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 | bfield,concentration,mag_flux,mass,molar_energy,time | m·t·B·Φ·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁴·B·Φ⁻¹·c_n⁻²·E_m⁻² | B = k₀ · m⁻²·t⁴·Φ·c_n²·E_m² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-4", "bfield": "1", "mag_flux": "-1", "concentration": "-2", "molar_energy": "-2"} |
7 | bfield,boltzmann,gas_constant,mag_flux,mass,molar_energy,time | m·t·B·Φ·E_m·R·k_B | chemistry,constants,em,mechanics | m·t⁻²·B⁻¹·Φ·E_m⁻¹·R·k_B⁻¹ | m = k₀ · t²·B·Φ⁻¹·E_m·R⁻¹·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "bfield": "-1", "mag_flux": "1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | bfield,cat_activity,mag_flux,mass,molar_energy,time | m·t·B·Φ·E_m·z | chemistry,em,mechanics | m·t⁻³·B⁻¹·Φ·E_m⁻¹·z⁻¹ | m = k₀ · t³·B·Φ⁻¹·E_m·z | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "time": "-3", "bfield": "-1", "mag_flux": "1", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,bfield,mag_flux,mass,molar_energy,time | m·t·B·Φ·E_m·N_A | chemistry,constants,em,mechanics | m·t⁻²·B⁻¹·Φ·E_m⁻¹·N_A | m = k₀ · t²·B·Φ⁻¹·E_m·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-2", "bfield": "-1", "mag_flux": "1", "molar_energy": "-1", "avogadro": "1"} |
5 | bfield,grav_const,mag_flux,mass,time | m·t·B·Φ·G | constants,em,mechanics | m²·t⁴·B³·Φ⁻³·G² | m = k₀ · t⁻²·B⁻³ᐟ²·Φ³ᐟ²·G⁻¹ | null | 1 | 3 | 4 | 14 | 12 | -3 | false | {"mass": "2", "time": "4", "bfield": "3", "mag_flux": "-3", "grav_const": "2"} |
5 | bfield,mag_flux,mass,planck,time | m·t·B·Φ·h | constants,em,mechanics | m·t⁻¹·B⁻¹·Φ·h⁻¹ | m = k₀ · t·B·Φ⁻¹·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "-1", "bfield": "-1", "mag_flux": "1", "planck": "-1"} |
5 | bfield,mass,permeability,permittivity,time | m·t·B·ε·μ₀ | em,mechanics | m²·t⁻⁶·B⁻⁴·ε·μ₀³ | ε = k₀ · m⁻²·t⁶·B⁴·μ₀⁻³ | null | 0 | 2 | 6 | 16 | 13.8 | -4.3 | false | {"mass": "2", "time": "-6", "bfield": "-4", "permittivity": "1", "permeability": "3"} |
6 | amount,bfield,mass,molar_energy,permittivity,time | m·t·B·ε·n·E_m | chemistry,em,mechanics | m⁵·t⁻⁶·B⁻⁴·ε⁻²·n⁻³·E_m⁻³ | ε = k₀ · m⁵ᐟ²·t⁻³·B⁻²·n⁻³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "5", "time": "-6", "bfield": "-4", "permittivity": "-2", "amount": "-3", "molar_energy": "-3"} |
6 | bfield,mass,molar_energy,molar_mass,permittivity,time | m·t·B·ε·M_m·E_m | chemistry,em,mechanics | m²·t⁻⁶·B⁻⁴·ε⁻²·M_m³·E_m⁻³ | m = k₀ · t³·B²·ε·M_m⁻³ᐟ²·E_m³ᐟ² | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "2", "time": "-6", "bfield": "-4", "permittivity": "-2", "molar_mass": "3", "molar_energy": "-3"} |
6 | bfield,concentration,mass,molar_energy,permittivity,time | m·t·B·ε·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁶·B²·ε·c_n⁻³·E_m⁻³ | ε = k₀ · m⁻²·t⁶·B⁻²·c_n³·E_m³ | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "2", "time": "-6", "bfield": "2", "permittivity": "1", "concentration": "-3", "molar_energy": "-3"} |
6 | bfield,cat_activity,concentration,mass,permittivity,time | m·t·B·ε·c_n·z | chemistry,em,mechanics | m·t⁻¹·B⁻²·ε⁻¹·c_n·z⁻¹ | m = k₀ · t·B²·ε·c_n⁻¹·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "bfield": "-2", "permittivity": "-1", "concentration": "1", "cat_activity": "-1"} |
7 | bfield,boltzmann,gas_constant,mass,molar_energy,permittivity,time | m·t·B·ε·E_m·R·k_B | chemistry,constants,em,mechanics | m⁵·t⁻⁶·B⁻⁴·ε⁻²·E_m⁻³·R³·k_B⁻³ | ε = k₀ · m⁵ᐟ²·t⁻³·B⁻²·E_m⁻³ᐟ²·R³ᐟ²·k_B⁻³ᐟ² | null | 1 | 4 | 6 | 26 | 22.6 | -14.1 | false | {"mass": "5", "time": "-6", "bfield": "-4", "permittivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | bfield,cat_activity,mass,molar_energy,permittivity,time | m·t·B·ε·E_m·z | chemistry,em,mechanics | m⁵·t⁻⁹·B⁻⁴·ε⁻²·E_m⁻³·z⁻³ | ε = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·B⁻²·E_m⁻³ᐟ²·z⁻³ᐟ² | null | 0 | 3 | 9 | 26 | 23.2 | -14.2 | false | {"mass": "5", "time": "-9", "bfield": "-4", "permittivity": "-2", "molar_energy": "-3", "cat_activity": "-3"} |
6 | avogadro,bfield,mass,molar_energy,permittivity,time | m·t·B·ε·E_m·N_A | chemistry,constants,em,mechanics | m⁵·t⁻⁶·B⁻⁴·ε⁻²·E_m⁻³·N_A³ | ε = k₀ · m⁵ᐟ²·t⁻³·B⁻²·E_m⁻³ᐟ²·N_A³ᐟ² | null | 1 | 4 | 6 | 23 | 20.2 | -11.7 | false | {"mass": "5", "time": "-6", "bfield": "-4", "permittivity": "-2", "molar_energy": "-3", "avogadro": "3"} |
5 | bfield,light_speed,mass,permittivity,time | m·t·B·ε·c₀ | constants,em,mechanics | m·t⁻³·B⁻²·ε⁻¹·c₀⁻³ | m = k₀ · t³·B²·ε·c₀³ | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "time": "-3", "bfield": "-2", "permittivity": "-1", "light_speed": "-3"} |
5 | bfield,mass,permittivity,planck,time | m·t·B·ε·h | constants,em,mechanics | m⁵·t⁻³·B⁻⁴·ε⁻²·h⁻³ | ε = k₀ · m⁵ᐟ²·t⁻³ᐟ²·B⁻²·h⁻³ᐟ² | null | 1 | 3 | 5 | 17 | 14.6 | -5.6 | false | {"mass": "5", "time": "-3", "bfield": "-4", "permittivity": "-2", "planck": "-3"} |
5 | bfield,conductivity,mass,permeability,time | m·t·B·μ₀·σ | em,mechanics | m²·t⁻⁵·B⁻⁴·μ₀³·σ | σ = k₀ · m⁻²·t⁵·B⁴·μ₀⁻³ | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "2", "time": "-5", "bfield": "-4", "permeability": "3", "conductivity": "1"} |
5 | bfield,mass,permeability,resistivity,time | m·t·B·μ₀·ρ_e | em,mechanics | m²·t⁻⁵·B⁻⁴·μ₀³·ρ_e⁻¹ | ρ_e = k₀ · m²·t⁻⁵·B⁻⁴·μ₀³ | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "2", "time": "-5", "bfield": "-4", "permeability": "3", "resistivity": "-1"} |
6 | amount,bfield,concentration,mass,permeability,time | m·t·B·μ₀·n·c_n | chemistry,em,mechanics | m³·t⁻⁶·B⁻⁶·μ₀³·n⁻¹·c_n | n = k₀ · m³·t⁻⁶·B⁻⁶·μ₀³·c_n | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "3", "time": "-6", "bfield": "-6", "permeability": "3", "amount": "-1", "concentration": "1"} |
6 | amount,bfield,mass,molar_energy,permeability,time | m·t·B·μ₀·n·E_m | chemistry,em,mechanics | m³·t⁻⁶·B⁻⁴·μ₀²·n⁻¹·E_m⁻¹ | n = k₀ · m³·t⁻⁶·B⁻⁴·μ₀²·E_m⁻¹ | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "3", "time": "-6", "bfield": "-4", "permeability": "2", "amount": "-1", "molar_energy": "-1"} |
6 | bfield,concentration,mass,molar_mass,permeability,time | m·t·B·μ₀·M_m·c_n | chemistry,em,mechanics | m²·t⁻⁶·B⁻⁶·μ₀³·M_m·c_n | M_m = k₀ · m⁻²·t⁶·B⁶·μ₀⁻³·c_n⁻¹ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "2", "time": "-6", "bfield": "-6", "permeability": "3", "molar_mass": "1", "concentration": "1"} |
6 | bfield,mass,molar_energy,molar_mass,permeability,time | m·t·B·μ₀·M_m·E_m | chemistry,em,mechanics | m²·t⁻⁶·B⁻⁴·μ₀²·M_m·E_m⁻¹ | M_m = k₀ · m⁻²·t⁶·B⁴·μ₀⁻²·E_m | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "2", "time": "-6", "bfield": "-4", "permeability": "2", "molar_mass": "1", "molar_energy": "-1"} |
7 | bfield,boltzmann,concentration,gas_constant,mass,permeability,time | m·t·B·μ₀·c_n·R·k_B | chemistry,constants,em,mechanics | m³·t⁻⁶·B⁻⁶·μ₀³·c_n·R·k_B⁻¹ | c_n = k₀ · m⁻³·t⁶·B⁶·μ₀⁻³·R⁻¹·k_B | null | 1 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "time": "-6", "bfield": "-6", "permeability": "3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | bfield,cat_activity,concentration,mass,permeability,time | m·t·B·μ₀·c_n·z | chemistry,em,mechanics | m³·t⁻⁷·B⁻⁶·μ₀³·c_n·z⁻¹ | c_n = k₀ · m⁻³·t⁷·B⁶·μ₀⁻³·z | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "3", "time": "-7", "bfield": "-6", "permeability": "3", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,bfield,concentration,mass,permeability,time | m·t·B·μ₀·c_n·N_A | chemistry,constants,em,mechanics | m³·t⁻⁶·B⁻⁶·μ₀³·c_n·N_A | c_n = k₀ · m⁻³·t⁶·B⁶·μ₀⁻³·N_A⁻¹ | null | 1 | 4 | 6 | 20 | 18.1 | -9.6 | false | {"mass": "3", "time": "-6", "bfield": "-6", "permeability": "3", "concentration": "1", "avogadro": "1"} |
7 | bfield,boltzmann,gas_constant,mass,molar_energy,permeability,time | m·t·B·μ₀·E_m·R·k_B | chemistry,constants,em,mechanics | m³·t⁻⁶·B⁻⁴·μ₀²·E_m⁻¹·R·k_B⁻¹ | E_m = k₀ · m³·t⁻⁶·B⁻⁴·μ₀²·R·k_B⁻¹ | null | 1 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "time": "-6", "bfield": "-4", "permeability": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | bfield,cat_activity,mass,molar_energy,permeability,time | m·t·B·μ₀·E_m·z | chemistry,em,mechanics | m³·t⁻⁷·B⁻⁴·μ₀²·E_m⁻¹·z⁻¹ | E_m = k₀ · m³·t⁻⁷·B⁻⁴·μ₀²·z⁻¹ | null | 0 | 3 | 7 | 18 | 16.6 | -7.6 | false | {"mass": "3", "time": "-7", "bfield": "-4", "permeability": "2", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,bfield,mass,molar_energy,permeability,time | m·t·B·μ₀·E_m·N_A | chemistry,constants,em,mechanics | m³·t⁻⁶·B⁻⁴·μ₀²·E_m⁻¹·N_A | E_m = k₀ · m³·t⁻⁶·B⁻⁴·μ₀²·N_A | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "3", "time": "-6", "bfield": "-4", "permeability": "2", "molar_energy": "-1", "avogadro": "1"} |
6 | bfield,illuminance,lum_intensity,mass,permeability,time | m·t·B·μ₀·I_v·E_v | em,mechanics,photometry | m²·t⁻⁴·B⁻⁴·μ₀²·I_v⁻¹·E_v | I_v = k₀ · m²·t⁻⁴·B⁻⁴·μ₀²·E_v | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "time": "-4", "bfield": "-4", "permeability": "2", "lum_intensity": "-1", "illuminance": "1"} |
6 | bfield,lum_intensity,luminance,mass,permeability,time | m·t·B·μ₀·I_v·L_v | em,mechanics,photometry | m²·t⁻⁴·B⁻⁴·μ₀²·I_v⁻¹·L_v | I_v = k₀ · m²·t⁻⁴·B⁻⁴·μ₀²·L_v | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "time": "-4", "bfield": "-4", "permeability": "2", "lum_intensity": "-1", "luminance": "1"} |
5 | bfield,light_speed,mass,permeability,time | m·t·B·μ₀·c₀ | constants,em,mechanics | m·t⁻³·B⁻²·μ₀·c₀⁻¹ | m = k₀ · t³·B²·μ₀⁻¹·c₀ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "-3", "bfield": "-2", "permeability": "1", "light_speed": "-1"} |
5 | bfield,grav_const,mass,permeability,time | m·t·B·μ₀·G | constants,em,mechanics | m²·t⁻⁸·B⁻⁶·μ₀³·G⁻¹ | G = k₀ · m²·t⁻⁸·B⁻⁶·μ₀³ | null | 1 | 3 | 8 | 20 | 18.2 | -9.2 | false | {"mass": "2", "time": "-8", "bfield": "-6", "permeability": "3", "grav_const": "-1"} |
5 | bfield,mass,permeability,planck,time | m·t·B·μ₀·h | constants,em,mechanics | m³·t⁻⁵·B⁻⁴·μ₀²·h⁻¹ | h = k₀ · m³·t⁻⁵·B⁻⁴·μ₀² | null | 1 | 3 | 5 | 15 | 13.2 | -4.2 | false | {"mass": "3", "time": "-5", "bfield": "-4", "permeability": "2", "planck": "-1"} |
6 | amount,bfield,concentration,conductivity,mass,time | m·t·B·σ·n·c_n | chemistry,em,mechanics | m·t⁻¹·B⁻²·σ⁻¹·n⁻¹·c_n | m = k₀ · t·B²·σ·n·c_n⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "bfield": "-2", "conductivity": "-1", "amount": "-1", "concentration": "1"} |
6 | amount,bfield,conductivity,mass,molar_energy,time | m·t·B·σ·n·E_m | chemistry,em,mechanics | m⁵·t⁻⁸·B⁻⁴·σ⁻²·n⁻³·E_m⁻³ | σ = k₀ · m⁵ᐟ²·t⁻⁴·B⁻²·n⁻³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 8 | 25 | 22 | -13 | false | {"mass": "5", "time": "-8", "bfield": "-4", "conductivity": "-2", "amount": "-3", "molar_energy": "-3"} |
6 | bfield,conductivity,mass,molar_energy,molar_mass,time | m·t·B·σ·M_m·E_m | chemistry,em,mechanics | m²·t⁻⁸·B⁻⁴·σ⁻²·M_m³·E_m⁻³ | m = k₀ · t⁴·B²·σ·M_m⁻³ᐟ²·E_m³ᐟ² | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "2", "time": "-8", "bfield": "-4", "conductivity": "-2", "molar_mass": "3", "molar_energy": "-3"} |
6 | bfield,concentration,conductivity,mass,molar_energy,time | m·t·B·σ·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁵·B²·σ·c_n⁻³·E_m⁻³ | σ = k₀ · m⁻²·t⁵·B⁻²·c_n³·E_m³ | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "2", "time": "-5", "bfield": "2", "conductivity": "1", "concentration": "-3", "molar_energy": "-3"} |
7 | bfield,boltzmann,concentration,conductivity,gas_constant,mass,time | m·t·B·σ·c_n·R·k_B | chemistry,constants,em,mechanics | m·t⁻¹·B⁻²·σ⁻¹·c_n·R·k_B⁻¹ | m = k₀ · t·B²·σ·c_n⁻¹·R⁻¹·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-1", "bfield": "-2", "conductivity": "-1", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | bfield,cat_activity,concentration,conductivity,mass,time | m·t·B·σ·c_n·z | chemistry,em,mechanics | m·t⁻²·B⁻²·σ⁻¹·c_n·z⁻¹ | m = k₀ · t²·B²·σ·c_n⁻¹·z | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "-2", "bfield": "-2", "conductivity": "-1", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,bfield,concentration,conductivity,mass,time | m·t·B·σ·c_n·N_A | chemistry,constants,em,mechanics | m·t⁻¹·B⁻²·σ⁻¹·c_n·N_A | m = k₀ · t·B²·σ·c_n⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-1", "bfield": "-2", "conductivity": "-1", "concentration": "1", "avogadro": "1"} |
7 | bfield,boltzmann,conductivity,gas_constant,mass,molar_energy,time | m·t·B·σ·E_m·R·k_B | chemistry,constants,em,mechanics | m⁵·t⁻⁸·B⁻⁴·σ⁻²·E_m⁻³·R³·k_B⁻³ | σ = k₀ · m⁵ᐟ²·t⁻⁴·B⁻²·E_m⁻³ᐟ²·R³ᐟ²·k_B⁻³ᐟ² | null | 1 | 4 | 8 | 28 | 25 | -16.5 | false | {"mass": "5", "time": "-8", "bfield": "-4", "conductivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | bfield,cat_activity,conductivity,mass,molar_energy,time | m·t·B·σ·E_m·z | chemistry,em,mechanics | m⁵·t⁻¹¹·B⁻⁴·σ⁻²·E_m⁻³·z⁻³ | σ = k₀ · m⁵ᐟ²·t⁻¹¹ᐟ²·B⁻²·E_m⁻³ᐟ²·z⁻³ᐟ² | null | 0 | 3 | 11 | 28 | 25.6 | -16.6 | false | {"mass": "5", "time": "-11", "bfield": "-4", "conductivity": "-2", "molar_energy": "-3", "cat_activity": "-3"} |
6 | avogadro,bfield,conductivity,mass,molar_energy,time | m·t·B·σ·E_m·N_A | chemistry,constants,em,mechanics | m⁵·t⁻⁸·B⁻⁴·σ⁻²·E_m⁻³·N_A³ | σ = k₀ · m⁵ᐟ²·t⁻⁴·B⁻²·E_m⁻³ᐟ²·N_A³ᐟ² | null | 1 | 4 | 8 | 25 | 22.6 | -14.1 | false | {"mass": "5", "time": "-8", "bfield": "-4", "conductivity": "-2", "molar_energy": "-3", "avogadro": "3"} |
6 | bfield,conductivity,illuminance,lum_intensity,mass,time | m·t·B·σ·I_v·E_v | em,mechanics,photometry | m²·t⁻²·B⁻⁴·σ⁻²·I_v⁻³·E_v³ | m = k₀ · t·B²·σ·I_v³ᐟ²·E_v⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "time": "-2", "bfield": "-4", "conductivity": "-2", "lum_intensity": "-3", "illuminance": "3"} |
6 | bfield,conductivity,lum_intensity,luminance,mass,time | m·t·B·σ·I_v·L_v | em,mechanics,photometry | m²·t⁻²·B⁻⁴·σ⁻²·I_v⁻³·L_v³ | m = k₀ · t·B²·σ·I_v³ᐟ²·L_v⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "time": "-2", "bfield": "-4", "conductivity": "-2", "lum_intensity": "-3", "luminance": "3"} |
5 | bfield,conductivity,light_speed,mass,time | m·t·B·σ·c₀ | constants,em,mechanics | m·t⁻⁴·B⁻²·σ⁻¹·c₀⁻³ | m = k₀ · t⁴·B²·σ·c₀³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "time": "-4", "bfield": "-2", "conductivity": "-1", "light_speed": "-3"} |
5 | bfield,conductivity,mass,planck,time | m·t·B·σ·h | constants,em,mechanics | m⁵·t⁻⁵·B⁻⁴·σ⁻²·h⁻³ | σ = k₀ · m⁵ᐟ²·t⁻⁵ᐟ²·B⁻²·h⁻³ᐟ² | null | 1 | 3 | 5 | 19 | 16 | -7 | false | {"mass": "5", "time": "-5", "bfield": "-4", "conductivity": "-2", "planck": "-3"} |
6 | amount,bfield,concentration,mass,resistivity,time | m·t·B·ρ_e·n·c_n | chemistry,em,mechanics | m·t⁻¹·B⁻²·ρ_e·n⁻¹·c_n | m = k₀ · t·B²·ρ_e⁻¹·n·c_n⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "bfield": "-2", "resistivity": "1", "amount": "-1", "concentration": "1"} |
6 | amount,bfield,mass,molar_energy,resistivity,time | m·t·B·ρ_e·n·E_m | chemistry,em,mechanics | m⁵·t⁻⁸·B⁻⁴·ρ_e²·n⁻³·E_m⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·B²·n³ᐟ²·E_m³ᐟ² | null | 0 | 3 | 8 | 25 | 22 | -13 | false | {"mass": "5", "time": "-8", "bfield": "-4", "resistivity": "2", "amount": "-3", "molar_energy": "-3"} |
6 | bfield,mass,molar_energy,molar_mass,resistivity,time | m·t·B·ρ_e·M_m·E_m | chemistry,em,mechanics | m²·t⁻⁸·B⁻⁴·ρ_e²·M_m³·E_m⁻³ | m = k₀ · t⁴·B²·ρ_e⁻¹·M_m⁻³ᐟ²·E_m³ᐟ² | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "2", "time": "-8", "bfield": "-4", "resistivity": "2", "molar_mass": "3", "molar_energy": "-3"} |
6 | bfield,concentration,mass,molar_energy,resistivity,time | m·t·B·ρ_e·c_n·E_m | chemistry,em,mechanics | m²·t⁻⁵·B²·ρ_e⁻¹·c_n⁻³·E_m⁻³ | ρ_e = k₀ · m²·t⁻⁵·B²·c_n⁻³·E_m⁻³ | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "2", "time": "-5", "bfield": "2", "resistivity": "-1", "concentration": "-3", "molar_energy": "-3"} |
7 | bfield,boltzmann,concentration,gas_constant,mass,resistivity,time | m·t·B·ρ_e·c_n·R·k_B | chemistry,constants,em,mechanics | m·t⁻¹·B⁻²·ρ_e·c_n·R·k_B⁻¹ | m = k₀ · t·B²·ρ_e⁻¹·c_n⁻¹·R⁻¹·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-1", "bfield": "-2", "resistivity": "1", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | bfield,cat_activity,concentration,mass,resistivity,time | m·t·B·ρ_e·c_n·z | chemistry,em,mechanics | m·t⁻²·B⁻²·ρ_e·c_n·z⁻¹ | m = k₀ · t²·B²·ρ_e⁻¹·c_n⁻¹·z | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "-2", "bfield": "-2", "resistivity": "1", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,bfield,concentration,mass,resistivity,time | m·t·B·ρ_e·c_n·N_A | chemistry,constants,em,mechanics | m·t⁻¹·B⁻²·ρ_e·c_n·N_A | m = k₀ · t·B²·ρ_e⁻¹·c_n⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-1", "bfield": "-2", "resistivity": "1", "concentration": "1", "avogadro": "1"} |
7 | bfield,boltzmann,gas_constant,mass,molar_energy,resistivity,time | m·t·B·ρ_e·E_m·R·k_B | chemistry,constants,em,mechanics | m⁵·t⁻⁸·B⁻⁴·ρ_e²·E_m⁻³·R³·k_B⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·B²·E_m³ᐟ²·R⁻³ᐟ²·k_B³ᐟ² | null | 1 | 4 | 8 | 28 | 25 | -16.5 | false | {"mass": "5", "time": "-8", "bfield": "-4", "resistivity": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | bfield,cat_activity,mass,molar_energy,resistivity,time | m·t·B·ρ_e·E_m·z | chemistry,em,mechanics | m⁵·t⁻¹¹·B⁻⁴·ρ_e²·E_m⁻³·z⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t¹¹ᐟ²·B²·E_m³ᐟ²·z³ᐟ² | null | 0 | 3 | 11 | 28 | 25.6 | -16.6 | false | {"mass": "5", "time": "-11", "bfield": "-4", "resistivity": "2", "molar_energy": "-3", "cat_activity": "-3"} |
6 | avogadro,bfield,mass,molar_energy,resistivity,time | m·t·B·ρ_e·E_m·N_A | chemistry,constants,em,mechanics | m⁵·t⁻⁸·B⁻⁴·ρ_e²·E_m⁻³·N_A³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·B²·E_m³ᐟ²·N_A⁻³ᐟ² | null | 1 | 4 | 8 | 25 | 22.6 | -14.1 | false | {"mass": "5", "time": "-8", "bfield": "-4", "resistivity": "2", "molar_energy": "-3", "avogadro": "3"} |
6 | bfield,illuminance,lum_intensity,mass,resistivity,time | m·t·B·ρ_e·I_v·E_v | em,mechanics,photometry | m²·t⁻²·B⁻⁴·ρ_e²·I_v⁻³·E_v³ | m = k₀ · t·B²·ρ_e⁻¹·I_v³ᐟ²·E_v⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "time": "-2", "bfield": "-4", "resistivity": "2", "lum_intensity": "-3", "illuminance": "3"} |
6 | bfield,lum_intensity,luminance,mass,resistivity,time | m·t·B·ρ_e·I_v·L_v | em,mechanics,photometry | m²·t⁻²·B⁻⁴·ρ_e²·I_v⁻³·L_v³ | m = k₀ · t·B²·ρ_e⁻¹·I_v³ᐟ²·L_v⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "time": "-2", "bfield": "-4", "resistivity": "2", "lum_intensity": "-3", "luminance": "3"} |
5 | bfield,light_speed,mass,resistivity,time | m·t·B·ρ_e·c₀ | constants,em,mechanics | m·t⁻⁴·B⁻²·ρ_e·c₀⁻³ | m = k₀ · t⁴·B²·ρ_e⁻¹·c₀³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "time": "-4", "bfield": "-2", "resistivity": "1", "light_speed": "-3"} |
5 | bfield,mass,planck,resistivity,time | m·t·B·ρ_e·h | constants,em,mechanics | m⁵·t⁻⁵·B⁻⁴·ρ_e²·h⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·B²·h³ᐟ² | null | 1 | 3 | 5 | 19 | 16 | -7 | false | {"mass": "5", "time": "-5", "bfield": "-4", "resistivity": "2", "planck": "-3"} |
4 | bfield,elem_charge,mass,time | m·t·B·e | constants,em,mechanics | m·t⁻¹·B⁻¹·e⁻¹ | m = k₀ · t·B·e | null | 1 | 3 | 1 | 4 | 3.2 | 5.8 | false | {"mass": "1", "time": "-1", "bfield": "-1", "elem_charge": "-1"} |
5 | mag_flux,mass,permeability,permittivity,time | m·t·Φ·ε·μ₀ | em,mechanics | m²·t²·Φ⁻⁴·ε⁻³·μ₀⁻¹ | μ₀ = k₀ · m²·t²·Φ⁻⁴·ε⁻³ | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "2", "time": "2", "mag_flux": "-4", "permittivity": "-3", "permeability": "-1"} |
6 | amount,mag_flux,mass,molar_energy,permittivity,time | m·t·Φ·ε·n·E_m | chemistry,em,mechanics | m·t²·Φ⁻⁴·ε⁻²·n·E_m | m = k₀ · t⁻²·Φ⁴·ε²·n⁻¹·E_m⁻¹ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "time": "2", "mag_flux": "-4", "permittivity": "-2", "amount": "1", "molar_energy": "1"} |
6 | mag_flux,mass,molar_energy,molar_mass,permittivity,time | m·t·Φ·ε·M_m·E_m | chemistry,em,mechanics | m²·t²·Φ⁻⁴·ε⁻²·M_m⁻¹·E_m | M_m = k₀ · m²·t²·Φ⁻⁴·ε⁻²·E_m | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "2", "mag_flux": "-4", "permittivity": "-2", "molar_mass": "-1", "molar_energy": "1"} |
6 | concentration,mag_flux,mass,molar_energy,permittivity,time | m·t·Φ·ε·c_n·E_m | chemistry,em,mechanics | m²·t⁻²·Φ⁻²·ε⁻¹·c_n⁻¹·E_m⁻¹ | ε = k₀ · m²·t⁻²·Φ⁻²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "2", "time": "-2", "mag_flux": "-2", "permittivity": "-1", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,concentration,mag_flux,mass,permittivity,time | m·t·Φ·ε·c_n·z | chemistry,em,mechanics | m³·t·Φ⁻⁶·ε⁻³·c_n⁻¹·z | t = k₀ · m⁻³·Φ⁶·ε³·c_n·z⁻¹ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "3", "time": "1", "mag_flux": "-6", "permittivity": "-3", "concentration": "-1", "cat_activity": "1"} |
7 | boltzmann,gas_constant,mag_flux,mass,molar_energy,permittivity,time | m·t·Φ·ε·E_m·R·k_B | chemistry,constants,em,mechanics | m·t²·Φ⁻⁴·ε⁻²·E_m·R⁻¹·k_B | m = k₀ · t⁻²·Φ⁴·ε²·E_m⁻¹·R·k_B⁻¹ | null | 1 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "time": "2", "mag_flux": "-4", "permittivity": "-2", "molar_energy": "1", "gas_constant": "-1", "boltzmann": "1"} |
6 | cat_activity,mag_flux,mass,molar_energy,permittivity,time | m·t·Φ·ε·E_m·z | chemistry,em,mechanics | m·t³·Φ⁻⁴·ε⁻²·E_m·z | m = k₀ · t⁻³·Φ⁴·ε²·E_m⁻¹·z⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "time": "3", "mag_flux": "-4", "permittivity": "-2", "molar_energy": "1", "cat_activity": "1"} |
6 | avogadro,mag_flux,mass,molar_energy,permittivity,time | m·t·Φ·ε·E_m·N_A | chemistry,constants,em,mechanics | m·t²·Φ⁻⁴·ε⁻²·E_m·N_A⁻¹ | m = k₀ · t⁻²·Φ⁴·ε²·E_m⁻¹·N_A | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "time": "2", "mag_flux": "-4", "permittivity": "-2", "molar_energy": "1", "avogadro": "-1"} |
5 | light_speed,mag_flux,mass,permittivity,time | m·t·Φ·ε·c₀ | constants,em,mechanics | m·t·Φ⁻²·ε⁻¹·c₀ | m = k₀ · t⁻¹·Φ²·ε·c₀⁻¹ | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "time": "1", "mag_flux": "-2", "permittivity": "-1", "light_speed": "1"} |
5 | grav_const,mag_flux,mass,permittivity,time | m·t·Φ·ε·G | constants,em,mechanics | m⁴·t²·Φ⁻⁶·ε⁻³·G | G = k₀ · m⁻⁴·t⁻²·Φ⁶·ε³ | null | 1 | 3 | 6 | 16 | 14.4 | -5.4 | false | {"mass": "4", "time": "2", "mag_flux": "-6", "permittivity": "-3", "grav_const": "1"} |
5 | mag_flux,mass,permittivity,planck,time | m·t·Φ·ε·h | constants,em,mechanics | m·t·Φ⁻⁴·ε⁻²·h | m = k₀ · t⁻¹·Φ⁴·ε²·h⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "time": "1", "mag_flux": "-4", "permittivity": "-2", "planck": "1"} |
5 | elem_charge,mag_flux,mass,permittivity,time | m·t·Φ·ε·e | constants,em,mechanics | m·t·Φ⁻³·ε⁻²·e | m = k₀ · t⁻¹·Φ³·ε²·e⁻¹ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "1", "mag_flux": "-3", "permittivity": "-2", "elem_charge": "1"} |
5 | conductivity,mag_flux,mass,permeability,time | m·t·Φ·μ₀·σ | em,mechanics | m²·t⁻¹·Φ⁻⁴·μ₀⁻¹·σ⁻³ | t = k₀ · m²·Φ⁻⁴·μ₀⁻¹·σ⁻³ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "2", "time": "-1", "mag_flux": "-4", "permeability": "-1", "conductivity": "-3"} |
5 | mag_flux,mass,permeability,resistivity,time | m·t·Φ·μ₀·ρ_e | em,mechanics | m²·t⁻¹·Φ⁻⁴·μ₀⁻¹·ρ_e³ | t = k₀ · m²·Φ⁻⁴·μ₀⁻¹·ρ_e³ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "2", "time": "-1", "mag_flux": "-4", "permeability": "-1", "resistivity": "3"} |
6 | amount,concentration,mag_flux,mass,permeability,time | m·t·Φ·μ₀·n·c_n | chemistry,em,mechanics | m·t⁻²·Φ⁻²·μ₀·n·c_n⁻¹ | m = k₀ · t²·Φ²·μ₀⁻¹·n⁻¹·c_n | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "-2", "mag_flux": "-2", "permeability": "1", "amount": "1", "concentration": "-1"} |
6 | amount,mag_flux,mass,molar_energy,permeability,time | m·t·Φ·μ₀·n·E_m | chemistry,em,mechanics | m·t⁻²·Φ⁴·μ₀⁻²·n⁻³·E_m⁻³ | m = k₀ · t²·Φ⁻⁴·μ₀²·n³·E_m³ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "time": "-2", "mag_flux": "4", "permeability": "-2", "amount": "-3", "molar_energy": "-3"} |
6 | concentration,mag_flux,mass,molar_mass,permeability,time | m·t·Φ·μ₀·M_m·c_n | chemistry,em,mechanics | m²·t⁻²·Φ⁻²·μ₀·M_m⁻¹·c_n⁻¹ | μ₀ = k₀ · m⁻²·t²·Φ²·M_m·c_n | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "2", "time": "-2", "mag_flux": "-2", "permeability": "1", "molar_mass": "-1", "concentration": "-1"} |
6 | mag_flux,mass,molar_energy,molar_mass,permeability,time | m·t·Φ·μ₀·M_m·E_m | chemistry,em,mechanics | m²·t²·Φ⁻⁴·μ₀²·M_m⁻³·E_m³ | m = k₀ · t⁻¹·Φ²·μ₀⁻¹·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "time": "2", "mag_flux": "-4", "permeability": "2", "molar_mass": "-3", "molar_energy": "3"} |
6 | concentration,mag_flux,mass,molar_energy,permeability,time | m·t·Φ·μ₀·c_n·E_m | chemistry,em,mechanics | m⁴·t⁻⁸·Φ⁻²·μ₀·c_n⁻³·E_m⁻³ | μ₀ = k₀ · m⁻⁴·t⁸·Φ²·c_n³·E_m³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "4", "time": "-8", "mag_flux": "-2", "permeability": "1", "concentration": "-3", "molar_energy": "-3"} |
7 | boltzmann,concentration,gas_constant,mag_flux,mass,permeability,time | m·t·Φ·μ₀·c_n·R·k_B | chemistry,constants,em,mechanics | m·t⁻²·Φ⁻²·μ₀·c_n⁻¹·R⁻¹·k_B | m = k₀ · t²·Φ²·μ₀⁻¹·c_n·R·k_B⁻¹ | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "time": "-2", "mag_flux": "-2", "permeability": "1", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"} |
6 | cat_activity,concentration,mag_flux,mass,permeability,time | m·t·Φ·μ₀·c_n·z | chemistry,em,mechanics | m·t⁻¹·Φ⁻²·μ₀·c_n⁻¹·z | m = k₀ · t·Φ²·μ₀⁻¹·c_n·z⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "mag_flux": "-2", "permeability": "1", "concentration": "-1", "cat_activity": "1"} |
6 | avogadro,concentration,mag_flux,mass,permeability,time | m·t·Φ·μ₀·c_n·N_A | chemistry,constants,em,mechanics | m·t⁻²·Φ⁻²·μ₀·c_n⁻¹·N_A⁻¹ | m = k₀ · t²·Φ²·μ₀⁻¹·c_n·N_A | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "time": "-2", "mag_flux": "-2", "permeability": "1", "concentration": "-1", "avogadro": "-1"} |
7 | boltzmann,gas_constant,mag_flux,mass,molar_energy,permeability,time | m·t·Φ·μ₀·E_m·R·k_B | chemistry,constants,em,mechanics | m·t⁻²·Φ⁴·μ₀⁻²·E_m⁻³·R³·k_B⁻³ | m = k₀ · t²·Φ⁻⁴·μ₀²·E_m³·R⁻³·k_B³ | null | 1 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "time": "-2", "mag_flux": "4", "permeability": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | cat_activity,mag_flux,mass,molar_energy,permeability,time | m·t·Φ·μ₀·E_m·z | chemistry,em,mechanics | m·t⁻⁵·Φ⁴·μ₀⁻²·E_m⁻³·z⁻³ | m = k₀ · t⁵·Φ⁻⁴·μ₀²·E_m³·z³ | null | 0 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"mass": "1", "time": "-5", "mag_flux": "4", "permeability": "-2", "molar_energy": "-3", "cat_activity": "-3"} |
6 | avogadro,mag_flux,mass,molar_energy,permeability,time | m·t·Φ·μ₀·E_m·N_A | chemistry,constants,em,mechanics | m·t⁻²·Φ⁴·μ₀⁻²·E_m⁻³·N_A³ | m = k₀ · t²·Φ⁻⁴·μ₀²·E_m³·N_A⁻³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "time": "-2", "mag_flux": "4", "permeability": "-2", "molar_energy": "-3", "avogadro": "3"} |
6 | illuminance,lum_intensity,mag_flux,mass,permeability,time | m·t·Φ·μ₀·I_v·E_v | em,mechanics,photometry | m²·t⁻⁴·Φ⁻⁴·μ₀²·I_v³·E_v⁻³ | m = k₀ · t²·Φ²·μ₀⁻¹·I_v⁻³ᐟ²·E_v³ᐟ² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "time": "-4", "mag_flux": "-4", "permeability": "2", "lum_intensity": "3", "illuminance": "-3"} |
6 | lum_intensity,luminance,mag_flux,mass,permeability,time | m·t·Φ·μ₀·I_v·L_v | em,mechanics,photometry | m²·t⁻⁴·Φ⁻⁴·μ₀²·I_v³·L_v⁻³ | m = k₀ · t²·Φ²·μ₀⁻¹·I_v⁻³ᐟ²·L_v³ᐟ² | null | 0 | 3 | 4 | 18 | 15.1 | -6.1 | false | {"mass": "2", "time": "-4", "mag_flux": "-4", "permeability": "2", "lum_intensity": "3", "luminance": "-3"} |
5 | light_speed,mag_flux,mass,permeability,time | m·t·Φ·μ₀·c₀ | constants,em,mechanics | m·t·Φ⁻²·μ₀·c₀³ | m = k₀ · t⁻¹·Φ²·μ₀⁻¹·c₀⁻³ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "1", "mag_flux": "-2", "permeability": "1", "light_speed": "3"} |
5 | mag_flux,mass,permeability,planck,time | m·t·Φ·μ₀·h | constants,em,mechanics | m·t·Φ⁴·μ₀⁻²·h⁻³ | m = k₀ · t⁻¹·Φ⁻⁴·μ₀²·h³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "time": "1", "mag_flux": "4", "permeability": "-2", "planck": "-3"} |
5 | elem_charge,mag_flux,mass,permeability,time | m·t·Φ·μ₀·e | constants,em,mechanics | m·t·Φ·μ₀⁻²·e⁻³ | m = k₀ · t⁻¹·Φ⁻¹·μ₀²·e³ | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "1", "mag_flux": "1", "permeability": "-2", "elem_charge": "-3"} |
6 | amount,concentration,conductivity,mag_flux,mass,time | m·t·Φ·σ·n·c_n | chemistry,em,mechanics | m³·t⁻³·Φ⁻⁶·σ⁻³·n·c_n⁻¹ | n = k₀ · m⁻³·t³·Φ⁶·σ³·c_n | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "3", "time": "-3", "mag_flux": "-6", "conductivity": "-3", "amount": "1", "concentration": "-1"} |
6 | concentration,conductivity,mag_flux,mass,molar_mass,time | m·t·Φ·σ·M_m·c_n | chemistry,em,mechanics | m⁴·t⁻³·Φ⁻⁶·σ⁻³·M_m⁻¹·c_n⁻¹ | M_m = k₀ · m⁴·t⁻³·Φ⁻⁶·σ⁻³·c_n⁻¹ | null | 0 | 3 | 6 | 18 | 16.1 | -7.1 | false | {"mass": "4", "time": "-3", "mag_flux": "-6", "conductivity": "-3", "molar_mass": "-1", "concentration": "-1"} |
6 | concentration,conductivity,mag_flux,mass,molar_energy,time | m·t·Φ·σ·c_n·E_m | chemistry,em,mechanics | m²·t⁻³·Φ⁻²·σ⁻¹·c_n⁻¹·E_m⁻¹ | σ = k₀ · m²·t⁻³·Φ⁻²·c_n⁻¹·E_m⁻¹ | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "2", "time": "-3", "mag_flux": "-2", "conductivity": "-1", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,concentration,conductivity,gas_constant,mag_flux,mass,time | m·t·Φ·σ·c_n·R·k_B | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻⁶·σ⁻³·c_n⁻¹·R⁻¹·k_B | c_n = k₀ · m³·t⁻³·Φ⁻⁶·σ⁻³·R⁻¹·k_B | null | 1 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "time": "-3", "mag_flux": "-6", "conductivity": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"} |
6 | cat_activity,concentration,conductivity,mag_flux,mass,time | m·t·Φ·σ·c_n·z | chemistry,em,mechanics | m³·t⁻²·Φ⁻⁶·σ⁻³·c_n⁻¹·z | c_n = k₀ · m³·t⁻²·Φ⁻⁶·σ⁻³·z | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "3", "time": "-2", "mag_flux": "-6", "conductivity": "-3", "concentration": "-1", "cat_activity": "1"} |
6 | avogadro,concentration,conductivity,mag_flux,mass,time | m·t·Φ·σ·c_n·N_A | chemistry,constants,em,mechanics | m³·t⁻³·Φ⁻⁶·σ⁻³·c_n⁻¹·N_A⁻¹ | c_n = k₀ · m³·t⁻³·Φ⁻⁶·σ⁻³·N_A⁻¹ | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "3", "time": "-3", "mag_flux": "-6", "conductivity": "-3", "concentration": "-1", "avogadro": "-1"} |
6 | cat_activity,conductivity,mag_flux,mass,molar_energy,time | m·t·Φ·σ·E_m·z | chemistry,em,mechanics | m·t·Φ⁻⁴·σ⁻²·E_m·z | m = k₀ · t⁻¹·Φ⁴·σ²·E_m⁻¹·z⁻¹ | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "time": "1", "mag_flux": "-4", "conductivity": "-2", "molar_energy": "1", "cat_activity": "1"} |
6 | conductivity,illuminance,lum_intensity,mag_flux,mass,time | m·t·Φ·σ·I_v·E_v | em,mechanics,photometry | m²·t⁻²·Φ⁻⁴·σ⁻²·I_v·E_v⁻¹ | I_v = k₀ · m⁻²·t²·Φ⁴·σ²·E_v | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-2", "mag_flux": "-4", "conductivity": "-2", "lum_intensity": "1", "illuminance": "-1"} |
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