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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6 | heat_capacity,inductance,length,mass,permittivity,temperature | m·ℓ·Θ·C·L_e·ε | em,mechanics,thermo | m·ℓ·Θ⁻¹·C⁻¹·L_e⁻¹·ε⁻¹ | m = k₀ · ℓ⁻¹·Θ·C·L_e·ε | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "temperature": "-1", "heat_capacity": "-1", "inductance": "-1", "permittivity": "-1"} |
6 | efield,heat_capacity,length,mag_flux,mass,temperature | m·ℓ·Θ·C·E_f·Φ | em,mechanics,thermo | m·ℓ⁴·Θ⁻¹·C⁻¹·E_f²·Φ⁻² | m = k₀ · ℓ⁻⁴·Θ·C·E_f⁻²·Φ² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "heat_capacity": "-1", "efield": "2", "mag_flux": "-2"} |
6 | efield,heat_capacity,length,mass,permeability,temperature | m·ℓ·Θ·C·E_f·μ₀ | em,mechanics,thermo | m·ℓ³·Θ⁻²·C⁻²·E_f²·μ₀⁻¹ | m = k₀ · ℓ⁻³·Θ²·C²·E_f⁻²·μ₀ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "temperature": "-2", "heat_capacity": "-2", "efield": "2", "permeability": "-1"} |
6 | conductivity,efield,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·E_f·σ | em,mechanics,thermo | m·ℓ⁸·Θ⁻³·C⁻³·E_f⁴·σ² | m = k₀ · ℓ⁻⁸·Θ³·C³·E_f⁻⁴·σ⁻² | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "temperature": "-3", "heat_capacity": "-3", "efield": "4", "conductivity": "2"} |
6 | efield,heat_capacity,length,mass,resistivity,temperature | m·ℓ·Θ·C·E_f·ρ_e | em,mechanics,thermo | m·ℓ⁸·Θ⁻³·C⁻³·E_f⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁸·Θ³·C³·E_f⁻⁴·ρ_e² | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "temperature": "-3", "heat_capacity": "-3", "efield": "4", "resistivity": "-2"} |
6 | bfield,conductivity,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·B·σ | em,mechanics,thermo | m·ℓ⁻⁸·Θ·C·B⁻⁴·σ⁻² | m = k₀ · ℓ⁸·Θ⁻¹·C⁻¹·B⁴·σ² | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "temperature": "1", "heat_capacity": "1", "bfield": "-4", "conductivity": "-2"} |
6 | bfield,heat_capacity,length,mass,resistivity,temperature | m·ℓ·Θ·C·B·ρ_e | em,mechanics,thermo | m·ℓ⁻⁸·Θ·C·B⁻⁴·ρ_e² | m = k₀ · ℓ⁸·Θ⁻¹·C⁻¹·B⁴·ρ_e⁻² | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "temperature": "1", "heat_capacity": "1", "bfield": "-4", "resistivity": "2"} |
6 | bfield,elem_charge,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·B·e | constants,em,mechanics,thermo | m·ℓ⁻²·Θ·C·B⁻²·e⁻² | m = k₀ · ℓ²·Θ⁻¹·C⁻¹·B²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "temperature": "1", "heat_capacity": "1", "bfield": "-2", "elem_charge": "-2"} |
6 | elem_charge,heat_capacity,length,mag_flux,mass,temperature | m·ℓ·Θ·C·Φ·e | constants,em,mechanics,thermo | m·ℓ²·Θ·C·Φ⁻²·e⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·C⁻¹·Φ²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "1", "heat_capacity": "1", "mag_flux": "-2", "elem_charge": "-2"} |
6 | conductivity,heat_capacity,length,mass,permittivity,temperature | m·ℓ·Θ·C·ε·σ | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·ε⁻²·σ² | m = k₀ · ℓ⁻²·Θ·C·ε²·σ⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "permittivity": "-2", "conductivity": "2"} |
6 | heat_capacity,length,mass,permittivity,resistivity,temperature | m·ℓ·Θ·C·ε·ρ_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·ε⁻²·ρ_e⁻² | m = k₀ · ℓ⁻²·Θ·C·ε²·ρ_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "permittivity": "-2", "resistivity": "-2"} |
6 | conductivity,heat_capacity,length,mass,permeability,temperature | m·ℓ·Θ·C·μ₀·σ | em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·C⁻¹·μ₀⁻²·σ⁻² | m = k₀ · ℓ²·Θ·C·μ₀²·σ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "heat_capacity": "-1", "permeability": "-2", "conductivity": "-2"} |
6 | heat_capacity,length,mass,permeability,resistivity,temperature | m·ℓ·Θ·C·μ₀·ρ_e | em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·C⁻¹·μ₀⁻²·ρ_e² | m = k₀ · ℓ²·Θ·C·μ₀²·ρ_e⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "heat_capacity": "-1", "permeability": "-2", "resistivity": "2"} |
6 | conductivity,elem_charge,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·σ·e | constants,em,mechanics,thermo | m·ℓ⁴·Θ·C·σ²·e⁻⁴ | m = k₀ · ℓ⁻⁴·Θ⁻¹·C⁻¹·σ⁻²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "temperature": "1", "heat_capacity": "1", "conductivity": "2", "elem_charge": "-4"} |
6 | elem_charge,heat_capacity,length,mass,resistivity,temperature | m·ℓ·Θ·C·ρ_e·e | constants,em,mechanics,thermo | m·ℓ⁴·Θ·C·ρ_e⁻²·e⁻⁴ | m = k₀ · ℓ⁻⁴·Θ⁻¹·C⁻¹·ρ_e²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "temperature": "1", "heat_capacity": "1", "resistivity": "-2", "elem_charge": "-4"} |
6 | amount,cat_activity,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·n·z | chemistry,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·n⁻²·z² | m = k₀ · ℓ⁻²·Θ·C·n²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "amount": "-2", "cat_activity": "2"} |
6 | cat_activity,heat_capacity,length,mass,molar_mass,temperature | m·ℓ·Θ·C·M_m·z | chemistry,mechanics,thermo | m·ℓ⁻²·Θ·C·M_m⁻²·z⁻² | m = k₀ · ℓ²·Θ⁻¹·C⁻¹·M_m²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "1", "heat_capacity": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | cat_activity,concentration,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·c_n·z | chemistry,mechanics,thermo | m·ℓ⁻⁴·Θ⁻¹·C⁻¹·c_n⁻²·z² | m = k₀ · ℓ⁴·Θ·C·c_n²·z⁻² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "temperature": "-1", "heat_capacity": "-1", "concentration": "-2", "cat_activity": "2"} |
6 | cat_activity,heat_capacity,length,mass,molar_energy,temperature | m·ℓ·Θ·C·E_m·z | chemistry,mechanics,thermo | m·ℓ²·Θ⁻³·C⁻³·E_m²·z² | m = k₀ · ℓ⁻²·Θ³·C³·E_m⁻²·z⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "temperature": "-3", "heat_capacity": "-3", "molar_energy": "2", "cat_activity": "2"} |
6 | cat_activity,gas_constant,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·R·z | chemistry,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻³·R²·z² | m = k₀ · ℓ⁻²·Θ·C³·R⁻²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-3", "gas_constant": "2", "cat_activity": "2"} |
6 | avogadro,cat_activity,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·z·N_A | chemistry,constants,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·z²·N_A² | m = k₀ · ℓ⁻²·Θ·C·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "cat_activity": "2", "avogadro": "2"} |
5 | grav_const,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·G | constants,mechanics,thermo | m²·ℓ⁻¹·Θ⁻¹·C⁻¹·G | ℓ = k₀ · m²·Θ⁻¹·C⁻¹·G | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "2", "length": "-1", "temperature": "-1", "heat_capacity": "-1", "grav_const": "1"} |
5 | heat_capacity,length,mass,planck,temperature | m·ℓ·Θ·C·h | constants,mechanics,thermo | m·ℓ²·Θ·C·h⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·C⁻¹·h² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "temperature": "1", "heat_capacity": "1", "planck": "-2"} |
5 | length,mass,specific_heat,temperature,thermal_cond | m·ℓ·Θ·c·κ | mechanics,thermo | m²·ℓ⁻⁴·Θ·c³·κ⁻² | Θ = k₀ · m⁻²·ℓ⁴·c⁻³·κ² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "2", "length": "-4", "temperature": "1", "specific_heat": "3", "thermal_cond": "-2"} |
6 | charge,length,mass,resistance,specific_heat,temperature | m·ℓ·Θ·c·q·R | em,mechanics,thermo | m²·ℓ²·Θ·c·q⁻⁴·R⁻² | Θ = k₀ · m⁻²·ℓ⁻²·c⁻¹·q⁴·R² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "2", "temperature": "1", "specific_heat": "1", "charge": "-4", "resistance": "-2"} |
6 | charge,efield,length,mass,specific_heat,temperature | m·ℓ·Θ·c·q·E_f | em,mechanics,thermo | m·ℓ⁻¹·Θ·c·q⁻¹·E_f⁻¹ | m = k₀ · ℓ·Θ⁻¹·c⁻¹·q·E_f | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "temperature": "1", "specific_heat": "1", "charge": "-1", "efield": "-1"} |
6 | bfield,charge,length,mass,specific_heat,temperature | m·ℓ·Θ·c·q·B | em,mechanics,thermo | m²·ℓ⁻²·Θ·c·q⁻²·B⁻² | Θ = k₀ · m⁻²·ℓ²·c⁻¹·q²·B² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "-2", "temperature": "1", "specific_heat": "1", "charge": "-2", "bfield": "-2"} |
6 | charge,length,mag_flux,mass,specific_heat,temperature | m·ℓ·Θ·c·q·Φ | em,mechanics,thermo | m²·ℓ²·Θ·c·q⁻²·Φ⁻² | Θ = k₀ · m⁻²·ℓ⁻²·c⁻¹·q²·Φ² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "2", "temperature": "1", "specific_heat": "1", "charge": "-2", "mag_flux": "-2"} |
6 | charge,length,mass,permittivity,specific_heat,temperature | m·ℓ·Θ·c·q·ε | em,mechanics,thermo | m·ℓ·Θ·c·q⁻²·ε | m = k₀ · ℓ⁻¹·Θ⁻¹·c⁻¹·q²·ε⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "1", "temperature": "1", "specific_heat": "1", "charge": "-2", "permittivity": "1"} |
6 | charge,conductivity,length,mass,specific_heat,temperature | m·ℓ·Θ·c·q·σ | em,mechanics,thermo | m²·ℓ⁴·Θ·c·q⁻⁴·σ² | Θ = k₀ · m⁻²·ℓ⁻⁴·c⁻¹·q⁴·σ⁻² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "length": "4", "temperature": "1", "specific_heat": "1", "charge": "-4", "conductivity": "2"} |
6 | charge,length,mass,resistivity,specific_heat,temperature | m·ℓ·Θ·c·q·ρ_e | em,mechanics,thermo | m²·ℓ⁴·Θ·c·q⁻⁴·ρ_e⁻² | Θ = k₀ · m⁻²·ℓ⁻⁴·c⁻¹·q⁴·ρ_e² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "length": "4", "temperature": "1", "specific_heat": "1", "charge": "-4", "resistivity": "-2"} |
6 | current,length,mass,specific_heat,temperature,voltage | m·ℓ·Θ·c·i·U | em,mechanics,thermo | m²·ℓ⁻²·Θ³·c³·i⁻²·U⁻² | m = k₀ · ℓ·Θ⁻³ᐟ²·c⁻³ᐟ²·i·U | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "length": "-2", "temperature": "3", "specific_heat": "3", "current": "-2", "voltage": "-2"} |
6 | current,length,mass,resistance,specific_heat,temperature | m·ℓ·Θ·c·i·R | em,mechanics,thermo | m²·ℓ⁻²·Θ³·c³·i⁻⁴·R⁻² | m = k₀ · ℓ·Θ⁻³ᐟ²·c⁻³ᐟ²·i²·R | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-2", "temperature": "3", "specific_heat": "3", "current": "-4", "resistance": "-2"} |
6 | capacitance,current,length,mass,specific_heat,temperature | m·ℓ·Θ·c·i·C_e | em,mechanics,thermo | m·ℓ⁻²·Θ²·c²·i⁻²·C_e | m = k₀ · ℓ²·Θ⁻²·c⁻²·i²·C_e⁻¹ | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "-2", "temperature": "2", "specific_heat": "2", "current": "-2", "capacitance": "1"} |
6 | current,efield,length,mass,specific_heat,temperature | m·ℓ·Θ·c·i·E_f | em,mechanics,thermo | m²·ℓ⁻⁴·Θ³·c³·i⁻²·E_f⁻² | m = k₀ · ℓ²·Θ⁻³ᐟ²·c⁻³ᐟ²·i·E_f | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-4", "temperature": "3", "specific_heat": "3", "current": "-2", "efield": "-2"} |
6 | bfield,current,length,mass,specific_heat,temperature | m·ℓ·Θ·c·i·B | em,mechanics,thermo | m·ℓ⁻²·Θ·c·i⁻¹·B⁻¹ | m = k₀ · ℓ²·Θ⁻¹·c⁻¹·i·B | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "temperature": "1", "specific_heat": "1", "current": "-1", "bfield": "-1"} |
6 | current,length,mass,permittivity,specific_heat,temperature | m·ℓ·Θ·c·i·ε | em,mechanics,thermo | m·ℓ⁻¹·Θ²·c²·i⁻²·ε | m = k₀ · ℓ·Θ⁻²·c⁻²·i²·ε⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "temperature": "2", "specific_heat": "2", "current": "-2", "permittivity": "1"} |
6 | current,length,mass,permeability,specific_heat,temperature | m·ℓ·Θ·c·i·μ₀ | em,mechanics,thermo | m·ℓ⁻¹·Θ·c·i⁻²·μ₀⁻¹ | m = k₀ · ℓ·Θ⁻¹·c⁻¹·i²·μ₀ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "temperature": "1", "specific_heat": "1", "current": "-2", "permeability": "-1"} |
6 | length,mass,resistance,specific_heat,temperature,voltage | m·ℓ·Θ·c·U·R | em,mechanics,thermo | m²·ℓ⁻²·Θ³·c³·U⁻⁴·R² | m = k₀ · ℓ·Θ⁻³ᐟ²·c⁻³ᐟ²·U²·R⁻¹ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-2", "temperature": "3", "specific_heat": "3", "voltage": "-4", "resistance": "2"} |
6 | inductance,length,mass,specific_heat,temperature,voltage | m·ℓ·Θ·c·U·L_e | em,mechanics,thermo | m·ℓ⁻²·Θ²·c²·U⁻²·L_e | m = k₀ · ℓ²·Θ⁻²·c⁻²·U²·L_e⁻¹ | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "-2", "temperature": "2", "specific_heat": "2", "voltage": "-2", "inductance": "1"} |
6 | length,mass,permittivity,specific_heat,temperature,voltage | m·ℓ·Θ·c·U·ε | em,mechanics,thermo | m·ℓ⁻¹·Θ·c·U⁻²·ε⁻¹ | m = k₀ · ℓ·Θ⁻¹·c⁻¹·U²·ε | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "temperature": "1", "specific_heat": "1", "voltage": "-2", "permittivity": "-1"} |
6 | length,mass,permeability,specific_heat,temperature,voltage | m·ℓ·Θ·c·U·μ₀ | em,mechanics,thermo | m·ℓ⁻¹·Θ²·c²·U⁻²·μ₀ | m = k₀ · ℓ·Θ⁻²·c⁻²·U²·μ₀⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "temperature": "2", "specific_heat": "2", "voltage": "-2", "permeability": "1"} |
6 | conductivity,length,mass,specific_heat,temperature,voltage | m·ℓ·Θ·c·U·σ | em,mechanics,thermo | m²·ℓ⁻⁴·Θ³·c³·U⁻⁴·σ⁻² | m = k₀ · ℓ²·Θ⁻³ᐟ²·c⁻³ᐟ²·U²·σ | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "length": "-4", "temperature": "3", "specific_heat": "3", "voltage": "-4", "conductivity": "-2"} |
6 | length,mass,resistivity,specific_heat,temperature,voltage | m·ℓ·Θ·c·U·ρ_e | em,mechanics,thermo | m²·ℓ⁻⁴·Θ³·c³·U⁻⁴·ρ_e² | m = k₀ · ℓ²·Θ⁻³ᐟ²·c⁻³ᐟ²·U²·ρ_e⁻¹ | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "length": "-4", "temperature": "3", "specific_heat": "3", "voltage": "-4", "resistivity": "2"} |
6 | efield,length,mass,resistance,specific_heat,temperature | m·ℓ·Θ·c·R·E_f | em,mechanics,thermo | m²·ℓ⁻⁶·Θ³·c³·R²·E_f⁻⁴ | m = k₀ · ℓ³·Θ⁻³ᐟ²·c⁻³ᐟ²·R⁻¹·E_f² | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "2", "length": "-6", "temperature": "3", "specific_heat": "3", "resistance": "2", "efield": "-4"} |
6 | bfield,length,mass,resistance,specific_heat,temperature | m·ℓ·Θ·c·R·B | em,mechanics,thermo | m²·ℓ⁻⁶·Θ·c·R²·B⁻⁴ | Θ = k₀ · m⁻²·ℓ⁶·c⁻¹·R⁻²·B⁴ | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "2", "length": "-6", "temperature": "1", "specific_heat": "1", "resistance": "2", "bfield": "-4"} |
6 | length,mag_flux,mass,resistance,specific_heat,temperature | m·ℓ·Θ·c·R·Φ | em,mechanics,thermo | m²·ℓ²·Θ·c·R²·Φ⁻⁴ | Θ = k₀ · m⁻²·ℓ⁻²·c⁻¹·R⁻²·Φ⁴ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "2", "temperature": "1", "specific_heat": "1", "resistance": "2", "mag_flux": "-4"} |
6 | elem_charge,length,mass,resistance,specific_heat,temperature | m·ℓ·Θ·c·R·e | constants,em,mechanics,thermo | m²·ℓ²·Θ·c·R⁻²·e⁻⁴ | Θ = k₀ · m⁻²·ℓ⁻²·c⁻¹·R²·e⁴ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "2", "length": "2", "temperature": "1", "specific_heat": "1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,efield,length,mass,specific_heat,temperature | m·ℓ·Θ·c·C_e·E_f | em,mechanics,thermo | m·ℓ⁻²·Θ·c·C_e⁻¹·E_f⁻² | m = k₀ · ℓ²·Θ⁻¹·c⁻¹·C_e·E_f² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "temperature": "1", "specific_heat": "1", "capacitance": "-1", "efield": "-2"} |
6 | efield,inductance,length,mass,specific_heat,temperature | m·ℓ·Θ·c·L_e·E_f | em,mechanics,thermo | m·ℓ⁻⁴·Θ²·c²·L_e·E_f⁻² | m = k₀ · ℓ⁴·Θ⁻²·c⁻²·L_e⁻¹·E_f² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-4", "temperature": "2", "specific_heat": "2", "inductance": "1", "efield": "-2"} |
6 | bfield,inductance,length,mass,specific_heat,temperature | m·ℓ·Θ·c·L_e·B | em,mechanics,thermo | m·ℓ⁻⁴·Θ·c·L_e·B⁻² | m = k₀ · ℓ⁴·Θ⁻¹·c⁻¹·L_e⁻¹·B² | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "length": "-4", "temperature": "1", "specific_heat": "1", "inductance": "1", "bfield": "-2"} |
6 | efield,length,mass,permittivity,specific_heat,temperature | m·ℓ·Θ·c·E_f·ε | em,mechanics,thermo | m·ℓ⁻³·Θ·c·E_f⁻²·ε⁻¹ | m = k₀ · ℓ³·Θ⁻¹·c⁻¹·E_f²·ε | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "temperature": "1", "specific_heat": "1", "efield": "-2", "permittivity": "-1"} |
6 | efield,length,mass,permeability,specific_heat,temperature | m·ℓ·Θ·c·E_f·μ₀ | em,mechanics,thermo | m·ℓ⁻³·Θ²·c²·E_f⁻²·μ₀ | m = k₀ · ℓ³·Θ⁻²·c⁻²·E_f²·μ₀⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "temperature": "2", "specific_heat": "2", "efield": "-2", "permeability": "1"} |
6 | conductivity,efield,length,mass,specific_heat,temperature | m·ℓ·Θ·c·E_f·σ | em,mechanics,thermo | m²·ℓ⁻⁸·Θ³·c³·E_f⁻⁴·σ⁻² | m = k₀ · ℓ⁴·Θ⁻³ᐟ²·c⁻³ᐟ²·E_f²·σ | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "2", "length": "-8", "temperature": "3", "specific_heat": "3", "efield": "-4", "conductivity": "-2"} |
6 | efield,length,mass,resistivity,specific_heat,temperature | m·ℓ·Θ·c·E_f·ρ_e | em,mechanics,thermo | m²·ℓ⁻⁸·Θ³·c³·E_f⁻⁴·ρ_e² | m = k₀ · ℓ⁴·Θ⁻³ᐟ²·c⁻³ᐟ²·E_f²·ρ_e⁻¹ | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "2", "length": "-8", "temperature": "3", "specific_heat": "3", "efield": "-4", "resistivity": "2"} |
6 | efield,elem_charge,length,mass,specific_heat,temperature | m·ℓ·Θ·c·E_f·e | constants,em,mechanics,thermo | m·ℓ⁻¹·Θ·c·E_f⁻¹·e⁻¹ | m = k₀ · ℓ·Θ⁻¹·c⁻¹·E_f·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "temperature": "1", "specific_heat": "1", "efield": "-1", "elem_charge": "-1"} |
6 | bfield,length,mass,permeability,specific_heat,temperature | m·ℓ·Θ·c·B·μ₀ | em,mechanics,thermo | m·ℓ⁻³·Θ·c·B⁻²·μ₀ | m = k₀ · ℓ³·Θ⁻¹·c⁻¹·B²·μ₀⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "temperature": "1", "specific_heat": "1", "bfield": "-2", "permeability": "1"} |
6 | bfield,conductivity,length,mass,specific_heat,temperature | m·ℓ·Θ·c·B·σ | em,mechanics,thermo | m²·ℓ⁻⁸·Θ·c·B⁻⁴·σ⁻² | Θ = k₀ · m⁻²·ℓ⁸·c⁻¹·B⁴·σ² | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "2", "length": "-8", "temperature": "1", "specific_heat": "1", "bfield": "-4", "conductivity": "-2"} |
6 | bfield,length,mass,resistivity,specific_heat,temperature | m·ℓ·Θ·c·B·ρ_e | em,mechanics,thermo | m²·ℓ⁻⁸·Θ·c·B⁻⁴·ρ_e² | Θ = k₀ · m⁻²·ℓ⁸·c⁻¹·B⁴·ρ_e⁻² | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "2", "length": "-8", "temperature": "1", "specific_heat": "1", "bfield": "-4", "resistivity": "2"} |
6 | bfield,elem_charge,length,mass,specific_heat,temperature | m·ℓ·Θ·c·B·e | constants,em,mechanics,thermo | m²·ℓ⁻²·Θ·c·B⁻²·e⁻² | Θ = k₀ · m⁻²·ℓ²·c⁻¹·B²·e² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "length": "-2", "temperature": "1", "specific_heat": "1", "bfield": "-2", "elem_charge": "-2"} |
6 | length,mag_flux,mass,permeability,specific_heat,temperature | m·ℓ·Θ·c·Φ·μ₀ | em,mechanics,thermo | m·ℓ·Θ·c·Φ⁻²·μ₀ | m = k₀ · ℓ⁻¹·Θ⁻¹·c⁻¹·Φ²·μ₀⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "1", "temperature": "1", "specific_heat": "1", "mag_flux": "-2", "permeability": "1"} |
6 | elem_charge,length,mag_flux,mass,specific_heat,temperature | m·ℓ·Θ·c·Φ·e | constants,em,mechanics,thermo | m²·ℓ²·Θ·c·Φ⁻²·e⁻² | Θ = k₀ · m⁻²·ℓ⁻²·c⁻¹·Φ²·e² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "length": "2", "temperature": "1", "specific_heat": "1", "mag_flux": "-2", "elem_charge": "-2"} |
6 | elem_charge,length,mass,permittivity,specific_heat,temperature | m·ℓ·Θ·c·ε·e | constants,em,mechanics,thermo | m·ℓ·Θ·c·ε·e⁻² | m = k₀ · ℓ⁻¹·Θ⁻¹·c⁻¹·ε⁻¹·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "1", "temperature": "1", "specific_heat": "1", "permittivity": "1", "elem_charge": "-2"} |
6 | conductivity,elem_charge,length,mass,specific_heat,temperature | m·ℓ·Θ·c·σ·e | constants,em,mechanics,thermo | m²·ℓ⁴·Θ·c·σ²·e⁻⁴ | Θ = k₀ · m⁻²·ℓ⁻⁴·c⁻¹·σ⁻²·e⁴ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "2", "length": "4", "temperature": "1", "specific_heat": "1", "conductivity": "2", "elem_charge": "-4"} |
6 | elem_charge,length,mass,resistivity,specific_heat,temperature | m·ℓ·Θ·c·ρ_e·e | constants,em,mechanics,thermo | m²·ℓ⁴·Θ·c·ρ_e⁻²·e⁻⁴ | Θ = k₀ · m⁻²·ℓ⁻⁴·c⁻¹·ρ_e²·e⁴ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "2", "length": "4", "temperature": "1", "specific_heat": "1", "resistivity": "-2", "elem_charge": "-4"} |
6 | cat_activity,length,mass,molar_mass,specific_heat,temperature | m·ℓ·Θ·c·M_m·z | chemistry,mechanics,thermo | m²·ℓ⁻²·Θ·c·M_m⁻²·z⁻² | Θ = k₀ · m⁻²·ℓ²·c⁻¹·M_m²·z² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "-2", "temperature": "1", "specific_heat": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,length,mass,molar_energy,specific_heat,temperature | m·ℓ·Θ·c·c_n·E_m | chemistry,mechanics,thermo | m·ℓ⁻³·Θ·c·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ³·Θ⁻¹·c⁻¹·c_n·E_m | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "-3", "temperature": "1", "specific_heat": "1", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,length,mass,molar_energy,specific_heat,temperature | m·ℓ·Θ·c·E_m·z | chemistry,mechanics,thermo | m²·ℓ⁻²·Θ³·c³·E_m⁻²·z⁻² | m = k₀ · ℓ·Θ⁻³ᐟ²·c⁻³ᐟ²·E_m·z | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "length": "-2", "temperature": "3", "specific_heat": "3", "molar_energy": "-2", "cat_activity": "-2"} |
6 | cat_activity,gas_constant,length,mass,specific_heat,temperature | m·ℓ·Θ·c·R·z | chemistry,mechanics,thermo | m²·ℓ⁻²·Θ·c³·R⁻²·z⁻² | Θ = k₀ · m⁻²·ℓ²·c⁻³·R²·z² | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "2", "length": "-2", "temperature": "1", "specific_heat": "3", "gas_constant": "-2", "cat_activity": "-2"} |
5 | grav_const,length,mass,specific_heat,temperature | m·ℓ·Θ·c·G | constants,mechanics,thermo | m·ℓ⁻¹·Θ⁻¹·c⁻¹·G | m = k₀ · ℓ·Θ·c·G⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "-1", "temperature": "-1", "specific_heat": "-1", "grav_const": "1"} |
5 | length,mass,planck,specific_heat,temperature | m·ℓ·Θ·c·h | constants,mechanics,thermo | m²·ℓ²·Θ·c·h⁻² | Θ = k₀ · m⁻²·ℓ⁻²·c⁻¹·h² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "2", "length": "2", "temperature": "1", "specific_heat": "1", "planck": "-2"} |
5 | length,mass,temperature,thermal_cond,thermal_diff | m·ℓ·Θ·κ·α | mechanics,thermo | m·ℓ⁻⁵·Θ⁻¹·κ⁻¹·α³ | m = k₀ · ℓ⁵·Θ·κ·α⁻³ | null | 0 | 2 | 5 | 11 | 9.8 | -0.3 | false | {"mass": "1", "length": "-5", "temperature": "-1", "thermal_cond": "-1", "thermal_diff": "3"} |
6 | charge,current,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·q·i | em,mechanics,thermo | m·ℓ·Θ⁻¹·κ⁻¹·q⁻³·i³ | m = k₀ · ℓ⁻¹·Θ·κ·q³·i⁻³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "charge": "-3", "current": "3"} |
6 | charge,length,mass,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·q·U | em,mechanics,thermo | m·ℓ⁴·Θ²·κ²·q⁻³·U⁻³ | m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·q³·U³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "charge": "-3", "voltage": "-3"} |
6 | charge,length,mass,resistance,temperature,thermal_cond | m·ℓ·Θ·κ·q·R | em,mechanics,thermo | m²·ℓ⁵·Θ·κ·q⁻⁶·R⁻³ | Θ = k₀ · m⁻²·ℓ⁻⁵·κ⁻¹·q⁶·R³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "2", "length": "5", "temperature": "1", "thermal_cond": "1", "charge": "-6", "resistance": "-3"} |
6 | capacitance,charge,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·q·C_e | em,mechanics,thermo | m·ℓ⁴·Θ²·κ²·q⁻⁶·C_e³ | m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·q⁶·C_e⁻³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "charge": "-6", "capacitance": "3"} |
6 | charge,efield,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·q·E_f | em,mechanics,thermo | m·ℓ·Θ²·κ²·q⁻³·E_f⁻³ | m = k₀ · ℓ⁻¹·Θ⁻²·κ⁻²·q³·E_f³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "length": "1", "temperature": "2", "thermal_cond": "2", "charge": "-3", "efield": "-3"} |
6 | bfield,charge,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·q·B | em,mechanics,thermo | m²·ℓ⁻¹·Θ·κ·q⁻³·B⁻³ | ℓ = k₀ · m²·Θ·κ·q⁻³·B⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "length": "-1", "temperature": "1", "thermal_cond": "1", "charge": "-3", "bfield": "-3"} |
6 | charge,length,mag_flux,mass,temperature,thermal_cond | m·ℓ·Θ·κ·q·Φ | em,mechanics,thermo | m²·ℓ⁵·Θ·κ·q⁻³·Φ⁻³ | Θ = k₀ · m⁻²·ℓ⁻⁵·κ⁻¹·q³·Φ³ | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "length": "5", "temperature": "1", "thermal_cond": "1", "charge": "-3", "mag_flux": "-3"} |
6 | charge,length,mass,permittivity,temperature,thermal_cond | m·ℓ·Θ·κ·q·ε | em,mechanics,thermo | m·ℓ⁷·Θ²·κ²·q⁻⁶·ε³ | m = k₀ · ℓ⁻⁷·Θ⁻²·κ⁻²·q⁶·ε⁻³ | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "1", "length": "7", "temperature": "2", "thermal_cond": "2", "charge": "-6", "permittivity": "3"} |
6 | charge,conductivity,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·q·σ | em,mechanics,thermo | m²·ℓ⁸·Θ·κ·q⁻⁶·σ³ | Θ = k₀ · m⁻²·ℓ⁻⁸·κ⁻¹·q⁶·σ⁻³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "2", "length": "8", "temperature": "1", "thermal_cond": "1", "charge": "-6", "conductivity": "3"} |
6 | charge,length,mass,resistivity,temperature,thermal_cond | m·ℓ·Θ·κ·q·ρ_e | em,mechanics,thermo | m²·ℓ⁸·Θ·κ·q⁻⁶·ρ_e⁻³ | Θ = k₀ · m⁻²·ℓ⁻⁸·κ⁻¹·q⁶·ρ_e³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "2", "length": "8", "temperature": "1", "thermal_cond": "1", "charge": "-6", "resistivity": "-3"} |
6 | capacitance,current,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·i·C_e | em,mechanics,thermo | m·ℓ⁻²·Θ⁻⁴·κ⁻⁴·i⁶·C_e⁻³ | m = k₀ · ℓ²·Θ⁴·κ⁴·i⁻⁶·C_e³ | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "1", "length": "-2", "temperature": "-4", "thermal_cond": "-4", "current": "6", "capacitance": "-3"} |
6 | current,inductance,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·i·L_e | em,mechanics,thermo | m·ℓ⁴·Θ²·κ²·i⁻⁶·L_e⁻³ | m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·i⁶·L_e³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "current": "-6", "inductance": "-3"} |
6 | bfield,current,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·i·B | em,mechanics,thermo | m·ℓ⁻²·Θ²·κ²·i⁻³·B⁻³ | m = k₀ · ℓ²·Θ⁻²·κ⁻²·i³·B³ | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "-2", "temperature": "2", "thermal_cond": "2", "current": "-3", "bfield": "-3"} |
6 | current,length,mag_flux,mass,temperature,thermal_cond | m·ℓ·Θ·κ·i·Φ | em,mechanics,thermo | m·ℓ⁴·Θ²·κ²·i⁻³·Φ⁻³ | m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·i³·Φ³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "current": "-3", "mag_flux": "-3"} |
6 | current,length,mass,permittivity,temperature,thermal_cond | m·ℓ·Θ·κ·i·ε | em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻⁴·κ⁻⁴·i⁶·ε⁻³ | m = k₀ · ℓ⁵·Θ⁴·κ⁴·i⁻⁶·ε³ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "length": "-5", "temperature": "-4", "thermal_cond": "-4", "current": "6", "permittivity": "-3"} |
6 | current,length,mass,permeability,temperature,thermal_cond | m·ℓ·Θ·κ·i·μ₀ | em,mechanics,thermo | m·ℓ·Θ²·κ²·i⁻⁶·μ₀⁻³ | m = k₀ · ℓ⁻¹·Θ⁻²·κ⁻²·i⁶·μ₀³ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "1", "temperature": "2", "thermal_cond": "2", "current": "-6", "permeability": "-3"} |
6 | current,elem_charge,length,mass,temperature,thermal_cond | m·ℓ·Θ·κ·i·e | constants,em,mechanics,thermo | m·ℓ·Θ⁻¹·κ⁻¹·i³·e⁻³ | m = k₀ · ℓ⁻¹·Θ·κ·i⁻³·e³ | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "current": "3", "elem_charge": "-3"} |
6 | capacitance,length,mass,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·C_e | em,mechanics,thermo | m·ℓ⁴·Θ²·κ²·U⁻⁶·C_e⁻³ | m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·U⁶·C_e³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "voltage": "-6", "capacitance": "-3"} |
6 | inductance,length,mass,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·L_e | em,mechanics,thermo | m·ℓ⁻²·Θ⁻⁴·κ⁻⁴·U⁶·L_e⁻³ | m = k₀ · ℓ²·Θ⁴·κ⁴·U⁻⁶·L_e³ | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "1", "length": "-2", "temperature": "-4", "thermal_cond": "-4", "voltage": "6", "inductance": "-3"} |
6 | bfield,length,mass,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·B | em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻¹·κ⁻¹·U³·B⁻³ | m = k₀ · ℓ⁵·Θ·κ·U⁻³·B³ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "temperature": "-1", "thermal_cond": "-1", "voltage": "3", "bfield": "-3"} |
6 | length,mag_flux,mass,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·Φ | em,mechanics,thermo | m·ℓ·Θ⁻¹·κ⁻¹·U³·Φ⁻³ | m = k₀ · ℓ⁻¹·Θ·κ·U⁻³·Φ³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "voltage": "3", "mag_flux": "-3"} |
6 | length,mass,permittivity,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·ε | em,mechanics,thermo | m·ℓ·Θ²·κ²·U⁻⁶·ε⁻³ | m = k₀ · ℓ⁻¹·Θ⁻²·κ⁻²·U⁶·ε³ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "1", "temperature": "2", "thermal_cond": "2", "voltage": "-6", "permittivity": "-3"} |
6 | length,mass,permeability,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·μ₀ | em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻⁴·κ⁻⁴·U⁶·μ₀⁻³ | m = k₀ · ℓ⁵·Θ⁴·κ⁴·U⁻⁶·μ₀³ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "length": "-5", "temperature": "-4", "thermal_cond": "-4", "voltage": "6", "permeability": "-3"} |
6 | elem_charge,length,mass,temperature,thermal_cond,voltage | m·ℓ·Θ·κ·U·e | constants,em,mechanics,thermo | m·ℓ⁴·Θ²·κ²·U⁻³·e⁻³ | m = k₀ · ℓ⁻⁴·Θ⁻²·κ⁻²·U³·e³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "length": "4", "temperature": "2", "thermal_cond": "2", "voltage": "-3", "elem_charge": "-3"} |
6 | capacitance,length,mass,resistance,temperature,thermal_cond | m·ℓ·Θ·κ·R·C_e | em,mechanics,thermo | m·ℓ·Θ⁻¹·κ⁻¹·R⁻³·C_e⁻³ | m = k₀ · ℓ⁻¹·Θ·κ·R³·C_e³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "resistance": "-3", "capacitance": "-3"} |
6 | inductance,length,mass,resistance,temperature,thermal_cond | m·ℓ·Θ·κ·R·L_e | em,mechanics,thermo | m·ℓ·Θ⁻¹·κ⁻¹·R³·L_e⁻³ | m = k₀ · ℓ⁻¹·Θ·κ·R⁻³·L_e³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "temperature": "-1", "thermal_cond": "-1", "resistance": "3", "inductance": "-3"} |
6 | bfield,length,mass,resistance,temperature,thermal_cond | m·ℓ·Θ·κ·R·B | em,mechanics,thermo | m²·ℓ⁻⁷·Θ·κ·R³·B⁻⁶ | Θ = k₀ · m⁻²·ℓ⁷·κ⁻¹·R⁻³·B⁶ | null | 0 | 3 | 7 | 20 | 18 | -9 | false | {"mass": "2", "length": "-7", "temperature": "1", "thermal_cond": "1", "resistance": "3", "bfield": "-6"} |
6 | length,mag_flux,mass,resistance,temperature,thermal_cond | m·ℓ·Θ·κ·R·Φ | em,mechanics,thermo | m²·ℓ⁵·Θ·κ·R³·Φ⁻⁶ | Θ = k₀ · m⁻²·ℓ⁻⁵·κ⁻¹·R⁻³·Φ⁶ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "2", "length": "5", "temperature": "1", "thermal_cond": "1", "resistance": "3", "mag_flux": "-6"} |
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