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 | cat_activity,gas_constant,grav_const,heat_capacity,length,mass | m·ℓ·C·R·z·G | chemistry,constants,mechanics,thermo | m·ℓ⁻³·C²·R⁻²·z⁻²·G | m = k₀ · ℓ³·C⁻²·R²·z²·G⁻¹ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "-3", "heat_capacity": "2", "gas_constant": "-2", "cat_activity": "-2", "grav_const": "1"} |
6 | cat_activity,gas_constant,heat_capacity,length,mass,planck | m·ℓ·C·R·z·h | chemistry,constants,mechanics,thermo | m·ℓ²·C⁻¹·R·z·h⁻¹ | m = k₀ · ℓ⁻²·C·R⁻¹·z⁻¹·h | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "gas_constant": "1", "cat_activity": "1", "planck": "-1"} |
5 | length,mass,specific_heat,thermal_cond,thermal_diff | m·ℓ·c·κ·α | mechanics,thermo | m·ℓ⁻³·c·κ⁻¹·α | m = k₀ · ℓ³·c⁻¹·κ·α⁻¹ | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "length": "-3", "specific_heat": "1", "thermal_cond": "-1", "thermal_diff": "1"} |
5 | expansion,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·β | mechanics,thermo | m²·ℓ⁻⁴·c³·κ⁻²·β⁻¹ | β = k₀ · m²·ℓ⁻⁴·c³·κ⁻² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "thermal_cond": "-2", "expansion": "-1"} |
6 | charge,current,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·q·i | em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·q⁻¹·i | m = k₀ · ℓ·c⁻¹·κ·q·i⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "charge": "-1", "current": "1"} |
6 | charge,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·q·U | em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·q·U | m = k₀ · ℓ⁴·c⁻²·κ²·q⁻¹·U⁻¹ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "charge": "1", "voltage": "1"} |
6 | capacitance,charge,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·q·C_e | em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·q²·C_e⁻¹ | m = k₀ · ℓ⁴·c⁻²·κ²·q⁻²·C_e | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "charge": "2", "capacitance": "-1"} |
6 | charge,efield,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·q·E_f | em,mechanics,thermo | m·ℓ⁻³·c²·κ⁻²·q·E_f | m = k₀ · ℓ³·c⁻²·κ²·q⁻¹·E_f⁻¹ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-3", "specific_heat": "2", "thermal_cond": "-2", "charge": "1", "efield": "1"} |
6 | charge,length,mass,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·q·ε | em,mechanics,thermo | m·ℓ⁻⁵·c²·κ⁻²·q²·ε⁻¹ | m = k₀ · ℓ⁵·c⁻²·κ²·q⁻²·ε | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "1", "length": "-5", "specific_heat": "2", "thermal_cond": "-2", "charge": "2", "permittivity": "-1"} |
6 | current,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·i·U | em,mechanics,thermo | m²·ℓ⁻⁵·c³·κ⁻³·i·U | i = k₀ · m⁻²·ℓ⁵·c⁻³·κ³·U⁻¹ | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "length": "-5", "specific_heat": "3", "thermal_cond": "-3", "current": "1", "voltage": "1"} |
6 | current,length,mass,resistance,specific_heat,thermal_cond | m·ℓ·c·κ·i·R | em,mechanics,thermo | m²·ℓ⁻⁵·c³·κ⁻³·i²·R | R = k₀ · m⁻²·ℓ⁵·c⁻³·κ³·i⁻² | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "2", "length": "-5", "specific_heat": "3", "thermal_cond": "-3", "current": "2", "resistance": "1"} |
6 | capacitance,current,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·C_e | em,mechanics,thermo | m³·ℓ⁻⁶·c⁴·κ⁻⁴·i²·C_e⁻¹ | C_e = k₀ · m³·ℓ⁻⁶·c⁴·κ⁻⁴·i² | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "3", "length": "-6", "specific_heat": "4", "thermal_cond": "-4", "current": "2", "capacitance": "-1"} |
6 | current,inductance,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·L_e | em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·i²·L_e | m = k₀ · ℓ⁴·c⁻²·κ²·i⁻²·L_e⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "current": "2", "inductance": "1"} |
6 | current,efield,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·E_f | em,mechanics,thermo | m²·ℓ⁻⁴·c³·κ⁻³·i·E_f | i = k₀ · m⁻²·ℓ⁴·c⁻³·κ³·E_f⁻¹ | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "thermal_cond": "-3", "current": "1", "efield": "1"} |
6 | bfield,current,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·B | em,mechanics,thermo | m·ℓ⁻²·c²·κ⁻²·i·B | m = k₀ · ℓ²·c⁻²·κ²·i⁻¹·B⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "specific_heat": "2", "thermal_cond": "-2", "current": "1", "bfield": "1"} |
6 | current,length,mag_flux,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·Φ | em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·i·Φ | m = k₀ · ℓ⁴·c⁻²·κ²·i⁻¹·Φ⁻¹ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "current": "1", "mag_flux": "1"} |
6 | current,length,mass,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·i·ε | em,mechanics,thermo | m³·ℓ⁻⁷·c⁴·κ⁻⁴·i²·ε⁻¹ | ε = k₀ · m³·ℓ⁻⁷·c⁴·κ⁻⁴·i² | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "3", "length": "-7", "specific_heat": "4", "thermal_cond": "-4", "current": "2", "permittivity": "-1"} |
6 | current,length,mass,permeability,specific_heat,thermal_cond | m·ℓ·c·κ·i·μ₀ | em,mechanics,thermo | m·ℓ⁻³·c²·κ⁻²·i²·μ₀ | m = k₀ · ℓ³·c⁻²·κ²·i⁻²·μ₀⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "specific_heat": "2", "thermal_cond": "-2", "current": "2", "permeability": "1"} |
6 | conductivity,current,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·σ | em,mechanics,thermo | m²·ℓ⁻⁶·c³·κ⁻³·i²·σ⁻¹ | σ = k₀ · m²·ℓ⁻⁶·c³·κ⁻³·i² | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "2", "length": "-6", "specific_heat": "3", "thermal_cond": "-3", "current": "2", "conductivity": "-1"} |
6 | current,length,mass,resistivity,specific_heat,thermal_cond | m·ℓ·c·κ·i·ρ_e | em,mechanics,thermo | m²·ℓ⁻⁶·c³·κ⁻³·i²·ρ_e | ρ_e = k₀ · m⁻²·ℓ⁶·c⁻³·κ³·i⁻² | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "2", "length": "-6", "specific_heat": "3", "thermal_cond": "-3", "current": "2", "resistivity": "1"} |
6 | current,elem_charge,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·i·e | constants,em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·i·e⁻¹ | m = k₀ · ℓ·c⁻¹·κ·i⁻¹·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "current": "1", "elem_charge": "-1"} |
6 | length,mass,resistance,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·R | em,mechanics,thermo | m²·ℓ⁻⁵·c³·κ⁻³·U²·R⁻¹ | R = k₀ · m²·ℓ⁻⁵·c³·κ⁻³·U² | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "2", "length": "-5", "specific_heat": "3", "thermal_cond": "-3", "voltage": "2", "resistance": "-1"} |
6 | capacitance,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·C_e | em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·U²·C_e | m = k₀ · ℓ⁴·c⁻²·κ²·U⁻²·C_e⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "voltage": "2", "capacitance": "1"} |
6 | inductance,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·L_e | em,mechanics,thermo | m³·ℓ⁻⁶·c⁴·κ⁻⁴·U²·L_e⁻¹ | L_e = k₀ · m³·ℓ⁻⁶·c⁴·κ⁻⁴·U² | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "3", "length": "-6", "specific_heat": "4", "thermal_cond": "-4", "voltage": "2", "inductance": "-1"} |
6 | bfield,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·B | em,mechanics,thermo | m·ℓ⁻³·c·κ⁻¹·U·B⁻¹ | m = k₀ · ℓ³·c⁻¹·κ·U⁻¹·B | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "-3", "specific_heat": "1", "thermal_cond": "-1", "voltage": "1", "bfield": "-1"} |
6 | length,mag_flux,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·Φ | em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·U·Φ⁻¹ | m = k₀ · ℓ·c⁻¹·κ·U⁻¹·Φ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "voltage": "1", "mag_flux": "-1"} |
6 | length,mass,permittivity,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·ε | em,mechanics,thermo | m·ℓ⁻³·c²·κ⁻²·U²·ε | m = k₀ · ℓ³·c⁻²·κ²·U⁻²·ε⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "specific_heat": "2", "thermal_cond": "-2", "voltage": "2", "permittivity": "1"} |
6 | length,mass,permeability,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·μ₀ | em,mechanics,thermo | m³·ℓ⁻⁷·c⁴·κ⁻⁴·U²·μ₀⁻¹ | μ₀ = k₀ · m³·ℓ⁻⁷·c⁴·κ⁻⁴·U² | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "3", "length": "-7", "specific_heat": "4", "thermal_cond": "-4", "voltage": "2", "permeability": "-1"} |
6 | conductivity,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·σ | em,mechanics,thermo | m²·ℓ⁻⁴·c³·κ⁻³·U²·σ | σ = k₀ · m⁻²·ℓ⁴·c⁻³·κ³·U⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "thermal_cond": "-3", "voltage": "2", "conductivity": "1"} |
6 | length,mass,resistivity,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·ρ_e | em,mechanics,thermo | m²·ℓ⁻⁴·c³·κ⁻³·U²·ρ_e⁻¹ | ρ_e = k₀ · m²·ℓ⁻⁴·c³·κ⁻³·U² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "thermal_cond": "-3", "voltage": "2", "resistivity": "-1"} |
6 | elem_charge,length,mass,specific_heat,thermal_cond,voltage | m·ℓ·c·κ·U·e | constants,em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·U·e | m = k₀ · ℓ⁴·c⁻²·κ²·U⁻¹·e⁻¹ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "voltage": "1", "elem_charge": "1"} |
6 | capacitance,length,mass,resistance,specific_heat,thermal_cond | m·ℓ·c·κ·R·C_e | em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·R⁻¹·C_e⁻¹ | m = k₀ · ℓ·c⁻¹·κ·R·C_e | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "resistance": "-1", "capacitance": "-1"} |
6 | inductance,length,mass,resistance,specific_heat,thermal_cond | m·ℓ·c·κ·R·L_e | em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·R·L_e⁻¹ | m = k₀ · ℓ·c⁻¹·κ·R⁻¹·L_e | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "resistance": "1", "inductance": "-1"} |
6 | efield,length,mass,resistance,specific_heat,thermal_cond | m·ℓ·c·κ·R·E_f | em,mechanics,thermo | m²·ℓ⁻³·c³·κ⁻³·R⁻¹·E_f² | R = k₀ · m²·ℓ⁻³·c³·κ⁻³·E_f² | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "length": "-3", "specific_heat": "3", "thermal_cond": "-3", "resistance": "-1", "efield": "2"} |
6 | length,mass,permittivity,resistance,specific_heat,thermal_cond | m·ℓ·c·κ·R·ε | em,mechanics,thermo | m·ℓ⁻²·c·κ⁻¹·R⁻¹·ε⁻¹ | m = k₀ · ℓ²·c⁻¹·κ·R·ε | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_cond": "-1", "resistance": "-1", "permittivity": "-1"} |
6 | length,mass,permeability,resistance,specific_heat,thermal_cond | m·ℓ·c·κ·R·μ₀ | em,mechanics,thermo | m·ℓ⁻²·c·κ⁻¹·R·μ₀⁻¹ | m = k₀ · ℓ²·c⁻¹·κ·R⁻¹·μ₀ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_cond": "-1", "resistance": "1", "permeability": "-1"} |
6 | capacitance,inductance,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·C_e·L_e | em,mechanics,thermo | m²·ℓ⁻²·c²·κ⁻²·C_e⁻¹·L_e⁻¹ | C_e = k₀ · m²·ℓ⁻²·c²·κ⁻²·L_e⁻¹ | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "-2", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "-1", "inductance": "-1"} |
6 | capacitance,efield,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·C_e·E_f | em,mechanics,thermo | m·ℓ⁻²·c²·κ⁻²·C_e·E_f² | m = k₀ · ℓ²·c⁻²·κ²·C_e⁻¹·E_f⁻² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "-2", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "1", "efield": "2"} |
6 | capacitance,length,mass,permeability,specific_heat,thermal_cond | m·ℓ·c·κ·C_e·μ₀ | em,mechanics,thermo | m²·ℓ⁻³·c²·κ⁻²·C_e⁻¹·μ₀⁻¹ | C_e = k₀ · m²·ℓ⁻³·c²·κ⁻²·μ₀⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "length": "-3", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "-1", "permeability": "-1"} |
6 | capacitance,elem_charge,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·C_e·e | constants,em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·C_e⁻¹·e² | m = k₀ · ℓ⁴·c⁻²·κ²·C_e·e⁻² | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "capacitance": "-1", "elem_charge": "2"} |
6 | efield,inductance,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·L_e·E_f | em,mechanics,thermo | m³·ℓ⁻⁴·c⁴·κ⁻⁴·L_e⁻¹·E_f² | L_e = k₀ · m³·ℓ⁻⁴·c⁴·κ⁻⁴·E_f² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "3", "length": "-4", "specific_heat": "4", "thermal_cond": "-4", "inductance": "-1", "efield": "2"} |
6 | inductance,length,mag_flux,mass,specific_heat,thermal_cond | m·ℓ·c·κ·L_e·Φ | em,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·L_e⁻¹·Φ² | m = k₀ · ℓ⁴·c⁻²·κ²·L_e·Φ⁻² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "inductance": "-1", "mag_flux": "2"} |
6 | inductance,length,mass,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·L_e·ε | em,mechanics,thermo | m²·ℓ⁻³·c²·κ⁻²·L_e⁻¹·ε⁻¹ | L_e = k₀ · m²·ℓ⁻³·c²·κ⁻²·ε⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "length": "-3", "specific_heat": "2", "thermal_cond": "-2", "inductance": "-1", "permittivity": "-1"} |
6 | conductivity,inductance,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·L_e·σ | em,mechanics,thermo | m·ℓ⁻²·c·κ⁻¹·L_e⁻¹·σ⁻¹ | m = k₀ · ℓ²·c⁻¹·κ·L_e·σ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_cond": "-1", "inductance": "-1", "conductivity": "-1"} |
6 | inductance,length,mass,resistivity,specific_heat,thermal_cond | m·ℓ·c·κ·L_e·ρ_e | em,mechanics,thermo | m·ℓ⁻²·c·κ⁻¹·L_e⁻¹·ρ_e | m = k₀ · ℓ²·c⁻¹·κ·L_e·ρ_e⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_cond": "-1", "inductance": "-1", "resistivity": "1"} |
6 | bfield,efield,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·E_f·B | em,mechanics,thermo | m·ℓ⁻²·c·κ⁻¹·E_f·B⁻¹ | m = k₀ · ℓ²·c⁻¹·κ·E_f⁻¹·B | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_cond": "-1", "efield": "1", "bfield": "-1"} |
6 | efield,length,mass,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·E_f·ε | em,mechanics,thermo | m·ℓ⁻¹·c²·κ⁻²·E_f²·ε | m = k₀ · ℓ·c⁻²·κ²·E_f⁻²·ε⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "specific_heat": "2", "thermal_cond": "-2", "efield": "2", "permittivity": "1"} |
6 | efield,length,mass,permeability,specific_heat,thermal_cond | m·ℓ·c·κ·E_f·μ₀ | em,mechanics,thermo | m³·ℓ⁻⁵·c⁴·κ⁻⁴·E_f²·μ₀⁻¹ | μ₀ = k₀ · m³·ℓ⁻⁵·c⁴·κ⁻⁴·E_f² | null | 0 | 3 | 5 | 19 | 16.3 | -7.3 | false | {"mass": "3", "length": "-5", "specific_heat": "4", "thermal_cond": "-4", "efield": "2", "permeability": "-1"} |
6 | conductivity,efield,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·E_f·σ | em,mechanics,thermo | m²·ℓ⁻²·c³·κ⁻³·E_f²·σ | σ = k₀ · m⁻²·ℓ²·c⁻³·κ³·E_f⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "length": "-2", "specific_heat": "3", "thermal_cond": "-3", "efield": "2", "conductivity": "1"} |
6 | efield,length,mass,resistivity,specific_heat,thermal_cond | m·ℓ·c·κ·E_f·ρ_e | em,mechanics,thermo | m²·ℓ⁻²·c³·κ⁻³·E_f²·ρ_e⁻¹ | ρ_e = k₀ · m²·ℓ⁻²·c³·κ⁻³·E_f² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "length": "-2", "specific_heat": "3", "thermal_cond": "-3", "efield": "2", "resistivity": "-1"} |
6 | efield,elem_charge,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·E_f·e | constants,em,mechanics,thermo | m·ℓ⁻³·c²·κ⁻²·E_f·e | m = k₀ · ℓ³·c⁻²·κ²·E_f⁻¹·e⁻¹ | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "length": "-3", "specific_heat": "2", "thermal_cond": "-2", "efield": "1", "elem_charge": "1"} |
6 | bfield,length,mass,permeability,specific_heat,thermal_cond | m·ℓ·c·κ·B·μ₀ | em,mechanics,thermo | m·ℓ⁻¹·c²·κ⁻²·B²·μ₀⁻¹ | m = k₀ · ℓ·c⁻²·κ²·B⁻²·μ₀ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "specific_heat": "2", "thermal_cond": "-2", "bfield": "2", "permeability": "-1"} |
6 | length,mag_flux,mass,permeability,specific_heat,thermal_cond | m·ℓ·c·κ·Φ·μ₀ | em,mechanics,thermo | m·ℓ⁻⁵·c²·κ⁻²·Φ²·μ₀⁻¹ | m = k₀ · ℓ⁵·c⁻²·κ²·Φ⁻²·μ₀ | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "1", "length": "-5", "specific_heat": "2", "thermal_cond": "-2", "mag_flux": "2", "permeability": "-1"} |
6 | length,mass,permeability,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·ε·μ₀ | em,mechanics,thermo | m²·ℓ⁻⁴·c²·κ⁻²·ε⁻¹·μ₀⁻¹ | ε = k₀ · m²·ℓ⁻⁴·c²·κ⁻²·μ₀⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "permittivity": "-1", "permeability": "-1"} |
6 | conductivity,length,mass,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·ε·σ | em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·ε⁻¹·σ | m = k₀ · ℓ·c⁻¹·κ·ε·σ⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "permittivity": "-1", "conductivity": "1"} |
6 | length,mass,permittivity,resistivity,specific_heat,thermal_cond | m·ℓ·c·κ·ε·ρ_e | em,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·ε⁻¹·ρ_e⁻¹ | m = k₀ · ℓ·c⁻¹·κ·ε·ρ_e | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "permittivity": "-1", "resistivity": "-1"} |
6 | elem_charge,length,mass,permittivity,specific_heat,thermal_cond | m·ℓ·c·κ·ε·e | constants,em,mechanics,thermo | m·ℓ⁻⁵·c²·κ⁻²·ε⁻¹·e² | m = k₀ · ℓ⁵·c⁻²·κ²·ε·e⁻² | null | 1 | 4 | 5 | 13 | 12.7 | -4.2 | false | {"mass": "1", "length": "-5", "specific_heat": "2", "thermal_cond": "-2", "permittivity": "-1", "elem_charge": "2"} |
6 | conductivity,length,mass,permeability,specific_heat,thermal_cond | m·ℓ·c·κ·μ₀·σ | em,mechanics,thermo | m·ℓ⁻³·c·κ⁻¹·μ₀⁻¹·σ⁻¹ | m = k₀ · ℓ³·c⁻¹·κ·μ₀·σ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "-3", "specific_heat": "1", "thermal_cond": "-1", "permeability": "-1", "conductivity": "-1"} |
6 | length,mass,permeability,resistivity,specific_heat,thermal_cond | m·ℓ·c·κ·μ₀·ρ_e | em,mechanics,thermo | m·ℓ⁻³·c·κ⁻¹·μ₀⁻¹·ρ_e | m = k₀ · ℓ³·c⁻¹·κ·μ₀·ρ_e⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "-3", "specific_heat": "1", "thermal_cond": "-1", "permeability": "-1", "resistivity": "1"} |
6 | amount,length,mass,molar_energy,specific_heat,thermal_cond | m·ℓ·c·κ·n·E_m | chemistry,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·n·E_m | m = k₀ · ℓ⁴·c⁻²·κ²·n⁻¹·E_m⁻¹ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "amount": "1", "molar_energy": "1"} |
6 | amount,cat_activity,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·n·z | chemistry,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·n⁻¹·z | m = k₀ · ℓ·c⁻¹·κ·n·z⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "amount": "-1", "cat_activity": "1"} |
6 | length,mass,molar_energy,molar_mass,specific_heat,thermal_cond | m·ℓ·c·κ·M_m·E_m | chemistry,mechanics,thermo | m²·ℓ⁻⁴·c²·κ⁻²·M_m⁻¹·E_m | M_m = k₀ · m²·ℓ⁻⁴·c²·κ⁻²·E_m | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "molar_mass": "-1", "molar_energy": "1"} |
6 | concentration,length,mass,molar_energy,specific_heat,thermal_cond | m·ℓ·c·κ·c_n·E_m | chemistry,mechanics,thermo | m·ℓ⁻¹·c²·κ⁻²·c_n·E_m | m = k₀ · ℓ·c⁻²·κ²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-1", "specific_heat": "2", "thermal_cond": "-2", "concentration": "1", "molar_energy": "1"} |
6 | cat_activity,concentration,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·c_n·z | chemistry,mechanics,thermo | m·ℓ⁻⁴·c·κ⁻¹·c_n⁻¹·z | m = k₀ · ℓ⁴·c⁻¹·κ·c_n·z⁻¹ | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "length": "-4", "specific_heat": "1", "thermal_cond": "-1", "concentration": "-1", "cat_activity": "1"} |
6 | gas_constant,length,mass,molar_energy,specific_heat,thermal_cond | m·ℓ·c·κ·E_m·R | chemistry,mechanics,thermo | m²·ℓ⁻⁴·c³·κ⁻²·E_m·R⁻¹ | E_m = k₀ · m⁻²·ℓ⁴·c⁻³·κ²·R | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "thermal_cond": "-2", "molar_energy": "1", "gas_constant": "-1"} |
6 | cat_activity,length,mass,molar_energy,specific_heat,thermal_cond | m·ℓ·c·κ·E_m·z | chemistry,mechanics,thermo | m²·ℓ⁻⁵·c³·κ⁻³·E_m·z | E_m = k₀ · m⁻²·ℓ⁵·c⁻³·κ³·z⁻¹ | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "length": "-5", "specific_heat": "3", "thermal_cond": "-3", "molar_energy": "1", "cat_activity": "1"} |
6 | avogadro,length,mass,molar_energy,specific_heat,thermal_cond | m·ℓ·c·κ·E_m·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁻⁴·c²·κ⁻²·E_m·N_A⁻¹ | m = k₀ · ℓ⁴·c⁻²·κ²·E_m⁻¹·N_A | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "thermal_cond": "-2", "molar_energy": "1", "avogadro": "-1"} |
6 | avogadro,cat_activity,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·z·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁻¹·c·κ⁻¹·z·N_A | m = k₀ · ℓ·c⁻¹·κ·z⁻¹·N_A⁻¹ | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "thermal_cond": "-1", "cat_activity": "1", "avogadro": "1"} |
5 | length,light_speed,mass,specific_heat,thermal_cond | m·ℓ·c·κ·c₀ | constants,mechanics,thermo | m·ℓ⁻²·c·κ⁻¹·c₀ | m = k₀ · ℓ²·c⁻¹·κ·c₀⁻¹ | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_cond": "-1", "light_speed": "1"} |
5 | grav_const,length,mass,specific_heat,thermal_cond | m·ℓ·c·κ·G | constants,mechanics,thermo | m³·ℓ⁻⁵·c²·κ⁻²·G | G = k₀ · m⁻³·ℓ⁵·c⁻²·κ² | null | 1 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "3", "length": "-5", "specific_heat": "2", "thermal_cond": "-2", "grav_const": "1"} |
6 | cat_activity,gas_constant,length,mass,specific_heat,thermal_diff | m·ℓ·c·α·R·z | chemistry,mechanics,thermo | m·ℓ⁻²·c·α·R⁻¹·z⁻¹ | m = k₀ · ℓ²·c⁻¹·α⁻¹·R·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "thermal_diff": "1", "gas_constant": "-1", "cat_activity": "-1"} |
6 | charge,expansion,length,mass,resistance,specific_heat | m·ℓ·c·β·q·R | em,mechanics,thermo | m²·ℓ²·c·β⁻¹·q⁻⁴·R⁻² | c = k₀ · m⁻²·ℓ⁻²·β·q⁴·R² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "2", "specific_heat": "1", "expansion": "-1", "charge": "-4", "resistance": "-2"} |
6 | charge,efield,expansion,length,mass,specific_heat | m·ℓ·c·β·q·E_f | em,mechanics,thermo | m·ℓ⁻¹·c·β⁻¹·q⁻¹·E_f⁻¹ | m = k₀ · ℓ·c⁻¹·β·q·E_f | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "expansion": "-1", "charge": "-1", "efield": "-1"} |
6 | bfield,charge,expansion,length,mass,specific_heat | m·ℓ·c·β·q·B | em,mechanics,thermo | m²·ℓ⁻²·c·β⁻¹·q⁻²·B⁻² | c = k₀ · m⁻²·ℓ²·β·q²·B² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "-2", "specific_heat": "1", "expansion": "-1", "charge": "-2", "bfield": "-2"} |
6 | charge,expansion,length,mag_flux,mass,specific_heat | m·ℓ·c·β·q·Φ | em,mechanics,thermo | m²·ℓ²·c·β⁻¹·q⁻²·Φ⁻² | c = k₀ · m⁻²·ℓ⁻²·β·q²·Φ² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "2", "specific_heat": "1", "expansion": "-1", "charge": "-2", "mag_flux": "-2"} |
6 | charge,expansion,length,mass,permittivity,specific_heat | m·ℓ·c·β·q·ε | em,mechanics,thermo | m·ℓ·c·β⁻¹·q⁻²·ε | m = k₀ · ℓ⁻¹·c⁻¹·β·q²·ε⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "1", "specific_heat": "1", "expansion": "-1", "charge": "-2", "permittivity": "1"} |
6 | charge,conductivity,expansion,length,mass,specific_heat | m·ℓ·c·β·q·σ | em,mechanics,thermo | m²·ℓ⁴·c·β⁻¹·q⁻⁴·σ² | c = k₀ · m⁻²·ℓ⁻⁴·β·q⁴·σ⁻² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "length": "4", "specific_heat": "1", "expansion": "-1", "charge": "-4", "conductivity": "2"} |
6 | charge,expansion,length,mass,resistivity,specific_heat | m·ℓ·c·β·q·ρ_e | em,mechanics,thermo | m²·ℓ⁴·c·β⁻¹·q⁻⁴·ρ_e⁻² | c = k₀ · m⁻²·ℓ⁻⁴·β·q⁴·ρ_e² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "length": "4", "specific_heat": "1", "expansion": "-1", "charge": "-4", "resistivity": "-2"} |
6 | current,expansion,length,mass,specific_heat,voltage | m·ℓ·c·β·i·U | em,mechanics,thermo | m²·ℓ⁻²·c³·β⁻³·i⁻²·U⁻² | m = k₀ · ℓ·c⁻³ᐟ²·β³ᐟ²·i·U | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "length": "-2", "specific_heat": "3", "expansion": "-3", "current": "-2", "voltage": "-2"} |
6 | current,expansion,length,mass,resistance,specific_heat | m·ℓ·c·β·i·R | em,mechanics,thermo | m²·ℓ⁻²·c³·β⁻³·i⁻⁴·R⁻² | m = k₀ · ℓ·c⁻³ᐟ²·β³ᐟ²·i²·R | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-2", "specific_heat": "3", "expansion": "-3", "current": "-4", "resistance": "-2"} |
6 | capacitance,current,expansion,length,mass,specific_heat | m·ℓ·c·β·i·C_e | em,mechanics,thermo | m·ℓ⁻²·c²·β⁻²·i⁻²·C_e | m = k₀ · ℓ²·c⁻²·β²·i²·C_e⁻¹ | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "-2", "specific_heat": "2", "expansion": "-2", "current": "-2", "capacitance": "1"} |
6 | current,efield,expansion,length,mass,specific_heat | m·ℓ·c·β·i·E_f | em,mechanics,thermo | m²·ℓ⁻⁴·c³·β⁻³·i⁻²·E_f⁻² | m = k₀ · ℓ²·c⁻³ᐟ²·β³ᐟ²·i·E_f | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "expansion": "-3", "current": "-2", "efield": "-2"} |
6 | bfield,current,expansion,length,mass,specific_heat | m·ℓ·c·β·i·B | em,mechanics,thermo | m·ℓ⁻²·c·β⁻¹·i⁻¹·B⁻¹ | m = k₀ · ℓ²·c⁻¹·β·i·B | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "expansion": "-1", "current": "-1", "bfield": "-1"} |
6 | current,expansion,length,mass,permittivity,specific_heat | m·ℓ·c·β·i·ε | em,mechanics,thermo | m·ℓ⁻¹·c²·β⁻²·i⁻²·ε | m = k₀ · ℓ·c⁻²·β²·i²·ε⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "specific_heat": "2", "expansion": "-2", "current": "-2", "permittivity": "1"} |
6 | current,expansion,length,mass,permeability,specific_heat | m·ℓ·c·β·i·μ₀ | em,mechanics,thermo | m·ℓ⁻¹·c·β⁻¹·i⁻²·μ₀⁻¹ | m = k₀ · ℓ·c⁻¹·β·i²·μ₀ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "expansion": "-1", "current": "-2", "permeability": "-1"} |
6 | expansion,length,mass,resistance,specific_heat,voltage | m·ℓ·c·β·U·R | em,mechanics,thermo | m²·ℓ⁻²·c³·β⁻³·U⁻⁴·R² | m = k₀ · ℓ·c⁻³ᐟ²·β³ᐟ²·U²·R⁻¹ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-2", "specific_heat": "3", "expansion": "-3", "voltage": "-4", "resistance": "2"} |
6 | expansion,inductance,length,mass,specific_heat,voltage | m·ℓ·c·β·U·L_e | em,mechanics,thermo | m·ℓ⁻²·c²·β⁻²·U⁻²·L_e | m = k₀ · ℓ²·c⁻²·β²·U²·L_e⁻¹ | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "-2", "specific_heat": "2", "expansion": "-2", "voltage": "-2", "inductance": "1"} |
6 | expansion,length,mass,permittivity,specific_heat,voltage | m·ℓ·c·β·U·ε | em,mechanics,thermo | m·ℓ⁻¹·c·β⁻¹·U⁻²·ε⁻¹ | m = k₀ · ℓ·c⁻¹·β·U²·ε | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "expansion": "-1", "voltage": "-2", "permittivity": "-1"} |
6 | expansion,length,mass,permeability,specific_heat,voltage | m·ℓ·c·β·U·μ₀ | em,mechanics,thermo | m·ℓ⁻¹·c²·β⁻²·U⁻²·μ₀ | m = k₀ · ℓ·c⁻²·β²·U²·μ₀⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "specific_heat": "2", "expansion": "-2", "voltage": "-2", "permeability": "1"} |
6 | conductivity,expansion,length,mass,specific_heat,voltage | m·ℓ·c·β·U·σ | em,mechanics,thermo | m²·ℓ⁻⁴·c³·β⁻³·U⁻⁴·σ⁻² | m = k₀ · ℓ²·c⁻³ᐟ²·β³ᐟ²·U²·σ | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "expansion": "-3", "voltage": "-4", "conductivity": "-2"} |
6 | expansion,length,mass,resistivity,specific_heat,voltage | m·ℓ·c·β·U·ρ_e | em,mechanics,thermo | m²·ℓ⁻⁴·c³·β⁻³·U⁻⁴·ρ_e² | m = k₀ · ℓ²·c⁻³ᐟ²·β³ᐟ²·U²·ρ_e⁻¹ | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "length": "-4", "specific_heat": "3", "expansion": "-3", "voltage": "-4", "resistivity": "2"} |
6 | efield,expansion,length,mass,resistance,specific_heat | m·ℓ·c·β·R·E_f | em,mechanics,thermo | m²·ℓ⁻⁶·c³·β⁻³·R²·E_f⁻⁴ | m = k₀ · ℓ³·c⁻³ᐟ²·β³ᐟ²·R⁻¹·E_f² | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "2", "length": "-6", "specific_heat": "3", "expansion": "-3", "resistance": "2", "efield": "-4"} |
6 | bfield,expansion,length,mass,resistance,specific_heat | m·ℓ·c·β·R·B | em,mechanics,thermo | m²·ℓ⁻⁶·c·β⁻¹·R²·B⁻⁴ | c = k₀ · m⁻²·ℓ⁶·β·R⁻²·B⁴ | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "2", "length": "-6", "specific_heat": "1", "expansion": "-1", "resistance": "2", "bfield": "-4"} |
6 | expansion,length,mag_flux,mass,resistance,specific_heat | m·ℓ·c·β·R·Φ | em,mechanics,thermo | m²·ℓ²·c·β⁻¹·R²·Φ⁻⁴ | c = k₀ · m⁻²·ℓ⁻²·β·R⁻²·Φ⁴ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "2", "specific_heat": "1", "expansion": "-1", "resistance": "2", "mag_flux": "-4"} |
6 | elem_charge,expansion,length,mass,resistance,specific_heat | m·ℓ·c·β·R·e | constants,em,mechanics,thermo | m²·ℓ²·c·β⁻¹·R⁻²·e⁻⁴ | c = k₀ · m⁻²·ℓ⁻²·β·R²·e⁴ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "2", "length": "2", "specific_heat": "1", "expansion": "-1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,efield,expansion,length,mass,specific_heat | m·ℓ·c·β·C_e·E_f | em,mechanics,thermo | m·ℓ⁻²·c·β⁻¹·C_e⁻¹·E_f⁻² | m = k₀ · ℓ²·c⁻¹·β·C_e·E_f² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "expansion": "-1", "capacitance": "-1", "efield": "-2"} |
6 | efield,expansion,inductance,length,mass,specific_heat | m·ℓ·c·β·L_e·E_f | em,mechanics,thermo | m·ℓ⁻⁴·c²·β⁻²·L_e·E_f⁻² | m = k₀ · ℓ⁴·c⁻²·β²·L_e⁻¹·E_f² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-4", "specific_heat": "2", "expansion": "-2", "inductance": "1", "efield": "-2"} |
6 | bfield,expansion,inductance,length,mass,specific_heat | m·ℓ·c·β·L_e·B | em,mechanics,thermo | m·ℓ⁻⁴·c·β⁻¹·L_e·B⁻² | m = k₀ · ℓ⁴·c⁻¹·β·L_e⁻¹·B² | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "length": "-4", "specific_heat": "1", "expansion": "-1", "inductance": "1", "bfield": "-2"} |
6 | efield,expansion,length,mass,permittivity,specific_heat | m·ℓ·c·β·E_f·ε | em,mechanics,thermo | m·ℓ⁻³·c·β⁻¹·E_f⁻²·ε⁻¹ | m = k₀ · ℓ³·c⁻¹·β·E_f²·ε | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "specific_heat": "1", "expansion": "-1", "efield": "-2", "permittivity": "-1"} |
6 | efield,expansion,length,mass,permeability,specific_heat | m·ℓ·c·β·E_f·μ₀ | em,mechanics,thermo | m·ℓ⁻³·c²·β⁻²·E_f⁻²·μ₀ | m = k₀ · ℓ³·c⁻²·β²·E_f²·μ₀⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "specific_heat": "2", "expansion": "-2", "efield": "-2", "permeability": "1"} |
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