size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5 | avogadro,concentration,light_speed,molar_mass,planck | M_m·c_n·c₀·h·N_A | chemistry,constants | M_m³·c_n⁻¹·c₀³·h⁻³·N_A⁻⁴ | c_n = k₀ · M_m³·c₀³·h⁻³·N_A⁻⁴ | null | 3 | 2 | 4 | 14 | 13.4 | -6.9 | false | {"molar_mass": "3", "concentration": "-1", "light_speed": "3", "planck": "-3", "avogadro": "-4"} |
5 | avogadro,concentration,grav_const,molar_mass,planck | M_m·c_n·G·h·N_A | chemistry,constants | M_m⁹·c_n⁻¹·G³·h⁻⁶·N_A⁻¹⁰ | c_n = k₀ · M_m⁹·G³·h⁻⁶·N_A⁻¹⁰ | null | 3 | 2 | 10 | 29 | 26.9 | -20.4 | false | {"molar_mass": "9", "concentration": "-1", "grav_const": "3", "planck": "-6", "avogadro": "-10"} |
7 | boltzmann,cat_activity,gas_constant,illuminance,lum_intensity,molar_energy,molar_mass | M_m·E_m·R·z·I_v·E_v·k_B | chemistry,constants,photometry | M_m·E_m⁻¹·R²·z²·I_v·E_v⁻¹·k_B⁻² | M_m = k₀ · E_m·R⁻²·z⁻²·I_v⁻¹·E_v·k_B² | null | 1 | 3 | 2 | 10 | 8.8 | 0.2 | false | {"molar_mass": "1", "molar_energy": "-1", "gas_constant": "2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "boltzmann": "-2"} |
7 | boltzmann,cat_activity,gas_constant,lum_intensity,luminance,molar_energy,molar_mass | M_m·E_m·R·z·I_v·L_v·k_B | chemistry,constants,photometry | M_m·E_m⁻¹·R²·z²·I_v·L_v⁻¹·k_B⁻² | M_m = k₀ · E_m·R⁻²·z⁻²·I_v⁻¹·L_v·k_B² | null | 1 | 3 | 2 | 10 | 8.8 | 0.2 | false | {"molar_mass": "1", "molar_energy": "-1", "gas_constant": "2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "boltzmann": "-2"} |
7 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_energy,molar_mass | M_m·E_m·R·I_v·E_v·G·k_B | chemistry,constants,photometry | M_m⁴·E_m⁻²·R⁻²·I_v⁻¹·E_v·G²·k_B² | I_v = k₀ · M_m⁴·E_m⁻²·R⁻²·E_v·G²·k_B² | null | 2 | 3 | 4 | 14 | 13.6 | -6.1 | false | {"molar_mass": "4", "molar_energy": "-2", "gas_constant": "-2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,illuminance,lum_intensity,molar_energy,molar_mass,planck | M_m·E_m·R·I_v·E_v·h·k_B | chemistry,constants,photometry | M_m·E_m·R⁻²·I_v·E_v⁻¹·h⁻²·k_B² | M_m = k₀ · E_m⁻¹·R²·I_v⁻¹·E_v·h²·k_B⁻² | null | 2 | 3 | 2 | 10 | 9.8 | -2.3 | false | {"molar_mass": "1", "molar_energy": "1", "gas_constant": "-2", "lum_intensity": "1", "illuminance": "-1", "planck": "-2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_energy,molar_mass | M_m·E_m·R·I_v·L_v·G·k_B | chemistry,constants,photometry | M_m⁴·E_m⁻²·R⁻²·I_v⁻¹·L_v·G²·k_B² | I_v = k₀ · M_m⁴·E_m⁻²·R⁻²·L_v·G²·k_B² | null | 2 | 3 | 4 | 14 | 13.6 | -6.1 | false | {"molar_mass": "4", "molar_energy": "-2", "gas_constant": "-2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,lum_intensity,luminance,molar_energy,molar_mass,planck | M_m·E_m·R·I_v·L_v·h·k_B | chemistry,constants,photometry | M_m·E_m·R⁻²·I_v·L_v⁻¹·h⁻²·k_B² | M_m = k₀ · E_m⁻¹·R²·I_v⁻¹·L_v·h²·k_B⁻² | null | 2 | 3 | 2 | 10 | 9.8 | -2.3 | false | {"molar_mass": "1", "molar_energy": "1", "gas_constant": "-2", "lum_intensity": "1", "luminance": "-1", "planck": "-2", "boltzmann": "2"} |
6 | boltzmann,gas_constant,grav_const,molar_energy,molar_mass,planck | M_m·E_m·R·G·h·k_B | chemistry,constants | M_m⁵·E_m⁻¹·R⁻⁴·G²·h⁻²·k_B⁴ | E_m = k₀ · M_m⁵·R⁻⁴·G²·h⁻²·k_B⁴ | null | 3 | 2 | 5 | 18 | 17 | -10.5 | false | {"molar_mass": "5", "molar_energy": "-1", "gas_constant": "-4", "grav_const": "2", "planck": "-2", "boltzmann": "4"} |
6 | avogadro,cat_activity,illuminance,lum_intensity,molar_energy,molar_mass | M_m·E_m·z·I_v·E_v·N_A | chemistry,constants,photometry | M_m·E_m⁻¹·z²·I_v·E_v⁻¹·N_A² | M_m = k₀ · E_m·z⁻²·I_v⁻¹·E_v·N_A⁻² | null | 1 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"molar_mass": "1", "molar_energy": "-1", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1", "avogadro": "2"} |
6 | avogadro,cat_activity,lum_intensity,luminance,molar_energy,molar_mass | M_m·E_m·z·I_v·L_v·N_A | chemistry,constants,photometry | M_m·E_m⁻¹·z²·I_v·L_v⁻¹·N_A² | M_m = k₀ · E_m·z⁻²·I_v⁻¹·L_v·N_A⁻² | null | 1 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"molar_mass": "1", "molar_energy": "-1", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1", "avogadro": "2"} |
4 | cat_activity,grav_const,molar_energy,molar_mass | M_m·E_m·z·G | chemistry,constants | M_m⁵·E_m⁻³·z²·G² | z = k₀ · M_m⁻⁵ᐟ²·E_m³ᐟ²·G⁻¹ | null | 1 | 2 | 5 | 12 | 10.2 | -0.7 | false | {"molar_mass": "5", "molar_energy": "-3", "cat_activity": "2", "grav_const": "2"} |
6 | grav_const,illuminance,lum_intensity,molar_energy,molar_mass,planck | M_m·E_m·I_v·E_v·G·h | chemistry,constants,photometry | M_m³·E_m⁻³·I_v⁻²·E_v²·G²·h² | I_v = k₀ · M_m³ᐟ²·E_m⁻³ᐟ²·E_v·G·h | null | 2 | 3 | 3 | 14 | 12.8 | -5.3 | false | {"molar_mass": "3", "molar_energy": "-3", "lum_intensity": "-2", "illuminance": "2", "grav_const": "2", "planck": "2"} |
6 | avogadro,grav_const,illuminance,lum_intensity,molar_energy,molar_mass | M_m·E_m·I_v·E_v·G·N_A | chemistry,constants,photometry | M_m⁴·E_m⁻²·I_v⁻¹·E_v·G²·N_A⁻² | I_v = k₀ · M_m⁴·E_m⁻²·E_v·G²·N_A⁻² | null | 2 | 3 | 4 | 12 | 11.9 | -4.4 | false | {"molar_mass": "4", "molar_energy": "-2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,illuminance,lum_intensity,molar_energy,molar_mass,planck | M_m·E_m·I_v·E_v·h·N_A | chemistry,constants,photometry | M_m·E_m·I_v·E_v⁻¹·h⁻²·N_A⁻² | M_m = k₀ · E_m⁻¹·I_v⁻¹·E_v·h²·N_A² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"molar_mass": "1", "molar_energy": "1", "lum_intensity": "1", "illuminance": "-1", "planck": "-2", "avogadro": "-2"} |
6 | grav_const,lum_intensity,luminance,molar_energy,molar_mass,planck | M_m·E_m·I_v·L_v·G·h | chemistry,constants,photometry | M_m³·E_m⁻³·I_v⁻²·L_v²·G²·h² | I_v = k₀ · M_m³ᐟ²·E_m⁻³ᐟ²·L_v·G·h | null | 2 | 3 | 3 | 14 | 12.8 | -5.3 | false | {"molar_mass": "3", "molar_energy": "-3", "lum_intensity": "-2", "luminance": "2", "grav_const": "2", "planck": "2"} |
6 | avogadro,grav_const,lum_intensity,luminance,molar_energy,molar_mass | M_m·E_m·I_v·L_v·G·N_A | chemistry,constants,photometry | M_m⁴·E_m⁻²·I_v⁻¹·L_v·G²·N_A⁻² | I_v = k₀ · M_m⁴·E_m⁻²·L_v·G²·N_A⁻² | null | 2 | 3 | 4 | 12 | 11.9 | -4.4 | false | {"molar_mass": "4", "molar_energy": "-2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,lum_intensity,luminance,molar_energy,molar_mass,planck | M_m·E_m·I_v·L_v·h·N_A | chemistry,constants,photometry | M_m·E_m·I_v·L_v⁻¹·h⁻²·N_A⁻² | M_m = k₀ · E_m⁻¹·I_v⁻¹·L_v·h²·N_A² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"molar_mass": "1", "molar_energy": "1", "lum_intensity": "1", "luminance": "-1", "planck": "-2", "avogadro": "-2"} |
3 | light_speed,molar_energy,molar_mass | M_m·E_m·c₀ | chemistry,constants | M_m·E_m⁻¹·c₀² | M_m = k₀ · E_m·c₀⁻² | null | 1 | 2 | 2 | 4 | 2.8 | 6.7 | true | {"molar_mass": "1", "molar_energy": "-1", "light_speed": "2"} |
5 | avogadro,grav_const,molar_energy,molar_mass,planck | M_m·E_m·G·h·N_A | chemistry,constants | M_m⁵·E_m⁻¹·G²·h⁻²·N_A⁻⁴ | E_m = k₀ · M_m⁵·G²·h⁻²·N_A⁻⁴ | null | 3 | 2 | 5 | 14 | 13.9 | -7.4 | false | {"molar_mass": "5", "molar_energy": "-1", "grav_const": "2", "planck": "-2", "avogadro": "-4"} |
7 | boltzmann,cat_activity,gas_constant,grav_const,illuminance,lum_intensity,molar_mass | M_m·R·z·I_v·E_v·G·k_B | chemistry,constants,photometry | M_m²·R⁻⁶·z⁻⁴·I_v⁻³·E_v³·G²·k_B⁶ | M_m = k₀ · R³·z²·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹·k_B⁻³ | null | 2 | 3 | 6 | 26 | 23 | -15.5 | false | {"molar_mass": "2", "gas_constant": "-6", "cat_activity": "-4", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2", "boltzmann": "6"} |
7 | boltzmann,cat_activity,gas_constant,grav_const,lum_intensity,luminance,molar_mass | M_m·R·z·I_v·L_v·G·k_B | chemistry,constants,photometry | M_m²·R⁻⁶·z⁻⁴·I_v⁻³·L_v³·G²·k_B⁶ | M_m = k₀ · R³·z²·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹·k_B⁻³ | null | 2 | 3 | 6 | 26 | 23 | -15.5 | false | {"molar_mass": "2", "gas_constant": "-6", "cat_activity": "-4", "lum_intensity": "-3", "luminance": "3", "grav_const": "2", "boltzmann": "6"} |
6 | boltzmann,cat_activity,gas_constant,light_speed,molar_mass,planck | M_m·R·z·c₀·h·k_B | chemistry,constants | M_m·R⁻²·z⁻¹·c₀²·h⁻¹·k_B² | M_m = k₀ · R²·z·c₀⁻²·h·k_B⁻² | null | 3 | 2 | 2 | 9 | 9.2 | -2.7 | false | {"molar_mass": "1", "gas_constant": "-2", "cat_activity": "-1", "light_speed": "2", "planck": "-1", "boltzmann": "2"} |
6 | boltzmann,cat_activity,gas_constant,grav_const,molar_mass,planck | M_m·R·z·G·h·k_B | chemistry,constants | M_m⁵·R⁻⁶·z⁻¹·G²·h⁻³·k_B⁶ | z = k₀ · M_m⁵·R⁻⁶·G²·h⁻³·k_B⁶ | null | 3 | 2 | 6 | 23 | 21 | -14.5 | false | {"molar_mass": "5", "gas_constant": "-6", "cat_activity": "-1", "grav_const": "2", "planck": "-3", "boltzmann": "6"} |
7 | boltzmann,gas_constant,grav_const,illuminance,light_speed,lum_intensity,molar_mass | M_m·R·I_v·E_v·c₀·G·k_B | chemistry,constants,photometry | M_m²·R⁻²·I_v⁻¹·E_v·c₀⁻⁴·G²·k_B² | I_v = k₀ · M_m²·R⁻²·E_v·c₀⁻⁴·G²·k_B² | null | 3 | 3 | 4 | 14 | 14.6 | -8.6 | false | {"molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-1", "illuminance": "1", "light_speed": "-4", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,illuminance,light_speed,lum_intensity,molar_mass,planck | M_m·R·I_v·E_v·c₀·h·k_B | chemistry,constants,photometry | M_m²·R⁻²·I_v·E_v⁻¹·c₀²·h⁻²·k_B² | I_v = k₀ · M_m⁻²·R²·E_v·c₀⁻²·h²·k_B⁻² | null | 3 | 3 | 2 | 12 | 12.2 | -6.2 | false | {"molar_mass": "2", "gas_constant": "-2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "2", "planck": "-2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_mass,planck | M_m·R·I_v·E_v·G·h·k_B | chemistry,constants,photometry | M_m⁶·R⁻⁶·I_v·E_v⁻¹·G²·h⁻⁴·k_B⁶ | I_v = k₀ · M_m⁻⁶·R⁶·E_v·G⁻²·h⁴·k_B⁻⁶ | null | 3 | 3 | 6 | 26 | 24 | -18 | false | {"molar_mass": "6", "gas_constant": "-6", "lum_intensity": "1", "illuminance": "-1", "grav_const": "2", "planck": "-4", "boltzmann": "6"} |
7 | boltzmann,gas_constant,grav_const,light_speed,lum_intensity,luminance,molar_mass | M_m·R·I_v·L_v·c₀·G·k_B | chemistry,constants,photometry | M_m²·R⁻²·I_v⁻¹·L_v·c₀⁻⁴·G²·k_B² | I_v = k₀ · M_m²·R⁻²·L_v·c₀⁻⁴·G²·k_B² | null | 3 | 3 | 4 | 14 | 14.6 | -8.6 | false | {"molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-1", "luminance": "1", "light_speed": "-4", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,light_speed,lum_intensity,luminance,molar_mass,planck | M_m·R·I_v·L_v·c₀·h·k_B | chemistry,constants,photometry | M_m²·R⁻²·I_v·L_v⁻¹·c₀²·h⁻²·k_B² | I_v = k₀ · M_m⁻²·R²·L_v·c₀⁻²·h²·k_B⁻² | null | 3 | 3 | 2 | 12 | 12.2 | -6.2 | false | {"molar_mass": "2", "gas_constant": "-2", "lum_intensity": "1", "luminance": "-1", "light_speed": "2", "planck": "-2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_mass,planck | M_m·R·I_v·L_v·G·h·k_B | chemistry,constants,photometry | M_m⁶·R⁻⁶·I_v·L_v⁻¹·G²·h⁻⁴·k_B⁶ | I_v = k₀ · M_m⁻⁶·R⁶·L_v·G⁻²·h⁴·k_B⁻⁶ | null | 3 | 3 | 6 | 26 | 24 | -18 | false | {"molar_mass": "6", "gas_constant": "-6", "lum_intensity": "1", "luminance": "-1", "grav_const": "2", "planck": "-4", "boltzmann": "6"} |
6 | boltzmann,gas_constant,grav_const,light_speed,molar_mass,planck | M_m·R·c₀·G·h·k_B | chemistry,constants | M_m²·R⁻²·c₀⁻¹·G·h⁻¹·k_B² | c₀ = k₀ · M_m²·R⁻²·G·h⁻¹·k_B² | null | 4 | 2 | 2 | 9 | 10.2 | -5.2 | false | {"molar_mass": "2", "gas_constant": "-2", "light_speed": "-1", "grav_const": "1", "planck": "-1", "boltzmann": "2"} |
6 | avogadro,cat_activity,grav_const,illuminance,lum_intensity,molar_mass | M_m·z·I_v·E_v·G·N_A | chemistry,constants,photometry | M_m²·z⁻⁴·I_v⁻³·E_v³·G²·N_A⁻⁶ | M_m = k₀ · z²·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹·N_A³ | null | 2 | 3 | 6 | 20 | 18.5 | -11 | false | {"molar_mass": "2", "cat_activity": "-4", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2", "avogadro": "-6"} |
5 | cat_activity,illuminance,lum_intensity,molar_mass,planck | M_m·z·I_v·E_v·h | chemistry,constants,photometry | M_m·z·I_v·E_v⁻¹·h⁻¹ | M_m = k₀ · z⁻¹·I_v⁻¹·E_v·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"molar_mass": "1", "cat_activity": "1", "lum_intensity": "1", "illuminance": "-1", "planck": "-1"} |
6 | avogadro,cat_activity,grav_const,lum_intensity,luminance,molar_mass | M_m·z·I_v·L_v·G·N_A | chemistry,constants,photometry | M_m²·z⁻⁴·I_v⁻³·L_v³·G²·N_A⁻⁶ | M_m = k₀ · z²·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹·N_A³ | null | 2 | 3 | 6 | 20 | 18.5 | -11 | false | {"molar_mass": "2", "cat_activity": "-4", "lum_intensity": "-3", "luminance": "3", "grav_const": "2", "avogadro": "-6"} |
5 | cat_activity,lum_intensity,luminance,molar_mass,planck | M_m·z·I_v·L_v·h | chemistry,constants,photometry | M_m·z·I_v·L_v⁻¹·h⁻¹ | M_m = k₀ · z⁻¹·I_v⁻¹·L_v·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"molar_mass": "1", "cat_activity": "1", "lum_intensity": "1", "luminance": "-1", "planck": "-1"} |
4 | cat_activity,grav_const,light_speed,molar_mass | M_m·z·c₀·G | chemistry,constants | M_m·z·c₀⁻³·G | M_m = k₀ · z⁻¹·c₀³·G⁻¹ | null | 2 | 2 | 3 | 6 | 6 | 2 | false | {"molar_mass": "1", "cat_activity": "1", "light_speed": "-3", "grav_const": "1"} |
5 | avogadro,cat_activity,light_speed,molar_mass,planck | M_m·z·c₀·h·N_A | chemistry,constants | M_m·z⁻¹·c₀²·h⁻¹·N_A⁻² | M_m = k₀ · z·c₀⁻²·h·N_A² | null | 3 | 2 | 2 | 7 | 7.5 | -1 | false | {"molar_mass": "1", "cat_activity": "-1", "light_speed": "2", "planck": "-1", "avogadro": "-2"} |
5 | avogadro,cat_activity,grav_const,molar_mass,planck | M_m·z·G·h·N_A | chemistry,constants | M_m⁵·z⁻¹·G²·h⁻³·N_A⁻⁶ | z = k₀ · M_m⁵·G²·h⁻³·N_A⁻⁶ | null | 3 | 2 | 6 | 17 | 16.5 | -10 | false | {"molar_mass": "5", "cat_activity": "-1", "grav_const": "2", "planck": "-3", "avogadro": "-6"} |
6 | avogadro,grav_const,illuminance,light_speed,lum_intensity,molar_mass | M_m·I_v·E_v·c₀·G·N_A | chemistry,constants,photometry | M_m²·I_v⁻¹·E_v·c₀⁻⁴·G²·N_A⁻² | I_v = k₀ · M_m²·E_v·c₀⁻⁴·G²·N_A⁻² | null | 3 | 3 | 4 | 12 | 12.9 | -6.9 | false | {"molar_mass": "2", "lum_intensity": "-1", "illuminance": "1", "light_speed": "-4", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,illuminance,light_speed,lum_intensity,molar_mass,planck | M_m·I_v·E_v·c₀·h·N_A | chemistry,constants,photometry | M_m²·I_v·E_v⁻¹·c₀²·h⁻²·N_A⁻² | I_v = k₀ · M_m⁻²·E_v·c₀⁻²·h²·N_A² | null | 3 | 3 | 2 | 10 | 10.5 | -4.5 | false | {"molar_mass": "2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "2", "planck": "-2", "avogadro": "-2"} |
6 | avogadro,grav_const,illuminance,lum_intensity,molar_mass,planck | M_m·I_v·E_v·G·h·N_A | chemistry,constants,photometry | M_m⁶·I_v·E_v⁻¹·G²·h⁻⁴·N_A⁻⁶ | I_v = k₀ · M_m⁻⁶·E_v·G⁻²·h⁴·N_A⁶ | null | 3 | 3 | 6 | 20 | 19.5 | -13.5 | false | {"molar_mass": "6", "lum_intensity": "1", "illuminance": "-1", "grav_const": "2", "planck": "-4", "avogadro": "-6"} |
6 | avogadro,grav_const,light_speed,lum_intensity,luminance,molar_mass | M_m·I_v·L_v·c₀·G·N_A | chemistry,constants,photometry | M_m²·I_v⁻¹·L_v·c₀⁻⁴·G²·N_A⁻² | I_v = k₀ · M_m²·L_v·c₀⁻⁴·G²·N_A⁻² | null | 3 | 3 | 4 | 12 | 12.9 | -6.9 | false | {"molar_mass": "2", "lum_intensity": "-1", "luminance": "1", "light_speed": "-4", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,light_speed,lum_intensity,luminance,molar_mass,planck | M_m·I_v·L_v·c₀·h·N_A | chemistry,constants,photometry | M_m²·I_v·L_v⁻¹·c₀²·h⁻²·N_A⁻² | I_v = k₀ · M_m⁻²·L_v·c₀⁻²·h²·N_A² | null | 3 | 3 | 2 | 10 | 10.5 | -4.5 | false | {"molar_mass": "2", "lum_intensity": "1", "luminance": "-1", "light_speed": "2", "planck": "-2", "avogadro": "-2"} |
6 | avogadro,grav_const,lum_intensity,luminance,molar_mass,planck | M_m·I_v·L_v·G·h·N_A | chemistry,constants,photometry | M_m⁶·I_v·L_v⁻¹·G²·h⁻⁴·N_A⁻⁶ | I_v = k₀ · M_m⁻⁶·L_v·G⁻²·h⁴·N_A⁶ | null | 3 | 3 | 6 | 20 | 19.5 | -13.5 | false | {"molar_mass": "6", "lum_intensity": "1", "luminance": "-1", "grav_const": "2", "planck": "-4", "avogadro": "-6"} |
5 | avogadro,grav_const,light_speed,molar_mass,planck | M_m·c₀·G·h·N_A | chemistry,constants | M_m²·c₀⁻¹·G·h⁻¹·N_A⁻² | c₀ = k₀ · M_m²·G·h⁻¹·N_A⁻² | null | 4 | 2 | 2 | 7 | 8.5 | -3.5 | false | {"molar_mass": "2", "light_speed": "-1", "grav_const": "1", "planck": "-1", "avogadro": "-2"} |
6 | boltzmann,cat_activity,concentration,gas_constant,grav_const,molar_energy | c_n·E_m·R·z·G·k_B | chemistry,constants | c_n⁵·E_m³·R⁻¹⁰·z⁻¹²·G³·k_B¹⁰ | E_m = k₀ · c_n⁻⁵ᐟ³·R¹⁰ᐟ³·z⁴·G⁻¹·k_B⁻¹⁰ᐟ³ | null | 2 | 2 | 12 | 43 | 37 | -29 | false | {"concentration": "5", "molar_energy": "3", "gas_constant": "-10", "cat_activity": "-12", "grav_const": "3", "boltzmann": "10"} |
6 | boltzmann,concentration,gas_constant,grav_const,light_speed,molar_energy | c_n·E_m·R·c₀·G·k_B | chemistry,constants | c_n·E_m³·R⁻²·c₀⁻¹²·G³·k_B² | c_n = k₀ · E_m⁻³·R²·c₀¹²·G⁻³·k_B⁻² | null | 3 | 2 | 12 | 23 | 24 | -17.5 | false | {"concentration": "1", "molar_energy": "3", "gas_constant": "-2", "light_speed": "-12", "grav_const": "3", "boltzmann": "2"} |
6 | boltzmann,concentration,gas_constant,light_speed,molar_energy,planck | c_n·E_m·R·c₀·h·k_B | chemistry,constants | c_n·E_m⁻³·R⁴·c₀³·h³·k_B⁻⁴ | c_n = k₀ · E_m³·R⁻⁴·c₀⁻³·h⁻³·k_B⁴ | null | 3 | 2 | 4 | 18 | 16.5 | -10 | false | {"concentration": "1", "molar_energy": "-3", "gas_constant": "4", "light_speed": "3", "planck": "3", "boltzmann": "-4"} |
6 | boltzmann,concentration,gas_constant,grav_const,molar_energy,planck | c_n·E_m·R·G·h·k_B | chemistry,constants | c_n⁵·E_m⁻⁹·R¹⁴·G³·h¹²·k_B⁻¹⁴ | G = k₀ · c_n⁻⁵ᐟ³·E_m³·R⁻¹⁴ᐟ³·h⁻⁴·k_B¹⁴ᐟ³ | null | 3 | 2 | 14 | 57 | 48.8 | -42.3 | false | {"concentration": "5", "molar_energy": "-9", "gas_constant": "14", "grav_const": "3", "planck": "12", "boltzmann": "-14"} |
6 | cat_activity,concentration,grav_const,illuminance,lum_intensity,molar_energy | c_n·E_m·z·I_v·E_v·G | chemistry,constants,photometry | c_n⁵·E_m·z⁻⁴·I_v⁵·E_v⁻⁵·G | E_m = k₀ · c_n⁻⁵·z⁴·I_v⁻⁵·E_v⁵·G⁻¹ | null | 1 | 3 | 5 | 21 | 17.7 | -8.7 | false | {"concentration": "5", "molar_energy": "1", "cat_activity": "-4", "lum_intensity": "5", "illuminance": "-5", "grav_const": "1"} |
6 | cat_activity,concentration,illuminance,lum_intensity,molar_energy,planck | c_n·E_m·z·I_v·E_v·h | chemistry,constants,photometry | c_n²·E_m·z⁻¹·I_v³·E_v⁻³·h⁻¹ | E_m = k₀ · c_n⁻²·z·I_v⁻³·E_v³·h | null | 1 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"concentration": "2", "molar_energy": "1", "cat_activity": "-1", "lum_intensity": "3", "illuminance": "-3", "planck": "-1"} |
6 | cat_activity,concentration,grav_const,lum_intensity,luminance,molar_energy | c_n·E_m·z·I_v·L_v·G | chemistry,constants,photometry | c_n⁵·E_m·z⁻⁴·I_v⁵·L_v⁻⁵·G | E_m = k₀ · c_n⁻⁵·z⁴·I_v⁻⁵·L_v⁵·G⁻¹ | null | 1 | 3 | 5 | 21 | 17.7 | -8.7 | false | {"concentration": "5", "molar_energy": "1", "cat_activity": "-4", "lum_intensity": "5", "luminance": "-5", "grav_const": "1"} |
6 | cat_activity,concentration,lum_intensity,luminance,molar_energy,planck | c_n·E_m·z·I_v·L_v·h | chemistry,constants,photometry | c_n²·E_m·z⁻¹·I_v³·L_v⁻³·h⁻¹ | E_m = k₀ · c_n⁻²·z·I_v⁻³·L_v³·h | null | 1 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"concentration": "2", "molar_energy": "1", "cat_activity": "-1", "lum_intensity": "3", "luminance": "-3", "planck": "-1"} |
5 | cat_activity,concentration,light_speed,molar_energy,planck | c_n·E_m·z·c₀·h | chemistry,constants | c_n·E_m⁻¹·z⁻²·c₀³·h | c_n = k₀ · E_m·z²·c₀⁻³·h⁻¹ | null | 2 | 2 | 3 | 8 | 7.7 | 0.3 | false | {"concentration": "1", "molar_energy": "-1", "cat_activity": "-2", "light_speed": "3", "planck": "1"} |
5 | cat_activity,concentration,grav_const,molar_energy,planck | c_n·E_m·z·G·h | chemistry,constants | c_n⁵·E_m⁻²·z⁻⁷·G³·h⁵ | E_m = k₀ · c_n⁵ᐟ²·z⁻⁷ᐟ²·G³ᐟ²·h⁵ᐟ² | null | 2 | 2 | 7 | 22 | 19.5 | -11.5 | false | {"concentration": "5", "molar_energy": "-2", "cat_activity": "-7", "grav_const": "3", "planck": "5"} |
5 | avogadro,cat_activity,concentration,grav_const,molar_energy | c_n·E_m·z·G·N_A | chemistry,constants | c_n⁵·E_m³·z⁻¹²·G³·N_A⁻¹⁰ | E_m = k₀ · c_n⁻⁵ᐟ³·z⁴·G⁻¹·N_A¹⁰ᐟ³ | null | 2 | 2 | 12 | 33 | 29.7 | -21.7 | false | {"concentration": "5", "molar_energy": "3", "cat_activity": "-12", "grav_const": "3", "avogadro": "-10"} |
6 | concentration,grav_const,illuminance,light_speed,lum_intensity,molar_energy | c_n·E_m·I_v·E_v·c₀·G | chemistry,constants,photometry | c_n·E_m·I_v·E_v⁻¹·c₀⁻⁴·G | c_n = k₀ · E_m⁻¹·I_v⁻¹·E_v·c₀⁴·G⁻¹ | null | 2 | 3 | 4 | 9 | 9.8 | -2.3 | false | {"concentration": "1", "molar_energy": "1", "lum_intensity": "1", "illuminance": "-1", "light_speed": "-4", "grav_const": "1"} |
6 | concentration,illuminance,light_speed,lum_intensity,molar_energy,planck | c_n·E_m·I_v·E_v·c₀·h | chemistry,constants,photometry | c_n·E_m·I_v²·E_v⁻²·c₀⁻¹·h⁻¹ | c_n = k₀ · E_m⁻¹·I_v⁻²·E_v²·c₀·h | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"concentration": "1", "molar_energy": "1", "lum_intensity": "2", "illuminance": "-2", "light_speed": "-1", "planck": "-1"} |
6 | concentration,grav_const,illuminance,lum_intensity,molar_energy,planck | c_n·E_m·I_v·E_v·G·h | chemistry,constants,photometry | c_n³·E_m³·I_v⁷·E_v⁻⁷·G⁻¹·h⁻⁴ | G = k₀ · c_n³·E_m³·I_v⁷·E_v⁻⁷·h⁻⁴ | null | 2 | 3 | 7 | 25 | 22.5 | -15 | false | {"concentration": "3", "molar_energy": "3", "lum_intensity": "7", "illuminance": "-7", "grav_const": "-1", "planck": "-4"} |
6 | concentration,grav_const,light_speed,lum_intensity,luminance,molar_energy | c_n·E_m·I_v·L_v·c₀·G | chemistry,constants,photometry | c_n·E_m·I_v·L_v⁻¹·c₀⁻⁴·G | c_n = k₀ · E_m⁻¹·I_v⁻¹·L_v·c₀⁴·G⁻¹ | null | 2 | 3 | 4 | 9 | 9.8 | -2.3 | false | {"concentration": "1", "molar_energy": "1", "lum_intensity": "1", "luminance": "-1", "light_speed": "-4", "grav_const": "1"} |
6 | concentration,light_speed,lum_intensity,luminance,molar_energy,planck | c_n·E_m·I_v·L_v·c₀·h | chemistry,constants,photometry | c_n·E_m·I_v²·L_v⁻²·c₀⁻¹·h⁻¹ | c_n = k₀ · E_m⁻¹·I_v⁻²·L_v²·c₀·h | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"concentration": "1", "molar_energy": "1", "lum_intensity": "2", "luminance": "-2", "light_speed": "-1", "planck": "-1"} |
6 | concentration,grav_const,lum_intensity,luminance,molar_energy,planck | c_n·E_m·I_v·L_v·G·h | chemistry,constants,photometry | c_n³·E_m³·I_v⁷·L_v⁻⁷·G⁻¹·h⁻⁴ | G = k₀ · c_n³·E_m³·I_v⁷·L_v⁻⁷·h⁻⁴ | null | 2 | 3 | 7 | 25 | 22.5 | -15 | false | {"concentration": "3", "molar_energy": "3", "lum_intensity": "7", "luminance": "-7", "grav_const": "-1", "planck": "-4"} |
5 | concentration,grav_const,light_speed,molar_energy,planck | c_n·E_m·c₀·G·h | chemistry,constants | c_n·E_m·c₀⁻⁷·G²·h | c_n = k₀ · E_m⁻¹·c₀⁷·G⁻²·h⁻¹ | null | 3 | 2 | 7 | 12 | 13.5 | -7 | false | {"concentration": "1", "molar_energy": "1", "light_speed": "-7", "grav_const": "2", "planck": "1"} |
5 | avogadro,concentration,grav_const,light_speed,molar_energy | c_n·E_m·c₀·G·N_A | chemistry,constants | c_n·E_m³·c₀⁻¹²·G³·N_A⁻² | c_n = k₀ · E_m⁻³·c₀¹²·G⁻³·N_A² | null | 3 | 2 | 12 | 21 | 22.3 | -15.8 | false | {"concentration": "1", "molar_energy": "3", "light_speed": "-12", "grav_const": "3", "avogadro": "-2"} |
5 | avogadro,concentration,light_speed,molar_energy,planck | c_n·E_m·c₀·h·N_A | chemistry,constants | c_n·E_m⁻³·c₀³·h³·N_A⁴ | c_n = k₀ · E_m³·c₀⁻³·h⁻³·N_A⁻⁴ | null | 3 | 2 | 4 | 14 | 13.4 | -6.9 | false | {"concentration": "1", "molar_energy": "-3", "light_speed": "3", "planck": "3", "avogadro": "4"} |
5 | avogadro,concentration,grav_const,molar_energy,planck | c_n·E_m·G·h·N_A | chemistry,constants | c_n⁵·E_m⁻⁹·G³·h¹²·N_A¹⁴ | G = k₀ · c_n⁻⁵ᐟ³·E_m³·h⁻⁴·N_A⁻¹⁴ᐟ³ | null | 3 | 2 | 14 | 43 | 38.7 | -32.2 | false | {"concentration": "5", "molar_energy": "-9", "grav_const": "3", "planck": "12", "avogadro": "14"} |
5 | boltzmann,cat_activity,concentration,gas_constant,light_speed | c_n·R·z·c₀·k_B | chemistry,constants | c_n·R⁻²·z⁻³·c₀³·k_B² | c_n = k₀ · R²·z³·c₀⁻³·k_B⁻² | null | 2 | 2 | 3 | 11 | 9.8 | -1.8 | false | {"concentration": "1", "gas_constant": "-2", "cat_activity": "-3", "light_speed": "3", "boltzmann": "2"} |
6 | boltzmann,cat_activity,concentration,gas_constant,grav_const,planck | c_n·R·z·G·h·k_B | chemistry,constants | c_n⁵·R⁻⁴·z⁻⁹·G³·h³·k_B⁴ | G = k₀ · c_n⁻⁵ᐟ³·R⁴ᐟ³·z³·h⁻¹·k_B⁻⁴ᐟ³ | null | 3 | 2 | 9 | 28 | 26 | -19.5 | false | {"concentration": "5", "gas_constant": "-4", "cat_activity": "-9", "grav_const": "3", "planck": "3", "boltzmann": "4"} |
5 | boltzmann,concentration,gas_constant,illuminance,lum_intensity | c_n·R·I_v·E_v·k_B | chemistry,constants,photometry | c_n²·R²·I_v³·E_v⁻³·k_B⁻² | c_n = k₀ · R⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²·k_B | null | 1 | 3 | 3 | 12 | 10.1 | -1.1 | false | {"concentration": "2", "gas_constant": "2", "lum_intensity": "3", "illuminance": "-3", "boltzmann": "-2"} |
5 | boltzmann,concentration,gas_constant,lum_intensity,luminance | c_n·R·I_v·L_v·k_B | chemistry,constants,photometry | c_n²·R²·I_v³·L_v⁻³·k_B⁻² | c_n = k₀ · R⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²·k_B | null | 1 | 3 | 3 | 12 | 10.1 | -1.1 | false | {"concentration": "2", "gas_constant": "2", "lum_intensity": "3", "luminance": "-3", "boltzmann": "-2"} |
6 | boltzmann,concentration,gas_constant,grav_const,light_speed,planck | c_n·R·c₀·G·h·k_B | chemistry,constants | c_n²·R²·c₀⁻⁹·G³·h³·k_B⁻² | c_n = k₀ · R⁻¹·c₀⁹ᐟ²·G⁻³ᐟ²·h⁻³ᐟ²·k_B | null | 4 | 2 | 9 | 21 | 22.1 | -17.1 | false | {"concentration": "2", "gas_constant": "2", "light_speed": "-9", "grav_const": "3", "planck": "3", "boltzmann": "-2"} |
5 | cat_activity,concentration,illuminance,light_speed,lum_intensity | c_n·z·I_v·E_v·c₀ | chemistry,constants,photometry | c_n·z⁻¹·I_v·E_v⁻¹·c₀ | c_n = k₀ · z·I_v⁻¹·E_v·c₀⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"concentration": "1", "cat_activity": "-1", "lum_intensity": "1", "illuminance": "-1", "light_speed": "1"} |
6 | cat_activity,concentration,grav_const,illuminance,lum_intensity,planck | c_n·z·I_v·E_v·G·h | chemistry,constants,photometry | c_n³·z⁻³·I_v²·E_v⁻²·G·h | G = k₀ · c_n⁻³·z³·I_v⁻²·E_v²·h⁻¹ | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"concentration": "3", "cat_activity": "-3", "lum_intensity": "2", "illuminance": "-2", "grav_const": "1", "planck": "1"} |
5 | cat_activity,concentration,light_speed,lum_intensity,luminance | c_n·z·I_v·L_v·c₀ | chemistry,constants,photometry | c_n·z⁻¹·I_v·L_v⁻¹·c₀ | c_n = k₀ · z·I_v⁻¹·L_v·c₀⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"concentration": "1", "cat_activity": "-1", "lum_intensity": "1", "luminance": "-1", "light_speed": "1"} |
6 | cat_activity,concentration,grav_const,lum_intensity,luminance,planck | c_n·z·I_v·L_v·G·h | chemistry,constants,photometry | c_n³·z⁻³·I_v²·L_v⁻²·G·h | G = k₀ · c_n⁻³·z³·I_v⁻²·L_v²·h⁻¹ | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"concentration": "3", "cat_activity": "-3", "lum_intensity": "2", "luminance": "-2", "grav_const": "1", "planck": "1"} |
5 | cat_activity,concentration,grav_const,light_speed,planck | c_n·z·c₀·G·h | chemistry,constants | c_n·z⁻¹·c₀⁻²·G·h | c_n = k₀ · z·c₀²·G⁻¹·h⁻¹ | null | 3 | 2 | 2 | 6 | 6.8 | -0.3 | false | {"concentration": "1", "cat_activity": "-1", "light_speed": "-2", "grav_const": "1", "planck": "1"} |
4 | avogadro,cat_activity,concentration,light_speed | c_n·z·c₀·N_A | chemistry,constants | c_n·z⁻³·c₀³·N_A⁻² | c_n = k₀ · z³·c₀⁻³·N_A² | null | 2 | 2 | 3 | 9 | 8.1 | -0.1 | false | {"concentration": "1", "cat_activity": "-3", "light_speed": "3", "avogadro": "-2"} |
5 | avogadro,cat_activity,concentration,grav_const,planck | c_n·z·G·h·N_A | chemistry,constants | c_n⁵·z⁻⁹·G³·h³·N_A⁻⁴ | G = k₀ · c_n⁻⁵ᐟ³·z³·h⁻¹·N_A⁴ᐟ³ | null | 3 | 2 | 9 | 24 | 22.9 | -16.4 | false | {"concentration": "5", "cat_activity": "-9", "grav_const": "3", "planck": "3", "avogadro": "-4"} |
4 | avogadro,concentration,illuminance,lum_intensity | c_n·I_v·E_v·N_A | chemistry,constants,photometry | c_n²·I_v³·E_v⁻³·N_A² | c_n = k₀ · I_v⁻³ᐟ²·E_v³ᐟ²·N_A⁻¹ | null | 1 | 3 | 3 | 10 | 8.4 | 0.6 | false | {"concentration": "2", "lum_intensity": "3", "illuminance": "-3", "avogadro": "2"} |
4 | avogadro,concentration,lum_intensity,luminance | c_n·I_v·L_v·N_A | chemistry,constants,photometry | c_n²·I_v³·L_v⁻³·N_A² | c_n = k₀ · I_v⁻³ᐟ²·L_v³ᐟ²·N_A⁻¹ | null | 1 | 3 | 3 | 10 | 8.4 | 0.6 | false | {"concentration": "2", "lum_intensity": "3", "luminance": "-3", "avogadro": "2"} |
5 | avogadro,concentration,grav_const,light_speed,planck | c_n·c₀·G·h·N_A | chemistry,constants | c_n²·c₀⁻⁹·G³·h³·N_A² | c_n = k₀ · c₀⁹ᐟ²·G⁻³ᐟ²·h⁻³ᐟ²·N_A⁻¹ | null | 4 | 2 | 9 | 19 | 20.4 | -15.4 | false | {"concentration": "2", "light_speed": "-9", "grav_const": "3", "planck": "3", "avogadro": "2"} |
7 | boltzmann,cat_activity,gas_constant,grav_const,illuminance,lum_intensity,molar_energy | E_m·R·z·I_v·E_v·G·k_B | chemistry,constants,photometry | E_m²·R⁻¹⁰·z⁻⁸·I_v⁻⁵·E_v⁵·G²·k_B¹⁰ | E_m = k₀ · R⁵·z⁴·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·k_B⁻⁵ | null | 2 | 3 | 10 | 42 | 36.2 | -28.7 | false | {"molar_energy": "2", "gas_constant": "-10", "cat_activity": "-8", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "boltzmann": "10"} |
7 | boltzmann,cat_activity,gas_constant,grav_const,lum_intensity,luminance,molar_energy | E_m·R·z·I_v·L_v·G·k_B | chemistry,constants,photometry | E_m²·R⁻¹⁰·z⁻⁸·I_v⁻⁵·L_v⁵·G²·k_B¹⁰ | E_m = k₀ · R⁵·z⁴·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·k_B⁻⁵ | null | 2 | 3 | 10 | 42 | 36.2 | -28.7 | false | {"molar_energy": "2", "gas_constant": "-10", "cat_activity": "-8", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "boltzmann": "10"} |
5 | boltzmann,cat_activity,gas_constant,molar_energy,planck | E_m·R·z·h·k_B | chemistry,constants | E_m·R⁻²·z⁻¹·h⁻¹·k_B² | E_m = k₀ · R²·z·h·k_B⁻² | null | 2 | 2 | 2 | 7 | 6.5 | 1.5 | false | {"molar_energy": "1", "gas_constant": "-2", "cat_activity": "-1", "planck": "-1", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,illuminance,light_speed,lum_intensity,molar_energy | E_m·R·I_v·E_v·c₀·G·k_B | chemistry,constants,photometry | E_m²·R⁻²·I_v⁻¹·E_v·c₀⁻⁸·G²·k_B² | I_v = k₀ · E_m²·R⁻²·E_v·c₀⁻⁸·G²·k_B² | null | 3 | 3 | 8 | 18 | 19.4 | -13.4 | false | {"molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-1", "illuminance": "1", "light_speed": "-8", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,illuminance,light_speed,lum_intensity,molar_energy,planck | E_m·R·I_v·E_v·c₀·h·k_B | chemistry,constants,photometry | E_m²·R⁻²·I_v·E_v⁻¹·c₀⁻²·h⁻²·k_B² | I_v = k₀ · E_m⁻²·R²·E_v·c₀²·h²·k_B⁻² | null | 3 | 3 | 2 | 12 | 12.2 | -6.2 | false | {"molar_energy": "2", "gas_constant": "-2", "lum_intensity": "1", "illuminance": "-1", "light_speed": "-2", "planck": "-2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_energy,planck | E_m·R·I_v·E_v·G·h·k_B | chemistry,constants,photometry | E_m⁶·R⁻⁶·I_v⁵·E_v⁻⁵·G⁻²·h⁻⁸·k_B⁶ | G = k₀ · E_m³·R⁻³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻⁴·k_B³ | null | 3 | 3 | 8 | 38 | 33.4 | -27.4 | false | {"molar_energy": "6", "gas_constant": "-6", "lum_intensity": "5", "illuminance": "-5", "grav_const": "-2", "planck": "-8", "boltzmann": "6"} |
7 | boltzmann,gas_constant,grav_const,light_speed,lum_intensity,luminance,molar_energy | E_m·R·I_v·L_v·c₀·G·k_B | chemistry,constants,photometry | E_m²·R⁻²·I_v⁻¹·L_v·c₀⁻⁸·G²·k_B² | I_v = k₀ · E_m²·R⁻²·L_v·c₀⁻⁸·G²·k_B² | null | 3 | 3 | 8 | 18 | 19.4 | -13.4 | false | {"molar_energy": "2", "gas_constant": "-2", "lum_intensity": "-1", "luminance": "1", "light_speed": "-8", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,light_speed,lum_intensity,luminance,molar_energy,planck | E_m·R·I_v·L_v·c₀·h·k_B | chemistry,constants,photometry | E_m²·R⁻²·I_v·L_v⁻¹·c₀⁻²·h⁻²·k_B² | I_v = k₀ · E_m⁻²·R²·L_v·c₀²·h²·k_B⁻² | null | 3 | 3 | 2 | 12 | 12.2 | -6.2 | false | {"molar_energy": "2", "gas_constant": "-2", "lum_intensity": "1", "luminance": "-1", "light_speed": "-2", "planck": "-2", "boltzmann": "2"} |
7 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_energy,planck | E_m·R·I_v·L_v·G·h·k_B | chemistry,constants,photometry | E_m⁶·R⁻⁶·I_v⁵·L_v⁻⁵·G⁻²·h⁻⁸·k_B⁶ | G = k₀ · E_m³·R⁻³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻⁴·k_B³ | null | 3 | 3 | 8 | 38 | 33.4 | -27.4 | false | {"molar_energy": "6", "gas_constant": "-6", "lum_intensity": "5", "luminance": "-5", "grav_const": "-2", "planck": "-8", "boltzmann": "6"} |
6 | boltzmann,gas_constant,grav_const,light_speed,molar_energy,planck | E_m·R·c₀·G·h·k_B | chemistry,constants | E_m²·R⁻²·c₀⁻⁵·G·h⁻¹·k_B² | G = k₀ · E_m⁻²·R²·c₀⁵·h·k_B⁻² | null | 4 | 2 | 5 | 13 | 14.5 | -9.5 | false | {"molar_energy": "2", "gas_constant": "-2", "light_speed": "-5", "grav_const": "1", "planck": "-1", "boltzmann": "2"} |
6 | cat_activity,illuminance,light_speed,lum_intensity,molar_energy,planck | E_m·z·I_v·E_v·c₀·h | chemistry,constants,photometry | E_m·z·I_v·E_v⁻¹·c₀⁻²·h⁻¹ | E_m = k₀ · z⁻¹·I_v⁻¹·E_v·c₀²·h | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"molar_energy": "1", "cat_activity": "1", "lum_intensity": "1", "illuminance": "-1", "light_speed": "-2", "planck": "-1"} |
6 | cat_activity,grav_const,illuminance,lum_intensity,molar_energy,planck | E_m·z·I_v·E_v·G·h | chemistry,constants,photometry | E_m³·z³·I_v⁵·E_v⁻⁵·G⁻²·h⁻⁵ | G = k₀ · E_m³ᐟ²·z³ᐟ²·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻⁵ᐟ² | null | 2 | 3 | 5 | 23 | 20.1 | -12.6 | false | {"molar_energy": "3", "cat_activity": "3", "lum_intensity": "5", "illuminance": "-5", "grav_const": "-2", "planck": "-5"} |
6 | avogadro,cat_activity,grav_const,illuminance,lum_intensity,molar_energy | E_m·z·I_v·E_v·G·N_A | chemistry,constants,photometry | E_m²·z⁻⁸·I_v⁻⁵·E_v⁵·G²·N_A⁻¹⁰ | E_m = k₀ · z⁴·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·N_A⁵ | null | 2 | 3 | 10 | 32 | 28.9 | -21.4 | false | {"molar_energy": "2", "cat_activity": "-8", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "avogadro": "-10"} |
6 | cat_activity,light_speed,lum_intensity,luminance,molar_energy,planck | E_m·z·I_v·L_v·c₀·h | chemistry,constants,photometry | E_m·z·I_v·L_v⁻¹·c₀⁻²·h⁻¹ | E_m = k₀ · z⁻¹·I_v⁻¹·L_v·c₀²·h | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"molar_energy": "1", "cat_activity": "1", "lum_intensity": "1", "luminance": "-1", "light_speed": "-2", "planck": "-1"} |
6 | cat_activity,grav_const,lum_intensity,luminance,molar_energy,planck | E_m·z·I_v·L_v·G·h | chemistry,constants,photometry | E_m³·z³·I_v⁵·L_v⁻⁵·G⁻²·h⁻⁵ | G = k₀ · E_m³ᐟ²·z³ᐟ²·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻⁵ᐟ² | null | 2 | 3 | 5 | 23 | 20.1 | -12.6 | false | {"molar_energy": "3", "cat_activity": "3", "lum_intensity": "5", "luminance": "-5", "grav_const": "-2", "planck": "-5"} |
6 | avogadro,cat_activity,grav_const,lum_intensity,luminance,molar_energy | E_m·z·I_v·L_v·G·N_A | chemistry,constants,photometry | E_m²·z⁻⁸·I_v⁻⁵·L_v⁵·G²·N_A⁻¹⁰ | E_m = k₀ · z⁴·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·N_A⁵ | null | 2 | 3 | 10 | 32 | 28.9 | -21.4 | false | {"molar_energy": "2", "cat_activity": "-8", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "avogadro": "-10"} |
4 | cat_activity,grav_const,light_speed,molar_energy | E_m·z·c₀·G | chemistry,constants | E_m·z·c₀⁻⁵·G | E_m = k₀ · z⁻¹·c₀⁵·G⁻¹ | null | 2 | 2 | 5 | 8 | 8.4 | -0.4 | false | {"molar_energy": "1", "cat_activity": "1", "light_speed": "-5", "grav_const": "1"} |
4 | avogadro,cat_activity,molar_energy,planck | E_m·z·h·N_A | chemistry,constants | E_m·z⁻¹·h⁻¹·N_A⁻² | E_m = k₀ · z·h·N_A² | null | 2 | 2 | 2 | 5 | 4.8 | 3.2 | false | {"molar_energy": "1", "cat_activity": "-1", "planck": "-1", "avogadro": "-2"} |
6 | avogadro,grav_const,illuminance,light_speed,lum_intensity,molar_energy | E_m·I_v·E_v·c₀·G·N_A | chemistry,constants,photometry | E_m²·I_v⁻¹·E_v·c₀⁻⁸·G²·N_A⁻² | I_v = k₀ · E_m²·E_v·c₀⁻⁸·G²·N_A⁻² | null | 3 | 3 | 8 | 16 | 17.7 | -11.7 | false | {"molar_energy": "2", "lum_intensity": "-1", "illuminance": "1", "light_speed": "-8", "grav_const": "2", "avogadro": "-2"} |
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