size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | concentration,lum_intensity,luminance,molar_energy,permittivity,planck,resistivity | ε·ρ_e·c_n·E_m·I_v·L_v·h | chemistry,constants,em,photometry | ε²·ρ_e²·c_n²·E_m²·I_v³·L_v⁻³·h⁻² | ε = k₀ · ρ_e⁻¹·c_n⁻¹·E_m⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²·h | null | 1 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"permittivity": "2", "resistivity": "2", "concentration": "2", "molar_energy": "2", "lum_intensity": "3", "luminance": "-3", "planck": "-2"} |
6 | concentration,grav_const,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·c₀·G | chemistry,constants,em | ε²·ρ_e²·c_n·E_m·c₀⁻²·G | c_n = k₀ · ε⁻²·ρ_e⁻²·E_m⁻¹·c₀²·G⁻¹ | null | 2 | 3 | 2 | 9 | 8.8 | -1.3 | false | {"permittivity": "2", "resistivity": "2", "concentration": "1", "molar_energy": "1", "light_speed": "-2", "grav_const": "1"} |
6 | concentration,light_speed,molar_energy,permittivity,planck,resistivity | ε·ρ_e·c_n·E_m·c₀·h | chemistry,constants,em | ε⁴·ρ_e⁴·c_n·E_m·c₀³·h⁻¹ | c_n = k₀ · ε⁻⁴·ρ_e⁻⁴·E_m⁻¹·c₀⁻³·h | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "4", "resistivity": "4", "concentration": "1", "molar_energy": "1", "light_speed": "3", "planck": "-1"} |
6 | concentration,elem_charge,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·c₀·e | chemistry,constants,em | ε⁵·ρ_e⁴·c_n·E_m·c₀⁴·e⁻² | c_n = k₀ · ε⁻⁵·ρ_e⁻⁴·E_m⁻¹·c₀⁻⁴·e² | null | 2 | 3 | 5 | 17 | 15.9 | -8.4 | false | {"permittivity": "5", "resistivity": "4", "concentration": "1", "molar_energy": "1", "light_speed": "4", "elem_charge": "-2"} |
6 | concentration,grav_const,molar_energy,permittivity,planck,resistivity | ε·ρ_e·c_n·E_m·G·h | chemistry,constants,em | ε¹⁴·ρ_e¹⁴·c_n⁵·E_m⁵·G³·h⁻² | h = k₀ · ε⁷·ρ_e⁷·c_n⁵ᐟ²·E_m⁵ᐟ²·G³ᐟ² | null | 2 | 3 | 14 | 43 | 38.6 | -31.1 | false | {"permittivity": "14", "resistivity": "14", "concentration": "5", "molar_energy": "5", "grav_const": "3", "planck": "-2"} |
6 | concentration,elem_charge,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·G·e | chemistry,constants,em | ε⁹·ρ_e⁸·c_n³·E_m³·G²·e⁻² | G = k₀ · ε⁻⁹ᐟ²·ρ_e⁻⁴·c_n⁻³ᐟ²·E_m⁻³ᐟ²·e | null | 2 | 3 | 9 | 27 | 24.9 | -17.4 | false | {"permittivity": "9", "resistivity": "8", "concentration": "3", "molar_energy": "3", "grav_const": "2", "elem_charge": "-2"} |
6 | avogadro,concentration,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·G·N_A | chemistry,constants,em | ε¹²·ρ_e¹²·c_n⁵·E_m³·G³·N_A² | N_A = k₀ · ε⁻⁶·ρ_e⁻⁶·c_n⁻⁵ᐟ²·E_m⁻³ᐟ²·G⁻³ᐟ² | null | 2 | 3 | 12 | 37 | 33.4 | -25.9 | false | {"permittivity": "12", "resistivity": "12", "concentration": "5", "molar_energy": "3", "grav_const": "3", "avogadro": "2"} |
6 | concentration,elem_charge,molar_energy,permittivity,planck,resistivity | ε·ρ_e·c_n·E_m·h·e | chemistry,constants,em | ε·ρ_e⁴·c_n·E_m·h⁻⁴·e⁶ | ε = k₀ · ρ_e⁻⁴·c_n⁻¹·E_m⁻¹·h⁴·e⁻⁶ | null | 2 | 3 | 6 | 17 | 16.4 | -8.9 | false | {"permittivity": "1", "resistivity": "4", "concentration": "1", "molar_energy": "1", "planck": "-4", "elem_charge": "6"} |
6 | boltzmann,concentration,gas_constant,light_speed,permittivity,resistivity | ε·ρ_e·c_n·R·c₀·k_B | chemistry,constants,em | ε³·ρ_e³·c_n·R·c₀³·k_B⁻¹ | c_n = k₀ · ε⁻³·ρ_e⁻³·R⁻¹·c₀⁻³·k_B | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "resistivity": "3", "concentration": "1", "gas_constant": "1", "light_speed": "3", "boltzmann": "-1"} |
7 | boltzmann,concentration,gas_constant,grav_const,permittivity,planck,resistivity | ε·ρ_e·c_n·R·G·h·k_B | chemistry,constants,em | ε⁹·ρ_e⁹·c_n⁵·R⁵·G³·h³·k_B⁻⁵ | G = k₀ · ε⁻³·ρ_e⁻³·c_n⁻⁵ᐟ³·R⁻⁵ᐟ³·h⁻¹·k_B⁵ᐟ³ | null | 3 | 3 | 9 | 39 | 34.6 | -28.6 | false | {"permittivity": "9", "resistivity": "9", "concentration": "5", "gas_constant": "5", "grav_const": "3", "planck": "3", "boltzmann": "-5"} |
7 | boltzmann,concentration,elem_charge,gas_constant,grav_const,permittivity,resistivity | ε·ρ_e·c_n·R·G·k_B·e | chemistry,constants,em | ε³·ρ_e⁴·c_n²·R²·G·k_B⁻²·e² | G = k₀ · ε⁻³·ρ_e⁻⁴·c_n⁻²·R⁻²·k_B²·e⁻² | null | 3 | 3 | 4 | 16 | 16 | -10 | false | {"permittivity": "3", "resistivity": "4", "concentration": "2", "gas_constant": "2", "grav_const": "1", "boltzmann": "-2", "elem_charge": "2"} |
6 | cat_activity,concentration,illuminance,lum_intensity,permittivity,resistivity | ε·ρ_e·c_n·z·I_v·E_v | chemistry,em,photometry | ε²·ρ_e²·c_n⁻²·z²·I_v⁻³·E_v³ | ε = k₀ · ρ_e⁻¹·c_n·z⁻¹·I_v³ᐟ²·E_v⁻³ᐟ² | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"permittivity": "2", "resistivity": "2", "concentration": "-2", "cat_activity": "2", "lum_intensity": "-3", "illuminance": "3"} |
6 | cat_activity,concentration,lum_intensity,luminance,permittivity,resistivity | ε·ρ_e·c_n·z·I_v·L_v | chemistry,em,photometry | ε²·ρ_e²·c_n⁻²·z²·I_v⁻³·L_v³ | ε = k₀ · ρ_e⁻¹·c_n·z⁻¹·I_v³ᐟ²·L_v⁻³ᐟ² | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"permittivity": "2", "resistivity": "2", "concentration": "-2", "cat_activity": "2", "lum_intensity": "-3", "luminance": "3"} |
5 | cat_activity,concentration,light_speed,permittivity,resistivity | ε·ρ_e·c_n·z·c₀ | chemistry,constants,em | ε²·ρ_e²·c_n·z⁻¹·c₀³ | c_n = k₀ · ε⁻²·ρ_e⁻²·z·c₀⁻³ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"permittivity": "2", "resistivity": "2", "concentration": "1", "cat_activity": "-1", "light_speed": "3"} |
6 | cat_activity,concentration,grav_const,permittivity,planck,resistivity | ε·ρ_e·c_n·z·G·h | chemistry,constants,em | ε⁴·ρ_e⁴·c_n⁵·z⁻⁵·G³·h³ | G = k₀ · ε⁻⁴ᐟ³·ρ_e⁻⁴ᐟ³·c_n⁻⁵ᐟ³·z⁵ᐟ³·h⁻¹ | null | 2 | 3 | 5 | 24 | 20.8 | -13.3 | false | {"permittivity": "4", "resistivity": "4", "concentration": "5", "cat_activity": "-5", "grav_const": "3", "planck": "3"} |
6 | cat_activity,concentration,elem_charge,grav_const,permittivity,resistivity | ε·ρ_e·c_n·z·G·e | chemistry,constants,em | ε·ρ_e²·c_n²·z⁻²·G·e² | ε = k₀ · ρ_e⁻²·c_n⁻²·z²·G⁻¹·e⁻² | null | 2 | 3 | 2 | 10 | 9.5 | -2 | false | {"permittivity": "1", "resistivity": "2", "concentration": "2", "cat_activity": "-2", "grav_const": "1", "elem_charge": "2"} |
6 | cat_activity,concentration,elem_charge,permittivity,planck,resistivity | ε·ρ_e·c_n·z·h·e | chemistry,constants,em | ε·ρ_e⁻²·c_n⁻¹·z·h³·e⁻⁶ | ε = k₀ · ρ_e²·c_n·z⁻¹·h⁻³·e⁶ | null | 2 | 3 | 6 | 14 | 14.3 | -6.8 | false | {"permittivity": "1", "resistivity": "-2", "concentration": "-1", "cat_activity": "1", "planck": "3", "elem_charge": "-6"} |
5 | avogadro,concentration,light_speed,permittivity,resistivity | ε·ρ_e·c_n·c₀·N_A | chemistry,constants,em | ε³·ρ_e³·c_n·c₀³·N_A | c_n = k₀ · ε⁻³·ρ_e⁻³·c₀⁻³·N_A⁻¹ | null | 2 | 3 | 3 | 11 | 10.4 | -2.9 | false | {"permittivity": "3", "resistivity": "3", "concentration": "1", "light_speed": "3", "avogadro": "1"} |
6 | avogadro,concentration,grav_const,permittivity,planck,resistivity | ε·ρ_e·c_n·G·h·N_A | chemistry,constants,em | ε⁹·ρ_e⁹·c_n⁵·G³·h³·N_A⁵ | G = k₀ · ε⁻³·ρ_e⁻³·c_n⁻⁵ᐟ³·h⁻¹·N_A⁻⁵ᐟ³ | null | 3 | 3 | 9 | 34 | 30.8 | -24.8 | false | {"permittivity": "9", "resistivity": "9", "concentration": "5", "grav_const": "3", "planck": "3", "avogadro": "5"} |
6 | avogadro,concentration,elem_charge,grav_const,permittivity,resistivity | ε·ρ_e·c_n·G·e·N_A | chemistry,constants,em | ε³·ρ_e⁴·c_n²·G·e²·N_A² | G = k₀ · ε⁻³·ρ_e⁻⁴·c_n⁻²·e⁻²·N_A⁻² | null | 3 | 3 | 4 | 14 | 14.3 | -8.3 | false | {"permittivity": "3", "resistivity": "4", "concentration": "2", "grav_const": "1", "elem_charge": "2", "avogadro": "2"} |
8 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·R·I_v·E_v·G·k_B | chemistry,constants,em,photometry | ε⁸·ρ_e⁸·E_m²·R⁻²·I_v⁻⁵·E_v⁵·G²·k_B² | E_m = k₀ · ε⁻⁴·ρ_e⁻⁴·R·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 8 | 34 | 30.5 | -23.5 | false | {"permittivity": "8", "resistivity": "8", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·R·I_v·L_v·G·k_B | chemistry,constants,em,photometry | ε⁸·ρ_e⁸·E_m²·R⁻²·I_v⁻⁵·L_v⁵·G²·k_B² | E_m = k₀ · ε⁻⁴·ρ_e⁻⁴·R·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 8 | 34 | 30.5 | -23.5 | false | {"permittivity": "8", "resistivity": "8", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·R·c₀·G·k_B | chemistry,constants,em | ε·ρ_e·E_m⁻¹·R·c₀⁵·G⁻¹·k_B⁻¹ | ε = k₀ · ρ_e⁻¹·E_m·R⁻¹·c₀⁻⁵·G·k_B | null | 3 | 3 | 5 | 11 | 13 | -7 | false | {"permittivity": "1", "resistivity": "1", "molar_energy": "-1", "gas_constant": "1", "light_speed": "5", "grav_const": "-1", "boltzmann": "-1"} |
7 | boltzmann,elem_charge,gas_constant,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·R·c₀·k_B·e | chemistry,constants,em | ε²·ρ_e·E_m·R⁻¹·c₀·k_B·e⁻² | ρ_e = k₀ · ε⁻²·E_m⁻¹·R·c₀⁻¹·k_B⁻¹·e² | null | 3 | 3 | 2 | 9 | 10.1 | -4.1 | false | {"permittivity": "2", "resistivity": "1", "molar_energy": "1", "gas_constant": "-1", "light_speed": "1", "boltzmann": "1", "elem_charge": "-2"} |
7 | boltzmann,elem_charge,gas_constant,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·R·G·k_B·e | chemistry,constants,em | ε⁹·ρ_e⁴·E_m⁶·R⁻⁶·G·k_B⁶·e⁻¹⁰ | G = k₀ · ε⁻⁹·ρ_e⁻⁴·E_m⁻⁶·R⁶·k_B⁻⁶·e¹⁰ | null | 3 | 3 | 10 | 42 | 37.2 | -31.2 | false | {"permittivity": "9", "resistivity": "4", "molar_energy": "6", "gas_constant": "-6", "grav_const": "1", "boltzmann": "6", "elem_charge": "-10"} |
6 | boltzmann,gas_constant,molar_energy,permittivity,planck,resistivity | ε·ρ_e·E_m·R·h·k_B | chemistry,constants,em | ε·ρ_e·E_m·R⁻¹·h⁻¹·k_B | ε = k₀ · ρ_e⁻¹·E_m⁻¹·R·h·k_B⁻¹ | null | 2 | 3 | 1 | 6 | 6.2 | 1.3 | false | {"permittivity": "1", "resistivity": "1", "molar_energy": "1", "gas_constant": "-1", "planck": "-1", "boltzmann": "1"} |
7 | cat_activity,grav_const,illuminance,lum_intensity,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·z·I_v·E_v·G | chemistry,constants,em,photometry | ε¹⁰·ρ_e¹⁰·E_m²·z²·I_v⁻⁵·E_v⁵·G² | E_m = k₀ · ε⁻⁵·ρ_e⁻⁵·z⁻¹·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 10 | 36 | 31.6 | -23.1 | false | {"permittivity": "10", "resistivity": "10", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2"} |
7 | cat_activity,elem_charge,illuminance,lum_intensity,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·z·I_v·E_v·e | chemistry,constants,em,photometry | ε⁴·ρ_e²·E_m²·z²·I_v·E_v⁻¹·e⁻⁴ | I_v = k₀ · ε⁻⁴·ρ_e⁻²·E_m⁻²·z⁻²·E_v·e⁴ | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "4", "resistivity": "2", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-4"} |
7 | cat_activity,grav_const,lum_intensity,luminance,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·z·I_v·L_v·G | chemistry,constants,em,photometry | ε¹⁰·ρ_e¹⁰·E_m²·z²·I_v⁻⁵·L_v⁵·G² | E_m = k₀ · ε⁻⁵·ρ_e⁻⁵·z⁻¹·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 10 | 36 | 31.6 | -23.1 | false | {"permittivity": "10", "resistivity": "10", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2"} |
7 | cat_activity,elem_charge,lum_intensity,luminance,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·z·I_v·L_v·e | chemistry,constants,em,photometry | ε⁴·ρ_e²·E_m²·z²·I_v·L_v⁻¹·e⁻⁴ | I_v = k₀ · ε⁻⁴·ρ_e⁻²·E_m⁻²·z⁻²·L_v·e⁴ | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "4", "resistivity": "2", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-4"} |
6 | cat_activity,elem_charge,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·z·c₀·e | chemistry,constants,em | ε³·ρ_e²·E_m·z·c₀·e⁻² | E_m = k₀ · ε⁻³·ρ_e⁻²·z⁻¹·c₀⁻¹·e² | null | 2 | 3 | 3 | 10 | 10 | -2.5 | false | {"permittivity": "3", "resistivity": "2", "molar_energy": "1", "cat_activity": "1", "light_speed": "1", "elem_charge": "-2"} |
6 | cat_activity,elem_charge,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·z·G·e | chemistry,constants,em | ε¹⁵·ρ_e¹⁰·E_m⁶·z⁶·G·e⁻¹⁰ | G = k₀ · ε⁻¹⁵·ρ_e⁻¹⁰·E_m⁻⁶·z⁻⁶·e¹⁰ | null | 2 | 3 | 15 | 48 | 42.6 | -35.1 | false | {"permittivity": "15", "resistivity": "10", "molar_energy": "6", "cat_activity": "6", "grav_const": "1", "elem_charge": "-10"} |
5 | cat_activity,molar_energy,permittivity,planck,resistivity | ε·ρ_e·E_m·z·h | chemistry,constants,em | ε²·ρ_e²·E_m·z·h⁻¹ | E_m = k₀ · ε⁻²·ρ_e⁻²·z⁻¹·h | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"permittivity": "2", "resistivity": "2", "molar_energy": "1", "cat_activity": "1", "planck": "-1"} |
7 | avogadro,grav_const,illuminance,lum_intensity,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·I_v·E_v·G·N_A | chemistry,constants,em,photometry | ε⁸·ρ_e⁸·E_m²·I_v⁻⁵·E_v⁵·G²·N_A⁻² | E_m = k₀ · ε⁻⁴·ρ_e⁻⁴·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·N_A | null | 2 | 4 | 8 | 32 | 28.8 | -21.8 | false | {"permittivity": "8", "resistivity": "8", "molar_energy": "2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,grav_const,lum_intensity,luminance,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·I_v·L_v·G·N_A | chemistry,constants,em,photometry | ε⁸·ρ_e⁸·E_m²·I_v⁻⁵·L_v⁵·G²·N_A⁻² | E_m = k₀ · ε⁻⁴·ρ_e⁻⁴·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·N_A | null | 2 | 4 | 8 | 32 | 28.8 | -21.8 | false | {"permittivity": "8", "resistivity": "8", "molar_energy": "2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,grav_const,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·c₀·G·N_A | chemistry,constants,em | ε·ρ_e·E_m⁻¹·c₀⁵·G⁻¹·N_A | ε = k₀ · ρ_e⁻¹·E_m·c₀⁻⁵·G·N_A⁻¹ | null | 3 | 3 | 5 | 10 | 12 | -6 | false | {"permittivity": "1", "resistivity": "1", "molar_energy": "-1", "light_speed": "5", "grav_const": "-1", "avogadro": "1"} |
6 | avogadro,elem_charge,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·c₀·e·N_A | chemistry,constants,em | ε²·ρ_e·E_m·c₀·e⁻²·N_A⁻¹ | ρ_e = k₀ · ε⁻²·E_m⁻¹·c₀⁻¹·e²·N_A | null | 3 | 3 | 2 | 8 | 9.1 | -3.1 | false | {"permittivity": "2", "resistivity": "1", "molar_energy": "1", "light_speed": "1", "elem_charge": "-2", "avogadro": "-1"} |
6 | avogadro,elem_charge,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·E_m·G·e·N_A | chemistry,constants,em | ε⁹·ρ_e⁴·E_m⁶·G·e⁻¹⁰·N_A⁻⁶ | G = k₀ · ε⁻⁹·ρ_e⁻⁴·E_m⁻⁶·e¹⁰·N_A⁶ | null | 3 | 3 | 10 | 36 | 32.7 | -26.7 | false | {"permittivity": "9", "resistivity": "4", "molar_energy": "6", "grav_const": "1", "elem_charge": "-10", "avogadro": "-6"} |
5 | avogadro,molar_energy,permittivity,planck,resistivity | ε·ρ_e·E_m·h·N_A | chemistry,constants,em | ε·ρ_e·E_m·h⁻¹·N_A⁻¹ | ε = k₀ · ρ_e⁻¹·E_m⁻¹·h·N_A | null | 2 | 3 | 1 | 5 | 5.2 | 2.3 | false | {"permittivity": "1", "resistivity": "1", "molar_energy": "1", "planck": "-1", "avogadro": "-1"} |
5 | boltzmann,cat_activity,gas_constant,permittivity,resistivity | ε·ρ_e·R·z·k_B | chemistry,constants,em | ε·ρ_e·R·z·k_B⁻¹ | ε = k₀ · ρ_e⁻¹·R⁻¹·z⁻¹·k_B | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"permittivity": "1", "resistivity": "1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
4 | avogadro,cat_activity,permittivity,resistivity | ε·ρ_e·z·N_A | chemistry,constants,em | ε·ρ_e·z·N_A | ε = k₀ · ρ_e⁻¹·z⁻¹·N_A⁻¹ | null | 1 | 3 | 1 | 4 | 3.2 | 5.8 | false | {"permittivity": "1", "resistivity": "1", "cat_activity": "1", "avogadro": "1"} |
5 | illuminance,light_speed,lum_intensity,permittivity,resistivity | ε·ρ_e·I_v·E_v·c₀ | constants,em,photometry | ε²·ρ_e²·I_v⁻¹·E_v·c₀² | I_v = k₀ · ε²·ρ_e²·E_v·c₀² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"permittivity": "2", "resistivity": "2", "lum_intensity": "-1", "illuminance": "1", "light_speed": "2"} |
6 | grav_const,illuminance,lum_intensity,permittivity,planck,resistivity | ε·ρ_e·I_v·E_v·G·h | constants,em,photometry | ε⁶·ρ_e⁶·I_v⁻⁵·E_v⁵·G²·h² | G = k₀ · ε⁻³·ρ_e⁻³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻¹ | null | 2 | 3 | 6 | 26 | 22.7 | -15.2 | false | {"permittivity": "6", "resistivity": "6", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "planck": "2"} |
6 | elem_charge,grav_const,illuminance,lum_intensity,permittivity,resistivity | ε·ρ_e·I_v·E_v·G·e | constants,em,photometry | ε³·ρ_e⁴·I_v⁻³·E_v³·G·e² | G = k₀ · ε⁻³·ρ_e⁻⁴·I_v³·E_v⁻³·e⁻² | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "3", "resistivity": "4", "lum_intensity": "-3", "illuminance": "3", "grav_const": "1", "elem_charge": "2"} |
5 | light_speed,lum_intensity,luminance,permittivity,resistivity | ε·ρ_e·I_v·L_v·c₀ | constants,em,photometry | ε²·ρ_e²·I_v⁻¹·L_v·c₀² | I_v = k₀ · ε²·ρ_e²·L_v·c₀² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"permittivity": "2", "resistivity": "2", "lum_intensity": "-1", "luminance": "1", "light_speed": "2"} |
6 | grav_const,lum_intensity,luminance,permittivity,planck,resistivity | ε·ρ_e·I_v·L_v·G·h | constants,em,photometry | ε⁶·ρ_e⁶·I_v⁻⁵·L_v⁵·G²·h² | G = k₀ · ε⁻³·ρ_e⁻³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻¹ | null | 2 | 3 | 6 | 26 | 22.7 | -15.2 | false | {"permittivity": "6", "resistivity": "6", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "planck": "2"} |
6 | elem_charge,grav_const,lum_intensity,luminance,permittivity,resistivity | ε·ρ_e·I_v·L_v·G·e | constants,em,photometry | ε³·ρ_e⁴·I_v⁻³·L_v³·G·e² | G = k₀ · ε⁻³·ρ_e⁻⁴·I_v³·L_v⁻³·e⁻² | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "3", "resistivity": "4", "lum_intensity": "-3", "luminance": "3", "grav_const": "1", "elem_charge": "2"} |
5 | grav_const,light_speed,permittivity,planck,resistivity | ε·ρ_e·c₀·G·h | constants,em | ε²·ρ_e²·c₀⁵·G⁻¹·h⁻¹ | G = k₀ · ε²·ρ_e²·c₀⁵·h⁻¹ | null | 3 | 2 | 5 | 11 | 11.8 | -5.3 | false | {"permittivity": "2", "resistivity": "2", "light_speed": "5", "grav_const": "-1", "planck": "-1"} |
5 | elem_charge,grav_const,light_speed,permittivity,resistivity | ε·ρ_e·c₀·G·e | constants,em | ε³·ρ_e²·c₀⁶·G⁻¹·e⁻² | G = k₀ · ε³·ρ_e²·c₀⁶·e⁻² | null | 3 | 2 | 6 | 14 | 14.4 | -7.9 | false | {"permittivity": "3", "resistivity": "2", "light_speed": "6", "grav_const": "-1", "elem_charge": "-2"} |
5 | elem_charge,grav_const,permittivity,planck,resistivity | ε·ρ_e·G·h·e | constants,em | ε³·ρ_e⁻²·G·h⁶·e⁻¹⁰ | G = k₀ · ε⁻³·ρ_e²·h⁻⁶·e¹⁰ | null | 3 | 2 | 10 | 22 | 22 | -15.5 | false | {"permittivity": "3", "resistivity": "-2", "grav_const": "1", "planck": "6", "elem_charge": "-10"} |
6 | amount,concentration,elem_charge,light_speed,molar_mass,permittivity | ε·n·M_m·c_n·c₀·e | chemistry,constants,em | ε³·n⁴·M_m³·c_n⁻¹·c₀⁶·e⁻⁶ | c_n = k₀ · ε³·n⁴·M_m³·c₀⁶·e⁻⁶ | null | 2 | 3 | 6 | 23 | 20.6 | -13.1 | false | {"permittivity": "3", "amount": "4", "molar_mass": "3", "concentration": "-1", "light_speed": "6", "elem_charge": "-6"} |
6 | amount,concentration,elem_charge,molar_mass,permittivity,planck | ε·n·M_m·c_n·h·e | chemistry,constants,em | ε³·n⁻⁴·M_m⁻³·c_n·h⁶·e⁻⁶ | c_n = k₀ · ε⁻³·n⁴·M_m³·h⁻⁶·e⁶ | null | 2 | 3 | 6 | 23 | 20.6 | -13.1 | false | {"permittivity": "3", "amount": "-4", "molar_mass": "-3", "concentration": "1", "planck": "6", "elem_charge": "-6"} |
6 | amount,cat_activity,elem_charge,molar_energy,molar_mass,permittivity | ε·n·M_m·E_m·z·e | chemistry,constants,em | ε²·n⁴·M_m⁻¹·E_m³·z⁻²·e⁻⁴ | M_m = k₀ · ε²·n⁴·E_m³·z⁻²·e⁻⁴ | null | 1 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"permittivity": "2", "amount": "4", "molar_mass": "-1", "molar_energy": "3", "cat_activity": "-2", "elem_charge": "-4"} |
7 | amount,cat_activity,elem_charge,illuminance,lum_intensity,molar_mass,permittivity | ε·n·M_m·z·I_v·E_v·e | chemistry,constants,em,photometry | ε²·n⁻²·M_m²·z⁴·I_v³·E_v⁻³·e⁻⁴ | ε = k₀ · n·M_m⁻¹·z⁻²·I_v⁻³ᐟ²·E_v³ᐟ²·e² | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "2", "amount": "-2", "molar_mass": "2", "cat_activity": "4", "lum_intensity": "3", "illuminance": "-3", "elem_charge": "-4"} |
7 | amount,cat_activity,elem_charge,lum_intensity,luminance,molar_mass,permittivity | ε·n·M_m·z·I_v·L_v·e | chemistry,constants,em,photometry | ε²·n⁻²·M_m²·z⁴·I_v³·L_v⁻³·e⁻⁴ | ε = k₀ · n·M_m⁻¹·z⁻²·I_v⁻³ᐟ²·L_v³ᐟ²·e² | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "2", "amount": "-2", "molar_mass": "2", "cat_activity": "4", "lum_intensity": "3", "luminance": "-3", "elem_charge": "-4"} |
6 | amount,cat_activity,elem_charge,light_speed,molar_mass,permittivity | ε·n·M_m·z·c₀·e | chemistry,constants,em | ε·n²·M_m·z⁻¹·c₀³·e⁻² | ε = k₀ · n⁻²·M_m⁻¹·z·c₀⁻³·e² | null | 2 | 3 | 3 | 10 | 10 | -2.5 | false | {"permittivity": "1", "amount": "2", "molar_mass": "1", "cat_activity": "-1", "light_speed": "3", "elem_charge": "-2"} |
6 | amount,cat_activity,elem_charge,molar_mass,permittivity,planck | ε·n·M_m·z·h·e | chemistry,constants,em | ε²·n⁻²·M_m⁻¹·z·h³·e⁻⁴ | M_m = k₀ · ε²·n⁻²·z·h³·e⁻⁴ | null | 2 | 3 | 4 | 13 | 12.6 | -5.1 | false | {"permittivity": "2", "amount": "-2", "molar_mass": "-1", "cat_activity": "1", "planck": "3", "elem_charge": "-4"} |
7 | amount,elem_charge,illuminance,light_speed,lum_intensity,molar_mass,permittivity | ε·n·M_m·I_v·E_v·c₀·e | chemistry,constants,em,photometry | ε²·n²·M_m²·I_v·E_v⁻¹·c₀⁴·e⁻⁴ | I_v = k₀ · ε⁻²·n⁻²·M_m⁻²·E_v·c₀⁻⁴·e⁴ | null | 2 | 4 | 4 | 16 | 15.6 | -8.6 | false | {"permittivity": "2", "amount": "2", "molar_mass": "2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "4", "elem_charge": "-4"} |
7 | amount,elem_charge,illuminance,lum_intensity,molar_mass,permittivity,planck | ε·n·M_m·I_v·E_v·h·e | chemistry,constants,em,photometry | ε²·n⁻²·M_m⁻²·I_v⁻¹·E_v·h⁴·e⁻⁴ | I_v = k₀ · ε²·n⁻²·M_m⁻²·E_v·h⁴·e⁻⁴ | null | 2 | 4 | 4 | 16 | 15.6 | -8.6 | false | {"permittivity": "2", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-1", "illuminance": "1", "planck": "4", "elem_charge": "-4"} |
7 | amount,elem_charge,light_speed,lum_intensity,luminance,molar_mass,permittivity | ε·n·M_m·I_v·L_v·c₀·e | chemistry,constants,em,photometry | ε²·n²·M_m²·I_v·L_v⁻¹·c₀⁴·e⁻⁴ | I_v = k₀ · ε⁻²·n⁻²·M_m⁻²·L_v·c₀⁻⁴·e⁴ | null | 2 | 4 | 4 | 16 | 15.6 | -8.6 | false | {"permittivity": "2", "amount": "2", "molar_mass": "2", "lum_intensity": "1", "luminance": "-1", "light_speed": "4", "elem_charge": "-4"} |
7 | amount,elem_charge,lum_intensity,luminance,molar_mass,permittivity,planck | ε·n·M_m·I_v·L_v·h·e | chemistry,constants,em,photometry | ε²·n⁻²·M_m⁻²·I_v⁻¹·L_v·h⁴·e⁻⁴ | I_v = k₀ · ε²·n⁻²·M_m⁻²·L_v·h⁴·e⁻⁴ | null | 2 | 4 | 4 | 16 | 15.6 | -8.6 | false | {"permittivity": "2", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-1", "luminance": "1", "planck": "4", "elem_charge": "-4"} |
5 | amount,elem_charge,grav_const,molar_mass,permittivity | ε·n·M_m·G·e | chemistry,constants,em | ε·n²·M_m²·G·e⁻² | ε = k₀ · n⁻²·M_m⁻²·G⁻¹·e² | null | 2 | 3 | 2 | 8 | 7.8 | -0.3 | false | {"permittivity": "1", "amount": "2", "molar_mass": "2", "grav_const": "1", "elem_charge": "-2"} |
5 | amount,concentration,elem_charge,molar_energy,permittivity | ε·n·c_n·E_m·e | chemistry,constants,em | ε³·n⁴·c_n⁻¹·E_m³·e⁻⁶ | c_n = k₀ · ε³·n⁴·E_m³·e⁻⁶ | null | 1 | 3 | 6 | 17 | 15.1 | -6.1 | false | {"permittivity": "3", "amount": "4", "concentration": "-1", "molar_energy": "3", "elem_charge": "-6"} |
6 | amount,cat_activity,concentration,elem_charge,grav_const,permittivity | ε·n·c_n·z·G·e | chemistry,constants,em | ε·n⁻²·c_n⁻²·z⁴·G⁻¹·e⁻² | ε = k₀ · n²·c_n²·z⁻⁴·G·e² | null | 2 | 3 | 4 | 12 | 11.9 | -4.4 | false | {"permittivity": "1", "amount": "-2", "concentration": "-2", "cat_activity": "4", "grav_const": "-1", "elem_charge": "-2"} |
6 | amount,cat_activity,concentration,elem_charge,permittivity,planck | ε·n·c_n·z·h·e | chemistry,constants,em | ε³·n⁻²·c_n⁻¹·z³·h³·e⁻⁶ | c_n = k₀ · ε³·n⁻²·z³·h³·e⁻⁶ | null | 2 | 3 | 6 | 18 | 17.1 | -9.6 | false | {"permittivity": "3", "amount": "-2", "concentration": "-1", "cat_activity": "3", "planck": "3", "elem_charge": "-6"} |
6 | amount,concentration,elem_charge,grav_const,light_speed,permittivity | ε·n·c_n·c₀·G·e | chemistry,constants,em | ε³·n²·c_n⁻²·c₀¹²·G⁻³·e⁻⁶ | n = k₀ · ε⁻³ᐟ²·c_n·c₀⁻⁶·G³ᐟ²·e³ | null | 3 | 3 | 12 | 28 | 28.1 | -22.1 | false | {"permittivity": "3", "amount": "2", "concentration": "-2", "light_speed": "12", "grav_const": "-3", "elem_charge": "-6"} |
6 | amount,concentration,elem_charge,grav_const,permittivity,planck | ε·n·c_n·G·h·e | chemistry,constants,em | ε⁹·n⁻²·c_n²·G³·h¹²·e⁻¹⁸ | n = k₀ · ε⁹ᐟ²·c_n·G³ᐟ²·h⁶·e⁻⁹ | null | 3 | 3 | 18 | 46 | 43.7 | -37.7 | false | {"permittivity": "9", "amount": "-2", "concentration": "2", "grav_const": "3", "planck": "12", "elem_charge": "-18"} |
6 | amount,cat_activity,elem_charge,light_speed,molar_energy,permittivity | ε·n·E_m·z·c₀·e | chemistry,constants,em | ε·n²·E_m·z⁻¹·c₀·e⁻² | ε = k₀ · n⁻²·E_m⁻¹·z·c₀⁻¹·e² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"permittivity": "1", "amount": "2", "molar_energy": "1", "cat_activity": "-1", "light_speed": "1", "elem_charge": "-2"} |
6 | amount,cat_activity,elem_charge,grav_const,molar_energy,permittivity | ε·n·E_m·z·G·e | chemistry,constants,em | ε⁵·n¹⁰·E_m⁶·z⁻⁴·G·e⁻¹⁰ | G = k₀ · ε⁻⁵·n⁻¹⁰·E_m⁻⁶·z⁴·e¹⁰ | null | 2 | 3 | 10 | 36 | 31.7 | -24.2 | false | {"permittivity": "5", "amount": "10", "molar_energy": "6", "cat_activity": "-4", "grav_const": "1", "elem_charge": "-10"} |
6 | amount,elem_charge,illuminance,lum_intensity,molar_energy,permittivity | ε·n·E_m·I_v·E_v·e | chemistry,constants,em,photometry | ε²·n²·E_m²·I_v·E_v⁻¹·e⁻⁴ | I_v = k₀ · ε⁻²·n⁻²·E_m⁻²·E_v·e⁴ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"permittivity": "2", "amount": "2", "molar_energy": "2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-4"} |
6 | amount,elem_charge,lum_intensity,luminance,molar_energy,permittivity | ε·n·E_m·I_v·L_v·e | chemistry,constants,em,photometry | ε²·n²·E_m²·I_v·L_v⁻¹·e⁻⁴ | I_v = k₀ · ε⁻²·n⁻²·E_m⁻²·L_v·e⁴ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"permittivity": "2", "amount": "2", "molar_energy": "2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-4"} |
6 | amount,elem_charge,grav_const,light_speed,molar_energy,permittivity | ε·n·E_m·c₀·G·e | chemistry,constants,em | ε·n²·E_m²·c₀⁻⁴·G·e⁻² | ε = k₀ · n⁻²·E_m⁻²·c₀⁴·G⁻¹·e² | null | 3 | 3 | 4 | 12 | 12.9 | -6.9 | false | {"permittivity": "1", "amount": "2", "molar_energy": "2", "light_speed": "-4", "grav_const": "1", "elem_charge": "-2"} |
6 | amount,elem_charge,grav_const,molar_energy,permittivity,planck | ε·n·E_m·G·h·e | chemistry,constants,em | ε⁵·n²·E_m²·G·h⁴·e⁻¹⁰ | G = k₀ · ε⁻⁵·n⁻²·E_m⁻²·h⁻⁴·e¹⁰ | null | 3 | 3 | 10 | 24 | 24.3 | -18.3 | false | {"permittivity": "5", "amount": "2", "molar_energy": "2", "grav_const": "1", "planck": "4", "elem_charge": "-10"} |
7 | amount,cat_activity,elem_charge,grav_const,illuminance,lum_intensity,permittivity | ε·n·z·I_v·E_v·G·e | chemistry,constants,em,photometry | ε·n⁻⁴·z⁴·I_v³·E_v⁻³·G⁻¹·e⁻² | ε = k₀ · n⁴·z⁻⁴·I_v⁻³·E_v³·G·e² | null | 2 | 4 | 4 | 18 | 17 | -10 | false | {"permittivity": "1", "amount": "-4", "cat_activity": "4", "lum_intensity": "3", "illuminance": "-3", "grav_const": "-1", "elem_charge": "-2"} |
7 | amount,cat_activity,elem_charge,illuminance,lum_intensity,permittivity,planck | ε·n·z·I_v·E_v·h·e | chemistry,constants,em,photometry | ε²·n⁻²·z²·I_v·E_v⁻¹·h²·e⁻⁴ | I_v = k₀ · ε⁻²·n²·z⁻²·E_v·h⁻²·e⁴ | null | 2 | 4 | 4 | 14 | 14.2 | -7.2 | false | {"permittivity": "2", "amount": "-2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "planck": "2", "elem_charge": "-4"} |
7 | amount,cat_activity,elem_charge,grav_const,lum_intensity,luminance,permittivity | ε·n·z·I_v·L_v·G·e | chemistry,constants,em,photometry | ε·n⁻⁴·z⁴·I_v³·L_v⁻³·G⁻¹·e⁻² | ε = k₀ · n⁴·z⁻⁴·I_v⁻³·L_v³·G·e² | null | 2 | 4 | 4 | 18 | 17 | -10 | false | {"permittivity": "1", "amount": "-4", "cat_activity": "4", "lum_intensity": "3", "luminance": "-3", "grav_const": "-1", "elem_charge": "-2"} |
7 | amount,cat_activity,elem_charge,lum_intensity,luminance,permittivity,planck | ε·n·z·I_v·L_v·h·e | chemistry,constants,em,photometry | ε²·n⁻²·z²·I_v·L_v⁻¹·h²·e⁻⁴ | I_v = k₀ · ε⁻²·n²·z⁻²·L_v·h⁻²·e⁴ | null | 2 | 4 | 4 | 14 | 14.2 | -7.2 | false | {"permittivity": "2", "amount": "-2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "planck": "2", "elem_charge": "-4"} |
6 | amount,cat_activity,elem_charge,grav_const,light_speed,permittivity | ε·n·z·c₀·G·e | chemistry,constants,em | ε·n²·z⁻²·c₀⁶·G⁻¹·e⁻² | ε = k₀ · n⁻²·z²·c₀⁻⁶·G·e² | null | 3 | 3 | 6 | 14 | 15.3 | -9.3 | false | {"permittivity": "1", "amount": "2", "cat_activity": "-2", "light_speed": "6", "grav_const": "-1", "elem_charge": "-2"} |
6 | amount,cat_activity,elem_charge,grav_const,permittivity,planck | ε·n·z·G·h·e | chemistry,constants,em | ε⁵·n⁻²·z²·G·h⁶·e⁻¹⁰ | G = k₀ · ε⁻⁵·n²·z⁻²·h⁻⁶·e¹⁰ | null | 3 | 3 | 10 | 26 | 25.7 | -19.7 | false | {"permittivity": "5", "amount": "-2", "cat_activity": "2", "grav_const": "1", "planck": "6", "elem_charge": "-10"} |
6 | concentration,elem_charge,grav_const,molar_energy,molar_mass,permittivity | ε·M_m·c_n·E_m·G·e | chemistry,constants,em | ε·M_m⁻⁴·c_n⁻¹·E_m³·G⁻²·e⁻² | ε = k₀ · M_m⁴·c_n·E_m⁻³·G²·e² | null | 2 | 3 | 4 | 13 | 12.6 | -5.1 | false | {"permittivity": "1", "molar_mass": "-4", "concentration": "-1", "molar_energy": "3", "grav_const": "-2", "elem_charge": "-2"} |
7 | boltzmann,concentration,elem_charge,gas_constant,light_speed,molar_mass,permittivity | ε·M_m·c_n·R·c₀·k_B·e | chemistry,constants,em | ε³·M_m³·c_n⁻¹·R⁻⁴·c₀⁶·k_B⁴·e⁻⁶ | c_n = k₀ · ε³·M_m³·R⁻⁴·c₀⁶·k_B⁴·e⁻⁶ | null | 3 | 3 | 6 | 27 | 24.7 | -18.7 | false | {"permittivity": "3", "molar_mass": "3", "concentration": "-1", "gas_constant": "-4", "light_speed": "6", "boltzmann": "4", "elem_charge": "-6"} |
7 | boltzmann,concentration,elem_charge,gas_constant,molar_mass,permittivity,planck | ε·M_m·c_n·R·h·k_B·e | chemistry,constants,em | ε³·M_m⁻³·c_n·R⁴·h⁶·k_B⁻⁴·e⁻⁶ | c_n = k₀ · ε⁻³·M_m³·R⁻⁴·h⁻⁶·k_B⁴·e⁶ | null | 3 | 3 | 6 | 27 | 24.7 | -18.7 | false | {"permittivity": "3", "molar_mass": "-3", "concentration": "1", "gas_constant": "4", "planck": "6", "boltzmann": "-4", "elem_charge": "-6"} |
5 | cat_activity,concentration,elem_charge,molar_mass,permittivity | ε·M_m·c_n·z·e | chemistry,constants,em | ε·M_m·c_n⁻¹·z²·e⁻² | ε = k₀ · M_m⁻¹·c_n·z⁻²·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"permittivity": "1", "molar_mass": "1", "concentration": "-1", "cat_activity": "2", "elem_charge": "-2"} |
7 | concentration,elem_charge,illuminance,light_speed,lum_intensity,molar_mass,permittivity | ε·M_m·c_n·I_v·E_v·c₀·e | chemistry,constants,em,photometry | ε·M_m·c_n·I_v²·E_v⁻²·c₀²·e⁻² | ε = k₀ · M_m⁻¹·c_n⁻¹·I_v⁻²·E_v²·c₀⁻²·e² | null | 2 | 4 | 2 | 11 | 11.1 | -4.1 | false | {"permittivity": "1", "molar_mass": "1", "concentration": "1", "lum_intensity": "2", "illuminance": "-2", "light_speed": "2", "elem_charge": "-2"} |
7 | concentration,elem_charge,grav_const,illuminance,lum_intensity,molar_mass,permittivity | ε·M_m·c_n·I_v·E_v·G·e | chemistry,constants,em,photometry | ε·M_m²·c_n²·I_v³·E_v⁻³·G·e⁻² | ε = k₀ · M_m⁻²·c_n⁻²·I_v⁻³·E_v³·G⁻¹·e² | null | 2 | 4 | 3 | 14 | 13.7 | -6.7 | false | {"permittivity": "1", "molar_mass": "2", "concentration": "2", "lum_intensity": "3", "illuminance": "-3", "grav_const": "1", "elem_charge": "-2"} |
7 | concentration,elem_charge,illuminance,lum_intensity,molar_mass,permittivity,planck | ε·M_m·c_n·I_v·E_v·h·e | chemistry,constants,em,photometry | ε·M_m⁻¹·c_n⁻¹·I_v⁻²·E_v²·h²·e⁻² | ε = k₀ · M_m·c_n·I_v²·E_v⁻²·h⁻²·e² | null | 2 | 4 | 2 | 11 | 11.1 | -4.1 | false | {"permittivity": "1", "molar_mass": "-1", "concentration": "-1", "lum_intensity": "-2", "illuminance": "2", "planck": "2", "elem_charge": "-2"} |
7 | concentration,elem_charge,light_speed,lum_intensity,luminance,molar_mass,permittivity | ε·M_m·c_n·I_v·L_v·c₀·e | chemistry,constants,em,photometry | ε·M_m·c_n·I_v²·L_v⁻²·c₀²·e⁻² | ε = k₀ · M_m⁻¹·c_n⁻¹·I_v⁻²·L_v²·c₀⁻²·e² | null | 2 | 4 | 2 | 11 | 11.1 | -4.1 | false | {"permittivity": "1", "molar_mass": "1", "concentration": "1", "lum_intensity": "2", "luminance": "-2", "light_speed": "2", "elem_charge": "-2"} |
7 | concentration,elem_charge,grav_const,lum_intensity,luminance,molar_mass,permittivity | ε·M_m·c_n·I_v·L_v·G·e | chemistry,constants,em,photometry | ε·M_m²·c_n²·I_v³·L_v⁻³·G·e⁻² | ε = k₀ · M_m⁻²·c_n⁻²·I_v⁻³·L_v³·G⁻¹·e² | null | 2 | 4 | 3 | 14 | 13.7 | -6.7 | false | {"permittivity": "1", "molar_mass": "2", "concentration": "2", "lum_intensity": "3", "luminance": "-3", "grav_const": "1", "elem_charge": "-2"} |
7 | concentration,elem_charge,lum_intensity,luminance,molar_mass,permittivity,planck | ε·M_m·c_n·I_v·L_v·h·e | chemistry,constants,em,photometry | ε·M_m⁻¹·c_n⁻¹·I_v⁻²·L_v²·h²·e⁻² | ε = k₀ · M_m·c_n·I_v²·L_v⁻²·h⁻²·e² | null | 2 | 4 | 2 | 11 | 11.1 | -4.1 | false | {"permittivity": "1", "molar_mass": "-1", "concentration": "-1", "lum_intensity": "-2", "luminance": "2", "planck": "2", "elem_charge": "-2"} |
6 | concentration,elem_charge,grav_const,light_speed,molar_mass,permittivity | ε·M_m·c_n·c₀·G·e | chemistry,constants,em | ε·M_m⁻¹·c_n⁻¹·c₀⁶·G⁻²·e⁻² | ε = k₀ · M_m·c_n·c₀⁻⁶·G²·e² | null | 3 | 3 | 6 | 13 | 14.6 | -8.6 | false | {"permittivity": "1", "molar_mass": "-1", "concentration": "-1", "light_speed": "6", "grav_const": "-2", "elem_charge": "-2"} |
6 | avogadro,concentration,elem_charge,light_speed,molar_mass,permittivity | ε·M_m·c_n·c₀·e·N_A | chemistry,constants,em | ε³·M_m³·c_n⁻¹·c₀⁶·e⁻⁶·N_A⁻⁴ | c_n = k₀ · ε³·M_m³·c₀⁶·e⁻⁶·N_A⁻⁴ | null | 3 | 3 | 6 | 23 | 21.6 | -15.6 | false | {"permittivity": "3", "molar_mass": "3", "concentration": "-1", "light_speed": "6", "elem_charge": "-6", "avogadro": "-4"} |
6 | concentration,elem_charge,grav_const,molar_mass,permittivity,planck | ε·M_m·c_n·G·h·e | chemistry,constants,em | ε⁵·M_m·c_n·G²·h⁶·e⁻¹⁰ | M_m = k₀ · ε⁻⁵·c_n⁻¹·G⁻²·h⁻⁶·e¹⁰ | null | 3 | 3 | 10 | 25 | 25 | -19 | false | {"permittivity": "5", "molar_mass": "1", "concentration": "1", "grav_const": "2", "planck": "6", "elem_charge": "-10"} |
6 | avogadro,concentration,elem_charge,molar_mass,permittivity,planck | ε·M_m·c_n·h·e·N_A | chemistry,constants,em | ε³·M_m⁻³·c_n·h⁶·e⁻⁶·N_A⁴ | c_n = k₀ · ε⁻³·M_m³·h⁻⁶·e⁶·N_A⁻⁴ | null | 3 | 3 | 6 | 23 | 21.6 | -15.6 | false | {"permittivity": "3", "molar_mass": "-3", "concentration": "1", "planck": "6", "elem_charge": "-6", "avogadro": "4"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,molar_energy,molar_mass,permittivity | ε·M_m·E_m·R·z·k_B·e | chemistry,constants,em | ε²·M_m⁻¹·E_m³·R⁻⁴·z⁻²·k_B⁴·e⁻⁴ | M_m = k₀ · ε²·E_m³·R⁻⁴·z⁻²·k_B⁴·e⁻⁴ | null | 2 | 3 | 4 | 20 | 17.8 | -10.3 | false | {"permittivity": "2", "molar_mass": "-1", "molar_energy": "3", "gas_constant": "-4", "cat_activity": "-2", "boltzmann": "4", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,illuminance,lum_intensity,molar_energy,molar_mass,permittivity | ε·M_m·E_m·z·I_v·E_v·e | chemistry,constants,em,photometry | ε²·M_m·E_m·z²·I_v²·E_v⁻²·e⁻⁴ | M_m = k₀ · ε⁻²·E_m⁻¹·z⁻²·I_v⁻²·E_v²·e⁴ | null | 1 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"permittivity": "2", "molar_mass": "1", "molar_energy": "1", "cat_activity": "2", "lum_intensity": "2", "illuminance": "-2", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,lum_intensity,luminance,molar_energy,molar_mass,permittivity | ε·M_m·E_m·z·I_v·L_v·e | chemistry,constants,em,photometry | ε²·M_m·E_m·z²·I_v²·L_v⁻²·e⁻⁴ | M_m = k₀ · ε⁻²·E_m⁻¹·z⁻²·I_v⁻²·L_v²·e⁴ | null | 1 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"permittivity": "2", "molar_mass": "1", "molar_energy": "1", "cat_activity": "2", "lum_intensity": "2", "luminance": "-2", "elem_charge": "-4"} |
6 | avogadro,cat_activity,elem_charge,molar_energy,molar_mass,permittivity | ε·M_m·E_m·z·e·N_A | chemistry,constants,em | ε²·M_m⁻¹·E_m³·z⁻²·e⁻⁴·N_A⁻⁴ | M_m = k₀ · ε²·E_m³·z⁻²·e⁻⁴·N_A⁻⁴ | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "2", "molar_mass": "-1", "molar_energy": "3", "cat_activity": "-2", "elem_charge": "-4", "avogadro": "-4"} |
7 | elem_charge,grav_const,illuminance,lum_intensity,molar_energy,molar_mass,permittivity | ε·M_m·E_m·I_v·E_v·G·e | chemistry,constants,em,photometry | ε·M_m⁻²·E_m²·I_v·E_v⁻¹·G⁻¹·e⁻² | ε = k₀ · M_m²·E_m⁻²·I_v⁻¹·E_v·G·e² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"permittivity": "1", "molar_mass": "-2", "molar_energy": "2", "lum_intensity": "1", "illuminance": "-1", "grav_const": "-1", "elem_charge": "-2"} |
7 | elem_charge,grav_const,lum_intensity,luminance,molar_energy,molar_mass,permittivity | ε·M_m·E_m·I_v·L_v·G·e | chemistry,constants,em,photometry | ε·M_m⁻²·E_m²·I_v·L_v⁻¹·G⁻¹·e⁻² | ε = k₀ · M_m²·E_m⁻²·I_v⁻¹·L_v·G·e² | null | 2 | 4 | 2 | 10 | 10.4 | -3.4 | false | {"permittivity": "1", "molar_mass": "-2", "molar_energy": "2", "lum_intensity": "1", "luminance": "-1", "grav_const": "-1", "elem_charge": "-2"} |
5 | elem_charge,molar_energy,molar_mass,permittivity,planck | ε·M_m·E_m·h·e | chemistry,constants,em | ε²·M_m⁻¹·E_m·h²·e⁻⁴ | M_m = k₀ · ε²·E_m·h²·e⁻⁴ | null | 2 | 3 | 4 | 10 | 10.2 | -2.7 | false | {"permittivity": "2", "molar_mass": "-1", "molar_energy": "1", "planck": "2", "elem_charge": "-4"} |
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