size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6 | avogadro,concentration,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·c_n·h·N_A | chemistry,constants,em | ε³·μ₀³·M_m⁻⁶·c_n²·h⁶·N_A⁸ | c_n = k₀ · ε⁻³ᐟ²·μ₀⁻³ᐟ²·M_m³·h⁻³·N_A⁻⁴ | null | 2 | 3 | 8 | 28 | 25.1 | -17.6 | false | {"permittivity": "3", "permeability": "3", "molar_mass": "-6", "concentration": "2", "planck": "6", "avogadro": "8"} |
4 | molar_energy,molar_mass,permeability,permittivity | ε·μ₀·M_m·E_m | chemistry,em | ε·μ₀·M_m⁻¹·E_m | ε = k₀ · μ₀⁻¹·M_m·E_m⁻¹ | null | 0 | 2 | 1 | 4 | 2.6 | 6.9 | true | {"permittivity": "1", "permeability": "1", "molar_mass": "-1", "molar_energy": "1"} |
7 | boltzmann,cat_activity,gas_constant,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·R·z·h·k_B | chemistry,constants,em | ε·μ₀·M_m⁻¹·R²·z·h·k_B⁻² | ε = k₀ · μ₀⁻¹·M_m·R⁻²·z⁻¹·h⁻¹·k_B² | null | 2 | 3 | 2 | 9 | 9.1 | -1.6 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-1", "gas_constant": "2", "cat_activity": "1", "planck": "1", "boltzmann": "-2"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,molar_mass,permeability,permittivity | ε·μ₀·M_m·R·z·k_B·e | chemistry,constants,em | ε·μ₀³·M_m⁻²·R⁴·z²·k_B⁻⁴·e⁴ | ε = k₀ · μ₀⁻³·M_m²·R⁻⁴·z⁻²·k_B⁴·e⁻⁴ | null | 2 | 3 | 4 | 20 | 17.8 | -10.3 | false | {"permittivity": "1", "permeability": "3", "molar_mass": "-2", "gas_constant": "4", "cat_activity": "2", "boltzmann": "-4", "elem_charge": "4"} |
8 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_mass,permeability,permittivity | ε·μ₀·M_m·R·I_v·E_v·G·k_B | chemistry,constants,em,photometry | ε²·μ₀²·M_m²·R⁻²·I_v⁻¹·E_v·G²·k_B² | I_v = k₀ · ε²·μ₀²·M_m²·R⁻²·E_v·G²·k_B² | null | 2 | 4 | 2 | 14 | 13.5 | -6.5 | false | {"permittivity": "2", "permeability": "2", "molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,illuminance,lum_intensity,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·R·I_v·E_v·h·k_B | chemistry,constants,em,photometry | ε·μ₀·M_m⁻²·R²·I_v⁻¹·E_v·h²·k_B⁻² | ε = k₀ · μ₀⁻¹·M_m²·R⁻²·I_v·E_v⁻¹·h⁻²·k_B² | null | 2 | 4 | 2 | 12 | 12.1 | -5.1 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-1", "illuminance": "1", "planck": "2", "boltzmann": "-2"} |
8 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_mass,permeability,permittivity | ε·μ₀·M_m·R·I_v·L_v·G·k_B | chemistry,constants,em,photometry | ε²·μ₀²·M_m²·R⁻²·I_v⁻¹·L_v·G²·k_B² | I_v = k₀ · ε²·μ₀²·M_m²·R⁻²·L_v·G²·k_B² | null | 2 | 4 | 2 | 14 | 13.5 | -6.5 | false | {"permittivity": "2", "permeability": "2", "molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,lum_intensity,luminance,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·R·I_v·L_v·h·k_B | chemistry,constants,em,photometry | ε·μ₀·M_m⁻²·R²·I_v⁻¹·L_v·h²·k_B⁻² | ε = k₀ · μ₀⁻¹·M_m²·R⁻²·I_v·L_v⁻¹·h⁻²·k_B² | null | 2 | 4 | 2 | 12 | 12.1 | -5.1 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-1", "luminance": "1", "planck": "2", "boltzmann": "-2"} |
7 | boltzmann,gas_constant,grav_const,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·R·G·h·k_B | chemistry,constants,em | ε·μ₀·M_m⁴·R⁻⁴·G²·h⁻²·k_B⁴ | ε = k₀ · μ₀⁻¹·M_m⁻⁴·R⁴·G⁻²·h²·k_B⁻⁴ | null | 3 | 3 | 4 | 18 | 17.4 | -11.4 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "4", "gas_constant": "-4", "grav_const": "2", "planck": "-2", "boltzmann": "4"} |
7 | cat_activity,elem_charge,illuminance,lum_intensity,molar_mass,permeability,permittivity | ε·μ₀·M_m·z·I_v·E_v·e | chemistry,constants,em,photometry | ε·μ₀⁻¹·M_m²·z²·I_v²·E_v⁻²·e⁻⁴ | ε = k₀ · μ₀·M_m⁻²·z⁻²·I_v⁻²·E_v²·e⁴ | null | 1 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"permittivity": "1", "permeability": "-1", "molar_mass": "2", "cat_activity": "2", "lum_intensity": "2", "illuminance": "-2", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,lum_intensity,luminance,molar_mass,permeability,permittivity | ε·μ₀·M_m·z·I_v·L_v·e | chemistry,constants,em,photometry | ε·μ₀⁻¹·M_m²·z²·I_v²·L_v⁻²·e⁻⁴ | ε = k₀ · μ₀·M_m⁻²·z⁻²·I_v⁻²·L_v²·e⁴ | null | 1 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"permittivity": "1", "permeability": "-1", "molar_mass": "2", "cat_activity": "2", "lum_intensity": "2", "luminance": "-2", "elem_charge": "-4"} |
5 | cat_activity,grav_const,molar_mass,permeability,permittivity | ε·μ₀·M_m·z·G | chemistry,constants,em | ε³·μ₀³·M_m²·z²·G² | M_m = k₀ · ε⁻³ᐟ²·μ₀⁻³ᐟ²·z⁻¹·G⁻¹ | null | 1 | 3 | 3 | 12 | 10.1 | -1.1 | false | {"permittivity": "3", "permeability": "3", "molar_mass": "2", "cat_activity": "2", "grav_const": "2"} |
6 | avogadro,cat_activity,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·z·h·N_A | chemistry,constants,em | ε·μ₀·M_m⁻¹·z·h·N_A² | ε = k₀ · μ₀⁻¹·M_m·z⁻¹·h⁻¹·N_A⁻² | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-1", "cat_activity": "1", "planck": "1", "avogadro": "2"} |
6 | avogadro,cat_activity,elem_charge,molar_mass,permeability,permittivity | ε·μ₀·M_m·z·e·N_A | chemistry,constants,em | ε·μ₀³·M_m⁻²·z²·e⁴·N_A⁴ | ε = k₀ · μ₀⁻³·M_m²·z⁻²·e⁻⁴·N_A⁻⁴ | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "1", "permeability": "3", "molar_mass": "-2", "cat_activity": "2", "elem_charge": "4", "avogadro": "4"} |
7 | avogadro,grav_const,illuminance,lum_intensity,molar_mass,permeability,permittivity | ε·μ₀·M_m·I_v·E_v·G·N_A | chemistry,constants,em,photometry | ε²·μ₀²·M_m²·I_v⁻¹·E_v·G²·N_A⁻² | I_v = k₀ · ε²·μ₀²·M_m²·E_v·G²·N_A⁻² | null | 2 | 4 | 2 | 12 | 11.8 | -4.8 | false | {"permittivity": "2", "permeability": "2", "molar_mass": "2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,illuminance,lum_intensity,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·I_v·E_v·h·N_A | chemistry,constants,em,photometry | ε·μ₀·M_m⁻²·I_v⁻¹·E_v·h²·N_A² | ε = k₀ · μ₀⁻¹·M_m²·I_v·E_v⁻¹·h⁻²·N_A⁻² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-2", "lum_intensity": "-1", "illuminance": "1", "planck": "2", "avogadro": "2"} |
7 | avogadro,grav_const,lum_intensity,luminance,molar_mass,permeability,permittivity | ε·μ₀·M_m·I_v·L_v·G·N_A | chemistry,constants,em,photometry | ε²·μ₀²·M_m²·I_v⁻¹·L_v·G²·N_A⁻² | I_v = k₀ · ε²·μ₀²·M_m²·L_v·G²·N_A⁻² | null | 2 | 4 | 2 | 12 | 11.8 | -4.8 | false | {"permittivity": "2", "permeability": "2", "molar_mass": "2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,lum_intensity,luminance,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·I_v·L_v·h·N_A | chemistry,constants,em,photometry | ε·μ₀·M_m⁻²·I_v⁻¹·L_v·h²·N_A² | ε = k₀ · μ₀⁻¹·M_m²·I_v·L_v⁻¹·h⁻²·N_A⁻² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-2", "lum_intensity": "-1", "luminance": "1", "planck": "2", "avogadro": "2"} |
6 | avogadro,grav_const,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·G·h·N_A | chemistry,constants,em | ε·μ₀·M_m⁴·G²·h⁻²·N_A⁻⁴ | ε = k₀ · μ₀⁻¹·M_m⁻⁴·G⁻²·h²·N_A⁴ | null | 3 | 3 | 4 | 14 | 14.3 | -8.3 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "4", "grav_const": "2", "planck": "-2", "avogadro": "-4"} |
7 | boltzmann,concentration,gas_constant,grav_const,molar_energy,permeability,permittivity | ε·μ₀·c_n·E_m·R·G·k_B | chemistry,constants,em | ε⁶·μ₀⁶·c_n·E_m³·R⁻²·G³·k_B² | c_n = k₀ · ε⁻⁶·μ₀⁻⁶·E_m⁻³·R²·G⁻³·k_B⁻² | null | 2 | 3 | 6 | 23 | 20.9 | -13.4 | false | {"permittivity": "6", "permeability": "6", "concentration": "1", "molar_energy": "3", "gas_constant": "-2", "grav_const": "3", "boltzmann": "2"} |
7 | boltzmann,concentration,gas_constant,molar_energy,permeability,permittivity,planck | ε·μ₀·c_n·E_m·R·h·k_B | chemistry,constants,em | ε³·μ₀³·c_n⁻²·E_m⁶·R⁻⁸·h⁻⁶·k_B⁸ | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·E_m³·R⁻⁴·h⁻³·k_B⁴ | null | 2 | 3 | 8 | 36 | 31 | -23.5 | false | {"permittivity": "3", "permeability": "3", "concentration": "-2", "molar_energy": "6", "gas_constant": "-8", "planck": "-6", "boltzmann": "8"} |
6 | cat_activity,concentration,molar_energy,permeability,permittivity,planck | ε·μ₀·c_n·E_m·z·h | chemistry,constants,em | ε³·μ₀³·c_n⁻²·E_m²·z⁴·h⁻² | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·E_m·z²·h⁻¹ | null | 1 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"permittivity": "3", "permeability": "3", "concentration": "-2", "molar_energy": "2", "cat_activity": "4", "planck": "-2"} |
6 | cat_activity,concentration,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·c_n·E_m·z·e | chemistry,constants,em | ε²·μ₀·c_n⁻¹·E_m·z²·e⁻² | μ₀ = k₀ · ε⁻²·c_n·E_m⁻¹·z⁻²·e² | null | 1 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"permittivity": "2", "permeability": "1", "concentration": "-1", "molar_energy": "1", "cat_activity": "2", "elem_charge": "-2"} |
7 | concentration,grav_const,illuminance,lum_intensity,molar_energy,permeability,permittivity | ε·μ₀·c_n·E_m·I_v·E_v·G | chemistry,constants,em,photometry | ε²·μ₀²·c_n·E_m·I_v·E_v⁻¹·G | c_n = k₀ · ε⁻²·μ₀⁻²·E_m⁻¹·I_v⁻¹·E_v·G⁻¹ | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"permittivity": "2", "permeability": "2", "concentration": "1", "molar_energy": "1", "lum_intensity": "1", "illuminance": "-1", "grav_const": "1"} |
7 | concentration,illuminance,lum_intensity,molar_energy,permeability,permittivity,planck | ε·μ₀·c_n·E_m·I_v·E_v·h | chemistry,constants,em,photometry | ε·μ₀·c_n²·E_m²·I_v⁴·E_v⁻⁴·h⁻² | ε = k₀ · μ₀⁻¹·c_n⁻²·E_m⁻²·I_v⁻⁴·E_v⁴·h² | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "1", "permeability": "1", "concentration": "2", "molar_energy": "2", "lum_intensity": "4", "illuminance": "-4", "planck": "-2"} |
7 | concentration,grav_const,lum_intensity,luminance,molar_energy,permeability,permittivity | ε·μ₀·c_n·E_m·I_v·L_v·G | chemistry,constants,em,photometry | ε²·μ₀²·c_n·E_m·I_v·L_v⁻¹·G | c_n = k₀ · ε⁻²·μ₀⁻²·E_m⁻¹·I_v⁻¹·L_v·G⁻¹ | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"permittivity": "2", "permeability": "2", "concentration": "1", "molar_energy": "1", "lum_intensity": "1", "luminance": "-1", "grav_const": "1"} |
7 | concentration,lum_intensity,luminance,molar_energy,permeability,permittivity,planck | ε·μ₀·c_n·E_m·I_v·L_v·h | chemistry,constants,em,photometry | ε·μ₀·c_n²·E_m²·I_v⁴·L_v⁻⁴·h⁻² | ε = k₀ · μ₀⁻¹·c_n⁻²·E_m⁻²·I_v⁻⁴·L_v⁴·h² | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "1", "permeability": "1", "concentration": "2", "molar_energy": "2", "lum_intensity": "4", "luminance": "-4", "planck": "-2"} |
6 | concentration,grav_const,molar_energy,permeability,permittivity,planck | ε·μ₀·c_n·E_m·G·h | chemistry,constants,em | ε⁷·μ₀⁷·c_n²·E_m²·G⁴·h² | c_n = k₀ · ε⁻⁷ᐟ²·μ₀⁻⁷ᐟ²·E_m⁻¹·G⁻²·h⁻¹ | null | 2 | 3 | 7 | 24 | 21.8 | -14.3 | false | {"permittivity": "7", "permeability": "7", "concentration": "2", "molar_energy": "2", "grav_const": "4", "planck": "2"} |
6 | concentration,elem_charge,grav_const,molar_energy,permeability,permittivity | ε·μ₀·c_n·E_m·G·e | chemistry,constants,em | ε³·μ₀⁴·c_n·E_m·G²·e² | c_n = k₀ · ε⁻³·μ₀⁻⁴·E_m⁻¹·G⁻²·e⁻² | null | 2 | 3 | 4 | 13 | 12.6 | -5.1 | false | {"permittivity": "3", "permeability": "4", "concentration": "1", "molar_energy": "1", "grav_const": "2", "elem_charge": "2"} |
6 | avogadro,concentration,grav_const,molar_energy,permeability,permittivity | ε·μ₀·c_n·E_m·G·N_A | chemistry,constants,em | ε⁶·μ₀⁶·c_n·E_m³·G³·N_A⁻² | c_n = k₀ · ε⁻⁶·μ₀⁻⁶·E_m⁻³·G⁻³·N_A² | null | 2 | 3 | 6 | 21 | 19.2 | -11.7 | false | {"permittivity": "6", "permeability": "6", "concentration": "1", "molar_energy": "3", "grav_const": "3", "avogadro": "-2"} |
6 | avogadro,concentration,molar_energy,permeability,permittivity,planck | ε·μ₀·c_n·E_m·h·N_A | chemistry,constants,em | ε³·μ₀³·c_n⁻²·E_m⁶·h⁻⁶·N_A⁻⁸ | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·E_m³·h⁻³·N_A⁻⁴ | null | 2 | 3 | 8 | 28 | 25.1 | -17.6 | false | {"permittivity": "3", "permeability": "3", "concentration": "-2", "molar_energy": "6", "planck": "-6", "avogadro": "-8"} |
6 | boltzmann,cat_activity,concentration,gas_constant,permeability,permittivity | ε·μ₀·c_n·R·z·k_B | chemistry,constants,em | ε³·μ₀³·c_n⁻²·R⁴·z⁶·k_B⁻⁴ | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·R²·z³·k_B⁻² | null | 1 | 3 | 6 | 22 | 18.9 | -9.9 | false | {"permittivity": "3", "permeability": "3", "concentration": "-2", "gas_constant": "4", "cat_activity": "6", "boltzmann": "-4"} |
7 | boltzmann,concentration,gas_constant,grav_const,permeability,permittivity,planck | ε·μ₀·c_n·R·G·h·k_B | chemistry,constants,em | ε⁹·μ₀⁹·c_n⁴·R⁴·G⁶·h⁶·k_B⁻⁴ | c_n = k₀ · ε⁻⁹ᐟ⁴·μ₀⁻⁹ᐟ⁴·R⁻¹·G⁻³ᐟ²·h⁻³ᐟ²·k_B | null | 3 | 3 | 9 | 42 | 36.7 | -30.7 | false | {"permittivity": "9", "permeability": "9", "concentration": "4", "gas_constant": "4", "grav_const": "6", "planck": "6", "boltzmann": "-4"} |
7 | boltzmann,concentration,elem_charge,gas_constant,grav_const,permeability,permittivity | ε·μ₀·c_n·R·G·k_B·e | chemistry,constants,em | ε³·μ₀⁶·c_n²·R²·G³·k_B⁻²·e⁶ | c_n = k₀ · ε⁻³ᐟ²·μ₀⁻³·R⁻¹·G⁻³ᐟ²·k_B·e⁻³ | null | 3 | 3 | 6 | 24 | 22.6 | -16.6 | false | {"permittivity": "3", "permeability": "6", "concentration": "2", "gas_constant": "2", "grav_const": "3", "boltzmann": "-2", "elem_charge": "6"} |
6 | cat_activity,concentration,illuminance,lum_intensity,permeability,permittivity | ε·μ₀·c_n·z·I_v·E_v | chemistry,em,photometry | ε·μ₀·c_n⁻²·z²·I_v⁻²·E_v² | ε = k₀ · μ₀⁻¹·c_n²·z⁻²·I_v²·E_v⁻² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"permittivity": "1", "permeability": "1", "concentration": "-2", "cat_activity": "2", "lum_intensity": "-2", "illuminance": "2"} |
6 | cat_activity,concentration,lum_intensity,luminance,permeability,permittivity | ε·μ₀·c_n·z·I_v·L_v | chemistry,em,photometry | ε·μ₀·c_n⁻²·z²·I_v⁻²·L_v² | ε = k₀ · μ₀⁻¹·c_n²·z⁻²·I_v²·L_v⁻² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"permittivity": "1", "permeability": "1", "concentration": "-2", "cat_activity": "2", "lum_intensity": "-2", "luminance": "2"} |
6 | cat_activity,concentration,grav_const,permeability,permittivity,planck | ε·μ₀·c_n·z·G·h | chemistry,constants,em | ε·μ₀·c_n·z⁻¹·G·h | ε = k₀ · μ₀⁻¹·c_n⁻¹·z·G⁻¹·h⁻¹ | null | 2 | 3 | 1 | 6 | 6.2 | 1.3 | false | {"permittivity": "1", "permeability": "1", "concentration": "1", "cat_activity": "-1", "grav_const": "1", "planck": "1"} |
6 | cat_activity,concentration,elem_charge,grav_const,permeability,permittivity | ε·μ₀·c_n·z·G·e | chemistry,constants,em | ε·μ₀³·c_n²·z⁻²·G²·e⁴ | ε = k₀ · μ₀⁻³·c_n⁻²·z²·G⁻²·e⁻⁴ | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "1", "permeability": "3", "concentration": "2", "cat_activity": "-2", "grav_const": "2", "elem_charge": "4"} |
5 | avogadro,cat_activity,concentration,permeability,permittivity | ε·μ₀·c_n·z·N_A | chemistry,constants,em | ε³·μ₀³·c_n⁻²·z⁶·N_A⁴ | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·z³·N_A² | null | 1 | 3 | 6 | 18 | 15.8 | -6.8 | false | {"permittivity": "3", "permeability": "3", "concentration": "-2", "cat_activity": "6", "avogadro": "4"} |
6 | avogadro,concentration,grav_const,permeability,permittivity,planck | ε·μ₀·c_n·G·h·N_A | chemistry,constants,em | ε⁹·μ₀⁹·c_n⁴·G⁶·h⁶·N_A⁴ | c_n = k₀ · ε⁻⁹ᐟ⁴·μ₀⁻⁹ᐟ⁴·G⁻³ᐟ²·h⁻³ᐟ²·N_A⁻¹ | null | 3 | 3 | 9 | 38 | 33.6 | -27.6 | false | {"permittivity": "9", "permeability": "9", "concentration": "4", "grav_const": "6", "planck": "6", "avogadro": "4"} |
6 | avogadro,concentration,elem_charge,grav_const,permeability,permittivity | ε·μ₀·c_n·G·e·N_A | chemistry,constants,em | ε³·μ₀⁶·c_n²·G³·e⁶·N_A² | c_n = k₀ · ε⁻³ᐟ²·μ₀⁻³·G⁻³ᐟ²·e⁻³·N_A⁻¹ | null | 3 | 3 | 6 | 22 | 20.9 | -14.9 | false | {"permittivity": "3", "permeability": "6", "concentration": "2", "grav_const": "3", "elem_charge": "6", "avogadro": "2"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,molar_energy,permeability,permittivity | ε·μ₀·E_m·R·z·k_B·e | chemistry,constants,em | ε·μ₀⁻¹·E_m²·R⁻⁴·z⁻²·k_B⁴·e⁻⁴ | ε = k₀ · μ₀·E_m⁻²·R⁴·z²·k_B⁻⁴·e⁴ | null | 2 | 3 | 4 | 18 | 16.4 | -8.9 | false | {"permittivity": "1", "permeability": "-1", "molar_energy": "2", "gas_constant": "-4", "cat_activity": "-2", "boltzmann": "4", "elem_charge": "-4"} |
8 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_energy,permeability,permittivity | ε·μ₀·E_m·R·I_v·E_v·G·k_B | chemistry,constants,em,photometry | ε⁴·μ₀⁴·E_m²·R⁻²·I_v⁻¹·E_v·G²·k_B² | I_v = k₀ · ε⁴·μ₀⁴·E_m²·R⁻²·E_v·G²·k_B² | null | 2 | 4 | 4 | 18 | 17.3 | -10.3 | false | {"permittivity": "4", "permeability": "4", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,illuminance,lum_intensity,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·R·I_v·E_v·h·k_B | chemistry,constants,em,photometry | ε·μ₀·E_m²·R⁻²·I_v·E_v⁻¹·h⁻²·k_B² | ε = k₀ · μ₀⁻¹·E_m⁻²·R²·I_v⁻¹·E_v·h²·k_B⁻² | null | 2 | 4 | 2 | 12 | 12.1 | -5.1 | false | {"permittivity": "1", "permeability": "1", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "1", "illuminance": "-1", "planck": "-2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_energy,permeability,permittivity | ε·μ₀·E_m·R·I_v·L_v·G·k_B | chemistry,constants,em,photometry | ε⁴·μ₀⁴·E_m²·R⁻²·I_v⁻¹·L_v·G²·k_B² | I_v = k₀ · ε⁴·μ₀⁴·E_m²·R⁻²·L_v·G²·k_B² | null | 2 | 4 | 4 | 18 | 17.3 | -10.3 | false | {"permittivity": "4", "permeability": "4", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,lum_intensity,luminance,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·R·I_v·L_v·h·k_B | chemistry,constants,em,photometry | ε·μ₀·E_m²·R⁻²·I_v·L_v⁻¹·h⁻²·k_B² | ε = k₀ · μ₀⁻¹·E_m⁻²·R²·I_v⁻¹·L_v·h²·k_B⁻² | null | 2 | 4 | 2 | 12 | 12.1 | -5.1 | false | {"permittivity": "1", "permeability": "1", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "1", "luminance": "-1", "planck": "-2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·R·G·h·k_B | chemistry,constants,em | ε⁵·μ₀⁵·E_m⁴·R⁻⁴·G²·h⁻²·k_B⁴ | G = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·E_m⁻²·R²·h·k_B⁻² | null | 3 | 3 | 5 | 26 | 23.5 | -17.5 | false | {"permittivity": "5", "permeability": "5", "molar_energy": "4", "gas_constant": "-4", "grav_const": "2", "planck": "-2", "boltzmann": "4"} |
7 | boltzmann,elem_charge,gas_constant,grav_const,molar_energy,permeability,permittivity | ε·μ₀·E_m·R·G·k_B·e | chemistry,constants,em | ε³·μ₀²·E_m²·R⁻²·G·k_B²·e⁻² | G = k₀ · ε⁻³·μ₀⁻²·E_m⁻²·R²·k_B⁻²·e² | null | 3 | 3 | 3 | 14 | 14.1 | -8.1 | false | {"permittivity": "3", "permeability": "2", "molar_energy": "2", "gas_constant": "-2", "grav_const": "1", "boltzmann": "2", "elem_charge": "-2"} |
7 | cat_activity,illuminance,lum_intensity,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·z·I_v·E_v·h | chemistry,constants,em,photometry | ε·μ₀·E_m·z·I_v·E_v⁻¹·h⁻¹ | ε = k₀ · μ₀⁻¹·E_m⁻¹·z⁻¹·I_v⁻¹·E_v·h | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "permeability": "1", "molar_energy": "1", "cat_activity": "1", "lum_intensity": "1", "illuminance": "-1", "planck": "-1"} |
7 | cat_activity,elem_charge,illuminance,lum_intensity,molar_energy,permeability,permittivity | ε·μ₀·E_m·z·I_v·E_v·e | chemistry,constants,em,photometry | ε³·μ₀·E_m²·z²·I_v²·E_v⁻²·e⁻⁴ | μ₀ = k₀ · ε⁻³·E_m⁻²·z⁻²·I_v⁻²·E_v²·e⁴ | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "3", "permeability": "1", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "2", "illuminance": "-2", "elem_charge": "-4"} |
7 | cat_activity,lum_intensity,luminance,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·z·I_v·L_v·h | chemistry,constants,em,photometry | ε·μ₀·E_m·z·I_v·L_v⁻¹·h⁻¹ | ε = k₀ · μ₀⁻¹·E_m⁻¹·z⁻¹·I_v⁻¹·L_v·h | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "permeability": "1", "molar_energy": "1", "cat_activity": "1", "lum_intensity": "1", "luminance": "-1", "planck": "-1"} |
7 | cat_activity,elem_charge,lum_intensity,luminance,molar_energy,permeability,permittivity | ε·μ₀·E_m·z·I_v·L_v·e | chemistry,constants,em,photometry | ε³·μ₀·E_m²·z²·I_v²·L_v⁻²·e⁻⁴ | μ₀ = k₀ · ε⁻³·E_m⁻²·z⁻²·I_v⁻²·L_v²·e⁴ | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "3", "permeability": "1", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "2", "luminance": "-2", "elem_charge": "-4"} |
5 | cat_activity,grav_const,molar_energy,permeability,permittivity | ε·μ₀·E_m·z·G | chemistry,constants,em | ε⁵·μ₀⁵·E_m²·z²·G² | E_m = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·z⁻¹·G⁻¹ | null | 1 | 3 | 5 | 16 | 13.9 | -4.9 | false | {"permittivity": "5", "permeability": "5", "molar_energy": "2", "cat_activity": "2", "grav_const": "2"} |
6 | avogadro,cat_activity,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·E_m·z·e·N_A | chemistry,constants,em | ε·μ₀⁻¹·E_m²·z⁻²·e⁻⁴·N_A⁻⁴ | ε = k₀ · μ₀·E_m⁻²·z²·e⁴·N_A⁴ | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "1", "permeability": "-1", "molar_energy": "2", "cat_activity": "-2", "elem_charge": "-4", "avogadro": "-4"} |
7 | avogadro,grav_const,illuminance,lum_intensity,molar_energy,permeability,permittivity | ε·μ₀·E_m·I_v·E_v·G·N_A | chemistry,constants,em,photometry | ε⁴·μ₀⁴·E_m²·I_v⁻¹·E_v·G²·N_A⁻² | I_v = k₀ · ε⁴·μ₀⁴·E_m²·E_v·G²·N_A⁻² | null | 2 | 4 | 4 | 16 | 15.6 | -8.6 | false | {"permittivity": "4", "permeability": "4", "molar_energy": "2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,illuminance,lum_intensity,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·I_v·E_v·h·N_A | chemistry,constants,em,photometry | ε·μ₀·E_m²·I_v·E_v⁻¹·h⁻²·N_A⁻² | ε = k₀ · μ₀⁻¹·E_m⁻²·I_v⁻¹·E_v·h²·N_A² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"permittivity": "1", "permeability": "1", "molar_energy": "2", "lum_intensity": "1", "illuminance": "-1", "planck": "-2", "avogadro": "-2"} |
7 | avogadro,grav_const,lum_intensity,luminance,molar_energy,permeability,permittivity | ε·μ₀·E_m·I_v·L_v·G·N_A | chemistry,constants,em,photometry | ε⁴·μ₀⁴·E_m²·I_v⁻¹·L_v·G²·N_A⁻² | I_v = k₀ · ε⁴·μ₀⁴·E_m²·L_v·G²·N_A⁻² | null | 2 | 4 | 4 | 16 | 15.6 | -8.6 | false | {"permittivity": "4", "permeability": "4", "molar_energy": "2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,lum_intensity,luminance,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·I_v·L_v·h·N_A | chemistry,constants,em,photometry | ε·μ₀·E_m²·I_v·L_v⁻¹·h⁻²·N_A⁻² | ε = k₀ · μ₀⁻¹·E_m⁻²·I_v⁻¹·L_v·h²·N_A² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"permittivity": "1", "permeability": "1", "molar_energy": "2", "lum_intensity": "1", "luminance": "-1", "planck": "-2", "avogadro": "-2"} |
6 | avogadro,grav_const,molar_energy,permeability,permittivity,planck | ε·μ₀·E_m·G·h·N_A | chemistry,constants,em | ε⁵·μ₀⁵·E_m⁴·G²·h⁻²·N_A⁻⁴ | G = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·E_m⁻²·h·N_A² | null | 3 | 3 | 5 | 22 | 20.4 | -14.4 | false | {"permittivity": "5", "permeability": "5", "molar_energy": "4", "grav_const": "2", "planck": "-2", "avogadro": "-4"} |
6 | avogadro,elem_charge,grav_const,molar_energy,permeability,permittivity | ε·μ₀·E_m·G·e·N_A | chemistry,constants,em | ε³·μ₀²·E_m²·G·e⁻²·N_A⁻² | G = k₀ · ε⁻³·μ₀⁻²·E_m⁻²·e²·N_A² | null | 3 | 3 | 3 | 12 | 12.4 | -6.4 | false | {"permittivity": "3", "permeability": "2", "molar_energy": "2", "grav_const": "1", "elem_charge": "-2", "avogadro": "-2"} |
7 | boltzmann,cat_activity,gas_constant,illuminance,lum_intensity,permeability,permittivity | ε·μ₀·R·z·I_v·E_v·k_B | chemistry,constants,em,photometry | ε·μ₀·R²·z²·I_v·E_v⁻¹·k_B⁻² | ε = k₀ · μ₀⁻¹·R⁻²·z⁻²·I_v⁻¹·E_v·k_B² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"permittivity": "1", "permeability": "1", "gas_constant": "2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "boltzmann": "-2"} |
7 | boltzmann,cat_activity,gas_constant,lum_intensity,luminance,permeability,permittivity | ε·μ₀·R·z·I_v·L_v·k_B | chemistry,constants,em,photometry | ε·μ₀·R²·z²·I_v·L_v⁻¹·k_B⁻² | ε = k₀ · μ₀⁻¹·R⁻²·z⁻²·I_v⁻¹·L_v·k_B² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"permittivity": "1", "permeability": "1", "gas_constant": "2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "boltzmann": "-2"} |
7 | boltzmann,cat_activity,gas_constant,grav_const,permeability,permittivity,planck | ε·μ₀·R·z·G·h·k_B | chemistry,constants,em | ε⁵·μ₀⁵·R⁴·z⁴·G²·h²·k_B⁻⁴ | G = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·R⁻²·z⁻²·h⁻¹·k_B² | null | 3 | 3 | 5 | 26 | 23.5 | -17.5 | false | {"permittivity": "5", "permeability": "5", "gas_constant": "4", "cat_activity": "4", "grav_const": "2", "planck": "2", "boltzmann": "-4"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,grav_const,permeability,permittivity | ε·μ₀·R·z·G·k_B·e | chemistry,constants,em | ε²·μ₀³·R²·z²·G·k_B⁻²·e² | G = k₀ · ε⁻²·μ₀⁻³·R⁻²·z⁻²·k_B²·e⁻² | null | 3 | 3 | 3 | 14 | 14.1 | -8.1 | false | {"permittivity": "2", "permeability": "3", "gas_constant": "2", "cat_activity": "2", "grav_const": "1", "boltzmann": "-2", "elem_charge": "2"} |
6 | avogadro,cat_activity,illuminance,lum_intensity,permeability,permittivity | ε·μ₀·z·I_v·E_v·N_A | chemistry,constants,em,photometry | ε·μ₀·z²·I_v·E_v⁻¹·N_A² | ε = k₀ · μ₀⁻¹·z⁻²·I_v⁻¹·E_v·N_A⁻² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"permittivity": "1", "permeability": "1", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "avogadro": "2"} |
6 | avogadro,cat_activity,lum_intensity,luminance,permeability,permittivity | ε·μ₀·z·I_v·L_v·N_A | chemistry,constants,em,photometry | ε·μ₀·z²·I_v·L_v⁻¹·N_A² | ε = k₀ · μ₀⁻¹·z⁻²·I_v⁻¹·L_v·N_A⁻² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"permittivity": "1", "permeability": "1", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "avogadro": "2"} |
6 | avogadro,cat_activity,grav_const,permeability,permittivity,planck | ε·μ₀·z·G·h·N_A | chemistry,constants,em | ε⁵·μ₀⁵·z⁴·G²·h²·N_A⁴ | G = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·z⁻²·h⁻¹·N_A⁻² | null | 3 | 3 | 5 | 22 | 20.4 | -14.4 | false | {"permittivity": "5", "permeability": "5", "cat_activity": "4", "grav_const": "2", "planck": "2", "avogadro": "4"} |
6 | avogadro,cat_activity,elem_charge,grav_const,permeability,permittivity | ε·μ₀·z·G·e·N_A | chemistry,constants,em | ε²·μ₀³·z²·G·e²·N_A² | G = k₀ · ε⁻²·μ₀⁻³·z⁻²·e⁻²·N_A⁻² | null | 3 | 3 | 3 | 12 | 12.4 | -6.4 | false | {"permittivity": "2", "permeability": "3", "cat_activity": "2", "grav_const": "1", "elem_charge": "2", "avogadro": "2"} |
6 | grav_const,illuminance,lum_intensity,permeability,permittivity,planck | ε·μ₀·I_v·E_v·G·h | constants,em,photometry | ε³·μ₀³·I_v⁻²·E_v²·G²·h² | I_v = k₀ · ε³ᐟ²·μ₀³ᐟ²·E_v·G·h | null | 2 | 3 | 3 | 14 | 12.8 | -5.3 | false | {"permittivity": "3", "permeability": "3", "lum_intensity": "-2", "illuminance": "2", "grav_const": "2", "planck": "2"} |
6 | elem_charge,grav_const,illuminance,lum_intensity,permeability,permittivity | ε·μ₀·I_v·E_v·G·e | constants,em,photometry | ε·μ₀²·I_v⁻¹·E_v·G·e² | ε = k₀ · μ₀⁻²·I_v·E_v⁻¹·G⁻¹·e⁻² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"permittivity": "1", "permeability": "2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "1", "elem_charge": "2"} |
6 | grav_const,lum_intensity,luminance,permeability,permittivity,planck | ε·μ₀·I_v·L_v·G·h | constants,em,photometry | ε³·μ₀³·I_v⁻²·L_v²·G²·h² | I_v = k₀ · ε³ᐟ²·μ₀³ᐟ²·L_v·G·h | null | 2 | 3 | 3 | 14 | 12.8 | -5.3 | false | {"permittivity": "3", "permeability": "3", "lum_intensity": "-2", "luminance": "2", "grav_const": "2", "planck": "2"} |
6 | elem_charge,grav_const,lum_intensity,luminance,permeability,permittivity | ε·μ₀·I_v·L_v·G·e | constants,em,photometry | ε·μ₀²·I_v⁻¹·L_v·G·e² | ε = k₀ · μ₀⁻²·I_v·L_v⁻¹·G⁻¹·e⁻² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"permittivity": "1", "permeability": "2", "lum_intensity": "-1", "luminance": "1", "grav_const": "1", "elem_charge": "2"} |
3 | light_speed,permeability,permittivity | ε·μ₀·c₀ | constants,em | ε·μ₀·c₀² | ε = k₀ · μ₀⁻¹·c₀⁻² | null | 1 | 2 | 2 | 4 | 2.8 | 6.7 | true | {"permittivity": "1", "permeability": "1", "light_speed": "2"} |
4 | elem_charge,permeability,permittivity,planck | ε·μ₀·h·e | constants,em | ε·μ₀⁻¹·h²·e⁻⁴ | ε = k₀ · μ₀·h⁻²·e⁴ | null | 2 | 2 | 4 | 8 | 7.9 | 0.1 | false | {"permittivity": "1", "permeability": "-1", "planck": "2", "elem_charge": "-4"} |
6 | amount,concentration,conductivity,molar_energy,molar_mass,permittivity | ε·σ·n·M_m·c_n·E_m | chemistry,em | ε⁶·σ⁻⁶·n⁻²·M_m⁻³·c_n²·E_m³ | n = k₀ · ε³·σ⁻³·M_m⁻³ᐟ²·c_n·E_m³ᐟ² | null | 0 | 2 | 6 | 22 | 18.3 | -8.8 | false | {"permittivity": "6", "conductivity": "-6", "amount": "-2", "molar_mass": "-3", "concentration": "2", "molar_energy": "3"} |
6 | amount,concentration,conductivity,molar_mass,permittivity,planck | ε·σ·n·M_m·c_n·h | chemistry,constants,em | ε³·σ⁻³·n⁻⁵·M_m⁻³·c_n²·h³ | c_n = k₀ · ε⁻³ᐟ²·σ³ᐟ²·n⁵ᐟ²·M_m³ᐟ²·h⁻³ᐟ² | null | 1 | 3 | 5 | 19 | 16.3 | -7.3 | false | {"permittivity": "3", "conductivity": "-3", "amount": "-5", "molar_mass": "-3", "concentration": "2", "planck": "3"} |
6 | amount,concentration,conductivity,elem_charge,molar_mass,permittivity | ε·σ·n·M_m·c_n·e | chemistry,constants,em | ε·σ⁻²·n⁻²·M_m⁻¹·c_n·e² | ε = k₀ · σ²·n²·M_m·c_n⁻¹·e⁻² | null | 1 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"permittivity": "1", "conductivity": "-2", "amount": "-2", "molar_mass": "-1", "concentration": "1", "elem_charge": "2"} |
6 | amount,conductivity,grav_const,molar_energy,molar_mass,permittivity | ε·σ·n·M_m·E_m·G | chemistry,constants,em | ε²·σ⁻²·n⁻²·M_m⁻⁵·E_m³·G⁻² | ε = k₀ · σ·n·M_m⁵ᐟ²·E_m⁻³ᐟ²·G | null | 1 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"permittivity": "2", "conductivity": "-2", "amount": "-2", "molar_mass": "-5", "molar_energy": "3", "grav_const": "-2"} |
6 | amount,conductivity,elem_charge,molar_energy,molar_mass,permittivity | ε·σ·n·M_m·E_m·e | chemistry,constants,em | ε⁴·σ⁻²·n²·M_m⁻¹·E_m³·e⁻⁴ | M_m = k₀ · ε⁴·σ⁻²·n²·E_m³·e⁻⁴ | null | 1 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"permittivity": "4", "conductivity": "-2", "amount": "2", "molar_mass": "-1", "molar_energy": "3", "elem_charge": "-4"} |
7 | amount,conductivity,grav_const,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·n·M_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·n²·M_m²·I_v⁻³·E_v³·G² | n = k₀ · ε⁻²·σ²·M_m⁻¹·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "4", "conductivity": "-4", "amount": "2", "molar_mass": "2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2"} |
7 | amount,conductivity,illuminance,lum_intensity,molar_mass,permittivity,planck | ε·σ·n·M_m·I_v·E_v·h | chemistry,constants,em,photometry | ε·σ⁻¹·n⁻¹·M_m⁻¹·I_v⁻¹·E_v·h | ε = k₀ · σ·n·M_m·I_v·E_v⁻¹·h⁻¹ | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "conductivity": "-1", "amount": "-1", "molar_mass": "-1", "lum_intensity": "-1", "illuminance": "1", "planck": "1"} |
7 | amount,conductivity,elem_charge,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·n·M_m·I_v·E_v·e | chemistry,constants,em,photometry | ε²·σ⁻⁴·n⁻²·M_m⁻²·I_v⁻³·E_v³·e⁴ | ε = k₀ · σ²·n·M_m·I_v³ᐟ²·E_v⁻³ᐟ²·e⁻² | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "2", "conductivity": "-4", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-3", "illuminance": "3", "elem_charge": "4"} |
7 | amount,conductivity,grav_const,lum_intensity,luminance,molar_mass,permittivity | ε·σ·n·M_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·n²·M_m²·I_v⁻³·L_v³·G² | n = k₀ · ε⁻²·σ²·M_m⁻¹·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "4", "conductivity": "-4", "amount": "2", "molar_mass": "2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2"} |
7 | amount,conductivity,lum_intensity,luminance,molar_mass,permittivity,planck | ε·σ·n·M_m·I_v·L_v·h | chemistry,constants,em,photometry | ε·σ⁻¹·n⁻¹·M_m⁻¹·I_v⁻¹·L_v·h | ε = k₀ · σ·n·M_m·I_v·L_v⁻¹·h⁻¹ | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "conductivity": "-1", "amount": "-1", "molar_mass": "-1", "lum_intensity": "-1", "luminance": "1", "planck": "1"} |
7 | amount,conductivity,elem_charge,lum_intensity,luminance,molar_mass,permittivity | ε·σ·n·M_m·I_v·L_v·e | chemistry,constants,em,photometry | ε²·σ⁻⁴·n⁻²·M_m⁻²·I_v⁻³·L_v³·e⁴ | ε = k₀ · σ²·n·M_m·I_v³ᐟ²·L_v⁻³ᐟ²·e⁻² | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "2", "conductivity": "-4", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-3", "luminance": "3", "elem_charge": "4"} |
6 | amount,conductivity,grav_const,light_speed,molar_mass,permittivity | ε·σ·n·M_m·c₀·G | chemistry,constants,em | ε·σ⁻¹·n⁻¹·M_m⁻¹·c₀³·G⁻¹ | ε = k₀ · σ·n·M_m·c₀⁻³·G | null | 2 | 3 | 3 | 8 | 8.6 | -1.1 | false | {"permittivity": "1", "conductivity": "-1", "amount": "-1", "molar_mass": "-1", "light_speed": "3", "grav_const": "-1"} |
6 | amount,conductivity,light_speed,molar_mass,permittivity,planck | ε·σ·n·M_m·c₀·h | chemistry,constants,em | ε·σ⁻¹·n·M_m·c₀²·h⁻¹ | ε = k₀ · σ·n⁻¹·M_m⁻¹·c₀⁻²·h | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"permittivity": "1", "conductivity": "-1", "amount": "1", "molar_mass": "1", "light_speed": "2", "planck": "-1"} |
6 | amount,conductivity,elem_charge,light_speed,molar_mass,permittivity | ε·σ·n·M_m·c₀·e | chemistry,constants,em | ε²·σ⁻¹·n·M_m·c₀³·e⁻² | σ = k₀ · ε²·n·M_m·c₀³·e⁻² | null | 2 | 3 | 3 | 10 | 10 | -2.5 | false | {"permittivity": "2", "conductivity": "-1", "amount": "1", "molar_mass": "1", "light_speed": "3", "elem_charge": "-2"} |
6 | amount,conductivity,grav_const,molar_mass,permittivity,planck | ε·σ·n·M_m·G·h | chemistry,constants,em | ε·σ⁻¹·n⁵·M_m⁵·G²·h⁻³ | ε = k₀ · σ·n⁻⁵·M_m⁻⁵·G⁻²·h³ | null | 2 | 3 | 5 | 17 | 15.9 | -8.4 | false | {"permittivity": "1", "conductivity": "-1", "amount": "5", "molar_mass": "5", "grav_const": "2", "planck": "-3"} |
6 | amount,conductivity,elem_charge,molar_mass,permittivity,planck | ε·σ·n·M_m·h·e | chemistry,constants,em | ε·σ·n⁻¹·M_m⁻¹·h³·e⁻⁴ | ε = k₀ · σ⁻¹·n·M_m·h⁻³·e⁴ | null | 2 | 3 | 4 | 11 | 11.2 | -3.7 | false | {"permittivity": "1", "conductivity": "1", "amount": "-1", "molar_mass": "-1", "planck": "3", "elem_charge": "-4"} |
6 | amount,concentration,conductivity,grav_const,molar_energy,permittivity | ε·σ·n·c_n·E_m·G | chemistry,constants,em | ε¹²·σ⁻¹²·n⁻²·c_n⁵·E_m³·G³ | n = k₀ · ε⁶·σ⁻⁶·c_n⁵ᐟ²·E_m³ᐟ²·G³ᐟ² | null | 1 | 3 | 12 | 37 | 32.4 | -23.4 | false | {"permittivity": "12", "conductivity": "-12", "amount": "-2", "concentration": "5", "molar_energy": "3", "grav_const": "3"} |
5 | amount,concentration,conductivity,light_speed,permittivity | ε·σ·n·c_n·c₀ | chemistry,constants,em | ε³·σ⁻³·n⁻¹·c_n·c₀³ | n = k₀ · ε³·σ⁻³·c_n·c₀³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"permittivity": "3", "conductivity": "-3", "amount": "-1", "concentration": "1", "light_speed": "3"} |
6 | amount,concentration,conductivity,grav_const,permittivity,planck | ε·σ·n·c_n·G·h | chemistry,constants,em | ε⁹·σ⁻⁹·n⁻⁵·c_n⁵·G³·h³ | G = k₀ · ε⁻³·σ³·n⁵ᐟ³·c_n⁻⁵ᐟ³·h⁻¹ | null | 2 | 3 | 9 | 34 | 29.8 | -22.3 | false | {"permittivity": "9", "conductivity": "-9", "amount": "-5", "concentration": "5", "grav_const": "3", "planck": "3"} |
6 | amount,concentration,conductivity,elem_charge,grav_const,permittivity | ε·σ·n·c_n·G·e | chemistry,constants,em | ε³·σ⁻⁴·n⁻²·c_n²·G·e² | G = k₀ · ε⁻³·σ⁴·n²·c_n⁻²·e⁻² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "3", "conductivity": "-4", "amount": "-2", "concentration": "2", "grav_const": "1", "elem_charge": "2"} |
7 | amount,conductivity,grav_const,illuminance,lum_intensity,molar_energy,permittivity | ε·σ·n·E_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁸·σ⁻⁸·n²·E_m²·I_v⁻⁵·E_v⁵·G² | n = k₀ · ε⁻⁴·σ⁴·E_m⁻¹·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 8 | 32 | 27.8 | -19.3 | false | {"permittivity": "8", "conductivity": "-8", "amount": "2", "molar_energy": "2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2"} |
7 | amount,conductivity,grav_const,lum_intensity,luminance,molar_energy,permittivity | ε·σ·n·E_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁸·σ⁻⁸·n²·E_m²·I_v⁻⁵·L_v⁵·G² | n = k₀ · ε⁻⁴·σ⁴·E_m⁻¹·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 8 | 32 | 27.8 | -19.3 | false | {"permittivity": "8", "conductivity": "-8", "amount": "2", "molar_energy": "2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2"} |
6 | amount,conductivity,grav_const,light_speed,molar_energy,permittivity | ε·σ·n·E_m·c₀·G | chemistry,constants,em | ε·σ⁻¹·n⁻¹·E_m⁻¹·c₀⁵·G⁻¹ | ε = k₀ · σ·n·E_m·c₀⁻⁵·G | null | 2 | 3 | 5 | 10 | 11 | -3.5 | false | {"permittivity": "1", "conductivity": "-1", "amount": "-1", "molar_energy": "-1", "light_speed": "5", "grav_const": "-1"} |
6 | amount,conductivity,elem_charge,light_speed,molar_energy,permittivity | ε·σ·n·E_m·c₀·e | chemistry,constants,em | ε²·σ⁻¹·n·E_m·c₀·e⁻² | σ = k₀ · ε²·n·E_m·c₀·e⁻² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"permittivity": "2", "conductivity": "-1", "amount": "1", "molar_energy": "1", "light_speed": "1", "elem_charge": "-2"} |
6 | amount,conductivity,elem_charge,grav_const,molar_energy,permittivity | ε·σ·n·E_m·G·e | chemistry,constants,em | ε⁹·σ⁻⁴·n⁶·E_m⁶·G·e⁻¹⁰ | G = k₀ · ε⁻⁹·σ⁴·n⁻⁶·E_m⁻⁶·e¹⁰ | null | 2 | 3 | 10 | 36 | 31.7 | -24.2 | false | {"permittivity": "9", "conductivity": "-4", "amount": "6", "molar_energy": "6", "grav_const": "1", "elem_charge": "-10"} |
5 | amount,conductivity,molar_energy,permittivity,planck | ε·σ·n·E_m·h | chemistry,constants,em | ε·σ⁻¹·n·E_m·h⁻¹ | ε = k₀ · σ·n⁻¹·E_m⁻¹·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"permittivity": "1", "conductivity": "-1", "amount": "1", "molar_energy": "1", "planck": "-1"} |
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