size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | concentration,elem_charge,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·c_n·R·e | chemistry,constants,em,mechanics,thermo | m²·t⁻²·β·μ₀⁻¹·c_n⁻¹·R⁻¹·e⁻² | β = k₀ · m⁻²·t²·μ₀·c_n·R·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "2", "time": "-2", "expansion": "1", "permeability": "-1", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·R·z·e | chemistry,constants,em,mechanics,thermo | m·t³·β⁻¹·μ₀⁻²·R·z·e⁻⁴ | m = k₀ · t⁻³·β·μ₀²·R⁻¹·z⁻¹·e⁴ | null | 1 | 5 | 4 | 13 | 13.1 | -5.1 | false | {"mass": "1", "time": "3", "expansion": "-1", "permeability": "-2", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-4"} |
7 | avogadro,elem_charge,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·t²·β⁻¹·μ₀⁻²·R·e⁻⁴·N_A⁻¹ | m = k₀ · t⁻²·β·μ₀²·R⁻¹·e⁴·N_A | null | 2 | 5 | 4 | 12 | 13.4 | -6.9 | false | {"mass": "1", "time": "2", "expansion": "-1", "permeability": "-2", "gas_constant": "1", "elem_charge": "-4", "avogadro": "-1"} |
6 | boltzmann,elem_charge,expansion,mass,permeability,time | m·t·β·μ₀·k_B·e | constants,em,mechanics,thermo | m·t²·β⁻¹·μ₀⁻²·k_B·e⁻⁴ | m = k₀ · t⁻²·β·μ₀²·k_B⁻¹·e⁴ | null | 2 | 4 | 4 | 11 | 11.8 | -4.8 | false | {"mass": "1", "time": "2", "expansion": "-1", "permeability": "-2", "boltzmann": "1", "elem_charge": "-4"} |
7 | amount,conductivity,elem_charge,expansion,gas_constant,mass,time | m·t·β·σ·n·R·e | chemistry,constants,em,mechanics,thermo | m·t⁻⁴·β³·σ⁻²·n⁻³·R⁻³·e⁴ | m = k₀ · t⁴·β⁻³·σ²·n³·R³·e⁻⁴ | null | 1 | 5 | 4 | 20 | 18 | -10 | false | {"mass": "1", "time": "-4", "expansion": "3", "conductivity": "-2", "amount": "-3", "gas_constant": "-3", "elem_charge": "4"} |
7 | conductivity,elem_charge,expansion,gas_constant,mass,molar_mass,time | m·t·β·σ·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·t⁴·β⁻³·σ²·M_m⁻³·R³·e⁻⁴ | m = k₀ · t⁻²·β³ᐟ²·σ⁻¹·M_m³ᐟ²·R⁻³ᐟ²·e² | null | 1 | 5 | 4 | 21 | 18.7 | -10.7 | false | {"mass": "2", "time": "4", "expansion": "-3", "conductivity": "2", "molar_mass": "-3", "gas_constant": "3", "elem_charge": "-4"} |
7 | concentration,conductivity,elem_charge,expansion,gas_constant,mass,time | m·t·β·σ·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁴·t⁻⁷·β³·σ·c_n⁻³·R⁻³·e⁻² | σ = k₀ · m⁻⁴·t⁷·β⁻³·c_n³·R³·e² | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "4", "time": "-7", "expansion": "3", "conductivity": "1", "concentration": "-3", "gas_constant": "-3", "elem_charge": "-2"} |
7 | cat_activity,conductivity,elem_charge,expansion,gas_constant,mass,time | m·t·β·σ·R·z·e | chemistry,constants,em,mechanics,thermo | m·t⁻⁷·β³·σ⁻²·R⁻³·z⁻³·e⁴ | m = k₀ · t⁷·β⁻³·σ²·R³·z³·e⁻⁴ | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "1", "time": "-7", "expansion": "3", "conductivity": "-2", "gas_constant": "-3", "cat_activity": "-3", "elem_charge": "4"} |
7 | avogadro,conductivity,elem_charge,expansion,gas_constant,mass,time | m·t·β·σ·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻⁴·β³·σ⁻²·R⁻³·e⁴·N_A³ | m = k₀ · t⁴·β⁻³·σ²·R³·e⁻⁴·N_A⁻³ | null | 2 | 5 | 4 | 20 | 19 | -12.5 | false | {"mass": "1", "time": "-4", "expansion": "3", "conductivity": "-2", "gas_constant": "-3", "elem_charge": "4", "avogadro": "3"} |
6 | boltzmann,conductivity,elem_charge,expansion,mass,time | m·t·β·σ·k_B·e | constants,em,mechanics,thermo | m·t⁻⁴·β³·σ⁻²·k_B⁻³·e⁴ | m = k₀ · t⁴·β⁻³·σ²·k_B³·e⁻⁴ | null | 2 | 4 | 4 | 17 | 16 | -9 | false | {"mass": "1", "time": "-4", "expansion": "3", "conductivity": "-2", "boltzmann": "-3", "elem_charge": "4"} |
7 | amount,elem_charge,expansion,gas_constant,mass,resistivity,time | m·t·β·ρ_e·n·R·e | chemistry,constants,em,mechanics,thermo | m·t⁻⁴·β³·ρ_e²·n⁻³·R⁻³·e⁴ | m = k₀ · t⁴·β⁻³·ρ_e⁻²·n³·R³·e⁻⁴ | null | 1 | 5 | 4 | 20 | 18 | -10 | false | {"mass": "1", "time": "-4", "expansion": "3", "resistivity": "2", "amount": "-3", "gas_constant": "-3", "elem_charge": "4"} |
7 | elem_charge,expansion,gas_constant,mass,molar_mass,resistivity,time | m·t·β·ρ_e·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·t⁴·β⁻³·ρ_e⁻²·M_m⁻³·R³·e⁻⁴ | m = k₀ · t⁻²·β³ᐟ²·ρ_e·M_m³ᐟ²·R⁻³ᐟ²·e² | null | 1 | 5 | 4 | 21 | 18.7 | -10.7 | false | {"mass": "2", "time": "4", "expansion": "-3", "resistivity": "-2", "molar_mass": "-3", "gas_constant": "3", "elem_charge": "-4"} |
7 | concentration,elem_charge,expansion,gas_constant,mass,resistivity,time | m·t·β·ρ_e·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁴·t⁻⁷·β³·ρ_e⁻¹·c_n⁻³·R⁻³·e⁻² | ρ_e = k₀ · m⁴·t⁻⁷·β³·c_n⁻³·R⁻³·e⁻² | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "4", "time": "-7", "expansion": "3", "resistivity": "-1", "concentration": "-3", "gas_constant": "-3", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,expansion,gas_constant,mass,resistivity,time | m·t·β·ρ_e·R·z·e | chemistry,constants,em,mechanics,thermo | m·t⁻⁷·β³·ρ_e²·R⁻³·z⁻³·e⁴ | m = k₀ · t⁷·β⁻³·ρ_e⁻²·R³·z³·e⁻⁴ | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "1", "time": "-7", "expansion": "3", "resistivity": "2", "gas_constant": "-3", "cat_activity": "-3", "elem_charge": "4"} |
7 | avogadro,elem_charge,expansion,gas_constant,mass,resistivity,time | m·t·β·ρ_e·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻⁴·β³·ρ_e²·R⁻³·e⁴·N_A³ | m = k₀ · t⁴·β⁻³·ρ_e⁻²·R³·e⁻⁴·N_A⁻³ | null | 2 | 5 | 4 | 20 | 19 | -12.5 | false | {"mass": "1", "time": "-4", "expansion": "3", "resistivity": "2", "gas_constant": "-3", "elem_charge": "4", "avogadro": "3"} |
6 | boltzmann,elem_charge,expansion,mass,resistivity,time | m·t·β·ρ_e·k_B·e | constants,em,mechanics,thermo | m·t⁻⁴·β³·ρ_e²·k_B⁻³·e⁴ | m = k₀ · t⁴·β⁻³·ρ_e⁻²·k_B³·e⁻⁴ | null | 2 | 4 | 4 | 17 | 16 | -9 | false | {"mass": "1", "time": "-4", "expansion": "3", "resistivity": "2", "boltzmann": "-3", "elem_charge": "4"} |
6 | amount,concentration,expansion,gas_constant,mass,time | m·t·β·n·c_n·R | chemistry,mechanics,thermo | m³·t⁻⁶·β³·n⁻¹·c_n⁻²·R⁻³ | n = k₀ · m³·t⁻⁶·β³·c_n⁻²·R⁻³ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "3", "time": "-6", "expansion": "3", "amount": "-1", "concentration": "-2", "gas_constant": "-3"} |
6 | amount,boltzmann,concentration,expansion,mass,time | m·t·β·n·c_n·k_B | chemistry,constants,mechanics,thermo | m³·t⁻⁶·β³·n²·c_n⁻²·k_B⁻³ | n = k₀ · m⁻³ᐟ²·t³·β⁻³ᐟ²·c_n·k_B³ᐟ² | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "3", "time": "-6", "expansion": "3", "amount": "2", "concentration": "-2", "boltzmann": "-3"} |
7 | amount,expansion,gas_constant,illuminance,lum_intensity,mass,time | m·t·β·n·R·I_v·E_v | chemistry,mechanics,photometry,thermo | m·t⁻²·β·n⁻¹·R⁻¹·I_v·E_v⁻¹ | m = k₀ · t²·β⁻¹·n·R·I_v⁻¹·E_v | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "amount": "-1", "gas_constant": "-1", "lum_intensity": "1", "illuminance": "-1"} |
7 | amount,expansion,gas_constant,lum_intensity,luminance,mass,time | m·t·β·n·R·I_v·L_v | chemistry,mechanics,photometry,thermo | m·t⁻²·β·n⁻¹·R⁻¹·I_v·L_v⁻¹ | m = k₀ · t²·β⁻¹·n·R·I_v⁻¹·L_v | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "amount": "-1", "gas_constant": "-1", "lum_intensity": "1", "luminance": "-1"} |
6 | amount,expansion,gas_constant,grav_const,mass,time | m·t·β·n·R·G | chemistry,constants,mechanics,thermo | m⁵·t⁻²·β³·n⁻³·R⁻³·G² | t = k₀ · m⁵ᐟ²·β³ᐟ²·n⁻³ᐟ²·R⁻³ᐟ²·G | null | 1 | 4 | 5 | 18 | 16.2 | -7.7 | false | {"mass": "5", "time": "-2", "expansion": "3", "amount": "-3", "gas_constant": "-3", "grav_const": "2"} |
6 | concentration,expansion,gas_constant,mass,molar_mass,time | m·t·β·M_m·c_n·R | chemistry,mechanics,thermo | m²·t⁻⁶·β³·M_m·c_n⁻²·R⁻³ | M_m = k₀ · m⁻²·t⁶·β⁻³·c_n²·R³ | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "2", "time": "-6", "expansion": "3", "molar_mass": "1", "concentration": "-2", "gas_constant": "-3"} |
6 | boltzmann,concentration,expansion,mass,molar_mass,time | m·t·β·M_m·c_n·k_B | chemistry,constants,mechanics,thermo | m⁵·t⁻⁶·β³·M_m⁻²·c_n⁻²·k_B⁻³ | M_m = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·c_n⁻¹·k_B⁻³ᐟ² | null | 1 | 4 | 6 | 21 | 18.8 | -10.3 | false | {"mass": "5", "time": "-6", "expansion": "3", "molar_mass": "-2", "concentration": "-2", "boltzmann": "-3"} |
6 | expansion,gas_constant,grav_const,mass,molar_mass,time | m·t·β·M_m·R·G | chemistry,constants,mechanics,thermo | m²·t⁻²·β³·M_m³·R⁻³·G² | m = k₀ · t·β⁻³ᐟ²·M_m⁻³ᐟ²·R³ᐟ²·G⁻¹ | null | 1 | 4 | 3 | 15 | 13.1 | -4.6 | false | {"mass": "2", "time": "-2", "expansion": "3", "molar_mass": "3", "gas_constant": "-3", "grav_const": "2"} |
6 | expansion,gas_constant,mass,molar_mass,planck,time | m·t·β·M_m·R·h | chemistry,constants,mechanics,thermo | m·t·β⁻¹·M_m⁻¹·R·h⁻¹ | m = k₀ · t⁻¹·β·M_m·R⁻¹·h | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "1", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1", "planck": "-1"} |
6 | boltzmann,concentration,expansion,mass,molar_energy,time | m·t·β·c_n·E_m·k_B | chemistry,constants,mechanics,thermo | m³·t⁻⁶·β·c_n⁻²·E_m⁻²·k_B⁻¹ | β = k₀ · m⁻³·t⁶·c_n²·E_m²·k_B | null | 1 | 4 | 6 | 15 | 14.6 | -6.1 | false | {"mass": "3", "time": "-6", "expansion": "1", "concentration": "-2", "molar_energy": "-2", "boltzmann": "-1"} |
6 | cat_activity,concentration,expansion,gas_constant,mass,time | m·t·β·c_n·R·z | chemistry,mechanics,thermo | m³·t⁻⁷·β³·c_n⁻²·R⁻³·z⁻¹ | z = k₀ · m³·t⁻⁷·β³·c_n⁻²·R⁻³ | null | 0 | 3 | 7 | 19 | 17.3 | -8.3 | false | {"mass": "3", "time": "-7", "expansion": "3", "concentration": "-2", "gas_constant": "-3", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,illuminance,lum_intensity,mass,time | m·t·β·c_n·R·I_v·E_v | chemistry,mechanics,photometry,thermo | m²·t⁻⁴·β²·c_n⁻²·R⁻²·I_v⁻¹·E_v | I_v = k₀ · m²·t⁻⁴·β²·c_n⁻²·R⁻²·E_v | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "2", "time": "-4", "expansion": "2", "concentration": "-2", "gas_constant": "-2", "lum_intensity": "-1", "illuminance": "1"} |
7 | concentration,expansion,gas_constant,lum_intensity,luminance,mass,time | m·t·β·c_n·R·I_v·L_v | chemistry,mechanics,photometry,thermo | m²·t⁻⁴·β²·c_n⁻²·R⁻²·I_v⁻¹·L_v | I_v = k₀ · m²·t⁻⁴·β²·c_n⁻²·R⁻²·L_v | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "2", "time": "-4", "expansion": "2", "concentration": "-2", "gas_constant": "-2", "lum_intensity": "-1", "luminance": "1"} |
6 | concentration,expansion,gas_constant,light_speed,mass,time | m·t·β·c_n·R·c₀ | chemistry,constants,mechanics,thermo | m·t⁻³·β·c_n⁻¹·R⁻¹·c₀⁻¹ | m = k₀ · t³·β⁻¹·c_n·R·c₀ | null | 1 | 4 | 3 | 8 | 8.2 | 0.3 | false | {"mass": "1", "time": "-3", "expansion": "1", "concentration": "-1", "gas_constant": "-1", "light_speed": "-1"} |
6 | concentration,expansion,gas_constant,grav_const,mass,time | m·t·β·c_n·R·G | chemistry,constants,mechanics,thermo | m²·t⁻⁸·β³·c_n⁻³·R⁻³·G⁻¹ | G = k₀ · m²·t⁻⁸·β³·c_n⁻³·R⁻³ | null | 1 | 4 | 8 | 20 | 19.1 | -10.6 | false | {"mass": "2", "time": "-8", "expansion": "3", "concentration": "-3", "gas_constant": "-3", "grav_const": "-1"} |
6 | concentration,expansion,gas_constant,mass,planck,time | m·t·β·c_n·R·h | chemistry,constants,mechanics,thermo | m³·t⁻⁵·β²·c_n⁻²·R⁻²·h⁻¹ | h = k₀ · m³·t⁻⁵·β²·c_n⁻²·R⁻² | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "3", "time": "-5", "expansion": "2", "concentration": "-2", "gas_constant": "-2", "planck": "-1"} |
6 | boltzmann,concentration,expansion,gas_constant,mass,time | m·t·β·c_n·R·k_B | chemistry,constants,mechanics,thermo | m³·t⁻⁶·β³·c_n⁻²·R⁻²·k_B⁻¹ | k_B = k₀ · m³·t⁻⁶·β³·c_n⁻²·R⁻² | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "3", "time": "-6", "expansion": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "-1"} |
6 | avogadro,concentration,expansion,gas_constant,mass,time | m·t·β·c_n·R·N_A | chemistry,constants,mechanics,thermo | m³·t⁻⁶·β³·c_n⁻²·R⁻³·N_A | N_A = k₀ · m⁻³·t⁶·β⁻³·c_n²·R³ | null | 1 | 4 | 6 | 18 | 16.7 | -8.2 | false | {"mass": "3", "time": "-6", "expansion": "3", "concentration": "-2", "gas_constant": "-3", "avogadro": "1"} |
6 | boltzmann,cat_activity,concentration,expansion,mass,time | m·t·β·c_n·z·k_B | chemistry,constants,mechanics,thermo | m³·t⁻⁴·β³·c_n⁻²·z²·k_B⁻³ | c_n = k₀ · m³ᐟ²·t⁻²·β³ᐟ²·z·k_B⁻³ᐟ² | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "3", "time": "-4", "expansion": "3", "concentration": "-2", "cat_activity": "2", "boltzmann": "-3"} |
6 | avogadro,boltzmann,concentration,expansion,mass,time | m·t·β·c_n·k_B·N_A | chemistry,constants,mechanics,thermo | m³·t⁻⁶·β³·c_n⁻²·k_B⁻³·N_A⁻² | c_n = k₀ · m³ᐟ²·t⁻³·β³ᐟ²·k_B⁻³ᐟ²·N_A⁻¹ | null | 2 | 4 | 6 | 19 | 18.4 | -11.4 | false | {"mass": "3", "time": "-6", "expansion": "3", "concentration": "-2", "boltzmann": "-3", "avogadro": "-2"} |
7 | cat_activity,expansion,gas_constant,illuminance,lum_intensity,mass,time | m·t·β·R·z·I_v·E_v | chemistry,mechanics,photometry,thermo | m·t⁻³·β·R⁻¹·z⁻¹·I_v·E_v⁻¹ | m = k₀ · t³·β⁻¹·R·z·I_v⁻¹·E_v | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "time": "-3", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1", "lum_intensity": "1", "illuminance": "-1"} |
7 | cat_activity,expansion,gas_constant,lum_intensity,luminance,mass,time | m·t·β·R·z·I_v·L_v | chemistry,mechanics,photometry,thermo | m·t⁻³·β·R⁻¹·z⁻¹·I_v·L_v⁻¹ | m = k₀ · t³·β⁻¹·R·z·I_v⁻¹·L_v | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "time": "-3", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1", "lum_intensity": "1", "luminance": "-1"} |
6 | cat_activity,expansion,gas_constant,light_speed,mass,time | m·t·β·R·z·c₀ | chemistry,constants,mechanics,thermo | m·t⁻¹·β·R⁻¹·z⁻¹·c₀² | m = k₀ · t·β⁻¹·R·z·c₀⁻² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1", "light_speed": "2"} |
6 | cat_activity,expansion,gas_constant,grav_const,mass,time | m·t·β·R·z·G | chemistry,constants,mechanics,thermo | m⁵·t⁻⁵·β³·R⁻³·z⁻³·G² | G = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·β⁻³ᐟ²·R³ᐟ²·z³ᐟ² | null | 1 | 4 | 5 | 21 | 18.3 | -9.8 | false | {"mass": "5", "time": "-5", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3", "grav_const": "2"} |
7 | avogadro,expansion,gas_constant,illuminance,lum_intensity,mass,time | m·t·β·R·I_v·E_v·N_A | chemistry,constants,mechanics,photometry,thermo | m·t⁻²·β·R⁻¹·I_v·E_v⁻¹·N_A | m = k₀ · t²·β⁻¹·R·I_v⁻¹·E_v·N_A⁻¹ | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "time": "-2", "expansion": "1", "gas_constant": "-1", "lum_intensity": "1", "illuminance": "-1", "avogadro": "1"} |
7 | avogadro,expansion,gas_constant,lum_intensity,luminance,mass,time | m·t·β·R·I_v·L_v·N_A | chemistry,constants,mechanics,photometry,thermo | m·t⁻²·β·R⁻¹·I_v·L_v⁻¹·N_A | m = k₀ · t²·β⁻¹·R·I_v⁻¹·L_v·N_A⁻¹ | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "time": "-2", "expansion": "1", "gas_constant": "-1", "lum_intensity": "1", "luminance": "-1", "avogadro": "1"} |
6 | avogadro,expansion,gas_constant,grav_const,mass,time | m·t·β·R·G·N_A | chemistry,constants,mechanics,thermo | m⁵·t⁻²·β³·R⁻³·G²·N_A³ | t = k₀ · m⁵ᐟ²·β³ᐟ²·R⁻³ᐟ²·G·N_A³ᐟ² | null | 2 | 4 | 5 | 18 | 17.2 | -10.2 | false | {"mass": "5", "time": "-2", "expansion": "3", "gas_constant": "-3", "grav_const": "2", "avogadro": "3"} |
6 | boltzmann,expansion,illuminance,lum_intensity,mass,time | m·t·β·I_v·E_v·k_B | constants,mechanics,photometry,thermo | m·t⁻²·β·I_v·E_v⁻¹·k_B⁻¹ | m = k₀ · t²·β⁻¹·I_v⁻¹·E_v·k_B | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "lum_intensity": "1", "illuminance": "-1", "boltzmann": "-1"} |
6 | boltzmann,expansion,lum_intensity,luminance,mass,time | m·t·β·I_v·L_v·k_B | constants,mechanics,photometry,thermo | m·t⁻²·β·I_v·L_v⁻¹·k_B⁻¹ | m = k₀ · t²·β⁻¹·I_v⁻¹·L_v·k_B | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "lum_intensity": "1", "luminance": "-1", "boltzmann": "-1"} |
5 | boltzmann,expansion,grav_const,mass,time | m·t·β·G·k_B | constants,mechanics,thermo | m⁵·t⁻²·β³·G²·k_B⁻³ | t = k₀ · m⁵ᐟ²·β³ᐟ²·G·k_B⁻³ᐟ² | null | 2 | 3 | 5 | 15 | 14.2 | -6.7 | false | {"mass": "5", "time": "-2", "expansion": "3", "grav_const": "2", "boltzmann": "-3"} |
5 | charge,efield,mass,time,voltage | m·t·q·U·E_f | em,mechanics | m·t⁻²·q⁻¹·U·E_f⁻² | m = k₀ · t²·q·U⁻¹·E_f² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "-2", "charge": "-1", "voltage": "1", "efield": "-2"} |
5 | charge,mass,permittivity,time,voltage | m·t·q·U·ε | em,mechanics | m·t⁻²·q·U⁻³·ε⁻² | m = k₀ · t²·q⁻¹·U³·ε² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "-2", "charge": "1", "voltage": "-3", "permittivity": "-2"} |
5 | charge,mass,permeability,time,voltage | m·t·q·U·μ₀ | em,mechanics | m·t²·q⁻³·U·μ₀⁻² | m = k₀ · t⁻²·q³·U⁻¹·μ₀² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "2", "charge": "-3", "voltage": "1", "permeability": "-2"} |
5 | charge,conductivity,mass,time,voltage | m·t·q·U·σ | em,mechanics | m·t⁻⁴·q·U⁻³·σ⁻² | m = k₀ · t⁴·q⁻¹·U³·σ² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "time": "-4", "charge": "1", "voltage": "-3", "conductivity": "-2"} |
5 | charge,mass,resistivity,time,voltage | m·t·q·U·ρ_e | em,mechanics | m·t⁻⁴·q·U⁻³·ρ_e² | m = k₀ · t⁴·q⁻¹·U³·ρ_e⁻² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "time": "-4", "charge": "1", "voltage": "-3", "resistivity": "2"} |
6 | amount,charge,concentration,mass,time,voltage | m·t·q·U·n·c_n | chemistry,em,mechanics | m³·t⁻⁶·q⁻³·U⁻³·n²·c_n⁻² | n = k₀ · m⁻³ᐟ²·t³·q³ᐟ²·U³ᐟ²·c_n | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "3", "time": "-6", "charge": "-3", "voltage": "-3", "amount": "2", "concentration": "-2"} |
6 | charge,concentration,mass,molar_mass,time,voltage | m·t·q·U·M_m·c_n | chemistry,em,mechanics | m⁵·t⁻⁶·q⁻³·U⁻³·M_m⁻²·c_n⁻² | M_m = k₀ · m⁵ᐟ²·t⁻³·q⁻³ᐟ²·U⁻³ᐟ²·c_n⁻¹ | null | 0 | 3 | 6 | 21 | 18.2 | -9.2 | false | {"mass": "5", "time": "-6", "charge": "-3", "voltage": "-3", "molar_mass": "-2", "concentration": "-2"} |
6 | charge,concentration,mass,molar_energy,time,voltage | m·t·q·U·c_n·E_m | chemistry,em,mechanics | m³·t⁻⁶·q⁻¹·U⁻¹·c_n⁻²·E_m⁻² | q = k₀ · m³·t⁻⁶·U⁻¹·c_n⁻²·E_m⁻² | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "3", "time": "-6", "charge": "-1", "voltage": "-1", "concentration": "-2", "molar_energy": "-2"} |
7 | boltzmann,charge,concentration,gas_constant,mass,time,voltage | m·t·q·U·c_n·R·k_B | chemistry,constants,em,mechanics | m³·t⁻⁶·q⁻³·U⁻³·c_n⁻²·R⁻²·k_B² | c_n = k₀ · m³ᐟ²·t⁻³·q⁻³ᐟ²·U⁻³ᐟ²·R⁻¹·k_B | null | 1 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "time": "-6", "charge": "-3", "voltage": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"} |
6 | cat_activity,charge,concentration,mass,time,voltage | m·t·q·U·c_n·z | chemistry,em,mechanics | m³·t⁻⁴·q⁻³·U⁻³·c_n⁻²·z² | c_n = k₀ · m³ᐟ²·t⁻²·q⁻³ᐟ²·U⁻³ᐟ²·z | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "3", "time": "-4", "charge": "-3", "voltage": "-3", "concentration": "-2", "cat_activity": "2"} |
6 | avogadro,charge,concentration,mass,time,voltage | m·t·q·U·c_n·N_A | chemistry,constants,em,mechanics | m³·t⁻⁶·q⁻³·U⁻³·c_n⁻²·N_A⁻² | c_n = k₀ · m³ᐟ²·t⁻³·q⁻³ᐟ²·U⁻³ᐟ²·N_A⁻¹ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "3", "time": "-6", "charge": "-3", "voltage": "-3", "concentration": "-2", "avogadro": "-2"} |
6 | charge,illuminance,lum_intensity,mass,time,voltage | m·t·q·U·I_v·E_v | em,mechanics,photometry | m·t⁻²·q⁻¹·U⁻¹·I_v·E_v⁻¹ | m = k₀ · t²·q·U·I_v⁻¹·E_v | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "charge": "-1", "voltage": "-1", "lum_intensity": "1", "illuminance": "-1"} |
6 | charge,lum_intensity,luminance,mass,time,voltage | m·t·q·U·I_v·L_v | em,mechanics,photometry | m·t⁻²·q⁻¹·U⁻¹·I_v·L_v⁻¹ | m = k₀ · t²·q·U·I_v⁻¹·L_v | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "charge": "-1", "voltage": "-1", "lum_intensity": "1", "luminance": "-1"} |
5 | charge,grav_const,mass,time,voltage | m·t·q·U·G | constants,em,mechanics | m⁵·t⁻²·q⁻³·U⁻³·G² | t = k₀ · m⁵ᐟ²·q⁻³ᐟ²·U⁻³ᐟ²·G | null | 1 | 3 | 5 | 15 | 13.2 | -4.2 | false | {"mass": "5", "time": "-2", "charge": "-3", "voltage": "-3", "grav_const": "2"} |
5 | charge,mass,permittivity,resistance,time | m·t·q·R·ε | em,mechanics | m·t·q⁻²·R⁻³·ε⁻² | m = k₀ · t⁻¹·q²·R³·ε² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "1", "charge": "-2", "resistance": "-3", "permittivity": "-2"} |
5 | charge,mass,permeability,resistance,time | m·t·q·R·μ₀ | em,mechanics | m·t·q⁻²·R·μ₀⁻² | m = k₀ · t⁻¹·q²·R⁻¹·μ₀² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "1", "charge": "-2", "resistance": "1", "permeability": "-2"} |
5 | charge,conductivity,mass,resistance,time | m·t·q·R·σ | em,mechanics | m·t⁻¹·q⁻²·R⁻³·σ⁻² | m = k₀ · t·q²·R³·σ² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "-1", "charge": "-2", "resistance": "-3", "conductivity": "-2"} |
5 | charge,mass,resistance,resistivity,time | m·t·q·R·ρ_e | em,mechanics | m·t⁻¹·q⁻²·R⁻³·ρ_e² | m = k₀ · t·q²·R³·ρ_e⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "-1", "charge": "-2", "resistance": "-3", "resistivity": "2"} |
6 | amount,charge,concentration,mass,resistance,time | m·t·q·R·n·c_n | chemistry,em,mechanics | m³·t⁻³·q⁻⁶·R⁻³·n²·c_n⁻² | n = k₀ · m⁻³ᐟ²·t³ᐟ²·q³·R³ᐟ²·c_n | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "3", "time": "-3", "charge": "-6", "resistance": "-3", "amount": "2", "concentration": "-2"} |
6 | charge,concentration,mass,molar_mass,resistance,time | m·t·q·R·M_m·c_n | chemistry,em,mechanics | m⁵·t⁻³·q⁻⁶·R⁻³·M_m⁻²·c_n⁻² | M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·q⁻³·R⁻³ᐟ²·c_n⁻¹ | null | 0 | 3 | 6 | 21 | 18.2 | -9.2 | false | {"mass": "5", "time": "-3", "charge": "-6", "resistance": "-3", "molar_mass": "-2", "concentration": "-2"} |
6 | charge,mass,molar_energy,molar_mass,resistance,time | m·t·q·R·M_m·E_m | chemistry,em,mechanics | m·t·q⁻²·R⁻¹·M_m⁻¹·E_m | m = k₀ · t⁻¹·q²·R·M_m·E_m⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "1", "charge": "-2", "resistance": "-1", "molar_mass": "-1", "molar_energy": "1"} |
6 | charge,concentration,mass,molar_energy,resistance,time | m·t·q·R·c_n·E_m | chemistry,em,mechanics | m³·t⁻⁵·q⁻²·R⁻¹·c_n⁻²·E_m⁻² | R = k₀ · m³·t⁻⁵·q⁻²·c_n⁻²·E_m⁻² | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "3", "time": "-5", "charge": "-2", "resistance": "-1", "concentration": "-2", "molar_energy": "-2"} |
7 | boltzmann,charge,concentration,gas_constant,mass,resistance,time | m·t·q·R·c_n·R·k_B | chemistry,constants,em,mechanics | m³·t⁻³·q⁻⁶·R⁻³·c_n⁻²·R⁻²·k_B² | c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·q⁻³·R⁻³ᐟ²·R⁻¹·k_B | null | 1 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "time": "-3", "charge": "-6", "resistance": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"} |
6 | cat_activity,charge,concentration,mass,resistance,time | m·t·q·R·c_n·z | chemistry,em,mechanics | m³·t⁻¹·q⁻⁶·R⁻³·c_n⁻²·z² | t = k₀ · m³·q⁻⁶·R⁻³·c_n⁻²·z² | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "3", "time": "-1", "charge": "-6", "resistance": "-3", "concentration": "-2", "cat_activity": "2"} |
6 | avogadro,charge,concentration,mass,resistance,time | m·t·q·R·c_n·N_A | chemistry,constants,em,mechanics | m³·t⁻³·q⁻⁶·R⁻³·c_n⁻²·N_A⁻² | c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·q⁻³·R⁻³ᐟ²·N_A⁻¹ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "3", "time": "-3", "charge": "-6", "resistance": "-3", "concentration": "-2", "avogadro": "-2"} |
6 | charge,illuminance,lum_intensity,mass,resistance,time | m·t·q·R·I_v·E_v | em,mechanics,photometry | m·t⁻¹·q⁻²·R⁻¹·I_v·E_v⁻¹ | m = k₀ · t·q²·R·I_v⁻¹·E_v | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "charge": "-2", "resistance": "-1", "lum_intensity": "1", "illuminance": "-1"} |
6 | charge,lum_intensity,luminance,mass,resistance,time | m·t·q·R·I_v·L_v | em,mechanics,photometry | m·t⁻¹·q⁻²·R⁻¹·I_v·L_v⁻¹ | m = k₀ · t·q²·R·I_v⁻¹·L_v | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "charge": "-2", "resistance": "-1", "lum_intensity": "1", "luminance": "-1"} |
5 | charge,light_speed,mass,resistance,time | m·t·q·R·c₀ | constants,em,mechanics | m·t·q⁻²·R⁻¹·c₀² | m = k₀ · t⁻¹·q²·R·c₀⁻² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "time": "1", "charge": "-2", "resistance": "-1", "light_speed": "2"} |
5 | charge,grav_const,mass,resistance,time | m·t·q·R·G | constants,em,mechanics | m⁵·t·q⁻⁶·R⁻³·G² | t = k₀ · m⁻⁵·q⁶·R³·G⁻² | null | 1 | 3 | 6 | 17 | 15.1 | -6.1 | false | {"mass": "5", "time": "1", "charge": "-6", "resistance": "-3", "grav_const": "2"} |
5 | capacitance,charge,mass,permittivity,time | m·t·q·C_e·ε | em,mechanics | m·t⁻²·q⁻²·C_e³·ε⁻² | m = k₀ · t²·q²·C_e⁻³·ε² | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "time": "-2", "charge": "-2", "capacitance": "3", "permittivity": "-2"} |
5 | capacitance,charge,mass,permeability,time | m·t·q·C_e·μ₀ | em,mechanics | m·t²·q⁻²·C_e⁻¹·μ₀⁻² | m = k₀ · t⁻²·q²·C_e·μ₀² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "2", "charge": "-2", "capacitance": "-1", "permeability": "-2"} |
5 | capacitance,charge,conductivity,mass,time | m·t·q·C_e·σ | em,mechanics | m·t⁻⁴·q⁻²·C_e³·σ⁻² | m = k₀ · t⁴·q²·C_e⁻³·σ² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "1", "time": "-4", "charge": "-2", "capacitance": "3", "conductivity": "-2"} |
5 | capacitance,charge,mass,resistivity,time | m·t·q·C_e·ρ_e | em,mechanics | m·t⁻⁴·q⁻²·C_e³·ρ_e² | m = k₀ · t⁴·q²·C_e⁻³·ρ_e⁻² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "1", "time": "-4", "charge": "-2", "capacitance": "3", "resistivity": "2"} |
6 | amount,capacitance,charge,concentration,mass,time | m·t·q·C_e·n·c_n | chemistry,em,mechanics | m³·t⁻⁶·q⁻⁶·C_e³·n²·c_n⁻² | n = k₀ · m⁻³ᐟ²·t³·q³·C_e⁻³ᐟ²·c_n | null | 0 | 3 | 6 | 22 | 18.9 | -9.9 | false | {"mass": "3", "time": "-6", "charge": "-6", "capacitance": "3", "amount": "2", "concentration": "-2"} |
6 | capacitance,charge,concentration,mass,molar_mass,time | m·t·q·C_e·M_m·c_n | chemistry,em,mechanics | m⁵·t⁻⁶·q⁻⁶·C_e³·M_m⁻²·c_n⁻² | M_m = k₀ · m⁵ᐟ²·t⁻³·q⁻³·C_e³ᐟ²·c_n⁻¹ | null | 0 | 3 | 6 | 24 | 20.3 | -11.3 | false | {"mass": "5", "time": "-6", "charge": "-6", "capacitance": "3", "molar_mass": "-2", "concentration": "-2"} |
6 | capacitance,charge,concentration,mass,molar_energy,time | m·t·q·C_e·c_n·E_m | chemistry,em,mechanics | m³·t⁻⁶·q⁻²·C_e·c_n⁻²·E_m⁻² | C_e = k₀ · m⁻³·t⁶·q²·c_n²·E_m² | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "3", "time": "-6", "charge": "-2", "capacitance": "1", "concentration": "-2", "molar_energy": "-2"} |
7 | boltzmann,capacitance,charge,concentration,gas_constant,mass,time | m·t·q·C_e·c_n·R·k_B | chemistry,constants,em,mechanics | m³·t⁻⁶·q⁻⁶·C_e³·c_n⁻²·R⁻²·k_B² | c_n = k₀ · m³ᐟ²·t⁻³·q⁻³·C_e³ᐟ²·R⁻¹·k_B | null | 1 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "3", "time": "-6", "charge": "-6", "capacitance": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"} |
6 | capacitance,cat_activity,charge,concentration,mass,time | m·t·q·C_e·c_n·z | chemistry,em,mechanics | m³·t⁻⁴·q⁻⁶·C_e³·c_n⁻²·z² | c_n = k₀ · m³ᐟ²·t⁻²·q⁻³·C_e³ᐟ²·z | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "3", "time": "-4", "charge": "-6", "capacitance": "3", "concentration": "-2", "cat_activity": "2"} |
6 | avogadro,capacitance,charge,concentration,mass,time | m·t·q·C_e·c_n·N_A | chemistry,constants,em,mechanics | m³·t⁻⁶·q⁻⁶·C_e³·c_n⁻²·N_A⁻² | c_n = k₀ · m³ᐟ²·t⁻³·q⁻³·C_e³ᐟ²·N_A⁻¹ | null | 1 | 4 | 6 | 22 | 19.5 | -11 | false | {"mass": "3", "time": "-6", "charge": "-6", "capacitance": "3", "concentration": "-2", "avogadro": "-2"} |
6 | capacitance,charge,illuminance,lum_intensity,mass,time | m·t·q·C_e·I_v·E_v | em,mechanics,photometry | m·t⁻²·q⁻²·C_e·I_v·E_v⁻¹ | m = k₀ · t²·q²·C_e⁻¹·I_v⁻¹·E_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "-2", "charge": "-2", "capacitance": "1", "lum_intensity": "1", "illuminance": "-1"} |
6 | capacitance,charge,lum_intensity,luminance,mass,time | m·t·q·C_e·I_v·L_v | em,mechanics,photometry | m·t⁻²·q⁻²·C_e·I_v·L_v⁻¹ | m = k₀ · t²·q²·C_e⁻¹·I_v⁻¹·L_v | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "-2", "charge": "-2", "capacitance": "1", "lum_intensity": "1", "luminance": "-1"} |
5 | capacitance,charge,grav_const,mass,time | m·t·q·C_e·G | constants,em,mechanics | m⁵·t⁻²·q⁻⁶·C_e³·G² | t = k₀ · m⁵ᐟ²·q⁻³·C_e³ᐟ²·G | null | 1 | 3 | 6 | 18 | 15.8 | -6.8 | false | {"mass": "5", "time": "-2", "charge": "-6", "capacitance": "3", "grav_const": "2"} |
5 | charge,inductance,mass,permittivity,time | m·t·q·L_e·ε | em,mechanics | m·t⁴·q⁻²·L_e⁻³·ε⁻² | m = k₀ · t⁻⁴·q²·L_e³·ε² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "1", "time": "4", "charge": "-2", "inductance": "-3", "permittivity": "-2"} |
5 | charge,conductivity,inductance,mass,time | m·t·q·L_e·σ | em,mechanics | m·t²·q⁻²·L_e⁻³·σ⁻² | m = k₀ · t⁻²·q²·L_e³·σ² | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "time": "2", "charge": "-2", "inductance": "-3", "conductivity": "-2"} |
5 | charge,inductance,mass,resistivity,time | m·t·q·L_e·ρ_e | em,mechanics | m·t²·q⁻²·L_e⁻³·ρ_e² | m = k₀ · t⁻²·q²·L_e³·ρ_e⁻² | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "time": "2", "charge": "-2", "inductance": "-3", "resistivity": "2"} |
6 | charge,inductance,mass,molar_energy,molar_mass,time | m·t·q·L_e·M_m·E_m | chemistry,em,mechanics | m·t²·q⁻²·L_e⁻¹·M_m⁻¹·E_m | m = k₀ · t⁻²·q²·L_e·M_m·E_m⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "2", "charge": "-2", "inductance": "-1", "molar_mass": "-1", "molar_energy": "1"} |
6 | charge,concentration,inductance,mass,molar_energy,time | m·t·q·L_e·c_n·E_m | chemistry,em,mechanics | m³·t⁻⁴·q⁻²·L_e⁻¹·c_n⁻²·E_m⁻² | L_e = k₀ · m³·t⁻⁴·q⁻²·c_n⁻²·E_m⁻² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "3", "time": "-4", "charge": "-2", "inductance": "-1", "concentration": "-2", "molar_energy": "-2"} |
6 | cat_activity,charge,concentration,inductance,mass,time | m·t·q·L_e·c_n·z | chemistry,em,mechanics | m³·t²·q⁻⁶·L_e⁻³·c_n⁻²·z² | t = k₀ · m⁻³ᐟ²·q³·L_e³ᐟ²·c_n·z⁻¹ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "3", "time": "2", "charge": "-6", "inductance": "-3", "concentration": "-2", "cat_activity": "2"} |
5 | charge,inductance,light_speed,mass,time | m·t·q·L_e·c₀ | constants,em,mechanics | m·t²·q⁻²·L_e⁻¹·c₀² | m = k₀ · t⁻²·q²·L_e·c₀⁻² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "time": "2", "charge": "-2", "inductance": "-1", "light_speed": "2"} |
5 | charge,grav_const,inductance,mass,time | m·t·q·L_e·G | constants,em,mechanics | m⁵·t⁴·q⁻⁶·L_e⁻³·G² | G = k₀ · m⁻⁵ᐟ²·t⁻²·q³·L_e³ᐟ² | null | 1 | 3 | 6 | 20 | 17.2 | -8.2 | false | {"mass": "5", "time": "4", "charge": "-6", "inductance": "-3", "grav_const": "2"} |
5 | charge,efield,mag_flux,mass,time | m·t·q·E_f·Φ | em,mechanics | m·t⁻³·q⁻¹·E_f⁻²·Φ | m = k₀ · t³·q·E_f²·Φ⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "-3", "charge": "-1", "efield": "-2", "mag_flux": "1"} |
5 | charge,efield,mass,permittivity,time | m·t·q·E_f·ε | em,mechanics | m²·t⁻⁴·q⁻¹·E_f⁻³·ε⁻¹ | q = k₀ · m²·t⁻⁴·E_f⁻³·ε⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "2", "time": "-4", "charge": "-1", "efield": "-3", "permittivity": "-1"} |
5 | charge,conductivity,efield,mass,time | m·t·q·E_f·σ | em,mechanics | m²·t⁻⁵·q⁻¹·E_f⁻³·σ⁻¹ | q = k₀ · m²·t⁻⁵·E_f⁻³·σ⁻¹ | null | 0 | 2 | 5 | 12 | 10.5 | -1 | false | {"mass": "2", "time": "-5", "charge": "-1", "efield": "-3", "conductivity": "-1"} |
5 | charge,efield,mass,resistivity,time | m·t·q·E_f·ρ_e | em,mechanics | m²·t⁻⁵·q⁻¹·E_f⁻³·ρ_e | q = k₀ · m²·t⁻⁵·E_f⁻³·ρ_e | null | 0 | 2 | 5 | 12 | 10.5 | -1 | false | {"mass": "2", "time": "-5", "charge": "-1", "efield": "-3", "resistivity": "1"} |
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