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,conductivity,molar_energy,permittivity,planck | ε·σ·E_m·h·N_A | chemistry,constants,em | ε·σ⁻¹·E_m·h⁻¹·N_A⁻¹ | ε = k₀ · σ·E_m⁻¹·h·N_A | null | 2 | 3 | 1 | 5 | 5.2 | 2.3 | false | {"permittivity": "1", "conductivity": "-1", "molar_energy": "1", "planck": "-1", "avogadro": "-1"} |
5 | boltzmann,cat_activity,conductivity,gas_constant,permittivity | ε·σ·R·z·k_B | chemistry,constants,em | ε·σ⁻¹·R·z·k_B⁻¹ | ε = k₀ · σ·R⁻¹·z⁻¹·k_B | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"permittivity": "1", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
4 | avogadro,cat_activity,conductivity,permittivity | ε·σ·z·N_A | chemistry,constants,em | ε·σ⁻¹·z·N_A | ε = k₀ · σ·z⁻¹·N_A⁻¹ | null | 1 | 3 | 1 | 4 | 3.2 | 5.8 | false | {"permittivity": "1", "conductivity": "-1", "cat_activity": "1", "avogadro": "1"} |
5 | conductivity,illuminance,light_speed,lum_intensity,permittivity | ε·σ·I_v·E_v·c₀ | constants,em,photometry | ε²·σ⁻²·I_v⁻¹·E_v·c₀² | I_v = k₀ · ε²·σ⁻²·E_v·c₀² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"permittivity": "2", "conductivity": "-2", "lum_intensity": "-1", "illuminance": "1", "light_speed": "2"} |
6 | conductivity,grav_const,illuminance,lum_intensity,permittivity,planck | ε·σ·I_v·E_v·G·h | constants,em,photometry | ε⁶·σ⁻⁶·I_v⁻⁵·E_v⁵·G²·h² | G = k₀ · ε⁻³·σ³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻¹ | null | 2 | 3 | 6 | 26 | 22.7 | -15.2 | false | {"permittivity": "6", "conductivity": "-6", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "planck": "2"} |
6 | conductivity,elem_charge,grav_const,illuminance,lum_intensity,permittivity | ε·σ·I_v·E_v·G·e | constants,em,photometry | ε³·σ⁻⁴·I_v⁻³·E_v³·G·e² | G = k₀ · ε⁻³·σ⁴·I_v³·E_v⁻³·e⁻² | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "3", "conductivity": "-4", "lum_intensity": "-3", "illuminance": "3", "grav_const": "1", "elem_charge": "2"} |
5 | conductivity,light_speed,lum_intensity,luminance,permittivity | ε·σ·I_v·L_v·c₀ | constants,em,photometry | ε²·σ⁻²·I_v⁻¹·L_v·c₀² | I_v = k₀ · ε²·σ⁻²·L_v·c₀² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"permittivity": "2", "conductivity": "-2", "lum_intensity": "-1", "luminance": "1", "light_speed": "2"} |
6 | conductivity,grav_const,lum_intensity,luminance,permittivity,planck | ε·σ·I_v·L_v·G·h | constants,em,photometry | ε⁶·σ⁻⁶·I_v⁻⁵·L_v⁵·G²·h² | G = k₀ · ε⁻³·σ³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻¹ | null | 2 | 3 | 6 | 26 | 22.7 | -15.2 | false | {"permittivity": "6", "conductivity": "-6", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "planck": "2"} |
6 | conductivity,elem_charge,grav_const,lum_intensity,luminance,permittivity | ε·σ·I_v·L_v·G·e | constants,em,photometry | ε³·σ⁻⁴·I_v⁻³·L_v³·G·e² | G = k₀ · ε⁻³·σ⁴·I_v³·L_v⁻³·e⁻² | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "3", "conductivity": "-4", "lum_intensity": "-3", "luminance": "3", "grav_const": "1", "elem_charge": "2"} |
5 | conductivity,grav_const,light_speed,permittivity,planck | ε·σ·c₀·G·h | constants,em | ε²·σ⁻²·c₀⁵·G⁻¹·h⁻¹ | G = k₀ · ε²·σ⁻²·c₀⁵·h⁻¹ | null | 3 | 2 | 5 | 11 | 11.8 | -5.3 | false | {"permittivity": "2", "conductivity": "-2", "light_speed": "5", "grav_const": "-1", "planck": "-1"} |
5 | conductivity,elem_charge,grav_const,light_speed,permittivity | ε·σ·c₀·G·e | constants,em | ε³·σ⁻²·c₀⁶·G⁻¹·e⁻² | G = k₀ · ε³·σ⁻²·c₀⁶·e⁻² | null | 3 | 2 | 6 | 14 | 14.4 | -7.9 | false | {"permittivity": "3", "conductivity": "-2", "light_speed": "6", "grav_const": "-1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,grav_const,permittivity,planck | ε·σ·G·h·e | constants,em | ε³·σ²·G·h⁶·e⁻¹⁰ | G = k₀ · ε⁻³·σ⁻²·h⁻⁶·e¹⁰ | null | 3 | 2 | 10 | 22 | 22 | -15.5 | false | {"permittivity": "3", "conductivity": "2", "grav_const": "1", "planck": "6", "elem_charge": "-10"} |
6 | amount,concentration,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·c_n·E_m | chemistry,em | ε⁶·ρ_e⁶·n⁻²·M_m⁻³·c_n²·E_m³ | n = k₀ · ε³·ρ_e³·M_m⁻³ᐟ²·c_n·E_m³ᐟ² | null | 0 | 2 | 6 | 22 | 18.3 | -8.8 | false | {"permittivity": "6", "resistivity": "6", "amount": "-2", "molar_mass": "-3", "concentration": "2", "molar_energy": "3"} |
6 | amount,concentration,molar_mass,permittivity,planck,resistivity | ε·ρ_e·n·M_m·c_n·h | chemistry,constants,em | ε³·ρ_e³·n⁻⁵·M_m⁻³·c_n²·h³ | c_n = k₀ · ε⁻³ᐟ²·ρ_e⁻³ᐟ²·n⁵ᐟ²·M_m³ᐟ²·h⁻³ᐟ² | null | 1 | 3 | 5 | 19 | 16.3 | -7.3 | false | {"permittivity": "3", "resistivity": "3", "amount": "-5", "molar_mass": "-3", "concentration": "2", "planck": "3"} |
6 | amount,concentration,elem_charge,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·c_n·e | chemistry,constants,em | ε·ρ_e²·n⁻²·M_m⁻¹·c_n·e² | ε = k₀ · ρ_e⁻²·n²·M_m·c_n⁻¹·e⁻² | null | 1 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"permittivity": "1", "resistivity": "2", "amount": "-2", "molar_mass": "-1", "concentration": "1", "elem_charge": "2"} |
6 | amount,grav_const,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·E_m·G | chemistry,constants,em | ε²·ρ_e²·n⁻²·M_m⁻⁵·E_m³·G⁻² | ε = k₀ · ρ_e⁻¹·n·M_m⁵ᐟ²·E_m⁻³ᐟ²·G | null | 1 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"permittivity": "2", "resistivity": "2", "amount": "-2", "molar_mass": "-5", "molar_energy": "3", "grav_const": "-2"} |
6 | amount,elem_charge,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·E_m·e | chemistry,constants,em | ε⁴·ρ_e²·n²·M_m⁻¹·E_m³·e⁻⁴ | M_m = k₀ · ε⁴·ρ_e²·n²·E_m³·e⁻⁴ | null | 1 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"permittivity": "4", "resistivity": "2", "amount": "2", "molar_mass": "-1", "molar_energy": "3", "elem_charge": "-4"} |
7 | amount,grav_const,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·n²·M_m²·I_v⁻³·E_v³·G² | n = k₀ · ε⁻²·ρ_e⁻²·M_m⁻¹·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "4", "resistivity": "4", "amount": "2", "molar_mass": "2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2"} |
7 | amount,illuminance,lum_intensity,molar_mass,permittivity,planck,resistivity | ε·ρ_e·n·M_m·I_v·E_v·h | chemistry,constants,em,photometry | ε·ρ_e·n⁻¹·M_m⁻¹·I_v⁻¹·E_v·h | ε = k₀ · ρ_e⁻¹·n·M_m·I_v·E_v⁻¹·h⁻¹ | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "resistivity": "1", "amount": "-1", "molar_mass": "-1", "lum_intensity": "-1", "illuminance": "1", "planck": "1"} |
7 | amount,elem_charge,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·I_v·E_v·e | chemistry,constants,em,photometry | ε²·ρ_e⁴·n⁻²·M_m⁻²·I_v⁻³·E_v³·e⁴ | ε = k₀ · ρ_e⁻²·n·M_m·I_v³ᐟ²·E_v⁻³ᐟ²·e⁻² | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "2", "resistivity": "4", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-3", "illuminance": "3", "elem_charge": "4"} |
7 | amount,grav_const,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·n²·M_m²·I_v⁻³·L_v³·G² | n = k₀ · ε⁻²·ρ_e⁻²·M_m⁻¹·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "4", "resistivity": "4", "amount": "2", "molar_mass": "2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2"} |
7 | amount,lum_intensity,luminance,molar_mass,permittivity,planck,resistivity | ε·ρ_e·n·M_m·I_v·L_v·h | chemistry,constants,em,photometry | ε·ρ_e·n⁻¹·M_m⁻¹·I_v⁻¹·L_v·h | ε = k₀ · ρ_e⁻¹·n·M_m·I_v·L_v⁻¹·h⁻¹ | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "resistivity": "1", "amount": "-1", "molar_mass": "-1", "lum_intensity": "-1", "luminance": "1", "planck": "1"} |
7 | amount,elem_charge,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·I_v·L_v·e | chemistry,constants,em,photometry | ε²·ρ_e⁴·n⁻²·M_m⁻²·I_v⁻³·L_v³·e⁴ | ε = k₀ · ρ_e⁻²·n·M_m·I_v³ᐟ²·L_v⁻³ᐟ²·e⁻² | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"permittivity": "2", "resistivity": "4", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-3", "luminance": "3", "elem_charge": "4"} |
6 | amount,grav_const,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·c₀·G | chemistry,constants,em | ε·ρ_e·n⁻¹·M_m⁻¹·c₀³·G⁻¹ | ε = k₀ · ρ_e⁻¹·n·M_m·c₀⁻³·G | null | 2 | 3 | 3 | 8 | 8.6 | -1.1 | false | {"permittivity": "1", "resistivity": "1", "amount": "-1", "molar_mass": "-1", "light_speed": "3", "grav_const": "-1"} |
6 | amount,light_speed,molar_mass,permittivity,planck,resistivity | ε·ρ_e·n·M_m·c₀·h | chemistry,constants,em | ε·ρ_e·n·M_m·c₀²·h⁻¹ | ε = k₀ · ρ_e⁻¹·n⁻¹·M_m⁻¹·c₀⁻²·h | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"permittivity": "1", "resistivity": "1", "amount": "1", "molar_mass": "1", "light_speed": "2", "planck": "-1"} |
6 | amount,elem_charge,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·n·M_m·c₀·e | chemistry,constants,em | ε²·ρ_e·n·M_m·c₀³·e⁻² | ρ_e = k₀ · ε⁻²·n⁻¹·M_m⁻¹·c₀⁻³·e² | null | 2 | 3 | 3 | 10 | 10 | -2.5 | false | {"permittivity": "2", "resistivity": "1", "amount": "1", "molar_mass": "1", "light_speed": "3", "elem_charge": "-2"} |
6 | amount,grav_const,molar_mass,permittivity,planck,resistivity | ε·ρ_e·n·M_m·G·h | chemistry,constants,em | ε·ρ_e·n⁵·M_m⁵·G²·h⁻³ | ε = k₀ · ρ_e⁻¹·n⁻⁵·M_m⁻⁵·G⁻²·h³ | null | 2 | 3 | 5 | 17 | 15.9 | -8.4 | false | {"permittivity": "1", "resistivity": "1", "amount": "5", "molar_mass": "5", "grav_const": "2", "planck": "-3"} |
6 | amount,elem_charge,molar_mass,permittivity,planck,resistivity | ε·ρ_e·n·M_m·h·e | chemistry,constants,em | ε·ρ_e⁻¹·n⁻¹·M_m⁻¹·h³·e⁻⁴ | ε = k₀ · ρ_e·n·M_m·h⁻³·e⁴ | null | 2 | 3 | 4 | 11 | 11.2 | -3.7 | false | {"permittivity": "1", "resistivity": "-1", "amount": "-1", "molar_mass": "-1", "planck": "3", "elem_charge": "-4"} |
6 | amount,concentration,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·n·c_n·E_m·G | chemistry,constants,em | ε¹²·ρ_e¹²·n⁻²·c_n⁵·E_m³·G³ | n = k₀ · ε⁶·ρ_e⁶·c_n⁵ᐟ²·E_m³ᐟ²·G³ᐟ² | null | 1 | 3 | 12 | 37 | 32.4 | -23.4 | false | {"permittivity": "12", "resistivity": "12", "amount": "-2", "concentration": "5", "molar_energy": "3", "grav_const": "3"} |
5 | amount,concentration,light_speed,permittivity,resistivity | ε·ρ_e·n·c_n·c₀ | chemistry,constants,em | ε³·ρ_e³·n⁻¹·c_n·c₀³ | n = k₀ · ε³·ρ_e³·c_n·c₀³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"permittivity": "3", "resistivity": "3", "amount": "-1", "concentration": "1", "light_speed": "3"} |
6 | amount,concentration,grav_const,permittivity,planck,resistivity | ε·ρ_e·n·c_n·G·h | chemistry,constants,em | ε⁹·ρ_e⁹·n⁻⁵·c_n⁵·G³·h³ | G = k₀ · ε⁻³·ρ_e⁻³·n⁵ᐟ³·c_n⁻⁵ᐟ³·h⁻¹ | null | 2 | 3 | 9 | 34 | 29.8 | -22.3 | false | {"permittivity": "9", "resistivity": "9", "amount": "-5", "concentration": "5", "grav_const": "3", "planck": "3"} |
6 | amount,concentration,elem_charge,grav_const,permittivity,resistivity | ε·ρ_e·n·c_n·G·e | chemistry,constants,em | ε³·ρ_e⁴·n⁻²·c_n²·G·e² | G = k₀ · ε⁻³·ρ_e⁻⁴·n²·c_n⁻²·e⁻² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "3", "resistivity": "4", "amount": "-2", "concentration": "2", "grav_const": "1", "elem_charge": "2"} |
7 | amount,grav_const,illuminance,lum_intensity,molar_energy,permittivity,resistivity | ε·ρ_e·n·E_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁸·ρ_e⁸·n²·E_m²·I_v⁻⁵·E_v⁵·G² | n = k₀ · ε⁻⁴·ρ_e⁻⁴·E_m⁻¹·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 8 | 32 | 27.8 | -19.3 | false | {"permittivity": "8", "resistivity": "8", "amount": "2", "molar_energy": "2", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2"} |
7 | amount,grav_const,lum_intensity,luminance,molar_energy,permittivity,resistivity | ε·ρ_e·n·E_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁸·ρ_e⁸·n²·E_m²·I_v⁻⁵·L_v⁵·G² | n = k₀ · ε⁻⁴·ρ_e⁻⁴·E_m⁻¹·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹ | null | 1 | 4 | 8 | 32 | 27.8 | -19.3 | false | {"permittivity": "8", "resistivity": "8", "amount": "2", "molar_energy": "2", "lum_intensity": "-5", "luminance": "5", "grav_const": "2"} |
6 | amount,grav_const,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·n·E_m·c₀·G | chemistry,constants,em | ε·ρ_e·n⁻¹·E_m⁻¹·c₀⁵·G⁻¹ | ε = k₀ · ρ_e⁻¹·n·E_m·c₀⁻⁵·G | null | 2 | 3 | 5 | 10 | 11 | -3.5 | false | {"permittivity": "1", "resistivity": "1", "amount": "-1", "molar_energy": "-1", "light_speed": "5", "grav_const": "-1"} |
6 | amount,elem_charge,light_speed,molar_energy,permittivity,resistivity | ε·ρ_e·n·E_m·c₀·e | chemistry,constants,em | ε²·ρ_e·n·E_m·c₀·e⁻² | ρ_e = k₀ · ε⁻²·n⁻¹·E_m⁻¹·c₀⁻¹·e² | null | 2 | 3 | 2 | 8 | 8.1 | -0.6 | false | {"permittivity": "2", "resistivity": "1", "amount": "1", "molar_energy": "1", "light_speed": "1", "elem_charge": "-2"} |
6 | amount,elem_charge,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·n·E_m·G·e | chemistry,constants,em | ε⁹·ρ_e⁴·n⁶·E_m⁶·G·e⁻¹⁰ | G = k₀ · ε⁻⁹·ρ_e⁻⁴·n⁻⁶·E_m⁻⁶·e¹⁰ | null | 2 | 3 | 10 | 36 | 31.7 | -24.2 | false | {"permittivity": "9", "resistivity": "4", "amount": "6", "molar_energy": "6", "grav_const": "1", "elem_charge": "-10"} |
5 | amount,molar_energy,permittivity,planck,resistivity | ε·ρ_e·n·E_m·h | chemistry,constants,em | ε·ρ_e·n·E_m·h⁻¹ | ε = k₀ · ρ_e⁻¹·n⁻¹·E_m⁻¹·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"permittivity": "1", "resistivity": "1", "amount": "1", "molar_energy": "1", "planck": "-1"} |
4 | amount,cat_activity,permittivity,resistivity | ε·ρ_e·n·z | chemistry,em | ε·ρ_e·n⁻¹·z | ε = k₀ · ρ_e⁻¹·n·z⁻¹ | null | 0 | 2 | 1 | 4 | 2.6 | 6.9 | true | {"permittivity": "1", "resistivity": "1", "amount": "-1", "cat_activity": "1"} |
7 | boltzmann,concentration,gas_constant,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·E_m·R·k_B | chemistry,constants,em | ε⁶·ρ_e⁶·M_m⁻³·c_n²·E_m³·R²·k_B⁻² | c_n = k₀ · ε⁻³·ρ_e⁻³·M_m³ᐟ²·E_m⁻³ᐟ²·R⁻¹·k_B | null | 1 | 3 | 6 | 24 | 20.6 | -11.6 | false | {"permittivity": "6", "resistivity": "6", "molar_mass": "-3", "concentration": "2", "molar_energy": "3", "gas_constant": "2", "boltzmann": "-2"} |
6 | cat_activity,concentration,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·E_m·z | chemistry,em | ε⁴·ρ_e⁴·M_m⁻³·c_n²·E_m³·z⁻² | c_n = k₀ · ε⁻²·ρ_e⁻²·M_m³ᐟ²·E_m⁻³ᐟ²·z | null | 0 | 2 | 4 | 18 | 14.5 | -5 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "-3", "concentration": "2", "molar_energy": "3", "cat_activity": "-2"} |
6 | concentration,molar_energy,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·E_m·h | chemistry,constants,em | ε⁸·ρ_e⁸·M_m⁻³·c_n²·E_m⁵·h⁻² | c_n = k₀ · ε⁻⁴·ρ_e⁻⁴·M_m³ᐟ²·E_m⁻⁵ᐟ²·h | null | 1 | 3 | 8 | 28 | 24.1 | -15.1 | false | {"permittivity": "8", "resistivity": "8", "molar_mass": "-3", "concentration": "2", "molar_energy": "5", "planck": "-2"} |
6 | concentration,elem_charge,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·E_m·e | chemistry,constants,em | ε⁵·ρ_e⁴·M_m⁻²·c_n·E_m³·e⁻² | c_n = k₀ · ε⁻⁵·ρ_e⁻⁴·M_m²·E_m⁻³·e² | null | 1 | 3 | 5 | 17 | 14.9 | -5.9 | false | {"permittivity": "5", "resistivity": "4", "molar_mass": "-2", "concentration": "1", "molar_energy": "3", "elem_charge": "-2"} |
6 | avogadro,concentration,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·E_m·N_A | chemistry,constants,em | ε⁶·ρ_e⁶·M_m⁻³·c_n²·E_m³·N_A² | c_n = k₀ · ε⁻³·ρ_e⁻³·M_m³ᐟ²·E_m⁻³ᐟ²·N_A⁻¹ | null | 1 | 3 | 6 | 22 | 18.9 | -9.9 | false | {"permittivity": "6", "resistivity": "6", "molar_mass": "-3", "concentration": "2", "molar_energy": "3", "avogadro": "2"} |
7 | boltzmann,concentration,gas_constant,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·R·h·k_B | chemistry,constants,em | ε³·ρ_e³·M_m⁻³·c_n²·R⁵·h³·k_B⁻⁵ | c_n = k₀ · ε⁻³ᐟ²·ρ_e⁻³ᐟ²·M_m³ᐟ²·R⁻⁵ᐟ²·h⁻³ᐟ²·k_B⁵ᐟ² | null | 2 | 3 | 5 | 24 | 21.1 | -13.6 | false | {"permittivity": "3", "resistivity": "3", "molar_mass": "-3", "concentration": "2", "gas_constant": "5", "planck": "3", "boltzmann": "-5"} |
7 | boltzmann,concentration,elem_charge,gas_constant,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·R·k_B·e | chemistry,constants,em | ε·ρ_e²·M_m⁻¹·c_n·R²·k_B⁻²·e² | ε = k₀ · ρ_e⁻²·M_m·c_n⁻¹·R⁻²·k_B²·e⁻² | null | 2 | 3 | 2 | 11 | 10.5 | -3 | false | {"permittivity": "1", "resistivity": "2", "molar_mass": "-1", "concentration": "1", "gas_constant": "2", "boltzmann": "-2", "elem_charge": "2"} |
6 | cat_activity,concentration,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·z·h | chemistry,constants,em | ε²·ρ_e²·M_m³·c_n⁻²·z⁵·h⁻³ | ε = k₀ · ρ_e⁻¹·M_m⁻³ᐟ²·c_n·z⁻⁵ᐟ²·h³ᐟ² | null | 1 | 3 | 5 | 17 | 14.9 | -5.9 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "3", "concentration": "-2", "cat_activity": "5", "planck": "-3"} |
7 | concentration,illuminance,lum_intensity,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·I_v·E_v·h | chemistry,constants,em,photometry | ε²·ρ_e²·M_m⁻²·c_n⁻²·I_v⁻⁵·E_v⁵·h² | ε = k₀ · ρ_e⁻¹·M_m·c_n·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·h⁻¹ | null | 1 | 4 | 5 | 20 | 17.9 | -9.4 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "-2", "concentration": "-2", "lum_intensity": "-5", "illuminance": "5", "planck": "2"} |
7 | concentration,elem_charge,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·I_v·E_v·e | chemistry,constants,em,photometry | ε·ρ_e²·M_m⁻¹·c_n⁻¹·I_v⁻³·E_v³·e² | ε = k₀ · ρ_e⁻²·M_m·c_n·I_v³·E_v⁻³·e⁻² | null | 1 | 4 | 3 | 13 | 12 | -3.5 | false | {"permittivity": "1", "resistivity": "2", "molar_mass": "-1", "concentration": "-1", "lum_intensity": "-3", "illuminance": "3", "elem_charge": "2"} |
7 | concentration,lum_intensity,luminance,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·I_v·L_v·h | chemistry,constants,em,photometry | ε²·ρ_e²·M_m⁻²·c_n⁻²·I_v⁻⁵·L_v⁵·h² | ε = k₀ · ρ_e⁻¹·M_m·c_n·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·h⁻¹ | null | 1 | 4 | 5 | 20 | 17.9 | -9.4 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "-2", "concentration": "-2", "lum_intensity": "-5", "luminance": "5", "planck": "2"} |
7 | concentration,elem_charge,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·I_v·L_v·e | chemistry,constants,em,photometry | ε·ρ_e²·M_m⁻¹·c_n⁻¹·I_v⁻³·L_v³·e² | ε = k₀ · ρ_e⁻²·M_m·c_n·I_v³·L_v⁻³·e⁻² | null | 1 | 4 | 3 | 13 | 12 | -3.5 | false | {"permittivity": "1", "resistivity": "2", "molar_mass": "-1", "concentration": "-1", "lum_intensity": "-3", "luminance": "3", "elem_charge": "2"} |
6 | concentration,light_speed,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·c₀·h | chemistry,constants,em | ε⁴·ρ_e⁴·M_m·c_n·c₀⁵·h⁻¹ | M_m = k₀ · ε⁻⁴·ρ_e⁻⁴·c_n⁻¹·c₀⁻⁵·h | null | 2 | 3 | 5 | 16 | 15.2 | -7.7 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "1", "concentration": "1", "light_speed": "5", "planck": "-1"} |
6 | concentration,elem_charge,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·c₀·e | chemistry,constants,em | ε⁵·ρ_e⁴·M_m·c_n·c₀⁶·e⁻² | M_m = k₀ · ε⁻⁵·ρ_e⁻⁴·c_n⁻¹·c₀⁻⁶·e² | null | 2 | 3 | 6 | 19 | 17.8 | -10.3 | false | {"permittivity": "5", "resistivity": "4", "molar_mass": "1", "concentration": "1", "light_speed": "6", "elem_charge": "-2"} |
5 | concentration,grav_const,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·G | chemistry,constants,em | ε²·ρ_e²·M_m·c_n·G | M_m = k₀ · ε⁻²·ρ_e⁻²·c_n⁻¹·G⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "1", "concentration": "1", "grav_const": "1"} |
6 | concentration,elem_charge,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·h·e | chemistry,constants,em | ε·ρ_e⁻⁴·M_m⁻¹·c_n⁻¹·h⁶·e⁻¹⁰ | ε = k₀ · ρ_e⁴·M_m·c_n·h⁻⁶·e¹⁰ | null | 2 | 3 | 10 | 23 | 22.6 | -15.1 | false | {"permittivity": "1", "resistivity": "-4", "molar_mass": "-1", "concentration": "-1", "planck": "6", "elem_charge": "-10"} |
6 | avogadro,concentration,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c_n·h·N_A | chemistry,constants,em | ε³·ρ_e³·M_m⁻³·c_n²·h³·N_A⁵ | c_n = k₀ · ε⁻³ᐟ²·ρ_e⁻³ᐟ²·M_m³ᐟ²·h⁻³ᐟ²·N_A⁻⁵ᐟ² | null | 2 | 3 | 5 | 19 | 17.3 | -9.8 | false | {"permittivity": "3", "resistivity": "3", "molar_mass": "-3", "concentration": "2", "planck": "3", "avogadro": "5"} |
6 | avogadro,concentration,elem_charge,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c_n·e·N_A | chemistry,constants,em | ε·ρ_e²·M_m⁻¹·c_n·e²·N_A² | ε = k₀ · ρ_e⁻²·M_m·c_n⁻¹·e⁻²·N_A⁻² | null | 2 | 3 | 2 | 9 | 8.8 | -1.3 | false | {"permittivity": "1", "resistivity": "2", "molar_mass": "-1", "concentration": "1", "elem_charge": "2", "avogadro": "2"} |
7 | boltzmann,gas_constant,grav_const,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·R·G·k_B | chemistry,constants,em | ε²·ρ_e²·M_m⁻⁵·E_m³·R²·G⁻²·k_B⁻² | ε = k₀ · ρ_e⁻¹·M_m⁵ᐟ²·E_m⁻³ᐟ²·R⁻¹·G·k_B | null | 2 | 3 | 5 | 18 | 16.9 | -9.4 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "-5", "molar_energy": "3", "gas_constant": "2", "grav_const": "-2", "boltzmann": "-2"} |
7 | boltzmann,elem_charge,gas_constant,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·R·k_B·e | chemistry,constants,em | ε⁴·ρ_e²·M_m⁻¹·E_m³·R⁻²·k_B²·e⁻⁴ | M_m = k₀ · ε⁴·ρ_e²·E_m³·R⁻²·k_B²·e⁻⁴ | null | 2 | 3 | 4 | 18 | 16.4 | -8.9 | false | {"permittivity": "4", "resistivity": "2", "molar_mass": "-1", "molar_energy": "3", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-4"} |
6 | cat_activity,elem_charge,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·z·e | chemistry,constants,em | ε⁶·ρ_e⁴·M_m⁻¹·E_m³·z²·e⁻⁴ | M_m = k₀ · ε⁶·ρ_e⁴·E_m³·z²·e⁻⁴ | null | 1 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"permittivity": "6", "resistivity": "4", "molar_mass": "-1", "molar_energy": "3", "cat_activity": "2", "elem_charge": "-4"} |
6 | illuminance,lum_intensity,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·I_v·E_v | chemistry,em,photometry | ε²·ρ_e²·M_m⁻¹·E_m·I_v⁻¹·E_v | M_m = k₀ · ε²·ρ_e²·E_m·I_v⁻¹·E_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "-1", "molar_energy": "1", "lum_intensity": "-1", "illuminance": "1"} |
6 | lum_intensity,luminance,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·I_v·L_v | chemistry,em,photometry | ε²·ρ_e²·M_m⁻¹·E_m·I_v⁻¹·L_v | M_m = k₀ · ε²·ρ_e²·E_m·I_v⁻¹·L_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "-1", "molar_energy": "1", "lum_intensity": "-1", "luminance": "1"} |
6 | grav_const,molar_energy,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·E_m·G·h | chemistry,constants,em | ε⁴·ρ_e⁴·M_m⁻⁵·E_m⁵·G⁻²·h⁻² | G = k₀ · ε²·ρ_e²·M_m⁻⁵ᐟ²·E_m⁵ᐟ²·h⁻¹ | null | 2 | 3 | 5 | 22 | 19.4 | -11.9 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "-5", "molar_energy": "5", "grav_const": "-2", "planck": "-2"} |
6 | elem_charge,grav_const,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·G·e | chemistry,constants,em | ε³·ρ_e²·M_m⁻³·E_m³·G⁻¹·e⁻² | G = k₀ · ε³·ρ_e²·M_m⁻³·E_m³·e⁻² | null | 2 | 3 | 3 | 14 | 12.8 | -5.3 | false | {"permittivity": "3", "resistivity": "2", "molar_mass": "-3", "molar_energy": "3", "grav_const": "-1", "elem_charge": "-2"} |
6 | avogadro,grav_const,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·G·N_A | chemistry,constants,em | ε²·ρ_e²·M_m⁻⁵·E_m³·G⁻²·N_A² | ε = k₀ · ρ_e⁻¹·M_m⁵ᐟ²·E_m⁻³ᐟ²·G·N_A⁻¹ | null | 2 | 3 | 5 | 16 | 15.2 | -7.7 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "-5", "molar_energy": "3", "grav_const": "-2", "avogadro": "2"} |
6 | avogadro,elem_charge,molar_energy,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·E_m·e·N_A | chemistry,constants,em | ε⁴·ρ_e²·M_m⁻¹·E_m³·e⁻⁴·N_A⁻² | M_m = k₀ · ε⁴·ρ_e²·E_m³·e⁻⁴·N_A⁻² | null | 2 | 3 | 4 | 16 | 14.7 | -7.2 | false | {"permittivity": "4", "resistivity": "2", "molar_mass": "-1", "molar_energy": "3", "elem_charge": "-4", "avogadro": "-2"} |
8 | boltzmann,gas_constant,grav_const,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·R·I_v·E_v·G·k_B | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·M_m²·R⁻²·I_v⁻³·E_v³·G²·k_B² | M_m = k₀ · ε⁻²·ρ_e⁻²·R·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 4 | 22 | 20.1 | -13.1 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,illuminance,lum_intensity,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·R·I_v·E_v·h·k_B | chemistry,constants,em,photometry | ε·ρ_e·M_m⁻¹·R·I_v⁻¹·E_v·h·k_B⁻¹ | ε = k₀ · ρ_e⁻¹·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", "resistivity": "1", "molar_mass": "-1", "gas_constant": "1", "lum_intensity": "-1", "illuminance": "1", "planck": "1", "boltzmann": "-1"} |
8 | boltzmann,elem_charge,gas_constant,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·R·I_v·E_v·k_B·e | chemistry,constants,em,photometry | ε²·ρ_e⁴·M_m⁻²·R²·I_v⁻³·E_v³·k_B⁻²·e⁴ | ε = k₀ · ρ_e⁻²·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", "resistivity": "4", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-3", "illuminance": "3", "boltzmann": "-2", "elem_charge": "4"} |
8 | boltzmann,gas_constant,grav_const,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·R·I_v·L_v·G·k_B | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·M_m²·R⁻²·I_v⁻³·L_v³·G²·k_B² | M_m = k₀ · ε⁻²·ρ_e⁻²·R·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹·k_B⁻¹ | null | 2 | 4 | 4 | 22 | 20.1 | -13.1 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "2", "gas_constant": "-2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2", "boltzmann": "2"} |
8 | boltzmann,gas_constant,lum_intensity,luminance,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·R·I_v·L_v·h·k_B | chemistry,constants,em,photometry | ε·ρ_e·M_m⁻¹·R·I_v⁻¹·L_v·h·k_B⁻¹ | ε = k₀ · ρ_e⁻¹·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", "resistivity": "1", "molar_mass": "-1", "gas_constant": "1", "lum_intensity": "-1", "luminance": "1", "planck": "1", "boltzmann": "-1"} |
8 | boltzmann,elem_charge,gas_constant,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·R·I_v·L_v·k_B·e | chemistry,constants,em,photometry | ε²·ρ_e⁴·M_m⁻²·R²·I_v⁻³·L_v³·k_B⁻²·e⁴ | ε = k₀ · ρ_e⁻²·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", "resistivity": "4", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-3", "luminance": "3", "boltzmann": "-2", "elem_charge": "4"} |
7 | boltzmann,gas_constant,grav_const,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·R·c₀·G·k_B | chemistry,constants,em | ε·ρ_e·M_m⁻¹·R·c₀³·G⁻¹·k_B⁻¹ | ε = k₀ · ρ_e⁻¹·M_m·R⁻¹·c₀⁻³·G·k_B | null | 3 | 3 | 3 | 9 | 10.6 | -4.6 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "-1", "gas_constant": "1", "light_speed": "3", "grav_const": "-1", "boltzmann": "-1"} |
7 | boltzmann,gas_constant,light_speed,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·R·c₀·h·k_B | chemistry,constants,em | ε·ρ_e·M_m·R⁻¹·c₀²·h⁻¹·k_B | ε = k₀ · ρ_e⁻¹·M_m⁻¹·R·c₀⁻²·h·k_B⁻¹ | null | 3 | 3 | 2 | 8 | 9.4 | -3.4 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "1", "gas_constant": "-1", "light_speed": "2", "planck": "-1", "boltzmann": "1"} |
7 | boltzmann,elem_charge,gas_constant,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·R·c₀·k_B·e | chemistry,constants,em | ε²·ρ_e·M_m·R⁻¹·c₀³·k_B·e⁻² | ρ_e = k₀ · ε⁻²·M_m⁻¹·R·c₀⁻³·k_B⁻¹·e² | null | 3 | 3 | 3 | 11 | 12 | -6 | false | {"permittivity": "2", "resistivity": "1", "molar_mass": "1", "gas_constant": "-1", "light_speed": "3", "boltzmann": "1", "elem_charge": "-2"} |
7 | boltzmann,gas_constant,grav_const,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·R·G·h·k_B | chemistry,constants,em | ε·ρ_e·M_m⁵·R⁻⁵·G²·h⁻³·k_B⁵ | ε = k₀ · ρ_e⁻¹·M_m⁻⁵·R⁵·G⁻²·h³·k_B⁻⁵ | null | 3 | 3 | 5 | 22 | 20.7 | -14.7 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "5", "gas_constant": "-5", "grav_const": "2", "planck": "-3", "boltzmann": "5"} |
7 | boltzmann,elem_charge,gas_constant,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·R·h·k_B·e | chemistry,constants,em | ε·ρ_e⁻¹·M_m⁻¹·R·h³·k_B⁻¹·e⁻⁴ | ε = k₀ · ρ_e·M_m·R⁻¹·h⁻³·k_B·e⁴ | null | 3 | 3 | 4 | 12 | 13.2 | -7.2 | false | {"permittivity": "1", "resistivity": "-1", "molar_mass": "-1", "gas_constant": "1", "planck": "3", "boltzmann": "-1", "elem_charge": "-4"} |
7 | cat_activity,grav_const,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·z·I_v·E_v·G | chemistry,constants,em,photometry | ε⁶·ρ_e⁶·M_m²·z²·I_v⁻³·E_v³·G² | M_m = k₀ · ε⁻³·ρ_e⁻³·z⁻¹·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"permittivity": "6", "resistivity": "6", "molar_mass": "2", "cat_activity": "2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2"} |
7 | cat_activity,grav_const,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·z·I_v·L_v·G | chemistry,constants,em,photometry | ε⁶·ρ_e⁶·M_m²·z²·I_v⁻³·L_v³·G² | M_m = k₀ · ε⁻³·ρ_e⁻³·z⁻¹·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹ | null | 1 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"permittivity": "6", "resistivity": "6", "molar_mass": "2", "cat_activity": "2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2"} |
6 | cat_activity,light_speed,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·z·c₀·h | chemistry,constants,em | ε²·ρ_e²·M_m·z·c₀²·h⁻¹ | M_m = k₀ · ε⁻²·ρ_e⁻²·z⁻¹·c₀⁻²·h | null | 2 | 3 | 2 | 9 | 8.8 | -1.3 | false | {"permittivity": "2", "resistivity": "2", "molar_mass": "1", "cat_activity": "1", "light_speed": "2", "planck": "-1"} |
6 | cat_activity,elem_charge,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·z·c₀·e | chemistry,constants,em | ε³·ρ_e²·M_m·z·c₀³·e⁻² | M_m = k₀ · ε⁻³·ρ_e⁻²·z⁻¹·c₀⁻³·e² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "resistivity": "2", "molar_mass": "1", "cat_activity": "1", "light_speed": "3", "elem_charge": "-2"} |
6 | cat_activity,grav_const,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·z·G·h | chemistry,constants,em | ε⁶·ρ_e⁶·M_m⁵·z⁵·G²·h⁻³ | G = k₀ · ε⁻³·ρ_e⁻³·M_m⁻⁵ᐟ²·z⁻⁵ᐟ²·h³ᐟ² | null | 2 | 3 | 6 | 27 | 23.4 | -15.9 | false | {"permittivity": "6", "resistivity": "6", "molar_mass": "5", "cat_activity": "5", "grav_const": "2", "planck": "-3"} |
6 | cat_activity,elem_charge,grav_const,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·z·G·e | chemistry,constants,em | ε³·ρ_e²·M_m²·z²·G·e⁻² | G = k₀ · ε⁻³·ρ_e⁻²·M_m⁻²·z⁻²·e² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "resistivity": "2", "molar_mass": "2", "cat_activity": "2", "grav_const": "1", "elem_charge": "-2"} |
7 | avogadro,grav_const,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·I_v·E_v·G·N_A | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·M_m²·I_v⁻³·E_v³·G²·N_A⁻² | M_m = k₀ · ε⁻²·ρ_e⁻²·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹·N_A | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "2", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,illuminance,lum_intensity,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·I_v·E_v·h·N_A | chemistry,constants,em,photometry | ε·ρ_e·M_m⁻¹·I_v⁻¹·E_v·h·N_A | ε = k₀ · ρ_e⁻¹·M_m·I_v·E_v⁻¹·h⁻¹·N_A⁻¹ | null | 2 | 4 | 1 | 7 | 7.8 | -0.8 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "-1", "lum_intensity": "-1", "illuminance": "1", "planck": "1", "avogadro": "1"} |
7 | avogadro,elem_charge,illuminance,lum_intensity,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·I_v·E_v·e·N_A | chemistry,constants,em,photometry | ε²·ρ_e⁴·M_m⁻²·I_v⁻³·E_v³·e⁴·N_A² | ε = k₀ · ρ_e⁻²·M_m·I_v³ᐟ²·E_v⁻³ᐟ²·e⁻²·N_A⁻¹ | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "2", "resistivity": "4", "molar_mass": "-2", "lum_intensity": "-3", "illuminance": "3", "elem_charge": "4", "avogadro": "2"} |
7 | avogadro,grav_const,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·I_v·L_v·G·N_A | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·M_m²·I_v⁻³·L_v³·G²·N_A⁻² | M_m = k₀ · ε⁻²·ρ_e⁻²·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹·N_A | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "4", "resistivity": "4", "molar_mass": "2", "lum_intensity": "-3", "luminance": "3", "grav_const": "2", "avogadro": "-2"} |
7 | avogadro,lum_intensity,luminance,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·I_v·L_v·h·N_A | chemistry,constants,em,photometry | ε·ρ_e·M_m⁻¹·I_v⁻¹·L_v·h·N_A | ε = k₀ · ρ_e⁻¹·M_m·I_v·L_v⁻¹·h⁻¹·N_A⁻¹ | null | 2 | 4 | 1 | 7 | 7.8 | -0.8 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "-1", "lum_intensity": "-1", "luminance": "1", "planck": "1", "avogadro": "1"} |
7 | avogadro,elem_charge,lum_intensity,luminance,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·I_v·L_v·e·N_A | chemistry,constants,em,photometry | ε²·ρ_e⁴·M_m⁻²·I_v⁻³·L_v³·e⁴·N_A² | ε = k₀ · ρ_e⁻²·M_m·I_v³ᐟ²·L_v⁻³ᐟ²·e⁻²·N_A⁻¹ | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"permittivity": "2", "resistivity": "4", "molar_mass": "-2", "lum_intensity": "-3", "luminance": "3", "elem_charge": "4", "avogadro": "2"} |
6 | avogadro,grav_const,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c₀·G·N_A | chemistry,constants,em | ε·ρ_e·M_m⁻¹·c₀³·G⁻¹·N_A | ε = k₀ · ρ_e⁻¹·M_m·c₀⁻³·G·N_A⁻¹ | null | 3 | 3 | 3 | 8 | 9.6 | -3.6 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "-1", "light_speed": "3", "grav_const": "-1", "avogadro": "1"} |
6 | avogadro,light_speed,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·c₀·h·N_A | chemistry,constants,em | ε·ρ_e·M_m·c₀²·h⁻¹·N_A⁻¹ | ε = k₀ · ρ_e⁻¹·M_m⁻¹·c₀⁻²·h·N_A | null | 3 | 3 | 2 | 7 | 8.4 | -2.4 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "1", "light_speed": "2", "planck": "-1", "avogadro": "-1"} |
6 | avogadro,elem_charge,light_speed,molar_mass,permittivity,resistivity | ε·ρ_e·M_m·c₀·e·N_A | chemistry,constants,em | ε²·ρ_e·M_m·c₀³·e⁻²·N_A⁻¹ | ρ_e = k₀ · ε⁻²·M_m⁻¹·c₀⁻³·e²·N_A | null | 3 | 3 | 3 | 10 | 11 | -5 | false | {"permittivity": "2", "resistivity": "1", "molar_mass": "1", "light_speed": "3", "elem_charge": "-2", "avogadro": "-1"} |
6 | avogadro,grav_const,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·G·h·N_A | chemistry,constants,em | ε·ρ_e·M_m⁵·G²·h⁻³·N_A⁻⁵ | ε = k₀ · ρ_e⁻¹·M_m⁻⁵·G⁻²·h³·N_A⁵ | null | 3 | 3 | 5 | 17 | 16.9 | -10.9 | false | {"permittivity": "1", "resistivity": "1", "molar_mass": "5", "grav_const": "2", "planck": "-3", "avogadro": "-5"} |
6 | avogadro,elem_charge,molar_mass,permittivity,planck,resistivity | ε·ρ_e·M_m·h·e·N_A | chemistry,constants,em | ε·ρ_e⁻¹·M_m⁻¹·h³·e⁻⁴·N_A | ε = k₀ · ρ_e·M_m·h⁻³·e⁴·N_A⁻¹ | null | 3 | 3 | 4 | 11 | 12.2 | -6.2 | false | {"permittivity": "1", "resistivity": "-1", "molar_mass": "-1", "planck": "3", "elem_charge": "-4", "avogadro": "1"} |
7 | boltzmann,concentration,gas_constant,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·R·G·k_B | chemistry,constants,em | ε¹²·ρ_e¹²·c_n⁵·E_m³·R²·G³·k_B⁻² | R = k₀ · ε⁻⁶·ρ_e⁻⁶·c_n⁻⁵ᐟ²·E_m⁻³ᐟ²·G⁻³ᐟ²·k_B | null | 2 | 3 | 12 | 39 | 35.1 | -27.6 | false | {"permittivity": "12", "resistivity": "12", "concentration": "5", "molar_energy": "3", "gas_constant": "2", "grav_const": "3", "boltzmann": "-2"} |
6 | cat_activity,concentration,grav_const,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·z·G | chemistry,constants,em | ε¹⁰·ρ_e¹⁰·c_n⁵·E_m³·z⁻²·G³ | z = k₀ · ε⁵·ρ_e⁵·c_n⁵ᐟ²·E_m³ᐟ²·G³ᐟ² | null | 1 | 3 | 10 | 33 | 28.6 | -19.6 | false | {"permittivity": "10", "resistivity": "10", "concentration": "5", "molar_energy": "3", "cat_activity": "-2", "grav_const": "3"} |
6 | cat_activity,concentration,elem_charge,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·z·e | chemistry,constants,em | ε⁷·ρ_e⁴·c_n⁻¹·E_m³·z⁴·e⁻⁶ | c_n = k₀ · ε⁷·ρ_e⁴·E_m³·z⁴·e⁻⁶ | null | 1 | 3 | 7 | 25 | 21.5 | -12.5 | false | {"permittivity": "7", "resistivity": "4", "concentration": "-1", "molar_energy": "3", "cat_activity": "4", "elem_charge": "-6"} |
7 | concentration,grav_const,illuminance,lum_intensity,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·c_n·E_m·I_v⁻¹·E_v·G | c_n = k₀ · ε⁻⁴·ρ_e⁻⁴·E_m⁻¹·I_v·E_v⁻¹·G⁻¹ | null | 1 | 4 | 4 | 13 | 12.5 | -4 | false | {"permittivity": "4", "resistivity": "4", "concentration": "1", "molar_energy": "1", "lum_intensity": "-1", "illuminance": "1", "grav_const": "1"} |
7 | concentration,illuminance,lum_intensity,molar_energy,permittivity,planck,resistivity | ε·ρ_e·c_n·E_m·I_v·E_v·h | chemistry,constants,em,photometry | ε²·ρ_e²·c_n²·E_m²·I_v³·E_v⁻³·h⁻² | ε = k₀ · ρ_e⁻¹·c_n⁻¹·E_m⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²·h | null | 1 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"permittivity": "2", "resistivity": "2", "concentration": "2", "molar_energy": "2", "lum_intensity": "3", "illuminance": "-3", "planck": "-2"} |
7 | concentration,grav_const,lum_intensity,luminance,molar_energy,permittivity,resistivity | ε·ρ_e·c_n·E_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁴·ρ_e⁴·c_n·E_m·I_v⁻¹·L_v·G | c_n = k₀ · ε⁻⁴·ρ_e⁻⁴·E_m⁻¹·I_v·L_v⁻¹·G⁻¹ | null | 1 | 4 | 4 | 13 | 12.5 | -4 | false | {"permittivity": "4", "resistivity": "4", "concentration": "1", "molar_energy": "1", "lum_intensity": "-1", "luminance": "1", "grav_const": "1"} |
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