_constant": "1"}
5
expansion,mass,power,thermal_cond,velocity
m·v·P·κ·β
mechanics,thermo
m·v³·P⁻²·κ·β⁻¹
m = k₀ · v⁻³·P²·κ⁻¹·β
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "power": "-2", "thermal_cond": "1", "expansion": "-1"}
6
amount,gas_constant,mass,power,thermal_cond,velocity
m·v·P·κ·n·R
chemistry,mechanics,thermo
m²·v⁵·P⁻²·κ·n⁻¹·R⁻¹
κ = k₀ · m⁻²·v⁻⁵·P²·n·R
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "velocity": "5", "power": "-2", "thermal_cond": "1", "amount": "-1", "gas_constant": "-1"}
6
gas_constant,mass,molar_mass,power,thermal_cond,velocity
m·v·P·κ·M_m·R
chemistry,mechanics,thermo
m·v⁵·P⁻²·κ·M_m·R⁻¹
m = k₀ · v⁻⁵·P²·κ⁻¹·M_m⁻¹·R
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "velocity": "5", "power": "-2", "thermal_cond": "1", "molar_mass": "1", "gas_constant": "-1"}
6
concentration,gas_constant,mass,power,thermal_cond,velocity
m·v·P·κ·c_n·R
chemistry,mechanics,thermo
m·v⁴·P⁻¹·κ⁻¹·c_n·R
m = k₀ · v⁻⁴·P·κ·c_n⁻¹·R⁻¹
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "velocity": "4", "power": "-1", "thermal_cond": "-1", "concentration": "1", "gas_constant": "1"}
6
gas_constant,mass,molar_energy,power,thermal_cond,velocity
m·v·P·κ·E_m·R
chemistry,mechanics,thermo
m·v³·P⁻²·κ·E_m·R⁻¹
m = k₀ · v⁻³·P²·κ⁻¹·E_m⁻¹·R
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "power": "-2", "thermal_cond": "1", "molar_energy": "1", "gas_constant": "-1"}
6
cat_activity,gas_constant,mass,power,thermal_cond,velocity
m·v·P·κ·R·z
chemistry,mechanics,thermo
m·v³·P⁻¹·κ·R⁻¹·z⁻¹
m = k₀ · v⁻³·P·κ⁻¹·R·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "power": "-1", "thermal_cond": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,gas_constant,mass,power,thermal_cond,velocity
m·v·P·κ·R·N_A
chemistry,constants,mechanics,thermo
m²·v⁵·P⁻²·κ·R⁻¹·N_A
κ = k₀ · m⁻²·v⁻⁵·P²·R·N_A⁻¹
null
1
4
5
12
12
-3.5
false
{"mass": "2", "velocity": "5", "power": "-2", "thermal_cond": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,mass,power,thermal_cond,velocity
m·v·P·κ·k_B
constants,mechanics,thermo
m²·v⁵·P⁻²·κ·k_B⁻¹
κ = k₀ · m⁻²·v⁻⁵·P²·k_B
null
1
3
5
11
10.4
-1.4
false
{"mass": "2", "velocity": "5", "power": "-2", "thermal_cond": "1", "boltzmann": "-1"}
4
mass,power,thermal_diff,velocity
m·v·P·α
mechanics,thermo
m·v⁴·P⁻¹·α⁻¹
m = k₀ · v⁻⁴·P·α
null
0
2
4
7
6.2
3.3
false
{"mass": "1", "velocity": "4", "power": "-1", "thermal_diff": "-1"}
6
concentration,expansion,gas_constant,mass,power,velocity
m·v·P·β·c_n·R
chemistry,mechanics,thermo
m²·v⁷·P⁻³·β⁻¹·c_n·R
β = k₀ · m²·v⁷·P⁻³·c_n·R
null
0
3
7
15
14.5
-5.5
false
{"mass": "2", "velocity": "7", "power": "-3", "expansion": "-1", "concentration": "1", "gas_constant": "1"}
5
charge,current,mass,power,velocity
m·v·P·q·i
em,mechanics
m·v²·P⁻¹·q⁻¹·i
m = k₀ · v⁻²·P·q·i⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "charge": "-1", "current": "1"}
5
charge,mass,power,resistance,velocity
m·v·P·q·R
em,mechanics
m²·v⁴·P⁻¹·q⁻²·R⁻¹
P = k₀ · m²·v⁴·q⁻²·R⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "power": "-1", "charge": "-2", "resistance": "-1"}
5
charge,inductance,mass,power,velocity
m·v·P·q·L_e
em,mechanics
m³·v⁶·P⁻²·q⁻²·L_e⁻¹
L_e = k₀ · m³·v⁶·P⁻²·q⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "velocity": "6", "power": "-2", "charge": "-2", "inductance": "-1"}
5
charge,mag_flux,mass,power,velocity
m·v·P·q·Φ
em,mechanics
m²·v⁴·P⁻¹·q⁻¹·Φ⁻¹
P = k₀ · m²·v⁴·q⁻¹·Φ⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "velocity": "4", "power": "-1", "charge": "-1", "mag_flux": "-1"}
5
charge,mass,permittivity,power,velocity
m·v·P·q·ε
em,mechanics
m²·v⁵·P⁻¹·q⁻²·ε
P = k₀ · m²·v⁵·q⁻²·ε
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-1", "charge": "-2", "permittivity": "1"}
5
charge,mass,permeability,power,velocity
m·v·P·q·μ₀
em,mechanics
m²·v³·P⁻¹·q⁻²·μ₀⁻¹
P = k₀ · m²·v³·q⁻²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "power": "-1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,mass,power,velocity
m·v·P·q·σ
em,mechanics
m³·v⁷·P⁻²·q⁻²·σ
σ = k₀ · m⁻³·v⁻⁷·P²·q²
null
0
2
7
15
13.6
-4.1
false
{"mass": "3", "velocity": "7", "power": "-2", "charge": "-2", "conductivity": "1"}
5
charge,mass,power,resistivity,velocity
m·v·P·q·ρ_e
em,mechanics
m³·v⁷·P⁻²·q⁻²·ρ_e⁻¹
ρ_e = k₀ · m³·v⁷·P⁻²·q⁻²
null
0
2
7
15
13.6
-4.1
false
{"mass": "3", "velocity": "7", "power": "-2", "charge": "-2", "resistivity": "-1"}
5
capacitance,current,mass,power,velocity
m·v·P·i·C_e
em,mechanics
m·v²·P⁻²·i²·C_e⁻¹
m = k₀ · v⁻²·P²·i⁻²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "power": "-2", "current": "2", "capacitance": "-1"}
5
current,efield,mass,power,velocity
m·v·P·i·E_f
em,mechanics
m·v³·P⁻²·i·E_f
m = k₀ · v⁻³·P²·i⁻¹·E_f⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "power": "-2", "current": "1", "efield": "1"}
5
bfield,current,mass,power,velocity
m·v·P·i·B
em,mechanics
m·v⁴·P⁻²·i·B
m = k₀ · v⁻⁴·P²·i⁻¹·B⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "power": "-2", "current": "1", "bfield": "1"}
5
current,elem_charge,mass,power,velocity
m·v·P·i·e
constants,em,mechanics
m·v²·P⁻¹·i·e⁻¹
m = k₀ · v⁻²·P·i⁻¹·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "power": "-1", "current": "1", "elem_charge": "-1"}
5
inductance,mass,power,velocity,voltage
m·v·P·U·L_e
em,mechanics
m·v²·P⁻²·U²·L_e⁻¹
m = k₀ · v⁻²·P²·U⁻²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "power": "-2", "voltage": "2", "inductance": "-1"}
5
efield,mass,power,velocity,voltage
m·v·P·U·E_f
em,mechanics
m·v³·P⁻¹·U⁻¹·E_f
m = k₀ · v⁻³·P·U·E_f⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "power": "-1", "voltage": "-1", "efield": "1"}
5
bfield,mass,power,velocity,voltage
m·v·P·U·B
em,mechanics
m·v⁴·P⁻¹·U⁻¹·B
m = k₀ · v⁻⁴·P·U·B⁻¹
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "power": "-1", "voltage": "-1", "bfield": "1"}
5
mag_flux,mass,power,velocity,voltage
m·v·P·U·Φ
em,mechanics
m·v²·P⁻¹·U·Φ⁻¹
m = k₀ · v⁻²·P·U⁻¹·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "voltage": "1", "mag_flux": "-1"}
5
conductivity,mass,power,velocity,voltage
m·v·P·U·σ
em,mechanics
m·v³·P⁻²·U²·σ
m = k₀ · v⁻³·P²·U⁻²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "power": "-2", "voltage": "2", "conductivity": "1"}
5
mass,power,resistivity,velocity,voltage
m·v·P·U·ρ_e
em,mechanics
m·v³·P⁻²·U²·ρ_e⁻¹
m = k₀ · v⁻³·P²·U⁻²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "power": "-2", "voltage": "2", "resistivity": "-1"}
5
capacitance,mass,power,resistance,velocity
m·v·P·R·C_e
em,mechanics
m·v²·P⁻¹·R⁻¹·C_e⁻¹
m = k₀ · v⁻²·P·R·C_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "resistance": "-1", "capacitance": "-1"}
5
inductance,mass,power,resistance,velocity
m·v·P·R·L_e
em,mechanics
m·v²·P⁻¹·R·L_e⁻¹
m = k₀ · v⁻²·P·R⁻¹·L_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "resistance": "1", "inductance": "-1"}
5
efield,mass,power,resistance,velocity
m·v·P·R·E_f
em,mechanics
m²·v⁶·P⁻³·R⁻¹·E_f²
R = k₀ · m²·v⁶·P⁻³·E_f²
null
0
2
6
14
12.4
-2.9
false
{"mass": "2", "velocity": "6", "power": "-3", "resistance": "-1", "efield": "2"}
5
bfield,mass,power,resistance,velocity
m·v·P·R·B
em,mechanics
m²·v⁸·P⁻³·R⁻¹·B²
R = k₀ · m²·v⁸·P⁻³·B²
null
0
2
8
16
14.8
-5.3
false
{"mass": "2", "velocity": "8", "power": "-3", "resistance": "-1", "bfield": "2"}
5
mag_flux,mass,power,resistance,velocity
m·v·P·R·Φ
em,mechanics
m²·v⁴·P⁻¹·R·Φ⁻²
P = k₀ · m²·v⁴·R·Φ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "power": "-1", "resistance": "1", "mag_flux": "-2"}
5
conductivity,mass,power,resistance,velocity
m·v·P·R·σ
em,mechanics
m·v³·P⁻¹·R·σ
m = k₀ · v⁻³·P·R⁻¹·σ⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "power": "-1", "resistance": "1", "conductivity": "1"}
5
mass,power,resistance,resistivity,velocity
m·v·P·R·ρ_e
em,mechanics
m·v³·P⁻¹·R·ρ_e⁻¹
m = k₀ · v⁻³·P·R⁻¹·ρ_e
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "power": "-1", "resistance": "1", "resistivity": "-1"}
5
elem_charge,mass,power,resistance,velocity
m·v·P·R·e
constants,em,mechanics
m²·v⁴·P⁻¹·R⁻¹·e⁻²
P = k₀ · m²·v⁴·R⁻¹·e⁻²
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "4", "power": "-1", "resistance": "-1", "elem_charge": "-2"}
5
capacitance,inductance,mass,power,velocity
m·v·P·C_e·L_e
em,mechanics
m²·v⁴·P⁻²·C_e⁻¹·L_e⁻¹
C_e = k₀ · m²·v⁴·P⁻²·L_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "power": "-2", "capacitance": "-1", "inductance": "-1"}
5
capacitance,efield,mass,power,velocity
m·v·P·C_e·E_f
em,mechanics
m·v⁴·P⁻²·C_e·E_f²
m = k₀ · v⁻⁴·P²·C_e⁻¹·E_f⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "power": "-2", "capacitance": "1", "efield": "2"}
5
bfield,capacitance,mass,power,velocity
m·v·P·C_e·B
em,mechanics
m·v⁶·P⁻²·C_e·B²
m = k₀ · v⁻⁶·P²·C_e⁻¹·B⁻²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "velocity": "6", "power": "-2", "capacitance": "1", "bfield": "2"}
5
capacitance,mag_flux,mass,power,velocity
m·v·P·C_e·Φ
em,mechanics
m³·v⁶·P⁻²·C_e⁻¹·Φ⁻²
C_e = k₀ · m³·v⁶·P⁻²·Φ⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "velocity": "6", "power": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,mass,permittivity,power,velocity
m·v·P·C_e·ε
em,mechanics
m·v³·P⁻¹·C_e⁻¹·ε
m = k₀ · v⁻³·P·C_e·ε⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "power": "-1", "capacitance": "-1", "permittivity": "1"}
5
capacitance,mass,permeability,power,velocity
m·v·P·C_e·μ₀
em,mechanics
m·v·P⁻¹·C_e⁻¹·μ₀⁻¹
m = k₀ · v⁻¹·P·C_e·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "power": "-1", "capacitance": "-1", "permeability": "-1"}
5
capacitance,conductivity,mass,power,velocity
m·v·P·C_e·σ
em,mechanics
m²·v⁵·P⁻²·C_e⁻¹·σ
C_e = k₀ · m²·v⁵·P⁻²·σ
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-2", "capacitance": "-1", "conductivity": "1"}
5
capacitance,mass,power,resistivity,velocity
m·v·P·C_e·ρ_e
em,mechanics
m²·v⁵·P⁻²·C_e⁻¹·ρ_e⁻¹
C_e = k₀ · m²·v⁵·P⁻²·ρ_e⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-2", "capacitance": "-1", "resistivity": "-1"}
5
efield,inductance,mass,power,velocity
m·v·P·L_e·E_f
em,mechanics
m³·v⁸·P⁻⁴·L_e⁻¹·E_f²
L_e = k₀ · m³·v⁸·P⁻⁴·E_f²
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "velocity": "8", "power": "-4", "inductance": "-1", "efield": "2"}
5
bfield,inductance,mass,power,velocity
m·v·P·L_e·B
em,mechanics
m³·v¹⁰·P⁻⁴·L_e⁻¹·B²
L_e = k₀ · m³·v¹⁰·P⁻⁴·B²
null
0
2
10
20
18.6
-9.1
false
{"mass": "3", "velocity": "10", "power": "-4", "inductance": "-1", "bfield": "2"}
5
inductance,mass,permittivity,power,velocity
m·v·P·L_e·ε
em,mechanics
m·v·P⁻¹·L_e⁻¹·ε⁻¹
m = k₀ · v⁻¹·P·L_e·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "power": "-1", "inductance": "-1", "permittivity": "-1"}
5
inductance,mass,permeability,power,velocity
m·v·P·L_e·μ₀
em,mechanics
m·v³·P⁻¹·L_e⁻¹·μ₀
m = k₀ · v⁻³·P·L_e·μ₀⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "power": "-1", "inductance": "-1", "permeability": "1"}
5
elem_charge,inductance,mass,power,velocity
m·v·P·L_e·e
constants,em,mechanics
m³·v⁶·P⁻²·L_e⁻¹·e⁻²
L_e = k₀ · m³·v⁶·P⁻²·e⁻²
null
1
3
6
14
13
-4
false
{"mass": "3", "velocity": "6", "power": "-2", "inductance": "-1", "elem_charge": "-2"}
5
efield,mag_flux,mass,power,velocity
m·v·P·E_f·Φ
em,mechanics
m²·v⁵·P⁻²·E_f·Φ⁻¹
E_f = k₀ · m⁻²·v⁻⁵·P²·Φ
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-2", "efield": "1", "mag_flux": "-1"}
5
efield,mass,permittivity,power,velocity
m·v·P·E_f·ε
em,mechanics
m²·v⁷·P⁻³·E_f²·ε
ε = k₀ · m⁻²·v⁻⁷·P³·E_f⁻²
null
0
2
7
15
13.6
-4.1
false
{"mass": "2", "velocity": "7", "power": "-3", "efield": "2", "permittivity": "1"}
5
efield,mass,permeability,power,velocity
m·v·P·E_f·μ₀
em,mechanics
m²·v⁵·P⁻³·E_f²·μ₀⁻¹
μ₀ = k₀ · m²·v⁵·P⁻³·E_f²
null
0
2
5
13
11.2
-1.7
false
{"mass": "2", "velocity": "5", "power": "-3", "efield": "2", "permeability": "-1"}
5
conductivity,efield,mass,power,velocity
m·v·P·E_f·σ
em,mechanics
m³·v⁹·P⁻⁴·E_f²·σ
σ = k₀ · m⁻³·v⁻⁹·P⁴·E_f⁻²
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "velocity": "9", "power": "-4", "efield": "2", "conductivity": "1"}
5
efield,mass,power,resistivity,velocity
m·v·P·E_f·ρ_e
em,mechanics
m³·v⁹·P⁻⁴·E_f²·ρ_e⁻¹
ρ_e = k₀ · m³·v⁹·P⁻⁴·E_f²
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "velocity": "9", "power": "-4", "efield": "2", "resistivity": "-1"}
5
bfield,mag_flux,mass,power,velocity
m·v·P·B·Φ
em,mechanics
m²·v⁶·P⁻²·B·Φ⁻¹
B = k₀ · m⁻²·v⁻⁶·P²·Φ
null
0
2
6
12
11
-1.5
false
{"mass": "2", "velocity": "6", "power": "-2", "bfield": "1", "mag_flux": "-1"}
5
bfield,mass,permittivity,power,velocity
m·v·P·B·ε
em,mechanics
m²·v⁹·P⁻³·B²·ε
ε = k₀ · m⁻²·v⁻⁹·P³·B⁻²
null
0
2
9
17
16
-6.5
false
{"mass": "2", "velocity": "9", "power": "-3", "bfield": "2", "permittivity": "1"}
5
bfield,mass,permeability,power,velocity
m·v·P·B·μ₀
em,mechanics
m²·v⁷·P⁻³·B²·μ₀⁻¹
μ₀ = k₀ · m²·v⁷·P⁻³·B²
null
0
2
7
15
13.6
-4.1
false
{"mass": "2", "velocity": "7", "power": "-3", "bfield": "2", "permeability": "-1"}
5
bfield,conductivity,mass,power,velocity
m·v·P·B·σ
em,mechanics
m³·v¹¹·P⁻⁴·B²·σ
σ = k₀ · m⁻³·v⁻¹¹·P⁴·B⁻²
null
0
2
11
21
19.8
-10.3
false
{"mass": "3", "velocity": "11", "power": "-4", "bfield": "2", "conductivity": "1"}
5
bfield,mass,power,resistivity,velocity
m·v·P·B·ρ_e
em,mechanics
m³·v¹¹·P⁻⁴·B²·ρ_e⁻¹
ρ_e = k₀ · m³·v¹¹·P⁻⁴·B²
null
0
2
11
21
19.8
-10.3
false
{"mass": "3", "velocity": "11", "power": "-4", "bfield": "2", "resistivity": "-1"}
5
mag_flux,mass,permittivity,power,velocity
m·v·P·Φ·ε
em,mechanics
m²·v³·P⁻¹·Φ⁻²·ε⁻¹
P = k₀ · m²·v³·Φ⁻²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "power": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
mag_flux,mass,permeability,power,velocity
m·v·P·Φ·μ₀
em,mechanics
m²·v⁵·P⁻¹·Φ⁻²·μ₀
P = k₀ · m²·v⁵·Φ⁻²·μ₀
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "power": "-1", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,mag_flux,mass,power,velocity
m·v·P·Φ·e
constants,em,mechanics
m²·v⁴·P⁻¹·Φ⁻¹·e⁻¹
P = k₀ · m²·v⁴·Φ⁻¹·e⁻¹
null
1
3
4
9
8.5
0.5
false
{"mass": "2", "velocity": "4", "power": "-1", "mag_flux": "-1", "elem_charge": "-1"}
5
conductivity,mass,permittivity,power,velocity
m·v·P·ε·σ
em,mechanics
m·v²·P⁻¹·ε⁻¹·σ
m = k₀ · v⁻²·P·ε·σ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "permittivity": "-1", "conductivity": "1"}
5
mass,permittivity,power,resistivity,velocity
m·v·P·ε·ρ_e
em,mechanics
m·v²·P⁻¹·ε⁻¹·ρ_e⁻¹
m = k₀ · v⁻²·P·ε·ρ_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "permittivity": "-1", "resistivity": "-1"}
5
elem_charge,mass,permittivity,power,velocity
m·v·P·ε·e
constants,em,mechanics
m²·v⁵·P⁻¹·ε·e⁻²
P = k₀ · m²·v⁵·ε·e⁻²
null
1
3
5
11
10.4
-1.4
false
{"mass": "2", "velocity": "5", "power": "-1", "permittivity": "1", "elem_charge": "-2"}
5
conductivity,mass,permeability,power,velocity
m·v·P·μ₀·σ
em,mechanics
m·v⁴·P⁻¹·μ₀·σ
m = k₀ · v⁻⁴·P·μ₀⁻¹·σ⁻¹
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "power": "-1", "permeability": "1", "conductivity": "1"}
5
mass,permeability,power,resistivity,velocity
m·v·P·μ₀·ρ_e
em,mechanics
m·v⁴·P⁻¹·μ₀·ρ_e⁻¹
m = k₀ · v⁻⁴·P·μ₀⁻¹·ρ_e
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "velocity": "4", "power": "-1", "permeability": "1", "resistivity": "-1"}
5
elem_charge,mass,permeability,power,velocity
m·v·P·μ₀·e
constants,em,mechanics
m²·v³·P⁻¹·μ₀⁻¹·e⁻²
P = k₀ · m²·v³·μ₀⁻¹·e⁻²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "power": "-1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,mass,power,velocity
m·v·P·σ·e
constants,em,mechanics
m³·v⁷·P⁻²·σ·e⁻²
σ = k₀ · m⁻³·v⁻⁷·P²·e²
null
1
3
7
15
14.2
-5.2
false
{"mass": "3", "velocity": "7", "power": "-2", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,power,resistivity,velocity
m·v·P·ρ_e·e
constants,em,mechanics
m³·v⁷·P⁻²·ρ_e⁻¹·e⁻²
ρ_e = k₀ · m³·v⁷·P⁻²·e⁻²
null
1
3
7
15
14.2
-5.2
false
{"mass": "3", "velocity": "7", "power": "-2", "resistivity": "-1", "elem_charge": "-2"}
5
amount,concentration,mass,power,velocity
m·v·P·n·c_n
chemistry,mechanics
m³·v⁹·P⁻³·n⁻¹·c_n
n = k₀ · m³·v⁹·P⁻³·c_n
null
0
2
9
17
16
-6.5
false
{"mass": "3", "velocity": "9", "power": "-3", "amount": "-1", "concentration": "1"}
5
amount,cat_activity,mass,power,velocity
m·v·P·n·z
chemistry,mechanics
m·v²·P⁻¹·n⁻¹·z
m = k₀ · v⁻²·P·n·z⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "power": "-1", "amount": "-1", "cat_activity": "1"}
5
concentration,mass,molar_mass,power,velocity
m·v·P·M_m·c_n
chemistry,mechanics
m²·v⁹·P⁻³·M_m·c_n
M_m = k₀ · m⁻²·v⁻⁹·P³·c_n⁻¹
null
0
2
9
16
15.3
-5.8
false
{"mass": "2", "velocity": "9", "power": "-3", "molar_mass": "1", "concentration": "1"}
5
concentration,mass,molar_energy,power,velocity
m·v·P·c_n·E_m
chemistry,mechanics
m²·v⁷·P⁻³·c_n·E_m
c_n = k₀ · m⁻²·v⁻⁷·P³·E_m⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "2", "velocity": "7", "power": "-3", "concentration": "1", "molar_energy": "1"}
6
boltzmann,concentration,gas_constant,mass,power,velocity
m·v·P·c_n·R·k_B
chemistry,constants,mechanics
m³·v⁹·P⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻⁹·P³·R⁻¹·k_B
null
1
3
9
18
17.6
-8.6
false
{"mass": "3", "velocity": "9", "power": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
5
cat_activity,concentration,mass,power,velocity
m·v·P·c_n·z
chemistry,mechanics
m²·v⁷·P⁻²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻⁷·P²·z
null
0
2
7
13
12.2
-2.7
false
{"mass": "2", "velocity": "7", "power": "-2", "concentration": "1", "cat_activity": "-1"}
5
avogadro,concentration,mass,power,velocity
m·v·P·c_n·N_A
chemistry,constants,mechanics
m³·v⁹·P⁻³·c_n·N_A
c_n = k₀ · m⁻³·v⁻⁹·P³·N_A⁻¹
null
1
3
9
17
16.6
-7.6
false
{"mass": "3", "velocity": "9", "power": "-3", "concentration": "1", "avogadro": "1"}
6
boltzmann,cat_activity,gas_constant,mass,power,velocity
m·v·P·R·z·k_B
chemistry,constants,mechanics
m·v²·P⁻¹·R·z·k_B⁻¹
m = k₀ · v⁻²·P·R⁻¹·z⁻¹·k_B
null
1
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "power": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
5
avogadro,cat_activity,mass,power,velocity
m·v·P·z·N_A
chemistry,constants,mechanics
m·v²·P⁻¹·z·N_A
m = k₀ · v⁻²·P·z⁻¹·N_A⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "power": "-1", "cat_activity": "1", "avogadro": "1"}
5
illuminance,lum_intensity,mass,power,velocity
m·v·P·I_v·E_v
mechanics,photometry
m²·v⁶·P⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁶·P⁻²·E_v
null
0
2
6
12
11
-1.5
false
{"mass": "2", "velocity": "6", "power": "-2", "lum_intensity": "-1", "illuminance": "1"}
5
lum_intensity,luminance,mass,power,velocity
m·v·P·I_v·L_v
mechanics,photometry
m²·v⁶·P⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁶·P⁻²·L_v
null
0
2
6
12
11
-1.5
false
{"mass": "2", "velocity": "6", "power": "-2", "lum_intensity": "-1", "luminance": "1"}
4
mass,planck,power,velocity
m·v·P·h
constants,mechanics
m²·v⁴·P⁻¹·h⁻¹
P = k₀ · m²·v⁴·h⁻¹
null
1
2
4
8
6.9
2.6
false
{"mass": "2", "velocity": "4", "power": "-1", "planck": "-1"}
3
mass,momentum,velocity
m·v·p
mechanics
m·v·p⁻¹
m = k₀ · v⁻¹·p
null
0
1
1
3
1
9
true
{"mass": "1", "velocity": "1", "momentum": "-1"}
4
ang_momentum,inertia,mass,velocity
m·v·Lₐ·J
mechanics
m·v²·Lₐ⁻²·J
m = k₀ · v⁻²·Lₐ²·J⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "2", "ang_momentum": "-2", "inertia": "1"}
4
ang_momentum,mass,pressure,velocity
m·v·Lₐ·P_p
mechanics
m⁴·v⁵·Lₐ⁻³·P_p⁻¹
P_p = k₀ · m⁴·v⁵·Lₐ⁻³
null
0
1
5
13
10.3
-0.3
false
{"mass": "4", "velocity": "5", "ang_momentum": "-3", "pressure": "-1"}
4
ang_momentum,density,mass,velocity
m·v·Lₐ·ρ
mechanics
m⁴·v³·Lₐ⁻³·ρ⁻¹
ρ = k₀ · m⁴·v³·Lₐ⁻³
null
0
1
4
11
8.4
1.6
false
{"mass": "4", "velocity": "3", "ang_momentum": "-3", "density": "-1"}
4
ang_momentum,mass,velocity,viscosity
m·v·Lₐ·μ
mechanics
m³·v³·Lₐ⁻²·μ⁻¹
μ = k₀ · m³·v³·Lₐ⁻²
null
0
1
3
9
6.5
3.5
false
{"mass": "3", "velocity": "3", "ang_momentum": "-2", "viscosity": "-1"}