size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | avogadro,elem_charge,grav_const,lum_intensity,luminance,mag_flux,molar_energy | Φ·E_m·I_v·L_v·G·e·N_A | chemistry,constants,em,photometry | Φ⁸·E_m⁻⁶·I_v⁻⁵·L_v⁵·G²·e⁸·N_A⁶ | G = k₀ · Φ⁻⁴·E_m³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·e⁻⁴·N_A⁻³ | null | 3 | 4 | 8 | 40 | 35.4 | -29.9 | false | {"mag_flux": "8", "molar_energy": "-6", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "elem_charge": "8", "avogadro": "6"} |
6 | avogadro,elem_charge,grav_const,light_speed,mag_flux,molar_energy | Φ·E_m·c₀·G·e·N_A | chemistry,constants,em | Φ·E_m⁻²·c₀⁵·G⁻¹·e·N_A² | Φ = k₀ · E_m²·c₀⁻⁵·G·e⁻¹·N_A⁻² | null | 4 | 3 | 5 | 12 | 14.4 | -9.9 | false | {"mag_flux": "1", "molar_energy": "-2", "light_speed": "5", "grav_const": "-1", "elem_charge": "1", "avogadro": "2"} |
8 | boltzmann,cat_activity,elem_charge,gas_constant,grav_const,illuminance,lum_intensity,mag_flux | Φ·R·z·I_v·E_v·G·k_B·e | chemistry,constants,em,photometry | Φ²·R⁻⁶·z⁻⁶·I_v⁻⁵·E_v⁵·G²·k_B⁶·e² | Φ = k₀ · R³·z³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·k_B⁻³·e⁻¹ | null | 3 | 4 | 6 | 34 | 30.5 | -25 | false | {"mag_flux": "2", "gas_constant": "-6", "cat_activity": "-6", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "boltzmann": "6", "elem_charge": "2"} |
8 | boltzmann,cat_activity,elem_charge,gas_constant,grav_const,lum_intensity,luminance,mag_flux | Φ·R·z·I_v·L_v·G·k_B·e | chemistry,constants,em,photometry | Φ²·R⁻⁶·z⁻⁶·I_v⁻⁵·L_v⁵·G²·k_B⁶·e² | Φ = k₀ · R³·z³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·k_B⁻³·e⁻¹ | null | 3 | 4 | 6 | 34 | 30.5 | -25 | false | {"mag_flux": "2", "gas_constant": "-6", "cat_activity": "-6", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "boltzmann": "6", "elem_charge": "2"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,grav_const,light_speed,mag_flux | Φ·R·z·c₀·G·k_B·e | chemistry,constants,em | Φ·R²·z²·c₀⁻⁵·G·k_B⁻²·e | Φ = k₀ · R⁻²·z⁻²·c₀⁵·G⁻¹·k_B²·e⁻¹ | null | 4 | 3 | 5 | 14 | 16.1 | -11.6 | false | {"mag_flux": "1", "gas_constant": "2", "cat_activity": "2", "light_speed": "-5", "grav_const": "1", "boltzmann": "-2", "elem_charge": "1"} |
7 | avogadro,cat_activity,elem_charge,grav_const,illuminance,lum_intensity,mag_flux | Φ·z·I_v·E_v·G·e·N_A | chemistry,constants,em,photometry | Φ²·z⁻⁶·I_v⁻⁵·E_v⁵·G²·e²·N_A⁻⁶ | Φ = k₀ · z³·I_v⁵ᐟ²·E_v⁻⁵ᐟ²·G⁻¹·e⁻¹·N_A³ | null | 3 | 4 | 6 | 28 | 26 | -20.5 | false | {"mag_flux": "2", "cat_activity": "-6", "lum_intensity": "-5", "illuminance": "5", "grav_const": "2", "elem_charge": "2", "avogadro": "-6"} |
7 | avogadro,cat_activity,elem_charge,grav_const,lum_intensity,luminance,mag_flux | Φ·z·I_v·L_v·G·e·N_A | chemistry,constants,em,photometry | Φ²·z⁻⁶·I_v⁻⁵·L_v⁵·G²·e²·N_A⁻⁶ | Φ = k₀ · z³·I_v⁵ᐟ²·L_v⁻⁵ᐟ²·G⁻¹·e⁻¹·N_A³ | null | 3 | 4 | 6 | 28 | 26 | -20.5 | false | {"mag_flux": "2", "cat_activity": "-6", "lum_intensity": "-5", "luminance": "5", "grav_const": "2", "elem_charge": "2", "avogadro": "-6"} |
6 | avogadro,cat_activity,elem_charge,grav_const,light_speed,mag_flux | Φ·z·c₀·G·e·N_A | chemistry,constants,em | Φ·z²·c₀⁻⁵·G·e·N_A² | Φ = k₀ · z⁻²·c₀⁵·G⁻¹·e⁻¹·N_A⁻² | null | 4 | 3 | 5 | 12 | 14.4 | -9.9 | false | {"mag_flux": "1", "cat_activity": "2", "light_speed": "-5", "grav_const": "1", "elem_charge": "1", "avogadro": "2"} |
6 | elem_charge,grav_const,illuminance,light_speed,lum_intensity,mag_flux | Φ·I_v·E_v·c₀·G·e | constants,em,photometry | Φ·I_v⁻¹·E_v·c₀⁻³·G·e | Φ = k₀ · I_v·E_v⁻¹·c₀³·G⁻¹·e⁻¹ | null | 3 | 3 | 3 | 8 | 9.6 | -3.6 | false | {"mag_flux": "1", "lum_intensity": "-1", "illuminance": "1", "light_speed": "-3", "grav_const": "1", "elem_charge": "1"} |
6 | elem_charge,grav_const,light_speed,lum_intensity,luminance,mag_flux | Φ·I_v·L_v·c₀·G·e | constants,em,photometry | Φ·I_v⁻¹·L_v·c₀⁻³·G·e | Φ = k₀ · I_v·L_v⁻¹·c₀³·G⁻¹·e⁻¹ | null | 3 | 3 | 3 | 8 | 9.6 | -3.6 | false | {"mag_flux": "1", "lum_intensity": "-1", "luminance": "1", "light_speed": "-3", "grav_const": "1", "elem_charge": "1"} |
3 | elem_charge,mag_flux,planck | Φ·h·e | constants,em | Φ·h⁻¹·e | Φ = k₀ · h·e⁻¹ | null | 2 | 2 | 1 | 3 | 2.6 | 5.4 | false | {"mag_flux": "1", "planck": "-1", "elem_charge": "1"} |
6 | amount,conductivity,grav_const,molar_mass,permeability,permittivity | ε·μ₀·σ·n·M_m·G | chemistry,constants,em | ε·μ₀³·σ²·n²·M_m²·G² | ε = k₀ · μ₀⁻³·σ⁻²·n⁻²·M_m⁻²·G⁻² | null | 1 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"permittivity": "1", "permeability": "3", "conductivity": "2", "amount": "2", "molar_mass": "2", "grav_const": "2"} |
6 | amount,conductivity,elem_charge,molar_mass,permeability,permittivity | ε·μ₀·σ·n·M_m·e | chemistry,constants,em | ε·μ₀⁻³·σ⁻²·n²·M_m²·e⁻⁴ | ε = k₀ · μ₀³·σ²·n⁻²·M_m⁻²·e⁴ | null | 1 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"permittivity": "1", "permeability": "-3", "conductivity": "-2", "amount": "2", "molar_mass": "2", "elem_charge": "-4"} |
5 | amount,concentration,conductivity,permeability,permittivity | ε·μ₀·σ·n·c_n | chemistry,em | ε³·μ₀⁻³·σ⁻⁶·n⁻²·c_n² | n = k₀ · ε³ᐟ²·μ₀⁻³ᐟ²·σ⁻³·c_n | null | 0 | 2 | 6 | 16 | 13.8 | -4.3 | false | {"permittivity": "3", "permeability": "-3", "conductivity": "-6", "amount": "-2", "concentration": "2"} |
6 | amount,conductivity,grav_const,molar_energy,permeability,permittivity | ε·μ₀·σ·n·E_m·G | chemistry,constants,em | ε³·μ₀⁵·σ²·n²·E_m²·G² | σ = k₀ · ε⁻³ᐟ²·μ₀⁻⁵ᐟ²·n⁻¹·E_m⁻¹·G⁻¹ | null | 1 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"permittivity": "3", "permeability": "5", "conductivity": "2", "amount": "2", "molar_energy": "2", "grav_const": "2"} |
6 | amount,conductivity,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·σ·n·E_m·e | chemistry,constants,em | ε³·μ₀⁻¹·σ⁻²·n²·E_m²·e⁻⁴ | μ₀ = k₀ · ε³·σ⁻²·n²·E_m²·e⁻⁴ | null | 1 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"permittivity": "3", "permeability": "-1", "conductivity": "-2", "amount": "2", "molar_energy": "2", "elem_charge": "-4"} |
6 | concentration,conductivity,molar_mass,permeability,permittivity,planck | ε·μ₀·σ·M_m·c_n·h | chemistry,constants,em | ε³·μ₀⁻⁵·σ⁻⁸·M_m²·c_n²·h⁻² | M_m = k₀ · ε⁻³ᐟ²·μ₀⁵ᐟ²·σ⁴·c_n⁻¹·h | null | 1 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"permittivity": "3", "permeability": "-5", "conductivity": "-8", "molar_mass": "2", "concentration": "2", "planck": "-2"} |
6 | concentration,conductivity,elem_charge,molar_mass,permeability,permittivity | ε·μ₀·σ·M_m·c_n·e | chemistry,constants,em | ε²·μ₀⁻³·σ⁻⁴·M_m·c_n·e⁻² | M_m = k₀ · ε⁻²·μ₀³·σ⁴·c_n⁻¹·e² | null | 1 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"permittivity": "2", "permeability": "-3", "conductivity": "-4", "molar_mass": "1", "concentration": "1", "elem_charge": "-2"} |
7 | boltzmann,conductivity,gas_constant,grav_const,molar_mass,permeability,permittivity | ε·μ₀·σ·M_m·R·G·k_B | chemistry,constants,em | ε·μ₀³·σ²·M_m²·R⁻²·G²·k_B² | ε = k₀ · μ₀⁻³·σ⁻²·M_m⁻²·R²·G⁻²·k_B⁻² | null | 2 | 3 | 3 | 14 | 13.1 | -5.6 | false | {"permittivity": "1", "permeability": "3", "conductivity": "2", "molar_mass": "2", "gas_constant": "-2", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,molar_mass,permeability,permittivity | ε·μ₀·σ·M_m·R·k_B·e | chemistry,constants,em | ε·μ₀⁻³·σ⁻²·M_m²·R⁻²·k_B²·e⁻⁴ | ε = k₀ · μ₀³·σ²·M_m⁻²·R²·k_B⁻²·e⁴ | null | 2 | 3 | 4 | 16 | 15 | -7.5 | false | {"permittivity": "1", "permeability": "-3", "conductivity": "-2", "molar_mass": "2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-4"} |
6 | cat_activity,conductivity,molar_mass,permeability,permittivity,planck | ε·μ₀·σ·M_m·z·h | chemistry,constants,em | ε·μ₀⁻¹·σ⁻²·M_m·z·h⁻¹ | ε = k₀ · μ₀·σ²·M_m⁻¹·z⁻¹·h | null | 1 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"permittivity": "1", "permeability": "-1", "conductivity": "-2", "molar_mass": "1", "cat_activity": "1", "planck": "-1"} |
6 | cat_activity,conductivity,elem_charge,molar_mass,permeability,permittivity | ε·μ₀·σ·M_m·z·e | chemistry,constants,em | ε³·μ₀⁻³·σ⁻⁴·M_m²·z²·e⁻⁴ | M_m = k₀ · ε⁻³ᐟ²·μ₀³ᐟ²·σ²·z⁻¹·e² | null | 1 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"permittivity": "3", "permeability": "-3", "conductivity": "-4", "molar_mass": "2", "cat_activity": "2", "elem_charge": "-4"} |
6 | avogadro,conductivity,grav_const,molar_mass,permeability,permittivity | ε·μ₀·σ·M_m·G·N_A | chemistry,constants,em | ε·μ₀³·σ²·M_m²·G²·N_A⁻² | ε = k₀ · μ₀⁻³·σ⁻²·M_m⁻²·G⁻²·N_A² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "1", "permeability": "3", "conductivity": "2", "molar_mass": "2", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,conductivity,elem_charge,molar_mass,permeability,permittivity | ε·μ₀·σ·M_m·e·N_A | chemistry,constants,em | ε·μ₀⁻³·σ⁻²·M_m²·e⁻⁴·N_A⁻² | ε = k₀ · μ₀³·σ²·M_m⁻²·e⁴·N_A² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "1", "permeability": "-3", "conductivity": "-2", "molar_mass": "2", "elem_charge": "-4", "avogadro": "-2"} |
6 | concentration,conductivity,grav_const,molar_energy,permeability,permittivity | ε·μ₀·σ·c_n·E_m·G | chemistry,constants,em | ε³·μ₀·σ⁻²·c_n·E_m·G | μ₀ = k₀ · ε⁻³·σ²·c_n⁻¹·E_m⁻¹·G⁻¹ | null | 1 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"permittivity": "3", "permeability": "1", "conductivity": "-2", "concentration": "1", "molar_energy": "1", "grav_const": "1"} |
6 | concentration,conductivity,molar_energy,permeability,permittivity,planck | ε·μ₀·σ·c_n·E_m·h | chemistry,constants,em | ε⁵·μ₀⁻³·σ⁻⁸·c_n²·E_m²·h⁻² | c_n = k₀ · ε⁻⁵ᐟ²·μ₀³ᐟ²·σ⁴·E_m⁻¹·h | null | 1 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"permittivity": "5", "permeability": "-3", "conductivity": "-8", "concentration": "2", "molar_energy": "2", "planck": "-2"} |
6 | concentration,conductivity,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·σ·c_n·E_m·e | chemistry,constants,em | ε³·μ₀⁻²·σ⁻⁴·c_n·E_m·e⁻² | c_n = k₀ · ε⁻³·μ₀²·σ⁴·E_m⁻¹·e² | null | 1 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"permittivity": "3", "permeability": "-2", "conductivity": "-4", "concentration": "1", "molar_energy": "1", "elem_charge": "-2"} |
6 | boltzmann,concentration,conductivity,gas_constant,permeability,permittivity | ε·μ₀·σ·c_n·R·k_B | chemistry,constants,em | ε³·μ₀⁻³·σ⁻⁶·c_n²·R²·k_B⁻² | c_n = k₀ · ε⁻³ᐟ²·μ₀³ᐟ²·σ³·R⁻¹·k_B | null | 1 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"permittivity": "3", "permeability": "-3", "conductivity": "-6", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"} |
5 | cat_activity,concentration,conductivity,permeability,permittivity | ε·μ₀·σ·c_n·z | chemistry,em | ε·μ₀⁻³·σ⁻⁴·c_n²·z⁻² | ε = k₀ · μ₀³·σ⁴·c_n⁻²·z² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"permittivity": "1", "permeability": "-3", "conductivity": "-4", "concentration": "2", "cat_activity": "-2"} |
5 | avogadro,concentration,conductivity,permeability,permittivity | ε·μ₀·σ·c_n·N_A | chemistry,constants,em | ε³·μ₀⁻³·σ⁻⁶·c_n²·N_A² | c_n = k₀ · ε⁻³ᐟ²·μ₀³ᐟ²·σ³·N_A⁻¹ | null | 1 | 3 | 6 | 16 | 14.4 | -5.4 | false | {"permittivity": "3", "permeability": "-3", "conductivity": "-6", "concentration": "2", "avogadro": "2"} |
7 | boltzmann,conductivity,gas_constant,grav_const,molar_energy,permeability,permittivity | ε·μ₀·σ·E_m·R·G·k_B | chemistry,constants,em | ε³·μ₀⁵·σ²·E_m²·R⁻²·G²·k_B² | σ = k₀ · ε⁻³ᐟ²·μ₀⁻⁵ᐟ²·E_m⁻¹·R·G⁻¹·k_B⁻¹ | null | 2 | 3 | 5 | 18 | 16.9 | -9.4 | false | {"permittivity": "3", "permeability": "5", "conductivity": "2", "molar_energy": "2", "gas_constant": "-2", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,molar_energy,permeability,permittivity | ε·μ₀·σ·E_m·R·k_B·e | chemistry,constants,em | ε³·μ₀⁻¹·σ⁻²·E_m²·R⁻²·k_B²·e⁻⁴ | μ₀ = k₀ · ε³·σ⁻²·E_m²·R⁻²·k_B²·e⁻⁴ | null | 2 | 3 | 4 | 16 | 15 | -7.5 | false | {"permittivity": "3", "permeability": "-1", "conductivity": "-2", "molar_energy": "2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-4"} |
6 | cat_activity,conductivity,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·σ·E_m·z·e | chemistry,constants,em | ε⁵·μ₀⁻¹·σ⁻⁴·E_m²·z²·e⁻⁴ | μ₀ = k₀ · ε⁵·σ⁻⁴·E_m²·z²·e⁻⁴ | null | 1 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"permittivity": "5", "permeability": "-1", "conductivity": "-4", "molar_energy": "2", "cat_activity": "2", "elem_charge": "-4"} |
6 | avogadro,conductivity,grav_const,molar_energy,permeability,permittivity | ε·μ₀·σ·E_m·G·N_A | chemistry,constants,em | ε³·μ₀⁵·σ²·E_m²·G²·N_A⁻² | σ = k₀ · ε⁻³ᐟ²·μ₀⁻⁵ᐟ²·E_m⁻¹·G⁻¹·N_A | null | 2 | 3 | 5 | 16 | 15.2 | -7.7 | false | {"permittivity": "3", "permeability": "5", "conductivity": "2", "molar_energy": "2", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,conductivity,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·σ·E_m·e·N_A | chemistry,constants,em | ε³·μ₀⁻¹·σ⁻²·E_m²·e⁻⁴·N_A⁻² | μ₀ = k₀ · ε³·σ⁻²·E_m²·e⁻⁴·N_A⁻² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "3", "permeability": "-1", "conductivity": "-2", "molar_energy": "2", "elem_charge": "-4", "avogadro": "-2"} |
5 | conductivity,illuminance,lum_intensity,permeability,permittivity | ε·μ₀·σ·I_v·E_v | em,photometry | ε·μ₀⁻¹·σ⁻²·I_v⁻¹·E_v | ε = k₀ · μ₀·σ²·I_v·E_v⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"permittivity": "1", "permeability": "-1", "conductivity": "-2", "lum_intensity": "-1", "illuminance": "1"} |
5 | conductivity,lum_intensity,luminance,permeability,permittivity | ε·μ₀·σ·I_v·L_v | em,photometry | ε·μ₀⁻¹·σ⁻²·I_v⁻¹·L_v | ε = k₀ · μ₀·σ²·I_v·L_v⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"permittivity": "1", "permeability": "-1", "conductivity": "-2", "lum_intensity": "-1", "luminance": "1"} |
5 | conductivity,grav_const,permeability,permittivity,planck | ε·μ₀·σ·G·h | constants,em | ε·μ₀⁵·σ⁴·G²·h² | ε = k₀ · μ₀⁻⁵·σ⁻⁴·G⁻²·h⁻² | null | 2 | 2 | 5 | 14 | 12.9 | -4.9 | false | {"permittivity": "1", "permeability": "5", "conductivity": "4", "grav_const": "2", "planck": "2"} |
6 | amount,grav_const,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·n·M_m·G | chemistry,constants,em | ε·μ₀³·ρ_e⁻²·n²·M_m²·G² | ε = k₀ · μ₀⁻³·ρ_e²·n⁻²·M_m⁻²·G⁻² | null | 1 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"permittivity": "1", "permeability": "3", "resistivity": "-2", "amount": "2", "molar_mass": "2", "grav_const": "2"} |
6 | amount,elem_charge,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·n·M_m·e | chemistry,constants,em | ε·μ₀⁻³·ρ_e²·n²·M_m²·e⁻⁴ | ε = k₀ · μ₀³·ρ_e⁻²·n⁻²·M_m⁻²·e⁴ | null | 1 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"permittivity": "1", "permeability": "-3", "resistivity": "2", "amount": "2", "molar_mass": "2", "elem_charge": "-4"} |
5 | amount,concentration,permeability,permittivity,resistivity | ε·μ₀·ρ_e·n·c_n | chemistry,em | ε³·μ₀⁻³·ρ_e⁶·n⁻²·c_n² | n = k₀ · ε³ᐟ²·μ₀⁻³ᐟ²·ρ_e³·c_n | null | 0 | 2 | 6 | 16 | 13.8 | -4.3 | false | {"permittivity": "3", "permeability": "-3", "resistivity": "6", "amount": "-2", "concentration": "2"} |
6 | amount,grav_const,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·n·E_m·G | chemistry,constants,em | ε³·μ₀⁵·ρ_e⁻²·n²·E_m²·G² | ρ_e = k₀ · ε³ᐟ²·μ₀⁵ᐟ²·n·E_m·G | null | 1 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"permittivity": "3", "permeability": "5", "resistivity": "-2", "amount": "2", "molar_energy": "2", "grav_const": "2"} |
6 | amount,elem_charge,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·n·E_m·e | chemistry,constants,em | ε³·μ₀⁻¹·ρ_e²·n²·E_m²·e⁻⁴ | μ₀ = k₀ · ε³·ρ_e²·n²·E_m²·e⁻⁴ | null | 1 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"permittivity": "3", "permeability": "-1", "resistivity": "2", "amount": "2", "molar_energy": "2", "elem_charge": "-4"} |
6 | concentration,molar_mass,permeability,permittivity,planck,resistivity | ε·μ₀·ρ_e·M_m·c_n·h | chemistry,constants,em | ε³·μ₀⁻⁵·ρ_e⁸·M_m²·c_n²·h⁻² | M_m = k₀ · ε⁻³ᐟ²·μ₀⁵ᐟ²·ρ_e⁻⁴·c_n⁻¹·h | null | 1 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"permittivity": "3", "permeability": "-5", "resistivity": "8", "molar_mass": "2", "concentration": "2", "planck": "-2"} |
6 | concentration,elem_charge,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·M_m·c_n·e | chemistry,constants,em | ε²·μ₀⁻³·ρ_e⁴·M_m·c_n·e⁻² | M_m = k₀ · ε⁻²·μ₀³·ρ_e⁻⁴·c_n⁻¹·e² | null | 1 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"permittivity": "2", "permeability": "-3", "resistivity": "4", "molar_mass": "1", "concentration": "1", "elem_charge": "-2"} |
7 | boltzmann,gas_constant,grav_const,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·M_m·R·G·k_B | chemistry,constants,em | ε·μ₀³·ρ_e⁻²·M_m²·R⁻²·G²·k_B² | ε = k₀ · μ₀⁻³·ρ_e²·M_m⁻²·R²·G⁻²·k_B⁻² | null | 2 | 3 | 3 | 14 | 13.1 | -5.6 | false | {"permittivity": "1", "permeability": "3", "resistivity": "-2", "molar_mass": "2", "gas_constant": "-2", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,elem_charge,gas_constant,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·M_m·R·k_B·e | chemistry,constants,em | ε·μ₀⁻³·ρ_e²·M_m²·R⁻²·k_B²·e⁻⁴ | ε = k₀ · μ₀³·ρ_e⁻²·M_m⁻²·R²·k_B⁻²·e⁴ | null | 2 | 3 | 4 | 16 | 15 | -7.5 | false | {"permittivity": "1", "permeability": "-3", "resistivity": "2", "molar_mass": "2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-4"} |
6 | cat_activity,molar_mass,permeability,permittivity,planck,resistivity | ε·μ₀·ρ_e·M_m·z·h | chemistry,constants,em | ε·μ₀⁻¹·ρ_e²·M_m·z·h⁻¹ | ε = k₀ · μ₀·ρ_e⁻²·M_m⁻¹·z⁻¹·h | null | 1 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"permittivity": "1", "permeability": "-1", "resistivity": "2", "molar_mass": "1", "cat_activity": "1", "planck": "-1"} |
6 | cat_activity,elem_charge,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·M_m·z·e | chemistry,constants,em | ε³·μ₀⁻³·ρ_e⁴·M_m²·z²·e⁻⁴ | M_m = k₀ · ε⁻³ᐟ²·μ₀³ᐟ²·ρ_e⁻²·z⁻¹·e² | null | 1 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"permittivity": "3", "permeability": "-3", "resistivity": "4", "molar_mass": "2", "cat_activity": "2", "elem_charge": "-4"} |
6 | avogadro,grav_const,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·M_m·G·N_A | chemistry,constants,em | ε·μ₀³·ρ_e⁻²·M_m²·G²·N_A⁻² | ε = k₀ · μ₀⁻³·ρ_e²·M_m⁻²·G⁻²·N_A² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "1", "permeability": "3", "resistivity": "-2", "molar_mass": "2", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,elem_charge,molar_mass,permeability,permittivity,resistivity | ε·μ₀·ρ_e·M_m·e·N_A | chemistry,constants,em | ε·μ₀⁻³·ρ_e²·M_m²·e⁻⁴·N_A⁻² | ε = k₀ · μ₀³·ρ_e⁻²·M_m⁻²·e⁴·N_A² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "1", "permeability": "-3", "resistivity": "2", "molar_mass": "2", "elem_charge": "-4", "avogadro": "-2"} |
6 | concentration,grav_const,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·c_n·E_m·G | chemistry,constants,em | ε³·μ₀·ρ_e²·c_n·E_m·G | μ₀ = k₀ · ε⁻³·ρ_e⁻²·c_n⁻¹·E_m⁻¹·G⁻¹ | null | 1 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"permittivity": "3", "permeability": "1", "resistivity": "2", "concentration": "1", "molar_energy": "1", "grav_const": "1"} |
6 | concentration,molar_energy,permeability,permittivity,planck,resistivity | ε·μ₀·ρ_e·c_n·E_m·h | chemistry,constants,em | ε⁵·μ₀⁻³·ρ_e⁸·c_n²·E_m²·h⁻² | c_n = k₀ · ε⁻⁵ᐟ²·μ₀³ᐟ²·ρ_e⁻⁴·E_m⁻¹·h | null | 1 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"permittivity": "5", "permeability": "-3", "resistivity": "8", "concentration": "2", "molar_energy": "2", "planck": "-2"} |
6 | concentration,elem_charge,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·c_n·E_m·e | chemistry,constants,em | ε³·μ₀⁻²·ρ_e⁴·c_n·E_m·e⁻² | c_n = k₀ · ε⁻³·μ₀²·ρ_e⁻⁴·E_m⁻¹·e² | null | 1 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"permittivity": "3", "permeability": "-2", "resistivity": "4", "concentration": "1", "molar_energy": "1", "elem_charge": "-2"} |
6 | boltzmann,concentration,gas_constant,permeability,permittivity,resistivity | ε·μ₀·ρ_e·c_n·R·k_B | chemistry,constants,em | ε³·μ₀⁻³·ρ_e⁶·c_n²·R²·k_B⁻² | c_n = k₀ · ε⁻³ᐟ²·μ₀³ᐟ²·ρ_e⁻³·R⁻¹·k_B | null | 1 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"permittivity": "3", "permeability": "-3", "resistivity": "6", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"} |
5 | cat_activity,concentration,permeability,permittivity,resistivity | ε·μ₀·ρ_e·c_n·z | chemistry,em | ε·μ₀⁻³·ρ_e⁴·c_n²·z⁻² | ε = k₀ · μ₀³·ρ_e⁻⁴·c_n⁻²·z² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"permittivity": "1", "permeability": "-3", "resistivity": "4", "concentration": "2", "cat_activity": "-2"} |
5 | avogadro,concentration,permeability,permittivity,resistivity | ε·μ₀·ρ_e·c_n·N_A | chemistry,constants,em | ε³·μ₀⁻³·ρ_e⁶·c_n²·N_A² | c_n = k₀ · ε⁻³ᐟ²·μ₀³ᐟ²·ρ_e⁻³·N_A⁻¹ | null | 1 | 3 | 6 | 16 | 14.4 | -5.4 | false | {"permittivity": "3", "permeability": "-3", "resistivity": "6", "concentration": "2", "avogadro": "2"} |
7 | boltzmann,gas_constant,grav_const,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·E_m·R·G·k_B | chemistry,constants,em | ε³·μ₀⁵·ρ_e⁻²·E_m²·R⁻²·G²·k_B² | ρ_e = k₀ · ε³ᐟ²·μ₀⁵ᐟ²·E_m·R⁻¹·G·k_B | null | 2 | 3 | 5 | 18 | 16.9 | -9.4 | false | {"permittivity": "3", "permeability": "5", "resistivity": "-2", "molar_energy": "2", "gas_constant": "-2", "grav_const": "2", "boltzmann": "2"} |
7 | boltzmann,elem_charge,gas_constant,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·E_m·R·k_B·e | chemistry,constants,em | ε³·μ₀⁻¹·ρ_e²·E_m²·R⁻²·k_B²·e⁻⁴ | μ₀ = k₀ · ε³·ρ_e²·E_m²·R⁻²·k_B²·e⁻⁴ | null | 2 | 3 | 4 | 16 | 15 | -7.5 | false | {"permittivity": "3", "permeability": "-1", "resistivity": "2", "molar_energy": "2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-4"} |
6 | cat_activity,elem_charge,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·E_m·z·e | chemistry,constants,em | ε⁵·μ₀⁻¹·ρ_e⁴·E_m²·z²·e⁻⁴ | μ₀ = k₀ · ε⁵·ρ_e⁴·E_m²·z²·e⁻⁴ | null | 1 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"permittivity": "5", "permeability": "-1", "resistivity": "4", "molar_energy": "2", "cat_activity": "2", "elem_charge": "-4"} |
6 | avogadro,grav_const,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·E_m·G·N_A | chemistry,constants,em | ε³·μ₀⁵·ρ_e⁻²·E_m²·G²·N_A⁻² | ρ_e = k₀ · ε³ᐟ²·μ₀⁵ᐟ²·E_m·G·N_A⁻¹ | null | 2 | 3 | 5 | 16 | 15.2 | -7.7 | false | {"permittivity": "3", "permeability": "5", "resistivity": "-2", "molar_energy": "2", "grav_const": "2", "avogadro": "-2"} |
6 | avogadro,elem_charge,molar_energy,permeability,permittivity,resistivity | ε·μ₀·ρ_e·E_m·e·N_A | chemistry,constants,em | ε³·μ₀⁻¹·ρ_e²·E_m²·e⁻⁴·N_A⁻² | μ₀ = k₀ · ε³·ρ_e²·E_m²·e⁻⁴·N_A⁻² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "3", "permeability": "-1", "resistivity": "2", "molar_energy": "2", "elem_charge": "-4", "avogadro": "-2"} |
5 | illuminance,lum_intensity,permeability,permittivity,resistivity | ε·μ₀·ρ_e·I_v·E_v | em,photometry | ε·μ₀⁻¹·ρ_e²·I_v⁻¹·E_v | ε = k₀ · μ₀·ρ_e⁻²·I_v·E_v⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"permittivity": "1", "permeability": "-1", "resistivity": "2", "lum_intensity": "-1", "illuminance": "1"} |
5 | lum_intensity,luminance,permeability,permittivity,resistivity | ε·μ₀·ρ_e·I_v·L_v | em,photometry | ε·μ₀⁻¹·ρ_e²·I_v⁻¹·L_v | ε = k₀ · μ₀·ρ_e⁻²·I_v·L_v⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"permittivity": "1", "permeability": "-1", "resistivity": "2", "lum_intensity": "-1", "luminance": "1"} |
5 | grav_const,permeability,permittivity,planck,resistivity | ε·μ₀·ρ_e·G·h | constants,em | ε·μ₀⁵·ρ_e⁻⁴·G²·h² | ε = k₀ · μ₀⁻⁵·ρ_e⁴·G⁻²·h⁻² | null | 2 | 2 | 5 | 14 | 12.9 | -4.9 | false | {"permittivity": "1", "permeability": "5", "resistivity": "-4", "grav_const": "2", "planck": "2"} |
6 | amount,concentration,grav_const,molar_mass,permeability,permittivity | ε·μ₀·n·M_m·c_n·G | chemistry,constants,em | ε³·μ₀³·n²·M_m³·c_n·G³ | c_n = k₀ · ε⁻³·μ₀⁻³·n⁻²·M_m⁻³·G⁻³ | null | 1 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"permittivity": "3", "permeability": "3", "amount": "2", "molar_mass": "3", "concentration": "1", "grav_const": "3"} |
6 | amount,concentration,molar_mass,permeability,permittivity,planck | ε·μ₀·n·M_m·c_n·h | chemistry,constants,em | ε³·μ₀³·n⁻⁸·M_m⁻⁶·c_n²·h⁶ | c_n = k₀ · ε⁻³ᐟ²·μ₀⁻³ᐟ²·n⁴·M_m³·h⁻³ | null | 1 | 3 | 8 | 28 | 24.1 | -15.1 | false | {"permittivity": "3", "permeability": "3", "amount": "-8", "molar_mass": "-6", "concentration": "2", "planck": "6"} |
6 | amount,cat_activity,molar_mass,permeability,permittivity,planck | ε·μ₀·n·M_m·z·h | chemistry,constants,em | ε·μ₀·n⁻²·M_m⁻¹·z·h | ε = k₀ · μ₀⁻¹·n²·M_m·z⁻¹·h⁻¹ | null | 1 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"permittivity": "1", "permeability": "1", "amount": "-2", "molar_mass": "-1", "cat_activity": "1", "planck": "1"} |
6 | amount,cat_activity,elem_charge,molar_mass,permeability,permittivity | ε·μ₀·n·M_m·z·e | chemistry,constants,em | ε·μ₀³·n⁻⁴·M_m⁻²·z²·e⁴ | ε = k₀ · μ₀⁻³·n⁴·M_m²·z⁻²·e⁻⁴ | null | 1 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"permittivity": "1", "permeability": "3", "amount": "-4", "molar_mass": "-2", "cat_activity": "2", "elem_charge": "4"} |
7 | amount,grav_const,illuminance,lum_intensity,molar_mass,permeability,permittivity | ε·μ₀·n·M_m·I_v·E_v·G | chemistry,constants,em,photometry | ε²·μ₀²·n²·M_m²·I_v⁻¹·E_v·G² | I_v = k₀ · ε²·μ₀²·n²·M_m²·E_v·G² | null | 1 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"permittivity": "2", "permeability": "2", "amount": "2", "molar_mass": "2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2"} |
7 | amount,illuminance,lum_intensity,molar_mass,permeability,permittivity,planck | ε·μ₀·n·M_m·I_v·E_v·h | chemistry,constants,em,photometry | ε·μ₀·n⁻²·M_m⁻²·I_v⁻¹·E_v·h² | ε = k₀ · μ₀⁻¹·n²·M_m²·I_v·E_v⁻¹·h⁻² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"permittivity": "1", "permeability": "1", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-1", "illuminance": "1", "planck": "2"} |
7 | amount,grav_const,lum_intensity,luminance,molar_mass,permeability,permittivity | ε·μ₀·n·M_m·I_v·L_v·G | chemistry,constants,em,photometry | ε²·μ₀²·n²·M_m²·I_v⁻¹·L_v·G² | I_v = k₀ · ε²·μ₀²·n²·M_m²·L_v·G² | null | 1 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"permittivity": "2", "permeability": "2", "amount": "2", "molar_mass": "2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2"} |
7 | amount,lum_intensity,luminance,molar_mass,permeability,permittivity,planck | ε·μ₀·n·M_m·I_v·L_v·h | chemistry,constants,em,photometry | ε·μ₀·n⁻²·M_m⁻²·I_v⁻¹·L_v·h² | ε = k₀ · μ₀⁻¹·n²·M_m²·I_v·L_v⁻¹·h⁻² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"permittivity": "1", "permeability": "1", "amount": "-2", "molar_mass": "-2", "lum_intensity": "-1", "luminance": "1", "planck": "2"} |
6 | amount,grav_const,molar_mass,permeability,permittivity,planck | ε·μ₀·n·M_m·G·h | chemistry,constants,em | ε·μ₀·n⁴·M_m⁴·G²·h⁻² | ε = k₀ · μ₀⁻¹·n⁻⁴·M_m⁻⁴·G⁻²·h² | null | 2 | 3 | 4 | 14 | 13.3 | -5.8 | false | {"permittivity": "1", "permeability": "1", "amount": "4", "molar_mass": "4", "grav_const": "2", "planck": "-2"} |
6 | amount,concentration,grav_const,molar_energy,permeability,permittivity | ε·μ₀·n·c_n·E_m·G | chemistry,constants,em | ε⁶·μ₀⁶·n²·c_n·E_m³·G³ | c_n = k₀ · ε⁻⁶·μ₀⁻⁶·n⁻²·E_m⁻³·G⁻³ | null | 1 | 3 | 6 | 21 | 18.2 | -9.2 | false | {"permittivity": "6", "permeability": "6", "amount": "2", "concentration": "1", "molar_energy": "3", "grav_const": "3"} |
6 | amount,concentration,molar_energy,permeability,permittivity,planck | ε·μ₀·n·c_n·E_m·h | chemistry,constants,em | ε³·μ₀³·n⁸·c_n⁻²·E_m⁶·h⁻⁶ | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·n⁴·E_m³·h⁻³ | null | 1 | 3 | 8 | 28 | 24.1 | -15.1 | false | {"permittivity": "3", "permeability": "3", "amount": "8", "concentration": "-2", "molar_energy": "6", "planck": "-6"} |
5 | amount,cat_activity,concentration,permeability,permittivity | ε·μ₀·n·c_n·z | chemistry,em | ε³·μ₀³·n⁻⁴·c_n⁻²·z⁶ | c_n = k₀ · ε³ᐟ²·μ₀³ᐟ²·n⁻²·z³ | null | 0 | 2 | 6 | 18 | 15.2 | -5.7 | false | {"permittivity": "3", "permeability": "3", "amount": "-4", "concentration": "-2", "cat_activity": "6"} |
6 | amount,concentration,grav_const,permeability,permittivity,planck | ε·μ₀·n·c_n·G·h | chemistry,constants,em | ε⁹·μ₀⁹·n⁻⁴·c_n⁴·G⁶·h⁶ | n = k₀ · ε⁹ᐟ⁴·μ₀⁹ᐟ⁴·c_n·G³ᐟ²·h³ᐟ² | null | 2 | 3 | 9 | 38 | 32.6 | -25.1 | false | {"permittivity": "9", "permeability": "9", "amount": "-4", "concentration": "4", "grav_const": "6", "planck": "6"} |
6 | amount,concentration,elem_charge,grav_const,permeability,permittivity | ε·μ₀·n·c_n·G·e | chemistry,constants,em | ε³·μ₀⁶·n⁻²·c_n²·G³·e⁶ | n = k₀ · ε³ᐟ²·μ₀³·c_n·G³ᐟ²·e³ | null | 2 | 3 | 6 | 22 | 19.9 | -12.4 | false | {"permittivity": "3", "permeability": "6", "amount": "-2", "concentration": "2", "grav_const": "3", "elem_charge": "6"} |
6 | amount,cat_activity,elem_charge,molar_energy,permeability,permittivity | ε·μ₀·n·E_m·z·e | chemistry,constants,em | ε·μ₀⁻¹·n⁴·E_m²·z⁻²·e⁻⁴ | ε = k₀ · μ₀·n⁻⁴·E_m⁻²·z²·e⁴ | null | 1 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"permittivity": "1", "permeability": "-1", "amount": "4", "molar_energy": "2", "cat_activity": "-2", "elem_charge": "-4"} |
7 | amount,grav_const,illuminance,lum_intensity,molar_energy,permeability,permittivity | ε·μ₀·n·E_m·I_v·E_v·G | chemistry,constants,em,photometry | ε⁴·μ₀⁴·n²·E_m²·I_v⁻¹·E_v·G² | I_v = k₀ · ε⁴·μ₀⁴·n²·E_m²·E_v·G² | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "4", "permeability": "4", "amount": "2", "molar_energy": "2", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2"} |
7 | amount,illuminance,lum_intensity,molar_energy,permeability,permittivity,planck | ε·μ₀·n·E_m·I_v·E_v·h | chemistry,constants,em,photometry | ε·μ₀·n²·E_m²·I_v·E_v⁻¹·h⁻² | ε = k₀ · μ₀⁻¹·n⁻²·E_m⁻²·I_v⁻¹·E_v·h² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"permittivity": "1", "permeability": "1", "amount": "2", "molar_energy": "2", "lum_intensity": "1", "illuminance": "-1", "planck": "-2"} |
7 | amount,grav_const,lum_intensity,luminance,molar_energy,permeability,permittivity | ε·μ₀·n·E_m·I_v·L_v·G | chemistry,constants,em,photometry | ε⁴·μ₀⁴·n²·E_m²·I_v⁻¹·L_v·G² | I_v = k₀ · ε⁴·μ₀⁴·n²·E_m²·L_v·G² | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "4", "permeability": "4", "amount": "2", "molar_energy": "2", "lum_intensity": "-1", "luminance": "1", "grav_const": "2"} |
7 | amount,lum_intensity,luminance,molar_energy,permeability,permittivity,planck | ε·μ₀·n·E_m·I_v·L_v·h | chemistry,constants,em,photometry | ε·μ₀·n²·E_m²·I_v·L_v⁻¹·h⁻² | ε = k₀ · μ₀⁻¹·n⁻²·E_m⁻²·I_v⁻¹·L_v·h² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"permittivity": "1", "permeability": "1", "amount": "2", "molar_energy": "2", "lum_intensity": "1", "luminance": "-1", "planck": "-2"} |
6 | amount,grav_const,molar_energy,permeability,permittivity,planck | ε·μ₀·n·E_m·G·h | chemistry,constants,em | ε⁵·μ₀⁵·n⁴·E_m⁴·G²·h⁻² | G = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·n⁻²·E_m⁻²·h | null | 2 | 3 | 5 | 22 | 19.4 | -11.9 | false | {"permittivity": "5", "permeability": "5", "amount": "4", "molar_energy": "4", "grav_const": "2", "planck": "-2"} |
6 | amount,elem_charge,grav_const,molar_energy,permeability,permittivity | ε·μ₀·n·E_m·G·e | chemistry,constants,em | ε³·μ₀²·n²·E_m²·G·e⁻² | G = k₀ · ε⁻³·μ₀⁻²·n⁻²·E_m⁻²·e² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "3", "permeability": "2", "amount": "2", "molar_energy": "2", "grav_const": "1", "elem_charge": "-2"} |
6 | amount,cat_activity,illuminance,lum_intensity,permeability,permittivity | ε·μ₀·n·z·I_v·E_v | chemistry,em,photometry | ε·μ₀·n⁻²·z²·I_v·E_v⁻¹ | ε = k₀ · μ₀⁻¹·n²·z⁻²·I_v⁻¹·E_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"permittivity": "1", "permeability": "1", "amount": "-2", "cat_activity": "2", "lum_intensity": "1", "illuminance": "-1"} |
6 | amount,cat_activity,lum_intensity,luminance,permeability,permittivity | ε·μ₀·n·z·I_v·L_v | chemistry,em,photometry | ε·μ₀·n⁻²·z²·I_v·L_v⁻¹ | ε = k₀ · μ₀⁻¹·n²·z⁻²·I_v⁻¹·L_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"permittivity": "1", "permeability": "1", "amount": "-2", "cat_activity": "2", "lum_intensity": "1", "luminance": "-1"} |
6 | amount,cat_activity,grav_const,permeability,permittivity,planck | ε·μ₀·n·z·G·h | chemistry,constants,em | ε⁵·μ₀⁵·n⁻⁴·z⁴·G²·h² | G = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·n²·z⁻²·h⁻¹ | null | 2 | 3 | 5 | 22 | 19.4 | -11.9 | false | {"permittivity": "5", "permeability": "5", "amount": "-4", "cat_activity": "4", "grav_const": "2", "planck": "2"} |
6 | amount,cat_activity,elem_charge,grav_const,permeability,permittivity | ε·μ₀·n·z·G·e | chemistry,constants,em | ε²·μ₀³·n⁻²·z²·G·e² | G = k₀ · ε⁻²·μ₀⁻³·n²·z⁻²·e⁻² | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"permittivity": "2", "permeability": "3", "amount": "-2", "cat_activity": "2", "grav_const": "1", "elem_charge": "2"} |
7 | boltzmann,concentration,gas_constant,grav_const,molar_mass,permeability,permittivity | ε·μ₀·M_m·c_n·R·G·k_B | chemistry,constants,em | ε³·μ₀³·M_m³·c_n·R⁻²·G³·k_B² | c_n = k₀ · ε⁻³·μ₀⁻³·M_m⁻³·R²·G⁻³·k_B⁻² | null | 2 | 3 | 3 | 17 | 15.2 | -7.7 | false | {"permittivity": "3", "permeability": "3", "molar_mass": "3", "concentration": "1", "gas_constant": "-2", "grav_const": "3", "boltzmann": "2"} |
7 | boltzmann,concentration,gas_constant,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·c_n·R·h·k_B | chemistry,constants,em | ε³·μ₀³·M_m⁻⁶·c_n²·R⁸·h⁶·k_B⁻⁸ | c_n = k₀ · ε⁻³ᐟ²·μ₀⁻³ᐟ²·M_m³·R⁻⁴·h⁻³·k_B⁴ | null | 2 | 3 | 8 | 36 | 31 | -23.5 | false | {"permittivity": "3", "permeability": "3", "molar_mass": "-6", "concentration": "2", "gas_constant": "8", "planck": "6", "boltzmann": "-8"} |
6 | cat_activity,concentration,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·c_n·z·h | chemistry,constants,em | ε·μ₀·M_m²·c_n⁻²·z⁴·h⁻² | ε = k₀ · μ₀⁻¹·M_m⁻²·c_n²·z⁻⁴·h² | null | 1 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "2", "concentration": "-2", "cat_activity": "4", "planck": "-2"} |
7 | concentration,grav_const,illuminance,lum_intensity,molar_mass,permeability,permittivity | ε·μ₀·M_m·c_n·I_v·E_v·G | chemistry,constants,em,photometry | ε·μ₀·M_m·c_n·I_v·E_v⁻¹·G | ε = k₀ · μ₀⁻¹·M_m⁻¹·c_n⁻¹·I_v⁻¹·E_v·G⁻¹ | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "1", "concentration": "1", "lum_intensity": "1", "illuminance": "-1", "grav_const": "1"} |
7 | concentration,illuminance,lum_intensity,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·c_n·I_v·E_v·h | chemistry,constants,em,photometry | ε·μ₀·M_m⁻²·c_n⁻²·I_v⁻⁴·E_v⁴·h² | ε = k₀ · μ₀⁻¹·M_m²·c_n²·I_v⁴·E_v⁻⁴·h⁻² | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-2", "concentration": "-2", "lum_intensity": "-4", "illuminance": "4", "planck": "2"} |
7 | concentration,grav_const,lum_intensity,luminance,molar_mass,permeability,permittivity | ε·μ₀·M_m·c_n·I_v·L_v·G | chemistry,constants,em,photometry | ε·μ₀·M_m·c_n·I_v·L_v⁻¹·G | ε = k₀ · μ₀⁻¹·M_m⁻¹·c_n⁻¹·I_v⁻¹·L_v·G⁻¹ | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "1", "concentration": "1", "lum_intensity": "1", "luminance": "-1", "grav_const": "1"} |
7 | concentration,lum_intensity,luminance,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·c_n·I_v·L_v·h | chemistry,constants,em,photometry | ε·μ₀·M_m⁻²·c_n⁻²·I_v⁻⁴·L_v⁴·h² | ε = k₀ · μ₀⁻¹·M_m²·c_n²·I_v⁴·L_v⁻⁴·h⁻² | null | 1 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"permittivity": "1", "permeability": "1", "molar_mass": "-2", "concentration": "-2", "lum_intensity": "-4", "luminance": "4", "planck": "2"} |
6 | concentration,grav_const,molar_mass,permeability,permittivity,planck | ε·μ₀·M_m·c_n·G·h | chemistry,constants,em | ε⁵·μ₀⁵·M_m²·c_n²·G⁴·h² | M_m = k₀ · ε⁻⁵ᐟ²·μ₀⁻⁵ᐟ²·c_n⁻¹·G⁻²·h⁻¹ | null | 2 | 3 | 5 | 20 | 18 | -10.5 | false | {"permittivity": "5", "permeability": "5", "molar_mass": "2", "concentration": "2", "grav_const": "4", "planck": "2"} |
6 | concentration,elem_charge,grav_const,molar_mass,permeability,permittivity | ε·μ₀·M_m·c_n·G·e | chemistry,constants,em | ε²·μ₀³·M_m·c_n·G²·e² | M_m = k₀ · ε⁻²·μ₀⁻³·c_n⁻¹·G⁻²·e⁻² | null | 2 | 3 | 3 | 11 | 10.7 | -3.2 | false | {"permittivity": "2", "permeability": "3", "molar_mass": "1", "concentration": "1", "grav_const": "2", "elem_charge": "2"} |
6 | avogadro,concentration,grav_const,molar_mass,permeability,permittivity | ε·μ₀·M_m·c_n·G·N_A | chemistry,constants,em | ε³·μ₀³·M_m³·c_n·G³·N_A⁻² | c_n = k₀ · ε⁻³·μ₀⁻³·M_m⁻³·G⁻³·N_A² | null | 2 | 3 | 3 | 15 | 13.5 | -6 | false | {"permittivity": "3", "permeability": "3", "molar_mass": "3", "concentration": "1", "grav_const": "3", "avogadro": "-2"} |
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