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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5 | efield,length,mass,planck,resistivity | m·ℓ·E_f·ρ_e·h | constants,em,mechanics | m²·ℓ⁷·E_f²·ρ_e⁻¹·h⁻³ | ρ_e = k₀ · m²·ℓ⁷·E_f²·h⁻³ | null | 1 | 3 | 7 | 15 | 14.2 | -5.2 | false | {"mass": "2", "length": "7", "efield": "2", "resistivity": "-1", "planck": "-3"} |
5 | efield,elem_charge,length,mass,resistivity | m·ℓ·E_f·ρ_e·e | constants,em,mechanics | m·ℓ⁵·E_f·ρ_e⁻²·e⁻³ | m = k₀ · ℓ⁻⁵·E_f⁻¹·ρ_e²·e³ | null | 1 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "1", "length": "5", "efield": "1", "resistivity": "-2", "elem_charge": "-3"} |
6 | amount,cat_activity,efield,elem_charge,length,mass | m·ℓ·E_f·n·z·e | chemistry,constants,em,mechanics | m·ℓ·E_f⁻¹·n⁻²·z²·e⁻¹ | m = k₀ · ℓ⁻¹·E_f·n²·z⁻²·e | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "1", "efield": "-1", "amount": "-2", "cat_activity": "2", "elem_charge": "-1"} |
6 | efield,elem_charge,length,mass,molar_energy,molar_mass | m·ℓ·E_f·M_m·E_m·e | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻¹·M_m⁻¹·E_m·e⁻¹ | m = k₀ · ℓ·E_f·M_m·E_m⁻¹·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "efield": "-1", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-1"} |
6 | cat_activity,efield,elem_charge,length,mass,molar_mass | m·ℓ·E_f·M_m·z·e | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f·M_m⁻²·z⁻²·e | m = k₀ · ℓ·E_f⁻¹·M_m²·z²·e⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "-1", "efield": "1", "molar_mass": "-2", "cat_activity": "-2", "elem_charge": "1"} |
6 | cat_activity,concentration,efield,elem_charge,length,mass | m·ℓ·E_f·c_n·z·e | chemistry,constants,em,mechanics | m·ℓ⁻⁵·E_f⁻¹·c_n⁻²·z²·e⁻¹ | m = k₀ · ℓ⁵·E_f·c_n²·z⁻²·e | null | 1 | 4 | 5 | 12 | 12 | -3.5 | false | {"mass": "1", "length": "-5", "efield": "-1", "concentration": "-2", "cat_activity": "2", "elem_charge": "-1"} |
6 | cat_activity,efield,elem_charge,length,mass,molar_energy | m·ℓ·E_f·E_m·z·e | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻³·E_m²·z²·e⁻³ | m = k₀ · ℓ·E_f³·E_m⁻²·z⁻²·e³ | null | 1 | 4 | 3 | 12 | 11 | -2.5 | false | {"mass": "1", "length": "-1", "efield": "-3", "molar_energy": "2", "cat_activity": "2", "elem_charge": "-3"} |
7 | boltzmann,cat_activity,efield,elem_charge,gas_constant,length,mass | m·ℓ·E_f·R·z·k_B·e | chemistry,constants,em,mechanics | m·ℓ·E_f⁻¹·R²·z²·k_B⁻²·e⁻¹ | m = k₀ · ℓ⁻¹·E_f·R⁻²·z⁻²·k_B²·e | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"mass": "1", "length": "1", "efield": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2", "elem_charge": "-1"} |
6 | avogadro,cat_activity,efield,elem_charge,length,mass | m·ℓ·E_f·z·e·N_A | chemistry,constants,em,mechanics | m·ℓ·E_f⁻¹·z²·e⁻¹·N_A² | m = k₀ · ℓ⁻¹·E_f·z⁻²·e·N_A⁻² | null | 2 | 4 | 2 | 8 | 8.7 | -1.7 | false | {"mass": "1", "length": "1", "efield": "-1", "cat_activity": "2", "elem_charge": "-1", "avogadro": "2"} |
5 | efield,elem_charge,length,light_speed,mass | m·ℓ·E_f·c₀·e | constants,em,mechanics | m·ℓ⁻¹·E_f⁻¹·c₀²·e⁻¹ | m = k₀ · ℓ·E_f·c₀⁻²·e | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "1", "length": "-1", "efield": "-1", "light_speed": "2", "elem_charge": "-1"} |
5 | efield,elem_charge,grav_const,length,mass | m·ℓ·E_f·G·e | constants,em,mechanics | m²·ℓ⁻²·E_f⁻¹·G·e⁻¹ | E_f = k₀ · m²·ℓ⁻²·G·e⁻¹ | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "2", "length": "-2", "efield": "-1", "grav_const": "1", "elem_charge": "-1"} |
5 | efield,elem_charge,length,mass,planck | m·ℓ·E_f·h·e | constants,em,mechanics | m·ℓ³·E_f·h⁻²·e | m = k₀ · ℓ⁻³·E_f⁻¹·h²·e⁻¹ | null | 2 | 3 | 3 | 8 | 8.3 | -0.8 | false | {"mass": "1", "length": "3", "efield": "1", "planck": "-2", "elem_charge": "1"} |
4 | bfield,length,mass,permittivity | m·ℓ·B·ε | em,mechanics | m·ℓ⁻³·B⁻²·ε⁻¹ | m = k₀ · ℓ³·B²·ε | null | 0 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "length": "-3", "bfield": "-2", "permittivity": "-1"} |
5 | bfield,conductivity,length,mass,permeability | m·ℓ·B·μ₀·σ | em,mechanics | m·ℓ⁻⁵·B⁻²·μ₀⁻¹·σ⁻² | m = k₀ · ℓ⁵·B²·μ₀·σ² | null | 0 | 2 | 5 | 11 | 9.8 | -0.3 | false | {"mass": "1", "length": "-5", "bfield": "-2", "permeability": "-1", "conductivity": "-2"} |
5 | bfield,length,mass,permeability,resistivity | m·ℓ·B·μ₀·ρ_e | em,mechanics | m·ℓ⁻⁵·B⁻²·μ₀⁻¹·ρ_e² | m = k₀ · ℓ⁵·B²·μ₀·ρ_e⁻² | null | 0 | 2 | 5 | 11 | 9.8 | -0.3 | false | {"mass": "1", "length": "-5", "bfield": "-2", "permeability": "-1", "resistivity": "2"} |
6 | amount,bfield,cat_activity,length,mass,permeability | m·ℓ·B·μ₀·n·z | chemistry,em,mechanics | m·ℓ⁻¹·B⁻²·μ₀·n⁻²·z² | m = k₀ · ℓ·B²·μ₀⁻¹·n²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "bfield": "-2", "permeability": "1", "amount": "-2", "cat_activity": "2"} |
6 | bfield,length,mass,molar_energy,molar_mass,permeability | m·ℓ·B·μ₀·M_m·E_m | chemistry,em,mechanics | m·ℓ⁻³·B⁻²·μ₀·M_m⁻¹·E_m | m = k₀ · ℓ³·B²·μ₀⁻¹·M_m·E_m⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "bfield": "-2", "permeability": "1", "molar_mass": "-1", "molar_energy": "1"} |
6 | bfield,cat_activity,length,mass,molar_mass,permeability | m·ℓ·B·μ₀·M_m·z | chemistry,em,mechanics | m·ℓ·B²·μ₀⁻¹·M_m⁻²·z⁻² | m = k₀ · ℓ⁻¹·B⁻²·μ₀·M_m²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "bfield": "2", "permeability": "-1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | bfield,cat_activity,concentration,length,mass,permeability | m·ℓ·B·μ₀·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁷·B⁻²·μ₀·c_n⁻²·z² | m = k₀ · ℓ⁷·B²·μ₀⁻¹·c_n²·z⁻² | null | 0 | 3 | 7 | 15 | 14.5 | -5.5 | false | {"mass": "1", "length": "-7", "bfield": "-2", "permeability": "1", "concentration": "-2", "cat_activity": "2"} |
6 | bfield,cat_activity,length,mass,molar_energy,permeability | m·ℓ·B·μ₀·E_m·z | chemistry,em,mechanics | m·ℓ⁻⁷·B⁻⁶·μ₀³·E_m²·z² | m = k₀ · ℓ⁷·B⁶·μ₀⁻³·E_m⁻²·z⁻² | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "1", "length": "-7", "bfield": "-6", "permeability": "3", "molar_energy": "2", "cat_activity": "2"} |
7 | bfield,boltzmann,cat_activity,gas_constant,length,mass,permeability | m·ℓ·B·μ₀·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻¹·B⁻²·μ₀·R²·z²·k_B⁻² | m = k₀ · ℓ·B²·μ₀⁻¹·R⁻²·z⁻²·k_B² | null | 1 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "bfield": "-2", "permeability": "1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"} |
6 | avogadro,bfield,cat_activity,length,mass,permeability | m·ℓ·B·μ₀·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻¹·B⁻²·μ₀·z²·N_A² | m = k₀ · ℓ·B²·μ₀⁻¹·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-1", "bfield": "-2", "permeability": "1", "cat_activity": "2", "avogadro": "2"} |
5 | bfield,length,light_speed,mass,permeability | m·ℓ·B·μ₀·c₀ | constants,em,mechanics | m·ℓ⁻³·B⁻²·μ₀·c₀² | m = k₀ · ℓ³·B²·μ₀⁻¹·c₀⁻² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "bfield": "-2", "permeability": "1", "light_speed": "2"} |
5 | bfield,grav_const,length,mass,permeability | m·ℓ·B·μ₀·G | constants,em,mechanics | m²·ℓ⁻⁴·B⁻²·μ₀·G | μ₀ = k₀ · m⁻²·ℓ⁴·B²·G⁻¹ | null | 1 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "2", "length": "-4", "bfield": "-2", "permeability": "1", "grav_const": "1"} |
5 | bfield,length,mass,permeability,planck | m·ℓ·B·μ₀·h | constants,em,mechanics | m·ℓ⁵·B²·μ₀⁻¹·h⁻² | m = k₀ · ℓ⁻⁵·B⁻²·μ₀·h² | null | 1 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "5", "bfield": "2", "permeability": "-1", "planck": "-2"} |
6 | amount,bfield,conductivity,length,mass,molar_energy | m·ℓ·B·σ·n·E_m | chemistry,em,mechanics | m·ℓ⁻⁸·B⁻⁴·σ⁻²·n·E_m | m = k₀ · ℓ⁸·B⁴·σ²·n⁻¹·E_m⁻¹ | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "bfield": "-4", "conductivity": "-2", "amount": "1", "molar_energy": "1"} |
6 | amount,bfield,cat_activity,conductivity,length,mass | m·ℓ·B·σ·n·z | chemistry,em,mechanics | m·ℓ⁻³·B⁻²·σ⁻¹·n⁻¹·z | m = k₀ · ℓ³·B²·σ·n·z⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "bfield": "-2", "conductivity": "-1", "amount": "-1", "cat_activity": "1"} |
6 | bfield,conductivity,length,mass,molar_energy,molar_mass | m·ℓ·B·σ·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁸·B⁻⁴·σ⁻²·M_m⁻¹·E_m | M_m = k₀ · m²·ℓ⁻⁸·B⁻⁴·σ⁻²·E_m | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "2", "length": "-8", "bfield": "-4", "conductivity": "-2", "molar_mass": "-1", "molar_energy": "1"} |
6 | bfield,concentration,conductivity,length,mass,molar_energy | m·ℓ·B·σ·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻⁵·B⁻⁴·σ⁻²·c_n·E_m | m = k₀ · ℓ⁵·B⁴·σ²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "bfield": "-4", "conductivity": "-2", "concentration": "1", "molar_energy": "1"} |
6 | bfield,cat_activity,concentration,conductivity,length,mass | m·ℓ·B·σ·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁶·B⁻²·σ⁻¹·c_n⁻¹·z | m = k₀ · ℓ⁶·B²·σ·c_n·z⁻¹ | null | 0 | 3 | 6 | 12 | 11.9 | -2.9 | false | {"mass": "1", "length": "-6", "bfield": "-2", "conductivity": "-1", "concentration": "-1", "cat_activity": "1"} |
7 | bfield,boltzmann,conductivity,gas_constant,length,mass,molar_energy | m·ℓ·B·σ·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁻⁸·B⁻⁴·σ⁻²·E_m·R⁻¹·k_B | m = k₀ · ℓ⁸·B⁴·σ²·E_m⁻¹·R·k_B⁻¹ | null | 1 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "bfield": "-4", "conductivity": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"} |
6 | bfield,cat_activity,conductivity,length,mass,molar_energy | m·ℓ·B·σ·E_m·z | chemistry,em,mechanics | m²·ℓ⁻¹¹·B⁻⁶·σ⁻³·E_m·z | E_m = k₀ · m⁻²·ℓ¹¹·B⁶·σ³·z⁻¹ | null | 0 | 3 | 11 | 24 | 22.8 | -13.8 | false | {"mass": "2", "length": "-11", "bfield": "-6", "conductivity": "-3", "molar_energy": "1", "cat_activity": "1"} |
6 | avogadro,bfield,conductivity,length,mass,molar_energy | m·ℓ·B·σ·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁻⁸·B⁻⁴·σ⁻²·E_m·N_A⁻¹ | m = k₀ · ℓ⁸·B⁴·σ²·E_m⁻¹·N_A | null | 1 | 4 | 8 | 17 | 17 | -8.5 | false | {"mass": "1", "length": "-8", "bfield": "-4", "conductivity": "-2", "molar_energy": "1", "avogadro": "-1"} |
7 | bfield,boltzmann,cat_activity,conductivity,gas_constant,length,mass | m·ℓ·B·σ·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻³·B⁻²·σ⁻¹·R·z·k_B⁻¹ | m = k₀ · ℓ³·B²·σ·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "bfield": "-2", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,bfield,cat_activity,conductivity,length,mass | m·ℓ·B·σ·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻³·B⁻²·σ⁻¹·z·N_A | m = k₀ · ℓ³·B²·σ·z⁻¹·N_A⁻¹ | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "length": "-3", "bfield": "-2", "conductivity": "-1", "cat_activity": "1", "avogadro": "1"} |
5 | bfield,conductivity,length,light_speed,mass | m·ℓ·B·σ·c₀ | constants,em,mechanics | m·ℓ⁻⁴·B⁻²·σ⁻¹·c₀ | m = k₀ · ℓ⁴·B²·σ·c₀⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "length": "-4", "bfield": "-2", "conductivity": "-1", "light_speed": "1"} |
5 | bfield,conductivity,grav_const,length,mass | m·ℓ·B·σ·G | constants,em,mechanics | m³·ℓ⁻⁹·B⁻⁴·σ⁻²·G | G = k₀ · m⁻³·ℓ⁹·B⁴·σ² | null | 1 | 3 | 9 | 19 | 18 | -9 | false | {"mass": "3", "length": "-9", "bfield": "-4", "conductivity": "-2", "grav_const": "1"} |
6 | amount,bfield,length,mass,molar_energy,resistivity | m·ℓ·B·ρ_e·n·E_m | chemistry,em,mechanics | m·ℓ⁻⁸·B⁻⁴·ρ_e²·n·E_m | m = k₀ · ℓ⁸·B⁴·ρ_e⁻²·n⁻¹·E_m⁻¹ | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "bfield": "-4", "resistivity": "2", "amount": "1", "molar_energy": "1"} |
6 | amount,bfield,cat_activity,length,mass,resistivity | m·ℓ·B·ρ_e·n·z | chemistry,em,mechanics | m·ℓ⁻³·B⁻²·ρ_e·n⁻¹·z | m = k₀ · ℓ³·B²·ρ_e⁻¹·n·z⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "bfield": "-2", "resistivity": "1", "amount": "-1", "cat_activity": "1"} |
6 | bfield,length,mass,molar_energy,molar_mass,resistivity | m·ℓ·B·ρ_e·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁸·B⁻⁴·ρ_e²·M_m⁻¹·E_m | M_m = k₀ · m²·ℓ⁻⁸·B⁻⁴·ρ_e²·E_m | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "2", "length": "-8", "bfield": "-4", "resistivity": "2", "molar_mass": "-1", "molar_energy": "1"} |
6 | bfield,concentration,length,mass,molar_energy,resistivity | m·ℓ·B·ρ_e·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻⁵·B⁻⁴·ρ_e²·c_n·E_m | m = k₀ · ℓ⁵·B⁴·ρ_e⁻²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "bfield": "-4", "resistivity": "2", "concentration": "1", "molar_energy": "1"} |
6 | bfield,cat_activity,concentration,length,mass,resistivity | m·ℓ·B·ρ_e·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁶·B⁻²·ρ_e·c_n⁻¹·z | m = k₀ · ℓ⁶·B²·ρ_e⁻¹·c_n·z⁻¹ | null | 0 | 3 | 6 | 12 | 11.9 | -2.9 | false | {"mass": "1", "length": "-6", "bfield": "-2", "resistivity": "1", "concentration": "-1", "cat_activity": "1"} |
7 | bfield,boltzmann,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·B·ρ_e·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁻⁸·B⁻⁴·ρ_e²·E_m·R⁻¹·k_B | m = k₀ · ℓ⁸·B⁴·ρ_e⁻²·E_m⁻¹·R·k_B⁻¹ | null | 1 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "bfield": "-4", "resistivity": "2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"} |
6 | bfield,cat_activity,length,mass,molar_energy,resistivity | m·ℓ·B·ρ_e·E_m·z | chemistry,em,mechanics | m²·ℓ⁻¹¹·B⁻⁶·ρ_e³·E_m·z | E_m = k₀ · m⁻²·ℓ¹¹·B⁶·ρ_e⁻³·z⁻¹ | null | 0 | 3 | 11 | 24 | 22.8 | -13.8 | false | {"mass": "2", "length": "-11", "bfield": "-6", "resistivity": "3", "molar_energy": "1", "cat_activity": "1"} |
6 | avogadro,bfield,length,mass,molar_energy,resistivity | m·ℓ·B·ρ_e·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁻⁸·B⁻⁴·ρ_e²·E_m·N_A⁻¹ | m = k₀ · ℓ⁸·B⁴·ρ_e⁻²·E_m⁻¹·N_A | null | 1 | 4 | 8 | 17 | 17 | -8.5 | false | {"mass": "1", "length": "-8", "bfield": "-4", "resistivity": "2", "molar_energy": "1", "avogadro": "-1"} |
7 | bfield,boltzmann,cat_activity,gas_constant,length,mass,resistivity | m·ℓ·B·ρ_e·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻³·B⁻²·ρ_e·R·z·k_B⁻¹ | m = k₀ · ℓ³·B²·ρ_e⁻¹·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "bfield": "-2", "resistivity": "1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,bfield,cat_activity,length,mass,resistivity | m·ℓ·B·ρ_e·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻³·B⁻²·ρ_e·z·N_A | m = k₀ · ℓ³·B²·ρ_e⁻¹·z⁻¹·N_A⁻¹ | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "length": "-3", "bfield": "-2", "resistivity": "1", "cat_activity": "1", "avogadro": "1"} |
5 | bfield,length,light_speed,mass,resistivity | m·ℓ·B·ρ_e·c₀ | constants,em,mechanics | m·ℓ⁻⁴·B⁻²·ρ_e·c₀ | m = k₀ · ℓ⁴·B²·ρ_e⁻¹·c₀⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "length": "-4", "bfield": "-2", "resistivity": "1", "light_speed": "1"} |
5 | bfield,grav_const,length,mass,resistivity | m·ℓ·B·ρ_e·G | constants,em,mechanics | m³·ℓ⁻⁹·B⁻⁴·ρ_e²·G | G = k₀ · m⁻³·ℓ⁹·B⁴·ρ_e⁻² | null | 1 | 3 | 9 | 19 | 18 | -9 | false | {"mass": "3", "length": "-9", "bfield": "-4", "resistivity": "2", "grav_const": "1"} |
6 | amount,bfield,elem_charge,length,mass,molar_energy | m·ℓ·B·n·E_m·e | chemistry,constants,em,mechanics | m·ℓ⁻²·B⁻²·n·E_m·e⁻² | m = k₀ · ℓ²·B²·n⁻¹·E_m⁻¹·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "bfield": "-2", "amount": "1", "molar_energy": "1", "elem_charge": "-2"} |
6 | bfield,elem_charge,length,mass,molar_energy,molar_mass | m·ℓ·B·M_m·E_m·e | chemistry,constants,em,mechanics | m²·ℓ⁻²·B⁻²·M_m⁻¹·E_m·e⁻² | M_m = k₀ · m²·ℓ⁻²·B⁻²·E_m·e⁻² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "length": "-2", "bfield": "-2", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-2"} |
6 | bfield,concentration,elem_charge,length,mass,molar_energy | m·ℓ·B·c_n·E_m·e | chemistry,constants,em,mechanics | m·ℓ·B⁻²·c_n·E_m·e⁻² | m = k₀ · ℓ⁻¹·B²·c_n⁻¹·E_m⁻¹·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "1", "bfield": "-2", "concentration": "1", "molar_energy": "1", "elem_charge": "-2"} |
6 | bfield,cat_activity,concentration,elem_charge,length,mass | m·ℓ·B·c_n·z·e | chemistry,constants,em,mechanics | m·ℓ⁻³·B⁻¹·c_n⁻¹·z·e⁻¹ | m = k₀ · ℓ³·B·c_n·z⁻¹·e | null | 1 | 4 | 3 | 8 | 8.2 | 0.3 | false | {"mass": "1", "length": "-3", "bfield": "-1", "concentration": "-1", "cat_activity": "1", "elem_charge": "-1"} |
7 | bfield,boltzmann,elem_charge,gas_constant,length,mass,molar_energy | m·ℓ·B·E_m·R·k_B·e | chemistry,constants,em,mechanics | m·ℓ⁻²·B⁻²·E_m·R⁻¹·k_B·e⁻² | m = k₀ · ℓ²·B²·E_m⁻¹·R·k_B⁻¹·e² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"mass": "1", "length": "-2", "bfield": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | bfield,cat_activity,elem_charge,length,mass,molar_energy | m·ℓ·B·E_m·z·e | chemistry,constants,em,mechanics | m²·ℓ⁻²·B⁻³·E_m·z·e⁻³ | E_m = k₀ · m⁻²·ℓ²·B³·z⁻¹·e³ | null | 1 | 4 | 3 | 12 | 11 | -2.5 | false | {"mass": "2", "length": "-2", "bfield": "-3", "molar_energy": "1", "cat_activity": "1", "elem_charge": "-3"} |
6 | avogadro,bfield,elem_charge,length,mass,molar_energy | m·ℓ·B·E_m·e·N_A | chemistry,constants,em,mechanics | m·ℓ⁻²·B⁻²·E_m·e⁻²·N_A⁻¹ | m = k₀ · ℓ²·B²·E_m⁻¹·e²·N_A | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "length": "-2", "bfield": "-2", "molar_energy": "1", "elem_charge": "-2", "avogadro": "-1"} |
5 | bfield,elem_charge,length,light_speed,mass | m·ℓ·B·c₀·e | constants,em,mechanics | m·ℓ⁻¹·B⁻¹·c₀·e⁻¹ | m = k₀ · ℓ·B·c₀⁻¹·e | null | 2 | 3 | 1 | 5 | 5.2 | 2.3 | false | {"mass": "1", "length": "-1", "bfield": "-1", "light_speed": "1", "elem_charge": "-1"} |
5 | bfield,elem_charge,grav_const,length,mass | m·ℓ·B·G·e | constants,em,mechanics | m³·ℓ⁻³·B⁻²·G·e⁻² | G = k₀ · m⁻³·ℓ³·B²·e² | null | 2 | 3 | 3 | 11 | 10.4 | -2.9 | false | {"mass": "3", "length": "-3", "bfield": "-2", "grav_const": "1", "elem_charge": "-2"} |
4 | length,mag_flux,mass,permittivity | m·ℓ·Φ·ε | em,mechanics | m·ℓ·Φ⁻²·ε⁻¹ | m = k₀ · ℓ⁻¹·Φ²·ε | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "length": "1", "mag_flux": "-2", "permittivity": "-1"} |
5 | conductivity,length,mag_flux,mass,permeability | m·ℓ·Φ·μ₀·σ | em,mechanics | m·ℓ⁻¹·Φ⁻²·μ₀⁻¹·σ⁻² | m = k₀ · ℓ·Φ²·μ₀·σ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "mag_flux": "-2", "permeability": "-1", "conductivity": "-2"} |
5 | length,mag_flux,mass,permeability,resistivity | m·ℓ·Φ·μ₀·ρ_e | em,mechanics | m·ℓ⁻¹·Φ⁻²·μ₀⁻¹·ρ_e² | m = k₀ · ℓ·Φ²·μ₀·ρ_e⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "mag_flux": "-2", "permeability": "-1", "resistivity": "2"} |
6 | amount,cat_activity,length,mag_flux,mass,permeability | m·ℓ·Φ·μ₀·n·z | chemistry,em,mechanics | m·ℓ³·Φ⁻²·μ₀·n⁻²·z² | m = k₀ · ℓ⁻³·Φ²·μ₀⁻¹·n²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "mag_flux": "-2", "permeability": "1", "amount": "-2", "cat_activity": "2"} |
6 | length,mag_flux,mass,molar_energy,molar_mass,permeability | m·ℓ·Φ·μ₀·M_m·E_m | chemistry,em,mechanics | m·ℓ·Φ⁻²·μ₀·M_m⁻¹·E_m | m = k₀ · ℓ⁻¹·Φ²·μ₀⁻¹·M_m·E_m⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "permeability": "1", "molar_mass": "-1", "molar_energy": "1"} |
6 | cat_activity,length,mag_flux,mass,molar_mass,permeability | m·ℓ·Φ·μ₀·M_m·z | chemistry,em,mechanics | m·ℓ⁻³·Φ²·μ₀⁻¹·M_m⁻²·z⁻² | m = k₀ · ℓ³·Φ⁻²·μ₀·M_m²·z² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "mag_flux": "2", "permeability": "-1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | cat_activity,concentration,length,mag_flux,mass,permeability | m·ℓ·Φ·μ₀·c_n·z | chemistry,em,mechanics | m·ℓ⁻³·Φ⁻²·μ₀·c_n⁻²·z² | m = k₀ · ℓ³·Φ²·μ₀⁻¹·c_n²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "mag_flux": "-2", "permeability": "1", "concentration": "-2", "cat_activity": "2"} |
6 | cat_activity,length,mag_flux,mass,molar_energy,permeability | m·ℓ·Φ·μ₀·E_m·z | chemistry,em,mechanics | m·ℓ⁵·Φ⁻⁶·μ₀³·E_m²·z² | m = k₀ · ℓ⁻⁵·Φ⁶·μ₀⁻³·E_m⁻²·z⁻² | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "5", "mag_flux": "-6", "permeability": "3", "molar_energy": "2", "cat_activity": "2"} |
7 | boltzmann,cat_activity,gas_constant,length,mag_flux,mass,permeability | m·ℓ·Φ·μ₀·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ³·Φ⁻²·μ₀·R²·z²·k_B⁻² | m = k₀ · ℓ⁻³·Φ²·μ₀⁻¹·R⁻²·z⁻²·k_B² | null | 1 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "mag_flux": "-2", "permeability": "1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"} |
6 | avogadro,cat_activity,length,mag_flux,mass,permeability | m·ℓ·Φ·μ₀·z·N_A | chemistry,constants,em,mechanics | m·ℓ³·Φ⁻²·μ₀·z²·N_A² | m = k₀ · ℓ⁻³·Φ²·μ₀⁻¹·z⁻²·N_A⁻² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "3", "mag_flux": "-2", "permeability": "1", "cat_activity": "2", "avogadro": "2"} |
5 | length,light_speed,mag_flux,mass,permeability | m·ℓ·Φ·μ₀·c₀ | constants,em,mechanics | m·ℓ·Φ⁻²·μ₀·c₀² | m = k₀ · ℓ⁻¹·Φ²·μ₀⁻¹·c₀⁻² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "permeability": "1", "light_speed": "2"} |
5 | length,mag_flux,mass,permeability,planck | m·ℓ·Φ·μ₀·h | constants,em,mechanics | m·ℓ·Φ²·μ₀⁻¹·h⁻² | m = k₀ · ℓ⁻¹·Φ⁻²·μ₀·h² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "1", "mag_flux": "2", "permeability": "-1", "planck": "-2"} |
6 | amount,cat_activity,conductivity,length,mag_flux,mass | m·ℓ·Φ·σ·n·z | chemistry,em,mechanics | m·ℓ·Φ⁻²·σ⁻¹·n⁻¹·z | m = k₀ · ℓ⁻¹·Φ²·σ·n·z⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "conductivity": "-1", "amount": "-1", "cat_activity": "1"} |
6 | concentration,conductivity,length,mag_flux,mass,molar_energy | m·ℓ·Φ·σ·c_n·E_m | chemistry,em,mechanics | m·ℓ³·Φ⁻⁴·σ⁻²·c_n·E_m | m = k₀ · ℓ⁻³·Φ⁴·σ²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "3", "mag_flux": "-4", "conductivity": "-2", "concentration": "1", "molar_energy": "1"} |
6 | cat_activity,concentration,conductivity,length,mag_flux,mass | m·ℓ·Φ·σ·c_n·z | chemistry,em,mechanics | m·ℓ⁻²·Φ⁻²·σ⁻¹·c_n⁻¹·z | m = k₀ · ℓ²·Φ²·σ·c_n·z⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "mag_flux": "-2", "conductivity": "-1", "concentration": "-1", "cat_activity": "1"} |
6 | cat_activity,conductivity,length,mag_flux,mass,molar_energy | m·ℓ·Φ·σ·E_m·z | chemistry,em,mechanics | m²·ℓ·Φ⁻⁶·σ⁻³·E_m·z | ℓ = k₀ · m⁻²·Φ⁶·σ³·E_m⁻¹·z⁻¹ | null | 0 | 3 | 6 | 14 | 13.3 | -4.3 | false | {"mass": "2", "length": "1", "mag_flux": "-6", "conductivity": "-3", "molar_energy": "1", "cat_activity": "1"} |
7 | boltzmann,cat_activity,conductivity,gas_constant,length,mag_flux,mass | m·ℓ·Φ·σ·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ·Φ⁻²·σ⁻¹·R·z·k_B⁻¹ | m = k₀ · ℓ⁻¹·Φ²·σ·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,cat_activity,conductivity,length,mag_flux,mass | m·ℓ·Φ·σ·z·N_A | chemistry,constants,em,mechanics | m·ℓ·Φ⁻²·σ⁻¹·z·N_A | m = k₀ · ℓ⁻¹·Φ²·σ·z⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "conductivity": "-1", "cat_activity": "1", "avogadro": "1"} |
5 | conductivity,grav_const,length,mag_flux,mass | m·ℓ·Φ·σ·G | constants,em,mechanics | m³·ℓ⁻¹·Φ⁻⁴·σ⁻²·G | ℓ = k₀ · m³·Φ⁻⁴·σ⁻²·G | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "3", "length": "-1", "mag_flux": "-4", "conductivity": "-2", "grav_const": "1"} |
6 | amount,cat_activity,length,mag_flux,mass,resistivity | m·ℓ·Φ·ρ_e·n·z | chemistry,em,mechanics | m·ℓ·Φ⁻²·ρ_e·n⁻¹·z | m = k₀ · ℓ⁻¹·Φ²·ρ_e⁻¹·n·z⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "resistivity": "1", "amount": "-1", "cat_activity": "1"} |
6 | concentration,length,mag_flux,mass,molar_energy,resistivity | m·ℓ·Φ·ρ_e·c_n·E_m | chemistry,em,mechanics | m·ℓ³·Φ⁻⁴·ρ_e²·c_n·E_m | m = k₀ · ℓ⁻³·Φ⁴·ρ_e⁻²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "3", "mag_flux": "-4", "resistivity": "2", "concentration": "1", "molar_energy": "1"} |
6 | cat_activity,concentration,length,mag_flux,mass,resistivity | m·ℓ·Φ·ρ_e·c_n·z | chemistry,em,mechanics | m·ℓ⁻²·Φ⁻²·ρ_e·c_n⁻¹·z | m = k₀ · ℓ²·Φ²·ρ_e⁻¹·c_n·z⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "mag_flux": "-2", "resistivity": "1", "concentration": "-1", "cat_activity": "1"} |
6 | cat_activity,length,mag_flux,mass,molar_energy,resistivity | m·ℓ·Φ·ρ_e·E_m·z | chemistry,em,mechanics | m²·ℓ·Φ⁻⁶·ρ_e³·E_m·z | ℓ = k₀ · m⁻²·Φ⁶·ρ_e⁻³·E_m⁻¹·z⁻¹ | null | 0 | 3 | 6 | 14 | 13.3 | -4.3 | false | {"mass": "2", "length": "1", "mag_flux": "-6", "resistivity": "3", "molar_energy": "1", "cat_activity": "1"} |
7 | boltzmann,cat_activity,gas_constant,length,mag_flux,mass,resistivity | m·ℓ·Φ·ρ_e·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ·Φ⁻²·ρ_e·R·z·k_B⁻¹ | m = k₀ · ℓ⁻¹·Φ²·ρ_e⁻¹·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "resistivity": "1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,cat_activity,length,mag_flux,mass,resistivity | m·ℓ·Φ·ρ_e·z·N_A | chemistry,constants,em,mechanics | m·ℓ·Φ⁻²·ρ_e·z·N_A | m = k₀ · ℓ⁻¹·Φ²·ρ_e⁻¹·z⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "1", "mag_flux": "-2", "resistivity": "1", "cat_activity": "1", "avogadro": "1"} |
5 | grav_const,length,mag_flux,mass,resistivity | m·ℓ·Φ·ρ_e·G | constants,em,mechanics | m³·ℓ⁻¹·Φ⁻⁴·ρ_e²·G | ℓ = k₀ · m³·Φ⁻⁴·ρ_e²·G | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "3", "length": "-1", "mag_flux": "-4", "resistivity": "2", "grav_const": "1"} |
6 | amount,elem_charge,length,mag_flux,mass,molar_energy | m·ℓ·Φ·n·E_m·e | chemistry,constants,em,mechanics | m·ℓ²·Φ⁻²·n·E_m·e⁻² | m = k₀ · ℓ⁻²·Φ²·n⁻¹·E_m⁻¹·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "mag_flux": "-2", "amount": "1", "molar_energy": "1", "elem_charge": "-2"} |
6 | amount,cat_activity,elem_charge,length,mag_flux,mass | m·ℓ·Φ·n·z·e | chemistry,constants,em,mechanics | m·ℓ²·Φ⁻¹·n⁻¹·z·e⁻¹ | m = k₀ · ℓ⁻²·Φ·n·z⁻¹·e | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "2", "mag_flux": "-1", "amount": "-1", "cat_activity": "1", "elem_charge": "-1"} |
6 | elem_charge,length,mag_flux,mass,molar_energy,molar_mass | m·ℓ·Φ·M_m·E_m·e | chemistry,constants,em,mechanics | m²·ℓ²·Φ⁻²·M_m⁻¹·E_m·e⁻² | M_m = k₀ · m²·ℓ²·Φ⁻²·E_m·e⁻² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "length": "2", "mag_flux": "-2", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-2"} |
6 | concentration,elem_charge,length,mag_flux,mass,molar_energy | m·ℓ·Φ·c_n·E_m·e | chemistry,constants,em,mechanics | m·ℓ⁵·Φ⁻²·c_n·E_m·e⁻² | m = k₀ · ℓ⁻⁵·Φ²·c_n⁻¹·E_m⁻¹·e² | null | 1 | 4 | 5 | 12 | 12 | -3.5 | false | {"mass": "1", "length": "5", "mag_flux": "-2", "concentration": "1", "molar_energy": "1", "elem_charge": "-2"} |
6 | cat_activity,concentration,elem_charge,length,mag_flux,mass | m·ℓ·Φ·c_n·z·e | chemistry,constants,em,mechanics | m·ℓ⁻¹·Φ⁻¹·c_n⁻¹·z·e⁻¹ | m = k₀ · ℓ·Φ·c_n·z⁻¹·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "-1", "mag_flux": "-1", "concentration": "-1", "cat_activity": "1", "elem_charge": "-1"} |
7 | boltzmann,elem_charge,gas_constant,length,mag_flux,mass,molar_energy | m·ℓ·Φ·E_m·R·k_B·e | chemistry,constants,em,mechanics | m·ℓ²·Φ⁻²·E_m·R⁻¹·k_B·e⁻² | m = k₀ · ℓ⁻²·Φ²·E_m⁻¹·R·k_B⁻¹·e² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"mass": "1", "length": "2", "mag_flux": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | cat_activity,elem_charge,length,mag_flux,mass,molar_energy | m·ℓ·Φ·E_m·z·e | chemistry,constants,em,mechanics | m²·ℓ⁴·Φ⁻³·E_m·z·e⁻³ | E_m = k₀ · m⁻²·ℓ⁻⁴·Φ³·z⁻¹·e³ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "2", "length": "4", "mag_flux": "-3", "molar_energy": "1", "cat_activity": "1", "elem_charge": "-3"} |
6 | avogadro,elem_charge,length,mag_flux,mass,molar_energy | m·ℓ·Φ·E_m·e·N_A | chemistry,constants,em,mechanics | m·ℓ²·Φ⁻²·E_m·e⁻²·N_A⁻¹ | m = k₀ · ℓ⁻²·Φ²·E_m⁻¹·e²·N_A | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "length": "2", "mag_flux": "-2", "molar_energy": "1", "elem_charge": "-2", "avogadro": "-1"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,length,mag_flux,mass | m·ℓ·Φ·R·z·k_B·e | chemistry,constants,em,mechanics | m·ℓ²·Φ⁻¹·R·z·k_B⁻¹·e⁻¹ | m = k₀ · ℓ⁻²·Φ·R⁻¹·z⁻¹·k_B·e | null | 2 | 4 | 2 | 8 | 9 | -2 | false | {"mass": "1", "length": "2", "mag_flux": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1", "elem_charge": "-1"} |
6 | avogadro,cat_activity,elem_charge,length,mag_flux,mass | m·ℓ·Φ·z·e·N_A | chemistry,constants,em,mechanics | m·ℓ²·Φ⁻¹·z·e⁻¹·N_A | m = k₀ · ℓ⁻²·Φ·z⁻¹·e·N_A⁻¹ | null | 2 | 4 | 2 | 7 | 8 | -1 | false | {"mass": "1", "length": "2", "mag_flux": "-1", "cat_activity": "1", "elem_charge": "-1", "avogadro": "1"} |
5 | elem_charge,length,light_speed,mag_flux,mass | m·ℓ·Φ·c₀·e | constants,em,mechanics | m·ℓ·Φ⁻¹·c₀·e⁻¹ | m = k₀ · ℓ⁻¹·Φ·c₀⁻¹·e | null | 2 | 3 | 1 | 5 | 5.2 | 2.3 | false | {"mass": "1", "length": "1", "mag_flux": "-1", "light_speed": "1", "elem_charge": "-1"} |
5 | elem_charge,grav_const,length,mag_flux,mass | m·ℓ·Φ·G·e | constants,em,mechanics | m³·ℓ·Φ⁻²·G·e⁻² | ℓ = k₀ · m⁻³·Φ²·G⁻¹·e² | null | 2 | 3 | 3 | 9 | 9 | -1.5 | false | {"mass": "3", "length": "1", "mag_flux": "-2", "grav_const": "1", "elem_charge": "-2"} |
6 | cat_activity,length,mass,molar_mass,permeability,permittivity | m·ℓ·ε·μ₀·M_m·z | chemistry,em,mechanics | m²·ℓ⁻²·ε⁻¹·μ₀⁻¹·M_m⁻²·z⁻² | ε = k₀ · m²·ℓ⁻²·μ₀⁻¹·M_m⁻²·z⁻² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "length": "-2", "permittivity": "-1", "permeability": "-1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,length,mass,molar_energy,permeability,permittivity | m·ℓ·ε·μ₀·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·ε⁻¹·μ₀⁻¹·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ³·ε·μ₀·c_n·E_m | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "-3", "permittivity": "-1", "permeability": "-1", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,length,mass,molar_energy,permeability,permittivity | m·ℓ·ε·μ₀·E_m·z | chemistry,em,mechanics | m²·ℓ⁻²·ε⁻³·μ₀⁻³·E_m⁻²·z⁻² | m = k₀ · ℓ·ε³ᐟ²·μ₀³ᐟ²·E_m·z | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "length": "-2", "permittivity": "-3", "permeability": "-3", "molar_energy": "-2", "cat_activity": "-2"} |
5 | grav_const,length,mass,permeability,permittivity | m·ℓ·ε·μ₀·G | constants,em,mechanics | m·ℓ⁻¹·ε·μ₀·G | m = k₀ · ℓ·ε⁻¹·μ₀⁻¹·G⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "-1", "permittivity": "1", "permeability": "1", "grav_const": "1"} |
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