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 | bfield,grav_const,mass,permittivity,velocity | m·v·B·ε·G | constants,em,mechanics | m²·v⁻⁶·B²·ε·G³ | ε = k₀ · m⁻²·v⁶·B⁻²·G⁻³ | null | 1 | 3 | 6 | 14 | 13 | -4 | false | {"mass": "2", "velocity": "-6", "bfield": "2", "permittivity": "1", "grav_const": "3"} |
5 | bfield,mass,permittivity,planck,velocity | m·v·B·ε·h | constants,em,mechanics | m⁴·v³·B⁻²·ε⁻¹·h⁻³ | ε = k₀ · m⁴·v³·B⁻²·h⁻³ | null | 1 | 3 | 4 | 13 | 11.3 | -2.3 | false | {"mass": "4", "velocity": "3", "bfield": "-2", "permittivity": "-1", "planck": "-3"} |
5 | bfield,elem_charge,mass,permittivity,velocity | m·v·B·ε·e | constants,em,mechanics | m²·v³·B⁻¹·ε·e⁻³ | B = k₀ · m²·v³·ε·e⁻³ | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "2", "velocity": "3", "bfield": "-1", "permittivity": "1", "elem_charge": "-3"} |
5 | bfield,conductivity,mass,permeability,velocity | m·v·B·μ₀·σ | em,mechanics | m·v⁵·B⁻²·μ₀⁴·σ³ | m = k₀ · v⁻⁵·B²·μ₀⁻⁴·σ⁻³ | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "1", "velocity": "5", "bfield": "-2", "permeability": "4", "conductivity": "3"} |
5 | bfield,mass,permeability,resistivity,velocity | m·v·B·μ₀·ρ_e | em,mechanics | m·v⁵·B⁻²·μ₀⁴·ρ_e⁻³ | m = k₀ · v⁻⁵·B²·μ₀⁻⁴·ρ_e³ | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "1", "velocity": "5", "bfield": "-2", "permeability": "4", "resistivity": "-3"} |
6 | amount,bfield,concentration,mass,permeability,velocity | m·v·B·μ₀·n·c_n | chemistry,em,mechanics | m·v²·B⁻²·μ₀·n⁻¹·c_n | m = k₀ · v⁻²·B²·μ₀⁻¹·n·c_n⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "2", "bfield": "-2", "permeability": "1", "amount": "-1", "concentration": "1"} |
6 | amount,bfield,cat_activity,mass,permeability,velocity | m·v·B·μ₀·n·z | chemistry,em,mechanics | m·v⁻¹·B⁻²·μ₀·n⁻³·z³ | m = k₀ · v·B²·μ₀⁻¹·n³·z⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "velocity": "-1", "bfield": "-2", "permeability": "1", "amount": "-3", "cat_activity": "3"} |
6 | bfield,cat_activity,mass,molar_mass,permeability,velocity | m·v·B·μ₀·M_m·z | chemistry,em,mechanics | m²·v·B²·μ₀⁻¹·M_m⁻³·z⁻³ | v = k₀ · m⁻²·B⁻²·μ₀·M_m³·z³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "2", "velocity": "1", "bfield": "2", "permeability": "-1", "molar_mass": "-3", "cat_activity": "-3"} |
7 | bfield,boltzmann,concentration,gas_constant,mass,permeability,velocity | m·v·B·μ₀·c_n·R·k_B | chemistry,constants,em,mechanics | m·v²·B⁻²·μ₀·c_n·R·k_B⁻¹ | m = k₀ · v⁻²·B²·μ₀⁻¹·c_n⁻¹·R⁻¹·k_B | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "velocity": "2", "bfield": "-2", "permeability": "1", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | bfield,cat_activity,concentration,mass,permeability,velocity | m·v·B·μ₀·c_n·z | chemistry,em,mechanics | m²·v⁷·B⁻⁴·μ₀²·c_n³·z⁻³ | m = k₀ · v⁻⁷ᐟ²·B²·μ₀⁻¹·c_n⁻³ᐟ²·z³ᐟ² | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "2", "velocity": "7", "bfield": "-4", "permeability": "2", "concentration": "3", "cat_activity": "-3"} |
6 | avogadro,bfield,concentration,mass,permeability,velocity | m·v·B·μ₀·c_n·N_A | chemistry,constants,em,mechanics | m·v²·B⁻²·μ₀·c_n·N_A | m = k₀ · v⁻²·B²·μ₀⁻¹·c_n⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "2", "bfield": "-2", "permeability": "1", "concentration": "1", "avogadro": "1"} |
6 | bfield,cat_activity,mass,molar_energy,permeability,velocity | m·v·B·μ₀·E_m·z | chemistry,em,mechanics | m²·v⁷·B²·μ₀⁻¹·E_m⁻³·z⁻³ | μ₀ = k₀ · m²·v⁷·B²·E_m⁻³·z⁻³ | null | 0 | 3 | 7 | 18 | 16.6 | -7.6 | false | {"mass": "2", "velocity": "7", "bfield": "2", "permeability": "-1", "molar_energy": "-3", "cat_activity": "-3"} |
7 | bfield,boltzmann,cat_activity,gas_constant,mass,permeability,velocity | m·v·B·μ₀·R·z·k_B | chemistry,constants,em,mechanics | m·v⁻¹·B⁻²·μ₀·R³·z³·k_B⁻³ | m = k₀ · v·B²·μ₀⁻¹·R⁻³·z⁻³·k_B³ | null | 1 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "velocity": "-1", "bfield": "-2", "permeability": "1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"} |
6 | avogadro,bfield,cat_activity,mass,permeability,velocity | m·v·B·μ₀·z·N_A | chemistry,constants,em,mechanics | m·v⁻¹·B⁻²·μ₀·z³·N_A³ | m = k₀ · v·B²·μ₀⁻¹·z⁻³·N_A⁻³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "velocity": "-1", "bfield": "-2", "permeability": "1", "cat_activity": "3", "avogadro": "3"} |
6 | bfield,illuminance,lum_intensity,mass,permeability,velocity | m·v·B·μ₀·I_v·E_v | em,mechanics,photometry | m²·v⁴·B⁻⁴·μ₀²·I_v⁻³·E_v³ | m = k₀ · v⁻²·B²·μ₀⁻¹·I_v³ᐟ²·E_v⁻³ᐟ² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "velocity": "4", "bfield": "-4", "permeability": "2", "lum_intensity": "-3", "illuminance": "3"} |
6 | bfield,lum_intensity,luminance,mass,permeability,velocity | m·v·B·μ₀·I_v·L_v | em,mechanics,photometry | m²·v⁴·B⁻⁴·μ₀²·I_v⁻³·L_v³ | m = k₀ · v⁻²·B²·μ₀⁻¹·I_v³ᐟ²·L_v⁻³ᐟ² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "velocity": "4", "bfield": "-4", "permeability": "2", "lum_intensity": "-3", "luminance": "3"} |
5 | bfield,grav_const,mass,permeability,velocity | m·v·B·μ₀·G | constants,em,mechanics | m²·v⁻⁸·B²·μ₀⁻¹·G³ | μ₀ = k₀ · m²·v⁻⁸·B²·G³ | null | 1 | 3 | 8 | 16 | 15.4 | -6.4 | false | {"mass": "2", "velocity": "-8", "bfield": "2", "permeability": "-1", "grav_const": "3"} |
5 | bfield,mass,permeability,planck,velocity | m·v·B·μ₀·h | constants,em,mechanics | m⁴·v⁵·B⁻²·μ₀·h⁻³ | μ₀ = k₀ · m⁻⁴·v⁻⁵·B²·h³ | null | 1 | 3 | 5 | 15 | 13.2 | -4.2 | false | {"mass": "4", "velocity": "5", "bfield": "-2", "permeability": "1", "planck": "-3"} |
5 | bfield,elem_charge,mass,permeability,velocity | m·v·B·μ₀·e | constants,em,mechanics | m²·v·B⁻¹·μ₀⁻¹·e⁻³ | v = k₀ · m⁻²·B·μ₀·e³ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "2", "velocity": "1", "bfield": "-1", "permeability": "-1", "elem_charge": "-3"} |
6 | amount,bfield,concentration,conductivity,mass,velocity | m·v·B·σ·n·c_n | chemistry,em,mechanics | m³·v³·B⁻⁶·σ⁻³·n⁻⁴·c_n⁴ | m = k₀ · v⁻¹·B²·σ·n⁴ᐟ³·c_n⁻⁴ᐟ³ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "3", "velocity": "3", "bfield": "-6", "conductivity": "-3", "amount": "-4", "concentration": "4"} |
6 | amount,bfield,cat_activity,conductivity,mass,velocity | m·v·B·σ·n·z | chemistry,em,mechanics | m·v⁻³·B⁻²·σ⁻¹·n⁻⁴·z⁴ | m = k₀ · v³·B²·σ·n⁴·z⁻⁴ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "velocity": "-3", "bfield": "-2", "conductivity": "-1", "amount": "-4", "cat_activity": "4"} |
6 | bfield,concentration,conductivity,mass,molar_mass,velocity | m·v·B·σ·M_m·c_n | chemistry,em,mechanics | m·v⁻³·B⁶·σ³·M_m⁻⁴·c_n⁻⁴ | m = k₀ · v³·B⁻⁶·σ⁻³·M_m⁴·c_n⁴ | null | 0 | 3 | 6 | 21 | 18.2 | -9.2 | false | {"mass": "1", "velocity": "-3", "bfield": "6", "conductivity": "3", "molar_mass": "-4", "concentration": "-4"} |
6 | bfield,cat_activity,conductivity,mass,molar_mass,velocity | m·v·B·σ·M_m·z | chemistry,em,mechanics | m³·v³·B²·σ·M_m⁻⁴·z⁻⁴ | σ = k₀ · m⁻³·v⁻³·B⁻²·M_m⁴·z⁴ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "3", "velocity": "3", "bfield": "2", "conductivity": "1", "molar_mass": "-4", "cat_activity": "-4"} |
6 | bfield,concentration,conductivity,mass,molar_energy,velocity | m·v·B·σ·c_n·E_m | chemistry,em,mechanics | m·v⁵·B⁶·σ³·c_n⁻⁴·E_m⁻⁴ | m = k₀ · v⁻⁵·B⁻⁶·σ⁻³·c_n⁴·E_m⁴ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "velocity": "5", "bfield": "6", "conductivity": "3", "concentration": "-4", "molar_energy": "-4"} |
7 | bfield,boltzmann,concentration,conductivity,gas_constant,mass,velocity | m·v·B·σ·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v³·B⁻⁶·σ⁻³·c_n⁴·R⁴·k_B⁻⁴ | m = k₀ · v⁻¹·B²·σ·c_n⁻⁴ᐟ³·R⁻⁴ᐟ³·k_B⁴ᐟ³ | null | 1 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "3", "velocity": "3", "bfield": "-6", "conductivity": "-3", "concentration": "4", "gas_constant": "4", "boltzmann": "-4"} |
6 | bfield,cat_activity,concentration,conductivity,mass,velocity | m·v·B·σ·c_n·z | chemistry,em,mechanics | m·v³·B⁻²·σ⁻¹·c_n²·z⁻² | m = k₀ · v⁻³·B²·σ·c_n⁻²·z² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "velocity": "3", "bfield": "-2", "conductivity": "-1", "concentration": "2", "cat_activity": "-2"} |
6 | avogadro,bfield,concentration,conductivity,mass,velocity | m·v·B·σ·c_n·N_A | chemistry,constants,em,mechanics | m³·v³·B⁻⁶·σ⁻³·c_n⁴·N_A⁴ | m = k₀ · v⁻¹·B²·σ·c_n⁻⁴ᐟ³·N_A⁻⁴ᐟ³ | null | 1 | 4 | 6 | 23 | 20.2 | -11.7 | false | {"mass": "3", "velocity": "3", "bfield": "-6", "conductivity": "-3", "concentration": "4", "avogadro": "4"} |
6 | bfield,cat_activity,conductivity,mass,molar_energy,velocity | m·v·B·σ·E_m·z | chemistry,em,mechanics | m³·v¹¹·B²·σ·E_m⁻⁴·z⁻⁴ | σ = k₀ · m⁻³·v⁻¹¹·B⁻²·E_m⁴·z⁴ | null | 0 | 3 | 11 | 25 | 23.5 | -14.5 | false | {"mass": "3", "velocity": "11", "bfield": "2", "conductivity": "1", "molar_energy": "-4", "cat_activity": "-4"} |
7 | bfield,boltzmann,cat_activity,conductivity,gas_constant,mass,velocity | m·v·B·σ·R·z·k_B | chemistry,constants,em,mechanics | m·v⁻³·B⁻²·σ⁻¹·R⁴·z⁴·k_B⁻⁴ | m = k₀ · v³·B²·σ·R⁻⁴·z⁻⁴·k_B⁴ | null | 1 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "velocity": "-3", "bfield": "-2", "conductivity": "-1", "gas_constant": "4", "cat_activity": "4", "boltzmann": "-4"} |
6 | avogadro,bfield,cat_activity,conductivity,mass,velocity | m·v·B·σ·z·N_A | chemistry,constants,em,mechanics | m·v⁻³·B⁻²·σ⁻¹·z⁴·N_A⁴ | m = k₀ · v³·B²·σ·z⁻⁴·N_A⁻⁴ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "velocity": "-3", "bfield": "-2", "conductivity": "-1", "cat_activity": "4", "avogadro": "4"} |
6 | bfield,conductivity,illuminance,lum_intensity,mass,velocity | m·v·B·σ·I_v·E_v | em,mechanics,photometry | m·v·B⁻²·σ⁻¹·I_v⁻²·E_v² | m = k₀ · v⁻¹·B²·σ·I_v²·E_v⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "1", "bfield": "-2", "conductivity": "-1", "lum_intensity": "-2", "illuminance": "2"} |
6 | bfield,conductivity,lum_intensity,luminance,mass,velocity | m·v·B·σ·I_v·L_v | em,mechanics,photometry | m·v·B⁻²·σ⁻¹·I_v⁻²·L_v² | m = k₀ · v⁻¹·B²·σ·I_v²·L_v⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "1", "bfield": "-2", "conductivity": "-1", "lum_intensity": "-2", "luminance": "2"} |
5 | bfield,conductivity,grav_const,mass,velocity | m·v·B·σ·G | constants,em,mechanics | m³·v⁻⁹·B²·σ·G⁴ | σ = k₀ · m⁻³·v⁹·B⁻²·G⁻⁴ | null | 1 | 3 | 9 | 19 | 18 | -9 | false | {"mass": "3", "velocity": "-9", "bfield": "2", "conductivity": "1", "grav_const": "4"} |
5 | bfield,conductivity,mass,planck,velocity | m·v·B·σ·h | constants,em,mechanics | m⁵·v⁵·B⁻²·σ⁻¹·h⁻⁴ | σ = k₀ · m⁵·v⁵·B⁻²·h⁻⁴ | null | 1 | 3 | 5 | 17 | 14.6 | -5.6 | false | {"mass": "5", "velocity": "5", "bfield": "-2", "conductivity": "-1", "planck": "-4"} |
5 | bfield,conductivity,elem_charge,mass,velocity | m·v·B·σ·e | constants,em,mechanics | m³·v³·B⁻²·σ·e⁻⁴ | σ = k₀ · m⁻³·v⁻³·B²·e⁴ | null | 1 | 3 | 4 | 13 | 11.3 | -2.3 | false | {"mass": "3", "velocity": "3", "bfield": "-2", "conductivity": "1", "elem_charge": "-4"} |
6 | amount,bfield,concentration,mass,resistivity,velocity | m·v·B·ρ_e·n·c_n | chemistry,em,mechanics | m³·v³·B⁻⁶·ρ_e³·n⁻⁴·c_n⁴ | m = k₀ · v⁻¹·B²·ρ_e⁻¹·n⁴ᐟ³·c_n⁻⁴ᐟ³ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "3", "velocity": "3", "bfield": "-6", "resistivity": "3", "amount": "-4", "concentration": "4"} |
6 | amount,bfield,cat_activity,mass,resistivity,velocity | m·v·B·ρ_e·n·z | chemistry,em,mechanics | m·v⁻³·B⁻²·ρ_e·n⁻⁴·z⁴ | m = k₀ · v³·B²·ρ_e⁻¹·n⁴·z⁻⁴ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "velocity": "-3", "bfield": "-2", "resistivity": "1", "amount": "-4", "cat_activity": "4"} |
6 | bfield,concentration,mass,molar_mass,resistivity,velocity | m·v·B·ρ_e·M_m·c_n | chemistry,em,mechanics | m·v⁻³·B⁶·ρ_e⁻³·M_m⁻⁴·c_n⁻⁴ | m = k₀ · v³·B⁻⁶·ρ_e³·M_m⁴·c_n⁴ | null | 0 | 3 | 6 | 21 | 18.2 | -9.2 | false | {"mass": "1", "velocity": "-3", "bfield": "6", "resistivity": "-3", "molar_mass": "-4", "concentration": "-4"} |
6 | bfield,cat_activity,mass,molar_mass,resistivity,velocity | m·v·B·ρ_e·M_m·z | chemistry,em,mechanics | m³·v³·B²·ρ_e⁻¹·M_m⁻⁴·z⁻⁴ | ρ_e = k₀ · m³·v³·B²·M_m⁻⁴·z⁻⁴ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "3", "velocity": "3", "bfield": "2", "resistivity": "-1", "molar_mass": "-4", "cat_activity": "-4"} |
6 | bfield,concentration,mass,molar_energy,resistivity,velocity | m·v·B·ρ_e·c_n·E_m | chemistry,em,mechanics | m·v⁵·B⁶·ρ_e⁻³·c_n⁻⁴·E_m⁻⁴ | m = k₀ · v⁻⁵·B⁻⁶·ρ_e³·c_n⁴·E_m⁴ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "velocity": "5", "bfield": "6", "resistivity": "-3", "concentration": "-4", "molar_energy": "-4"} |
7 | bfield,boltzmann,concentration,gas_constant,mass,resistivity,velocity | m·v·B·ρ_e·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v³·B⁻⁶·ρ_e³·c_n⁴·R⁴·k_B⁻⁴ | m = k₀ · v⁻¹·B²·ρ_e⁻¹·c_n⁻⁴ᐟ³·R⁻⁴ᐟ³·k_B⁴ᐟ³ | null | 1 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "3", "velocity": "3", "bfield": "-6", "resistivity": "3", "concentration": "4", "gas_constant": "4", "boltzmann": "-4"} |
6 | bfield,cat_activity,concentration,mass,resistivity,velocity | m·v·B·ρ_e·c_n·z | chemistry,em,mechanics | m·v³·B⁻²·ρ_e·c_n²·z⁻² | m = k₀ · v⁻³·B²·ρ_e⁻¹·c_n⁻²·z² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "velocity": "3", "bfield": "-2", "resistivity": "1", "concentration": "2", "cat_activity": "-2"} |
6 | avogadro,bfield,concentration,mass,resistivity,velocity | m·v·B·ρ_e·c_n·N_A | chemistry,constants,em,mechanics | m³·v³·B⁻⁶·ρ_e³·c_n⁴·N_A⁴ | m = k₀ · v⁻¹·B²·ρ_e⁻¹·c_n⁻⁴ᐟ³·N_A⁻⁴ᐟ³ | null | 1 | 4 | 6 | 23 | 20.2 | -11.7 | false | {"mass": "3", "velocity": "3", "bfield": "-6", "resistivity": "3", "concentration": "4", "avogadro": "4"} |
6 | bfield,cat_activity,mass,molar_energy,resistivity,velocity | m·v·B·ρ_e·E_m·z | chemistry,em,mechanics | m³·v¹¹·B²·ρ_e⁻¹·E_m⁻⁴·z⁻⁴ | ρ_e = k₀ · m³·v¹¹·B²·E_m⁻⁴·z⁻⁴ | null | 0 | 3 | 11 | 25 | 23.5 | -14.5 | false | {"mass": "3", "velocity": "11", "bfield": "2", "resistivity": "-1", "molar_energy": "-4", "cat_activity": "-4"} |
7 | bfield,boltzmann,cat_activity,gas_constant,mass,resistivity,velocity | m·v·B·ρ_e·R·z·k_B | chemistry,constants,em,mechanics | m·v⁻³·B⁻²·ρ_e·R⁴·z⁴·k_B⁻⁴ | m = k₀ · v³·B²·ρ_e⁻¹·R⁻⁴·z⁻⁴·k_B⁴ | null | 1 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "velocity": "-3", "bfield": "-2", "resistivity": "1", "gas_constant": "4", "cat_activity": "4", "boltzmann": "-4"} |
6 | avogadro,bfield,cat_activity,mass,resistivity,velocity | m·v·B·ρ_e·z·N_A | chemistry,constants,em,mechanics | m·v⁻³·B⁻²·ρ_e·z⁴·N_A⁴ | m = k₀ · v³·B²·ρ_e⁻¹·z⁻⁴·N_A⁻⁴ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "velocity": "-3", "bfield": "-2", "resistivity": "1", "cat_activity": "4", "avogadro": "4"} |
6 | bfield,illuminance,lum_intensity,mass,resistivity,velocity | m·v·B·ρ_e·I_v·E_v | em,mechanics,photometry | m·v·B⁻²·ρ_e·I_v⁻²·E_v² | m = k₀ · v⁻¹·B²·ρ_e⁻¹·I_v²·E_v⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "1", "bfield": "-2", "resistivity": "1", "lum_intensity": "-2", "illuminance": "2"} |
6 | bfield,lum_intensity,luminance,mass,resistivity,velocity | m·v·B·ρ_e·I_v·L_v | em,mechanics,photometry | m·v·B⁻²·ρ_e·I_v⁻²·L_v² | m = k₀ · v⁻¹·B²·ρ_e⁻¹·I_v²·L_v⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "1", "bfield": "-2", "resistivity": "1", "lum_intensity": "-2", "luminance": "2"} |
5 | bfield,grav_const,mass,resistivity,velocity | m·v·B·ρ_e·G | constants,em,mechanics | m³·v⁻⁹·B²·ρ_e⁻¹·G⁴ | ρ_e = k₀ · m³·v⁻⁹·B²·G⁴ | null | 1 | 3 | 9 | 19 | 18 | -9 | false | {"mass": "3", "velocity": "-9", "bfield": "2", "resistivity": "-1", "grav_const": "4"} |
5 | bfield,mass,planck,resistivity,velocity | m·v·B·ρ_e·h | constants,em,mechanics | m⁵·v⁵·B⁻²·ρ_e·h⁻⁴ | ρ_e = k₀ · m⁻⁵·v⁻⁵·B²·h⁴ | null | 1 | 3 | 5 | 17 | 14.6 | -5.6 | false | {"mass": "5", "velocity": "5", "bfield": "-2", "resistivity": "1", "planck": "-4"} |
5 | bfield,elem_charge,mass,resistivity,velocity | m·v·B·ρ_e·e | constants,em,mechanics | m³·v³·B⁻²·ρ_e⁻¹·e⁻⁴ | ρ_e = k₀ · m³·v³·B⁻²·e⁻⁴ | null | 1 | 3 | 4 | 13 | 11.3 | -2.3 | false | {"mass": "3", "velocity": "3", "bfield": "-2", "resistivity": "-1", "elem_charge": "-4"} |
6 | amount,bfield,concentration,elem_charge,mass,velocity | m·v·B·n·c_n·e | chemistry,constants,em,mechanics | m³·v³·B⁻³·n⁻¹·c_n·e⁻³ | n = k₀ · m³·v³·B⁻³·c_n·e⁻³ | null | 1 | 4 | 3 | 14 | 12.4 | -3.9 | false | {"mass": "3", "velocity": "3", "bfield": "-3", "amount": "-1", "concentration": "1", "elem_charge": "-3"} |
6 | bfield,concentration,elem_charge,mass,molar_mass,velocity | m·v·B·M_m·c_n·e | chemistry,constants,em,mechanics | m²·v³·B⁻³·M_m·c_n·e⁻³ | M_m = k₀ · m⁻²·v⁻³·B³·c_n⁻¹·e³ | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "2", "velocity": "3", "bfield": "-3", "molar_mass": "1", "concentration": "1", "elem_charge": "-3"} |
6 | bfield,concentration,elem_charge,mass,molar_energy,velocity | m·v·B·c_n·E_m·e | chemistry,constants,em,mechanics | m²·v·B⁻³·c_n·E_m·e⁻³ | v = k₀ · m⁻²·B³·c_n⁻¹·E_m⁻¹·e³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "2", "velocity": "1", "bfield": "-3", "concentration": "1", "molar_energy": "1", "elem_charge": "-3"} |
7 | bfield,boltzmann,concentration,elem_charge,gas_constant,mass,velocity | m·v·B·c_n·R·k_B·e | chemistry,constants,em,mechanics | m³·v³·B⁻³·c_n·R·k_B⁻¹·e⁻³ | c_n = k₀ · m⁻³·v⁻³·B³·R⁻¹·k_B·e³ | null | 2 | 4 | 3 | 15 | 14.4 | -7.4 | false | {"mass": "3", "velocity": "3", "bfield": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1", "elem_charge": "-3"} |
6 | bfield,cat_activity,concentration,elem_charge,mass,velocity | m·v·B·c_n·z·e | chemistry,constants,em,mechanics | m²·v³·B⁻²·c_n·z⁻¹·e⁻² | c_n = k₀ · m⁻²·v⁻³·B²·z·e² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "2", "velocity": "3", "bfield": "-2", "concentration": "1", "cat_activity": "-1", "elem_charge": "-2"} |
6 | avogadro,bfield,concentration,elem_charge,mass,velocity | m·v·B·c_n·e·N_A | chemistry,constants,em,mechanics | m³·v³·B⁻³·c_n·e⁻³·N_A | c_n = k₀ · m⁻³·v⁻³·B³·e³·N_A⁻¹ | null | 2 | 4 | 3 | 14 | 13.4 | -6.4 | false | {"mass": "3", "velocity": "3", "bfield": "-3", "concentration": "1", "elem_charge": "-3", "avogadro": "1"} |
6 | bfield,elem_charge,illuminance,lum_intensity,mass,velocity | m·v·B·I_v·E_v·e | constants,em,mechanics,photometry | m²·v²·B⁻²·I_v⁻¹·E_v·e⁻² | I_v = k₀ · m²·v²·B⁻²·E_v·e⁻² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "velocity": "2", "bfield": "-2", "lum_intensity": "-1", "illuminance": "1", "elem_charge": "-2"} |
6 | bfield,elem_charge,lum_intensity,luminance,mass,velocity | m·v·B·I_v·L_v·e | constants,em,mechanics,photometry | m²·v²·B⁻²·I_v⁻¹·L_v·e⁻² | I_v = k₀ · m²·v²·B⁻²·L_v·e⁻² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "velocity": "2", "bfield": "-2", "lum_intensity": "-1", "luminance": "1", "elem_charge": "-2"} |
5 | bfield,elem_charge,mass,planck,velocity | m·v·B·h·e | constants,em,mechanics | m²·v²·B⁻¹·h⁻¹·e⁻¹ | B = k₀ · m²·v²·h⁻¹·e⁻¹ | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "2", "velocity": "2", "bfield": "-1", "planck": "-1", "elem_charge": "-1"} |
6 | amount,cat_activity,mag_flux,mass,permittivity,velocity | m·v·Φ·ε·n·z | chemistry,em,mechanics | m·v·Φ⁻²·ε⁻¹·n·z⁻¹ | m = k₀ · v⁻¹·Φ²·ε·n⁻¹·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "1", "mag_flux": "-2", "permittivity": "-1", "amount": "1", "cat_activity": "-1"} |
6 | cat_activity,mag_flux,mass,molar_mass,permittivity,velocity | m·v·Φ·ε·M_m·z | chemistry,em,mechanics | m²·v·Φ⁻²·ε⁻¹·M_m⁻¹·z⁻¹ | v = k₀ · m⁻²·Φ²·ε·M_m·z | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "2", "velocity": "1", "mag_flux": "-2", "permittivity": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,mag_flux,mass,molar_energy,permittivity,velocity | m·v·Φ·ε·c_n·E_m | chemistry,em,mechanics | m⁴·v²·Φ⁻⁶·ε⁻³·c_n⁻¹·E_m⁻¹ | c_n = k₀ · m⁴·v²·Φ⁻⁶·ε⁻³·E_m⁻¹ | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "4", "velocity": "2", "mag_flux": "-6", "permittivity": "-3", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,concentration,mag_flux,mass,permittivity,velocity | m·v·Φ·ε·c_n·z | chemistry,em,mechanics | m²·v⁻¹·Φ⁻⁴·ε⁻²·c_n⁻¹·z | v = k₀ · m²·Φ⁻⁴·ε⁻²·c_n⁻¹·z | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "2", "velocity": "-1", "mag_flux": "-4", "permittivity": "-2", "concentration": "-1", "cat_activity": "1"} |
6 | cat_activity,mag_flux,mass,molar_energy,permittivity,velocity | m·v·Φ·ε·E_m·z | chemistry,em,mechanics | m²·v³·Φ⁻²·ε⁻¹·E_m⁻¹·z⁻¹ | ε = k₀ · m²·v³·Φ⁻²·E_m⁻¹·z⁻¹ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "2", "velocity": "3", "mag_flux": "-2", "permittivity": "-1", "molar_energy": "-1", "cat_activity": "-1"} |
7 | boltzmann,cat_activity,gas_constant,mag_flux,mass,permittivity,velocity | m·v·Φ·ε·R·z·k_B | chemistry,constants,em,mechanics | m·v·Φ⁻²·ε⁻¹·R⁻¹·z⁻¹·k_B | m = k₀ · v⁻¹·Φ²·ε·R·z·k_B⁻¹ | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "1", "mag_flux": "-2", "permittivity": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"} |
6 | avogadro,cat_activity,mag_flux,mass,permittivity,velocity | m·v·Φ·ε·z·N_A | chemistry,constants,em,mechanics | m·v·Φ⁻²·ε⁻¹·z⁻¹·N_A⁻¹ | m = k₀ · v⁻¹·Φ²·ε·z·N_A | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "mag_flux": "-2", "permittivity": "-1", "cat_activity": "-1", "avogadro": "-1"} |
5 | grav_const,mag_flux,mass,permittivity,velocity | m·v·Φ·ε·G | constants,em,mechanics | m²·v⁻²·Φ⁻²·ε⁻¹·G | ε = k₀ · m²·v⁻²·Φ⁻²·G | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "2", "velocity": "-2", "mag_flux": "-2", "permittivity": "-1", "grav_const": "1"} |
6 | amount,concentration,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·n·c_n | chemistry,em,mechanics | m³·v⁶·Φ⁻⁶·μ₀³·n·c_n⁻¹ | n = k₀ · m⁻³·v⁻⁶·Φ⁶·μ₀⁻³·c_n | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "3", "velocity": "6", "mag_flux": "-6", "permeability": "3", "amount": "1", "concentration": "-1"} |
6 | amount,cat_activity,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·n·z | chemistry,em,mechanics | m·v³·Φ⁻²·μ₀·n·z⁻¹ | m = k₀ · v⁻³·Φ²·μ₀⁻¹·n⁻¹·z | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "velocity": "3", "mag_flux": "-2", "permeability": "1", "amount": "1", "cat_activity": "-1"} |
6 | concentration,mag_flux,mass,molar_mass,permeability,velocity | m·v·Φ·μ₀·M_m·c_n | chemistry,em,mechanics | m⁴·v⁶·Φ⁻⁶·μ₀³·M_m⁻¹·c_n⁻¹ | M_m = k₀ · m⁴·v⁶·Φ⁻⁶·μ₀³·c_n⁻¹ | null | 0 | 3 | 6 | 21 | 18.2 | -9.2 | false | {"mass": "4", "velocity": "6", "mag_flux": "-6", "permeability": "3", "molar_mass": "-1", "concentration": "-1"} |
6 | cat_activity,mag_flux,mass,molar_mass,permeability,velocity | m·v·Φ·μ₀·M_m·z | chemistry,em,mechanics | m²·v³·Φ⁻²·μ₀·M_m⁻¹·z⁻¹ | μ₀ = k₀ · m⁻²·v⁻³·Φ²·M_m·z | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "2", "velocity": "3", "mag_flux": "-2", "permeability": "1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,mag_flux,mass,molar_energy,permeability,velocity | m·v·Φ·μ₀·c_n·E_m | chemistry,em,mechanics | m⁴·v⁸·Φ⁻⁶·μ₀³·c_n⁻¹·E_m⁻¹ | c_n = k₀ · m⁴·v⁸·Φ⁻⁶·μ₀³·E_m⁻¹ | null | 0 | 3 | 8 | 23 | 20.6 | -11.6 | false | {"mass": "4", "velocity": "8", "mag_flux": "-6", "permeability": "3", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,concentration,gas_constant,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v⁶·Φ⁻⁶·μ₀³·c_n⁻¹·R⁻¹·k_B | c_n = k₀ · m³·v⁶·Φ⁻⁶·μ₀³·R⁻¹·k_B | null | 1 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "mag_flux": "-6", "permeability": "3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"} |
6 | cat_activity,concentration,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·c_n·z | chemistry,em,mechanics | m²·v³·Φ⁻⁴·μ₀²·c_n⁻¹·z | c_n = k₀ · m²·v³·Φ⁻⁴·μ₀²·z | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "2", "velocity": "3", "mag_flux": "-4", "permeability": "2", "concentration": "-1", "cat_activity": "1"} |
6 | avogadro,concentration,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·c_n·N_A | chemistry,constants,em,mechanics | m³·v⁶·Φ⁻⁶·μ₀³·c_n⁻¹·N_A⁻¹ | c_n = k₀ · m³·v⁶·Φ⁻⁶·μ₀³·N_A⁻¹ | null | 1 | 4 | 6 | 20 | 18.1 | -9.6 | false | {"mass": "3", "velocity": "6", "mag_flux": "-6", "permeability": "3", "concentration": "-1", "avogadro": "-1"} |
6 | cat_activity,mag_flux,mass,molar_energy,permeability,velocity | m·v·Φ·μ₀·E_m·z | chemistry,em,mechanics | m²·v⁵·Φ⁻²·μ₀·E_m⁻¹·z⁻¹ | μ₀ = k₀ · m⁻²·v⁻⁵·Φ²·E_m·z | null | 0 | 3 | 5 | 12 | 11.4 | -2.4 | false | {"mass": "2", "velocity": "5", "mag_flux": "-2", "permeability": "1", "molar_energy": "-1", "cat_activity": "-1"} |
7 | boltzmann,cat_activity,gas_constant,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·R·z·k_B | chemistry,constants,em,mechanics | m·v³·Φ⁻²·μ₀·R⁻¹·z⁻¹·k_B | m = k₀ · v⁻³·Φ²·μ₀⁻¹·R·z·k_B⁻¹ | null | 1 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "velocity": "3", "mag_flux": "-2", "permeability": "1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"} |
6 | avogadro,cat_activity,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·z·N_A | chemistry,constants,em,mechanics | m·v³·Φ⁻²·μ₀·z⁻¹·N_A⁻¹ | m = k₀ · v⁻³·Φ²·μ₀⁻¹·z·N_A | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "velocity": "3", "mag_flux": "-2", "permeability": "1", "cat_activity": "-1", "avogadro": "-1"} |
6 | illuminance,lum_intensity,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·I_v·E_v | em,mechanics,photometry | m²·v⁴·Φ⁻⁴·μ₀²·I_v·E_v⁻¹ | I_v = k₀ · m⁻²·v⁻⁴·Φ⁴·μ₀⁻²·E_v | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "velocity": "4", "mag_flux": "-4", "permeability": "2", "lum_intensity": "1", "illuminance": "-1"} |
6 | lum_intensity,luminance,mag_flux,mass,permeability,velocity | m·v·Φ·μ₀·I_v·L_v | em,mechanics,photometry | m²·v⁴·Φ⁻⁴·μ₀²·I_v·L_v⁻¹ | I_v = k₀ · m⁻²·v⁻⁴·Φ⁴·μ₀⁻²·L_v | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "velocity": "4", "mag_flux": "-4", "permeability": "2", "lum_intensity": "1", "luminance": "-1"} |
4 | conductivity,mag_flux,mass,velocity | m·v·Φ·σ | em,mechanics | m·v·Φ⁻²·σ⁻¹ | m = k₀ · v⁻¹·Φ²·σ | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "velocity": "1", "mag_flux": "-2", "conductivity": "-1"} |
4 | mag_flux,mass,resistivity,velocity | m·v·Φ·ρ_e | em,mechanics | m·v·Φ⁻²·ρ_e | m = k₀ · v⁻¹·Φ²·ρ_e⁻¹ | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "velocity": "1", "mag_flux": "-2", "resistivity": "1"} |
6 | amount,concentration,elem_charge,mag_flux,mass,velocity | m·v·Φ·n·c_n·e | chemistry,constants,em,mechanics | m³·v³·Φ⁻³·n·c_n⁻¹·e⁻³ | n = k₀ · m⁻³·v⁻³·Φ³·c_n·e³ | null | 1 | 4 | 3 | 14 | 12.4 | -3.9 | false | {"mass": "3", "velocity": "3", "mag_flux": "-3", "amount": "1", "concentration": "-1", "elem_charge": "-3"} |
6 | amount,cat_activity,elem_charge,mag_flux,mass,velocity | m·v·Φ·n·z·e | chemistry,constants,em,mechanics | m·v²·Φ⁻¹·n·z⁻¹·e⁻¹ | m = k₀ · v⁻²·Φ·n⁻¹·z·e | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "2", "mag_flux": "-1", "amount": "1", "cat_activity": "-1", "elem_charge": "-1"} |
6 | concentration,elem_charge,mag_flux,mass,molar_mass,velocity | m·v·Φ·M_m·c_n·e | chemistry,constants,em,mechanics | m⁴·v³·Φ⁻³·M_m⁻¹·c_n⁻¹·e⁻³ | M_m = k₀ · m⁴·v³·Φ⁻³·c_n⁻¹·e⁻³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "4", "velocity": "3", "mag_flux": "-3", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-3"} |
6 | cat_activity,elem_charge,mag_flux,mass,molar_mass,velocity | m·v·Φ·M_m·z·e | chemistry,constants,em,mechanics | m²·v²·Φ⁻¹·M_m⁻¹·z⁻¹·e⁻¹ | Φ = k₀ · m²·v²·M_m⁻¹·z⁻¹·e⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "2", "velocity": "2", "mag_flux": "-1", "molar_mass": "-1", "cat_activity": "-1", "elem_charge": "-1"} |
6 | concentration,elem_charge,mag_flux,mass,molar_energy,velocity | m·v·Φ·c_n·E_m·e | chemistry,constants,em,mechanics | m⁴·v⁵·Φ⁻³·c_n⁻¹·E_m⁻¹·e⁻³ | c_n = k₀ · m⁴·v⁵·Φ⁻³·E_m⁻¹·e⁻³ | null | 1 | 4 | 5 | 17 | 15.5 | -7 | false | {"mass": "4", "velocity": "5", "mag_flux": "-3", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-3"} |
7 | boltzmann,concentration,elem_charge,gas_constant,mag_flux,mass,velocity | m·v·Φ·c_n·R·k_B·e | chemistry,constants,em,mechanics | m³·v³·Φ⁻³·c_n⁻¹·R⁻¹·k_B·e⁻³ | c_n = k₀ · m³·v³·Φ⁻³·R⁻¹·k_B·e⁻³ | null | 2 | 4 | 3 | 15 | 14.4 | -7.4 | false | {"mass": "3", "velocity": "3", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-3"} |
6 | cat_activity,concentration,elem_charge,mag_flux,mass,velocity | m·v·Φ·c_n·z·e | chemistry,constants,em,mechanics | m²·v·Φ⁻²·c_n⁻¹·z·e⁻² | v = k₀ · m⁻²·Φ²·c_n·z⁻¹·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "2", "velocity": "1", "mag_flux": "-2", "concentration": "-1", "cat_activity": "1", "elem_charge": "-2"} |
6 | avogadro,concentration,elem_charge,mag_flux,mass,velocity | m·v·Φ·c_n·e·N_A | chemistry,constants,em,mechanics | m³·v³·Φ⁻³·c_n⁻¹·e⁻³·N_A⁻¹ | c_n = k₀ · m³·v³·Φ⁻³·e⁻³·N_A⁻¹ | null | 2 | 4 | 3 | 14 | 13.4 | -6.4 | false | {"mass": "3", "velocity": "3", "mag_flux": "-3", "concentration": "-1", "elem_charge": "-3", "avogadro": "-1"} |
6 | cat_activity,elem_charge,mag_flux,mass,molar_energy,velocity | m·v·Φ·E_m·z·e | chemistry,constants,em,mechanics | m²·v⁴·Φ⁻¹·E_m⁻¹·z⁻¹·e⁻¹ | Φ = k₀ · m²·v⁴·E_m⁻¹·z⁻¹·e⁻¹ | null | 1 | 4 | 4 | 10 | 10.1 | -1.6 | false | {"mass": "2", "velocity": "4", "mag_flux": "-1", "molar_energy": "-1", "cat_activity": "-1", "elem_charge": "-1"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,mag_flux,mass,velocity | m·v·Φ·R·z·k_B·e | chemistry,constants,em,mechanics | m·v²·Φ⁻¹·R⁻¹·z⁻¹·k_B·e⁻¹ | m = k₀ · v⁻²·Φ·R·z·k_B⁻¹·e | null | 2 | 4 | 2 | 8 | 9 | -2 | false | {"mass": "1", "velocity": "2", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1", "elem_charge": "-1"} |
6 | avogadro,cat_activity,elem_charge,mag_flux,mass,velocity | m·v·Φ·z·e·N_A | chemistry,constants,em,mechanics | m·v²·Φ⁻¹·z⁻¹·e⁻¹·N_A⁻¹ | m = k₀ · v⁻²·Φ·z·e·N_A | null | 2 | 4 | 2 | 7 | 8 | -1 | false | {"mass": "1", "velocity": "2", "mag_flux": "-1", "cat_activity": "-1", "elem_charge": "-1", "avogadro": "-1"} |
6 | elem_charge,illuminance,lum_intensity,mag_flux,mass,velocity | m·v·Φ·I_v·E_v·e | constants,em,mechanics,photometry | m²·v²·Φ⁻²·I_v·E_v⁻¹·e⁻² | I_v = k₀ · m⁻²·v⁻²·Φ²·E_v·e² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "velocity": "2", "mag_flux": "-2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-2"} |
6 | elem_charge,lum_intensity,luminance,mag_flux,mass,velocity | m·v·Φ·I_v·L_v·e | constants,em,mechanics,photometry | m²·v²·Φ⁻²·I_v·L_v⁻¹·e⁻² | I_v = k₀ · m⁻²·v⁻²·Φ²·L_v·e² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "2", "velocity": "2", "mag_flux": "-2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-2"} |
5 | elem_charge,grav_const,mag_flux,mass,velocity | m·v·Φ·G·e | constants,em,mechanics | m²·v⁻¹·Φ⁻¹·G·e⁻¹ | v = k₀ · m²·Φ⁻¹·G·e⁻¹ | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "2", "velocity": "-1", "mag_flux": "-1", "grav_const": "1", "elem_charge": "-1"} |
6 | concentration,conductivity,mass,molar_mass,permittivity,velocity | m·v·ε·σ·M_m·c_n | chemistry,em,mechanics | m·v⁻³·ε⁻³·σ³·M_m⁻¹·c_n⁻¹ | m = k₀ · v³·ε³·σ⁻³·M_m·c_n | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "velocity": "-3", "permittivity": "-3", "conductivity": "3", "molar_mass": "-1", "concentration": "-1"} |
6 | concentration,conductivity,mass,molar_energy,permittivity,velocity | m·v·ε·σ·c_n·E_m | chemistry,em,mechanics | m·v⁻¹·ε⁻³·σ³·c_n⁻¹·E_m⁻¹ | m = k₀ · v·ε³·σ⁻³·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "-1", "permittivity": "-3", "conductivity": "3", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,conductivity,mass,molar_energy,permittivity,velocity | m·v·ε·σ·E_m·z | chemistry,em,mechanics | m·v²·ε⁻¹·σ·E_m⁻¹·z⁻¹ | m = k₀ · v⁻²·ε·σ⁻¹·E_m·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "permittivity": "-1", "conductivity": "1", "molar_energy": "-1", "cat_activity": "-1"} |
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