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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | elem_charge,gas_constant,length,mass,molar_energy,permittivity,specific_heat | m·ℓ·c·ε·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·c·ε·E_m·R⁻¹·e⁻² | m = k₀ · ℓ⁻¹·c⁻¹·ε⁻¹·E_m⁻¹·R·e² | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "1", "specific_heat": "1", "permittivity": "1", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,gas_constant,length,mass,permittivity,specific_heat | m·ℓ·c·ε·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻³·c²·ε⁻¹·R⁻²·z⁻²·e² | m = k₀ · ℓ³·c⁻²·ε·R²·z²·e⁻² | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "1", "length": "-3", "specific_heat": "2", "permittivity": "-1", "gas_constant": "-2", "cat_activity": "-2", "elem_charge": "2"} |
7 | cat_activity,conductivity,gas_constant,length,mass,permeability,specific_heat | m·ℓ·c·μ₀·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻²·c·μ₀⁻¹·σ⁻¹·R⁻¹·z⁻¹ | m = k₀ · ℓ²·c⁻¹·μ₀·σ·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "permeability": "-1", "conductivity": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | cat_activity,gas_constant,length,mass,permeability,resistivity,specific_heat | m·ℓ·c·μ₀·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻²·c·μ₀⁻¹·ρ_e·R⁻¹·z⁻¹ | m = k₀ · ℓ²·c⁻¹·μ₀·ρ_e⁻¹·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "specific_heat": "1", "permeability": "-1", "resistivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | conductivity,elem_charge,gas_constant,length,mass,molar_energy,specific_heat | m·ℓ·c·σ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁴·c·σ²·E_m·R⁻¹·e⁻⁴ | c = k₀ · m⁻²·ℓ⁻⁴·σ⁻²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 15 | 14.5 | -6.5 | false | {"mass": "2", "length": "4", "specific_heat": "1", "conductivity": "2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | elem_charge,gas_constant,length,mass,molar_energy,resistivity,specific_heat | m·ℓ·c·ρ_e·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁴·c·ρ_e⁻²·E_m·R⁻¹·e⁻⁴ | c = k₀ · m⁻²·ℓ⁻⁴·ρ_e²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 15 | 14.5 | -6.5 | false | {"mass": "2", "length": "4", "specific_heat": "1", "resistivity": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
5 | concentration,gas_constant,length,mass,specific_heat | m·ℓ·c·c_n·R | chemistry,mechanics,thermo | m·ℓ⁻³·c·c_n⁻¹·R⁻¹ | m = k₀ · ℓ³·c⁻¹·c_n·R | null | 0 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "length": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,gas_constant,length,mass,molar_energy,specific_heat | m·ℓ·c·E_m·R·z | chemistry,mechanics,thermo | m²·ℓ⁻²·c³·E_m·R⁻³·z⁻² | E_m = k₀ · m⁻²·ℓ²·c⁻³·R³·z² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "length": "-2", "specific_heat": "3", "molar_energy": "1", "gas_constant": "-3", "cat_activity": "-2"} |
6 | gas_constant,grav_const,length,mass,molar_energy,specific_heat | m·ℓ·c·E_m·R·G | chemistry,constants,mechanics,thermo | m·ℓ⁻¹·c⁻¹·E_m⁻¹·R·G | m = k₀ · ℓ·c·E_m·R⁻¹·G⁻¹ | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "specific_heat": "-1", "molar_energy": "-1", "gas_constant": "1", "grav_const": "1"} |
6 | gas_constant,length,mass,molar_energy,planck,specific_heat | m·ℓ·c·E_m·R·h | chemistry,constants,mechanics,thermo | m²·ℓ²·c·E_m·R⁻¹·h⁻² | c = k₀ · m⁻²·ℓ⁻²·E_m⁻¹·R·h² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "2", "length": "2", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1", "planck": "-2"} |
6 | cat_activity,gas_constant,length,light_speed,mass,specific_heat | m·ℓ·c·R·z·c₀ | chemistry,constants,mechanics,thermo | m·ℓ⁻¹·c·R⁻¹·z⁻¹·c₀ | m = k₀ · ℓ·c⁻¹·R·z·c₀⁻¹ | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1", "light_speed": "1"} |
6 | cat_activity,gas_constant,grav_const,length,mass,specific_heat | m·ℓ·c·R·z·G | chemistry,constants,mechanics,thermo | m³·ℓ⁻³·c²·R⁻²·z⁻²·G | G = k₀ · m⁻³·ℓ³·c⁻²·R²·z² | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "3", "length": "-3", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2", "grav_const": "1"} |
5 | expansion,length,mass,thermal_cond,thermal_diff | m·ℓ·κ·α·β | mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·α³·β | m = k₀ · ℓ⁵·κ·α⁻³·β⁻¹ | null | 0 | 2 | 5 | 11 | 9.8 | -0.3 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "thermal_diff": "3", "expansion": "1"} |
6 | gas_constant,length,mass,molar_mass,thermal_cond,thermal_diff | m·ℓ·κ·α·M_m·R | chemistry,mechanics,thermo | m·ℓ⁻³·κ⁻¹·α·M_m⁻¹·R | m = k₀ · ℓ³·κ·α⁻¹·M_m·R⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "-3", "thermal_cond": "-1", "thermal_diff": "1", "molar_mass": "-1", "gas_constant": "1"} |
6 | gas_constant,length,mass,molar_energy,thermal_cond,thermal_diff | m·ℓ·κ·α·E_m·R | chemistry,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·α³·E_m⁻¹·R | m = k₀ · ℓ⁵·κ·α⁻³·E_m·R⁻¹ | null | 0 | 3 | 5 | 12 | 11.4 | -2.4 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "thermal_diff": "3", "molar_energy": "-1", "gas_constant": "1"} |
6 | charge,current,expansion,length,mass,thermal_cond | m·ℓ·κ·β·q·i | em,mechanics,thermo | m·ℓ·κ⁻¹·β·q⁻³·i³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·q³·i⁻³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "charge": "-3", "current": "3"} |
6 | charge,expansion,length,mass,thermal_cond,voltage | m·ℓ·κ·β·q·U | em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·q⁻³·U⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·q³·U³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "charge": "-3", "voltage": "-3"} |
6 | charge,expansion,length,mass,resistance,thermal_cond | m·ℓ·κ·β·q·R | em,mechanics,thermo | m²·ℓ⁵·κ·β⁻¹·q⁻⁶·R⁻³ | κ = k₀ · m⁻²·ℓ⁻⁵·β·q⁶·R³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "expansion": "-1", "charge": "-6", "resistance": "-3"} |
6 | capacitance,charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·q·C_e | em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·q⁻⁶·C_e³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·q⁶·C_e⁻³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "charge": "-6", "capacitance": "3"} |
6 | charge,efield,expansion,length,mass,thermal_cond | m·ℓ·κ·β·q·E_f | em,mechanics,thermo | m·ℓ·κ²·β⁻²·q⁻³·E_f⁻³ | m = k₀ · ℓ⁻¹·κ⁻²·β²·q³·E_f³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "expansion": "-2", "charge": "-3", "efield": "-3"} |
6 | bfield,charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·q·B | em,mechanics,thermo | m²·ℓ⁻¹·κ·β⁻¹·q⁻³·B⁻³ | ℓ = k₀ · m²·κ·β⁻¹·q⁻³·B⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "length": "-1", "thermal_cond": "1", "expansion": "-1", "charge": "-3", "bfield": "-3"} |
6 | charge,expansion,length,mag_flux,mass,thermal_cond | m·ℓ·κ·β·q·Φ | em,mechanics,thermo | m²·ℓ⁵·κ·β⁻¹·q⁻³·Φ⁻³ | κ = k₀ · m⁻²·ℓ⁻⁵·β·q³·Φ³ | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "expansion": "-1", "charge": "-3", "mag_flux": "-3"} |
6 | charge,expansion,length,mass,permittivity,thermal_cond | m·ℓ·κ·β·q·ε | em,mechanics,thermo | m·ℓ⁷·κ²·β⁻²·q⁻⁶·ε³ | m = k₀ · ℓ⁻⁷·κ⁻²·β²·q⁶·ε⁻³ | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "1", "length": "7", "thermal_cond": "2", "expansion": "-2", "charge": "-6", "permittivity": "3"} |
6 | charge,conductivity,expansion,length,mass,thermal_cond | m·ℓ·κ·β·q·σ | em,mechanics,thermo | m²·ℓ⁸·κ·β⁻¹·q⁻⁶·σ³ | κ = k₀ · m⁻²·ℓ⁻⁸·β·q⁶·σ⁻³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "expansion": "-1", "charge": "-6", "conductivity": "3"} |
6 | charge,expansion,length,mass,resistivity,thermal_cond | m·ℓ·κ·β·q·ρ_e | em,mechanics,thermo | m²·ℓ⁸·κ·β⁻¹·q⁻⁶·ρ_e⁻³ | κ = k₀ · m⁻²·ℓ⁻⁸·β·q⁶·ρ_e³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "expansion": "-1", "charge": "-6", "resistivity": "-3"} |
6 | capacitance,current,expansion,length,mass,thermal_cond | m·ℓ·κ·β·i·C_e | em,mechanics,thermo | m·ℓ⁻²·κ⁻⁴·β⁴·i⁶·C_e⁻³ | m = k₀ · ℓ²·κ⁴·β⁻⁴·i⁻⁶·C_e³ | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-4", "expansion": "4", "current": "6", "capacitance": "-3"} |
6 | current,expansion,inductance,length,mass,thermal_cond | m·ℓ·κ·β·i·L_e | em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·i⁻⁶·L_e⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·i⁶·L_e³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "current": "-6", "inductance": "-3"} |
6 | bfield,current,expansion,length,mass,thermal_cond | m·ℓ·κ·β·i·B | em,mechanics,thermo | m·ℓ⁻²·κ²·β⁻²·i⁻³·B⁻³ | m = k₀ · ℓ²·κ⁻²·β²·i³·B³ | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "expansion": "-2", "current": "-3", "bfield": "-3"} |
6 | current,expansion,length,mag_flux,mass,thermal_cond | m·ℓ·κ·β·i·Φ | em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·i⁻³·Φ⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·i³·Φ³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "current": "-3", "mag_flux": "-3"} |
6 | current,expansion,length,mass,permittivity,thermal_cond | m·ℓ·κ·β·i·ε | em,mechanics,thermo | m·ℓ⁻⁵·κ⁻⁴·β⁴·i⁶·ε⁻³ | m = k₀ · ℓ⁵·κ⁴·β⁻⁴·i⁻⁶·ε³ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "length": "-5", "thermal_cond": "-4", "expansion": "4", "current": "6", "permittivity": "-3"} |
6 | current,expansion,length,mass,permeability,thermal_cond | m·ℓ·κ·β·i·μ₀ | em,mechanics,thermo | m·ℓ·κ²·β⁻²·i⁻⁶·μ₀⁻³ | m = k₀ · ℓ⁻¹·κ⁻²·β²·i⁶·μ₀³ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "expansion": "-2", "current": "-6", "permeability": "-3"} |
6 | current,elem_charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·i·e | constants,em,mechanics,thermo | m·ℓ·κ⁻¹·β·i³·e⁻³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·i⁻³·e³ | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "current": "3", "elem_charge": "-3"} |
6 | capacitance,expansion,length,mass,thermal_cond,voltage | m·ℓ·κ·β·U·C_e | em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·U⁻⁶·C_e⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·U⁶·C_e³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "voltage": "-6", "capacitance": "-3"} |
6 | expansion,inductance,length,mass,thermal_cond,voltage | m·ℓ·κ·β·U·L_e | em,mechanics,thermo | m·ℓ⁻²·κ⁻⁴·β⁴·U⁶·L_e⁻³ | m = k₀ · ℓ²·κ⁴·β⁻⁴·U⁻⁶·L_e³ | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-4", "expansion": "4", "voltage": "6", "inductance": "-3"} |
6 | bfield,expansion,length,mass,thermal_cond,voltage | m·ℓ·κ·β·U·B | em,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·β·U³·B⁻³ | m = k₀ · ℓ⁵·κ·β⁻¹·U⁻³·B³ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "expansion": "1", "voltage": "3", "bfield": "-3"} |
6 | expansion,length,mag_flux,mass,thermal_cond,voltage | m·ℓ·κ·β·U·Φ | em,mechanics,thermo | m·ℓ·κ⁻¹·β·U³·Φ⁻³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·U⁻³·Φ³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "voltage": "3", "mag_flux": "-3"} |
6 | expansion,length,mass,permittivity,thermal_cond,voltage | m·ℓ·κ·β·U·ε | em,mechanics,thermo | m·ℓ·κ²·β⁻²·U⁻⁶·ε⁻³ | m = k₀ · ℓ⁻¹·κ⁻²·β²·U⁶·ε³ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "expansion": "-2", "voltage": "-6", "permittivity": "-3"} |
6 | expansion,length,mass,permeability,thermal_cond,voltage | m·ℓ·κ·β·U·μ₀ | em,mechanics,thermo | m·ℓ⁻⁵·κ⁻⁴·β⁴·U⁶·μ₀⁻³ | m = k₀ · ℓ⁵·κ⁴·β⁻⁴·U⁻⁶·μ₀³ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "length": "-5", "thermal_cond": "-4", "expansion": "4", "voltage": "6", "permeability": "-3"} |
6 | elem_charge,expansion,length,mass,thermal_cond,voltage | m·ℓ·κ·β·U·e | constants,em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·U⁻³·e⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·U³·e³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "voltage": "-3", "elem_charge": "-3"} |
6 | capacitance,expansion,length,mass,resistance,thermal_cond | m·ℓ·κ·β·R·C_e | em,mechanics,thermo | m·ℓ·κ⁻¹·β·R⁻³·C_e⁻³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·R³·C_e³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "resistance": "-3", "capacitance": "-3"} |
6 | expansion,inductance,length,mass,resistance,thermal_cond | m·ℓ·κ·β·R·L_e | em,mechanics,thermo | m·ℓ·κ⁻¹·β·R³·L_e⁻³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·R⁻³·L_e³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "resistance": "3", "inductance": "-3"} |
6 | bfield,expansion,length,mass,resistance,thermal_cond | m·ℓ·κ·β·R·B | em,mechanics,thermo | m²·ℓ⁻⁷·κ·β⁻¹·R³·B⁻⁶ | κ = k₀ · m⁻²·ℓ⁷·β·R⁻³·B⁶ | null | 0 | 3 | 7 | 20 | 18 | -9 | false | {"mass": "2", "length": "-7", "thermal_cond": "1", "expansion": "-1", "resistance": "3", "bfield": "-6"} |
6 | expansion,length,mag_flux,mass,resistance,thermal_cond | m·ℓ·κ·β·R·Φ | em,mechanics,thermo | m²·ℓ⁵·κ·β⁻¹·R³·Φ⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁵·β·R⁻³·Φ⁶ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "expansion": "-1", "resistance": "3", "mag_flux": "-6"} |
6 | expansion,length,mass,permittivity,resistance,thermal_cond | m·ℓ·κ·β·R·ε | em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·β·R⁻³·ε⁻³ | m = k₀ · ℓ²·κ·β⁻¹·R³·ε³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "expansion": "1", "resistance": "-3", "permittivity": "-3"} |
6 | expansion,length,mass,permeability,resistance,thermal_cond | m·ℓ·κ·β·R·μ₀ | em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·β·R³·μ₀⁻³ | m = k₀ · ℓ²·κ·β⁻¹·R⁻³·μ₀³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "expansion": "1", "resistance": "3", "permeability": "-3"} |
6 | elem_charge,expansion,length,mass,resistance,thermal_cond | m·ℓ·κ·β·R·e | constants,em,mechanics,thermo | m²·ℓ⁵·κ·β⁻¹·R⁻³·e⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁵·β·R³·e⁶ | null | 1 | 4 | 6 | 18 | 16.7 | -8.2 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "expansion": "-1", "resistance": "-3", "elem_charge": "-6"} |
6 | capacitance,expansion,inductance,length,mass,thermal_cond | m·ℓ·κ·β·C_e·L_e | em,mechanics,thermo | m²·ℓ²·κ⁻²·β²·C_e⁻³·L_e⁻³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·C_e³ᐟ²·L_e³ᐟ² | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "length": "2", "thermal_cond": "-2", "expansion": "2", "capacitance": "-3", "inductance": "-3"} |
6 | capacitance,efield,expansion,length,mass,thermal_cond | m·ℓ·κ·β·C_e·E_f | em,mechanics,thermo | m·ℓ⁻²·κ²·β⁻²·C_e⁻³·E_f⁻⁶ | m = k₀ · ℓ²·κ⁻²·β²·C_e³·E_f⁶ | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "expansion": "-2", "capacitance": "-3", "efield": "-6"} |
6 | capacitance,expansion,length,mass,permeability,thermal_cond | m·ℓ·κ·β·C_e·μ₀ | em,mechanics,thermo | m²·ℓ⁻¹·κ⁻²·β²·C_e⁻³·μ₀⁻³ | ℓ = k₀ · m²·κ⁻²·β²·C_e⁻³·μ₀⁻³ | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "length": "-1", "thermal_cond": "-2", "expansion": "2", "capacitance": "-3", "permeability": "-3"} |
6 | capacitance,conductivity,expansion,length,mass,thermal_cond | m·ℓ·κ·β·C_e·σ | em,mechanics,thermo | m·ℓ⁴·κ⁻¹·β·C_e⁻³·σ³ | m = k₀ · ℓ⁻⁴·κ·β⁻¹·C_e³·σ⁻³ | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "thermal_cond": "-1", "expansion": "1", "capacitance": "-3", "conductivity": "3"} |
6 | capacitance,expansion,length,mass,resistivity,thermal_cond | m·ℓ·κ·β·C_e·ρ_e | em,mechanics,thermo | m·ℓ⁴·κ⁻¹·β·C_e⁻³·ρ_e⁻³ | m = k₀ · ℓ⁻⁴·κ·β⁻¹·C_e³·ρ_e³ | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "thermal_cond": "-1", "expansion": "1", "capacitance": "-3", "resistivity": "-3"} |
6 | capacitance,elem_charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·C_e·e | constants,em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·C_e³·e⁻⁶ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·C_e⁻³·e⁶ | null | 1 | 4 | 6 | 18 | 16.7 | -8.2 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "capacitance": "3", "elem_charge": "-6"} |
6 | efield,expansion,inductance,length,mass,thermal_cond | m·ℓ·κ·β·L_e·E_f | em,mechanics,thermo | m·ℓ⁴·κ⁻⁴·β⁴·L_e⁻³·E_f⁶ | m = k₀ · ℓ⁻⁴·κ⁴·β⁻⁴·L_e³·E_f⁻⁶ | null | 0 | 3 | 6 | 22 | 18.9 | -9.9 | false | {"mass": "1", "length": "4", "thermal_cond": "-4", "expansion": "4", "inductance": "-3", "efield": "6"} |
6 | bfield,expansion,inductance,length,mass,thermal_cond | m·ℓ·κ·β·L_e·B | em,mechanics,thermo | m·ℓ⁻⁸·κ²·β⁻²·L_e³·B⁻⁶ | m = k₀ · ℓ⁸·κ⁻²·β²·L_e⁻³·B⁶ | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "1", "length": "-8", "thermal_cond": "2", "expansion": "-2", "inductance": "3", "bfield": "-6"} |
6 | expansion,inductance,length,mag_flux,mass,thermal_cond | m·ℓ·κ·β·L_e·Φ | em,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·L_e³·Φ⁻⁶ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·L_e⁻³·Φ⁶ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "inductance": "3", "mag_flux": "-6"} |
6 | expansion,inductance,length,mass,permittivity,thermal_cond | m·ℓ·κ·β·L_e·ε | em,mechanics,thermo | m²·ℓ⁻¹·κ⁻²·β²·L_e⁻³·ε⁻³ | ℓ = k₀ · m²·κ⁻²·β²·L_e⁻³·ε⁻³ | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "length": "-1", "thermal_cond": "-2", "expansion": "2", "inductance": "-3", "permittivity": "-3"} |
6 | conductivity,expansion,inductance,length,mass,thermal_cond | m·ℓ·κ·β·L_e·σ | em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·β·L_e⁻³·σ⁻³ | m = k₀ · ℓ²·κ·β⁻¹·L_e³·σ³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "expansion": "1", "inductance": "-3", "conductivity": "-3"} |
6 | expansion,inductance,length,mass,resistivity,thermal_cond | m·ℓ·κ·β·L_e·ρ_e | em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·β·L_e⁻³·ρ_e³ | m = k₀ · ℓ²·κ·β⁻¹·L_e³·ρ_e⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "expansion": "1", "inductance": "-3", "resistivity": "3"} |
6 | bfield,efield,expansion,length,mass,thermal_cond | m·ℓ·κ·β·E_f·B | em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·β·E_f³·B⁻³ | m = k₀ · ℓ²·κ·β⁻¹·E_f⁻³·B³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "expansion": "1", "efield": "3", "bfield": "-3"} |
6 | efield,expansion,length,mag_flux,mass,thermal_cond | m·ℓ·κ·β·E_f·Φ | em,mechanics,thermo | m·ℓ⁴·κ⁻¹·β·E_f³·Φ⁻³ | m = k₀ · ℓ⁻⁴·κ·β⁻¹·E_f⁻³·Φ³ | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "thermal_cond": "-1", "expansion": "1", "efield": "3", "mag_flux": "-3"} |
6 | efield,expansion,length,mass,permittivity,thermal_cond | m·ℓ·κ·β·E_f·ε | em,mechanics,thermo | m·ℓ⁻⁵·κ²·β⁻²·E_f⁻⁶·ε⁻³ | m = k₀ · ℓ⁵·κ⁻²·β²·E_f⁶·ε³ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "expansion": "-2", "efield": "-6", "permittivity": "-3"} |
6 | efield,expansion,length,mass,permeability,thermal_cond | m·ℓ·κ·β·E_f·μ₀ | em,mechanics,thermo | m·ℓ·κ⁻⁴·β⁴·E_f⁶·μ₀⁻³ | m = k₀ · ℓ⁻¹·κ⁴·β⁻⁴·E_f⁻⁶·μ₀³ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "1", "thermal_cond": "-4", "expansion": "4", "efield": "6", "permeability": "-3"} |
6 | efield,elem_charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·E_f·e | constants,em,mechanics,thermo | m·ℓ·κ²·β⁻²·E_f⁻³·e⁻³ | m = k₀ · ℓ⁻¹·κ⁻²·β²·E_f³·e³ | null | 1 | 4 | 3 | 12 | 11 | -2.5 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "expansion": "-2", "efield": "-3", "elem_charge": "-3"} |
6 | bfield,expansion,length,mass,permeability,thermal_cond | m·ℓ·κ·β·B·μ₀ | em,mechanics,thermo | m·ℓ⁻⁵·κ²·β⁻²·B⁻⁶·μ₀³ | m = k₀ · ℓ⁵·κ⁻²·β²·B⁶·μ₀⁻³ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "expansion": "-2", "bfield": "-6", "permeability": "3"} |
6 | bfield,conductivity,expansion,length,mass,thermal_cond | m·ℓ·κ·β·B·σ | em,mechanics,thermo | m²·ℓ⁻¹⁰·κ·β⁻¹·B⁻⁶·σ⁻³ | κ = k₀ · m⁻²·ℓ¹⁰·β·B⁶·σ³ | null | 0 | 3 | 10 | 23 | 21.6 | -12.6 | false | {"mass": "2", "length": "-10", "thermal_cond": "1", "expansion": "-1", "bfield": "-6", "conductivity": "-3"} |
6 | bfield,expansion,length,mass,resistivity,thermal_cond | m·ℓ·κ·β·B·ρ_e | em,mechanics,thermo | m²·ℓ⁻¹⁰·κ·β⁻¹·B⁻⁶·ρ_e³ | κ = k₀ · m⁻²·ℓ¹⁰·β·B⁶·ρ_e⁻³ | null | 0 | 3 | 10 | 23 | 21.6 | -12.6 | false | {"mass": "2", "length": "-10", "thermal_cond": "1", "expansion": "-1", "bfield": "-6", "resistivity": "3"} |
6 | bfield,elem_charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·B·e | constants,em,mechanics,thermo | m²·ℓ⁻¹·κ·β⁻¹·B⁻³·e⁻³ | ℓ = k₀ · m²·κ·β⁻¹·B⁻³·e⁻³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "2", "length": "-1", "thermal_cond": "1", "expansion": "-1", "bfield": "-3", "elem_charge": "-3"} |
6 | expansion,length,mag_flux,mass,permeability,thermal_cond | m·ℓ·κ·β·Φ·μ₀ | em,mechanics,thermo | m·ℓ⁷·κ²·β⁻²·Φ⁻⁶·μ₀³ | m = k₀ · ℓ⁻⁷·κ⁻²·β²·Φ⁶·μ₀⁻³ | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "1", "length": "7", "thermal_cond": "2", "expansion": "-2", "mag_flux": "-6", "permeability": "3"} |
6 | conductivity,expansion,length,mag_flux,mass,thermal_cond | m·ℓ·κ·β·Φ·σ | em,mechanics,thermo | m²·ℓ²·κ·β⁻¹·Φ⁻⁶·σ⁻³ | κ = k₀ · m⁻²·ℓ⁻²·β·Φ⁶·σ³ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "2", "length": "2", "thermal_cond": "1", "expansion": "-1", "mag_flux": "-6", "conductivity": "-3"} |
6 | expansion,length,mag_flux,mass,resistivity,thermal_cond | m·ℓ·κ·β·Φ·ρ_e | em,mechanics,thermo | m²·ℓ²·κ·β⁻¹·Φ⁻⁶·ρ_e³ | κ = k₀ · m⁻²·ℓ⁻²·β·Φ⁶·ρ_e⁻³ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "2", "length": "2", "thermal_cond": "1", "expansion": "-1", "mag_flux": "-6", "resistivity": "3"} |
6 | elem_charge,expansion,length,mag_flux,mass,thermal_cond | m·ℓ·κ·β·Φ·e | constants,em,mechanics,thermo | m²·ℓ⁵·κ·β⁻¹·Φ⁻³·e⁻³ | κ = k₀ · m⁻²·ℓ⁻⁵·β·Φ³·e³ | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "expansion": "-1", "mag_flux": "-3", "elem_charge": "-3"} |
6 | expansion,length,mass,permeability,permittivity,thermal_cond | m·ℓ·κ·β·ε·μ₀ | em,mechanics,thermo | m²·ℓ⁻⁴·κ⁻²·β²·ε⁻³·μ₀⁻³ | m = k₀ · ℓ²·κ·β⁻¹·ε³ᐟ²·μ₀³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-4", "thermal_cond": "-2", "expansion": "2", "permittivity": "-3", "permeability": "-3"} |
6 | conductivity,expansion,length,mass,permittivity,thermal_cond | m·ℓ·κ·β·ε·σ | em,mechanics,thermo | m·ℓ·κ⁻¹·β·ε⁻³·σ³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·ε³·σ⁻³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "permittivity": "-3", "conductivity": "3"} |
6 | expansion,length,mass,permittivity,resistivity,thermal_cond | m·ℓ·κ·β·ε·ρ_e | em,mechanics,thermo | m·ℓ·κ⁻¹·β·ε⁻³·ρ_e⁻³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·ε³·ρ_e³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "permittivity": "-3", "resistivity": "-3"} |
6 | elem_charge,expansion,length,mass,permittivity,thermal_cond | m·ℓ·κ·β·ε·e | constants,em,mechanics,thermo | m·ℓ⁷·κ²·β⁻²·ε³·e⁻⁶ | m = k₀ · ℓ⁻⁷·κ⁻²·β²·ε⁻³·e⁶ | null | 1 | 4 | 7 | 21 | 19.3 | -10.8 | false | {"mass": "1", "length": "7", "thermal_cond": "2", "expansion": "-2", "permittivity": "3", "elem_charge": "-6"} |
6 | conductivity,expansion,length,mass,permeability,thermal_cond | m·ℓ·κ·β·μ₀·σ | em,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·β·μ₀⁻³·σ⁻³ | m = k₀ · ℓ⁵·κ·β⁻¹·μ₀³·σ³ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "expansion": "1", "permeability": "-3", "conductivity": "-3"} |
6 | expansion,length,mass,permeability,resistivity,thermal_cond | m·ℓ·κ·β·μ₀·ρ_e | em,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·β·μ₀⁻³·ρ_e³ | m = k₀ · ℓ⁵·κ·β⁻¹·μ₀³·ρ_e⁻³ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "expansion": "1", "permeability": "-3", "resistivity": "3"} |
6 | conductivity,elem_charge,expansion,length,mass,thermal_cond | m·ℓ·κ·β·σ·e | constants,em,mechanics,thermo | m²·ℓ⁸·κ·β⁻¹·σ³·e⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁸·β·σ⁻³·e⁶ | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "expansion": "-1", "conductivity": "3", "elem_charge": "-6"} |
6 | elem_charge,expansion,length,mass,resistivity,thermal_cond | m·ℓ·κ·β·ρ_e·e | constants,em,mechanics,thermo | m²·ℓ⁸·κ·β⁻¹·ρ_e⁻³·e⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁸·β·ρ_e³·e⁶ | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "expansion": "-1", "resistivity": "-3", "elem_charge": "-6"} |
6 | amount,expansion,length,mass,molar_energy,thermal_cond | m·ℓ·κ·β·n·E_m | chemistry,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·n⁻³·E_m⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·n³·E_m³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "amount": "-3", "molar_energy": "-3"} |
6 | amount,expansion,gas_constant,length,mass,thermal_cond | m·ℓ·κ·β·n·R | chemistry,mechanics,thermo | m·ℓ⁴·κ²·β·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β⁻¹·n³·R³ | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "1", "amount": "-3", "gas_constant": "-3"} |
6 | amount,cat_activity,expansion,length,mass,thermal_cond | m·ℓ·κ·β·n·z | chemistry,mechanics,thermo | m·ℓ·κ⁻¹·β·n⁻³·z³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·n³·z⁻³ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "amount": "-3", "cat_activity": "3"} |
6 | expansion,length,mass,molar_energy,molar_mass,thermal_cond | m·ℓ·κ·β·M_m·E_m | chemistry,mechanics,thermo | m²·ℓ⁻⁴·κ⁻²·β²·M_m⁻³·E_m³ | m = k₀ · ℓ²·κ·β⁻¹·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "length": "-4", "thermal_cond": "-2", "expansion": "2", "molar_mass": "-3", "molar_energy": "3"} |
6 | expansion,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·β·M_m·R | chemistry,mechanics,thermo | m²·ℓ⁻⁴·κ⁻²·β⁻¹·M_m⁻³·R³ | β = k₀ · m²·ℓ⁻⁴·κ⁻²·M_m⁻³·R³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "2", "length": "-4", "thermal_cond": "-2", "expansion": "-1", "molar_mass": "-3", "gas_constant": "3"} |
6 | cat_activity,expansion,length,mass,molar_mass,thermal_cond | m·ℓ·κ·β·M_m·z | chemistry,mechanics,thermo | m²·ℓ⁻¹·κ·β⁻¹·M_m⁻³·z⁻³ | ℓ = k₀ · m²·κ·β⁻¹·M_m⁻³·z⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "length": "-1", "thermal_cond": "1", "expansion": "-1", "molar_mass": "-3", "cat_activity": "-3"} |
6 | concentration,expansion,length,mass,molar_energy,thermal_cond | m·ℓ·κ·β·c_n·E_m | chemistry,mechanics,thermo | m·ℓ⁻⁵·κ²·β⁻²·c_n⁻³·E_m⁻³ | m = k₀ · ℓ⁵·κ⁻²·β²·c_n³·E_m³ | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "expansion": "-2", "concentration": "-3", "molar_energy": "-3"} |
6 | concentration,expansion,gas_constant,length,mass,thermal_cond | m·ℓ·κ·β·c_n·R | chemistry,mechanics,thermo | m·ℓ⁻⁵·κ²·β·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·κ⁻²·β⁻¹·c_n³·R³ | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "expansion": "1", "concentration": "-3", "gas_constant": "-3"} |
6 | cat_activity,concentration,expansion,length,mass,thermal_cond | m·ℓ·κ·β·c_n·z | chemistry,mechanics,thermo | m·ℓ⁻⁸·κ⁻¹·β·c_n⁻³·z³ | m = k₀ · ℓ⁸·κ·β⁻¹·c_n³·z⁻³ | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "thermal_cond": "-1", "expansion": "1", "concentration": "-3", "cat_activity": "3"} |
6 | avogadro,expansion,length,mass,molar_energy,thermal_cond | m·ℓ·κ·β·E_m·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁴·κ²·β⁻²·E_m⁻³·N_A³ | m = k₀ · ℓ⁻⁴·κ⁻²·β²·E_m³·N_A⁻³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "-2", "molar_energy": "-3", "avogadro": "3"} |
6 | avogadro,expansion,gas_constant,length,mass,thermal_cond | m·ℓ·κ·β·R·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁴·κ²·β·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·κ⁻²·β⁻¹·R³·N_A⁻³ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "1", "gas_constant": "-3", "avogadro": "3"} |
6 | avogadro,cat_activity,expansion,length,mass,thermal_cond | m·ℓ·κ·β·z·N_A | chemistry,constants,mechanics,thermo | m·ℓ·κ⁻¹·β·z³·N_A³ | m = k₀ · ℓ⁻¹·κ·β⁻¹·z⁻³·N_A⁻³ | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "expansion": "1", "cat_activity": "3", "avogadro": "3"} |
5 | expansion,length,light_speed,mass,thermal_cond | m·ℓ·κ·β·c₀ | constants,mechanics,thermo | m·ℓ⁻²·κ⁻¹·β·c₀³ | m = k₀ · ℓ²·κ·β⁻¹·c₀⁻³ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "expansion": "1", "light_speed": "3"} |
5 | expansion,grav_const,length,mass,thermal_cond | m·ℓ·κ·β·G | constants,mechanics,thermo | m⁵·ℓ⁻⁷·κ⁻²·β²·G³ | κ = k₀ · m⁵ᐟ²·ℓ⁻⁷ᐟ²·β·G³ᐟ² | null | 1 | 3 | 7 | 19 | 17 | -8 | false | {"mass": "5", "length": "-7", "thermal_cond": "-2", "expansion": "2", "grav_const": "3"} |
5 | expansion,length,mass,planck,thermal_cond | m·ℓ·κ·β·h | constants,mechanics,thermo | m²·ℓ⁵·κ·β⁻¹·h⁻³ | κ = k₀ · m⁻²·ℓ⁻⁵·β·h³ | null | 1 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "expansion": "-1", "planck": "-3"} |
5 | boltzmann,expansion,length,mass,thermal_cond | m·ℓ·κ·β·k_B | constants,mechanics,thermo | m·ℓ⁴·κ²·β·k_B⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·β⁻¹·k_B³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "expansion": "1", "boltzmann": "-3"} |
7 | charge,current,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·q·i·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·q⁻¹·i·M_m⁻¹·R | m = k₀ · ℓ·κ·q·i⁻¹·M_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "charge": "-1", "current": "1", "molar_mass": "-1", "gas_constant": "1"} |
7 | charge,current,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·q·i·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻¹·q⁻³·i³·E_m⁻¹·R | m = k₀ · ℓ⁻¹·κ·q³·i⁻³·E_m·R⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "charge": "-3", "current": "3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,charge,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·q·U·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻¹·U⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·q·U·n²·R² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-1", "voltage": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | charge,gas_constant,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·q·U·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·q·U·M_m⁻²·R² | m = k₀ · ℓ⁴·κ²·q⁻¹·U⁻¹·M_m²·R⁻² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "charge": "1", "voltage": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | charge,concentration,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·q·U·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·q⁻¹·U⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ²·κ⁻²·q·U·c_n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "charge": "-1", "voltage": "-1", "concentration": "-2", "gas_constant": "-2"} |
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