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 | grav_const,length,mass,permeability,voltage | m·ℓ·U·μ₀·G | constants,em,mechanics | m³·ℓ⁻³·U⁻²·μ₀·G² | μ₀ = k₀ · m⁻³·ℓ³·U²·G⁻² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "length": "-3", "voltage": "-2", "permeability": "1", "grav_const": "2"} |
5 | length,mass,permeability,planck,voltage | m·ℓ·U·μ₀·h | constants,em,mechanics | m³·ℓ⁵·U²·μ₀⁻¹·h⁻⁴ | μ₀ = k₀ · m³·ℓ⁵·U²·h⁻⁴ | null | 1 | 3 | 5 | 15 | 13.2 | -4.2 | false | {"mass": "3", "length": "5", "voltage": "2", "permeability": "-1", "planck": "-4"} |
6 | amount,conductivity,length,mass,molar_energy,voltage | m·ℓ·U·σ·n·E_m | chemistry,em,mechanics | m·ℓ⁴·U⁴·σ²·n⁻³·E_m⁻³ | m = k₀ · ℓ⁻⁴·U⁻⁴·σ⁻²·n³·E_m³ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "voltage": "4", "conductivity": "2", "amount": "-3", "molar_energy": "-3"} |
6 | amount,cat_activity,conductivity,length,mass,voltage | m·ℓ·U·σ·n·z | chemistry,em,mechanics | m·ℓ·U⁻²·σ⁻¹·n⁻³·z³ | m = k₀ · ℓ⁻¹·U²·σ·n³·z⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "1", "voltage": "-2", "conductivity": "-1", "amount": "-3", "cat_activity": "3"} |
6 | conductivity,length,mass,molar_energy,molar_mass,voltage | m·ℓ·U·σ·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁴·U⁻⁴·σ⁻²·M_m⁻³·E_m³ | m = k₀ · ℓ²·U²·σ·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "length": "-4", "voltage": "-4", "conductivity": "-2", "molar_mass": "-3", "molar_energy": "3"} |
6 | cat_activity,conductivity,length,mass,molar_mass,voltage | m·ℓ·U·σ·M_m·z | chemistry,em,mechanics | m²·ℓ⁻¹·U²·σ·M_m⁻³·z⁻³ | ℓ = k₀ · m²·U²·σ·M_m⁻³·z⁻³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "2", "length": "-1", "voltage": "2", "conductivity": "1", "molar_mass": "-3", "cat_activity": "-3"} |
6 | concentration,conductivity,length,mass,molar_energy,voltage | m·ℓ·U·σ·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻⁵·U⁴·σ²·c_n⁻³·E_m⁻³ | m = k₀ · ℓ⁵·U⁻⁴·σ⁻²·c_n³·E_m³ | null | 0 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"mass": "1", "length": "-5", "voltage": "4", "conductivity": "2", "concentration": "-3", "molar_energy": "-3"} |
6 | cat_activity,concentration,conductivity,length,mass,voltage | m·ℓ·U·σ·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁸·U⁻²·σ⁻¹·c_n⁻³·z³ | m = k₀ · ℓ⁸·U²·σ·c_n³·z⁻³ | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "1", "length": "-8", "voltage": "-2", "conductivity": "-1", "concentration": "-3", "cat_activity": "3"} |
7 | boltzmann,conductivity,gas_constant,length,mass,molar_energy,voltage | m·ℓ·U·σ·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁴·U⁴·σ²·E_m⁻³·R³·k_B⁻³ | m = k₀ · ℓ⁻⁴·U⁻⁴·σ⁻²·E_m³·R⁻³·k_B³ | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "voltage": "4", "conductivity": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | avogadro,conductivity,length,mass,molar_energy,voltage | m·ℓ·U·σ·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁴·U⁴·σ²·E_m⁻³·N_A³ | m = k₀ · ℓ⁻⁴·U⁻⁴·σ⁻²·E_m³·N_A⁻³ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "1", "length": "4", "voltage": "4", "conductivity": "2", "molar_energy": "-3", "avogadro": "3"} |
7 | boltzmann,cat_activity,conductivity,gas_constant,length,mass,voltage | m·ℓ·U·σ·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ·U⁻²·σ⁻¹·R³·z³·k_B⁻³ | m = k₀ · ℓ⁻¹·U²·σ·R⁻³·z⁻³·k_B³ | null | 1 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "voltage": "-2", "conductivity": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"} |
6 | avogadro,cat_activity,conductivity,length,mass,voltage | m·ℓ·U·σ·z·N_A | chemistry,constants,em,mechanics | m·ℓ·U⁻²·σ⁻¹·z³·N_A³ | m = k₀ · ℓ⁻¹·U²·σ·z⁻³·N_A⁻³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "1", "voltage": "-2", "conductivity": "-1", "cat_activity": "3", "avogadro": "3"} |
5 | conductivity,length,light_speed,mass,voltage | m·ℓ·U·σ·c₀ | constants,em,mechanics | m·ℓ⁻²·U⁻²·σ⁻¹·c₀³ | m = k₀ · ℓ²·U²·σ·c₀⁻³ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-2", "voltage": "-2", "conductivity": "-1", "light_speed": "3"} |
5 | conductivity,grav_const,length,mass,voltage | m·ℓ·U·σ·G | constants,em,mechanics | m⁵·ℓ⁻⁷·U⁻⁴·σ⁻²·G³ | σ = k₀ · m⁵ᐟ²·ℓ⁻⁷ᐟ²·U⁻²·G³ᐟ² | null | 1 | 3 | 7 | 21 | 18.4 | -9.4 | false | {"mass": "5", "length": "-7", "voltage": "-4", "conductivity": "-2", "grav_const": "3"} |
5 | conductivity,length,mass,planck,voltage | m·ℓ·U·σ·h | constants,em,mechanics | m²·ℓ⁵·U²·σ·h⁻³ | σ = k₀ · m⁻²·ℓ⁻⁵·U⁻²·h³ | null | 1 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "2", "length": "5", "voltage": "2", "conductivity": "1", "planck": "-3"} |
5 | conductivity,elem_charge,length,mass,voltage | m·ℓ·U·σ·e | constants,em,mechanics | m·ℓ⁴·U·σ²·e⁻³ | m = k₀ · ℓ⁻⁴·U⁻¹·σ⁻²·e³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "4", "voltage": "1", "conductivity": "2", "elem_charge": "-3"} |
6 | amount,length,mass,molar_energy,resistivity,voltage | m·ℓ·U·ρ_e·n·E_m | chemistry,em,mechanics | m·ℓ⁴·U⁴·ρ_e⁻²·n⁻³·E_m⁻³ | m = k₀ · ℓ⁻⁴·U⁻⁴·ρ_e²·n³·E_m³ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "voltage": "4", "resistivity": "-2", "amount": "-3", "molar_energy": "-3"} |
6 | amount,cat_activity,length,mass,resistivity,voltage | m·ℓ·U·ρ_e·n·z | chemistry,em,mechanics | m·ℓ·U⁻²·ρ_e·n⁻³·z³ | m = k₀ · ℓ⁻¹·U²·ρ_e⁻¹·n³·z⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "1", "voltage": "-2", "resistivity": "1", "amount": "-3", "cat_activity": "3"} |
6 | length,mass,molar_energy,molar_mass,resistivity,voltage | m·ℓ·U·ρ_e·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁴·U⁻⁴·ρ_e²·M_m⁻³·E_m³ | m = k₀ · ℓ²·U²·ρ_e⁻¹·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "length": "-4", "voltage": "-4", "resistivity": "2", "molar_mass": "-3", "molar_energy": "3"} |
6 | cat_activity,length,mass,molar_mass,resistivity,voltage | m·ℓ·U·ρ_e·M_m·z | chemistry,em,mechanics | m²·ℓ⁻¹·U²·ρ_e⁻¹·M_m⁻³·z⁻³ | ℓ = k₀ · m²·U²·ρ_e⁻¹·M_m⁻³·z⁻³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "2", "length": "-1", "voltage": "2", "resistivity": "-1", "molar_mass": "-3", "cat_activity": "-3"} |
6 | concentration,length,mass,molar_energy,resistivity,voltage | m·ℓ·U·ρ_e·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻⁵·U⁴·ρ_e⁻²·c_n⁻³·E_m⁻³ | m = k₀ · ℓ⁵·U⁻⁴·ρ_e²·c_n³·E_m³ | null | 0 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"mass": "1", "length": "-5", "voltage": "4", "resistivity": "-2", "concentration": "-3", "molar_energy": "-3"} |
6 | cat_activity,concentration,length,mass,resistivity,voltage | m·ℓ·U·ρ_e·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁸·U⁻²·ρ_e·c_n⁻³·z³ | m = k₀ · ℓ⁸·U²·ρ_e⁻¹·c_n³·z⁻³ | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "1", "length": "-8", "voltage": "-2", "resistivity": "1", "concentration": "-3", "cat_activity": "3"} |
7 | boltzmann,gas_constant,length,mass,molar_energy,resistivity,voltage | m·ℓ·U·ρ_e·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁴·U⁴·ρ_e⁻²·E_m⁻³·R³·k_B⁻³ | m = k₀ · ℓ⁻⁴·U⁻⁴·ρ_e²·E_m³·R⁻³·k_B³ | null | 1 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "voltage": "4", "resistivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | avogadro,length,mass,molar_energy,resistivity,voltage | m·ℓ·U·ρ_e·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁴·U⁴·ρ_e⁻²·E_m⁻³·N_A³ | m = k₀ · ℓ⁻⁴·U⁻⁴·ρ_e²·E_m³·N_A⁻³ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "1", "length": "4", "voltage": "4", "resistivity": "-2", "molar_energy": "-3", "avogadro": "3"} |
7 | boltzmann,cat_activity,gas_constant,length,mass,resistivity,voltage | m·ℓ·U·ρ_e·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ·U⁻²·ρ_e·R³·z³·k_B⁻³ | m = k₀ · ℓ⁻¹·U²·ρ_e⁻¹·R⁻³·z⁻³·k_B³ | null | 1 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "voltage": "-2", "resistivity": "1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"} |
6 | avogadro,cat_activity,length,mass,resistivity,voltage | m·ℓ·U·ρ_e·z·N_A | chemistry,constants,em,mechanics | m·ℓ·U⁻²·ρ_e·z³·N_A³ | m = k₀ · ℓ⁻¹·U²·ρ_e⁻¹·z⁻³·N_A⁻³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "1", "voltage": "-2", "resistivity": "1", "cat_activity": "3", "avogadro": "3"} |
5 | length,light_speed,mass,resistivity,voltage | m·ℓ·U·ρ_e·c₀ | constants,em,mechanics | m·ℓ⁻²·U⁻²·ρ_e·c₀³ | m = k₀ · ℓ²·U²·ρ_e⁻¹·c₀⁻³ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-2", "voltage": "-2", "resistivity": "1", "light_speed": "3"} |
5 | grav_const,length,mass,resistivity,voltage | m·ℓ·U·ρ_e·G | constants,em,mechanics | m⁵·ℓ⁻⁷·U⁻⁴·ρ_e²·G³ | ρ_e = k₀ · m⁻⁵ᐟ²·ℓ⁷ᐟ²·U²·G⁻³ᐟ² | null | 1 | 3 | 7 | 21 | 18.4 | -9.4 | false | {"mass": "5", "length": "-7", "voltage": "-4", "resistivity": "2", "grav_const": "3"} |
5 | length,mass,planck,resistivity,voltage | m·ℓ·U·ρ_e·h | constants,em,mechanics | m²·ℓ⁵·U²·ρ_e⁻¹·h⁻³ | ρ_e = k₀ · m²·ℓ⁵·U²·h⁻³ | null | 1 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "2", "length": "5", "voltage": "2", "resistivity": "-1", "planck": "-3"} |
5 | elem_charge,length,mass,resistivity,voltage | m·ℓ·U·ρ_e·e | constants,em,mechanics | m·ℓ⁴·U·ρ_e⁻²·e⁻³ | m = k₀ · ℓ⁻⁴·U⁻¹·ρ_e²·e³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "4", "voltage": "1", "resistivity": "-2", "elem_charge": "-3"} |
6 | amount,cat_activity,elem_charge,length,mass,voltage | m·ℓ·U·n·z·e | chemistry,constants,em,mechanics | m·ℓ²·U⁻¹·n⁻²·z²·e⁻¹ | m = k₀ · ℓ⁻²·U·n²·z⁻²·e | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "voltage": "-1", "amount": "-2", "cat_activity": "2", "elem_charge": "-1"} |
6 | cat_activity,elem_charge,length,mass,molar_mass,voltage | m·ℓ·U·M_m·z·e | chemistry,constants,em,mechanics | m·ℓ⁻²·U·M_m⁻²·z⁻²·e | m = k₀ · ℓ²·U⁻¹·M_m²·z²·e⁻¹ | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "voltage": "1", "molar_mass": "-2", "cat_activity": "-2", "elem_charge": "1"} |
6 | cat_activity,concentration,elem_charge,length,mass,voltage | m·ℓ·U·c_n·z·e | chemistry,constants,em,mechanics | m·ℓ⁻⁴·U⁻¹·c_n⁻²·z²·e⁻¹ | m = k₀ · ℓ⁴·U·c_n²·z⁻²·e | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "-4", "voltage": "-1", "concentration": "-2", "cat_activity": "2", "elem_charge": "-1"} |
6 | cat_activity,elem_charge,length,mass,molar_energy,voltage | m·ℓ·U·E_m·z·e | chemistry,constants,em,mechanics | m·ℓ²·U⁻³·E_m²·z²·e⁻³ | m = k₀ · ℓ⁻²·U³·E_m⁻²·z⁻²·e³ | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "1", "length": "2", "voltage": "-3", "molar_energy": "2", "cat_activity": "2", "elem_charge": "-3"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,length,mass,voltage | m·ℓ·U·R·z·k_B·e | chemistry,constants,em,mechanics | m·ℓ²·U⁻¹·R²·z²·k_B⁻²·e⁻¹ | m = k₀ · ℓ⁻²·U·R⁻²·z⁻²·k_B²·e | null | 2 | 4 | 2 | 11 | 11.1 | -4.1 | false | {"mass": "1", "length": "2", "voltage": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2", "elem_charge": "-1"} |
6 | avogadro,cat_activity,elem_charge,length,mass,voltage | m·ℓ·U·z·e·N_A | chemistry,constants,em,mechanics | m·ℓ²·U⁻¹·z²·e⁻¹·N_A² | m = k₀ · ℓ⁻²·U·z⁻²·e·N_A⁻² | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "length": "2", "voltage": "-1", "cat_activity": "2", "elem_charge": "-1", "avogadro": "2"} |
5 | elem_charge,grav_const,length,mass,voltage | m·ℓ·U·G·e | constants,em,mechanics | m²·ℓ⁻¹·U⁻¹·G·e⁻¹ | ℓ = k₀ · m²·U⁻¹·G·e⁻¹ | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "2", "length": "-1", "voltage": "-1", "grav_const": "1", "elem_charge": "-1"} |
5 | elem_charge,length,mass,planck,voltage | m·ℓ·U·h·e | constants,em,mechanics | m·ℓ²·U·h⁻²·e | m = k₀ · ℓ⁻²·U⁻¹·h²·e⁻¹ | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "1", "length": "2", "voltage": "1", "planck": "-2", "elem_charge": "1"} |
6 | amount,capacitance,length,mass,molar_energy,resistance | m·ℓ·R·C_e·n·E_m | chemistry,em,mechanics | m·ℓ²·R⁻²·C_e⁻²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻²·R²·C_e²·n·E_m | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "resistance": "-2", "capacitance": "-2", "amount": "-1", "molar_energy": "-1"} |
6 | capacitance,concentration,length,mass,molar_energy,resistance | m·ℓ·R·C_e·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻¹·R⁻²·C_e⁻²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ·R²·C_e²·c_n·E_m | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-1", "resistance": "-2", "capacitance": "-2", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,capacitance,gas_constant,length,mass,molar_energy,resistance | m·ℓ·R·C_e·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ²·R⁻²·C_e⁻²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻²·R²·C_e²·E_m·R⁻¹·k_B | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "resistance": "-2", "capacitance": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | capacitance,cat_activity,length,mass,molar_energy,resistance | m·ℓ·R·C_e·E_m·z | chemistry,em,mechanics | m·ℓ²·R⁻³·C_e⁻³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·R³·C_e³·E_m·z | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "2", "resistance": "-3", "capacitance": "-3", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,capacitance,length,mass,molar_energy,resistance | m·ℓ·R·C_e·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ²·R⁻²·C_e⁻²·E_m⁻¹·N_A | m = k₀ · ℓ⁻²·R²·C_e²·E_m·N_A⁻¹ | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "resistance": "-2", "capacitance": "-2", "molar_energy": "-1", "avogadro": "1"} |
5 | capacitance,grav_const,length,mass,resistance | m·ℓ·R·C_e·G | constants,em,mechanics | m·ℓ⁻³·R²·C_e²·G | m = k₀ · ℓ³·R⁻²·C_e⁻²·G⁻¹ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "resistance": "2", "capacitance": "2", "grav_const": "1"} |
5 | capacitance,length,mass,planck,resistance | m·ℓ·R·C_e·h | constants,em,mechanics | m·ℓ²·R⁻¹·C_e⁻¹·h⁻¹ | m = k₀ · ℓ⁻²·R·C_e·h | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "2", "resistance": "-1", "capacitance": "-1", "planck": "-1"} |
5 | capacitance,elem_charge,length,mass,resistance | m·ℓ·R·C_e·e | constants,em,mechanics | m·ℓ²·R⁻²·C_e⁻¹·e⁻² | m = k₀ · ℓ⁻²·R²·C_e·e² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "2", "resistance": "-2", "capacitance": "-1", "elem_charge": "-2"} |
5 | bfield,inductance,length,mass,resistance | m·ℓ·R·L_e·B | em,mechanics | m·ℓ⁻²·R²·L_e⁻¹·B⁻² | m = k₀ · ℓ²·R⁻²·L_e·B² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "-2", "resistance": "2", "inductance": "-1", "bfield": "-2"} |
5 | inductance,length,mag_flux,mass,resistance | m·ℓ·R·L_e·Φ | em,mechanics | m·ℓ²·R²·L_e⁻¹·Φ⁻² | m = k₀ · ℓ⁻²·R⁻²·L_e·Φ² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "2", "resistance": "2", "inductance": "-1", "mag_flux": "-2"} |
6 | amount,inductance,length,mass,molar_energy,resistance | m·ℓ·R·L_e·n·E_m | chemistry,em,mechanics | m·ℓ²·R²·L_e⁻²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻²·R⁻²·L_e²·n·E_m | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "resistance": "2", "inductance": "-2", "amount": "-1", "molar_energy": "-1"} |
6 | concentration,inductance,length,mass,molar_energy,resistance | m·ℓ·R·L_e·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻¹·R²·L_e⁻²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ·R⁻²·L_e²·c_n·E_m | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-1", "resistance": "2", "inductance": "-2", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,gas_constant,inductance,length,mass,molar_energy,resistance | m·ℓ·R·L_e·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ²·R²·L_e⁻²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻²·R⁻²·L_e²·E_m·R⁻¹·k_B | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "resistance": "2", "inductance": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,inductance,length,mass,molar_energy,resistance | m·ℓ·R·L_e·E_m·z | chemistry,em,mechanics | m·ℓ²·R³·L_e⁻³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·R⁻³·L_e³·E_m·z | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "2", "resistance": "3", "inductance": "-3", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,inductance,length,mass,molar_energy,resistance | m·ℓ·R·L_e·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ²·R²·L_e⁻²·E_m⁻¹·N_A | m = k₀ · ℓ⁻²·R⁻²·L_e²·E_m·N_A⁻¹ | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "resistance": "2", "inductance": "-2", "molar_energy": "-1", "avogadro": "1"} |
5 | grav_const,inductance,length,mass,resistance | m·ℓ·R·L_e·G | constants,em,mechanics | m·ℓ⁻³·R⁻²·L_e²·G | m = k₀ · ℓ³·R²·L_e⁻²·G⁻¹ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "resistance": "-2", "inductance": "2", "grav_const": "1"} |
5 | inductance,length,mass,planck,resistance | m·ℓ·R·L_e·h | constants,em,mechanics | m·ℓ²·R·L_e⁻¹·h⁻¹ | m = k₀ · ℓ⁻²·R⁻¹·L_e·h | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "2", "resistance": "1", "inductance": "-1", "planck": "-1"} |
5 | bfield,efield,length,mass,resistance | m·ℓ·R·E_f·B | em,mechanics | m·ℓ⁻³·R·E_f·B⁻³ | m = k₀ · ℓ³·R⁻¹·E_f⁻¹·B³ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-3", "resistance": "1", "efield": "1", "bfield": "-3"} |
5 | efield,length,mag_flux,mass,resistance | m·ℓ·R·E_f·Φ | em,mechanics | m·ℓ³·R·E_f·Φ⁻³ | m = k₀ · ℓ⁻³·R⁻¹·E_f⁻¹·Φ³ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "resistance": "1", "efield": "1", "mag_flux": "-3"} |
5 | efield,length,mass,permittivity,resistance | m·ℓ·R·E_f·ε | em,mechanics | m·ℓ⁻³·R⁻²·E_f⁻²·ε⁻³ | m = k₀ · ℓ³·R²·E_f²·ε³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "length": "-3", "resistance": "-2", "efield": "-2", "permittivity": "-3"} |
5 | efield,length,mass,permeability,resistance | m·ℓ·R·E_f·μ₀ | em,mechanics | m·ℓ⁻³·R⁴·E_f⁻²·μ₀⁻³ | m = k₀ · ℓ³·R⁻⁴·E_f²·μ₀³ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "length": "-3", "resistance": "4", "efield": "-2", "permeability": "-3"} |
6 | amount,efield,length,mass,molar_energy,resistance | m·ℓ·R·E_f·n·E_m | chemistry,em,mechanics | m·ℓ⁶·R⁻²·E_f⁴·n⁻³·E_m⁻³ | m = k₀ · ℓ⁻⁶·R²·E_f⁻⁴·n³·E_m³ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "6", "resistance": "-2", "efield": "4", "amount": "-3", "molar_energy": "-3"} |
6 | efield,length,mass,molar_energy,molar_mass,resistance | m·ℓ·R·E_f·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁶·R²·E_f⁻⁴·M_m⁻³·E_m³ | m = k₀ · ℓ³·R⁻¹·E_f²·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "2", "length": "-6", "resistance": "2", "efield": "-4", "molar_mass": "-3", "molar_energy": "3"} |
6 | concentration,efield,length,mass,molar_energy,resistance | m·ℓ·R·E_f·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·R⁻²·E_f⁴·c_n⁻³·E_m⁻³ | m = k₀ · ℓ³·R²·E_f⁻⁴·c_n³·E_m³ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "1", "length": "-3", "resistance": "-2", "efield": "4", "concentration": "-3", "molar_energy": "-3"} |
6 | cat_activity,concentration,efield,length,mass,resistance | m·ℓ·R·E_f·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁹·R·E_f⁻²·c_n⁻³·z³ | m = k₀ · ℓ⁹·R⁻¹·E_f²·c_n³·z⁻³ | null | 0 | 3 | 9 | 19 | 18.3 | -9.3 | false | {"mass": "1", "length": "-9", "resistance": "1", "efield": "-2", "concentration": "-3", "cat_activity": "3"} |
7 | boltzmann,efield,gas_constant,length,mass,molar_energy,resistance | m·ℓ·R·E_f·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁶·R⁻²·E_f⁴·E_m⁻³·R³·k_B⁻³ | m = k₀ · ℓ⁻⁶·R²·E_f⁻⁴·E_m³·R⁻³·k_B³ | null | 1 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "6", "resistance": "-2", "efield": "4", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | avogadro,efield,length,mass,molar_energy,resistance | m·ℓ·R·E_f·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁶·R⁻²·E_f⁴·E_m⁻³·N_A³ | m = k₀ · ℓ⁻⁶·R²·E_f⁻⁴·E_m³·N_A⁻³ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "1", "length": "6", "resistance": "-2", "efield": "4", "molar_energy": "-3", "avogadro": "3"} |
5 | efield,length,light_speed,mass,resistance | m·ℓ·R·E_f·c₀ | constants,em,mechanics | m·ℓ⁻³·R·E_f⁻²·c₀³ | m = k₀ · ℓ³·R⁻¹·E_f²·c₀⁻³ | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "length": "-3", "resistance": "1", "efield": "-2", "light_speed": "3"} |
5 | efield,grav_const,length,mass,resistance | m·ℓ·R·E_f·G | constants,em,mechanics | m⁵·ℓ⁻⁹·R²·E_f⁻⁴·G³ | R = k₀ · m⁻⁵ᐟ²·ℓ⁹ᐟ²·E_f²·G⁻³ᐟ² | null | 1 | 3 | 9 | 23 | 20.8 | -11.8 | false | {"mass": "5", "length": "-9", "resistance": "2", "efield": "-4", "grav_const": "3"} |
5 | efield,length,mass,planck,resistance | m·ℓ·R·E_f·h | constants,em,mechanics | m²·ℓ⁶·R⁻¹·E_f²·h⁻³ | R = k₀ · m²·ℓ⁶·E_f²·h⁻³ | null | 1 | 3 | 6 | 14 | 13 | -4 | false | {"mass": "2", "length": "6", "resistance": "-1", "efield": "2", "planck": "-3"} |
5 | efield,elem_charge,length,mass,resistance | m·ℓ·R·E_f·e | constants,em,mechanics | m·ℓ³·R⁻²·E_f·e⁻³ | m = k₀ · ℓ⁻³·R²·E_f⁻¹·e³ | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "length": "3", "resistance": "-2", "efield": "1", "elem_charge": "-3"} |
5 | bfield,length,mass,permeability,resistance | m·ℓ·R·B·μ₀ | em,mechanics | m·ℓ⁻³·R²·B⁻²·μ₀⁻¹ | m = k₀ · ℓ³·R⁻²·B²·μ₀ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-3", "resistance": "2", "bfield": "-2", "permeability": "-1"} |
6 | amount,bfield,length,mass,molar_energy,resistance | m·ℓ·R·B·n·E_m | chemistry,em,mechanics | m·ℓ⁻⁶·R²·B⁻⁴·n·E_m | m = k₀ · ℓ⁶·R⁻²·B⁴·n⁻¹·E_m⁻¹ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "-6", "resistance": "2", "bfield": "-4", "amount": "1", "molar_energy": "1"} |
6 | amount,bfield,cat_activity,length,mass,resistance | m·ℓ·R·B·n·z | chemistry,em,mechanics | m·ℓ⁻²·R·B⁻²·n⁻¹·z | m = k₀ · ℓ²·R⁻¹·B²·n·z⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "resistance": "1", "bfield": "-2", "amount": "-1", "cat_activity": "1"} |
6 | bfield,length,mass,molar_energy,molar_mass,resistance | m·ℓ·R·B·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁶·R²·B⁻⁴·M_m⁻¹·E_m | M_m = k₀ · m²·ℓ⁻⁶·R²·B⁻⁴·E_m | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "2", "length": "-6", "resistance": "2", "bfield": "-4", "molar_mass": "-1", "molar_energy": "1"} |
6 | bfield,concentration,length,mass,molar_energy,resistance | m·ℓ·R·B·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·R²·B⁻⁴·c_n·E_m | m = k₀ · ℓ³·R⁻²·B⁴·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "-3", "resistance": "2", "bfield": "-4", "concentration": "1", "molar_energy": "1"} |
6 | bfield,cat_activity,concentration,length,mass,resistance | m·ℓ·R·B·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁵·R·B⁻²·c_n⁻¹·z | m = k₀ · ℓ⁵·R⁻¹·B²·c_n·z⁻¹ | null | 0 | 3 | 5 | 11 | 10.7 | -1.7 | false | {"mass": "1", "length": "-5", "resistance": "1", "bfield": "-2", "concentration": "-1", "cat_activity": "1"} |
7 | bfield,boltzmann,gas_constant,length,mass,molar_energy,resistance | m·ℓ·R·B·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁻⁶·R²·B⁻⁴·E_m·R⁻¹·k_B | m = k₀ · ℓ⁶·R⁻²·B⁴·E_m⁻¹·R·k_B⁻¹ | null | 1 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "length": "-6", "resistance": "2", "bfield": "-4", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"} |
6 | bfield,cat_activity,length,mass,molar_energy,resistance | m·ℓ·R·B·E_m·z | chemistry,em,mechanics | m²·ℓ⁻⁸·R³·B⁻⁶·E_m·z | E_m = k₀ · m⁻²·ℓ⁸·R⁻³·B⁶·z⁻¹ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "2", "length": "-8", "resistance": "3", "bfield": "-6", "molar_energy": "1", "cat_activity": "1"} |
6 | avogadro,bfield,length,mass,molar_energy,resistance | m·ℓ·R·B·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁻⁶·R²·B⁻⁴·E_m·N_A⁻¹ | m = k₀ · ℓ⁶·R⁻²·B⁴·E_m⁻¹·N_A | null | 1 | 4 | 6 | 15 | 14.6 | -6.1 | false | {"mass": "1", "length": "-6", "resistance": "2", "bfield": "-4", "molar_energy": "1", "avogadro": "-1"} |
7 | bfield,boltzmann,cat_activity,gas_constant,length,mass,resistance | m·ℓ·R·B·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻²·R·B⁻²·R·z·k_B⁻¹ | m = k₀ · ℓ²·R⁻¹·B²·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-2", "resistance": "1", "bfield": "-2", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,bfield,cat_activity,length,mass,resistance | m·ℓ·R·B·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻²·R·B⁻²·z·N_A | m = k₀ · ℓ²·R⁻¹·B²·z⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "-2", "resistance": "1", "bfield": "-2", "cat_activity": "1", "avogadro": "1"} |
5 | bfield,length,light_speed,mass,resistance | m·ℓ·R·B·c₀ | constants,em,mechanics | m·ℓ⁻³·R·B⁻²·c₀ | m = k₀ · ℓ³·R⁻¹·B²·c₀⁻¹ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "-3", "resistance": "1", "bfield": "-2", "light_speed": "1"} |
5 | bfield,grav_const,length,mass,resistance | m·ℓ·R·B·G | constants,em,mechanics | m³·ℓ⁻⁷·R²·B⁻⁴·G | G = k₀ · m⁻³·ℓ⁷·R⁻²·B⁴ | null | 1 | 3 | 7 | 17 | 15.6 | -6.6 | false | {"mass": "3", "length": "-7", "resistance": "2", "bfield": "-4", "grav_const": "1"} |
5 | length,mag_flux,mass,permeability,resistance | m·ℓ·R·Φ·μ₀ | em,mechanics | m·ℓ·R²·Φ⁻²·μ₀⁻¹ | m = k₀ · ℓ⁻¹·R⁻²·Φ²·μ₀ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "resistance": "2", "mag_flux": "-2", "permeability": "-1"} |
6 | amount,length,mag_flux,mass,molar_energy,resistance | m·ℓ·R·Φ·n·E_m | chemistry,em,mechanics | m·ℓ²·R²·Φ⁻⁴·n·E_m | m = k₀ · ℓ⁻²·R⁻²·Φ⁴·n⁻¹·E_m⁻¹ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "resistance": "2", "mag_flux": "-4", "amount": "1", "molar_energy": "1"} |
6 | amount,cat_activity,length,mag_flux,mass,resistance | m·ℓ·R·Φ·n·z | chemistry,em,mechanics | m·ℓ²·R·Φ⁻²·n⁻¹·z | m = k₀ · ℓ⁻²·R⁻¹·Φ²·n·z⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "resistance": "1", "mag_flux": "-2", "amount": "-1", "cat_activity": "1"} |
6 | length,mag_flux,mass,molar_energy,molar_mass,resistance | m·ℓ·R·Φ·M_m·E_m | chemistry,em,mechanics | m²·ℓ²·R²·Φ⁻⁴·M_m⁻¹·E_m | M_m = k₀ · m²·ℓ²·R²·Φ⁻⁴·E_m | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "length": "2", "resistance": "2", "mag_flux": "-4", "molar_mass": "-1", "molar_energy": "1"} |
6 | concentration,length,mag_flux,mass,molar_energy,resistance | m·ℓ·R·Φ·c_n·E_m | chemistry,em,mechanics | m·ℓ⁵·R²·Φ⁻⁴·c_n·E_m | m = k₀ · ℓ⁻⁵·R⁻²·Φ⁴·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "5", "resistance": "2", "mag_flux": "-4", "concentration": "1", "molar_energy": "1"} |
6 | cat_activity,concentration,length,mag_flux,mass,resistance | m·ℓ·R·Φ·c_n·z | chemistry,em,mechanics | m·ℓ⁻¹·R·Φ⁻²·c_n⁻¹·z | m = k₀ · ℓ·R⁻¹·Φ²·c_n·z⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "resistance": "1", "mag_flux": "-2", "concentration": "-1", "cat_activity": "1"} |
7 | boltzmann,gas_constant,length,mag_flux,mass,molar_energy,resistance | m·ℓ·R·Φ·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ²·R²·Φ⁻⁴·E_m·R⁻¹·k_B | m = k₀ · ℓ⁻²·R⁻²·Φ⁴·E_m⁻¹·R·k_B⁻¹ | null | 1 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "2", "resistance": "2", "mag_flux": "-4", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"} |
6 | cat_activity,length,mag_flux,mass,molar_energy,resistance | m·ℓ·R·Φ·E_m·z | chemistry,em,mechanics | m²·ℓ⁴·R³·Φ⁻⁶·E_m·z | E_m = k₀ · m⁻²·ℓ⁻⁴·R⁻³·Φ⁶·z⁻¹ | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "2", "length": "4", "resistance": "3", "mag_flux": "-6", "molar_energy": "1", "cat_activity": "1"} |
6 | avogadro,length,mag_flux,mass,molar_energy,resistance | m·ℓ·R·Φ·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ²·R²·Φ⁻⁴·E_m·N_A⁻¹ | m = k₀ · ℓ⁻²·R⁻²·Φ⁴·E_m⁻¹·N_A | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "resistance": "2", "mag_flux": "-4", "molar_energy": "1", "avogadro": "-1"} |
7 | boltzmann,cat_activity,gas_constant,length,mag_flux,mass,resistance | m·ℓ·R·Φ·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ²·R·Φ⁻²·R·z·k_B⁻¹ | m = k₀ · ℓ⁻²·R⁻¹·Φ²·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "resistance": "1", "mag_flux": "-2", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,cat_activity,length,mag_flux,mass,resistance | m·ℓ·R·Φ·z·N_A | chemistry,constants,em,mechanics | m·ℓ²·R·Φ⁻²·z·N_A | m = k₀ · ℓ⁻²·R⁻¹·Φ²·z⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "resistance": "1", "mag_flux": "-2", "cat_activity": "1", "avogadro": "1"} |
5 | length,light_speed,mag_flux,mass,resistance | m·ℓ·R·Φ·c₀ | constants,em,mechanics | m·ℓ·R·Φ⁻²·c₀ | m = k₀ · ℓ⁻¹·R⁻¹·Φ²·c₀⁻¹ | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "1", "resistance": "1", "mag_flux": "-2", "light_speed": "1"} |
5 | grav_const,length,mag_flux,mass,resistance | m·ℓ·R·Φ·G | constants,em,mechanics | m³·ℓ·R²·Φ⁻⁴·G | ℓ = k₀ · m⁻³·R⁻²·Φ⁴·G⁻¹ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "3", "length": "1", "resistance": "2", "mag_flux": "-4", "grav_const": "1"} |
6 | cat_activity,length,mass,molar_mass,permittivity,resistance | m·ℓ·R·ε·M_m·z | chemistry,em,mechanics | m·ℓ⁻¹·R⁻¹·ε⁻¹·M_m⁻¹·z⁻¹ | m = k₀ · ℓ·R·ε·M_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "resistance": "-1", "permittivity": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,length,mass,molar_energy,permittivity,resistance | m·ℓ·R·ε·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·R⁻²·ε⁻²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ³·R²·ε²·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-3", "resistance": "-2", "permittivity": "-2", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,length,mass,molar_energy,permittivity,resistance | m·ℓ·R·ε·E_m·z | chemistry,em,mechanics | m·ℓ⁻¹·R⁻³·ε⁻³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ·R³·ε³·E_m·z | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-1", "resistance": "-3", "permittivity": "-3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | grav_const,length,mass,permittivity,resistance | m·ℓ·R·ε·G | constants,em,mechanics | m·ℓ⁻¹·R²·ε²·G | m = k₀ · ℓ·R⁻²·ε⁻²·G⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "resistance": "2", "permittivity": "2", "grav_const": "1"} |
5 | length,mass,permittivity,planck,resistance | m·ℓ·R·ε·h | constants,em,mechanics | m·ℓ·R⁻¹·ε⁻¹·h⁻¹ | m = k₀ · ℓ⁻¹·R·ε·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "1", "resistance": "-1", "permittivity": "-1", "planck": "-1"} |
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