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 | bfield,concentration,efield,expansion,gas_constant,length,mass | m·ℓ·β·E_f·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·β·E_f²·B⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ³·β⁻¹·E_f⁻²·B²·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "-3", "expansion": "1", "efield": "2", "bfield": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,cat_activity,efield,expansion,gas_constant,length,mass | m·ℓ·β·E_f·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·β·E_f³·B⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ·β⁻¹·E_f⁻³·B³·R·z | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "-1", "expansion": "1", "efield": "3", "bfield": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | amount,efield,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·E_f·Φ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·β·E_f²·Φ⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻⁴·β⁻¹·E_f⁻²·Φ²·n·R | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "expansion": "1", "efield": "2", "mag_flux": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,efield,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·E_f·Φ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ·β·E_f²·Φ⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁻¹·β⁻¹·E_f⁻²·Φ²·c_n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "1", "expansion": "1", "efield": "2", "mag_flux": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·E_f·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁵·β·E_f³·Φ⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻⁵·β⁻¹·E_f⁻³·Φ³·R·z | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "5", "expansion": "1", "efield": "3", "mag_flux": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,efield,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·E_f·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·β·E_f²·Φ⁻²·R⁻¹·N_A | m = k₀ · ℓ⁻⁴·β⁻¹·E_f⁻²·Φ²·R·N_A⁻¹ | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "1", "length": "4", "expansion": "1", "efield": "2", "mag_flux": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,efield,expansion,length,mag_flux,mass | m·ℓ·β·E_f·Φ·k_B | constants,em,mechanics,thermo | m·ℓ⁴·β·E_f²·Φ⁻²·k_B⁻¹ | m = k₀ · ℓ⁻⁴·β⁻¹·E_f⁻²·Φ²·k_B | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "expansion": "1", "efield": "2", "mag_flux": "-2", "boltzmann": "-1"} |
7 | efield,expansion,gas_constant,length,mass,molar_mass,permittivity | m·ℓ·β·E_f·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·β⁻¹·E_f⁻²·ε⁻¹·M_m⁻¹·R | m = k₀ · ℓ³·β·E_f²·ε·M_m·R⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "expansion": "-1", "efield": "-2", "permittivity": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | cat_activity,efield,expansion,gas_constant,length,mass,permittivity | m·ℓ·β·E_f·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·β⁻²·E_f⁻⁶·ε⁻³·R²·z² | m = k₀ · ℓ⁷·β²·E_f⁶·ε³·R⁻²·z⁻² | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "-7", "expansion": "-2", "efield": "-6", "permittivity": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | amount,efield,expansion,gas_constant,length,mass,permeability | m·ℓ·β·E_f·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ³·β²·E_f²·μ₀⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻³·β⁻²·E_f⁻²·μ₀·n²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "expansion": "2", "efield": "2", "permeability": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | efield,expansion,gas_constant,length,mass,molar_mass,permeability | m·ℓ·β·E_f·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·β⁻²·E_f⁻²·μ₀·M_m⁻²·R² | m = k₀ · ℓ³·β²·E_f²·μ₀⁻¹·M_m²·R⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "-3", "expansion": "-2", "efield": "-2", "permeability": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,efield,expansion,gas_constant,length,mass,permeability | m·ℓ·β·E_f·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·β²·E_f²·μ₀⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ³·β⁻²·E_f⁻²·μ₀·c_n²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "-3", "expansion": "2", "efield": "2", "permeability": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,efield,expansion,gas_constant,length,mass,permeability | m·ℓ·β·E_f·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁵·β⁴·E_f⁶·μ₀⁻³·R⁻⁴·z⁻⁴ | m = k₀ · ℓ⁻⁵·β⁻⁴·E_f⁻⁶·μ₀³·R⁴·z⁴ | null | 0 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "1", "length": "5", "expansion": "4", "efield": "6", "permeability": "-3", "gas_constant": "-4", "cat_activity": "-4"} |
7 | avogadro,efield,expansion,gas_constant,length,mass,permeability | m·ℓ·β·E_f·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·β²·E_f²·μ₀⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻³·β⁻²·E_f⁻²·μ₀·R²·N_A⁻² | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "1", "length": "3", "expansion": "2", "efield": "2", "permeability": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,efield,expansion,length,mass,permeability | m·ℓ·β·E_f·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ³·β²·E_f²·μ₀⁻¹·k_B⁻² | m = k₀ · ℓ⁻³·β⁻²·E_f⁻²·μ₀·k_B² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "3", "expansion": "2", "efield": "2", "permeability": "-1", "boltzmann": "-2"} |
7 | amount,conductivity,efield,expansion,gas_constant,length,mass | m·ℓ·β·E_f·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁸·β³·E_f⁴·σ²·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁸·β⁻³·E_f⁻⁴·σ⁻²·n³·R³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "expansion": "3", "efield": "4", "conductivity": "2", "amount": "-3", "gas_constant": "-3"} |
7 | conductivity,efield,expansion,gas_constant,length,mass,molar_mass | m·ℓ·β·E_f·σ·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁸·β⁻³·E_f⁻⁴·σ⁻²·M_m⁻³·R³ | m = k₀ · ℓ⁴·β³ᐟ²·E_f²·σ·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 8 | 25 | 22.9 | -14.4 | false | {"mass": "2", "length": "-8", "expansion": "-3", "efield": "-4", "conductivity": "-2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,conductivity,efield,expansion,gas_constant,length,mass | m·ℓ·β·E_f·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·β³·E_f⁴·σ²·c_n⁻³·R⁻³ | m = k₀ · ℓ·β⁻³·E_f⁻⁴·σ⁻²·c_n³·R³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "-1", "expansion": "3", "efield": "4", "conductivity": "2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,conductivity,efield,expansion,gas_constant,length,mass | m·ℓ·β·E_f·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁸·β³·E_f⁴·σ²·R⁻³·N_A³ | m = k₀ · ℓ⁻⁸·β⁻³·E_f⁻⁴·σ⁻²·R³·N_A⁻³ | null | 1 | 5 | 8 | 24 | 22.8 | -14.8 | false | {"mass": "1", "length": "8", "expansion": "3", "efield": "4", "conductivity": "2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,conductivity,efield,expansion,length,mass | m·ℓ·β·E_f·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁸·β³·E_f⁴·σ²·k_B⁻³ | m = k₀ · ℓ⁻⁸·β⁻³·E_f⁻⁴·σ⁻²·k_B³ | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "1", "length": "8", "expansion": "3", "efield": "4", "conductivity": "2", "boltzmann": "-3"} |
7 | amount,efield,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·E_f·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁸·β³·E_f⁴·ρ_e⁻²·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁸·β⁻³·E_f⁻⁴·ρ_e²·n³·R³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "expansion": "3", "efield": "4", "resistivity": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | efield,expansion,gas_constant,length,mass,molar_mass,resistivity | m·ℓ·β·E_f·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁸·β⁻³·E_f⁻⁴·ρ_e²·M_m⁻³·R³ | m = k₀ · ℓ⁴·β³ᐟ²·E_f²·ρ_e⁻¹·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 8 | 25 | 22.9 | -14.4 | false | {"mass": "2", "length": "-8", "expansion": "-3", "efield": "-4", "resistivity": "2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,efield,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·E_f·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·β³·E_f⁴·ρ_e⁻²·c_n⁻³·R⁻³ | m = k₀ · ℓ·β⁻³·E_f⁻⁴·ρ_e²·c_n³·R³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "-1", "expansion": "3", "efield": "4", "resistivity": "-2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,efield,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·E_f·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁸·β³·E_f⁴·ρ_e⁻²·R⁻³·N_A³ | m = k₀ · ℓ⁻⁸·β⁻³·E_f⁻⁴·ρ_e²·R³·N_A⁻³ | null | 1 | 5 | 8 | 24 | 22.8 | -14.8 | false | {"mass": "1", "length": "8", "expansion": "3", "efield": "4", "resistivity": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,efield,expansion,length,mass,resistivity | m·ℓ·β·E_f·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁸·β³·E_f⁴·ρ_e⁻²·k_B⁻³ | m = k₀ · ℓ⁻⁸·β⁻³·E_f⁻⁴·ρ_e²·k_B³ | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "1", "length": "8", "expansion": "3", "efield": "4", "resistivity": "-2", "boltzmann": "-3"} |
7 | efield,elem_charge,expansion,gas_constant,length,mass,molar_mass | m·ℓ·β·E_f·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻¹·β⁻¹·E_f⁻¹·M_m⁻¹·R·e⁻¹ | m = k₀ · ℓ·β·E_f·M_m·R⁻¹·e | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "length": "-1", "expansion": "-1", "efield": "-1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-1"} |
7 | cat_activity,efield,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·E_f·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻¹·β⁻²·E_f⁻³·R²·z²·e⁻³ | m = k₀ · ℓ·β²·E_f³·R⁻²·z⁻²·e³ | null | 1 | 5 | 3 | 14 | 13.3 | -5.3 | false | {"mass": "1", "length": "-1", "expansion": "-2", "efield": "-3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-3"} |
7 | bfield,expansion,gas_constant,length,mass,molar_mass,permeability | m·ℓ·β·B·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·β⁻¹·B⁻²·μ₀·M_m⁻¹·R | m = k₀ · ℓ³·β·B²·μ₀⁻¹·M_m·R⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "expansion": "-1", "bfield": "-2", "permeability": "1", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,cat_activity,expansion,gas_constant,length,mass,permeability | m·ℓ·β·B·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·β⁻²·B⁻⁶·μ₀³·R²·z² | m = k₀ · ℓ⁷·β²·B⁶·μ₀⁻³·R⁻²·z⁻² | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "-7", "expansion": "-2", "bfield": "-6", "permeability": "3", "gas_constant": "2", "cat_activity": "2"} |
7 | amount,bfield,conductivity,expansion,gas_constant,length,mass | m·ℓ·β·B·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·β⁻¹·B⁻⁴·σ⁻²·n·R | m = k₀ · ℓ⁸·β·B⁴·σ²·n⁻¹·R⁻¹ | null | 0 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "expansion": "-1", "bfield": "-4", "conductivity": "-2", "amount": "1", "gas_constant": "1"} |
7 | bfield,conductivity,expansion,gas_constant,length,mass,molar_mass | m·ℓ·β·B·σ·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁸·β⁻¹·B⁻⁴·σ⁻²·M_m⁻¹·R | β = k₀ · m²·ℓ⁻⁸·B⁻⁴·σ⁻²·M_m⁻¹·R | null | 0 | 4 | 8 | 19 | 18.7 | -10.2 | false | {"mass": "2", "length": "-8", "expansion": "-1", "bfield": "-4", "conductivity": "-2", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,concentration,conductivity,expansion,gas_constant,length,mass | m·ℓ·β·B·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·β⁻¹·B⁻⁴·σ⁻²·c_n·R | m = k₀ · ℓ⁵·β·B⁴·σ²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "expansion": "-1", "bfield": "-4", "conductivity": "-2", "concentration": "1", "gas_constant": "1"} |
7 | bfield,cat_activity,conductivity,expansion,gas_constant,length,mass | m·ℓ·β·B·σ·R·z | chemistry,em,mechanics,thermo | m²·ℓ⁻¹¹·β⁻¹·B⁻⁶·σ⁻³·R·z | β = k₀ · m²·ℓ⁻¹¹·B⁻⁶·σ⁻³·R·z | null | 0 | 4 | 11 | 25 | 24.4 | -15.9 | false | {"mass": "2", "length": "-11", "expansion": "-1", "bfield": "-6", "conductivity": "-3", "gas_constant": "1", "cat_activity": "1"} |
7 | avogadro,bfield,conductivity,expansion,gas_constant,length,mass | m·ℓ·β·B·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻⁸·β⁻¹·B⁻⁴·σ⁻²·R·N_A⁻¹ | m = k₀ · ℓ⁸·β·B⁴·σ²·R⁻¹·N_A | null | 1 | 5 | 8 | 18 | 18.6 | -10.6 | false | {"mass": "1", "length": "-8", "expansion": "-1", "bfield": "-4", "conductivity": "-2", "gas_constant": "1", "avogadro": "-1"} |
6 | bfield,boltzmann,conductivity,expansion,length,mass | m·ℓ·β·B·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁻⁸·β⁻¹·B⁻⁴·σ⁻²·k_B | m = k₀ · ℓ⁸·β·B⁴·σ²·k_B⁻¹ | null | 1 | 4 | 8 | 17 | 17 | -8.5 | false | {"mass": "1", "length": "-8", "expansion": "-1", "bfield": "-4", "conductivity": "-2", "boltzmann": "1"} |
7 | amount,bfield,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·B·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·β⁻¹·B⁻⁴·ρ_e²·n·R | m = k₀ · ℓ⁸·β·B⁴·ρ_e⁻²·n⁻¹·R⁻¹ | null | 0 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "expansion": "-1", "bfield": "-4", "resistivity": "2", "amount": "1", "gas_constant": "1"} |
7 | bfield,expansion,gas_constant,length,mass,molar_mass,resistivity | m·ℓ·β·B·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁸·β⁻¹·B⁻⁴·ρ_e²·M_m⁻¹·R | β = k₀ · m²·ℓ⁻⁸·B⁻⁴·ρ_e²·M_m⁻¹·R | null | 0 | 4 | 8 | 19 | 18.7 | -10.2 | false | {"mass": "2", "length": "-8", "expansion": "-1", "bfield": "-4", "resistivity": "2", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,concentration,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·B·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·β⁻¹·B⁻⁴·ρ_e²·c_n·R | m = k₀ · ℓ⁵·β·B⁴·ρ_e⁻²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "expansion": "-1", "bfield": "-4", "resistivity": "2", "concentration": "1", "gas_constant": "1"} |
7 | bfield,cat_activity,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·B·ρ_e·R·z | chemistry,em,mechanics,thermo | m²·ℓ⁻¹¹·β⁻¹·B⁻⁶·ρ_e³·R·z | β = k₀ · m²·ℓ⁻¹¹·B⁻⁶·ρ_e³·R·z | null | 0 | 4 | 11 | 25 | 24.4 | -15.9 | false | {"mass": "2", "length": "-11", "expansion": "-1", "bfield": "-6", "resistivity": "3", "gas_constant": "1", "cat_activity": "1"} |
7 | avogadro,bfield,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·B·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻⁸·β⁻¹·B⁻⁴·ρ_e²·R·N_A⁻¹ | m = k₀ · ℓ⁸·β·B⁴·ρ_e⁻²·R⁻¹·N_A | null | 1 | 5 | 8 | 18 | 18.6 | -10.6 | false | {"mass": "1", "length": "-8", "expansion": "-1", "bfield": "-4", "resistivity": "2", "gas_constant": "1", "avogadro": "-1"} |
6 | bfield,boltzmann,expansion,length,mass,resistivity | m·ℓ·β·B·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁻⁸·β⁻¹·B⁻⁴·ρ_e²·k_B | m = k₀ · ℓ⁸·β·B⁴·ρ_e⁻²·k_B⁻¹ | null | 1 | 4 | 8 | 17 | 17 | -8.5 | false | {"mass": "1", "length": "-8", "expansion": "-1", "bfield": "-4", "resistivity": "2", "boltzmann": "1"} |
7 | amount,bfield,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·B·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·β⁻¹·B⁻²·n·R·e⁻² | m = k₀ · ℓ²·β·B²·n⁻¹·R⁻¹·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "-2", "expansion": "-1", "bfield": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-2"} |
7 | bfield,elem_charge,expansion,gas_constant,length,mass,molar_mass | m·ℓ·β·B·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁻²·β⁻¹·B⁻²·M_m⁻¹·R·e⁻² | β = k₀ · m²·ℓ⁻²·B⁻²·M_m⁻¹·R·e⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "2", "length": "-2", "expansion": "-1", "bfield": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"} |
7 | bfield,concentration,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·B·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·β⁻¹·B⁻²·c_n·R·e⁻² | m = k₀ · ℓ⁻¹·β·B²·c_n⁻¹·R⁻¹·e² | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "1", "expansion": "-1", "bfield": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-2"} |
7 | bfield,cat_activity,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·B·R·z·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁻²·β⁻¹·B⁻³·R·z·e⁻³ | β = k₀ · m²·ℓ⁻²·B⁻³·R·z·e⁻³ | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "2", "length": "-2", "expansion": "-1", "bfield": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-3"} |
7 | avogadro,bfield,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·B·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·β⁻¹·B⁻²·R·e⁻²·N_A⁻¹ | m = k₀ · ℓ²·β·B²·R⁻¹·e²·N_A | null | 2 | 5 | 2 | 10 | 11 | -4.5 | false | {"mass": "1", "length": "-2", "expansion": "-1", "bfield": "-2", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"} |
6 | bfield,boltzmann,elem_charge,expansion,length,mass | m·ℓ·β·B·k_B·e | constants,em,mechanics,thermo | m·ℓ⁻²·β⁻¹·B⁻²·k_B·e⁻² | m = k₀ · ℓ²·β·B²·k_B⁻¹·e² | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "length": "-2", "expansion": "-1", "bfield": "-2", "boltzmann": "1", "elem_charge": "-2"} |
7 | expansion,gas_constant,length,mag_flux,mass,molar_mass,permeability | m·ℓ·β·Φ·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ·β⁻¹·Φ⁻²·μ₀·M_m⁻¹·R | m = k₀ · ℓ⁻¹·β·Φ²·μ₀⁻¹·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "expansion": "-1", "mag_flux": "-2", "permeability": "1", "molar_mass": "-1", "gas_constant": "1"} |
7 | cat_activity,expansion,gas_constant,length,mag_flux,mass,permeability | m·ℓ·β·Φ·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁵·β⁻²·Φ⁻⁶·μ₀³·R²·z² | m = k₀ · ℓ⁻⁵·β²·Φ⁶·μ₀⁻³·R⁻²·z⁻² | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "1", "length": "5", "expansion": "-2", "mag_flux": "-6", "permeability": "3", "gas_constant": "2", "cat_activity": "2"} |
7 | concentration,conductivity,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·Φ·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ³·β⁻¹·Φ⁻⁴·σ⁻²·c_n·R | m = k₀ · ℓ⁻³·β·Φ⁴·σ²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "3", "expansion": "-1", "mag_flux": "-4", "conductivity": "-2", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,conductivity,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·Φ·σ·R·z | chemistry,em,mechanics,thermo | m²·ℓ·β⁻¹·Φ⁻⁶·σ⁻³·R·z | ℓ = k₀ · m⁻²·β·Φ⁶·σ³·R⁻¹·z⁻¹ | null | 0 | 4 | 6 | 15 | 14.9 | -6.4 | false | {"mass": "2", "length": "1", "expansion": "-1", "mag_flux": "-6", "conductivity": "-3", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,expansion,gas_constant,length,mag_flux,mass,resistivity | m·ℓ·β·Φ·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ³·β⁻¹·Φ⁻⁴·ρ_e²·c_n·R | m = k₀ · ℓ⁻³·β·Φ⁴·ρ_e⁻²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "3", "expansion": "-1", "mag_flux": "-4", "resistivity": "2", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,expansion,gas_constant,length,mag_flux,mass,resistivity | m·ℓ·β·Φ·ρ_e·R·z | chemistry,em,mechanics,thermo | m²·ℓ·β⁻¹·Φ⁻⁶·ρ_e³·R·z | ℓ = k₀ · m⁻²·β·Φ⁶·ρ_e⁻³·R⁻¹·z⁻¹ | null | 0 | 4 | 6 | 15 | 14.9 | -6.4 | false | {"mass": "2", "length": "1", "expansion": "-1", "mag_flux": "-6", "resistivity": "3", "gas_constant": "1", "cat_activity": "1"} |
7 | amount,elem_charge,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·Φ·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·β⁻¹·Φ⁻²·n·R·e⁻² | m = k₀ · ℓ⁻²·β·Φ²·n⁻¹·R⁻¹·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "expansion": "-1", "mag_flux": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-2"} |
7 | elem_charge,expansion,gas_constant,length,mag_flux,mass,molar_mass | m·ℓ·β·Φ·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ²·β⁻¹·Φ⁻²·M_m⁻¹·R·e⁻² | β = k₀ · m²·ℓ²·Φ⁻²·M_m⁻¹·R·e⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "2", "length": "2", "expansion": "-1", "mag_flux": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"} |
7 | concentration,elem_charge,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·Φ·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·β⁻¹·Φ⁻²·c_n·R·e⁻² | m = k₀ · ℓ⁻⁵·β·Φ²·c_n⁻¹·R⁻¹·e² | null | 1 | 5 | 5 | 13 | 13.6 | -5.6 | false | {"mass": "1", "length": "5", "expansion": "-1", "mag_flux": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·Φ·R·z·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁴·β⁻¹·Φ⁻³·R·z·e⁻³ | β = k₀ · m²·ℓ⁴·Φ⁻³·R·z·e⁻³ | null | 1 | 5 | 4 | 15 | 14.5 | -6.5 | false | {"mass": "2", "length": "4", "expansion": "-1", "mag_flux": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-3"} |
7 | avogadro,elem_charge,expansion,gas_constant,length,mag_flux,mass | m·ℓ·β·Φ·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·β⁻¹·Φ⁻²·R·e⁻²·N_A⁻¹ | m = k₀ · ℓ⁻²·β·Φ²·R⁻¹·e²·N_A | null | 2 | 5 | 2 | 10 | 11 | -4.5 | false | {"mass": "1", "length": "2", "expansion": "-1", "mag_flux": "-2", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"} |
6 | boltzmann,elem_charge,expansion,length,mag_flux,mass | m·ℓ·β·Φ·k_B·e | constants,em,mechanics,thermo | m·ℓ²·β⁻¹·Φ⁻²·k_B·e⁻² | m = k₀ · ℓ⁻²·β·Φ²·k_B⁻¹·e² | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "length": "2", "expansion": "-1", "mag_flux": "-2", "boltzmann": "1", "elem_charge": "-2"} |
7 | concentration,expansion,gas_constant,length,mass,permeability,permittivity | m·ℓ·β·ε·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·β·ε⁻¹·μ₀⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · ℓ³·β⁻¹·ε·μ₀·c_n·R | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "length": "-3", "expansion": "1", "permittivity": "-1", "permeability": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,length,mass,permeability,permittivity | m·ℓ·β·ε·μ₀·R·z | chemistry,em,mechanics,thermo | m²·ℓ⁻²·β²·ε⁻³·μ₀⁻³·R⁻²·z⁻² | m = k₀ · ℓ·β⁻¹·ε³ᐟ²·μ₀³ᐟ²·R·z | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "2", "length": "-2", "expansion": "2", "permittivity": "-3", "permeability": "-3", "gas_constant": "-2", "cat_activity": "-2"} |
7 | amount,conductivity,expansion,gas_constant,length,mass,permittivity | m·ℓ·β·ε·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ²·β·ε⁻²·σ²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·ε²·σ⁻²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-2", "conductivity": "2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,conductivity,expansion,gas_constant,length,mass,permittivity | m·ℓ·β·ε·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·β·ε⁻²·σ²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·β⁻¹·ε²·σ⁻²·c_n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-1", "expansion": "1", "permittivity": "-2", "conductivity": "2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,conductivity,expansion,gas_constant,length,mass,permittivity | m·ℓ·β·ε·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·β·ε⁻³·σ³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·ε³·σ⁻³·R·z | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-3", "conductivity": "3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,conductivity,expansion,gas_constant,length,mass,permittivity | m·ℓ·β·ε·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·β·ε⁻²·σ²·R⁻¹·N_A | m = k₀ · ℓ⁻²·β⁻¹·ε²·σ⁻²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-2", "conductivity": "2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,conductivity,expansion,length,mass,permittivity | m·ℓ·β·ε·σ·k_B | constants,em,mechanics,thermo | m·ℓ²·β·ε⁻²·σ²·k_B⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·ε²·σ⁻²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-2", "conductivity": "2", "boltzmann": "-1"} |
7 | amount,expansion,gas_constant,length,mass,permittivity,resistivity | m·ℓ·β·ε·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·β·ε⁻²·ρ_e⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·ε²·ρ_e²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-2", "resistivity": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,expansion,gas_constant,length,mass,permittivity,resistivity | m·ℓ·β·ε·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·β·ε⁻²·ρ_e⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·β⁻¹·ε²·ρ_e²·c_n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-1", "expansion": "1", "permittivity": "-2", "resistivity": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,length,mass,permittivity,resistivity | m·ℓ·β·ε·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·β·ε⁻³·ρ_e⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·ε³·ρ_e³·R·z | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-3", "resistivity": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,expansion,gas_constant,length,mass,permittivity,resistivity | m·ℓ·β·ε·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·β·ε⁻²·ρ_e⁻²·R⁻¹·N_A | m = k₀ · ℓ⁻²·β⁻¹·ε²·ρ_e²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-2", "resistivity": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,expansion,length,mass,permittivity,resistivity | m·ℓ·β·ε·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ²·β·ε⁻²·ρ_e⁻²·k_B⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·ε²·ρ_e²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "expansion": "1", "permittivity": "-2", "resistivity": "-2", "boltzmann": "-1"} |
7 | elem_charge,expansion,gas_constant,length,mass,molar_mass,permittivity | m·ℓ·β·ε·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·β⁻¹·ε·M_m⁻¹·R·e⁻² | m = k₀ · ℓ⁻¹·β·ε⁻¹·M_m·R⁻¹·e² | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "1", "expansion": "-1", "permittivity": "1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,expansion,gas_constant,length,mass,permittivity | m·ℓ·β·ε·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·β⁻²·ε³·R²·z²·e⁻⁶ | m = k₀ · ℓ⁻⁵·β²·ε⁻³·R⁻²·z⁻²·e⁶ | null | 1 | 5 | 6 | 21 | 19.7 | -11.7 | false | {"mass": "1", "length": "5", "expansion": "-2", "permittivity": "3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-6"} |
7 | amount,conductivity,expansion,gas_constant,length,mass,permeability | m·ℓ·β·μ₀·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·β·μ₀⁻²·σ⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ²·β⁻¹·μ₀²·σ²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "expansion": "1", "permeability": "-2", "conductivity": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,conductivity,expansion,gas_constant,length,mass,permeability | m·ℓ·β·μ₀·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·β·μ₀⁻²·σ⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁵·β⁻¹·μ₀²·σ²·c_n·R | null | 0 | 4 | 5 | 13 | 13 | -4.5 | false | {"mass": "1", "length": "-5", "expansion": "1", "permeability": "-2", "conductivity": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,conductivity,expansion,gas_constant,length,mass,permeability | m·ℓ·β·μ₀·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·β·μ₀⁻³·σ⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁴·β⁻¹·μ₀³·σ³·R·z | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "expansion": "1", "permeability": "-3", "conductivity": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,conductivity,expansion,gas_constant,length,mass,permeability | m·ℓ·β·μ₀·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·β·μ₀⁻²·σ⁻²·R⁻¹·N_A | m = k₀ · ℓ²·β⁻¹·μ₀²·σ²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "-2", "expansion": "1", "permeability": "-2", "conductivity": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,conductivity,expansion,length,mass,permeability | m·ℓ·β·μ₀·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁻²·β·μ₀⁻²·σ⁻²·k_B⁻¹ | m = k₀ · ℓ²·β⁻¹·μ₀²·σ²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "expansion": "1", "permeability": "-2", "conductivity": "-2", "boltzmann": "-1"} |
7 | amount,expansion,gas_constant,length,mass,permeability,resistivity | m·ℓ·β·μ₀·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·β·μ₀⁻²·ρ_e²·n⁻¹·R⁻¹ | m = k₀ · ℓ²·β⁻¹·μ₀²·ρ_e⁻²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "expansion": "1", "permeability": "-2", "resistivity": "2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,expansion,gas_constant,length,mass,permeability,resistivity | m·ℓ·β·μ₀·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·β·μ₀⁻²·ρ_e²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁵·β⁻¹·μ₀²·ρ_e⁻²·c_n·R | null | 0 | 4 | 5 | 13 | 13 | -4.5 | false | {"mass": "1", "length": "-5", "expansion": "1", "permeability": "-2", "resistivity": "2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,length,mass,permeability,resistivity | m·ℓ·β·μ₀·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·β·μ₀⁻³·ρ_e³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁴·β⁻¹·μ₀³·ρ_e⁻³·R·z | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "expansion": "1", "permeability": "-3", "resistivity": "3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,expansion,gas_constant,length,mass,permeability,resistivity | m·ℓ·β·μ₀·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·β·μ₀⁻²·ρ_e²·R⁻¹·N_A | m = k₀ · ℓ²·β⁻¹·μ₀²·ρ_e⁻²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "-2", "expansion": "1", "permeability": "-2", "resistivity": "2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,expansion,length,mass,permeability,resistivity | m·ℓ·β·μ₀·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁻²·β·μ₀⁻²·ρ_e²·k_B⁻¹ | m = k₀ · ℓ²·β⁻¹·μ₀²·ρ_e⁻²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "expansion": "1", "permeability": "-2", "resistivity": "2", "boltzmann": "-1"} |
7 | amount,conductivity,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·σ·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·β⁻¹·σ²·n·R·e⁻⁴ | m = k₀ · ℓ⁻⁴·β·σ⁻²·n⁻¹·R⁻¹·e⁴ | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "expansion": "-1", "conductivity": "2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"} |
7 | conductivity,elem_charge,expansion,gas_constant,length,mass,molar_mass | m·ℓ·β·σ·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁴·β⁻¹·σ²·M_m⁻¹·R·e⁻⁴ | β = k₀ · m²·ℓ⁴·σ²·M_m⁻¹·R·e⁻⁴ | null | 1 | 5 | 4 | 15 | 14.5 | -6.5 | false | {"mass": "2", "length": "4", "expansion": "-1", "conductivity": "2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"} |
7 | concentration,conductivity,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·σ·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁷·β⁻¹·σ²·c_n·R·e⁻⁴ | m = k₀ · ℓ⁻⁷·β·σ⁻²·c_n⁻¹·R⁻¹·e⁴ | null | 1 | 5 | 7 | 17 | 17.4 | -9.4 | false | {"mass": "1", "length": "7", "expansion": "-1", "conductivity": "2", "concentration": "1", "gas_constant": "1", "elem_charge": "-4"} |
7 | cat_activity,conductivity,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·σ·R·z·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁷·β⁻¹·σ³·R·z·e⁻⁶ | β = k₀ · m²·ℓ⁷·σ³·R·z·e⁻⁶ | null | 1 | 5 | 7 | 21 | 20.2 | -12.2 | false | {"mass": "2", "length": "7", "expansion": "-1", "conductivity": "3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-6"} |
7 | avogadro,conductivity,elem_charge,expansion,gas_constant,length,mass | m·ℓ·β·σ·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·β⁻¹·σ²·R·e⁻⁴·N_A⁻¹ | m = k₀ · ℓ⁻⁴·β·σ⁻²·R⁻¹·e⁴·N_A | null | 2 | 5 | 4 | 14 | 14.8 | -8.3 | false | {"mass": "1", "length": "4", "expansion": "-1", "conductivity": "2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"} |
6 | boltzmann,conductivity,elem_charge,expansion,length,mass | m·ℓ·β·σ·k_B·e | constants,em,mechanics,thermo | m·ℓ⁴·β⁻¹·σ²·k_B·e⁻⁴ | m = k₀ · ℓ⁻⁴·β·σ⁻²·k_B⁻¹·e⁴ | null | 2 | 4 | 4 | 13 | 13.2 | -6.2 | false | {"mass": "1", "length": "4", "expansion": "-1", "conductivity": "2", "boltzmann": "1", "elem_charge": "-4"} |
7 | amount,elem_charge,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·ρ_e·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·β⁻¹·ρ_e⁻²·n·R·e⁻⁴ | m = k₀ · ℓ⁻⁴·β·ρ_e²·n⁻¹·R⁻¹·e⁴ | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "expansion": "-1", "resistivity": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"} |
7 | elem_charge,expansion,gas_constant,length,mass,molar_mass,resistivity | m·ℓ·β·ρ_e·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁴·β⁻¹·ρ_e⁻²·M_m⁻¹·R·e⁻⁴ | β = k₀ · m²·ℓ⁴·ρ_e⁻²·M_m⁻¹·R·e⁻⁴ | null | 1 | 5 | 4 | 15 | 14.5 | -6.5 | false | {"mass": "2", "length": "4", "expansion": "-1", "resistivity": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"} |
7 | concentration,elem_charge,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·ρ_e·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁷·β⁻¹·ρ_e⁻²·c_n·R·e⁻⁴ | m = k₀ · ℓ⁻⁷·β·ρ_e²·c_n⁻¹·R⁻¹·e⁴ | null | 1 | 5 | 7 | 17 | 17.4 | -9.4 | false | {"mass": "1", "length": "7", "expansion": "-1", "resistivity": "-2", "concentration": "1", "gas_constant": "1", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·ρ_e·R·z·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁷·β⁻¹·ρ_e⁻³·R·z·e⁻⁶ | β = k₀ · m²·ℓ⁷·ρ_e⁻³·R·z·e⁻⁶ | null | 1 | 5 | 7 | 21 | 20.2 | -12.2 | false | {"mass": "2", "length": "7", "expansion": "-1", "resistivity": "-3", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-6"} |
7 | avogadro,elem_charge,expansion,gas_constant,length,mass,resistivity | m·ℓ·β·ρ_e·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·β⁻¹·ρ_e⁻²·R·e⁻⁴·N_A⁻¹ | m = k₀ · ℓ⁻⁴·β·ρ_e²·R⁻¹·e⁴·N_A | null | 2 | 5 | 4 | 14 | 14.8 | -8.3 | false | {"mass": "1", "length": "4", "expansion": "-1", "resistivity": "-2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"} |
6 | boltzmann,elem_charge,expansion,length,mass,resistivity | m·ℓ·β·ρ_e·k_B·e | constants,em,mechanics,thermo | m·ℓ⁴·β⁻¹·ρ_e⁻²·k_B·e⁻⁴ | m = k₀ · ℓ⁻⁴·β·ρ_e²·k_B⁻¹·e⁴ | null | 2 | 4 | 4 | 13 | 13.2 | -6.2 | false | {"mass": "1", "length": "4", "expansion": "-1", "resistivity": "-2", "boltzmann": "1", "elem_charge": "-4"} |
6 | amount,cat_activity,expansion,gas_constant,length,mass | m·ℓ·β·n·R·z | chemistry,mechanics,thermo | m·ℓ²·β·n⁻³·R⁻¹·z² | m = k₀ · ℓ⁻²·β⁻¹·n³·R·z⁻² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "2", "expansion": "1", "amount": "-3", "gas_constant": "-1", "cat_activity": "2"} |
6 | amount,expansion,gas_constant,grav_const,length,mass | m·ℓ·β·n·R·G | chemistry,constants,mechanics,thermo | m²·ℓ⁻¹·β·n⁻¹·R⁻¹·G | ℓ = k₀ · m²·β·n⁻¹·R⁻¹·G | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "2", "length": "-1", "expansion": "1", "amount": "-1", "gas_constant": "-1", "grav_const": "1"} |
6 | amount,expansion,gas_constant,length,mass,planck | m·ℓ·β·n·R·h | chemistry,constants,mechanics,thermo | m·ℓ²·β⁻¹·n·R·h⁻² | m = k₀ · ℓ⁻²·β·n⁻¹·R⁻¹·h² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "expansion": "-1", "amount": "1", "gas_constant": "1", "planck": "-2"} |
6 | amount,boltzmann,cat_activity,expansion,length,mass | m·ℓ·β·n·z·k_B | chemistry,constants,mechanics,thermo | m·ℓ²·β·n⁻²·z²·k_B⁻¹ | m = k₀ · ℓ⁻²·β⁻¹·n²·z⁻²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "expansion": "1", "amount": "-2", "cat_activity": "2", "boltzmann": "-1"} |
6 | cat_activity,expansion,gas_constant,length,mass,molar_mass | m·ℓ·β·M_m·R·z | chemistry,mechanics,thermo | m²·ℓ⁻²·β⁻¹·M_m⁻³·R·z⁻² | β = k₀ · m²·ℓ⁻²·M_m⁻³·R·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "length": "-2", "expansion": "-1", "molar_mass": "-3", "gas_constant": "1", "cat_activity": "-2"} |
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