size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | concentration,elem_charge,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·ε·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻¹·κ²·ε·c_n⁻²·R⁻²·e⁻² | m = k₀ · ℓ·κ⁻²·ε⁻¹·c_n²·R²·e² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "2", "permittivity": "1", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-2"} |
7 | elem_charge,gas_constant,length,mass,molar_energy,permittivity,thermal_cond | m·ℓ·κ·ε·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁷·κ²·ε³·E_m²·R⁻²·e⁻⁶ | m = k₀ · ℓ⁻⁷·κ⁻²·ε⁻³·E_m⁻²·R²·e⁶ | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "1", "length": "7", "thermal_cond": "2", "permittivity": "3", "molar_energy": "2", "gas_constant": "-2", "elem_charge": "-6"} |
7 | avogadro,elem_charge,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·ε·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ²·ε·R⁻²·e⁻²·N_A² | m = k₀ · ℓ⁻⁵·κ⁻²·ε⁻¹·R²·e²·N_A⁻² | null | 2 | 5 | 5 | 15 | 16 | -9.5 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "permittivity": "1", "gas_constant": "-2", "elem_charge": "-2", "avogadro": "2"} |
6 | boltzmann,elem_charge,length,mass,permittivity,thermal_cond | m·ℓ·κ·ε·k_B·e | constants,em,mechanics,thermo | m·ℓ⁵·κ²·ε·k_B⁻²·e⁻² | m = k₀ · ℓ⁻⁵·κ⁻²·ε⁻¹·k_B²·e² | null | 2 | 4 | 5 | 13 | 13.7 | -6.7 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "permittivity": "1", "boltzmann": "-2", "elem_charge": "-2"} |
7 | conductivity,gas_constant,length,mass,molar_mass,permeability,thermal_cond | m·ℓ·κ·μ₀·σ·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ⁻¹·μ₀⁻¹·σ⁻¹·M_m⁻¹·R | m = k₀ · ℓ³·κ·μ₀·σ·M_m·R⁻¹ | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "length": "-3", "thermal_cond": "-1", "permeability": "-1", "conductivity": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | conductivity,gas_constant,length,mass,molar_energy,permeability,thermal_cond | m·ℓ·κ·μ₀·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·μ₀⁻³·σ⁻³·E_m⁻¹·R | m = k₀ · ℓ⁵·κ·μ₀³·σ³·E_m·R⁻¹ | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "permeability": "-3", "conductivity": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_mass,permeability,resistivity,thermal_cond | m·ℓ·κ·μ₀·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ⁻¹·μ₀⁻¹·ρ_e·M_m⁻¹·R | m = k₀ · ℓ³·κ·μ₀·ρ_e⁻¹·M_m·R⁻¹ | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "length": "-3", "thermal_cond": "-1", "permeability": "-1", "resistivity": "1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_energy,permeability,resistivity,thermal_cond | m·ℓ·κ·μ₀·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·μ₀⁻³·ρ_e³·E_m⁻¹·R | m = k₀ · ℓ⁵·κ·μ₀³·ρ_e⁻³·E_m·R⁻¹ | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "permeability": "-3", "resistivity": "3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,conductivity,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·σ·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ·σ·n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ⁻⁴·κ⁻¹·σ⁻¹·n·R·e² | null | 1 | 5 | 4 | 11 | 11.7 | -3.7 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "conductivity": "1", "amount": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | concentration,conductivity,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·σ·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·κ·σ·c_n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ⁻¹·κ⁻¹·σ⁻¹·c_n·R·e² | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "conductivity": "1", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | conductivity,elem_charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·σ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁸·κ·σ³·E_m·R⁻¹·e⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁸·σ⁻³·E_m⁻¹·R·e⁶ | null | 1 | 5 | 8 | 22 | 21.4 | -13.4 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "conductivity": "3", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-6"} |
7 | avogadro,conductivity,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·σ·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ·σ·R⁻¹·e⁻²·N_A | m = k₀ · ℓ⁻⁴·κ⁻¹·σ⁻¹·R·e²·N_A⁻¹ | null | 2 | 5 | 4 | 11 | 12.7 | -6.2 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "conductivity": "1", "gas_constant": "-1", "elem_charge": "-2", "avogadro": "1"} |
6 | boltzmann,conductivity,elem_charge,length,mass,thermal_cond | m·ℓ·κ·σ·k_B·e | constants,em,mechanics,thermo | m·ℓ⁴·κ·σ·k_B⁻¹·e⁻² | m = k₀ · ℓ⁻⁴·κ⁻¹·σ⁻¹·k_B·e² | null | 2 | 4 | 4 | 10 | 11.1 | -4.1 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "conductivity": "1", "boltzmann": "-1", "elem_charge": "-2"} |
7 | amount,elem_charge,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·ρ_e·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ·ρ_e⁻¹·n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ⁻⁴·κ⁻¹·ρ_e·n·R·e² | null | 1 | 5 | 4 | 11 | 11.7 | -3.7 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "resistivity": "-1", "amount": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | concentration,elem_charge,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·ρ_e·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·κ·ρ_e⁻¹·c_n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ⁻¹·κ⁻¹·ρ_e·c_n·R·e² | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "resistivity": "-1", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | elem_charge,gas_constant,length,mass,molar_energy,resistivity,thermal_cond | m·ℓ·κ·ρ_e·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁸·κ·ρ_e⁻³·E_m·R⁻¹·e⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁸·ρ_e³·E_m⁻¹·R·e⁶ | null | 1 | 5 | 8 | 22 | 21.4 | -13.4 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "resistivity": "-3", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-6"} |
7 | avogadro,elem_charge,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·ρ_e·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ·ρ_e⁻¹·R⁻¹·e⁻²·N_A | m = k₀ · ℓ⁻⁴·κ⁻¹·ρ_e·R·e²·N_A⁻¹ | null | 2 | 5 | 4 | 11 | 12.7 | -6.2 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "resistivity": "-1", "gas_constant": "-1", "elem_charge": "-2", "avogadro": "1"} |
6 | boltzmann,elem_charge,length,mass,resistivity,thermal_cond | m·ℓ·κ·ρ_e·k_B·e | constants,em,mechanics,thermo | m·ℓ⁴·κ·ρ_e⁻¹·k_B⁻¹·e⁻² | m = k₀ · ℓ⁻⁴·κ⁻¹·ρ_e·k_B·e² | null | 2 | 4 | 4 | 10 | 11.1 | -4.1 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "resistivity": "-1", "boltzmann": "-1", "elem_charge": "-2"} |
6 | amount,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·n·E_m·R | chemistry,mechanics,thermo | m·ℓ⁴·κ²·n⁻³·E_m⁻¹·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·n³·E_m·R² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "amount": "-3", "molar_energy": "-1", "gas_constant": "-2"} |
6 | amount,boltzmann,length,mass,molar_energy,thermal_cond | m·ℓ·κ·n·E_m·k_B | chemistry,constants,mechanics,thermo | m·ℓ⁴·κ²·n⁻¹·E_m⁻¹·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·n·E_m·k_B² | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "amount": "-1", "molar_energy": "-1", "boltzmann": "-2"} |
6 | amount,gas_constant,grav_const,length,mass,thermal_cond | m·ℓ·κ·n·R·G | chemistry,constants,mechanics,thermo | m·ℓ⁻⁵·κ⁻²·n²·R²·G | m = k₀ · ℓ⁵·κ²·n⁻²·R⁻²·G⁻¹ | null | 1 | 4 | 5 | 13 | 12.7 | -4.2 | false | {"mass": "1", "length": "-5", "thermal_cond": "-2", "amount": "2", "gas_constant": "2", "grav_const": "1"} |
6 | amount,gas_constant,length,mass,planck,thermal_cond | m·ℓ·κ·n·R·h | chemistry,constants,mechanics,thermo | m·ℓ³·κ·n⁻¹·R⁻¹·h⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·n·R·h | null | 1 | 4 | 3 | 8 | 8.2 | 0.3 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "amount": "-1", "gas_constant": "-1", "planck": "-1"} |
6 | gas_constant,length,mass,molar_energy,molar_mass,thermal_cond | m·ℓ·κ·M_m·E_m·R | chemistry,mechanics,thermo | m²·ℓ⁻⁴·κ⁻²·M_m⁻³·E_m·R² | E_m = k₀ · m⁻²·ℓ⁴·κ²·M_m³·R⁻² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "length": "-4", "thermal_cond": "-2", "molar_mass": "-3", "molar_energy": "1", "gas_constant": "2"} |
6 | gas_constant,length,light_speed,mass,molar_mass,thermal_cond | m·ℓ·κ·M_m·R·c₀ | chemistry,constants,mechanics,thermo | m·ℓ⁻²·κ⁻¹·M_m⁻¹·R·c₀ | m = k₀ · ℓ²·κ·M_m·R⁻¹·c₀⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1", "light_speed": "1"} |
6 | gas_constant,grav_const,length,mass,molar_mass,thermal_cond | m·ℓ·κ·M_m·R·G | chemistry,constants,mechanics,thermo | m³·ℓ⁻⁵·κ⁻²·M_m⁻²·R²·G | G = k₀ · m⁻³·ℓ⁵·κ²·M_m²·R⁻² | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "3", "length": "-5", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2", "grav_const": "1"} |
6 | boltzmann,cat_activity,length,mass,molar_mass,thermal_cond | m·ℓ·κ·M_m·z·k_B | chemistry,constants,mechanics,thermo | m·ℓ·κ·M_m⁻¹·z⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·M_m·z·k_B | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "molar_mass": "-1", "cat_activity": "-1", "boltzmann": "-1"} |
6 | concentration,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·c_n·E_m·R | chemistry,mechanics,thermo | m·ℓ⁻⁵·κ²·c_n⁻³·E_m⁻¹·R⁻² | m = k₀ · ℓ⁵·κ⁻²·c_n³·E_m·R² | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "concentration": "-3", "molar_energy": "-1", "gas_constant": "-2"} |
6 | boltzmann,concentration,length,mass,molar_energy,thermal_cond | m·ℓ·κ·c_n·E_m·k_B | chemistry,constants,mechanics,thermo | m·ℓ·κ²·c_n⁻¹·E_m⁻¹·k_B⁻² | m = k₀ · ℓ⁻¹·κ⁻²·c_n·E_m·k_B² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "concentration": "-1", "molar_energy": "-1", "boltzmann": "-2"} |
6 | concentration,gas_constant,grav_const,length,mass,thermal_cond | m·ℓ·κ·c_n·R·G | chemistry,constants,mechanics,thermo | m·ℓ·κ⁻²·c_n²·R²·G | m = k₀ · ℓ⁻¹·κ²·c_n⁻²·R⁻²·G⁻¹ | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-2", "concentration": "2", "gas_constant": "2", "grav_const": "1"} |
6 | gas_constant,length,light_speed,mass,molar_energy,thermal_cond | m·ℓ·κ·E_m·R·c₀ | chemistry,constants,mechanics,thermo | m·ℓ⁻²·κ⁻¹·E_m⁻¹·R·c₀³ | m = k₀ · ℓ²·κ·E_m·R⁻¹·c₀⁻³ | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1", "light_speed": "3"} |
6 | gas_constant,grav_const,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_m·R·G | chemistry,constants,mechanics,thermo | m⁵·ℓ⁻⁷·κ⁻²·E_m⁻²·R²·G³ | κ = k₀ · m⁵ᐟ²·ℓ⁻⁷ᐟ²·E_m⁻¹·R·G³ᐟ² | null | 1 | 4 | 7 | 21 | 19.3 | -10.8 | false | {"mass": "5", "length": "-7", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2", "grav_const": "3"} |
6 | gas_constant,length,mass,molar_energy,planck,thermal_cond | m·ℓ·κ·E_m·R·h | chemistry,constants,mechanics,thermo | m²·ℓ⁵·κ·E_m·R⁻¹·h⁻³ | κ = k₀ · m⁻²·ℓ⁻⁵·E_m⁻¹·R·h³ | null | 1 | 4 | 5 | 13 | 12.7 | -4.2 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "molar_energy": "1", "gas_constant": "-1", "planck": "-3"} |
6 | boltzmann,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_m·R·k_B | chemistry,constants,mechanics,thermo | m·ℓ⁴·κ²·E_m⁻¹·R·k_B⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·E_m·R⁻¹·k_B³ | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-3"} |
6 | avogadro,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_m·R·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁴·κ²·E_m⁻¹·R⁻²·N_A³ | m = k₀ · ℓ⁻⁴·κ⁻²·E_m·R²·N_A⁻³ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "molar_energy": "-1", "gas_constant": "-2", "avogadro": "3"} |
6 | boltzmann,cat_activity,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_m·z·k_B | chemistry,constants,mechanics,thermo | m·ℓ⁵·κ³·E_m⁻¹·z⁻¹·k_B⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·E_m·z·k_B³ | null | 1 | 4 | 5 | 14 | 13.4 | -4.9 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "molar_energy": "-1", "cat_activity": "-1", "boltzmann": "-3"} |
6 | avogadro,boltzmann,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_m·k_B·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁴·κ²·E_m⁻¹·k_B⁻²·N_A | m = k₀ · ℓ⁻⁴·κ⁻²·E_m·k_B²·N_A⁻¹ | null | 2 | 4 | 4 | 11 | 11.8 | -4.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "molar_energy": "-1", "boltzmann": "-2", "avogadro": "1"} |
6 | avogadro,gas_constant,grav_const,length,mass,thermal_cond | m·ℓ·κ·R·G·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁻⁵·κ⁻²·R²·G·N_A⁻² | m = k₀ · ℓ⁵·κ²·R⁻²·G⁻¹·N_A² | null | 2 | 4 | 5 | 13 | 13.7 | -6.7 | false | {"mass": "1", "length": "-5", "thermal_cond": "-2", "gas_constant": "2", "grav_const": "1", "avogadro": "-2"} |
6 | avogadro,gas_constant,length,mass,planck,thermal_cond | m·ℓ·κ·R·h·N_A | chemistry,constants,mechanics,thermo | m·ℓ³·κ·R⁻¹·h⁻¹·N_A | m = k₀ · ℓ⁻³·κ⁻¹·R·h·N_A⁻¹ | null | 2 | 4 | 3 | 8 | 9.2 | -2.2 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "gas_constant": "-1", "planck": "-1", "avogadro": "1"} |
5 | boltzmann,grav_const,length,mass,thermal_cond | m·ℓ·κ·G·k_B | constants,mechanics,thermo | m·ℓ⁻⁵·κ⁻²·G·k_B² | m = k₀ · ℓ⁵·κ²·G⁻¹·k_B⁻² | null | 2 | 3 | 5 | 11 | 11.4 | -3.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "-2", "grav_const": "1", "boltzmann": "2"} |
5 | boltzmann,length,mass,planck,thermal_cond | m·ℓ·κ·h·k_B | constants,mechanics,thermo | m·ℓ³·κ·h⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·h·k_B | null | 2 | 3 | 3 | 7 | 7.6 | -0.1 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "planck": "-1", "boltzmann": "-1"} |
6 | amount,expansion,gas_constant,length,mass,thermal_diff | m·ℓ·α·β·n·R | chemistry,mechanics,thermo | m·ℓ⁻²·α²·β·n⁻¹·R⁻¹ | m = k₀ · ℓ²·α⁻²·β⁻¹·n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"} |
6 | concentration,expansion,gas_constant,length,mass,thermal_diff | m·ℓ·α·β·c_n·R | chemistry,mechanics,thermo | m·ℓ⁻⁵·α²·β·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁵·α⁻²·β⁻¹·c_n·R | null | 0 | 3 | 5 | 11 | 10.7 | -1.7 | false | {"mass": "1", "length": "-5", "thermal_diff": "2", "expansion": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,expansion,gas_constant,length,mass,thermal_diff | m·ℓ·α·β·R·z | chemistry,mechanics,thermo | m·ℓ⁻⁴·α³·β·R⁻¹·z⁻¹ | m = k₀ · ℓ⁴·α⁻³·β⁻¹·R·z | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "thermal_diff": "3", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"} |
6 | avogadro,expansion,gas_constant,length,mass,thermal_diff | m·ℓ·α·β·R·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁻²·α²·β·R⁻¹·N_A | m = k₀ · ℓ²·α⁻²·β⁻¹·R·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"} |
5 | boltzmann,expansion,length,mass,thermal_diff | m·ℓ·α·β·k_B | constants,mechanics,thermo | m·ℓ⁻²·α²·β·k_B⁻¹ | m = k₀ · ℓ²·α⁻²·β⁻¹·k_B | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "expansion": "1", "boltzmann": "-1"} |
5 | charge,length,mass,thermal_diff,voltage | m·ℓ·α·q·U | em,mechanics,thermo | m·ℓ⁻²·α²·q⁻¹·U⁻¹ | m = k₀ · ℓ²·α⁻²·q·U | null | 0 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "charge": "-1", "voltage": "-1"} |
5 | capacitance,charge,length,mass,thermal_diff | m·ℓ·α·q·C_e | em,mechanics,thermo | m·ℓ⁻²·α²·q⁻²·C_e | m = k₀ · ℓ²·α⁻²·q²·C_e⁻¹ | null | 0 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "charge": "-2", "capacitance": "1"} |
5 | charge,efield,length,mass,thermal_diff | m·ℓ·α·q·E_f | em,mechanics,thermo | m·ℓ⁻³·α²·q⁻¹·E_f⁻¹ | m = k₀ · ℓ³·α⁻²·q·E_f | null | 0 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "-3", "thermal_diff": "2", "charge": "-1", "efield": "-1"} |
5 | bfield,charge,length,mass,thermal_diff | m·ℓ·α·q·B | em,mechanics,thermo | m·ℓ⁻²·α·q⁻¹·B⁻¹ | m = k₀ · ℓ²·α⁻¹·q·B | null | 0 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-2", "thermal_diff": "1", "charge": "-1", "bfield": "-1"} |
5 | charge,length,mass,permittivity,thermal_diff | m·ℓ·α·q·ε | em,mechanics,thermo | m·ℓ⁻¹·α²·q⁻²·ε | m = k₀ · ℓ·α⁻²·q²·ε⁻¹ | null | 0 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "thermal_diff": "2", "charge": "-2", "permittivity": "1"} |
5 | charge,conductivity,length,mass,thermal_diff | m·ℓ·α·q·σ | em,mechanics,thermo | m·ℓ·α·q⁻²·σ | m = k₀ · ℓ⁻¹·α⁻¹·q²·σ⁻¹ | null | 0 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "1", "thermal_diff": "1", "charge": "-2", "conductivity": "1"} |
5 | charge,length,mass,resistivity,thermal_diff | m·ℓ·α·q·ρ_e | em,mechanics,thermo | m·ℓ·α·q⁻²·ρ_e⁻¹ | m = k₀ · ℓ⁻¹·α⁻¹·q²·ρ_e | null | 0 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "1", "thermal_diff": "1", "charge": "-2", "resistivity": "-1"} |
5 | current,length,mass,thermal_diff,voltage | m·ℓ·α·i·U | em,mechanics,thermo | m·ℓ⁻⁴·α³·i⁻¹·U⁻¹ | m = k₀ · ℓ⁴·α⁻³·i·U | null | 0 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "1", "length": "-4", "thermal_diff": "3", "current": "-1", "voltage": "-1"} |
5 | current,length,mass,resistance,thermal_diff | m·ℓ·α·i·R | em,mechanics,thermo | m·ℓ⁻⁴·α³·i⁻²·R⁻¹ | m = k₀ · ℓ⁴·α⁻³·i²·R | null | 0 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "-4", "thermal_diff": "3", "current": "-2", "resistance": "-1"} |
5 | capacitance,current,length,mass,thermal_diff | m·ℓ·α·i·C_e | em,mechanics,thermo | m·ℓ⁻⁶·α⁴·i⁻²·C_e | m = k₀ · ℓ⁶·α⁻⁴·i²·C_e⁻¹ | null | 0 | 3 | 6 | 14 | 13 | -4 | false | {"mass": "1", "length": "-6", "thermal_diff": "4", "current": "-2", "capacitance": "1"} |
5 | current,inductance,length,mass,thermal_diff | m·ℓ·α·i·L_e | em,mechanics,thermo | m·ℓ⁻²·α²·i⁻²·L_e⁻¹ | m = k₀ · ℓ²·α⁻²·i²·L_e | null | 0 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "current": "-2", "inductance": "-1"} |
5 | current,efield,length,mass,thermal_diff | m·ℓ·α·i·E_f | em,mechanics,thermo | m·ℓ⁻⁵·α³·i⁻¹·E_f⁻¹ | m = k₀ · ℓ⁵·α⁻³·i·E_f | null | 0 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "-5", "thermal_diff": "3", "current": "-1", "efield": "-1"} |
5 | bfield,current,length,mass,thermal_diff | m·ℓ·α·i·B | em,mechanics,thermo | m·ℓ⁻⁴·α²·i⁻¹·B⁻¹ | m = k₀ · ℓ⁴·α⁻²·i·B | null | 0 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "length": "-4", "thermal_diff": "2", "current": "-1", "bfield": "-1"} |
5 | current,length,mag_flux,mass,thermal_diff | m·ℓ·α·i·Φ | em,mechanics,thermo | m·ℓ⁻²·α²·i⁻¹·Φ⁻¹ | m = k₀ · ℓ²·α⁻²·i·Φ | null | 0 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "current": "-1", "mag_flux": "-1"} |
5 | current,length,mass,permittivity,thermal_diff | m·ℓ·α·i·ε | em,mechanics,thermo | m·ℓ⁻⁵·α⁴·i⁻²·ε | m = k₀ · ℓ⁵·α⁻⁴·i²·ε⁻¹ | null | 0 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "1", "length": "-5", "thermal_diff": "4", "current": "-2", "permittivity": "1"} |
5 | current,length,mass,permeability,thermal_diff | m·ℓ·α·i·μ₀ | em,mechanics,thermo | m·ℓ⁻³·α²·i⁻²·μ₀⁻¹ | m = k₀ · ℓ³·α⁻²·i²·μ₀ | null | 0 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "thermal_diff": "2", "current": "-2", "permeability": "-1"} |
5 | conductivity,current,length,mass,thermal_diff | m·ℓ·α·i·σ | em,mechanics,thermo | m·ℓ⁻³·α³·i⁻²·σ | m = k₀ · ℓ³·α⁻³·i²·σ⁻¹ | null | 0 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "length": "-3", "thermal_diff": "3", "current": "-2", "conductivity": "1"} |
5 | current,length,mass,resistivity,thermal_diff | m·ℓ·α·i·ρ_e | em,mechanics,thermo | m·ℓ⁻³·α³·i⁻²·ρ_e⁻¹ | m = k₀ · ℓ³·α⁻³·i²·ρ_e | null | 0 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "length": "-3", "thermal_diff": "3", "current": "-2", "resistivity": "-1"} |
5 | length,mass,resistance,thermal_diff,voltage | m·ℓ·α·U·R | em,mechanics,thermo | m·ℓ⁻⁴·α³·U⁻²·R | m = k₀ · ℓ⁴·α⁻³·U²·R⁻¹ | null | 0 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "-4", "thermal_diff": "3", "voltage": "-2", "resistance": "1"} |
5 | capacitance,length,mass,thermal_diff,voltage | m·ℓ·α·U·C_e | em,mechanics,thermo | m·ℓ⁻²·α²·U⁻²·C_e⁻¹ | m = k₀ · ℓ²·α⁻²·U²·C_e | null | 0 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "voltage": "-2", "capacitance": "-1"} |
5 | inductance,length,mass,thermal_diff,voltage | m·ℓ·α·U·L_e | em,mechanics,thermo | m·ℓ⁻⁶·α⁴·U⁻²·L_e | m = k₀ · ℓ⁶·α⁻⁴·U²·L_e⁻¹ | null | 0 | 3 | 6 | 14 | 13 | -4 | false | {"mass": "1", "length": "-6", "thermal_diff": "4", "voltage": "-2", "inductance": "1"} |
5 | length,mass,permittivity,thermal_diff,voltage | m·ℓ·α·U·ε | em,mechanics,thermo | m·ℓ⁻³·α²·U⁻²·ε⁻¹ | m = k₀ · ℓ³·α⁻²·U²·ε | null | 0 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "thermal_diff": "2", "voltage": "-2", "permittivity": "-1"} |
5 | length,mass,permeability,thermal_diff,voltage | m·ℓ·α·U·μ₀ | em,mechanics,thermo | m·ℓ⁻⁵·α⁴·U⁻²·μ₀ | m = k₀ · ℓ⁵·α⁻⁴·U²·μ₀⁻¹ | null | 0 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "1", "length": "-5", "thermal_diff": "4", "voltage": "-2", "permeability": "1"} |
5 | conductivity,length,mass,thermal_diff,voltage | m·ℓ·α·U·σ | em,mechanics,thermo | m·ℓ⁻⁵·α³·U⁻²·σ⁻¹ | m = k₀ · ℓ⁵·α⁻³·U²·σ | null | 0 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "1", "length": "-5", "thermal_diff": "3", "voltage": "-2", "conductivity": "-1"} |
5 | length,mass,resistivity,thermal_diff,voltage | m·ℓ·α·U·ρ_e | em,mechanics,thermo | m·ℓ⁻⁵·α³·U⁻²·ρ_e | m = k₀ · ℓ⁵·α⁻³·U²·ρ_e⁻¹ | null | 0 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "1", "length": "-5", "thermal_diff": "3", "voltage": "-2", "resistivity": "1"} |
5 | elem_charge,length,mass,thermal_diff,voltage | m·ℓ·α·U·e | constants,em,mechanics,thermo | m·ℓ⁻²·α²·U⁻¹·e⁻¹ | m = k₀ · ℓ²·α⁻²·U·e | null | 1 | 4 | 2 | 7 | 6.7 | 1.8 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "voltage": "-1", "elem_charge": "-1"} |
5 | efield,length,mass,resistance,thermal_diff | m·ℓ·α·R·E_f | em,mechanics,thermo | m·ℓ⁻⁶·α³·R·E_f⁻² | m = k₀ · ℓ⁶·α⁻³·R⁻¹·E_f² | null | 0 | 3 | 6 | 13 | 12.3 | -3.3 | false | {"mass": "1", "length": "-6", "thermal_diff": "3", "resistance": "1", "efield": "-2"} |
5 | bfield,length,mass,resistance,thermal_diff | m·ℓ·α·R·B | em,mechanics,thermo | m·ℓ⁻⁴·α·R·B⁻² | m = k₀ · ℓ⁴·α⁻¹·R⁻¹·B² | null | 0 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "length": "-4", "thermal_diff": "1", "resistance": "1", "bfield": "-2"} |
5 | capacitance,efield,length,mass,thermal_diff | m·ℓ·α·C_e·E_f | em,mechanics,thermo | m·ℓ⁻⁴·α²·C_e⁻¹·E_f⁻² | m = k₀ · ℓ⁴·α⁻²·C_e·E_f² | null | 0 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "1", "length": "-4", "thermal_diff": "2", "capacitance": "-1", "efield": "-2"} |
5 | capacitance,elem_charge,length,mass,thermal_diff | m·ℓ·α·C_e·e | constants,em,mechanics,thermo | m·ℓ⁻²·α²·C_e·e⁻² | m = k₀ · ℓ²·α⁻²·C_e⁻¹·e² | null | 1 | 4 | 2 | 8 | 7.4 | 1.1 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "capacitance": "1", "elem_charge": "-2"} |
5 | efield,inductance,length,mass,thermal_diff | m·ℓ·α·L_e·E_f | em,mechanics,thermo | m·ℓ⁻⁸·α⁴·L_e·E_f⁻² | m = k₀ · ℓ⁸·α⁻⁴·L_e⁻¹·E_f² | null | 0 | 3 | 8 | 16 | 15.4 | -6.4 | false | {"mass": "1", "length": "-8", "thermal_diff": "4", "inductance": "1", "efield": "-2"} |
5 | bfield,inductance,length,mass,thermal_diff | m·ℓ·α·L_e·B | em,mechanics,thermo | m·ℓ⁻⁶·α²·L_e·B⁻² | m = k₀ · ℓ⁶·α⁻²·L_e⁻¹·B² | null | 0 | 3 | 6 | 12 | 11.6 | -2.6 | false | {"mass": "1", "length": "-6", "thermal_diff": "2", "inductance": "1", "bfield": "-2"} |
5 | inductance,length,mag_flux,mass,thermal_diff | m·ℓ·α·L_e·Φ | em,mechanics,thermo | m·ℓ⁻²·α²·L_e·Φ⁻² | m = k₀ · ℓ²·α⁻²·L_e⁻¹·Φ² | null | 0 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "inductance": "1", "mag_flux": "-2"} |
5 | efield,length,mass,permittivity,thermal_diff | m·ℓ·α·E_f·ε | em,mechanics,thermo | m·ℓ⁻⁵·α²·E_f⁻²·ε⁻¹ | m = k₀ · ℓ⁵·α⁻²·E_f²·ε | null | 0 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "-5", "thermal_diff": "2", "efield": "-2", "permittivity": "-1"} |
5 | efield,length,mass,permeability,thermal_diff | m·ℓ·α·E_f·μ₀ | em,mechanics,thermo | m·ℓ⁻⁷·α⁴·E_f⁻²·μ₀ | m = k₀ · ℓ⁷·α⁻⁴·E_f²·μ₀⁻¹ | null | 0 | 3 | 7 | 15 | 14.2 | -5.2 | false | {"mass": "1", "length": "-7", "thermal_diff": "4", "efield": "-2", "permeability": "1"} |
5 | conductivity,efield,length,mass,thermal_diff | m·ℓ·α·E_f·σ | em,mechanics,thermo | m·ℓ⁻⁷·α³·E_f⁻²·σ⁻¹ | m = k₀ · ℓ⁷·α⁻³·E_f²·σ | null | 0 | 3 | 7 | 14 | 13.5 | -4.5 | false | {"mass": "1", "length": "-7", "thermal_diff": "3", "efield": "-2", "conductivity": "-1"} |
5 | efield,length,mass,resistivity,thermal_diff | m·ℓ·α·E_f·ρ_e | em,mechanics,thermo | m·ℓ⁻⁷·α³·E_f⁻²·ρ_e | m = k₀ · ℓ⁷·α⁻³·E_f²·ρ_e⁻¹ | null | 0 | 3 | 7 | 14 | 13.5 | -4.5 | false | {"mass": "1", "length": "-7", "thermal_diff": "3", "efield": "-2", "resistivity": "1"} |
5 | efield,elem_charge,length,mass,thermal_diff | m·ℓ·α·E_f·e | constants,em,mechanics,thermo | m·ℓ⁻³·α²·E_f⁻¹·e⁻¹ | m = k₀ · ℓ³·α⁻²·E_f·e | null | 1 | 4 | 3 | 8 | 7.9 | 0.6 | false | {"mass": "1", "length": "-3", "thermal_diff": "2", "efield": "-1", "elem_charge": "-1"} |
5 | bfield,length,mass,permeability,thermal_diff | m·ℓ·α·B·μ₀ | em,mechanics,thermo | m·ℓ⁻⁵·α²·B⁻²·μ₀ | m = k₀ · ℓ⁵·α⁻²·B²·μ₀⁻¹ | null | 0 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "-5", "thermal_diff": "2", "bfield": "-2", "permeability": "1"} |
5 | bfield,conductivity,length,mass,thermal_diff | m·ℓ·α·B·σ | em,mechanics,thermo | m·ℓ⁻⁵·α·B⁻²·σ⁻¹ | m = k₀ · ℓ⁵·α⁻¹·B²·σ | null | 0 | 3 | 5 | 10 | 9.7 | -0.7 | false | {"mass": "1", "length": "-5", "thermal_diff": "1", "bfield": "-2", "conductivity": "-1"} |
5 | bfield,length,mass,resistivity,thermal_diff | m·ℓ·α·B·ρ_e | em,mechanics,thermo | m·ℓ⁻⁵·α·B⁻²·ρ_e | m = k₀ · ℓ⁵·α⁻¹·B²·ρ_e⁻¹ | null | 0 | 3 | 5 | 10 | 9.7 | -0.7 | false | {"mass": "1", "length": "-5", "thermal_diff": "1", "bfield": "-2", "resistivity": "1"} |
5 | bfield,elem_charge,length,mass,thermal_diff | m·ℓ·α·B·e | constants,em,mechanics,thermo | m·ℓ⁻²·α·B⁻¹·e⁻¹ | m = k₀ · ℓ²·α⁻¹·B·e | null | 1 | 4 | 2 | 6 | 6 | 2.5 | false | {"mass": "1", "length": "-2", "thermal_diff": "1", "bfield": "-1", "elem_charge": "-1"} |
5 | length,mag_flux,mass,permeability,thermal_diff | m·ℓ·α·Φ·μ₀ | em,mechanics,thermo | m·ℓ⁻¹·α²·Φ⁻²·μ₀ | m = k₀ · ℓ·α⁻²·Φ²·μ₀⁻¹ | null | 0 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "thermal_diff": "2", "mag_flux": "-2", "permeability": "1"} |
5 | conductivity,length,mag_flux,mass,thermal_diff | m·ℓ·α·Φ·σ | em,mechanics,thermo | m·ℓ⁻¹·α·Φ⁻²·σ⁻¹ | m = k₀ · ℓ·α⁻¹·Φ²·σ | null | 0 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-1", "thermal_diff": "1", "mag_flux": "-2", "conductivity": "-1"} |
5 | length,mag_flux,mass,resistivity,thermal_diff | m·ℓ·α·Φ·ρ_e | em,mechanics,thermo | m·ℓ⁻¹·α·Φ⁻²·ρ_e | m = k₀ · ℓ·α⁻¹·Φ²·ρ_e⁻¹ | null | 0 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-1", "thermal_diff": "1", "mag_flux": "-2", "resistivity": "1"} |
5 | elem_charge,length,mass,permittivity,thermal_diff | m·ℓ·α·ε·e | constants,em,mechanics,thermo | m·ℓ⁻¹·α²·ε·e⁻² | m = k₀ · ℓ·α⁻²·ε⁻¹·e² | null | 1 | 4 | 2 | 7 | 6.7 | 1.8 | false | {"mass": "1", "length": "-1", "thermal_diff": "2", "permittivity": "1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,length,mass,thermal_diff | m·ℓ·α·σ·e | constants,em,mechanics,thermo | m·ℓ·α·σ·e⁻² | m = k₀ · ℓ⁻¹·α⁻¹·σ⁻¹·e² | null | 1 | 4 | 2 | 6 | 6 | 2.5 | false | {"mass": "1", "length": "1", "thermal_diff": "1", "conductivity": "1", "elem_charge": "-2"} |
5 | elem_charge,length,mass,resistivity,thermal_diff | m·ℓ·α·ρ_e·e | constants,em,mechanics,thermo | m·ℓ·α·ρ_e⁻¹·e⁻² | m = k₀ · ℓ⁻¹·α⁻¹·ρ_e·e² | null | 1 | 4 | 2 | 6 | 6 | 2.5 | false | {"mass": "1", "length": "1", "thermal_diff": "1", "resistivity": "-1", "elem_charge": "-2"} |
5 | amount,length,mass,molar_energy,thermal_diff | m·ℓ·α·n·E_m | chemistry,mechanics,thermo | m·ℓ⁻²·α²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ²·α⁻²·n·E_m | null | 0 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "amount": "-1", "molar_energy": "-1"} |
5 | cat_activity,length,mass,molar_mass,thermal_diff | m·ℓ·α·M_m·z | chemistry,mechanics,thermo | m·ℓ⁻²·α·M_m⁻¹·z⁻¹ | m = k₀ · ℓ²·α⁻¹·M_m·z | null | 0 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-2", "thermal_diff": "1", "molar_mass": "-1", "cat_activity": "-1"} |
5 | concentration,length,mass,molar_energy,thermal_diff | m·ℓ·α·c_n·E_m | chemistry,mechanics,thermo | m·ℓ⁻⁵·α²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁵·α⁻²·c_n·E_m | null | 0 | 3 | 5 | 10 | 9.7 | -0.7 | false | {"mass": "1", "length": "-5", "thermal_diff": "2", "concentration": "-1", "molar_energy": "-1"} |
6 | boltzmann,gas_constant,length,mass,molar_energy,thermal_diff | m·ℓ·α·E_m·R·k_B | chemistry,constants,mechanics,thermo | m·ℓ⁻²·α²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ²·α⁻²·E_m·R⁻¹·k_B | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
5 | cat_activity,length,mass,molar_energy,thermal_diff | m·ℓ·α·E_m·z | chemistry,mechanics,thermo | m·ℓ⁻⁴·α³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁴·α⁻³·E_m·z | null | 0 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "1", "length": "-4", "thermal_diff": "3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | avogadro,length,mass,molar_energy,thermal_diff | m·ℓ·α·E_m·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁻²·α²·E_m⁻¹·N_A | m = k₀ · ℓ²·α⁻²·E_m·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 6.7 | 1.8 | false | {"mass": "1", "length": "-2", "thermal_diff": "2", "molar_energy": "-1", "avogadro": "1"} |
4 | grav_const,length,mass,thermal_diff | m·ℓ·α·G | constants,mechanics,thermo | m·ℓ·α⁻²·G | m = k₀ · ℓ⁻¹·α²·G⁻¹ | null | 1 | 3 | 2 | 5 | 4.4 | 4.6 | false | {"mass": "1", "length": "1", "thermal_diff": "-2", "grav_const": "1"} |
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