Datasets:
RANDMEDIATION
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PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
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2
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10
106
symbols
stringlengths
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62 values
pi
stringlengths
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46
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stringlengths
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19 values
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int64
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4
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int64
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int64
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34
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int64
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134
complexity
float64
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113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
4
ang_momentum,mass,omega,velocity
m·v·Lₐ·ω
mechanics
m·v²·Lₐ⁻¹·ω⁻¹
m = k₀ · v⁻²·Lₐ·ω
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "omega": "-1"}
4
ang_momentum,frequency,mass,velocity
m·v·Lₐ·f
mechanics
m·v²·Lₐ⁻¹·f⁻¹
m = k₀ · v⁻²·Lₐ·f
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "frequency": "-1"}
4
ang_momentum,mass,stiffness,velocity
m·v·Lₐ·k
mechanics
m³·v⁴·Lₐ⁻²·k⁻¹
k = k₀ · m³·v⁴·Lₐ⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "velocity": "4", "ang_momentum": "-2", "stiffness": "-1"}
4
ang_momentum,mass,surf_tension,velocity
m·v·Lₐ·γ
mechanics
m³·v⁴·Lₐ⁻²·γ⁻¹
γ = k₀ · m³·v⁴·Lₐ⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "velocity": "4", "ang_momentum": "-2", "surf_tension": "-1"}
4
ang_momentum,area,mass,velocity
m·v·Lₐ·A
mechanics
m²·v²·Lₐ⁻²·A
A = k₀ · m⁻²·v⁻²·Lₐ²
null
0
1
2
7
4.6
5.4
true
{"mass": "2", "velocity": "2", "ang_momentum": "-2", "area": "1"}
4
ang_momentum,mass,velocity,volume
m·v·Lₐ·V
mechanics
m³·v³·Lₐ⁻³·V
V = k₀ · m⁻³·v⁻³·Lₐ³
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "velocity": "3", "ang_momentum": "-3", "volume": "1"}
4
ang_momentum,flowrate,mass,velocity
m·v·Lₐ·Q
mechanics
m²·v·Lₐ⁻²·Q
v = k₀ · m⁻²·Lₐ²·Q⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "velocity": "1", "ang_momentum": "-2", "flowrate": "1"}
5
ang_momentum,mass,temperature,thermal_cond,velocity
m·v·Lₐ·Θ·κ
mechanics,thermo
m³·v⁵·Lₐ⁻²·Θ⁻¹·κ⁻¹
Θ = k₀ · m³·v⁵·Lₐ⁻²·κ⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "3", "velocity": "5", "ang_momentum": "-2", "temperature": "-1", "thermal_cond": "-1"}
6
ang_momentum,concentration,gas_constant,mass,temperature,velocity
m·v·Lₐ·Θ·c_n·R
chemistry,mechanics,thermo
m⁴·v⁵·Lₐ⁻³·Θ⁻¹·c_n⁻¹·R⁻¹
Θ = k₀ · m⁴·v⁵·Lₐ⁻³·c_n⁻¹·R⁻¹
null
0
3
5
15
13.5
-4.5
false
{"mass": "4", "velocity": "5", "ang_momentum": "-3", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
ang_momentum,cat_activity,gas_constant,mass,temperature,velocity
m·v·Lₐ·Θ·R·z
chemistry,mechanics,thermo
m²·v⁴·Lₐ⁻¹·Θ⁻¹·R⁻¹·z⁻¹
Lₐ = k₀ · m²·v⁴·Θ⁻¹·R⁻¹·z⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "velocity": "4", "ang_momentum": "-1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
5
ang_momentum,entropy,mass,thermal_cond,velocity
m·v·Lₐ·S_e·κ
mechanics,thermo
m²·v³·Lₐ⁻²·S_e·κ⁻¹
S_e = k₀ · m⁻²·v⁻³·Lₐ²·κ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "entropy": "1", "thermal_cond": "-1"}
6
ang_momentum,concentration,entropy,gas_constant,mass,velocity
m·v·Lₐ·S_e·c_n·R
chemistry,mechanics,thermo
m³·v³·Lₐ⁻³·S_e·c_n⁻¹·R⁻¹
S_e = k₀ · m⁻³·v⁻³·Lₐ³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "velocity": "3", "ang_momentum": "-3", "entropy": "1", "concentration": "-1", "gas_constant": "-1"}
6
ang_momentum,cat_activity,entropy,gas_constant,mass,velocity
m·v·Lₐ·S_e·R·z
chemistry,mechanics,thermo
m·v²·Lₐ⁻¹·S_e·R⁻¹·z⁻¹
m = k₀ · v⁻²·Lₐ·S_e⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "entropy": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
ang_momentum,heat_capacity,mass,thermal_cond,velocity
m·v·Lₐ·C·κ
mechanics,thermo
m²·v³·Lₐ⁻²·C·κ⁻¹
C = k₀ · m⁻²·v⁻³·Lₐ²·κ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "heat_capacity": "1", "thermal_cond": "-1"}
6
ang_momentum,concentration,gas_constant,heat_capacity,mass,velocity
m·v·Lₐ·C·c_n·R
chemistry,mechanics,thermo
m³·v³·Lₐ⁻³·C·c_n⁻¹·R⁻¹
C = k₀ · m⁻³·v⁻³·Lₐ³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "velocity": "3", "ang_momentum": "-3", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"}
6
ang_momentum,cat_activity,gas_constant,heat_capacity,mass,velocity
m·v·Lₐ·C·R·z
chemistry,mechanics,thermo
m·v²·Lₐ⁻¹·C·R⁻¹·z⁻¹
m = k₀ · v⁻²·Lₐ·C⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "heat_capacity": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
ang_momentum,mass,specific_heat,thermal_cond,velocity
m·v·Lₐ·c·κ
mechanics,thermo
m³·v³·Lₐ⁻²·c·κ⁻¹
c = k₀ · m⁻³·v⁻³·Lₐ²·κ
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "velocity": "3", "ang_momentum": "-2", "specific_heat": "1", "thermal_cond": "-1"}
6
ang_momentum,concentration,gas_constant,mass,specific_heat,velocity
m·v·Lₐ·c·c_n·R
chemistry,mechanics,thermo
m⁴·v³·Lₐ⁻³·c·c_n⁻¹·R⁻¹
c = k₀ · m⁻⁴·v⁻³·Lₐ³·c_n·R
null
0
3
4
13
11.6
-2.6
false
{"mass": "4", "velocity": "3", "ang_momentum": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
ang_momentum,cat_activity,gas_constant,mass,specific_heat,velocity
m·v·Lₐ·c·R·z
chemistry,mechanics,thermo
m²·v²·Lₐ⁻¹·c·R⁻¹·z⁻¹
Lₐ = k₀ · m²·v²·c·R⁻¹·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "velocity": "2", "ang_momentum": "-1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
ang_momentum,expansion,mass,thermal_cond,velocity
m·v·Lₐ·κ·β
mechanics,thermo
m³·v⁵·Lₐ⁻²·κ⁻¹·β
κ = k₀ · m³·v⁵·Lₐ⁻²·β
null
0
2
5
12
10.5
-1
false
{"mass": "3", "velocity": "5", "ang_momentum": "-2", "thermal_cond": "-1", "expansion": "1"}
6
amount,ang_momentum,gas_constant,mass,thermal_cond,velocity
m·v·Lₐ·κ·n·R
chemistry,mechanics,thermo
m²·v³·Lₐ⁻²·κ⁻¹·n·R
κ = k₀ · m²·v³·Lₐ⁻²·n·R
null
0
3
3
10
9
0
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "thermal_cond": "-1", "amount": "1", "gas_constant": "1"}
6
ang_momentum,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·Lₐ·κ·M_m·R
chemistry,mechanics,thermo
m³·v³·Lₐ⁻²·κ⁻¹·M_m⁻¹·R
κ = k₀ · m³·v³·Lₐ⁻²·M_m⁻¹·R
null
0
3
3
11
9.7
-0.7
false
{"mass": "3", "velocity": "3", "ang_momentum": "-2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
ang_momentum,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·Lₐ·κ·E_m·R
chemistry,mechanics,thermo
m³·v⁵·Lₐ⁻²·κ⁻¹·E_m⁻¹·R
κ = k₀ · m³·v⁵·Lₐ⁻²·E_m⁻¹·R
null
0
3
5
13
12.1
-3.1
false
{"mass": "3", "velocity": "5", "ang_momentum": "-2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
ang_momentum,cat_activity,gas_constant,mass,thermal_cond,velocity
m·v·Lₐ·κ·R·z
chemistry,mechanics,thermo
m·v·Lₐ⁻¹·κ⁻¹·R·z
m = k₀ · v⁻¹·Lₐ·κ·R⁻¹·z⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "ang_momentum": "-1", "thermal_cond": "-1", "gas_constant": "1", "cat_activity": "1"}
6
ang_momentum,avogadro,gas_constant,mass,thermal_cond,velocity
m·v·Lₐ·κ·R·N_A
chemistry,constants,mechanics,thermo
m²·v³·Lₐ⁻²·κ⁻¹·R·N_A⁻¹
κ = k₀ · m²·v³·Lₐ⁻²·R·N_A⁻¹
null
1
4
3
10
9.6
-1.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "thermal_cond": "-1", "gas_constant": "1", "avogadro": "-1"}
5
ang_momentum,boltzmann,mass,thermal_cond,velocity
m·v·Lₐ·κ·k_B
constants,mechanics,thermo
m²·v³·Lₐ⁻²·κ⁻¹·k_B
κ = k₀ · m²·v³·Lₐ⁻²·k_B
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "thermal_cond": "-1", "boltzmann": "1"}
6
ang_momentum,concentration,expansion,gas_constant,mass,velocity
m·v·Lₐ·β·c_n·R
chemistry,mechanics,thermo
m⁴·v⁵·Lₐ⁻³·β·c_n⁻¹·R⁻¹
β = k₀ · m⁻⁴·v⁻⁵·Lₐ³·c_n·R
null
0
3
5
15
13.5
-4.5
false
{"mass": "4", "velocity": "5", "ang_momentum": "-3", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
ang_momentum,cat_activity,expansion,gas_constant,mass,velocity
m·v·Lₐ·β·R·z
chemistry,mechanics,thermo
m²·v⁴·Lₐ⁻¹·β·R⁻¹·z⁻¹
Lₐ = k₀ · m²·v⁴·β·R⁻¹·z⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "velocity": "4", "ang_momentum": "-1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
ang_momentum,charge,current,mass,velocity
m·v·Lₐ·q·i
em,mechanics
m·v²·Lₐ⁻¹·q·i⁻¹
m = k₀ · v⁻²·Lₐ·q⁻¹·i
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "charge": "1", "current": "-1"}
5
ang_momentum,charge,inductance,mass,velocity
m·v·Lₐ·q·L_e
em,mechanics
m·v²·Lₐ⁻²·q²·L_e
m = k₀ · v⁻²·Lₐ²·q⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "ang_momentum": "-2", "charge": "2", "inductance": "1"}
5
ang_momentum,charge,efield,mass,velocity
m·v·Lₐ·q·E_f
em,mechanics
m²·v³·Lₐ⁻¹·q⁻¹·E_f⁻¹
Lₐ = k₀ · m²·v³·q⁻¹·E_f⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "velocity": "3", "ang_momentum": "-1", "charge": "-1", "efield": "-1"}
5
ang_momentum,bfield,charge,mass,velocity
m·v·Lₐ·q·B
em,mechanics
m²·v²·Lₐ⁻¹·q⁻¹·B⁻¹
Lₐ = k₀ · m²·v²·q⁻¹·B⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "velocity": "2", "ang_momentum": "-1", "charge": "-1", "bfield": "-1"}
5
ang_momentum,charge,conductivity,mass,velocity
m·v·Lₐ·q·σ
em,mechanics
m·v·Lₐ⁻²·q²·σ⁻¹
m = k₀ · v⁻¹·Lₐ²·q⁻²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "ang_momentum": "-2", "charge": "2", "conductivity": "-1"}
5
ang_momentum,charge,mass,resistivity,velocity
m·v·Lₐ·q·ρ_e
em,mechanics
m·v·Lₐ⁻²·q²·ρ_e
m = k₀ · v⁻¹·Lₐ²·q⁻²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "ang_momentum": "-2", "charge": "2", "resistivity": "1"}
5
ang_momentum,current,mass,velocity,voltage
m·v·Lₐ·i·U
em,mechanics
m²·v⁴·Lₐ⁻¹·i⁻¹·U⁻¹
Lₐ = k₀ · m²·v⁴·i⁻¹·U⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "velocity": "4", "ang_momentum": "-1", "current": "-1", "voltage": "-1"}
5
ang_momentum,current,mass,resistance,velocity
m·v·Lₐ·i·R
em,mechanics
m²·v⁴·Lₐ⁻¹·i⁻²·R⁻¹
Lₐ = k₀ · m²·v⁴·i⁻²·R⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "ang_momentum": "-1", "current": "-2", "resistance": "-1"}
5
ang_momentum,capacitance,current,mass,velocity
m·v·Lₐ·i·C_e
em,mechanics
m³·v⁶·Lₐ⁻²·i⁻²·C_e
C_e = k₀ · m⁻³·v⁻⁶·Lₐ²·i²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "velocity": "6", "ang_momentum": "-2", "current": "-2", "capacitance": "1"}
5
ang_momentum,current,efield,mass,velocity
m·v·Lₐ·i·E_f
em,mechanics
m³·v⁵·Lₐ⁻²·i⁻¹·E_f⁻¹
i = k₀ · m³·v⁵·Lₐ⁻²·E_f⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "3", "velocity": "5", "ang_momentum": "-2", "current": "-1", "efield": "-1"}
5
ang_momentum,bfield,current,mass,velocity
m·v·Lₐ·i·B
em,mechanics
m³·v⁴·Lₐ⁻²·i⁻¹·B⁻¹
i = k₀ · m³·v⁴·Lₐ⁻²·B⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "velocity": "4", "ang_momentum": "-2", "current": "-1", "bfield": "-1"}
5
ang_momentum,current,mass,permittivity,velocity
m·v·Lₐ·i·ε
em,mechanics
m²·v⁵·Lₐ⁻¹·i⁻²·ε
Lₐ = k₀ · m²·v⁵·i⁻²·ε
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "ang_momentum": "-1", "current": "-2", "permittivity": "1"}
5
ang_momentum,current,mass,permeability,velocity
m·v·Lₐ·i·μ₀
em,mechanics
m²·v³·Lₐ⁻¹·i⁻²·μ₀⁻¹
Lₐ = k₀ · m²·v³·i⁻²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-1", "current": "-2", "permeability": "-1"}
5
ang_momentum,current,elem_charge,mass,velocity
m·v·Lₐ·i·e
constants,em,mechanics
m·v²·Lₐ⁻¹·i⁻¹·e
m = k₀ · v⁻²·Lₐ·i·e⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "current": "-1", "elem_charge": "1"}
5
ang_momentum,mass,resistance,velocity,voltage
m·v·Lₐ·U·R
em,mechanics
m²·v⁴·Lₐ⁻¹·U⁻²·R
Lₐ = k₀ · m²·v⁴·U⁻²·R
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "ang_momentum": "-1", "voltage": "-2", "resistance": "1"}
5
ang_momentum,inductance,mass,velocity,voltage
m·v·Lₐ·U·L_e
em,mechanics
m³·v⁶·Lₐ⁻²·U⁻²·L_e
L_e = k₀ · m⁻³·v⁻⁶·Lₐ²·U²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "velocity": "6", "ang_momentum": "-2", "voltage": "-2", "inductance": "1"}
5
ang_momentum,efield,mass,velocity,voltage
m·v·Lₐ·U·E_f
em,mechanics
m·v·Lₐ⁻¹·U·E_f⁻¹
m = k₀ · v⁻¹·Lₐ·U⁻¹·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "ang_momentum": "-1", "voltage": "1", "efield": "-1"}
5
ang_momentum,mag_flux,mass,velocity,voltage
m·v·Lₐ·U·Φ
em,mechanics
m·v²·Lₐ⁻¹·U⁻¹·Φ
m = k₀ · v⁻²·Lₐ·U·Φ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "voltage": "-1", "mag_flux": "1"}
5
ang_momentum,mass,permittivity,velocity,voltage
m·v·Lₐ·U·ε
em,mechanics
m²·v³·Lₐ⁻¹·U⁻²·ε⁻¹
Lₐ = k₀ · m²·v³·U⁻²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-1", "voltage": "-2", "permittivity": "-1"}
5
ang_momentum,mass,permeability,velocity,voltage
m·v·Lₐ·U·μ₀
em,mechanics
m²·v⁵·Lₐ⁻¹·U⁻²·μ₀
Lₐ = k₀ · m²·v⁵·U⁻²·μ₀
null
0
2
5
11
9.8
-0.3
false
{"mass": "2", "velocity": "5", "ang_momentum": "-1", "voltage": "-2", "permeability": "1"}
5
ang_momentum,conductivity,mass,velocity,voltage
m·v·Lₐ·U·σ
em,mechanics
m³·v⁵·Lₐ⁻²·U⁻²·σ⁻¹
σ = k₀ · m³·v⁵·Lₐ⁻²·U⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "velocity": "5", "ang_momentum": "-2", "voltage": "-2", "conductivity": "-1"}
5
ang_momentum,mass,resistivity,velocity,voltage
m·v·Lₐ·U·ρ_e
em,mechanics
m³·v⁵·Lₐ⁻²·U⁻²·ρ_e
ρ_e = k₀ · m⁻³·v⁻⁵·Lₐ²·U²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "velocity": "5", "ang_momentum": "-2", "voltage": "-2", "resistivity": "1"}
5
ang_momentum,capacitance,mass,resistance,velocity
m·v·Lₐ·R·C_e
em,mechanics
m·v²·Lₐ⁻¹·R·C_e
m = k₀ · v⁻²·Lₐ·R⁻¹·C_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "resistance": "1", "capacitance": "1"}
5
ang_momentum,inductance,mass,resistance,velocity
m·v·Lₐ·R·L_e
em,mechanics
m·v²·Lₐ⁻¹·R⁻¹·L_e
m = k₀ · v⁻²·Lₐ·R·L_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "resistance": "-1", "inductance": "1"}
5
ang_momentum,efield,mass,resistance,velocity
m·v·Lₐ·R·E_f
em,mechanics
m⁴·v⁶·Lₐ⁻³·R·E_f⁻²
R = k₀ · m⁻⁴·v⁻⁶·Lₐ³·E_f²
null
0
2
6
16
13.8
-4.3
false
{"mass": "4", "velocity": "6", "ang_momentum": "-3", "resistance": "1", "efield": "-2"}
5
ang_momentum,bfield,mass,resistance,velocity
m·v·Lₐ·R·B
em,mechanics
m⁴·v⁴·Lₐ⁻³·R·B⁻²
R = k₀ · m⁻⁴·v⁻⁴·Lₐ³·B²
null
0
2
4
14
11.4
-1.9
false
{"mass": "4", "velocity": "4", "ang_momentum": "-3", "resistance": "1", "bfield": "-2"}
5
ang_momentum,conductivity,mass,resistance,velocity
m·v·Lₐ·R·σ
em,mechanics
m·v·Lₐ⁻¹·R⁻¹·σ⁻¹
m = k₀ · v⁻¹·Lₐ·R·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "ang_momentum": "-1", "resistance": "-1", "conductivity": "-1"}
5
ang_momentum,mass,resistance,resistivity,velocity
m·v·Lₐ·R·ρ_e
em,mechanics
m·v·Lₐ⁻¹·R⁻¹·ρ_e
m = k₀ · v⁻¹·Lₐ·R·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "ang_momentum": "-1", "resistance": "-1", "resistivity": "1"}
5
ang_momentum,capacitance,inductance,mass,velocity
m·v·Lₐ·C_e·L_e
em,mechanics
m²·v⁴·Lₐ⁻²·C_e·L_e
C_e = k₀ · m⁻²·v⁻⁴·Lₐ²·L_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "ang_momentum": "-2", "capacitance": "1", "inductance": "1"}
5
ang_momentum,capacitance,efield,mass,velocity
m·v·Lₐ·C_e·E_f
em,mechanics
m³·v⁴·Lₐ⁻²·C_e⁻¹·E_f⁻²
C_e = k₀ · m³·v⁴·Lₐ⁻²·E_f⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "4", "ang_momentum": "-2", "capacitance": "-1", "efield": "-2"}
5
ang_momentum,bfield,capacitance,mass,velocity
m·v·Lₐ·C_e·B
em,mechanics
m³·v²·Lₐ⁻²·C_e⁻¹·B⁻²
C_e = k₀ · m³·v²·Lₐ⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "velocity": "2", "ang_momentum": "-2", "capacitance": "-1", "bfield": "-2"}
5
ang_momentum,capacitance,mag_flux,mass,velocity
m·v·Lₐ·C_e·Φ
em,mechanics
m·v²·Lₐ⁻²·C_e·Φ²
m = k₀ · v⁻²·Lₐ²·C_e⁻¹·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "ang_momentum": "-2", "capacitance": "1", "mag_flux": "2"}
5
ang_momentum,capacitance,mass,permittivity,velocity
m·v·Lₐ·C_e·ε
em,mechanics
m·v·Lₐ⁻¹·C_e·ε⁻¹
m = k₀ · v⁻¹·Lₐ·C_e⁻¹·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "ang_momentum": "-1", "capacitance": "1", "permittivity": "-1"}
5
ang_momentum,capacitance,mass,permeability,velocity
m·v·Lₐ·C_e·μ₀
em,mechanics
m·v³·Lₐ⁻¹·C_e·μ₀
m = k₀ · v⁻³·Lₐ·C_e⁻¹·μ₀⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "ang_momentum": "-1", "capacitance": "1", "permeability": "1"}
5
ang_momentum,capacitance,conductivity,mass,velocity
m·v·Lₐ·C_e·σ
em,mechanics
m²·v³·Lₐ⁻²·C_e·σ⁻¹
C_e = k₀ · m⁻²·v⁻³·Lₐ²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "capacitance": "1", "conductivity": "-1"}
5
ang_momentum,capacitance,mass,resistivity,velocity
m·v·Lₐ·C_e·ρ_e
em,mechanics
m²·v³·Lₐ⁻²·C_e·ρ_e
C_e = k₀ · m⁻²·v⁻³·Lₐ²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "capacitance": "1", "resistivity": "1"}
5
ang_momentum,efield,inductance,mass,velocity
m·v·Lₐ·L_e·E_f
em,mechanics
m⁵·v⁸·Lₐ⁻⁴·L_e·E_f⁻²
L_e = k₀ · m⁻⁵·v⁻⁸·Lₐ⁴·E_f²
null
0
2
8
20
17.6
-8.1
false
{"mass": "5", "velocity": "8", "ang_momentum": "-4", "inductance": "1", "efield": "-2"}
5
ang_momentum,bfield,inductance,mass,velocity
m·v·Lₐ·L_e·B
em,mechanics
m⁵·v⁶·Lₐ⁻⁴·L_e·B⁻²
L_e = k₀ · m⁻⁵·v⁻⁶·Lₐ⁴·B²
null
0
2
6
18
15.2
-5.7
false
{"mass": "5", "velocity": "6", "ang_momentum": "-4", "inductance": "1", "bfield": "-2"}
5
ang_momentum,inductance,mass,permittivity,velocity
m·v·Lₐ·L_e·ε
em,mechanics
m·v³·Lₐ⁻¹·L_e·ε
m = k₀ · v⁻³·Lₐ·L_e⁻¹·ε⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "ang_momentum": "-1", "inductance": "1", "permittivity": "1"}
5
ang_momentum,inductance,mass,permeability,velocity
m·v·Lₐ·L_e·μ₀
em,mechanics
m·v·Lₐ⁻¹·L_e·μ₀⁻¹
m = k₀ · v⁻¹·Lₐ·L_e⁻¹·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "ang_momentum": "-1", "inductance": "1", "permeability": "-1"}
5
ang_momentum,elem_charge,inductance,mass,velocity
m·v·Lₐ·L_e·e
constants,em,mechanics
m·v²·Lₐ⁻²·L_e·e²
m = k₀ · v⁻²·Lₐ²·L_e⁻¹·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "ang_momentum": "-2", "inductance": "1", "elem_charge": "2"}
5
ang_momentum,efield,mag_flux,mass,velocity
m·v·Lₐ·E_f·Φ
em,mechanics
m²·v³·Lₐ⁻²·E_f⁻¹·Φ
E_f = k₀ · m²·v³·Lₐ⁻²·Φ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "ang_momentum": "-2", "efield": "-1", "mag_flux": "1"}
5
ang_momentum,efield,mass,permittivity,velocity
m·v·Lₐ·E_f·ε
em,mechanics
m⁴·v⁵·Lₐ⁻³·E_f⁻²·ε⁻¹
ε = k₀ · m⁴·v⁵·Lₐ⁻³·E_f⁻²
null
0
2
5
15
12.6
-3.1
false
{"mass": "4", "velocity": "5", "ang_momentum": "-3", "efield": "-2", "permittivity": "-1"}
5
ang_momentum,efield,mass,permeability,velocity
m·v·Lₐ·E_f·μ₀
em,mechanics
m⁴·v⁷·Lₐ⁻³·E_f⁻²·μ₀
μ₀ = k₀ · m⁻⁴·v⁻⁷·Lₐ³·E_f²
null
0
2
7
17
15
-5.5
false
{"mass": "4", "velocity": "7", "ang_momentum": "-3", "efield": "-2", "permeability": "1"}
5
ang_momentum,conductivity,efield,mass,velocity
m·v·Lₐ·E_f·σ
em,mechanics
m⁵·v⁷·Lₐ⁻⁴·E_f⁻²·σ⁻¹
σ = k₀ · m⁵·v⁷·Lₐ⁻⁴·E_f⁻²
null
0
2
7
19
16.4
-6.9
false
{"mass": "5", "velocity": "7", "ang_momentum": "-4", "efield": "-2", "conductivity": "-1"}
5
ang_momentum,efield,mass,resistivity,velocity
m·v·Lₐ·E_f·ρ_e
em,mechanics
m⁵·v⁷·Lₐ⁻⁴·E_f⁻²·ρ_e
ρ_e = k₀ · m⁻⁵·v⁻⁷·Lₐ⁴·E_f²
null
0
2
7
19
16.4
-6.9
false
{"mass": "5", "velocity": "7", "ang_momentum": "-4", "efield": "-2", "resistivity": "1"}
5
ang_momentum,efield,elem_charge,mass,velocity
m·v·Lₐ·E_f·e
constants,em,mechanics
m²·v³·Lₐ⁻¹·E_f⁻¹·e⁻¹
Lₐ = k₀ · m²·v³·E_f⁻¹·e⁻¹
null
1
3
3
8
7.3
1.7
false
{"mass": "2", "velocity": "3", "ang_momentum": "-1", "efield": "-1", "elem_charge": "-1"}
5
ang_momentum,bfield,mag_flux,mass,velocity
m·v·Lₐ·B·Φ
em,mechanics
m²·v²·Lₐ⁻²·B⁻¹·Φ
B = k₀ · m²·v²·Lₐ⁻²·Φ
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "ang_momentum": "-2", "bfield": "-1", "mag_flux": "1"}
5
ang_momentum,bfield,mass,permittivity,velocity
m·v·Lₐ·B·ε
em,mechanics
m⁴·v³·Lₐ⁻³·B⁻²·ε⁻¹
ε = k₀ · m⁴·v³·Lₐ⁻³·B⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "4", "velocity": "3", "ang_momentum": "-3", "bfield": "-2", "permittivity": "-1"}
5
ang_momentum,bfield,mass,permeability,velocity
m·v·Lₐ·B·μ₀
em,mechanics
m⁴·v⁵·Lₐ⁻³·B⁻²·μ₀
μ₀ = k₀ · m⁻⁴·v⁻⁵·Lₐ³·B²
null
0
2
5
15
12.6
-3.1
false
{"mass": "4", "velocity": "5", "ang_momentum": "-3", "bfield": "-2", "permeability": "1"}
5
ang_momentum,bfield,conductivity,mass,velocity
m·v·Lₐ·B·σ
em,mechanics
m⁵·v⁵·Lₐ⁻⁴·B⁻²·σ⁻¹
σ = k₀ · m⁵·v⁵·Lₐ⁻⁴·B⁻²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "velocity": "5", "ang_momentum": "-4", "bfield": "-2", "conductivity": "-1"}
5
ang_momentum,bfield,mass,resistivity,velocity
m·v·Lₐ·B·ρ_e
em,mechanics
m⁵·v⁵·Lₐ⁻⁴·B⁻²·ρ_e
ρ_e = k₀ · m⁻⁵·v⁻⁵·Lₐ⁴·B²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "velocity": "5", "ang_momentum": "-4", "bfield": "-2", "resistivity": "1"}
5
ang_momentum,bfield,elem_charge,mass,velocity
m·v·Lₐ·B·e
constants,em,mechanics
m²·v²·Lₐ⁻¹·B⁻¹·e⁻¹
Lₐ = k₀ · m²·v²·B⁻¹·e⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "velocity": "2", "ang_momentum": "-1", "bfield": "-1", "elem_charge": "-1"}
5
ang_momentum,conductivity,mass,permittivity,velocity
m·v·Lₐ·ε·σ
em,mechanics
m·v²·Lₐ⁻¹·ε·σ⁻¹
m = k₀ · v⁻²·Lₐ·ε⁻¹·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "permittivity": "1", "conductivity": "-1"}
5
ang_momentum,mass,permittivity,resistivity,velocity
m·v·Lₐ·ε·ρ_e
em,mechanics
m·v²·Lₐ⁻¹·ε·ρ_e
m = k₀ · v⁻²·Lₐ·ε⁻¹·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "permittivity": "1", "resistivity": "1"}
5
ang_momentum,conductivity,elem_charge,mass,velocity
m·v·Lₐ·σ·e
constants,em,mechanics
m·v·Lₐ⁻²·σ⁻¹·e²
m = k₀ · v⁻¹·Lₐ²·σ·e⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "1", "ang_momentum": "-2", "conductivity": "-1", "elem_charge": "2"}
5
ang_momentum,elem_charge,mass,resistivity,velocity
m·v·Lₐ·ρ_e·e
constants,em,mechanics
m·v·Lₐ⁻²·ρ_e·e²
m = k₀ · v⁻¹·Lₐ²·ρ_e⁻¹·e⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "1", "ang_momentum": "-2", "resistivity": "1", "elem_charge": "2"}
5
amount,ang_momentum,concentration,mass,velocity
m·v·Lₐ·n·c_n
chemistry,mechanics
m³·v³·Lₐ⁻³·n·c_n⁻¹
n = k₀ · m⁻³·v⁻³·Lₐ³·c_n
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "velocity": "3", "ang_momentum": "-3", "amount": "1", "concentration": "-1"}
5
amount,ang_momentum,cat_activity,mass,velocity
m·v·Lₐ·n·z
chemistry,mechanics
m·v²·Lₐ⁻¹·n·z⁻¹
m = k₀ · v⁻²·Lₐ·n⁻¹·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "amount": "1", "cat_activity": "-1"}
5
ang_momentum,concentration,mass,molar_mass,velocity
m·v·Lₐ·M_m·c_n
chemistry,mechanics
m⁴·v³·Lₐ⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·v³·Lₐ⁻³·c_n⁻¹
null
0
2
4
12
10
-0.5
false
{"mass": "4", "velocity": "3", "ang_momentum": "-3", "molar_mass": "-1", "concentration": "-1"}
5
ang_momentum,cat_activity,mass,molar_mass,velocity
m·v·Lₐ·M_m·z
chemistry,mechanics
m²·v²·Lₐ⁻¹·M_m⁻¹·z⁻¹
Lₐ = k₀ · m²·v²·M_m⁻¹·z⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "velocity": "2", "ang_momentum": "-1", "molar_mass": "-1", "cat_activity": "-1"}
5
ang_momentum,concentration,mass,molar_energy,velocity
m·v·Lₐ·c_n·E_m
chemistry,mechanics
m⁴·v⁵·Lₐ⁻³·c_n⁻¹·E_m⁻¹
c_n = k₀ · m⁴·v⁵·Lₐ⁻³·E_m⁻¹
null
0
2
5
14
11.9
-2.4
false
{"mass": "4", "velocity": "5", "ang_momentum": "-3", "concentration": "-1", "molar_energy": "-1"}
6
ang_momentum,boltzmann,concentration,gas_constant,mass,velocity
m·v·Lₐ·c_n·R·k_B
chemistry,constants,mechanics
m³·v³·Lₐ⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·v³·Lₐ⁻³·R⁻¹·k_B
null
1
3
3
12
10.4
-1.4
false
{"mass": "3", "velocity": "3", "ang_momentum": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
5
ang_momentum,cat_activity,concentration,mass,velocity
m·v·Lₐ·c_n·z
chemistry,mechanics
m²·v·Lₐ⁻²·c_n⁻¹·z
v = k₀ · m⁻²·Lₐ²·c_n·z⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "velocity": "1", "ang_momentum": "-2", "concentration": "-1", "cat_activity": "1"}
5
ang_momentum,avogadro,concentration,mass,velocity
m·v·Lₐ·c_n·N_A
chemistry,constants,mechanics
m³·v³·Lₐ⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·v³·Lₐ⁻³·N_A⁻¹
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "velocity": "3", "ang_momentum": "-3", "concentration": "-1", "avogadro": "-1"}
5
ang_momentum,cat_activity,mass,molar_energy,velocity
m·v·Lₐ·E_m·z
chemistry,mechanics
m²·v⁴·Lₐ⁻¹·E_m⁻¹·z⁻¹
Lₐ = k₀ · m²·v⁴·E_m⁻¹·z⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "2", "velocity": "4", "ang_momentum": "-1", "molar_energy": "-1", "cat_activity": "-1"}
6
ang_momentum,boltzmann,cat_activity,gas_constant,mass,velocity
m·v·Lₐ·R·z·k_B
chemistry,constants,mechanics
m·v²·Lₐ⁻¹·R⁻¹·z⁻¹·k_B
m = k₀ · v⁻²·Lₐ·R·z·k_B⁻¹
null
1
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"}
5
ang_momentum,avogadro,cat_activity,mass,velocity
m·v·Lₐ·z·N_A
chemistry,constants,mechanics
m·v²·Lₐ⁻¹·z⁻¹·N_A⁻¹
m = k₀ · v⁻²·Lₐ·z·N_A
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "ang_momentum": "-1", "cat_activity": "-1", "avogadro": "-1"}
5
ang_momentum,illuminance,lum_intensity,mass,velocity
m·v·Lₐ·I_v·E_v
mechanics,photometry
m²·v²·Lₐ⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·v⁻²·Lₐ²·E_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "ang_momentum": "-2", "lum_intensity": "1", "illuminance": "-1"}
5
ang_momentum,lum_intensity,luminance,mass,velocity
m·v·Lₐ·I_v·L_v
mechanics,photometry
m²·v²·Lₐ⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·v⁻²·Lₐ²·L_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "ang_momentum": "-2", "lum_intensity": "1", "luminance": "-1"}
4
ang_momentum,grav_const,mass,velocity
m·v·Lₐ·G
constants,mechanics
m²·v⁻¹·Lₐ⁻¹·G
v = k₀ · m²·Lₐ⁻¹·G
null
1
2
2
5
3.8
5.7
true
{"mass": "2", "velocity": "-1", "ang_momentum": "-1", "grav_const": "1"}
4
action,inertia,mass,velocity
m·v·S·J
mechanics
m·v²·S⁻²·J
m = k₀ · v⁻²·S²·J⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "2", "action": "-2", "inertia": "1"}