Datasets:
RANDMEDIATION
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PhysicsBabel

Dataset card Data Studio Files
xet
 Community
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62 values
pi
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stringlengths
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19 values
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int64
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int64
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int64
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float64
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score
float64
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bool
2 classes
exponents
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27
177
4
ang_momentum,area,mass,time
m·t·Lₐ·A
mechanics
m·t⁻¹·Lₐ⁻¹·A
m = k₀ · t·Lₐ·A⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "area": "1"}
4
ang_momentum,mass,time,volume
m·t·Lₐ·V
mechanics
m³·t⁻³·Lₐ⁻³·V²
V = k₀ · m⁻³ᐟ²·t³ᐟ²·Lₐ³ᐟ²
null
0
1
3
11
7.9
2.1
false
{"mass": "3", "time": "-3", "ang_momentum": "-3", "volume": "2"}
4
ang_momentum,flowrate,mass,time
m·t·Lₐ·Q
mechanics
m³·t⁻¹·Lₐ⁻³·Q²
t = k₀ · m³·Lₐ⁻³·Q²
null
0
1
3
9
6.5
3.5
false
{"mass": "3", "time": "-1", "ang_momentum": "-3", "flowrate": "2"}
5
ang_momentum,mass,specific_heat,temperature,time
m·t·Lₐ·Θ·c
mechanics,thermo
m·t·Lₐ⁻¹·Θ·c
m = k₀ · t⁻¹·Lₐ·Θ⁻¹·c⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "temperature": "1", "specific_heat": "1"}
5
ang_momentum,mass,temperature,thermal_cond,time
m·t·Lₐ·Θ·κ
mechanics,thermo
m·t⁻⁵·Lₐ·Θ⁻²·κ⁻²
m = k₀ · t⁵·Lₐ⁻¹·Θ²·κ²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "ang_momentum": "1", "temperature": "-2", "thermal_cond": "-2"}
6
ang_momentum,gas_constant,mass,molar_mass,temperature,time
m·t·Lₐ·Θ·M_m·R
chemistry,mechanics,thermo
m·t·Lₐ⁻¹·Θ·M_m⁻¹·R
m = k₀ · t⁻¹·Lₐ·Θ⁻¹·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "ang_momentum": "-1", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"}
6
ang_momentum,concentration,gas_constant,mass,temperature,time
m·t·Lₐ·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁵·Lₐ⁻¹·Θ⁻²·c_n⁻²·R⁻²
Lₐ = k₀ · m³·t⁻⁵·Θ⁻²·c_n⁻²·R⁻²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "ang_momentum": "-1", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
5
ang_momentum,entropy,mass,thermal_cond,time
m·t·Lₐ·S_e·κ
mechanics,thermo
m·t⁻³·Lₐ⁻¹·S_e²·κ⁻²
m = k₀ · t³·Lₐ·S_e⁻²·κ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "entropy": "2", "thermal_cond": "-2"}
6
ang_momentum,concentration,entropy,gas_constant,mass,time
m·t·Lₐ·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻³·Lₐ⁻³·S_e²·c_n⁻²·R⁻²
S_e = k₀ · m⁻³ᐟ²·t³ᐟ²·Lₐ³ᐟ²·c_n·R
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "time": "-3", "ang_momentum": "-3", "entropy": "2", "concentration": "-2", "gas_constant": "-2"}
5
ang_momentum,heat_capacity,mass,thermal_cond,time
m·t·Lₐ·C·κ
mechanics,thermo
m·t⁻³·Lₐ⁻¹·C²·κ⁻²
m = k₀ · t³·Lₐ·C⁻²·κ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "heat_capacity": "2", "thermal_cond": "-2"}
6
ang_momentum,concentration,gas_constant,heat_capacity,mass,time
m·t·Lₐ·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻³·Lₐ⁻³·C²·c_n⁻²·R⁻²
C = k₀ · m⁻³ᐟ²·t³ᐟ²·Lₐ³ᐟ²·c_n·R
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "time": "-3", "ang_momentum": "-3", "heat_capacity": "2", "concentration": "-2", "gas_constant": "-2"}
5
ang_momentum,mass,specific_heat,thermal_cond,time
m·t·Lₐ·c·κ
mechanics,thermo
m³·t⁻³·Lₐ⁻¹·c²·κ⁻²
Lₐ = k₀ · m³·t⁻³·c²·κ⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "time": "-3", "ang_momentum": "-1", "specific_heat": "2", "thermal_cond": "-2"}
5
ang_momentum,expansion,mass,specific_heat,time
m·t·Lₐ·c·β
mechanics,thermo
m·t·Lₐ⁻¹·c·β⁻¹
m = k₀ · t⁻¹·Lₐ·c⁻¹·β
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "specific_heat": "1", "expansion": "-1"}
6
ang_momentum,concentration,gas_constant,mass,specific_heat,time
m·t·Lₐ·c·c_n·R
chemistry,mechanics,thermo
m⁵·t⁻³·Lₐ⁻³·c²·c_n⁻²·R⁻²
c = k₀ · m⁻⁵ᐟ²·t³ᐟ²·Lₐ³ᐟ²·c_n·R
null
0
3
5
17
14.9
-5.9
false
{"mass": "5", "time": "-3", "ang_momentum": "-3", "specific_heat": "2", "concentration": "-2", "gas_constant": "-2"}
6
ang_momentum,gas_constant,mass,molar_energy,specific_heat,time
m·t·Lₐ·c·E_m·R
chemistry,mechanics,thermo
m·t·Lₐ⁻¹·c·E_m·R⁻¹
m = k₀ · t⁻¹·Lₐ·c⁻¹·E_m⁻¹·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "ang_momentum": "-1", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"}
5
ang_momentum,expansion,mass,thermal_cond,time
m·t·Lₐ·κ·β
mechanics,thermo
m·t⁻⁵·Lₐ·κ⁻²·β²
m = k₀ · t⁵·Lₐ⁻¹·κ²·β⁻²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "ang_momentum": "1", "thermal_cond": "-2", "expansion": "2"}
6
amount,ang_momentum,gas_constant,mass,thermal_cond,time
m·t·Lₐ·κ·n·R
chemistry,mechanics,thermo
m·t⁻³·Lₐ⁻¹·κ⁻²·n²·R²
m = k₀ · t³·Lₐ·κ²·n⁻²·R⁻²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
ang_momentum,gas_constant,mass,molar_mass,thermal_cond,time
m·t·Lₐ·κ·M_m·R
chemistry,mechanics,thermo
m³·t⁻³·Lₐ⁻¹·κ⁻²·M_m⁻²·R²
Lₐ = k₀ · m³·t⁻³·κ⁻²·M_m⁻²·R²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "time": "-3", "ang_momentum": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
ang_momentum,gas_constant,mass,molar_energy,thermal_cond,time
m·t·Lₐ·κ·E_m·R
chemistry,mechanics,thermo
m·t⁻⁵·Lₐ·κ⁻²·E_m⁻²·R²
m = k₀ · t⁵·Lₐ⁻¹·κ²·E_m²·R⁻²
null
0
3
5
13
12.1
-3.1
false
{"mass": "1", "time": "-5", "ang_momentum": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
ang_momentum,cat_activity,gas_constant,mass,thermal_cond,time
m·t·Lₐ·κ·R·z
chemistry,mechanics,thermo
m·t⁻¹·Lₐ⁻¹·κ⁻²·R²·z²
m = k₀ · t·Lₐ·κ²·R⁻²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-1", "ang_momentum": "-1", "thermal_cond": "-2", "gas_constant": "2", "cat_activity": "2"}
6
ang_momentum,avogadro,gas_constant,mass,thermal_cond,time
m·t·Lₐ·κ·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻³·Lₐ⁻¹·κ⁻²·R²·N_A⁻²
m = k₀ · t³·Lₐ·κ²·R⁻²·N_A²
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
ang_momentum,boltzmann,mass,thermal_cond,time
m·t·Lₐ·κ·k_B
constants,mechanics,thermo
m·t⁻³·Lₐ⁻¹·κ⁻²·k_B²
m = k₀ · t³·Lₐ·κ²·k_B⁻²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "thermal_cond": "-2", "boltzmann": "2"}
6
ang_momentum,expansion,gas_constant,mass,molar_mass,time
m·t·Lₐ·β·M_m·R
chemistry,mechanics,thermo
m·t·Lₐ⁻¹·β⁻¹·M_m⁻¹·R
m = k₀ · t⁻¹·Lₐ·β·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "ang_momentum": "-1", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
ang_momentum,concentration,expansion,gas_constant,mass,time
m·t·Lₐ·β·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁵·Lₐ⁻¹·β²·c_n⁻²·R⁻²
Lₐ = k₀ · m³·t⁻⁵·β²·c_n⁻²·R⁻²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "ang_momentum": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
5
ang_momentum,charge,efield,mass,time
m·t·Lₐ·q·E_f
em,mechanics
m·t⁻³·Lₐ·q⁻²·E_f⁻²
m = k₀ · t³·Lₐ⁻¹·q²·E_f²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "ang_momentum": "1", "charge": "-2", "efield": "-2"}
5
ang_momentum,charge,mass,permittivity,time
m·t·Lₐ·q·ε
em,mechanics
m·t·Lₐ⁻³·q⁴·ε⁻²
m = k₀ · t⁻¹·Lₐ³·q⁻⁴·ε²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "1", "ang_momentum": "-3", "charge": "4", "permittivity": "-2"}
5
ang_momentum,charge,mass,permeability,time
m·t·Lₐ·q·μ₀
em,mechanics
m·t·Lₐ·q⁻⁴·μ₀⁻²
m = k₀ · t⁻¹·Lₐ⁻¹·q⁴·μ₀²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "1", "ang_momentum": "1", "charge": "-4", "permeability": "-2"}
5
ang_momentum,charge,conductivity,mass,time
m·t·Lₐ·q·σ
em,mechanics
m·t⁻¹·Lₐ⁻³·q⁴·σ⁻²
m = k₀ · t·Lₐ³·q⁻⁴·σ²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-1", "ang_momentum": "-3", "charge": "4", "conductivity": "-2"}
5
ang_momentum,charge,mass,resistivity,time
m·t·Lₐ·q·ρ_e
em,mechanics
m·t⁻¹·Lₐ⁻³·q⁴·ρ_e²
m = k₀ · t·Lₐ³·q⁻⁴·ρ_e⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-1", "ang_momentum": "-3", "charge": "4", "resistivity": "2"}
5
ang_momentum,current,efield,mass,time
m·t·Lₐ·i·E_f
em,mechanics
m·t⁻⁵·Lₐ·i⁻²·E_f⁻²
m = k₀ · t⁵·Lₐ⁻¹·i²·E_f²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "ang_momentum": "1", "current": "-2", "efield": "-2"}
5
ang_momentum,current,mass,permittivity,time
m·t·Lₐ·i·ε
em,mechanics
m·t⁵·Lₐ⁻³·i⁴·ε⁻²
m = k₀ · t⁻⁵·Lₐ³·i⁻⁴·ε²
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "time": "5", "ang_momentum": "-3", "current": "4", "permittivity": "-2"}
5
ang_momentum,current,mass,permeability,time
m·t·Lₐ·i·μ₀
em,mechanics
m·t⁻³·Lₐ·i⁻⁴·μ₀⁻²
m = k₀ · t³·Lₐ⁻¹·i⁴·μ₀²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-3", "ang_momentum": "1", "current": "-4", "permeability": "-2"}
5
ang_momentum,conductivity,current,mass,time
m·t·Lₐ·i·σ
em,mechanics
m·t³·Lₐ⁻³·i⁴·σ⁻²
m = k₀ · t⁻³·Lₐ³·i⁻⁴·σ²
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "time": "3", "ang_momentum": "-3", "current": "4", "conductivity": "-2"}
5
ang_momentum,current,mass,resistivity,time
m·t·Lₐ·i·ρ_e
em,mechanics
m·t³·Lₐ⁻³·i⁴·ρ_e²
m = k₀ · t⁻³·Lₐ³·i⁻⁴·ρ_e⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "time": "3", "ang_momentum": "-3", "current": "4", "resistivity": "2"}
5
ang_momentum,efield,mass,time,voltage
m·t·Lₐ·U·E_f
em,mechanics
m·t⁻¹·Lₐ⁻¹·U²·E_f⁻²
m = k₀ · t·Lₐ·U⁻²·E_f²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "voltage": "2", "efield": "-2"}
5
ang_momentum,mass,permittivity,time,voltage
m·t·Lₐ·U·ε
em,mechanics
m·t⁻³·Lₐ·U⁻⁴·ε⁻²
m = k₀ · t³·Lₐ⁻¹·U⁴·ε²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "-3", "ang_momentum": "1", "voltage": "-4", "permittivity": "-2"}
5
ang_momentum,mass,permeability,time,voltage
m·t·Lₐ·U·μ₀
em,mechanics
m·t⁵·Lₐ⁻³·U⁴·μ₀⁻²
m = k₀ · t⁻⁵·Lₐ³·U⁻⁴·μ₀²
null
0
2
5
15
12.6
-3.1
false
{"mass": "1", "time": "5", "ang_momentum": "-3", "voltage": "4", "permeability": "-2"}
5
ang_momentum,conductivity,mass,time,voltage
m·t·Lₐ·U·σ
em,mechanics
m·t⁻⁵·Lₐ·U⁻⁴·σ⁻²
m = k₀ · t⁵·Lₐ⁻¹·U⁴·σ²
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "time": "-5", "ang_momentum": "1", "voltage": "-4", "conductivity": "-2"}
5
ang_momentum,mass,resistivity,time,voltage
m·t·Lₐ·U·ρ_e
em,mechanics
m·t⁻⁵·Lₐ·U⁻⁴·ρ_e²
m = k₀ · t⁵·Lₐ⁻¹·U⁴·ρ_e⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "time": "-5", "ang_momentum": "1", "voltage": "-4", "resistivity": "2"}
5
ang_momentum,bfield,mass,resistance,time
m·t·Lₐ·R·B
em,mechanics
m²·t⁻²·Lₐ⁻¹·R·B⁻²
Lₐ = k₀ · m²·t⁻²·R·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "time": "-2", "ang_momentum": "-1", "resistance": "1", "bfield": "-2"}
5
ang_momentum,mass,permittivity,resistance,time
m·t·Lₐ·R·ε
em,mechanics
m·t·Lₐ⁻¹·R⁻²·ε⁻²
m = k₀ · t⁻¹·Lₐ·R²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "resistance": "-2", "permittivity": "-2"}
5
ang_momentum,mass,permeability,resistance,time
m·t·Lₐ·R·μ₀
em,mechanics
m·t·Lₐ⁻¹·R²·μ₀⁻²
m = k₀ · t⁻¹·Lₐ·R⁻²·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "resistance": "2", "permeability": "-2"}
5
ang_momentum,conductivity,mass,resistance,time
m·t·Lₐ·R·σ
em,mechanics
m·t⁻¹·Lₐ⁻¹·R⁻²·σ⁻²
m = k₀ · t·Lₐ·R²·σ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "resistance": "-2", "conductivity": "-2"}
5
ang_momentum,mass,resistance,resistivity,time
m·t·Lₐ·R·ρ_e
em,mechanics
m·t⁻¹·Lₐ⁻¹·R⁻²·ρ_e²
m = k₀ · t·Lₐ·R²·ρ_e⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "resistance": "-2", "resistivity": "2"}
5
ang_momentum,bfield,capacitance,mass,time
m·t·Lₐ·C_e·B
em,mechanics
m²·t⁻¹·Lₐ⁻¹·C_e⁻¹·B⁻²
t = k₀ · m²·Lₐ⁻¹·C_e⁻¹·B⁻²
null
0
2
2
7
5.5
4
true
{"mass": "2", "time": "-1", "ang_momentum": "-1", "capacitance": "-1", "bfield": "-2"}
5
ang_momentum,capacitance,mass,permittivity,time
m·t·Lₐ·C_e·ε
em,mechanics
m·t⁻¹·Lₐ⁻¹·C_e²·ε⁻²
m = k₀ · t·Lₐ·C_e⁻²·ε²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "capacitance": "2", "permittivity": "-2"}
5
ang_momentum,capacitance,mass,permeability,time
m·t·Lₐ·C_e·μ₀
em,mechanics
m·t³·Lₐ⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · t⁻³·Lₐ·C_e²·μ₀²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "ang_momentum": "-1", "capacitance": "-2", "permeability": "-2"}
5
ang_momentum,capacitance,conductivity,mass,time
m·t·Lₐ·C_e·σ
em,mechanics
m·t⁻³·Lₐ⁻¹·C_e²·σ⁻²
m = k₀ · t³·Lₐ·C_e⁻²·σ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "capacitance": "2", "conductivity": "-2"}
5
ang_momentum,capacitance,mass,resistivity,time
m·t·Lₐ·C_e·ρ_e
em,mechanics
m·t⁻³·Lₐ⁻¹·C_e²·ρ_e²
m = k₀ · t³·Lₐ·C_e⁻²·ρ_e⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "capacitance": "2", "resistivity": "2"}
5
ang_momentum,bfield,inductance,mass,time
m·t·Lₐ·L_e·B
em,mechanics
m²·t⁻³·Lₐ⁻¹·L_e·B⁻²
Lₐ = k₀ · m²·t⁻³·L_e·B⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "time": "-3", "ang_momentum": "-1", "inductance": "1", "bfield": "-2"}
5
ang_momentum,inductance,mass,permittivity,time
m·t·Lₐ·L_e·ε
em,mechanics
m·t³·Lₐ⁻¹·L_e⁻²·ε⁻²
m = k₀ · t⁻³·Lₐ·L_e²·ε²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "3", "ang_momentum": "-1", "inductance": "-2", "permittivity": "-2"}
5
ang_momentum,inductance,mass,permeability,time
m·t·Lₐ·L_e·μ₀
em,mechanics
m·t⁻¹·Lₐ⁻¹·L_e²·μ₀⁻²
m = k₀ · t·Lₐ·L_e⁻²·μ₀²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "inductance": "2", "permeability": "-2"}
5
ang_momentum,conductivity,inductance,mass,time
m·t·Lₐ·L_e·σ
em,mechanics
m·t·Lₐ⁻¹·L_e⁻²·σ⁻²
m = k₀ · t⁻¹·Lₐ·L_e²·σ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "inductance": "-2", "conductivity": "-2"}
5
ang_momentum,inductance,mass,resistivity,time
m·t·Lₐ·L_e·ρ_e
em,mechanics
m·t·Lₐ⁻¹·L_e⁻²·ρ_e²
m = k₀ · t⁻¹·Lₐ·L_e²·ρ_e⁻²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "inductance": "-2", "resistivity": "2"}
5
ang_momentum,bfield,efield,mass,time
m·t·Lₐ·E_f·B
em,mechanics
m·t·Lₐ⁻¹·E_f²·B⁻²
m = k₀ · t⁻¹·Lₐ·E_f⁻²·B²
null
0
2
2
7
5.5
4
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "efield": "2", "bfield": "-2"}
5
ang_momentum,efield,mag_flux,mass,time
m·t·Lₐ·E_f·Φ
em,mechanics
m·t⁻³·Lₐ⁻¹·E_f⁻²·Φ²
m = k₀ · t³·Lₐ·E_f²·Φ⁻²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "ang_momentum": "-1", "efield": "-2", "mag_flux": "2"}
5
ang_momentum,efield,mass,permittivity,time
m·t·Lₐ·E_f·ε
em,mechanics
m³·t⁻⁵·Lₐ⁻¹·E_f⁻⁴·ε⁻²
Lₐ = k₀ · m³·t⁻⁵·E_f⁻⁴·ε⁻²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "time": "-5", "ang_momentum": "-1", "efield": "-4", "permittivity": "-2"}
5
ang_momentum,efield,mass,permeability,time
m·t·Lₐ·E_f·μ₀
em,mechanics
m·t⁻⁷·Lₐ·E_f⁻⁴·μ₀²
m = k₀ · t⁷·Lₐ⁻¹·E_f⁴·μ₀⁻²
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "time": "-7", "ang_momentum": "1", "efield": "-4", "permeability": "2"}
5
ang_momentum,conductivity,efield,mass,time
m·t·Lₐ·E_f·σ
em,mechanics
m³·t⁻⁷·Lₐ⁻¹·E_f⁻⁴·σ⁻²
Lₐ = k₀ · m³·t⁻⁷·E_f⁻⁴·σ⁻²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "ang_momentum": "-1", "efield": "-4", "conductivity": "-2"}
5
ang_momentum,efield,mass,resistivity,time
m·t·Lₐ·E_f·ρ_e
em,mechanics
m³·t⁻⁷·Lₐ⁻¹·E_f⁻⁴·ρ_e²
Lₐ = k₀ · m³·t⁻⁷·E_f⁻⁴·ρ_e²
null
0
2
7
17
15
-5.5
false
{"mass": "3", "time": "-7", "ang_momentum": "-1", "efield": "-4", "resistivity": "2"}
5
ang_momentum,efield,elem_charge,mass,time
m·t·Lₐ·E_f·e
constants,em,mechanics
m·t⁻³·Lₐ·E_f⁻²·e⁻²
m = k₀ · t³·Lₐ⁻¹·E_f²·e²
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "ang_momentum": "1", "efield": "-2", "elem_charge": "-2"}
5
ang_momentum,bfield,mag_flux,mass,time
m·t·Lₐ·B·Φ
em,mechanics
m·t⁻¹·Lₐ⁻¹·B⁻¹·Φ
m = k₀ · t·Lₐ·B·Φ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "bfield": "-1", "mag_flux": "1"}
5
ang_momentum,bfield,mass,permittivity,time
m·t·Lₐ·B·ε
em,mechanics
m⁵·t⁻³·Lₐ⁻³·B⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·t⁻³ᐟ²·Lₐ⁻³ᐟ²·B⁻²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "time": "-3", "ang_momentum": "-3", "bfield": "-4", "permittivity": "-2"}
5
ang_momentum,bfield,mass,permeability,time
m·t·Lₐ·B·μ₀
em,mechanics
m³·t⁻⁵·Lₐ⁻¹·B⁻⁴·μ₀²
Lₐ = k₀ · m³·t⁻⁵·B⁻⁴·μ₀²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "time": "-5", "ang_momentum": "-1", "bfield": "-4", "permeability": "2"}
5
ang_momentum,bfield,conductivity,mass,time
m·t·Lₐ·B·σ
em,mechanics
m⁵·t⁻⁵·Lₐ⁻³·B⁻⁴·σ⁻²
σ = k₀ · m⁵ᐟ²·t⁻⁵ᐟ²·Lₐ⁻³ᐟ²·B⁻²
null
0
2
5
19
15.4
-5.9
false
{"mass": "5", "time": "-5", "ang_momentum": "-3", "bfield": "-4", "conductivity": "-2"}
5
ang_momentum,bfield,mass,resistivity,time
m·t·Lₐ·B·ρ_e
em,mechanics
m⁵·t⁻⁵·Lₐ⁻³·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·Lₐ³ᐟ²·B²
null
0
2
5
19
15.4
-5.9
false
{"mass": "5", "time": "-5", "ang_momentum": "-3", "bfield": "-4", "resistivity": "2"}
5
ang_momentum,mag_flux,mass,permittivity,time
m·t·Lₐ·Φ·ε
em,mechanics
m·t·Lₐ·Φ⁻⁴·ε⁻²
m = k₀ · t⁻¹·Lₐ⁻¹·Φ⁴·ε²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "1", "ang_momentum": "1", "mag_flux": "-4", "permittivity": "-2"}
5
ang_momentum,mag_flux,mass,permeability,time
m·t·Lₐ·Φ·μ₀
em,mechanics
m·t·Lₐ⁻³·Φ⁴·μ₀⁻²
m = k₀ · t⁻¹·Lₐ³·Φ⁻⁴·μ₀²
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "time": "1", "ang_momentum": "-3", "mag_flux": "4", "permeability": "-2"}
5
ang_momentum,conductivity,mag_flux,mass,time
m·t·Lₐ·Φ·σ
em,mechanics
m·t⁻¹·Lₐ·Φ⁻⁴·σ⁻²
m = k₀ · t·Lₐ⁻¹·Φ⁴·σ²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-1", "ang_momentum": "1", "mag_flux": "-4", "conductivity": "-2"}
5
ang_momentum,mag_flux,mass,resistivity,time
m·t·Lₐ·Φ·ρ_e
em,mechanics
m·t⁻¹·Lₐ·Φ⁻⁴·ρ_e²
m = k₀ · t·Lₐ⁻¹·Φ⁴·ρ_e⁻²
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "time": "-1", "ang_momentum": "1", "mag_flux": "-4", "resistivity": "2"}
5
ang_momentum,mass,permeability,permittivity,time
m·t·Lₐ·ε·μ₀
em,mechanics
m·t·Lₐ⁻¹·ε⁻¹·μ₀⁻¹
m = k₀ · t⁻¹·Lₐ·ε·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "permittivity": "-1", "permeability": "-1"}
5
ang_momentum,elem_charge,mass,permittivity,time
m·t·Lₐ·ε·e
constants,em,mechanics
m·t·Lₐ⁻³·ε⁻²·e⁴
m = k₀ · t⁻¹·Lₐ³·ε²·e⁻⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "1", "ang_momentum": "-3", "permittivity": "-2", "elem_charge": "4"}
5
ang_momentum,elem_charge,mass,permeability,time
m·t·Lₐ·μ₀·e
constants,em,mechanics
m·t·Lₐ·μ₀⁻²·e⁻⁴
m = k₀ · t⁻¹·Lₐ⁻¹·μ₀²·e⁴
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "time": "1", "ang_momentum": "1", "permeability": "-2", "elem_charge": "-4"}
5
ang_momentum,conductivity,elem_charge,mass,time
m·t·Lₐ·σ·e
constants,em,mechanics
m·t⁻¹·Lₐ⁻³·σ⁻²·e⁴
m = k₀ · t·Lₐ³·σ²·e⁻⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-1", "ang_momentum": "-3", "conductivity": "-2", "elem_charge": "4"}
5
ang_momentum,elem_charge,mass,resistivity,time
m·t·Lₐ·ρ_e·e
constants,em,mechanics
m·t⁻¹·Lₐ⁻³·ρ_e²·e⁴
m = k₀ · t·Lₐ³·ρ_e⁻²·e⁻⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "time": "-1", "ang_momentum": "-3", "resistivity": "2", "elem_charge": "4"}
5
amount,ang_momentum,concentration,mass,time
m·t·Lₐ·n·c_n
chemistry,mechanics
m³·t⁻³·Lₐ⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³ᐟ²·Lₐ³ᐟ²·c_n
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "time": "-3", "ang_momentum": "-3", "amount": "2", "concentration": "-2"}
5
ang_momentum,concentration,mass,molar_mass,time
m·t·Lₐ·M_m·c_n
chemistry,mechanics
m⁵·t⁻³·Lₐ⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·Lₐ⁻³ᐟ²·c_n⁻¹
null
0
2
5
15
12.6
-3.1
false
{"mass": "5", "time": "-3", "ang_momentum": "-3", "molar_mass": "-2", "concentration": "-2"}
5
ang_momentum,mass,molar_energy,molar_mass,time
m·t·Lₐ·M_m·E_m
chemistry,mechanics
m·t·Lₐ⁻¹·M_m⁻¹·E_m
m = k₀ · t⁻¹·Lₐ·M_m·E_m⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "molar_mass": "-1", "molar_energy": "1"}
5
ang_momentum,concentration,mass,molar_energy,time
m·t·Lₐ·c_n·E_m
chemistry,mechanics
m³·t⁻⁵·Lₐ⁻¹·c_n⁻²·E_m⁻²
Lₐ = k₀ · m³·t⁻⁵·c_n⁻²·E_m⁻²
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "time": "-5", "ang_momentum": "-1", "concentration": "-2", "molar_energy": "-2"}
6
ang_momentum,boltzmann,concentration,gas_constant,mass,time
m·t·Lₐ·c_n·R·k_B
chemistry,constants,mechanics
m³·t⁻³·Lₐ⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·Lₐ⁻³ᐟ²·R⁻¹·k_B
null
1
3
3
15
12.5
-3.5
false
{"mass": "3", "time": "-3", "ang_momentum": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
5
ang_momentum,cat_activity,concentration,mass,time
m·t·Lₐ·c_n·z
chemistry,mechanics
m³·t⁻¹·Lₐ⁻³·c_n⁻²·z²
t = k₀ · m³·Lₐ⁻³·c_n⁻²·z²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "time": "-1", "ang_momentum": "-3", "concentration": "-2", "cat_activity": "2"}
5
ang_momentum,avogadro,concentration,mass,time
m·t·Lₐ·c_n·N_A
chemistry,constants,mechanics
m³·t⁻³·Lₐ⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·Lₐ⁻³ᐟ²·N_A⁻¹
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "time": "-3", "ang_momentum": "-3", "concentration": "-2", "avogadro": "-2"}
5
ang_momentum,illuminance,lum_intensity,mass,time
m·t·Lₐ·I_v·E_v
mechanics,photometry
m·t⁻¹·Lₐ⁻¹·I_v·E_v⁻¹
m = k₀ · t·Lₐ·I_v⁻¹·E_v
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "lum_intensity": "1", "illuminance": "-1"}
5
ang_momentum,lum_intensity,luminance,mass,time
m·t·Lₐ·I_v·L_v
mechanics,photometry
m·t⁻¹·Lₐ⁻¹·I_v·L_v⁻¹
m = k₀ · t·Lₐ·I_v⁻¹·L_v
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "-1", "ang_momentum": "-1", "lum_intensity": "1", "luminance": "-1"}
4
ang_momentum,light_speed,mass,time
m·t·Lₐ·c₀
constants,mechanics
m·t·Lₐ⁻¹·c₀²
m = k₀ · t⁻¹·Lₐ·c₀⁻²
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "time": "1", "ang_momentum": "-1", "light_speed": "2"}
4
ang_momentum,grav_const,mass,time
m·t·Lₐ·G
constants,mechanics
m⁵·t·Lₐ⁻³·G²
t = k₀ · m⁻⁵·Lₐ³·G⁻²
null
1
2
5
11
9.5
0
false
{"mass": "5", "time": "1", "ang_momentum": "-3", "grav_const": "2"}
4
action,mass,pressure,time
m·t·S·P_p
mechanics
m³·t⁻⁵·S⁻¹·P_p⁻²
S = k₀ · m³·t⁻⁵·P_p⁻²
null
0
1
5
11
8.9
1.1
false
{"mass": "3", "time": "-5", "action": "-1", "pressure": "-2"}
4
action,density,mass,time
m·t·S·ρ
mechanics
m⁵·t⁻³·S⁻³·ρ⁻²
ρ = k₀ · m⁵ᐟ²·t⁻³ᐟ²·S⁻³ᐟ²
null
0
1
5
13
10.3
-0.3
false
{"mass": "5", "time": "-3", "action": "-3", "density": "-2"}
4
action,mass,time,viscosity
m·t·S·μ
mechanics
m³·t⁻³·S⁻¹·μ⁻²
S = k₀ · m³·t⁻³·μ⁻²
null
0
1
3
9
6.5
3.5
false
{"mass": "3", "time": "-3", "action": "-1", "viscosity": "-2"}
4
action,area,mass,time
m·t·S·A
mechanics
m·t⁻¹·S⁻¹·A
m = k₀ · t·S·A⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "time": "-1", "action": "-1", "area": "1"}
4
action,mass,time,volume
m·t·S·V
mechanics
m³·t⁻³·S⁻³·V²
V = k₀ · m⁻³ᐟ²·t³ᐟ²·S³ᐟ²
null
0
1
3
11
7.9
2.1
false
{"mass": "3", "time": "-3", "action": "-3", "volume": "2"}
4
action,flowrate,mass,time
m·t·S·Q
mechanics
m³·t⁻¹·S⁻³·Q²
t = k₀ · m³·S⁻³·Q²
null
0
1
3
9
6.5
3.5
false
{"mass": "3", "time": "-1", "action": "-3", "flowrate": "2"}
5
action,mass,specific_heat,temperature,time
m·t·S·Θ·c
mechanics,thermo
m·t·S⁻¹·Θ·c
m = k₀ · t⁻¹·S·Θ⁻¹·c⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "time": "1", "action": "-1", "temperature": "1", "specific_heat": "1"}
5
action,mass,temperature,thermal_cond,time
m·t·S·Θ·κ
mechanics,thermo
m·t⁻⁵·S·Θ⁻²·κ⁻²
m = k₀ · t⁵·S⁻¹·Θ²·κ²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "time": "-5", "action": "1", "temperature": "-2", "thermal_cond": "-2"}
6
action,gas_constant,mass,molar_mass,temperature,time
m·t·S·Θ·M_m·R
chemistry,mechanics,thermo
m·t·S⁻¹·Θ·M_m⁻¹·R
m = k₀ · t⁻¹·S·Θ⁻¹·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "1", "action": "-1", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"}
6
action,concentration,gas_constant,mass,temperature,time
m·t·S·Θ·c_n·R
chemistry,mechanics,thermo
m³·t⁻⁵·S⁻¹·Θ⁻²·c_n⁻²·R⁻²
S = k₀ · m³·t⁻⁵·Θ⁻²·c_n⁻²·R⁻²
null
0
3
5
15
13.5
-4.5
false
{"mass": "3", "time": "-5", "action": "-1", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
5
action,entropy,mass,thermal_cond,time
m·t·S·S_e·κ
mechanics,thermo
m·t⁻³·S⁻¹·S_e²·κ⁻²
m = k₀ · t³·S·S_e⁻²·κ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "action": "-1", "entropy": "2", "thermal_cond": "-2"}
6
action,concentration,entropy,gas_constant,mass,time
m·t·S·S_e·c_n·R
chemistry,mechanics,thermo
m³·t⁻³·S⁻³·S_e²·c_n⁻²·R⁻²
S_e = k₀ · m⁻³ᐟ²·t³ᐟ²·S³ᐟ²·c_n·R
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "time": "-3", "action": "-3", "entropy": "2", "concentration": "-2", "gas_constant": "-2"}
5
action,heat_capacity,mass,thermal_cond,time
m·t·S·C·κ
mechanics,thermo
m·t⁻³·S⁻¹·C²·κ⁻²
m = k₀ · t³·S·C⁻²·κ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "action": "-1", "heat_capacity": "2", "thermal_cond": "-2"}
6
action,concentration,gas_constant,heat_capacity,mass,time
m·t·S·C·c_n·R
chemistry,mechanics,thermo
m³·t⁻³·S⁻³·C²·c_n⁻²·R⁻²
C = k₀ · m⁻³ᐟ²·t³ᐟ²·S³ᐟ²·c_n·R
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "time": "-3", "action": "-3", "heat_capacity": "2", "concentration": "-2", "gas_constant": "-2"}