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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4 | amount,cat_activity,conductivity,permittivity | ε·σ·n·z | chemistry,em | ε·σ⁻¹·n⁻¹·z | ε = k₀ · σ·n·z⁻¹ | null | 0 | 2 | 1 | 4 | 2.6 | 6.9 | true | {"permittivity": "1", "conductivity": "-1", "amount": "-1", "cat_activity": "1"} |
7 | boltzmann,concentration,conductivity,gas_constant,molar_energy,molar_mass,permittivity | ε·σ·M_m·c_n·E_m·R·k_B | chemistry,constants,em | ε⁶·σ⁻⁶·M_m⁻³·c_n²·E_m³·R²·k_B⁻² | c_n = k₀ · ε⁻³·σ³·M_m³ᐟ²·E_m⁻³ᐟ²·R⁻¹·k_B | null | 1 | 3 | 6 | 24 | 20.6 | -11.6 | false | {"permittivity": "6", "conductivity": "-6", "molar_mass": "-3", "concentration": "2", "molar_energy": "3", "gas_constant": "2", "boltzmann": "-2"} |
6 | cat_activity,concentration,conductivity,molar_energy,molar_mass,permittivity | ε·σ·M_m·c_n·E_m·z | chemistry,em | ε⁴·σ⁻⁴·M_m⁻³·c_n²·E_m³·z⁻² | c_n = k₀ · ε⁻²·σ²·M_m³ᐟ²·E_m⁻³ᐟ²·z | null | 0 | 2 | 4 | 18 | 14.5 | -5 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "-3", "concentration": "2", "molar_energy": "3", "cat_activity": "-2"} |
6 | concentration,conductivity,molar_energy,molar_mass,permittivity,planck | ε·σ·M_m·c_n·E_m·h | chemistry,constants,em | ε⁸·σ⁻⁸·M_m⁻³·c_n²·E_m⁵·h⁻² | c_n = k₀ · ε⁻⁴·σ⁴·M_m³ᐟ²·E_m⁻⁵ᐟ²·h | null | 1 | 3 | 8 | 28 | 24.1 | -15.1 | false | {"permittivity": "8", "conductivity": "-8", "molar_mass": "-3", "concentration": "2", "molar_energy": "5", "planck": "-2"} |
6 | concentration,conductivity,elem_charge,molar_energy,molar_mass,permittivity | ε·σ·M_m·c_n·E_m·e | chemistry,constants,em | ε⁵·σ⁻⁴·M_m⁻²·c_n·E_m³·e⁻² | c_n = k₀ · ε⁻⁵·σ⁴·M_m²·E_m⁻³·e² | null | 1 | 3 | 5 | 17 | 14.9 | -5.9 | false | {"permittivity": "5", "conductivity": "-4", "molar_mass": "-2", "concentration": "1", "molar_energy": "3", "elem_charge": "-2"} |
6 | avogadro,concentration,conductivity,molar_energy,molar_mass,permittivity | ε·σ·M_m·c_n·E_m·N_A | chemistry,constants,em | ε⁶·σ⁻⁶·M_m⁻³·c_n²·E_m³·N_A² | c_n = k₀ · ε⁻³·σ³·M_m³ᐟ²·E_m⁻³ᐟ²·N_A⁻¹ | null | 1 | 3 | 6 | 22 | 18.9 | -9.9 | false | {"permittivity": "6", "conductivity": "-6", "molar_mass": "-3", "concentration": "2", "molar_energy": "3", "avogadro": "2"} |
7 | boltzmann,concentration,conductivity,gas_constant,molar_mass,permittivity,planck | ε·σ·M_m·c_n·R·h·k_B | chemistry,constants,em | ε³·σ⁻³·M_m⁻³·c_n²·R⁵·h³·k_B⁻⁵ | c_n = k₀ · ε⁻³ᐟ²·σ³ᐟ²·M_m³ᐟ²·R⁻⁵ᐟ²·h⁻³ᐟ²·k_B⁵ᐟ² | null | 2 | 3 | 5 | 24 | 21.1 | -13.6 | false | {"permittivity": "3", "conductivity": "-3", "molar_mass": "-3", "concentration": "2", "gas_constant": "5", "planck": "3", "boltzmann": "-5"} |
7 | boltzmann,concentration,conductivity,elem_charge,gas_constant,molar_mass,permittivity | ε·σ·M_m·c_n·R·k_B·e | chemistry,constants,em | ε·σ⁻²·M_m⁻¹·c_n·R²·k_B⁻²·e² | ε = k₀ · σ²·M_m·c_n⁻¹·R⁻²·k_B²·e⁻² | null | 2 | 3 | 2 | 11 | 10.5 | -3 | false | {"permittivity": "1", "conductivity": "-2", "molar_mass": "-1", "concentration": "1", "gas_constant": "2", "boltzmann": "-2", "elem_charge": "2"} |
6 | cat_activity,concentration,conductivity,molar_mass,permittivity,planck | ε·σ·M_m·c_n·z·h | chemistry,constants,em | ε²·σ⁻²·M_m³·c_n⁻²·z⁵·h⁻³ | ε = k₀ · σ·M_m⁻³ᐟ²·c_n·z⁻⁵ᐟ²·h³ᐟ² | null | 1 | 3 | 5 | 17 | 14.9 | -5.9 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "3", "concentration": "-2", "cat_activity": "5", "planck": "-3"} |
7 | concentration,conductivity,illuminance,lum_intensity,molar_mass,permittivity,planck | ε·σ·M_m·c_n·I_v·E_v·h | chemistry,constants,em,photometry | ε²·σ⁻²·M_m⁻²·c_n⁻²·I_v⁻⁵·E_v⁵·h² | ε = k₀ · σ·M_m·c_n·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻¹ | null | 1 | 4 | 5 | 20 | 17.9 | -9.4 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "-2", "concentration": "-2", "lum_intensity": "-5", "illuminance": "5", "planck": "2"} |
7 | concentration,conductivity,elem_charge,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·M_m·c_n·I_v·E_v·e | chemistry,constants,em,photometry | ε·σ⁻²·M_m⁻¹·c_n⁻¹·I_v⁻³·E_v³·e² | ε = k₀ · σ²·M_m·c_n·I_v³·E_v⁻³·e⁻² | null | 1 | 4 | 3 | 13 | 12 | -3.5 | false | {"permittivity": "1", "conductivity": "-2", "molar_mass": "-1", "concentration": "-1", "lum_intensity": "-3", "illuminance": "3", "elem_charge": "2"} |
7 | concentration,conductivity,lum_intensity,luminance,molar_mass,permittivity,planck | ε·σ·M_m·c_n·I_v·L_v·h | chemistry,constants,em,photometry | ε²·σ⁻²·M_m⁻²·c_n⁻²·I_v⁻⁵·L_v⁵·h² | ε = k₀ · σ·M_m·c_n·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻¹ | null | 1 | 4 | 5 | 20 | 17.9 | -9.4 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "-2", "concentration": "-2", "lum_intensity": "-5", "luminance": "5", "planck": "2"} |
7 | concentration,conductivity,elem_charge,lum_intensity,luminance,molar_mass,permittivity | ε·σ·M_m·c_n·I_v·L_v·e | chemistry,constants,em,photometry | ε·σ⁻²·M_m⁻¹·c_n⁻¹·I_v⁻³·L_v³·e² | ε = k₀ · σ²·M_m·c_n·I_v³·L_v⁻³·e⁻² | null | 1 | 4 | 3 | 13 | 12 | -3.5 | false | {"permittivity": "1", "conductivity": "-2", "molar_mass": "-1", "concentration": "-1", "lum_intensity": "-3", "luminance": "3", "elem_charge": "2"} |
6 | concentration,conductivity,light_speed,molar_mass,permittivity,planck | ε·σ·M_m·c_n·c₀·h | chemistry,constants,em | ε⁴·σ⁻⁴·M_m·c_n·c₀⁵·h⁻¹ | M_m = k₀ · ε⁻⁴·σ⁴·c_n⁻¹·c₀⁻⁵·h | null | 2 | 3 | 5 | 16 | 15.2 | -7.7 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "1", "concentration": "1", "light_speed": "5", "planck": "-1"} |
6 | concentration,conductivity,elem_charge,light_speed,molar_mass,permittivity | ε·σ·M_m·c_n·c₀·e | chemistry,constants,em | ε⁵·σ⁻⁴·M_m·c_n·c₀⁶·e⁻² | M_m = k₀ · ε⁻⁵·σ⁴·c_n⁻¹·c₀⁻⁶·e² | null | 2 | 3 | 6 | 19 | 17.8 | -10.3 | false | {"permittivity": "5", "conductivity": "-4", "molar_mass": "1", "concentration": "1", "light_speed": "6", "elem_charge": "-2"} |
5 | concentration,conductivity,grav_const,molar_mass,permittivity | ε·σ·M_m·c_n·G | chemistry,constants,em | ε²·σ⁻²·M_m·c_n·G | M_m = k₀ · ε⁻²·σ²·c_n⁻¹·G⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "1", "concentration": "1", "grav_const": "1"} |
6 | concentration,conductivity,elem_charge,molar_mass,permittivity,planck | ε·σ·M_m·c_n·h·e | chemistry,constants,em | ε·σ⁴·M_m⁻¹·c_n⁻¹·h⁶·e⁻¹⁰ | ε = k₀ · σ⁻⁴·M_m·c_n·h⁻⁶·e¹⁰ | null | 2 | 3 | 10 | 23 | 22.6 | -15.1 | false | {"permittivity": "1", "conductivity": "4", "molar_mass": "-1", "concentration": "-1", "planck": "6", "elem_charge": "-10"} |
6 | avogadro,concentration,conductivity,molar_mass,permittivity,planck | ε·σ·M_m·c_n·h·N_A | chemistry,constants,em | ε³·σ⁻³·M_m⁻³·c_n²·h³·N_A⁵ | c_n = k₀ · ε⁻³ᐟ²·σ³ᐟ²·M_m³ᐟ²·h⁻³ᐟ²·N_A⁻⁵ᐟ² | null | 2 | 3 | 5 | 19 | 17.3 | -9.8 | false | {"permittivity": "3", "conductivity": "-3", "molar_mass": "-3", "concentration": "2", "planck": "3", "avogadro": "5"} |
6 | avogadro,concentration,conductivity,elem_charge,molar_mass,permittivity | ε·σ·M_m·c_n·e·N_A | chemistry,constants,em | ε·σ⁻²·M_m⁻¹·c_n·e²·N_A² | ε = k₀ · σ²·M_m·c_n⁻¹·e⁻²·N_A⁻² | null | 2 | 3 | 2 | 9 | 8.8 | -1.3 | false | {"permittivity": "1", "conductivity": "-2", "molar_mass": "-1", "concentration": "1", "elem_charge": "2", "avogadro": "2"} |
7 | boltzmann,conductivity,gas_constant,grav_const,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·R·G·k_B | chemistry,constants,em | ε²·σ⁻²·M_m⁻⁵·E_m³·R²·G⁻²·k_B⁻² | ε = k₀ · σ·M_m⁵ᐟ²·E_m⁻³ᐟ²·R⁻¹·G·k_B | null | 2 | 3 | 5 | 18 | 16.9 | -9.4 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "-5", "molar_energy": "3", "gas_constant": "2", "grav_const": "-2", "boltzmann": "-2"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·R·k_B·e | chemistry,constants,em | ε⁴·σ⁻²·M_m⁻¹·E_m³·R⁻²·k_B²·e⁻⁴ | M_m = k₀ · ε⁴·σ⁻²·E_m³·R⁻²·k_B²·e⁻⁴ | null | 2 | 3 | 4 | 18 | 16.4 | -8.9 | false | {"permittivity": "4", "conductivity": "-2", "molar_mass": "-1", "molar_energy": "3", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-4"} |
6 | cat_activity,conductivity,elem_charge,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·z·e | chemistry,constants,em | ε⁶·σ⁻⁴·M_m⁻¹·E_m³·z²·e⁻⁴ | M_m = k₀ · ε⁶·σ⁻⁴·E_m³·z²·e⁻⁴ | null | 1 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"permittivity": "6", "conductivity": "-4", "molar_mass": "-1", "molar_energy": "3", "cat_activity": "2", "elem_charge": "-4"} |
6 | conductivity,illuminance,lum_intensity,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·I_v·E_v | chemistry,em,photometry | ε²·σ⁻²·M_m⁻¹·E_m·I_v⁻¹·E_v | M_m = k₀ · ε²·σ⁻²·E_m·I_v⁻¹·E_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "-1", "molar_energy": "1", "lum_intensity": "-1", "illuminance": "1"} |
6 | conductivity,lum_intensity,luminance,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·I_v·L_v | chemistry,em,photometry | ε²·σ⁻²·M_m⁻¹·E_m·I_v⁻¹·L_v | M_m = k₀ · ε²·σ⁻²·E_m·I_v⁻¹·L_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "-1", "molar_energy": "1", "lum_intensity": "-1", "luminance": "1"} |
6 | conductivity,grav_const,molar_energy,molar_mass,permittivity,planck | ε·σ·M_m·E_m·G·h | chemistry,constants,em | ε⁴·σ⁻⁴·M_m⁻⁵·E_m⁵·G⁻²·h⁻² | G = k₀ · ε²·σ⁻²·M_m⁻⁵ᐟ²·E_m⁵ᐟ²·h⁻¹ | null | 2 | 3 | 5 | 22 | 19.4 | -11.9 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "-5", "molar_energy": "5", "grav_const": "-2", "planck": "-2"} |
6 | conductivity,elem_charge,grav_const,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·G·e | chemistry,constants,em | ε³·σ⁻²·M_m⁻³·E_m³·G⁻¹·e⁻² | G = k₀ · ε³·σ⁻²·M_m⁻³·E_m³·e⁻² | null | 2 | 3 | 3 | 14 | 12.8 | -5.3 | false | {"permittivity": "3", "conductivity": "-2", "molar_mass": "-3", "molar_energy": "3", "grav_const": "-1", "elem_charge": "-2"} |
6 | avogadro,conductivity,grav_const,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·G·N_A | chemistry,constants,em | ε²·σ⁻²·M_m⁻⁵·E_m³·G⁻²·N_A² | ε = k₀ · σ·M_m⁵ᐟ²·E_m⁻³ᐟ²·G·N_A⁻¹ | null | 2 | 3 | 5 | 16 | 15.2 | -7.7 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "-5", "molar_energy": "3", "grav_const": "-2", "avogadro": "2"} |
6 | avogadro,conductivity,elem_charge,molar_energy,molar_mass,permittivity | ε·σ·M_m·E_m·e·N_A | chemistry,constants,em | ε⁴·σ⁻²·M_m⁻¹·E_m³·e⁻⁴·N_A⁻² | M_m = k₀ · ε⁴·σ⁻²·E_m³·e⁻⁴·N_A⁻² | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "4", "conductivity": "-2", "molar_mass": "-1", "molar_energy": "3", "elem_charge": "-4", "avogadro": "-2"} |
8 | boltzmann,conductivity,gas_constant,grav_const,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·M_m·R·I_v·E_v·G·k_B | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·M_m²·R⁻²·I_v⁻³·E_v³·G²·k_B² | M_m = k₀ · ε⁻²·σ²·R·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 4 | 22 | 20.1 | -13.1 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,conductivity,gas_constant,illuminance,lum_intensity,molar_mass,permittivity,planck | ε·σ·M_m·R·I_v·E_v·h·k_B | chemistry,constants,em,photometry | ε·σ⁻¹·M_m⁻¹·R·I_v⁻¹·E_v·h·k_B⁻¹ | ε = k₀ · σ·M_m·R⁻¹·I_v·E_v⁻¹·h⁻¹·k_B | null | 2 | 4 | 1 | 8 | 8.8 | -1.8 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "-1", "gas_constant": "1", "lum_intensity": "-1", "illuminance": "1", "planck": "1", "boltzmann": "-1"} |
8 | boltzmann,conductivity,elem_charge,gas_constant,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·M_m·R·I_v·E_v·k_B·e | chemistry,constants,em,photometry | ε²·σ⁻⁴·M_m⁻²·R²·I_v⁻³·E_v³·k_B⁻²·e⁴ | ε = k₀ · σ²·M_m·R⁻¹·I_v³ᐟ²·E_v⁻³ᐟ²·k_B·e⁻² | null | 2 | 4 | 4 | 22 | 20.1 | -13.1 | false | {"permittivity": "2", "conductivity": "-4", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-3", "illuminance": "3", "boltzmann": "-2", "elem_charge": "4"} |
8 | boltzmann,conductivity,gas_constant,grav_const,lum_intensity,luminance,molar_mass,permittivity | ε·σ·M_m·R·I_v·L_v·G·k_B | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·M_m²·R⁻²·I_v⁻³·L_v³·G²·k_B² | M_m = k₀ · ε⁻²·σ²·R·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 4 | 22 | 20.1 | -13.1 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,conductivity,gas_constant,lum_intensity,luminance,molar_mass,permittivity,planck | ε·σ·M_m·R·I_v·L_v·h·k_B | chemistry,constants,em,photometry | ε·σ⁻¹·M_m⁻¹·R·I_v⁻¹·L_v·h·k_B⁻¹ | ε = k₀ · σ·M_m·R⁻¹·I_v·L_v⁻¹·h⁻¹·k_B | null | 2 | 4 | 1 | 8 | 8.8 | -1.8 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "-1", "gas_constant": "1", "lum_intensity": "-1", "luminance": "1", "planck": "1", "boltzmann": "-1"} |
8 | boltzmann,conductivity,elem_charge,gas_constant,lum_intensity,luminance,molar_mass,permittivity | ε·σ·M_m·R·I_v·L_v·k_B·e | chemistry,constants,em,photometry | ε²·σ⁻⁴·M_m⁻²·R²·I_v⁻³·L_v³·k_B⁻²·e⁴ | ε = k₀ · σ²·M_m·R⁻¹·I_v³ᐟ²·L_v⁻³ᐟ²·k_B·e⁻² | null | 2 | 4 | 4 | 22 | 20.1 | -13.1 | false | {"permittivity": "2", "conductivity": "-4", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-3", "luminance": "3", "boltzmann": "-2", "elem_charge": "4"} |
7 | boltzmann,conductivity,gas_constant,grav_const,light_speed,molar_mass,permittivity | ε·σ·M_m·R·c₀·G·k_B | chemistry,constants,em | ε·σ⁻¹·M_m⁻¹·R·c₀³·G⁻¹·k_B⁻¹ | ε = k₀ · σ·M_m·R⁻¹·c₀⁻³·G·k_B | null | 3 | 3 | 3 | 9 | 10.6 | -4.6 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "-1", "gas_constant": "1", "light_speed": "3", "grav_const": "-1", "boltzmann": "-1"} |
7 | boltzmann,conductivity,gas_constant,light_speed,molar_mass,permittivity,planck | ε·σ·M_m·R·c₀·h·k_B | chemistry,constants,em | ε·σ⁻¹·M_m·R⁻¹·c₀²·h⁻¹·k_B | ε = k₀ · σ·M_m⁻¹·R·c₀⁻²·h·k_B⁻¹ | null | 3 | 3 | 2 | 8 | 9.4 | -3.4 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "1", "gas_constant": "-1", "light_speed": "2", "planck": "-1", "boltzmann": "1"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,light_speed,molar_mass,permittivity | ε·σ·M_m·R·c₀·k_B·e | chemistry,constants,em | ε²·σ⁻¹·M_m·R⁻¹·c₀³·k_B·e⁻² | σ = k₀ · ε²·M_m·R⁻¹·c₀³·k_B·e⁻² | null | 3 | 3 | 3 | 11 | 12 | -6 | false | {"permittivity": "2", "conductivity": "-1", "molar_mass": "1", "gas_constant": "-1", "light_speed": "3", "boltzmann": "1", "elem_charge": "-2"} |
7 | boltzmann,conductivity,gas_constant,grav_const,molar_mass,permittivity,planck | ε·σ·M_m·R·G·h·k_B | chemistry,constants,em | ε·σ⁻¹·M_m⁵·R⁻⁵·G²·h⁻³·k_B⁵ | ε = k₀ · σ·M_m⁻⁵·R⁵·G⁻²·h³·k_B⁻⁵ | null | 3 | 3 | 5 | 22 | 20.7 | -14.7 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "5", "gas_constant": "-5", "grav_const": "2", "planck": "-3", "boltzmann": "5"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,molar_mass,permittivity,planck | ε·σ·M_m·R·h·k_B·e | chemistry,constants,em | ε·σ·M_m⁻¹·R·h³·k_B⁻¹·e⁻⁴ | ε = k₀ · σ⁻¹·M_m·R⁻¹·h⁻³·k_B·e⁴ | null | 3 | 3 | 4 | 12 | 13.2 | -7.2 | false | {"permittivity": "1", "conductivity": "1", "molar_mass": "-1", "gas_constant": "1", "planck": "3", "boltzmann": "-1", "elem_charge": "-4"} |
7 | cat_activity,conductivity,grav_const,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·M_m·z·I_v·E_v·G | chemistry,constants,em,photometry | ε⁶·σ⁻⁶·M_m²·z²·I_v⁻³·E_v³·G² | M_m = k₀ · ε⁻³·σ³·z⁻¹·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"permittivity": "6", "conductivity": "-6", "molar_mass": "2", "cat_activity": "2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2"} |
7 | cat_activity,conductivity,grav_const,lum_intensity,luminance,molar_mass,permittivity | ε·σ·M_m·z·I_v·L_v·G | chemistry,constants,em,photometry | ε⁶·σ⁻⁶·M_m²·z²·I_v⁻³·L_v³·G² | M_m = k₀ · ε⁻³·σ³·z⁻¹·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"permittivity": "6", "conductivity": "-6", "molar_mass": "2", "cat_activity": "2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2"} |
6 | cat_activity,conductivity,light_speed,molar_mass,permittivity,planck | ε·σ·M_m·z·c₀·h | chemistry,constants,em | ε²·σ⁻²·M_m·z·c₀²·h⁻¹ | M_m = k₀ · ε⁻²·σ²·z⁻¹·c₀⁻²·h | null | 2 | 3 | 2 | 9 | 8.8 | -1.3 | false | {"permittivity": "2", "conductivity": "-2", "molar_mass": "1", "cat_activity": "1", "light_speed": "2", "planck": "-1"} |
6 | cat_activity,conductivity,elem_charge,light_speed,molar_mass,permittivity | ε·σ·M_m·z·c₀·e | chemistry,constants,em | ε³·σ⁻²·M_m·z·c₀³·e⁻² | M_m = k₀ · ε⁻³·σ²·z⁻¹·c₀⁻³·e² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "conductivity": "-2", "molar_mass": "1", "cat_activity": "1", "light_speed": "3", "elem_charge": "-2"} |
6 | cat_activity,conductivity,grav_const,molar_mass,permittivity,planck | ε·σ·M_m·z·G·h | chemistry,constants,em | ε⁶·σ⁻⁶·M_m⁵·z⁵·G²·h⁻³ | G = k₀ · ε⁻³·σ³·M_m⁻⁵ᐟ²·z⁻⁵ᐟ²·h³ᐟ² | null | 2 | 3 | 6 | 27 | 23.4 | -15.9 | false | {"permittivity": "6", "conductivity": "-6", "molar_mass": "5", "cat_activity": "5", "grav_const": "2", "planck": "-3"} |
6 | cat_activity,conductivity,elem_charge,grav_const,molar_mass,permittivity | ε·σ·M_m·z·G·e | chemistry,constants,em | ε³·σ⁻²·M_m²·z²·G·e⁻² | G = k₀ · ε⁻³·σ²·M_m⁻²·z⁻²·e² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "conductivity": "-2", "molar_mass": "2", "cat_activity": "2", "grav_const": "1", "elem_charge": "-2"} |
7 | avogadro,conductivity,grav_const,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·M_m·I_v·E_v·G·N_A | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·M_m²·I_v⁻³·E_v³·G²·N_A⁻² | M_m = k₀ · ε⁻²·σ²·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹·N_A | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,conductivity,illuminance,lum_intensity,molar_mass,permittivity,planck | ε·σ·M_m·I_v·E_v·h·N_A | chemistry,constants,em,photometry | ε·σ⁻¹·M_m⁻¹·I_v⁻¹·E_v·h·N_A | ε = k₀ · σ·M_m·I_v·E_v⁻¹·h⁻¹·N_A⁻¹ | null | 2 | 4 | 1 | 7 | 7.8 | -0.8 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "-1", "lum_intensity": "-1", "illuminance": "1", "planck": "1", "avogadro": "1"} |
7 | avogadro,conductivity,elem_charge,illuminance,lum_intensity,molar_mass,permittivity | ε·σ·M_m·I_v·E_v·e·N_A | chemistry,constants,em,photometry | ε²·σ⁻⁴·M_m⁻²·I_v⁻³·E_v³·e⁴·N_A² | ε = k₀ · σ²·M_m·I_v³ᐟ²·E_v⁻³ᐟ²·e⁻²·N_A⁻¹ | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "2", "conductivity": "-4", "molar_mass": "-2", "lum_intensity": "-3", "illuminance": "3", "elem_charge": "4", "avogadro": "2"} |
7 | avogadro,conductivity,grav_const,lum_intensity,luminance,molar_mass,permittivity | ε·σ·M_m·I_v·L_v·G·N_A | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·M_m²·I_v⁻³·L_v³·G²·N_A⁻² | M_m = k₀ · ε⁻²·σ²·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹·N_A | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "4", "conductivity": "-4", "molar_mass": "2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,conductivity,lum_intensity,luminance,molar_mass,permittivity,planck | ε·σ·M_m·I_v·L_v·h·N_A | chemistry,constants,em,photometry | ε·σ⁻¹·M_m⁻¹·I_v⁻¹·L_v·h·N_A | ε = k₀ · σ·M_m·I_v·L_v⁻¹·h⁻¹·N_A⁻¹ | null | 2 | 4 | 1 | 7 | 7.8 | -0.8 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "-1", "lum_intensity": "-1", "luminance": "1", "planck": "1", "avogadro": "1"} |
7 | avogadro,conductivity,elem_charge,lum_intensity,luminance,molar_mass,permittivity | ε·σ·M_m·I_v·L_v·e·N_A | chemistry,constants,em,photometry | ε²·σ⁻⁴·M_m⁻²·I_v⁻³·L_v³·e⁴·N_A² | ε = k₀ · σ²·M_m·I_v³ᐟ²·L_v⁻³ᐟ²·e⁻²·N_A⁻¹ | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "2", "conductivity": "-4", "molar_mass": "-2", "lum_intensity": "-3", "luminance": "3", "elem_charge": "4", "avogadro": "2"} |
6 | avogadro,conductivity,grav_const,light_speed,molar_mass,permittivity | ε·σ·M_m·c₀·G·N_A | chemistry,constants,em | ε·σ⁻¹·M_m⁻¹·c₀³·G⁻¹·N_A | ε = k₀ · σ·M_m·c₀⁻³·G·N_A⁻¹ | null | 3 | 3 | 3 | 8 | 9.6 | -3.6 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "-1", "light_speed": "3", "grav_const": "-1", "avogadro": "1"} |
6 | avogadro,conductivity,light_speed,molar_mass,permittivity,planck | ε·σ·M_m·c₀·h·N_A | chemistry,constants,em | ε·σ⁻¹·M_m·c₀²·h⁻¹·N_A⁻¹ | ε = k₀ · σ·M_m⁻¹·c₀⁻²·h·N_A | null | 3 | 3 | 2 | 7 | 8.4 | -2.4 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "1", "light_speed": "2", "planck": "-1", "avogadro": "-1"} |
6 | avogadro,conductivity,elem_charge,light_speed,molar_mass,permittivity | ε·σ·M_m·c₀·e·N_A | chemistry,constants,em | ε²·σ⁻¹·M_m·c₀³·e⁻²·N_A⁻¹ | σ = k₀ · ε²·M_m·c₀³·e⁻²·N_A⁻¹ | null | 3 | 3 | 3 | 10 | 11 | -5 | false | {"permittivity": "2", "conductivity": "-1", "molar_mass": "1", "light_speed": "3", "elem_charge": "-2", "avogadro": "-1"} |
6 | avogadro,conductivity,grav_const,molar_mass,permittivity,planck | ε·σ·M_m·G·h·N_A | chemistry,constants,em | ε·σ⁻¹·M_m⁵·G²·h⁻³·N_A⁻⁵ | ε = k₀ · σ·M_m⁻⁵·G⁻²·h³·N_A⁵ | null | 3 | 3 | 5 | 17 | 16.9 | -10.9 | false | {"permittivity": "1", "conductivity": "-1", "molar_mass": "5", "grav_const": "2", "planck": "-3", "avogadro": "-5"} |
6 | avogadro,conductivity,elem_charge,molar_mass,permittivity,planck | ε·σ·M_m·h·e·N_A | chemistry,constants,em | ε·σ·M_m⁻¹·h³·e⁻⁴·N_A | ε = k₀ · σ⁻¹·M_m·h⁻³·e⁴·N_A⁻¹ | null | 3 | 3 | 4 | 11 | 12.2 | -6.2 | false | {"permittivity": "1", "conductivity": "1", "molar_mass": "-1", "planck": "3", "elem_charge": "-4", "avogadro": "1"} |
7 | boltzmann,concentration,conductivity,gas_constant,grav_const,molar_energy,permittivity | ε·σ·c_n·E_m·R·G·k_B | chemistry,constants,em | ε¹²·σ⁻¹²·c_n⁵·E_m³·R²·G³·k_B⁻² | R = k₀ · ε⁻⁶·σ⁶·c_n⁻⁵ᐟ²·E_m⁻³ᐟ²·G⁻³ᐟ²·k_B | null | 2 | 3 | 12 | 39 | 35.1 | -27.6 | false | {"permittivity": "12", "conductivity": "-12", "concentration": "5", "molar_energy": "3", "gas_constant": "2", "grav_const": "3", "boltzmann": "-2"} |
6 | cat_activity,concentration,conductivity,grav_const,molar_energy,permittivity | ε·σ·c_n·E_m·z·G | chemistry,constants,em | ε¹⁰·σ⁻¹⁰·c_n⁵·E_m³·z⁻²·G³ | z = k₀ · ε⁵·σ⁻⁵·c_n⁵ᐟ²·E_m³ᐟ²·G³ᐟ² | null | 1 | 3 | 10 | 33 | 28.6 | -19.6 | false | {"permittivity": "10", "conductivity": "-10", "concentration": "5", "molar_energy": "3", "cat_activity": "-2", "grav_const": "3"} |
6 | cat_activity,concentration,conductivity,elem_charge,molar_energy,permittivity | ε·σ·c_n·E_m·z·e | chemistry,constants,em | ε⁷·σ⁻⁴·c_n⁻¹·E_m³·z⁴·e⁻⁶ | c_n = k₀ · ε⁷·σ⁻⁴·E_m³·z⁴·e⁻⁶ | null | 1 | 3 | 7 | 25 | 21.5 | -12.5 | false | {"permittivity": "7", "conductivity": "-4", "concentration": "-1", "molar_energy": "3", "cat_activity": "4", "elem_charge": "-6"} |
7 | concentration,conductivity,grav_const,illuminance,lum_intensity,molar_energy,permittivity | ε·σ·c_n·E_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·c_n·E_m·I_v⁻¹·E_v·G | c_n = k₀ · ε⁻⁴·σ⁴·E_m⁻¹·I_v·E_v⁻¹·G⁻¹ | null | 1 | 4 | 4 | 13 | 12.5 | -4 | false | {"permittivity": "4", "conductivity": "-4", "concentration": "1", "molar_energy": "1", "lum_intensity": "-1", "illuminance": "1", "grav_const": "1"} |
7 | concentration,conductivity,illuminance,lum_intensity,molar_energy,permittivity,planck | ε·σ·c_n·E_m·I_v·E_v·h | chemistry,constants,em,photometry | ε²·σ⁻²·c_n²·E_m²·I_v³·E_v⁻³·h⁻² | ε = k₀ · σ·c_n⁻¹·E_m⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²·h | null | 1 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"permittivity": "2", "conductivity": "-2", "concentration": "2", "molar_energy": "2", "lum_intensity": "3", "illuminance": "-3", "planck": "-2"} |
7 | concentration,conductivity,grav_const,lum_intensity,luminance,molar_energy,permittivity | ε·σ·c_n·E_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁴·σ⁻⁴·c_n·E_m·I_v⁻¹·L_v·G | c_n = k₀ · ε⁻⁴·σ⁴·E_m⁻¹·I_v·L_v⁻¹·G⁻¹ | null | 1 | 4 | 4 | 13 | 12.5 | -4 | false | {"permittivity": "4", "conductivity": "-4", "concentration": "1", "molar_energy": "1", "lum_intensity": "-1", "luminance": "1", "grav_const": "1"} |
7 | concentration,conductivity,lum_intensity,luminance,molar_energy,permittivity,planck | ε·σ·c_n·E_m·I_v·L_v·h | chemistry,constants,em,photometry | ε²·σ⁻²·c_n²·E_m²·I_v³·L_v⁻³·h⁻² | ε = k₀ · σ·c_n⁻¹·E_m⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²·h | null | 1 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"permittivity": "2", "conductivity": "-2", "concentration": "2", "molar_energy": "2", "lum_intensity": "3", "luminance": "-3", "planck": "-2"} |
6 | concentration,conductivity,grav_const,light_speed,molar_energy,permittivity | ε·σ·c_n·E_m·c₀·G | chemistry,constants,em | ε²·σ⁻²·c_n·E_m·c₀⁻²·G | c_n = k₀ · ε⁻²·σ²·E_m⁻¹·c₀²·G⁻¹ | null | 2 | 3 | 2 | 9 | 8.8 | -1.3 | false | {"permittivity": "2", "conductivity": "-2", "concentration": "1", "molar_energy": "1", "light_speed": "-2", "grav_const": "1"} |
6 | concentration,conductivity,light_speed,molar_energy,permittivity,planck | ε·σ·c_n·E_m·c₀·h | chemistry,constants,em | ε⁴·σ⁻⁴·c_n·E_m·c₀³·h⁻¹ | c_n = k₀ · ε⁻⁴·σ⁴·E_m⁻¹·c₀⁻³·h | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "4", "conductivity": "-4", "concentration": "1", "molar_energy": "1", "light_speed": "3", "planck": "-1"} |
6 | concentration,conductivity,elem_charge,light_speed,molar_energy,permittivity | ε·σ·c_n·E_m·c₀·e | chemistry,constants,em | ε⁵·σ⁻⁴·c_n·E_m·c₀⁴·e⁻² | c_n = k₀ · ε⁻⁵·σ⁴·E_m⁻¹·c₀⁻⁴·e² | null | 2 | 3 | 5 | 17 | 15.9 | -8.4 | false | {"permittivity": "5", "conductivity": "-4", "concentration": "1", "molar_energy": "1", "light_speed": "4", "elem_charge": "-2"} |
6 | concentration,conductivity,grav_const,molar_energy,permittivity,planck | ε·σ·c_n·E_m·G·h | chemistry,constants,em | ε¹⁴·σ⁻¹⁴·c_n⁵·E_m⁵·G³·h⁻² | h = k₀ · ε⁷·σ⁻⁷·c_n⁵ᐟ²·E_m⁵ᐟ²·G³ᐟ² | null | 2 | 3 | 14 | 43 | 38.6 | -31.1 | false | {"permittivity": "14", "conductivity": "-14", "concentration": "5", "molar_energy": "5", "grav_const": "3", "planck": "-2"} |
6 | concentration,conductivity,elem_charge,grav_const,molar_energy,permittivity | ε·σ·c_n·E_m·G·e | chemistry,constants,em | ε⁹·σ⁻⁸·c_n³·E_m³·G²·e⁻² | G = k₀ · ε⁻⁹ᐟ²·σ⁴·c_n⁻³ᐟ²·E_m⁻³ᐟ²·e | null | 2 | 3 | 9 | 27 | 24.9 | -17.4 | false | {"permittivity": "9", "conductivity": "-8", "concentration": "3", "molar_energy": "3", "grav_const": "2", "elem_charge": "-2"} |
6 | avogadro,concentration,conductivity,grav_const,molar_energy,permittivity | ε·σ·c_n·E_m·G·N_A | chemistry,constants,em | ε¹²·σ⁻¹²·c_n⁵·E_m³·G³·N_A² | N_A = k₀ · ε⁻⁶·σ⁶·c_n⁻⁵ᐟ²·E_m⁻³ᐟ²·G⁻³ᐟ² | null | 2 | 3 | 12 | 37 | 33.4 | -25.9 | false | {"permittivity": "12", "conductivity": "-12", "concentration": "5", "molar_energy": "3", "grav_const": "3", "avogadro": "2"} |
6 | concentration,conductivity,elem_charge,molar_energy,permittivity,planck | ε·σ·c_n·E_m·h·e | chemistry,constants,em | ε·σ⁻⁴·c_n·E_m·h⁻⁴·e⁶ | ε = k₀ · σ⁴·c_n⁻¹·E_m⁻¹·h⁴·e⁻⁶ | null | 2 | 3 | 6 | 17 | 16.4 | -8.9 | false | {"permittivity": "1", "conductivity": "-4", "concentration": "1", "molar_energy": "1", "planck": "-4", "elem_charge": "6"} |
6 | boltzmann,concentration,conductivity,gas_constant,light_speed,permittivity | ε·σ·c_n·R·c₀·k_B | chemistry,constants,em | ε³·σ⁻³·c_n·R·c₀³·k_B⁻¹ | c_n = k₀ · ε⁻³·σ³·R⁻¹·c₀⁻³·k_B | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "conductivity": "-3", "concentration": "1", "gas_constant": "1", "light_speed": "3", "boltzmann": "-1"} |
7 | boltzmann,concentration,conductivity,gas_constant,grav_const,permittivity,planck | ε·σ·c_n·R·G·h·k_B | chemistry,constants,em | ε⁹·σ⁻⁹·c_n⁵·R⁵·G³·h³·k_B⁻⁵ | G = k₀ · ε⁻³·σ³·c_n⁻⁵ᐟ³·R⁻⁵ᐟ³·h⁻¹·k_B⁵ᐟ³ | null | 3 | 3 | 9 | 39 | 34.6 | -28.6 | false | {"permittivity": "9", "conductivity": "-9", "concentration": "5", "gas_constant": "5", "grav_const": "3", "planck": "3", "boltzmann": "-5"} |
7 | boltzmann,concentration,conductivity,elem_charge,gas_constant,grav_const,permittivity | ε·σ·c_n·R·G·k_B·e | chemistry,constants,em | ε³·σ⁻⁴·c_n²·R²·G·k_B⁻²·e² | G = k₀ · ε⁻³·σ⁴·c_n⁻²·R⁻²·k_B²·e⁻² | null | 3 | 3 | 4 | 16 | 16 | -10 | false | {"permittivity": "3", "conductivity": "-4", "concentration": "2", "gas_constant": "2", "grav_const": "1", "boltzmann": "-2", "elem_charge": "2"} |
6 | cat_activity,concentration,conductivity,illuminance,lum_intensity,permittivity | ε·σ·c_n·z·I_v·E_v | chemistry,em,photometry | ε²·σ⁻²·c_n⁻²·z²·I_v⁻³·E_v³ | ε = k₀ · σ·c_n·z⁻¹·I_v³ᐟ²·E_v⁻³ᐟ² | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"permittivity": "2", "conductivity": "-2", "concentration": "-2", "cat_activity": "2", "lum_intensity": "-3", "illuminance": "3"} |
6 | cat_activity,concentration,conductivity,lum_intensity,luminance,permittivity | ε·σ·c_n·z·I_v·L_v | chemistry,em,photometry | ε²·σ⁻²·c_n⁻²·z²·I_v⁻³·L_v³ | ε = k₀ · σ·c_n·z⁻¹·I_v³ᐟ²·L_v⁻³ᐟ² | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"permittivity": "2", "conductivity": "-2", "concentration": "-2", "cat_activity": "2", "lum_intensity": "-3", "luminance": "3"} |
5 | cat_activity,concentration,conductivity,light_speed,permittivity | ε·σ·c_n·z·c₀ | chemistry,constants,em | ε²·σ⁻²·c_n·z⁻¹·c₀³ | c_n = k₀ · ε⁻²·σ²·z·c₀⁻³ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"permittivity": "2", "conductivity": "-2", "concentration": "1", "cat_activity": "-1", "light_speed": "3"} |
6 | cat_activity,concentration,conductivity,grav_const,permittivity,planck | ε·σ·c_n·z·G·h | chemistry,constants,em | ε⁴·σ⁻⁴·c_n⁵·z⁻⁵·G³·h³ | G = k₀ · ε⁻⁴ᐟ³·σ⁴ᐟ³·c_n⁻⁵ᐟ³·z⁵ᐟ³·h⁻¹ | null | 2 | 3 | 5 | 24 | 20.8 | -13.3 | false | {"permittivity": "4", "conductivity": "-4", "concentration": "5", "cat_activity": "-5", "grav_const": "3", "planck": "3"} |
6 | cat_activity,concentration,conductivity,elem_charge,grav_const,permittivity | ε·σ·c_n·z·G·e | chemistry,constants,em | ε·σ⁻²·c_n²·z⁻²·G·e² | ε = k₀ · σ²·c_n⁻²·z²·G⁻¹·e⁻² | null | 2 | 3 | 2 | 10 | 9.5 | -2 | false | {"permittivity": "1", "conductivity": "-2", "concentration": "2", "cat_activity": "-2", "grav_const": "1", "elem_charge": "2"} |
6 | cat_activity,concentration,conductivity,elem_charge,permittivity,planck | ε·σ·c_n·z·h·e | chemistry,constants,em | ε·σ²·c_n⁻¹·z·h³·e⁻⁶ | ε = k₀ · σ⁻²·c_n·z⁻¹·h⁻³·e⁶ | null | 2 | 3 | 6 | 14 | 14.3 | -6.8 | false | {"permittivity": "1", "conductivity": "2", "concentration": "-1", "cat_activity": "1", "planck": "3", "elem_charge": "-6"} |
5 | avogadro,concentration,conductivity,light_speed,permittivity | ε·σ·c_n·c₀·N_A | chemistry,constants,em | ε³·σ⁻³·c_n·c₀³·N_A | c_n = k₀ · ε⁻³·σ³·c₀⁻³·N_A⁻¹ | null | 2 | 3 | 3 | 11 | 10.4 | -2.9 | false | {"permittivity": "3", "conductivity": "-3", "concentration": "1", "light_speed": "3", "avogadro": "1"} |
6 | avogadro,concentration,conductivity,grav_const,permittivity,planck | ε·σ·c_n·G·h·N_A | chemistry,constants,em | ε⁹·σ⁻⁹·c_n⁵·G³·h³·N_A⁵ | G = k₀ · ε⁻³·σ³·c_n⁻⁵ᐟ³·h⁻¹·N_A⁻⁵ᐟ³ | null | 3 | 3 | 9 | 34 | 30.8 | -24.8 | false | {"permittivity": "9", "conductivity": "-9", "concentration": "5", "grav_const": "3", "planck": "3", "avogadro": "5"} |
6 | avogadro,concentration,conductivity,elem_charge,grav_const,permittivity | ε·σ·c_n·G·e·N_A | chemistry,constants,em | ε³·σ⁻⁴·c_n²·G·e²·N_A² | G = k₀ · ε⁻³·σ⁴·c_n⁻²·e⁻²·N_A⁻² | null | 3 | 3 | 4 | 14 | 14.3 | -8.3 | false | {"permittivity": "3", "conductivity": "-4", "concentration": "2", "grav_const": "1", "elem_charge": "2", "avogadro": "2"} |
8 | boltzmann,conductivity,gas_constant,grav_const,illuminance,lum_intensity,molar_energy,permittivity | ε·σ·E_m·R·I_v·E_v·G·k_B | chemistry,constants,em,photometry | ε⁸·σ⁻⁸·E_m²·R⁻²·I_v⁻⁵·E_v⁵·G²·k_B² | E_m = k₀ · ε⁻⁴·σ⁴·R·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 8 | 34 | 30.5 | -23.5 | false | {"permittivity": "8", "conductivity": "-8", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,conductivity,gas_constant,grav_const,lum_intensity,luminance,molar_energy,permittivity | ε·σ·E_m·R·I_v·L_v·G·k_B | chemistry,constants,em,photometry | ε⁸·σ⁻⁸·E_m²·R⁻²·I_v⁻⁵·L_v⁵·G²·k_B² | E_m = k₀ · ε⁻⁴·σ⁴·R·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 8 | 34 | 30.5 | -23.5 | false | {"permittivity": "8", "conductivity": "-8", "molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,conductivity,gas_constant,grav_const,light_speed,molar_energy,permittivity | ε·σ·E_m·R·c₀·G·k_B | chemistry,constants,em | ε·σ⁻¹·E_m⁻¹·R·c₀⁵·G⁻¹·k_B⁻¹ | ε = k₀ · σ·E_m·R⁻¹·c₀⁻⁵·G·k_B | null | 3 | 3 | 5 | 11 | 13 | -7 | false | {"permittivity": "1", "conductivity": "-1", "molar_energy": "-1", "gas_constant": "1", "light_speed": "5", "grav_const": "-1", "boltzmann": "-1"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,light_speed,molar_energy,permittivity | ε·σ·E_m·R·c₀·k_B·e | chemistry,constants,em | ε²·σ⁻¹·E_m·R⁻¹·c₀·k_B·e⁻² | σ = k₀ · ε²·E_m·R⁻¹·c₀·k_B·e⁻² | null | 3 | 3 | 2 | 9 | 10.1 | -4.1 | false | {"permittivity": "2", "conductivity": "-1", "molar_energy": "1", "gas_constant": "-1", "light_speed": "1", "boltzmann": "1", "elem_charge": "-2"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,grav_const,molar_energy,permittivity | ε·σ·E_m·R·G·k_B·e | chemistry,constants,em | ε⁹·σ⁻⁴·E_m⁶·R⁻⁶·G·k_B⁶·e⁻¹⁰ | G = k₀ · ε⁻⁹·σ⁴·E_m⁻⁶·R⁶·k_B⁻⁶·e¹⁰ | null | 3 | 3 | 10 | 42 | 37.2 | -31.2 | false | {"permittivity": "9", "conductivity": "-4", "molar_energy": "6", "gas_constant": "-6", "grav_const": "1", "boltzmann": "6", "elem_charge": "-10"} |
6 | boltzmann,conductivity,gas_constant,molar_energy,permittivity,planck | ε·σ·E_m·R·h·k_B | chemistry,constants,em | ε·σ⁻¹·E_m·R⁻¹·h⁻¹·k_B | ε = k₀ · σ·E_m⁻¹·R·h·k_B⁻¹ | null | 2 | 3 | 1 | 6 | 6.2 | 1.3 | false | {"permittivity": "1", "conductivity": "-1", "molar_energy": "1", "gas_constant": "-1", "planck": "-1", "boltzmann": "1"} |
7 | cat_activity,conductivity,grav_const,illuminance,lum_intensity,molar_energy,permittivity | ε·σ·E_m·z·I_v·E_v·G | chemistry,constants,em,photometry | ε¹⁰·σ⁻¹⁰·E_m²·z²·I_v⁻⁵·E_v⁵·G² | E_m = k₀ · ε⁻⁵·σ⁵·z⁻¹·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 10 | 36 | 31.6 | -23.1 | false | {"permittivity": "10", "conductivity": "-10", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2"} |
7 | cat_activity,conductivity,elem_charge,illuminance,lum_intensity,molar_energy,permittivity | ε·σ·E_m·z·I_v·E_v·e | chemistry,constants,em,photometry | ε⁴·σ⁻²·E_m²·z²·I_v·E_v⁻¹·e⁻⁴ | I_v = k₀ · ε⁻⁴·σ²·E_m⁻²·z⁻²·E_v·e⁴ | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "4", "conductivity": "-2", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-4"} |
7 | cat_activity,conductivity,grav_const,lum_intensity,luminance,molar_energy,permittivity | ε·σ·E_m·z·I_v·L_v·G | chemistry,constants,em,photometry | ε¹⁰·σ⁻¹⁰·E_m²·z²·I_v⁻⁵·L_v⁵·G² | E_m = k₀ · ε⁻⁵·σ⁵·z⁻¹·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 10 | 36 | 31.6 | -23.1 | false | {"permittivity": "10", "conductivity": "-10", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2"} |
7 | cat_activity,conductivity,elem_charge,lum_intensity,luminance,molar_energy,permittivity | ε·σ·E_m·z·I_v·L_v·e | chemistry,constants,em,photometry | ε⁴·σ⁻²·E_m²·z²·I_v·L_v⁻¹·e⁻⁴ | I_v = k₀ · ε⁻⁴·σ²·E_m⁻²·z⁻²·L_v·e⁴ | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "4", "conductivity": "-2", "molar_energy": "2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-4"} |
6 | cat_activity,conductivity,elem_charge,light_speed,molar_energy,permittivity | ε·σ·E_m·z·c₀·e | chemistry,constants,em | ε³·σ⁻²·E_m·z·c₀·e⁻² | E_m = k₀ · ε⁻³·σ²·z⁻¹·c₀⁻¹·e² | null | 2 | 3 | 3 | 10 | 10 | -2.5 | false | {"permittivity": "3", "conductivity": "-2", "molar_energy": "1", "cat_activity": "1", "light_speed": "1", "elem_charge": "-2"} |
6 | cat_activity,conductivity,elem_charge,grav_const,molar_energy,permittivity | ε·σ·E_m·z·G·e | chemistry,constants,em | ε¹⁵·σ⁻¹⁰·E_m⁶·z⁶·G·e⁻¹⁰ | G = k₀ · ε⁻¹⁵·σ¹⁰·E_m⁻⁶·z⁻⁶·e¹⁰ | null | 2 | 3 | 15 | 48 | 42.6 | -35.1 | false | {"permittivity": "15", "conductivity": "-10", "molar_energy": "6", "cat_activity": "6", "grav_const": "1", "elem_charge": "-10"} |
5 | cat_activity,conductivity,molar_energy,permittivity,planck | ε·σ·E_m·z·h | chemistry,constants,em | ε²·σ⁻²·E_m·z·h⁻¹ | E_m = k₀ · ε⁻²·σ²·z⁻¹·h | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"permittivity": "2", "conductivity": "-2", "molar_energy": "1", "cat_activity": "1", "planck": "-1"} |
7 | avogadro,conductivity,grav_const,illuminance,lum_intensity,molar_energy,permittivity | ε·σ·E_m·I_v·E_v·G·N_A | chemistry,constants,em,photometry | ε⁸·σ⁻⁸·E_m²·I_v⁻⁵·E_v⁵·G²·N_A⁻² | E_m = k₀ · ε⁻⁴·σ⁴·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·N_A | null | 2 | 4 | 8 | 32 | 28.8 | -21.8 | false | {"permittivity": "8", "conductivity": "-8", "molar_energy": "2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,conductivity,grav_const,lum_intensity,luminance,molar_energy,permittivity | ε·σ·E_m·I_v·L_v·G·N_A | chemistry,constants,em,photometry | ε⁸·σ⁻⁸·E_m²·I_v⁻⁵·L_v⁵·G²·N_A⁻² | E_m = k₀ · ε⁻⁴·σ⁴·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·N_A | null | 2 | 4 | 8 | 32 | 28.8 | -21.8 | false | {"permittivity": "8", "conductivity": "-8", "molar_energy": "2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,conductivity,grav_const,light_speed,molar_energy,permittivity | ε·σ·E_m·c₀·G·N_A | chemistry,constants,em | ε·σ⁻¹·E_m⁻¹·c₀⁵·G⁻¹·N_A | ε = k₀ · σ·E_m·c₀⁻⁵·G·N_A⁻¹ | null | 3 | 3 | 5 | 10 | 12 | -6 | false | {"permittivity": "1", "conductivity": "-1", "molar_energy": "-1", "light_speed": "5", "grav_const": "-1", "avogadro": "1"} |
6 | avogadro,conductivity,elem_charge,light_speed,molar_energy,permittivity | ε·σ·E_m·c₀·e·N_A | chemistry,constants,em | ε²·σ⁻¹·E_m·c₀·e⁻²·N_A⁻¹ | σ = k₀ · ε²·E_m·c₀·e⁻²·N_A⁻¹ | null | 3 | 3 | 2 | 8 | 9.1 | -3.1 | false | {"permittivity": "2", "conductivity": "-1", "molar_energy": "1", "light_speed": "1", "elem_charge": "-2", "avogadro": "-1"} |
6 | avogadro,conductivity,elem_charge,grav_const,molar_energy,permittivity | ε·σ·E_m·G·e·N_A | chemistry,constants,em | ε⁹·σ⁻⁴·E_m⁶·G·e⁻¹⁰·N_A⁻⁶ | G = k₀ · ε⁻⁹·σ⁴·E_m⁻⁶·e¹⁰·N_A⁶ | null | 3 | 3 | 10 | 36 | 32.7 | -26.7 | false | {"permittivity": "9", "conductivity": "-4", "molar_energy": "6", "grav_const": "1", "elem_charge": "-10", "avogadro": "-6"} |
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