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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6 | conductivity,lum_intensity,luminance,mag_flux,mass,time | m·t·Φ·σ·I_v·L_v | em,mechanics,photometry | m²·t⁻²·Φ⁻⁴·σ⁻²·I_v·L_v⁻¹ | I_v = k₀ · m⁻²·t²·Φ⁴·σ²·L_v | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-2", "mag_flux": "-4", "conductivity": "-2", "lum_intensity": "1", "luminance": "-1"} |
5 | conductivity,grav_const,mag_flux,mass,time | m·t·Φ·σ·G | constants,em,mechanics | m⁴·t⁻¹·Φ⁻⁶·σ⁻³·G | t = k₀ · m⁴·Φ⁻⁶·σ⁻³·G | null | 1 | 3 | 6 | 15 | 13.7 | -4.7 | false | {"mass": "4", "time": "-1", "mag_flux": "-6", "conductivity": "-3", "grav_const": "1"} |
5 | conductivity,mag_flux,mass,planck,time | m·t·Φ·σ·h | constants,em,mechanics | m·t⁻¹·Φ⁻⁴·σ⁻²·h | m = k₀ · t·Φ⁴·σ²·h⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "time": "-1", "mag_flux": "-4", "conductivity": "-2", "planck": "1"} |
5 | conductivity,elem_charge,mag_flux,mass,time | m·t·Φ·σ·e | constants,em,mechanics | m·t⁻¹·Φ⁻³·σ⁻²·e | m = k₀ · t·Φ³·σ²·e⁻¹ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "-1", "mag_flux": "-3", "conductivity": "-2", "elem_charge": "1"} |
6 | amount,concentration,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·n·c_n | chemistry,em,mechanics | m³·t⁻³·Φ⁻⁶·ρ_e³·n·c_n⁻¹ | n = k₀ · m⁻³·t³·Φ⁶·ρ_e⁻³·c_n | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "3", "time": "-3", "mag_flux": "-6", "resistivity": "3", "amount": "1", "concentration": "-1"} |
6 | concentration,mag_flux,mass,molar_mass,resistivity,time | m·t·Φ·ρ_e·M_m·c_n | chemistry,em,mechanics | m⁴·t⁻³·Φ⁻⁶·ρ_e³·M_m⁻¹·c_n⁻¹ | M_m = k₀ · m⁴·t⁻³·Φ⁻⁶·ρ_e³·c_n⁻¹ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "4", "time": "-3", "mag_flux": "-6", "resistivity": "3", "molar_mass": "-1", "concentration": "-1"} |
6 | concentration,mag_flux,mass,molar_energy,resistivity,time | m·t·Φ·ρ_e·c_n·E_m | chemistry,em,mechanics | m²·t⁻³·Φ⁻²·ρ_e·c_n⁻¹·E_m⁻¹ | ρ_e = k₀ · m⁻²·t³·Φ²·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "2", "time": "-3", "mag_flux": "-2", "resistivity": "1", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,concentration,gas_constant,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·c_n·R·k_B | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻⁶·ρ_e³·c_n⁻¹·R⁻¹·k_B | c_n = k₀ · m³·t⁻³·Φ⁻⁶·ρ_e³·R⁻¹·k_B | null | 1 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "time": "-3", "mag_flux": "-6", "resistivity": "3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"} |
6 | cat_activity,concentration,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·c_n·z | chemistry,em,mechanics | m³·t⁻²·Φ⁻⁶·ρ_e³·c_n⁻¹·z | c_n = k₀ · m³·t⁻²·Φ⁻⁶·ρ_e³·z | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "3", "time": "-2", "mag_flux": "-6", "resistivity": "3", "concentration": "-1", "cat_activity": "1"} |
6 | avogadro,concentration,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·c_n·N_A | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻⁶·ρ_e³·c_n⁻¹·N_A⁻¹ | c_n = k₀ · m³·t⁻³·Φ⁻⁶·ρ_e³·N_A⁻¹ | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "3", "time": "-3", "mag_flux": "-6", "resistivity": "3", "concentration": "-1", "avogadro": "-1"} |
6 | cat_activity,mag_flux,mass,molar_energy,resistivity,time | m·t·Φ·ρ_e·E_m·z | chemistry,em,mechanics | m·t·Φ⁻⁴·ρ_e²·E_m·z | m = k₀ · t⁻¹·Φ⁴·ρ_e⁻²·E_m⁻¹·z⁻¹ | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "time": "1", "mag_flux": "-4", "resistivity": "2", "molar_energy": "1", "cat_activity": "1"} |
6 | illuminance,lum_intensity,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·I_v·E_v | em,mechanics,photometry | m²·t⁻²·Φ⁻⁴·ρ_e²·I_v·E_v⁻¹ | I_v = k₀ · m⁻²·t²·Φ⁴·ρ_e⁻²·E_v | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-2", "mag_flux": "-4", "resistivity": "2", "lum_intensity": "1", "illuminance": "-1"} |
6 | lum_intensity,luminance,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·I_v·L_v | em,mechanics,photometry | m²·t⁻²·Φ⁻⁴·ρ_e²·I_v·L_v⁻¹ | I_v = k₀ · m⁻²·t²·Φ⁴·ρ_e⁻²·L_v | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-2", "mag_flux": "-4", "resistivity": "2", "lum_intensity": "1", "luminance": "-1"} |
5 | grav_const,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·G | constants,em,mechanics | m⁴·t⁻¹·Φ⁻⁶·ρ_e³·G | t = k₀ · m⁴·Φ⁻⁶·ρ_e³·G | null | 1 | 3 | 6 | 15 | 13.7 | -4.7 | false | {"mass": "4", "time": "-1", "mag_flux": "-6", "resistivity": "3", "grav_const": "1"} |
5 | mag_flux,mass,planck,resistivity,time | m·t·Φ·ρ_e·h | constants,em,mechanics | m·t⁻¹·Φ⁻⁴·ρ_e²·h | m = k₀ · t·Φ⁴·ρ_e⁻²·h⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "time": "-1", "mag_flux": "-4", "resistivity": "2", "planck": "1"} |
5 | elem_charge,mag_flux,mass,resistivity,time | m·t·Φ·ρ_e·e | constants,em,mechanics | m·t⁻¹·Φ⁻³·ρ_e²·e | m = k₀ · t·Φ³·ρ_e⁻²·e⁻¹ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "-1", "mag_flux": "-3", "resistivity": "2", "elem_charge": "1"} |
6 | amount,concentration,elem_charge,mag_flux,mass,time | m·t·Φ·n·c_n·e | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻³·n²·c_n⁻²·e⁻³ | n = k₀ · m⁻³ᐟ²·t³ᐟ²·Φ³ᐟ²·c_n·e³ᐟ² | null | 1 | 4 | 3 | 16 | 13.8 | -5.3 | false | {"mass": "3", "time": "-3", "mag_flux": "-3", "amount": "2", "concentration": "-2", "elem_charge": "-3"} |
6 | concentration,elem_charge,mag_flux,mass,molar_mass,time | m·t·Φ·M_m·c_n·e | chemistry,constants,em,mechanics | m⁵·t⁻³·Φ⁻³·M_m⁻²·c_n⁻²·e⁻³ | M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·Φ⁻³ᐟ²·c_n⁻¹·e⁻³ᐟ² | null | 1 | 4 | 5 | 18 | 16.2 | -7.7 | false | {"mass": "5", "time": "-3", "mag_flux": "-3", "molar_mass": "-2", "concentration": "-2", "elem_charge": "-3"} |
6 | elem_charge,mag_flux,mass,molar_energy,molar_mass,time | m·t·Φ·M_m·E_m·e | chemistry,constants,em,mechanics | m·t·Φ⁻¹·M_m⁻¹·E_m·e⁻¹ | m = k₀ · t⁻¹·Φ·M_m·E_m⁻¹·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "1", "mag_flux": "-1", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-1"} |
6 | concentration,elem_charge,mag_flux,mass,molar_energy,time | m·t·Φ·c_n·E_m·e | chemistry,constants,em,mechanics | m³·t⁻⁵·Φ⁻¹·c_n⁻²·E_m⁻²·e⁻¹ | Φ = k₀ · m³·t⁻⁵·c_n⁻²·E_m⁻²·e⁻¹ | null | 1 | 4 | 5 | 14 | 13.4 | -4.9 | false | {"mass": "3", "time": "-5", "mag_flux": "-1", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-1"} |
7 | boltzmann,concentration,elem_charge,gas_constant,mag_flux,mass,time | m·t·Φ·c_n·R·k_B·e | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻³·c_n⁻²·R⁻²·k_B²·e⁻³ | c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·Φ⁻³ᐟ²·R⁻¹·k_B·e⁻³ᐟ² | null | 2 | 4 | 3 | 18 | 16.5 | -9.5 | false | {"mass": "3", "time": "-3", "mag_flux": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-3"} |
6 | cat_activity,concentration,elem_charge,mag_flux,mass,time | m·t·Φ·c_n·z·e | chemistry,constants,em,mechanics | m³·t⁻¹·Φ⁻³·c_n⁻²·z²·e⁻³ | t = k₀ · m³·Φ⁻³·c_n⁻²·z²·e⁻³ | null | 1 | 4 | 3 | 14 | 12.4 | -3.9 | false | {"mass": "3", "time": "-1", "mag_flux": "-3", "concentration": "-2", "cat_activity": "2", "elem_charge": "-3"} |
6 | avogadro,concentration,elem_charge,mag_flux,mass,time | m·t·Φ·c_n·e·N_A | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻³·c_n⁻²·e⁻³·N_A⁻² | c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·Φ⁻³ᐟ²·e⁻³ᐟ²·N_A⁻¹ | null | 2 | 4 | 3 | 16 | 14.8 | -7.8 | false | {"mass": "3", "time": "-3", "mag_flux": "-3", "concentration": "-2", "elem_charge": "-3", "avogadro": "-2"} |
6 | elem_charge,illuminance,lum_intensity,mag_flux,mass,time | m·t·Φ·I_v·E_v·e | constants,em,mechanics,photometry | m·t⁻¹·Φ⁻¹·I_v·E_v⁻¹·e⁻¹ | m = k₀ · t·Φ·I_v⁻¹·E_v·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "-1", "mag_flux": "-1", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-1"} |
6 | elem_charge,lum_intensity,luminance,mag_flux,mass,time | m·t·Φ·I_v·L_v·e | constants,em,mechanics,photometry | m·t⁻¹·Φ⁻¹·I_v·L_v⁻¹·e⁻¹ | m = k₀ · t·Φ·I_v⁻¹·L_v·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "-1", "mag_flux": "-1", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-1"} |
5 | elem_charge,light_speed,mag_flux,mass,time | m·t·Φ·c₀·e | constants,em,mechanics | m·t·Φ⁻¹·c₀²·e⁻¹ | m = k₀ · t⁻¹·Φ·c₀⁻²·e | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "1", "time": "1", "mag_flux": "-1", "light_speed": "2", "elem_charge": "-1"} |
5 | elem_charge,grav_const,mag_flux,mass,time | m·t·Φ·G·e | constants,em,mechanics | m⁵·t·Φ⁻³·G²·e⁻³ | t = k₀ · m⁻⁵·Φ³·G⁻²·e³ | null | 2 | 3 | 5 | 14 | 13.5 | -6 | false | {"mass": "5", "time": "1", "mag_flux": "-3", "grav_const": "2", "elem_charge": "-3"} |
6 | concentration,mass,molar_mass,permeability,permittivity,time | m·t·ε·μ₀·M_m·c_n | chemistry,em,mechanics | m²·t⁻⁶·ε³·μ₀³·M_m⁻²·c_n⁻² | m = k₀ · t³·ε⁻³ᐟ²·μ₀⁻³ᐟ²·M_m·c_n | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "2", "time": "-6", "permittivity": "3", "permeability": "3", "molar_mass": "-2", "concentration": "-2"} |
6 | concentration,mass,molar_energy,permeability,permittivity,time | m·t·ε·μ₀·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁶·ε·μ₀·c_n⁻²·E_m⁻² | ε = k₀ · m⁻²·t⁶·μ₀⁻¹·c_n²·E_m² | null | 0 | 3 | 6 | 14 | 13.3 | -4.3 | false | {"mass": "2", "time": "-6", "permittivity": "1", "permeability": "1", "concentration": "-2", "molar_energy": "-2"} |
6 | cat_activity,mass,molar_energy,permeability,permittivity,time | m·t·ε·μ₀·E_m·z | chemistry,em,mechanics | m·t⁻¹·ε⁻¹·μ₀⁻¹·E_m⁻¹·z⁻¹ | m = k₀ · t·ε·μ₀·E_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "time": "-1", "permittivity": "-1", "permeability": "-1", "molar_energy": "-1", "cat_activity": "-1"} |
5 | grav_const,mass,permeability,permittivity,time | m·t·ε·μ₀·G | constants,em,mechanics | m²·t⁻²·ε³·μ₀³·G² | m = k₀ · t·ε⁻³ᐟ²·μ₀⁻³ᐟ²·G⁻¹ | null | 1 | 3 | 3 | 12 | 10.1 | -1.1 | false | {"mass": "2", "time": "-2", "permittivity": "3", "permeability": "3", "grav_const": "2"} |
5 | mass,permeability,permittivity,planck,time | m·t·ε·μ₀·h | constants,em,mechanics | m·t·ε⁻¹·μ₀⁻¹·h⁻¹ | m = k₀ · t⁻¹·ε·μ₀·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "1", "permittivity": "-1", "permeability": "-1", "planck": "-1"} |
5 | elem_charge,mass,permeability,permittivity,time | m·t·ε·μ₀·e | constants,em,mechanics | m²·t²·ε⁻¹·μ₀⁻³·e⁻⁴ | ε = k₀ · m²·t²·μ₀⁻³·e⁻⁴ | null | 1 | 3 | 4 | 12 | 10.6 | -1.6 | false | {"mass": "2", "time": "2", "permittivity": "-1", "permeability": "-3", "elem_charge": "-4"} |
6 | amount,concentration,elem_charge,mass,permittivity,time | m·t·ε·n·c_n·e | chemistry,constants,em,mechanics | m·t⁻²·ε·n·c_n⁻¹·e⁻² | m = k₀ · t²·ε⁻¹·n⁻¹·c_n·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "time": "-2", "permittivity": "1", "amount": "1", "concentration": "-1", "elem_charge": "-2"} |
6 | amount,elem_charge,mass,molar_energy,permittivity,time | m·t·ε·n·E_m·e | chemistry,constants,em,mechanics | m·t⁻²·ε⁻²·n⁻³·E_m⁻³·e⁴ | m = k₀ · t²·ε²·n³·E_m³·e⁻⁴ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "time": "-2", "permittivity": "-2", "amount": "-3", "molar_energy": "-3", "elem_charge": "4"} |
6 | concentration,elem_charge,mass,molar_mass,permittivity,time | m·t·ε·M_m·c_n·e | chemistry,constants,em,mechanics | m²·t⁻²·ε·M_m⁻¹·c_n⁻¹·e⁻² | ε = k₀ · m⁻²·t²·M_m·c_n·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "2", "time": "-2", "permittivity": "1", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-2"} |
6 | elem_charge,mass,molar_energy,molar_mass,permittivity,time | m·t·ε·M_m·E_m·e | chemistry,constants,em,mechanics | m²·t²·ε²·M_m⁻³·E_m³·e⁻⁴ | m = k₀ · t⁻¹·ε⁻¹·M_m³ᐟ²·E_m⁻³ᐟ²·e² | null | 1 | 4 | 4 | 16 | 14.3 | -5.8 | false | {"mass": "2", "time": "2", "permittivity": "2", "molar_mass": "-3", "molar_energy": "3", "elem_charge": "-4"} |
6 | concentration,elem_charge,mass,molar_energy,permittivity,time | m·t·ε·c_n·E_m·e | chemistry,constants,em,mechanics | m⁴·t⁻⁸·ε·c_n⁻³·E_m⁻³·e⁻² | ε = k₀ · m⁻⁴·t⁸·c_n³·E_m³·e² | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "4", "time": "-8", "permittivity": "1", "concentration": "-3", "molar_energy": "-3", "elem_charge": "-2"} |
7 | boltzmann,concentration,elem_charge,gas_constant,mass,permittivity,time | m·t·ε·c_n·R·k_B·e | chemistry,constants,em,mechanics | m·t⁻²·ε·c_n⁻¹·R⁻¹·k_B·e⁻² | m = k₀ · t²·ε⁻¹·c_n·R·k_B⁻¹·e² | null | 2 | 4 | 2 | 9 | 9.7 | -2.7 | false | {"mass": "1", "time": "-2", "permittivity": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | cat_activity,concentration,elem_charge,mass,permittivity,time | m·t·ε·c_n·z·e | chemistry,constants,em,mechanics | m·t⁻¹·ε·c_n⁻¹·z·e⁻² | m = k₀ · t·ε⁻¹·c_n·z⁻¹·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-1", "permittivity": "1", "concentration": "-1", "cat_activity": "1", "elem_charge": "-2"} |
6 | avogadro,concentration,elem_charge,mass,permittivity,time | m·t·ε·c_n·e·N_A | chemistry,constants,em,mechanics | m·t⁻²·ε·c_n⁻¹·e⁻²·N_A⁻¹ | m = k₀ · t²·ε⁻¹·c_n·e²·N_A | null | 2 | 4 | 2 | 8 | 8.7 | -1.7 | false | {"mass": "1", "time": "-2", "permittivity": "1", "concentration": "-1", "elem_charge": "-2", "avogadro": "-1"} |
7 | boltzmann,elem_charge,gas_constant,mass,molar_energy,permittivity,time | m·t·ε·E_m·R·k_B·e | chemistry,constants,em,mechanics | m·t⁻²·ε⁻²·E_m⁻³·R³·k_B⁻³·e⁴ | m = k₀ · t²·ε²·E_m³·R⁻³·k_B³·e⁻⁴ | null | 2 | 4 | 4 | 18 | 17 | -10 | false | {"mass": "1", "time": "-2", "permittivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3", "elem_charge": "4"} |
6 | cat_activity,elem_charge,mass,molar_energy,permittivity,time | m·t·ε·E_m·z·e | chemistry,constants,em,mechanics | m·t⁻⁵·ε⁻²·E_m⁻³·z⁻³·e⁴ | m = k₀ · t⁵·ε²·E_m³·z³·e⁻⁴ | null | 1 | 4 | 5 | 18 | 16.2 | -7.7 | false | {"mass": "1", "time": "-5", "permittivity": "-2", "molar_energy": "-3", "cat_activity": "-3", "elem_charge": "4"} |
6 | avogadro,elem_charge,mass,molar_energy,permittivity,time | m·t·ε·E_m·e·N_A | chemistry,constants,em,mechanics | m·t⁻²·ε⁻²·E_m⁻³·e⁴·N_A³ | m = k₀ · t²·ε²·E_m³·e⁻⁴·N_A⁻³ | null | 2 | 4 | 4 | 15 | 14.6 | -7.6 | false | {"mass": "1", "time": "-2", "permittivity": "-2", "molar_energy": "-3", "elem_charge": "4", "avogadro": "3"} |
6 | elem_charge,illuminance,lum_intensity,mass,permittivity,time | m·t·ε·I_v·E_v·e | constants,em,mechanics,photometry | m²·t⁻⁴·ε²·I_v³·E_v⁻³·e⁻⁴ | m = k₀ · t²·ε⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²·e² | null | 1 | 4 | 4 | 18 | 15.7 | -7.2 | false | {"mass": "2", "time": "-4", "permittivity": "2", "lum_intensity": "3", "illuminance": "-3", "elem_charge": "-4"} |
6 | elem_charge,lum_intensity,luminance,mass,permittivity,time | m·t·ε·I_v·L_v·e | constants,em,mechanics,photometry | m²·t⁻⁴·ε²·I_v³·L_v⁻³·e⁻⁴ | m = k₀ · t²·ε⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²·e² | null | 1 | 4 | 4 | 18 | 15.7 | -7.2 | false | {"mass": "2", "time": "-4", "permittivity": "2", "lum_intensity": "3", "luminance": "-3", "elem_charge": "-4"} |
5 | elem_charge,light_speed,mass,permittivity,time | m·t·ε·c₀·e | constants,em,mechanics | m·t·ε·c₀³·e⁻² | m = k₀ · t⁻¹·ε⁻¹·c₀⁻³·e² | null | 2 | 3 | 3 | 8 | 8.3 | -0.8 | false | {"mass": "1", "time": "1", "permittivity": "1", "light_speed": "3", "elem_charge": "-2"} |
5 | elem_charge,mass,permittivity,planck,time | m·t·ε·h·e | constants,em,mechanics | m·t·ε⁻²·h⁻³·e⁴ | m = k₀ · t⁻¹·ε²·h³·e⁻⁴ | null | 2 | 3 | 4 | 11 | 10.9 | -3.4 | false | {"mass": "1", "time": "1", "permittivity": "-2", "planck": "-3", "elem_charge": "4"} |
6 | amount,conductivity,mass,molar_energy,permeability,time | m·t·μ₀·σ·n·E_m | chemistry,em,mechanics | m·t⁻¹·μ₀⁻¹·σ⁻¹·n⁻¹·E_m⁻¹ | m = k₀ · t·μ₀·σ·n·E_m | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "time": "-1", "permeability": "-1", "conductivity": "-1", "amount": "-1", "molar_energy": "-1"} |
6 | concentration,conductivity,mass,molar_mass,permeability,time | m·t·μ₀·σ·M_m·c_n | chemistry,em,mechanics | m²·t⁻³·μ₀³·σ³·M_m⁻²·c_n⁻² | m = k₀ · t³ᐟ²·μ₀⁻³ᐟ²·σ⁻³ᐟ²·M_m·c_n | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "2", "time": "-3", "permeability": "3", "conductivity": "3", "molar_mass": "-2", "concentration": "-2"} |
6 | concentration,conductivity,mass,molar_energy,permeability,time | m·t·μ₀·σ·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁵·μ₀·σ·c_n⁻²·E_m⁻² | μ₀ = k₀ · m⁻²·t⁵·σ⁻¹·c_n²·E_m² | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "2", "time": "-5", "permeability": "1", "conductivity": "1", "concentration": "-2", "molar_energy": "-2"} |
7 | boltzmann,conductivity,gas_constant,mass,molar_energy,permeability,time | m·t·μ₀·σ·E_m·R·k_B | chemistry,constants,em,mechanics | m·t⁻¹·μ₀⁻¹·σ⁻¹·E_m⁻¹·R·k_B⁻¹ | m = k₀ · t·μ₀·σ·E_m·R⁻¹·k_B | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "time": "-1", "permeability": "-1", "conductivity": "-1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,conductivity,mass,molar_energy,permeability,time | m·t·μ₀·σ·E_m·z | chemistry,em,mechanics | m·t⁻²·μ₀⁻¹·σ⁻¹·E_m⁻¹·z⁻¹ | m = k₀ · t²·μ₀·σ·E_m·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "permeability": "-1", "conductivity": "-1", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,conductivity,mass,molar_energy,permeability,time | m·t·μ₀·σ·E_m·N_A | chemistry,constants,em,mechanics | m·t⁻¹·μ₀⁻¹·σ⁻¹·E_m⁻¹·N_A | m = k₀ · t·μ₀·σ·E_m·N_A⁻¹ | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "-1", "permeability": "-1", "conductivity": "-1", "molar_energy": "-1", "avogadro": "1"} |
5 | conductivity,grav_const,mass,permeability,time | m·t·μ₀·σ·G | constants,em,mechanics | m²·t·μ₀³·σ³·G² | t = k₀ · m⁻²·μ₀⁻³·σ⁻³·G⁻² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "2", "time": "1", "permeability": "3", "conductivity": "3", "grav_const": "2"} |
5 | conductivity,elem_charge,mass,permeability,time | m·t·μ₀·σ·e | constants,em,mechanics | m²·t·μ₀⁻³·σ⁻¹·e⁻⁴ | t = k₀ · m⁻²·μ₀³·σ·e⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "2", "time": "1", "permeability": "-3", "conductivity": "-1", "elem_charge": "-4"} |
6 | amount,mass,molar_energy,permeability,resistivity,time | m·t·μ₀·ρ_e·n·E_m | chemistry,em,mechanics | m·t⁻¹·μ₀⁻¹·ρ_e·n⁻¹·E_m⁻¹ | m = k₀ · t·μ₀·ρ_e⁻¹·n·E_m | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "time": "-1", "permeability": "-1", "resistivity": "1", "amount": "-1", "molar_energy": "-1"} |
6 | concentration,mass,molar_mass,permeability,resistivity,time | m·t·μ₀·ρ_e·M_m·c_n | chemistry,em,mechanics | m²·t⁻³·μ₀³·ρ_e⁻³·M_m⁻²·c_n⁻² | m = k₀ · t³ᐟ²·μ₀⁻³ᐟ²·ρ_e³ᐟ²·M_m·c_n | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "2", "time": "-3", "permeability": "3", "resistivity": "-3", "molar_mass": "-2", "concentration": "-2"} |
6 | concentration,mass,molar_energy,permeability,resistivity,time | m·t·μ₀·ρ_e·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁵·μ₀·ρ_e⁻¹·c_n⁻²·E_m⁻² | μ₀ = k₀ · m⁻²·t⁵·ρ_e·c_n²·E_m² | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "2", "time": "-5", "permeability": "1", "resistivity": "-1", "concentration": "-2", "molar_energy": "-2"} |
7 | boltzmann,gas_constant,mass,molar_energy,permeability,resistivity,time | m·t·μ₀·ρ_e·E_m·R·k_B | chemistry,constants,em,mechanics | m·t⁻¹·μ₀⁻¹·ρ_e·E_m⁻¹·R·k_B⁻¹ | m = k₀ · t·μ₀·ρ_e⁻¹·E_m·R⁻¹·k_B | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "time": "-1", "permeability": "-1", "resistivity": "1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,mass,molar_energy,permeability,resistivity,time | m·t·μ₀·ρ_e·E_m·z | chemistry,em,mechanics | m·t⁻²·μ₀⁻¹·ρ_e·E_m⁻¹·z⁻¹ | m = k₀ · t²·μ₀·ρ_e⁻¹·E_m·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "permeability": "-1", "resistivity": "1", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,mass,molar_energy,permeability,resistivity,time | m·t·μ₀·ρ_e·E_m·N_A | chemistry,constants,em,mechanics | m·t⁻¹·μ₀⁻¹·ρ_e·E_m⁻¹·N_A | m = k₀ · t·μ₀·ρ_e⁻¹·E_m·N_A⁻¹ | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "-1", "permeability": "-1", "resistivity": "1", "molar_energy": "-1", "avogadro": "1"} |
5 | grav_const,mass,permeability,resistivity,time | m·t·μ₀·ρ_e·G | constants,em,mechanics | m²·t·μ₀³·ρ_e⁻³·G² | t = k₀ · m⁻²·μ₀⁻³·ρ_e³·G⁻² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "2", "time": "1", "permeability": "3", "resistivity": "-3", "grav_const": "2"} |
5 | elem_charge,mass,permeability,resistivity,time | m·t·μ₀·ρ_e·e | constants,em,mechanics | m²·t·μ₀⁻³·ρ_e·e⁻⁴ | t = k₀ · m⁻²·μ₀³·ρ_e⁻¹·e⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "2", "time": "1", "permeability": "-3", "resistivity": "1", "elem_charge": "-4"} |
6 | amount,elem_charge,mass,molar_energy,permeability,time | m·t·μ₀·n·E_m·e | chemistry,constants,em,mechanics | m·t²·μ₀⁻²·n·E_m·e⁻⁴ | m = k₀ · t⁻²·μ₀²·n⁻¹·E_m⁻¹·e⁴ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "time": "2", "permeability": "-2", "amount": "1", "molar_energy": "1", "elem_charge": "-4"} |
6 | elem_charge,mass,molar_energy,molar_mass,permeability,time | m·t·μ₀·M_m·E_m·e | chemistry,constants,em,mechanics | m²·t²·μ₀⁻²·M_m⁻¹·E_m·e⁻⁴ | M_m = k₀ · m²·t²·μ₀⁻²·E_m·e⁻⁴ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "2", "time": "2", "permeability": "-2", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-4"} |
6 | concentration,elem_charge,mass,molar_energy,permeability,time | m·t·μ₀·c_n·E_m·e | chemistry,constants,em,mechanics | m²·t⁻²·μ₀⁻¹·c_n⁻¹·E_m⁻¹·e⁻² | μ₀ = k₀ · m²·t⁻²·c_n⁻¹·E_m⁻¹·e⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "2", "time": "-2", "permeability": "-1", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-2"} |
6 | cat_activity,concentration,elem_charge,mass,permeability,time | m·t·μ₀·c_n·z·e | chemistry,constants,em,mechanics | m³·t·μ₀⁻³·c_n⁻¹·z·e⁻⁶ | t = k₀ · m⁻³·μ₀³·c_n·z⁻¹·e⁶ | null | 1 | 4 | 6 | 15 | 14.6 | -6.1 | false | {"mass": "3", "time": "1", "permeability": "-3", "concentration": "-1", "cat_activity": "1", "elem_charge": "-6"} |
7 | boltzmann,elem_charge,gas_constant,mass,molar_energy,permeability,time | m·t·μ₀·E_m·R·k_B·e | chemistry,constants,em,mechanics | m·t²·μ₀⁻²·E_m·R⁻¹·k_B·e⁻⁴ | m = k₀ · t⁻²·μ₀²·E_m⁻¹·R·k_B⁻¹·e⁴ | null | 2 | 4 | 4 | 12 | 12.8 | -5.8 | false | {"mass": "1", "time": "2", "permeability": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-4"} |
6 | cat_activity,elem_charge,mass,molar_energy,permeability,time | m·t·μ₀·E_m·z·e | chemistry,constants,em,mechanics | m·t³·μ₀⁻²·E_m·z·e⁻⁴ | m = k₀ · t⁻³·μ₀²·E_m⁻¹·z⁻¹·e⁴ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "time": "3", "permeability": "-2", "molar_energy": "1", "cat_activity": "1", "elem_charge": "-4"} |
6 | avogadro,elem_charge,mass,molar_energy,permeability,time | m·t·μ₀·E_m·e·N_A | chemistry,constants,em,mechanics | m·t²·μ₀⁻²·E_m·e⁻⁴·N_A⁻¹ | m = k₀ · t⁻²·μ₀²·E_m⁻¹·e⁴·N_A | null | 2 | 4 | 4 | 11 | 11.8 | -4.8 | false | {"mass": "1", "time": "2", "permeability": "-2", "molar_energy": "1", "elem_charge": "-4", "avogadro": "-1"} |
5 | elem_charge,light_speed,mass,permeability,time | m·t·μ₀·c₀·e | constants,em,mechanics | m·t·μ₀⁻¹·c₀·e⁻² | m = k₀ · t⁻¹·μ₀·c₀⁻¹·e² | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "1", "time": "1", "permeability": "-1", "light_speed": "1", "elem_charge": "-2"} |
5 | elem_charge,grav_const,mass,permeability,time | m·t·μ₀·G·e | constants,em,mechanics | m⁴·t²·μ₀⁻³·G·e⁻⁶ | G = k₀ · m⁻⁴·t⁻²·μ₀³·e⁶ | null | 2 | 3 | 6 | 16 | 15.4 | -7.9 | false | {"mass": "4", "time": "2", "permeability": "-3", "grav_const": "1", "elem_charge": "-6"} |
5 | elem_charge,mass,permeability,planck,time | m·t·μ₀·h·e | constants,em,mechanics | m·t·μ₀⁻²·h·e⁻⁴ | m = k₀ · t⁻¹·μ₀²·h⁻¹·e⁴ | null | 2 | 3 | 4 | 9 | 9.5 | -2 | false | {"mass": "1", "time": "1", "permeability": "-2", "planck": "1", "elem_charge": "-4"} |
6 | amount,concentration,conductivity,elem_charge,mass,time | m·t·σ·n·c_n·e | chemistry,constants,em,mechanics | m·t⁻¹·σ·n·c_n⁻¹·e⁻² | m = k₀ · t·σ⁻¹·n⁻¹·c_n·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-1", "conductivity": "1", "amount": "1", "concentration": "-1", "elem_charge": "-2"} |
6 | amount,conductivity,elem_charge,mass,molar_energy,time | m·t·σ·n·E_m·e | chemistry,constants,em,mechanics | m·t⁻⁴·σ⁻²·n⁻³·E_m⁻³·e⁴ | m = k₀ · t⁴·σ²·n³·E_m³·e⁻⁴ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "1", "time": "-4", "conductivity": "-2", "amount": "-3", "molar_energy": "-3", "elem_charge": "4"} |
6 | concentration,conductivity,elem_charge,mass,molar_mass,time | m·t·σ·M_m·c_n·e | chemistry,constants,em,mechanics | m²·t⁻¹·σ·M_m⁻¹·c_n⁻¹·e⁻² | t = k₀ · m²·σ·M_m⁻¹·c_n⁻¹·e⁻² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "2", "time": "-1", "conductivity": "1", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-2"} |
6 | conductivity,elem_charge,mass,molar_energy,molar_mass,time | m·t·σ·M_m·E_m·e | chemistry,constants,em,mechanics | m²·t⁴·σ²·M_m⁻³·E_m³·e⁻⁴ | m = k₀ · t⁻²·σ⁻¹·M_m³ᐟ²·E_m⁻³ᐟ²·e² | null | 1 | 4 | 4 | 18 | 15.7 | -7.2 | false | {"mass": "2", "time": "4", "conductivity": "2", "molar_mass": "-3", "molar_energy": "3", "elem_charge": "-4"} |
6 | concentration,conductivity,elem_charge,mass,molar_energy,time | m·t·σ·c_n·E_m·e | chemistry,constants,em,mechanics | m⁴·t⁻⁷·σ·c_n⁻³·E_m⁻³·e⁻² | σ = k₀ · m⁻⁴·t⁷·c_n³·E_m³·e² | null | 1 | 4 | 7 | 20 | 18.6 | -10.1 | false | {"mass": "4", "time": "-7", "conductivity": "1", "concentration": "-3", "molar_energy": "-3", "elem_charge": "-2"} |
7 | boltzmann,concentration,conductivity,elem_charge,gas_constant,mass,time | m·t·σ·c_n·R·k_B·e | chemistry,constants,em,mechanics | m·t⁻¹·σ·c_n⁻¹·R⁻¹·k_B·e⁻² | m = k₀ · t·σ⁻¹·c_n·R·k_B⁻¹·e² | null | 2 | 4 | 2 | 8 | 9 | -2 | false | {"mass": "1", "time": "-1", "conductivity": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | avogadro,concentration,conductivity,elem_charge,mass,time | m·t·σ·c_n·e·N_A | chemistry,constants,em,mechanics | m·t⁻¹·σ·c_n⁻¹·e⁻²·N_A⁻¹ | m = k₀ · t·σ⁻¹·c_n·e²·N_A | null | 2 | 4 | 2 | 7 | 8 | -1 | false | {"mass": "1", "time": "-1", "conductivity": "1", "concentration": "-1", "elem_charge": "-2", "avogadro": "-1"} |
7 | boltzmann,conductivity,elem_charge,gas_constant,mass,molar_energy,time | m·t·σ·E_m·R·k_B·e | chemistry,constants,em,mechanics | m·t⁻⁴·σ⁻²·E_m⁻³·R³·k_B⁻³·e⁴ | m = k₀ · t⁴·σ²·E_m³·R⁻³·k_B³·e⁻⁴ | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"mass": "1", "time": "-4", "conductivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3", "elem_charge": "4"} |
6 | cat_activity,conductivity,elem_charge,mass,molar_energy,time | m·t·σ·E_m·z·e | chemistry,constants,em,mechanics | m·t⁻⁷·σ⁻²·E_m⁻³·z⁻³·e⁴ | m = k₀ · t⁷·σ²·E_m³·z³·e⁻⁴ | null | 1 | 4 | 7 | 20 | 18.6 | -10.1 | false | {"mass": "1", "time": "-7", "conductivity": "-2", "molar_energy": "-3", "cat_activity": "-3", "elem_charge": "4"} |
6 | avogadro,conductivity,elem_charge,mass,molar_energy,time | m·t·σ·E_m·e·N_A | chemistry,constants,em,mechanics | m·t⁻⁴·σ⁻²·E_m⁻³·e⁴·N_A³ | m = k₀ · t⁴·σ²·E_m³·e⁻⁴·N_A⁻³ | null | 2 | 4 | 4 | 17 | 16 | -9 | false | {"mass": "1", "time": "-4", "conductivity": "-2", "molar_energy": "-3", "elem_charge": "4", "avogadro": "3"} |
6 | conductivity,elem_charge,illuminance,lum_intensity,mass,time | m·t·σ·I_v·E_v·e | constants,em,mechanics,photometry | m²·t⁻²·σ²·I_v³·E_v⁻³·e⁻⁴ | m = k₀ · t·σ⁻¹·I_v⁻³ᐟ²·E_v³ᐟ²·e² | null | 1 | 4 | 4 | 16 | 14.3 | -5.8 | false | {"mass": "2", "time": "-2", "conductivity": "2", "lum_intensity": "3", "illuminance": "-3", "elem_charge": "-4"} |
6 | conductivity,elem_charge,lum_intensity,luminance,mass,time | m·t·σ·I_v·L_v·e | constants,em,mechanics,photometry | m²·t⁻²·σ²·I_v³·L_v⁻³·e⁻⁴ | m = k₀ · t·σ⁻¹·I_v⁻³ᐟ²·L_v³ᐟ²·e² | null | 1 | 4 | 4 | 16 | 14.3 | -5.8 | false | {"mass": "2", "time": "-2", "conductivity": "2", "lum_intensity": "3", "luminance": "-3", "elem_charge": "-4"} |
5 | conductivity,elem_charge,light_speed,mass,time | m·t·σ·c₀·e | constants,em,mechanics | m·t²·σ·c₀³·e⁻² | m = k₀ · t⁻²·σ⁻¹·c₀⁻³·e² | null | 2 | 3 | 3 | 9 | 9 | -1.5 | false | {"mass": "1", "time": "2", "conductivity": "1", "light_speed": "3", "elem_charge": "-2"} |
5 | conductivity,elem_charge,grav_const,mass,time | m·t·σ·G·e | constants,em,mechanics | m²·t·σ·G·e⁻² | t = k₀ · m⁻²·σ⁻¹·G⁻¹·e² | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "2", "time": "1", "conductivity": "1", "grav_const": "1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,mass,planck,time | m·t·σ·h·e | constants,em,mechanics | m·t⁻¹·σ⁻²·h⁻³·e⁴ | m = k₀ · t·σ²·h³·e⁻⁴ | null | 2 | 3 | 4 | 11 | 10.9 | -3.4 | false | {"mass": "1", "time": "-1", "conductivity": "-2", "planck": "-3", "elem_charge": "4"} |
6 | amount,concentration,elem_charge,mass,resistivity,time | m·t·ρ_e·n·c_n·e | chemistry,constants,em,mechanics | m·t⁻¹·ρ_e⁻¹·n·c_n⁻¹·e⁻² | m = k₀ · t·ρ_e·n⁻¹·c_n·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-1", "resistivity": "-1", "amount": "1", "concentration": "-1", "elem_charge": "-2"} |
6 | amount,elem_charge,mass,molar_energy,resistivity,time | m·t·ρ_e·n·E_m·e | chemistry,constants,em,mechanics | m·t⁻⁴·ρ_e²·n⁻³·E_m⁻³·e⁴ | m = k₀ · t⁴·ρ_e⁻²·n³·E_m³·e⁻⁴ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "1", "time": "-4", "resistivity": "2", "amount": "-3", "molar_energy": "-3", "elem_charge": "4"} |
6 | concentration,elem_charge,mass,molar_mass,resistivity,time | m·t·ρ_e·M_m·c_n·e | chemistry,constants,em,mechanics | m²·t⁻¹·ρ_e⁻¹·M_m⁻¹·c_n⁻¹·e⁻² | t = k₀ · m²·ρ_e⁻¹·M_m⁻¹·c_n⁻¹·e⁻² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "2", "time": "-1", "resistivity": "-1", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-2"} |
6 | elem_charge,mass,molar_energy,molar_mass,resistivity,time | m·t·ρ_e·M_m·E_m·e | chemistry,constants,em,mechanics | m²·t⁴·ρ_e⁻²·M_m⁻³·E_m³·e⁻⁴ | m = k₀ · t⁻²·ρ_e·M_m³ᐟ²·E_m⁻³ᐟ²·e² | null | 1 | 4 | 4 | 18 | 15.7 | -7.2 | false | {"mass": "2", "time": "4", "resistivity": "-2", "molar_mass": "-3", "molar_energy": "3", "elem_charge": "-4"} |
6 | concentration,elem_charge,mass,molar_energy,resistivity,time | m·t·ρ_e·c_n·E_m·e | chemistry,constants,em,mechanics | m⁴·t⁻⁷·ρ_e⁻¹·c_n⁻³·E_m⁻³·e⁻² | ρ_e = k₀ · m⁴·t⁻⁷·c_n⁻³·E_m⁻³·e⁻² | null | 1 | 4 | 7 | 20 | 18.6 | -10.1 | false | {"mass": "4", "time": "-7", "resistivity": "-1", "concentration": "-3", "molar_energy": "-3", "elem_charge": "-2"} |
7 | boltzmann,concentration,elem_charge,gas_constant,mass,resistivity,time | m·t·ρ_e·c_n·R·k_B·e | chemistry,constants,em,mechanics | m·t⁻¹·ρ_e⁻¹·c_n⁻¹·R⁻¹·k_B·e⁻² | m = k₀ · t·ρ_e·c_n·R·k_B⁻¹·e² | null | 2 | 4 | 2 | 8 | 9 | -2 | false | {"mass": "1", "time": "-1", "resistivity": "-1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | avogadro,concentration,elem_charge,mass,resistivity,time | m·t·ρ_e·c_n·e·N_A | chemistry,constants,em,mechanics | m·t⁻¹·ρ_e⁻¹·c_n⁻¹·e⁻²·N_A⁻¹ | m = k₀ · t·ρ_e·c_n·e²·N_A | null | 2 | 4 | 2 | 7 | 8 | -1 | false | {"mass": "1", "time": "-1", "resistivity": "-1", "concentration": "-1", "elem_charge": "-2", "avogadro": "-1"} |
7 | boltzmann,elem_charge,gas_constant,mass,molar_energy,resistivity,time | m·t·ρ_e·E_m·R·k_B·e | chemistry,constants,em,mechanics | m·t⁻⁴·ρ_e²·E_m⁻³·R³·k_B⁻³·e⁴ | m = k₀ · t⁴·ρ_e⁻²·E_m³·R⁻³·k_B³·e⁻⁴ | null | 2 | 4 | 4 | 20 | 18.4 | -11.4 | false | {"mass": "1", "time": "-4", "resistivity": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3", "elem_charge": "4"} |
6 | cat_activity,elem_charge,mass,molar_energy,resistivity,time | m·t·ρ_e·E_m·z·e | chemistry,constants,em,mechanics | m·t⁻⁷·ρ_e²·E_m⁻³·z⁻³·e⁴ | m = k₀ · t⁷·ρ_e⁻²·E_m³·z³·e⁻⁴ | null | 1 | 4 | 7 | 20 | 18.6 | -10.1 | false | {"mass": "1", "time": "-7", "resistivity": "2", "molar_energy": "-3", "cat_activity": "-3", "elem_charge": "4"} |
6 | avogadro,elem_charge,mass,molar_energy,resistivity,time | m·t·ρ_e·E_m·e·N_A | chemistry,constants,em,mechanics | m·t⁻⁴·ρ_e²·E_m⁻³·e⁴·N_A³ | m = k₀ · t⁴·ρ_e⁻²·E_m³·e⁻⁴·N_A⁻³ | null | 2 | 4 | 4 | 17 | 16 | -9 | false | {"mass": "1", "time": "-4", "resistivity": "2", "molar_energy": "-3", "elem_charge": "4", "avogadro": "3"} |
6 | elem_charge,illuminance,lum_intensity,mass,resistivity,time | m·t·ρ_e·I_v·E_v·e | constants,em,mechanics,photometry | m²·t⁻²·ρ_e⁻²·I_v³·E_v⁻³·e⁻⁴ | m = k₀ · t·ρ_e·I_v⁻³ᐟ²·E_v³ᐟ²·e² | null | 1 | 4 | 4 | 16 | 14.3 | -5.8 | false | {"mass": "2", "time": "-2", "resistivity": "-2", "lum_intensity": "3", "illuminance": "-3", "elem_charge": "-4"} |
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