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 | bfield,concentration,efield,expansion,gas_constant,mass,time | m·t·β·E_f·B·c_n·R | chemistry,em,mechanics,thermo | m·t⁻³·β·E_f⁻¹·B·c_n⁻¹·R⁻¹ | m = k₀ · t³·β⁻¹·E_f·B⁻¹·c_n·R | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "time": "-3", "expansion": "1", "efield": "-1", "bfield": "1", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,cat_activity,efield,expansion,gas_constant,mass,time | m·t·β·E_f·B·R·z | chemistry,em,mechanics,thermo | m·t⁻¹·β·E_f²·B⁻²·R⁻¹·z⁻¹ | m = k₀ · t·β⁻¹·E_f⁻²·B²·R·z | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "time": "-1", "expansion": "1", "efield": "2", "bfield": "-2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | amount,efield,expansion,gas_constant,mag_flux,mass,time | m·t·β·E_f·Φ·n·R | chemistry,em,mechanics,thermo | m·t⁻⁴·β·E_f⁻²·Φ²·n⁻¹·R⁻¹ | m = k₀ · t⁴·β⁻¹·E_f²·Φ⁻²·n·R | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "time": "-4", "expansion": "1", "efield": "-2", "mag_flux": "2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,efield,expansion,gas_constant,mag_flux,mass,time | m·t·β·E_f·Φ·c_n·R | chemistry,em,mechanics,thermo | m·t⁻¹·β·E_f·Φ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · t·β⁻¹·E_f⁻¹·Φ·c_n·R | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "time": "-1", "expansion": "1", "efield": "1", "mag_flux": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,mag_flux,mass,time | m·t·β·E_f·Φ·R·z | chemistry,em,mechanics,thermo | m·t⁻⁵·β·E_f⁻²·Φ²·R⁻¹·z⁻¹ | m = k₀ · t⁵·β⁻¹·E_f²·Φ⁻²·R·z | null | 0 | 4 | 5 | 13 | 13 | -4.5 | false | {"mass": "1", "time": "-5", "expansion": "1", "efield": "-2", "mag_flux": "2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,efield,expansion,gas_constant,mag_flux,mass,time | m·t·β·E_f·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻⁴·β·E_f⁻²·Φ²·R⁻¹·N_A | m = k₀ · t⁴·β⁻¹·E_f²·Φ⁻²·R·N_A⁻¹ | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "1", "time": "-4", "expansion": "1", "efield": "-2", "mag_flux": "2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,efield,expansion,mag_flux,mass,time | m·t·β·E_f·Φ·k_B | constants,em,mechanics,thermo | m·t⁻⁴·β·E_f⁻²·Φ²·k_B⁻¹ | m = k₀ · t⁴·β⁻¹·E_f²·Φ⁻²·k_B | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "time": "-4", "expansion": "1", "efield": "-2", "mag_flux": "2", "boltzmann": "-1"} |
7 | amount,efield,expansion,gas_constant,mass,permittivity,time | m·t·β·E_f·ε·n·R | chemistry,em,mechanics,thermo | m³·t⁻⁶·β·E_f⁻⁴·ε⁻²·n⁻¹·R⁻¹ | β = k₀ · m⁻³·t⁶·E_f⁴·ε²·n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "time": "-6", "expansion": "1", "efield": "-4", "permittivity": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | efield,expansion,gas_constant,mass,molar_mass,permittivity,time | m·t·β·E_f·ε·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β·E_f⁻⁴·ε⁻²·M_m·R⁻¹ | β = k₀ · m⁻²·t⁶·E_f⁴·ε²·M_m⁻¹·R | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "2", "time": "-6", "expansion": "1", "efield": "-4", "permittivity": "-2", "molar_mass": "1", "gas_constant": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,mass,permittivity,time | m·t·β·E_f·ε·R·z | chemistry,em,mechanics,thermo | m³·t⁻⁷·β·E_f⁻⁴·ε⁻²·R⁻¹·z⁻¹ | β = k₀ · m⁻³·t⁷·E_f⁴·ε²·R·z | null | 0 | 4 | 7 | 19 | 18.2 | -9.7 | false | {"mass": "3", "time": "-7", "expansion": "1", "efield": "-4", "permittivity": "-2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,efield,expansion,gas_constant,mass,permittivity,time | m·t·β·E_f·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m³·t⁻⁶·β·E_f⁻⁴·ε⁻²·R⁻¹·N_A | β = k₀ · m⁻³·t⁶·E_f⁴·ε²·R·N_A⁻¹ | null | 1 | 5 | 6 | 18 | 17.6 | -9.6 | false | {"mass": "3", "time": "-6", "expansion": "1", "efield": "-4", "permittivity": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,efield,expansion,mass,permittivity,time | m·t·β·E_f·ε·k_B | constants,em,mechanics,thermo | m³·t⁻⁶·β·E_f⁻⁴·ε⁻²·k_B⁻¹ | β = k₀ · m⁻³·t⁶·E_f⁴·ε²·k_B | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "3", "time": "-6", "expansion": "1", "efield": "-4", "permittivity": "-2", "boltzmann": "-1"} |
7 | amount,efield,expansion,gas_constant,mass,permeability,time | m·t·β·E_f·μ₀·n·R | chemistry,em,mechanics,thermo | m·t⁻⁶·β⁻¹·E_f⁻⁴·μ₀²·n·R | m = k₀ · t⁶·β·E_f⁴·μ₀⁻²·n⁻¹·R⁻¹ | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "time": "-6", "expansion": "-1", "efield": "-4", "permeability": "2", "amount": "1", "gas_constant": "1"} |
7 | efield,expansion,gas_constant,mass,molar_mass,permeability,time | m·t·β·E_f·μ₀·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β⁻¹·E_f⁻⁴·μ₀²·M_m⁻¹·R | β = k₀ · m²·t⁻⁶·E_f⁻⁴·μ₀²·M_m⁻¹·R | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "2", "time": "-6", "expansion": "-1", "efield": "-4", "permeability": "2", "molar_mass": "-1", "gas_constant": "1"} |
7 | concentration,efield,expansion,gas_constant,mass,permeability,time | m·t·β·E_f·μ₀·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β·E_f⁻²·μ₀·c_n⁻¹·R⁻¹ | β = k₀ · m⁻²·t⁶·E_f²·μ₀⁻¹·c_n·R | null | 0 | 4 | 6 | 14 | 14.2 | -5.7 | false | {"mass": "2", "time": "-6", "expansion": "1", "efield": "-2", "permeability": "1", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,mass,permeability,time | m·t·β·E_f·μ₀·R·z | chemistry,em,mechanics,thermo | m·t⁻⁵·β⁻¹·E_f⁻⁴·μ₀²·R·z | m = k₀ · t⁵·β·E_f⁴·μ₀⁻²·R⁻¹·z⁻¹ | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "time": "-5", "expansion": "-1", "efield": "-4", "permeability": "2", "gas_constant": "1", "cat_activity": "1"} |
7 | avogadro,efield,expansion,gas_constant,mass,permeability,time | m·t·β·E_f·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻⁶·β⁻¹·E_f⁻⁴·μ₀²·R·N_A⁻¹ | m = k₀ · t⁶·β·E_f⁴·μ₀⁻²·R⁻¹·N_A | null | 1 | 5 | 6 | 16 | 16.2 | -8.2 | false | {"mass": "1", "time": "-6", "expansion": "-1", "efield": "-4", "permeability": "2", "gas_constant": "1", "avogadro": "-1"} |
6 | boltzmann,efield,expansion,mass,permeability,time | m·t·β·E_f·μ₀·k_B | constants,em,mechanics,thermo | m·t⁻⁶·β⁻¹·E_f⁻⁴·μ₀²·k_B | m = k₀ · t⁶·β·E_f⁴·μ₀⁻²·k_B⁻¹ | null | 1 | 4 | 6 | 15 | 14.6 | -6.1 | false | {"mass": "1", "time": "-6", "expansion": "-1", "efield": "-4", "permeability": "2", "boltzmann": "1"} |
7 | amount,conductivity,efield,expansion,gas_constant,mass,time | m·t·β·E_f·σ·n·R | chemistry,em,mechanics,thermo | m³·t⁻⁸·β·E_f⁻⁴·σ⁻²·n⁻¹·R⁻¹ | β = k₀ · m⁻³·t⁸·E_f⁴·σ²·n·R | null | 0 | 4 | 8 | 20 | 19.4 | -10.9 | false | {"mass": "3", "time": "-8", "expansion": "1", "efield": "-4", "conductivity": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | conductivity,efield,expansion,gas_constant,mass,molar_mass,time | m·t·β·E_f·σ·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁸·β·E_f⁻⁴·σ⁻²·M_m·R⁻¹ | β = k₀ · m⁻²·t⁸·E_f⁴·σ²·M_m⁻¹·R | null | 0 | 4 | 8 | 19 | 18.7 | -10.2 | false | {"mass": "2", "time": "-8", "expansion": "1", "efield": "-4", "conductivity": "-2", "molar_mass": "1", "gas_constant": "-1"} |
7 | cat_activity,conductivity,efield,expansion,gas_constant,mass,time | m·t·β·E_f·σ·R·z | chemistry,em,mechanics,thermo | m³·t⁻⁹·β·E_f⁻⁴·σ⁻²·R⁻¹·z⁻¹ | β = k₀ · m⁻³·t⁹·E_f⁴·σ²·R·z | null | 0 | 4 | 9 | 21 | 20.6 | -12.1 | false | {"mass": "3", "time": "-9", "expansion": "1", "efield": "-4", "conductivity": "-2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,conductivity,efield,expansion,gas_constant,mass,time | m·t·β·E_f·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m³·t⁻⁸·β·E_f⁻⁴·σ⁻²·R⁻¹·N_A | β = k₀ · m⁻³·t⁸·E_f⁴·σ²·R·N_A⁻¹ | null | 1 | 5 | 8 | 20 | 20 | -12 | false | {"mass": "3", "time": "-8", "expansion": "1", "efield": "-4", "conductivity": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,conductivity,efield,expansion,mass,time | m·t·β·E_f·σ·k_B | constants,em,mechanics,thermo | m³·t⁻⁸·β·E_f⁻⁴·σ⁻²·k_B⁻¹ | β = k₀ · m⁻³·t⁸·E_f⁴·σ²·k_B | null | 1 | 4 | 8 | 19 | 18.4 | -9.9 | false | {"mass": "3", "time": "-8", "expansion": "1", "efield": "-4", "conductivity": "-2", "boltzmann": "-1"} |
7 | amount,efield,expansion,gas_constant,mass,resistivity,time | m·t·β·E_f·ρ_e·n·R | chemistry,em,mechanics,thermo | m³·t⁻⁸·β·E_f⁻⁴·ρ_e²·n⁻¹·R⁻¹ | β = k₀ · m⁻³·t⁸·E_f⁴·ρ_e⁻²·n·R | null | 0 | 4 | 8 | 20 | 19.4 | -10.9 | false | {"mass": "3", "time": "-8", "expansion": "1", "efield": "-4", "resistivity": "2", "amount": "-1", "gas_constant": "-1"} |
7 | efield,expansion,gas_constant,mass,molar_mass,resistivity,time | m·t·β·E_f·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁸·β·E_f⁻⁴·ρ_e²·M_m·R⁻¹ | β = k₀ · m⁻²·t⁸·E_f⁴·ρ_e⁻²·M_m⁻¹·R | null | 0 | 4 | 8 | 19 | 18.7 | -10.2 | false | {"mass": "2", "time": "-8", "expansion": "1", "efield": "-4", "resistivity": "2", "molar_mass": "1", "gas_constant": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,mass,resistivity,time | m·t·β·E_f·ρ_e·R·z | chemistry,em,mechanics,thermo | m³·t⁻⁹·β·E_f⁻⁴·ρ_e²·R⁻¹·z⁻¹ | β = k₀ · m⁻³·t⁹·E_f⁴·ρ_e⁻²·R·z | null | 0 | 4 | 9 | 21 | 20.6 | -12.1 | false | {"mass": "3", "time": "-9", "expansion": "1", "efield": "-4", "resistivity": "2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,efield,expansion,gas_constant,mass,resistivity,time | m·t·β·E_f·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m³·t⁻⁸·β·E_f⁻⁴·ρ_e²·R⁻¹·N_A | β = k₀ · m⁻³·t⁸·E_f⁴·ρ_e⁻²·R·N_A⁻¹ | null | 1 | 5 | 8 | 20 | 20 | -12 | false | {"mass": "3", "time": "-8", "expansion": "1", "efield": "-4", "resistivity": "2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,efield,expansion,mass,resistivity,time | m·t·β·E_f·ρ_e·k_B | constants,em,mechanics,thermo | m³·t⁻⁸·β·E_f⁻⁴·ρ_e²·k_B⁻¹ | β = k₀ · m⁻³·t⁸·E_f⁴·ρ_e⁻²·k_B | null | 1 | 4 | 8 | 19 | 18.4 | -9.9 | false | {"mass": "3", "time": "-8", "expansion": "1", "efield": "-4", "resistivity": "2", "boltzmann": "-1"} |
7 | amount,efield,elem_charge,expansion,gas_constant,mass,time | m·t·β·E_f·n·R·e | chemistry,constants,em,mechanics,thermo | m·t⁻²·β⁻¹·E_f⁻²·n·R·e⁻² | m = k₀ · t²·β·E_f²·n⁻¹·R⁻¹·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "time": "-2", "expansion": "-1", "efield": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-2"} |
7 | efield,elem_charge,expansion,gas_constant,mass,molar_mass,time | m·t·β·E_f·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·t⁻²·β⁻¹·E_f⁻²·M_m⁻¹·R·e⁻² | β = k₀ · m²·t⁻²·E_f⁻²·M_m⁻¹·R·e⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "2", "time": "-2", "expansion": "-1", "efield": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"} |
7 | concentration,efield,elem_charge,expansion,gas_constant,mass,time | m·t·β·E_f·c_n·R·e | chemistry,constants,em,mechanics,thermo | m²·t⁻⁴·β·E_f⁻¹·c_n⁻¹·R⁻¹·e⁻¹ | β = k₀ · m⁻²·t⁴·E_f·c_n·R·e | null | 1 | 5 | 4 | 11 | 11.7 | -3.7 | false | {"mass": "2", "time": "-4", "expansion": "1", "efield": "-1", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-1"} |
7 | cat_activity,efield,elem_charge,expansion,gas_constant,mass,time | m·t·β·E_f·R·z·e | chemistry,constants,em,mechanics,thermo | m·t⁻¹·β⁻¹·E_f⁻²·R·z·e⁻² | m = k₀ · t·β·E_f²·R⁻¹·z⁻¹·e² | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "time": "-1", "expansion": "-1", "efield": "-2", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
7 | avogadro,efield,elem_charge,expansion,gas_constant,mass,time | m·t·β·E_f·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻²·β⁻¹·E_f⁻²·R·e⁻²·N_A⁻¹ | m = k₀ · t²·β·E_f²·R⁻¹·e²·N_A | null | 2 | 5 | 2 | 10 | 11 | -4.5 | false | {"mass": "1", "time": "-2", "expansion": "-1", "efield": "-2", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"} |
6 | boltzmann,efield,elem_charge,expansion,mass,time | m·t·β·E_f·k_B·e | constants,em,mechanics,thermo | m·t⁻²·β⁻¹·E_f⁻²·k_B·e⁻² | m = k₀ · t²·β·E_f²·k_B⁻¹·e² | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "time": "-2", "expansion": "-1", "efield": "-2", "boltzmann": "1", "elem_charge": "-2"} |
7 | amount,bfield,expansion,gas_constant,mag_flux,mass,time | m·t·β·B·Φ·n·R | chemistry,em,mechanics,thermo | m·t⁻²·β·B⁻¹·Φ·n⁻¹·R⁻¹ | m = k₀ · t²·β⁻¹·B·Φ⁻¹·n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "bfield": "-1", "mag_flux": "1", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,concentration,expansion,gas_constant,mag_flux,mass,time | m·t·β·B·Φ·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁴·β²·B·Φ⁻¹·c_n⁻²·R⁻² | B = k₀ · m⁻²·t⁴·β⁻²·Φ·c_n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "2", "time": "-4", "expansion": "2", "bfield": "1", "mag_flux": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | bfield,cat_activity,expansion,gas_constant,mag_flux,mass,time | m·t·β·B·Φ·R·z | chemistry,em,mechanics,thermo | m·t⁻³·β·B⁻¹·Φ·R⁻¹·z⁻¹ | m = k₀ · t³·β⁻¹·B·Φ⁻¹·R·z | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "time": "-3", "expansion": "1", "bfield": "-1", "mag_flux": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,bfield,expansion,gas_constant,mag_flux,mass,time | m·t·β·B·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻²·β·B⁻¹·Φ·R⁻¹·N_A | m = k₀ · t²·β⁻¹·B·Φ⁻¹·R·N_A⁻¹ | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "time": "-2", "expansion": "1", "bfield": "-1", "mag_flux": "1", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,expansion,mag_flux,mass,time | m·t·β·B·Φ·k_B | constants,em,mechanics,thermo | m·t⁻²·β·B⁻¹·Φ·k_B⁻¹ | m = k₀ · t²·β⁻¹·B·Φ⁻¹·k_B | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "bfield": "-1", "mag_flux": "1", "boltzmann": "-1"} |
7 | amount,bfield,expansion,gas_constant,mass,permittivity,time | m·t·β·B·ε·n·R | chemistry,em,mechanics,thermo | m⁵·t⁻⁶·β³·B⁻⁴·ε⁻²·n⁻³·R⁻³ | ε = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·B⁻²·n⁻³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 6 | 26 | 22.6 | -14.1 | false | {"mass": "5", "time": "-6", "expansion": "3", "bfield": "-4", "permittivity": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | bfield,expansion,gas_constant,mass,molar_mass,permittivity,time | m·t·β·B·ε·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β³·B⁻⁴·ε⁻²·M_m³·R⁻³ | m = k₀ · t³·β⁻³ᐟ²·B²·ε·M_m⁻³ᐟ²·R³ᐟ² | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "2", "time": "-6", "expansion": "3", "bfield": "-4", "permittivity": "-2", "molar_mass": "3", "gas_constant": "-3"} |
7 | bfield,concentration,expansion,gas_constant,mass,permittivity,time | m·t·β·B·ε·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β³·B²·ε·c_n⁻³·R⁻³ | ε = k₀ · m⁻²·t⁶·β⁻³·B⁻²·c_n³·R³ | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "2", "time": "-6", "expansion": "3", "bfield": "2", "permittivity": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,permittivity,time | m·t·β·B·ε·R·z | chemistry,em,mechanics,thermo | m⁵·t⁻⁹·β³·B⁻⁴·ε⁻²·R⁻³·z⁻³ | ε = k₀ · m⁵ᐟ²·t⁻⁹ᐟ²·β³ᐟ²·B⁻²·R⁻³ᐟ²·z⁻³ᐟ² | null | 0 | 4 | 9 | 29 | 26.2 | -17.7 | false | {"mass": "5", "time": "-9", "expansion": "3", "bfield": "-4", "permittivity": "-2", "gas_constant": "-3", "cat_activity": "-3"} |
7 | avogadro,bfield,expansion,gas_constant,mass,permittivity,time | m·t·β·B·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m⁵·t⁻⁶·β³·B⁻⁴·ε⁻²·R⁻³·N_A³ | ε = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·B⁻²·R⁻³ᐟ²·N_A³ᐟ² | null | 1 | 5 | 6 | 26 | 23.2 | -15.2 | false | {"mass": "5", "time": "-6", "expansion": "3", "bfield": "-4", "permittivity": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | bfield,boltzmann,expansion,mass,permittivity,time | m·t·β·B·ε·k_B | constants,em,mechanics,thermo | m⁵·t⁻⁶·β³·B⁻⁴·ε⁻²·k_B⁻³ | ε = k₀ · m⁵ᐟ²·t⁻³·β³ᐟ²·B⁻²·k_B⁻³ᐟ² | null | 1 | 4 | 6 | 23 | 20.2 | -11.7 | false | {"mass": "5", "time": "-6", "expansion": "3", "bfield": "-4", "permittivity": "-2", "boltzmann": "-3"} |
7 | amount,bfield,expansion,gas_constant,mass,permeability,time | m·t·β·B·μ₀·n·R | chemistry,em,mechanics,thermo | m³·t⁻⁶·β·B⁻⁴·μ₀²·n⁻¹·R⁻¹ | β = k₀ · m⁻³·t⁶·B⁴·μ₀⁻²·n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "time": "-6", "expansion": "1", "bfield": "-4", "permeability": "2", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,expansion,gas_constant,mass,molar_mass,permeability,time | m·t·β·B·μ₀·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β·B⁻⁴·μ₀²·M_m·R⁻¹ | β = k₀ · m⁻²·t⁶·B⁴·μ₀⁻²·M_m⁻¹·R | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "2", "time": "-6", "expansion": "1", "bfield": "-4", "permeability": "2", "molar_mass": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,permeability,time | m·t·β·B·μ₀·R·z | chemistry,em,mechanics,thermo | m³·t⁻⁷·β·B⁻⁴·μ₀²·R⁻¹·z⁻¹ | β = k₀ · m⁻³·t⁷·B⁴·μ₀⁻²·R·z | null | 0 | 4 | 7 | 19 | 18.2 | -9.7 | false | {"mass": "3", "time": "-7", "expansion": "1", "bfield": "-4", "permeability": "2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,bfield,expansion,gas_constant,mass,permeability,time | m·t·β·B·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m³·t⁻⁶·β·B⁻⁴·μ₀²·R⁻¹·N_A | β = k₀ · m⁻³·t⁶·B⁴·μ₀⁻²·R·N_A⁻¹ | null | 1 | 5 | 6 | 18 | 17.6 | -9.6 | false | {"mass": "3", "time": "-6", "expansion": "1", "bfield": "-4", "permeability": "2", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,expansion,mass,permeability,time | m·t·β·B·μ₀·k_B | constants,em,mechanics,thermo | m³·t⁻⁶·β·B⁻⁴·μ₀²·k_B⁻¹ | β = k₀ · m⁻³·t⁶·B⁴·μ₀⁻²·k_B | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "3", "time": "-6", "expansion": "1", "bfield": "-4", "permeability": "2", "boltzmann": "-1"} |
7 | amount,bfield,conductivity,expansion,gas_constant,mass,time | m·t·β·B·σ·n·R | chemistry,em,mechanics,thermo | m⁵·t⁻⁸·β³·B⁻⁴·σ⁻²·n⁻³·R⁻³ | σ = k₀ · m⁵ᐟ²·t⁻⁴·β³ᐟ²·B⁻²·n⁻³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 8 | 28 | 25 | -16.5 | false | {"mass": "5", "time": "-8", "expansion": "3", "bfield": "-4", "conductivity": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | bfield,conductivity,expansion,gas_constant,mass,molar_mass,time | m·t·β·B·σ·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁸·β³·B⁻⁴·σ⁻²·M_m³·R⁻³ | m = k₀ · t⁴·β⁻³ᐟ²·B²·σ·M_m⁻³ᐟ²·R³ᐟ² | null | 0 | 4 | 8 | 25 | 22.9 | -14.4 | false | {"mass": "2", "time": "-8", "expansion": "3", "bfield": "-4", "conductivity": "-2", "molar_mass": "3", "gas_constant": "-3"} |
7 | bfield,concentration,conductivity,expansion,gas_constant,mass,time | m·t·β·B·σ·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁵·β³·B²·σ·c_n⁻³·R⁻³ | σ = k₀ · m⁻²·t⁵·β⁻³·B⁻²·c_n³·R³ | null | 0 | 4 | 5 | 19 | 17.2 | -8.7 | false | {"mass": "2", "time": "-5", "expansion": "3", "bfield": "2", "conductivity": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | bfield,cat_activity,conductivity,expansion,gas_constant,mass,time | m·t·β·B·σ·R·z | chemistry,em,mechanics,thermo | m⁵·t⁻¹¹·β³·B⁻⁴·σ⁻²·R⁻³·z⁻³ | σ = k₀ · m⁵ᐟ²·t⁻¹¹ᐟ²·β³ᐟ²·B⁻²·R⁻³ᐟ²·z⁻³ᐟ² | null | 0 | 4 | 11 | 31 | 28.6 | -20.1 | false | {"mass": "5", "time": "-11", "expansion": "3", "bfield": "-4", "conductivity": "-2", "gas_constant": "-3", "cat_activity": "-3"} |
7 | avogadro,bfield,conductivity,expansion,gas_constant,mass,time | m·t·β·B·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m⁵·t⁻⁸·β³·B⁻⁴·σ⁻²·R⁻³·N_A³ | σ = k₀ · m⁵ᐟ²·t⁻⁴·β³ᐟ²·B⁻²·R⁻³ᐟ²·N_A³ᐟ² | null | 1 | 5 | 8 | 28 | 25.6 | -17.6 | false | {"mass": "5", "time": "-8", "expansion": "3", "bfield": "-4", "conductivity": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | bfield,boltzmann,conductivity,expansion,mass,time | m·t·β·B·σ·k_B | constants,em,mechanics,thermo | m⁵·t⁻⁸·β³·B⁻⁴·σ⁻²·k_B⁻³ | σ = k₀ · m⁵ᐟ²·t⁻⁴·β³ᐟ²·B⁻²·k_B⁻³ᐟ² | null | 1 | 4 | 8 | 25 | 22.6 | -14.1 | false | {"mass": "5", "time": "-8", "expansion": "3", "bfield": "-4", "conductivity": "-2", "boltzmann": "-3"} |
7 | amount,bfield,expansion,gas_constant,mass,resistivity,time | m·t·β·B·ρ_e·n·R | chemistry,em,mechanics,thermo | m⁵·t⁻⁸·β³·B⁻⁴·ρ_e²·n⁻³·R⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·β⁻³ᐟ²·B²·n³ᐟ²·R³ᐟ² | null | 0 | 4 | 8 | 28 | 25 | -16.5 | false | {"mass": "5", "time": "-8", "expansion": "3", "bfield": "-4", "resistivity": "2", "amount": "-3", "gas_constant": "-3"} |
7 | bfield,expansion,gas_constant,mass,molar_mass,resistivity,time | m·t·β·B·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·t⁻⁸·β³·B⁻⁴·ρ_e²·M_m³·R⁻³ | m = k₀ · t⁴·β⁻³ᐟ²·B²·ρ_e⁻¹·M_m⁻³ᐟ²·R³ᐟ² | null | 0 | 4 | 8 | 25 | 22.9 | -14.4 | false | {"mass": "2", "time": "-8", "expansion": "3", "bfield": "-4", "resistivity": "2", "molar_mass": "3", "gas_constant": "-3"} |
7 | bfield,concentration,expansion,gas_constant,mass,resistivity,time | m·t·β·B·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁵·β³·B²·ρ_e⁻¹·c_n⁻³·R⁻³ | ρ_e = k₀ · m²·t⁻⁵·β³·B²·c_n⁻³·R⁻³ | null | 0 | 4 | 5 | 19 | 17.2 | -8.7 | false | {"mass": "2", "time": "-5", "expansion": "3", "bfield": "2", "resistivity": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,resistivity,time | m·t·β·B·ρ_e·R·z | chemistry,em,mechanics,thermo | m⁵·t⁻¹¹·β³·B⁻⁴·ρ_e²·R⁻³·z⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t¹¹ᐟ²·β⁻³ᐟ²·B²·R³ᐟ²·z³ᐟ² | null | 0 | 4 | 11 | 31 | 28.6 | -20.1 | false | {"mass": "5", "time": "-11", "expansion": "3", "bfield": "-4", "resistivity": "2", "gas_constant": "-3", "cat_activity": "-3"} |
7 | avogadro,bfield,expansion,gas_constant,mass,resistivity,time | m·t·β·B·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m⁵·t⁻⁸·β³·B⁻⁴·ρ_e²·R⁻³·N_A³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·β⁻³ᐟ²·B²·R³ᐟ²·N_A⁻³ᐟ² | null | 1 | 5 | 8 | 28 | 25.6 | -17.6 | false | {"mass": "5", "time": "-8", "expansion": "3", "bfield": "-4", "resistivity": "2", "gas_constant": "-3", "avogadro": "3"} |
6 | bfield,boltzmann,expansion,mass,resistivity,time | m·t·β·B·ρ_e·k_B | constants,em,mechanics,thermo | m⁵·t⁻⁸·β³·B⁻⁴·ρ_e²·k_B⁻³ | ρ_e = k₀ · m⁻⁵ᐟ²·t⁴·β⁻³ᐟ²·B²·k_B³ᐟ² | null | 1 | 4 | 8 | 25 | 22.6 | -14.1 | false | {"mass": "5", "time": "-8", "expansion": "3", "bfield": "-4", "resistivity": "2", "boltzmann": "-3"} |
7 | amount,expansion,gas_constant,mag_flux,mass,permittivity,time | m·t·β·Φ·ε·n·R | chemistry,em,mechanics,thermo | m·t²·β⁻¹·Φ⁻⁴·ε⁻²·n·R | m = k₀ · t⁻²·β·Φ⁴·ε²·n⁻¹·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "time": "2", "expansion": "-1", "mag_flux": "-4", "permittivity": "-2", "amount": "1", "gas_constant": "1"} |
7 | expansion,gas_constant,mag_flux,mass,molar_mass,permittivity,time | m·t·β·Φ·ε·M_m·R | chemistry,em,mechanics,thermo | m²·t²·β⁻¹·Φ⁻⁴·ε⁻²·M_m⁻¹·R | β = k₀ · m²·t²·Φ⁻⁴·ε⁻²·M_m⁻¹·R | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "2", "time": "2", "expansion": "-1", "mag_flux": "-4", "permittivity": "-2", "molar_mass": "-1", "gas_constant": "1"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,permittivity,time | m·t·β·Φ·ε·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻²·β·Φ⁻²·ε⁻¹·c_n⁻¹·R⁻¹ | β = k₀ · m⁻²·t²·Φ²·ε·c_n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "2", "time": "-2", "expansion": "1", "mag_flux": "-2", "permittivity": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,permittivity,time | m·t·β·Φ·ε·R·z | chemistry,em,mechanics,thermo | m·t³·β⁻¹·Φ⁻⁴·ε⁻²·R·z | m = k₀ · t⁻³·β·Φ⁴·ε²·R⁻¹·z⁻¹ | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "time": "3", "expansion": "-1", "mag_flux": "-4", "permittivity": "-2", "gas_constant": "1", "cat_activity": "1"} |
7 | avogadro,expansion,gas_constant,mag_flux,mass,permittivity,time | m·t·β·Φ·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m·t²·β⁻¹·Φ⁻⁴·ε⁻²·R·N_A⁻¹ | m = k₀ · t⁻²·β·Φ⁴·ε²·R⁻¹·N_A | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "1", "time": "2", "expansion": "-1", "mag_flux": "-4", "permittivity": "-2", "gas_constant": "1", "avogadro": "-1"} |
6 | boltzmann,expansion,mag_flux,mass,permittivity,time | m·t·β·Φ·ε·k_B | constants,em,mechanics,thermo | m·t²·β⁻¹·Φ⁻⁴·ε⁻²·k_B | m = k₀ · t⁻²·β·Φ⁴·ε²·k_B⁻¹ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "time": "2", "expansion": "-1", "mag_flux": "-4", "permittivity": "-2", "boltzmann": "1"} |
7 | amount,expansion,gas_constant,mag_flux,mass,permeability,time | m·t·β·Φ·μ₀·n·R | chemistry,em,mechanics,thermo | m·t⁻²·β³·Φ⁴·μ₀⁻²·n⁻³·R⁻³ | m = k₀ · t²·β⁻³·Φ⁻⁴·μ₀²·n³·R³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "time": "-2", "expansion": "3", "mag_flux": "4", "permeability": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | expansion,gas_constant,mag_flux,mass,molar_mass,permeability,time | m·t·β·Φ·μ₀·M_m·R | chemistry,em,mechanics,thermo | m²·t²·β⁻³·Φ⁻⁴·μ₀²·M_m⁻³·R³ | m = k₀ · t⁻¹·β³ᐟ²·Φ²·μ₀⁻¹·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "2", "time": "2", "expansion": "-3", "mag_flux": "-4", "permeability": "2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,permeability,time | m·t·β·Φ·μ₀·c_n·R | chemistry,em,mechanics,thermo | m⁴·t⁻⁸·β³·Φ⁻²·μ₀·c_n⁻³·R⁻³ | μ₀ = k₀ · m⁻⁴·t⁸·β⁻³·Φ²·c_n³·R³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "4", "time": "-8", "expansion": "3", "mag_flux": "-2", "permeability": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,permeability,time | m·t·β·Φ·μ₀·R·z | chemistry,em,mechanics,thermo | m·t⁻⁵·β³·Φ⁴·μ₀⁻²·R⁻³·z⁻³ | m = k₀ · t⁵·β⁻³·Φ⁻⁴·μ₀²·R³·z³ | null | 0 | 4 | 5 | 21 | 18.6 | -10.1 | false | {"mass": "1", "time": "-5", "expansion": "3", "mag_flux": "4", "permeability": "-2", "gas_constant": "-3", "cat_activity": "-3"} |
7 | avogadro,expansion,gas_constant,mag_flux,mass,permeability,time | m·t·β·Φ·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻²·β³·Φ⁴·μ₀⁻²·R⁻³·N_A³ | m = k₀ · t²·β⁻³·Φ⁻⁴·μ₀²·R³·N_A⁻³ | null | 1 | 5 | 4 | 18 | 16.6 | -8.6 | false | {"mass": "1", "time": "-2", "expansion": "3", "mag_flux": "4", "permeability": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,expansion,mag_flux,mass,permeability,time | m·t·β·Φ·μ₀·k_B | constants,em,mechanics,thermo | m·t⁻²·β³·Φ⁴·μ₀⁻²·k_B⁻³ | m = k₀ · t²·β⁻³·Φ⁻⁴·μ₀²·k_B³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "time": "-2", "expansion": "3", "mag_flux": "4", "permeability": "-2", "boltzmann": "-3"} |
7 | concentration,conductivity,expansion,gas_constant,mag_flux,mass,time | m·t·β·Φ·σ·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻³·β·Φ⁻²·σ⁻¹·c_n⁻¹·R⁻¹ | β = k₀ · m⁻²·t³·Φ²·σ·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "2", "time": "-3", "expansion": "1", "mag_flux": "-2", "conductivity": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,conductivity,expansion,gas_constant,mag_flux,mass,time | m·t·β·Φ·σ·R·z | chemistry,em,mechanics,thermo | m·t·β⁻¹·Φ⁻⁴·σ⁻²·R·z | m = k₀ · t⁻¹·β·Φ⁴·σ²·R⁻¹·z⁻¹ | null | 0 | 4 | 4 | 11 | 11.1 | -2.6 | false | {"mass": "1", "time": "1", "expansion": "-1", "mag_flux": "-4", "conductivity": "-2", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,resistivity,time | m·t·β·Φ·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻³·β·Φ⁻²·ρ_e·c_n⁻¹·R⁻¹ | β = k₀ · m⁻²·t³·Φ²·ρ_e⁻¹·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "2", "time": "-3", "expansion": "1", "mag_flux": "-2", "resistivity": "1", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,resistivity,time | m·t·β·Φ·ρ_e·R·z | chemistry,em,mechanics,thermo | m·t·β⁻¹·Φ⁻⁴·ρ_e²·R·z | m = k₀ · t⁻¹·β·Φ⁴·ρ_e⁻²·R⁻¹·z⁻¹ | null | 0 | 4 | 4 | 11 | 11.1 | -2.6 | false | {"mass": "1", "time": "1", "expansion": "-1", "mag_flux": "-4", "resistivity": "2", "gas_constant": "1", "cat_activity": "1"} |
7 | elem_charge,expansion,gas_constant,mag_flux,mass,molar_mass,time | m·t·β·Φ·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·t·β⁻¹·Φ⁻¹·M_m⁻¹·R·e⁻¹ | m = k₀ · t⁻¹·β·Φ·M_m·R⁻¹·e | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "time": "1", "expansion": "-1", "mag_flux": "-1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-1"} |
7 | concentration,elem_charge,expansion,gas_constant,mag_flux,mass,time | m·t·β·Φ·c_n·R·e | chemistry,constants,em,mechanics,thermo | m³·t⁻⁵·β²·Φ⁻¹·c_n⁻²·R⁻²·e⁻¹ | Φ = k₀ · m³·t⁻⁵·β²·c_n⁻²·R⁻²·e⁻¹ | null | 1 | 5 | 5 | 16 | 15.7 | -7.7 | false | {"mass": "3", "time": "-5", "expansion": "2", "mag_flux": "-1", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-1"} |
7 | concentration,expansion,gas_constant,mass,permeability,permittivity,time | m·t·β·ε·μ₀·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁶·β²·ε·μ₀·c_n⁻²·R⁻² | ε = k₀ · m⁻²·t⁶·β⁻²·μ₀⁻¹·c_n²·R² | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "2", "time": "-6", "expansion": "2", "permittivity": "1", "permeability": "1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,expansion,gas_constant,mass,permeability,permittivity,time | m·t·β·ε·μ₀·R·z | chemistry,em,mechanics,thermo | m·t⁻¹·β·ε⁻¹·μ₀⁻¹·R⁻¹·z⁻¹ | m = k₀ · t·β⁻¹·ε·μ₀·R·z | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "time": "-1", "expansion": "1", "permittivity": "-1", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | amount,elem_charge,expansion,gas_constant,mass,permittivity,time | m·t·β·ε·n·R·e | chemistry,constants,em,mechanics,thermo | m·t⁻²·β³·ε⁻²·n⁻³·R⁻³·e⁴ | m = k₀ · t²·β⁻³·ε²·n³·R³·e⁻⁴ | null | 1 | 5 | 4 | 18 | 16.6 | -8.6 | false | {"mass": "1", "time": "-2", "expansion": "3", "permittivity": "-2", "amount": "-3", "gas_constant": "-3", "elem_charge": "4"} |
7 | elem_charge,expansion,gas_constant,mass,molar_mass,permittivity,time | m·t·β·ε·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·t²·β⁻³·ε²·M_m⁻³·R³·e⁻⁴ | m = k₀ · t⁻¹·β³ᐟ²·ε⁻¹·M_m³ᐟ²·R⁻³ᐟ²·e² | null | 1 | 5 | 4 | 19 | 17.3 | -9.3 | false | {"mass": "2", "time": "2", "expansion": "-3", "permittivity": "2", "molar_mass": "-3", "gas_constant": "3", "elem_charge": "-4"} |
7 | concentration,elem_charge,expansion,gas_constant,mass,permittivity,time | m·t·β·ε·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁴·t⁻⁸·β³·ε·c_n⁻³·R⁻³·e⁻² | ε = k₀ · m⁻⁴·t⁸·β⁻³·c_n³·R³·e² | null | 1 | 5 | 8 | 24 | 22.8 | -14.8 | false | {"mass": "4", "time": "-8", "expansion": "3", "permittivity": "1", "concentration": "-3", "gas_constant": "-3", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,expansion,gas_constant,mass,permittivity,time | m·t·β·ε·R·z·e | chemistry,constants,em,mechanics,thermo | m·t⁻⁵·β³·ε⁻²·R⁻³·z⁻³·e⁴ | m = k₀ · t⁵·β⁻³·ε²·R³·z³·e⁻⁴ | null | 1 | 5 | 5 | 21 | 19.2 | -11.2 | false | {"mass": "1", "time": "-5", "expansion": "3", "permittivity": "-2", "gas_constant": "-3", "cat_activity": "-3", "elem_charge": "4"} |
7 | avogadro,elem_charge,expansion,gas_constant,mass,permittivity,time | m·t·β·ε·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻²·β³·ε⁻²·R⁻³·e⁴·N_A³ | m = k₀ · t²·β⁻³·ε²·R³·e⁻⁴·N_A⁻³ | null | 2 | 5 | 4 | 18 | 17.6 | -11.1 | false | {"mass": "1", "time": "-2", "expansion": "3", "permittivity": "-2", "gas_constant": "-3", "elem_charge": "4", "avogadro": "3"} |
6 | boltzmann,elem_charge,expansion,mass,permittivity,time | m·t·β·ε·k_B·e | constants,em,mechanics,thermo | m·t⁻²·β³·ε⁻²·k_B⁻³·e⁴ | m = k₀ · t²·β⁻³·ε²·k_B³·e⁻⁴ | null | 2 | 4 | 4 | 15 | 14.6 | -7.6 | false | {"mass": "1", "time": "-2", "expansion": "3", "permittivity": "-2", "boltzmann": "-3", "elem_charge": "4"} |
7 | amount,conductivity,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·σ·n·R | chemistry,em,mechanics,thermo | m·t⁻¹·β·μ₀⁻¹·σ⁻¹·n⁻¹·R⁻¹ | m = k₀ · t·β⁻¹·μ₀·σ·n·R | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "time": "-1", "expansion": "1", "permeability": "-1", "conductivity": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,conductivity,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·σ·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁵·β²·μ₀·σ·c_n⁻²·R⁻² | μ₀ = k₀ · m⁻²·t⁵·β⁻²·σ⁻¹·c_n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "2", "time": "-5", "expansion": "2", "permeability": "1", "conductivity": "1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,conductivity,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·σ·R·z | chemistry,em,mechanics,thermo | m·t⁻²·β·μ₀⁻¹·σ⁻¹·R⁻¹·z⁻¹ | m = k₀ · t²·β⁻¹·μ₀·σ·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "permeability": "-1", "conductivity": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,conductivity,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻¹·β·μ₀⁻¹·σ⁻¹·R⁻¹·N_A | m = k₀ · t·β⁻¹·μ₀·σ·R·N_A⁻¹ | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "time": "-1", "expansion": "1", "permeability": "-1", "conductivity": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,conductivity,expansion,mass,permeability,time | m·t·β·μ₀·σ·k_B | constants,em,mechanics,thermo | m·t⁻¹·β·μ₀⁻¹·σ⁻¹·k_B⁻¹ | m = k₀ · t·β⁻¹·μ₀·σ·k_B | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "-1", "expansion": "1", "permeability": "-1", "conductivity": "-1", "boltzmann": "-1"} |
7 | amount,expansion,gas_constant,mass,permeability,resistivity,time | m·t·β·μ₀·ρ_e·n·R | chemistry,em,mechanics,thermo | m·t⁻¹·β·μ₀⁻¹·ρ_e·n⁻¹·R⁻¹ | m = k₀ · t·β⁻¹·μ₀·ρ_e⁻¹·n·R | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "time": "-1", "expansion": "1", "permeability": "-1", "resistivity": "1", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,expansion,gas_constant,mass,permeability,resistivity,time | m·t·β·μ₀·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m²·t⁻⁵·β²·μ₀·ρ_e⁻¹·c_n⁻²·R⁻² | μ₀ = k₀ · m⁻²·t⁵·β⁻²·ρ_e·c_n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "2", "time": "-5", "expansion": "2", "permeability": "1", "resistivity": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,expansion,gas_constant,mass,permeability,resistivity,time | m·t·β·μ₀·ρ_e·R·z | chemistry,em,mechanics,thermo | m·t⁻²·β·μ₀⁻¹·ρ_e·R⁻¹·z⁻¹ | m = k₀ · t²·β⁻¹·μ₀·ρ_e⁻¹·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "expansion": "1", "permeability": "-1", "resistivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,expansion,gas_constant,mass,permeability,resistivity,time | m·t·β·μ₀·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·t⁻¹·β·μ₀⁻¹·ρ_e·R⁻¹·N_A | m = k₀ · t·β⁻¹·μ₀·ρ_e⁻¹·R·N_A⁻¹ | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "time": "-1", "expansion": "1", "permeability": "-1", "resistivity": "1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,expansion,mass,permeability,resistivity,time | m·t·β·μ₀·ρ_e·k_B | constants,em,mechanics,thermo | m·t⁻¹·β·μ₀⁻¹·ρ_e·k_B⁻¹ | m = k₀ · t·β⁻¹·μ₀·ρ_e⁻¹·k_B | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "time": "-1", "expansion": "1", "permeability": "-1", "resistivity": "1", "boltzmann": "-1"} |
7 | amount,elem_charge,expansion,gas_constant,mass,permeability,time | m·t·β·μ₀·n·R·e | chemistry,constants,em,mechanics,thermo | m·t²·β⁻¹·μ₀⁻²·n·R·e⁻⁴ | m = k₀ · t⁻²·β·μ₀²·n⁻¹·R⁻¹·e⁴ | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "1", "time": "2", "expansion": "-1", "permeability": "-2", "amount": "1", "gas_constant": "1", "elem_charge": "-4"} |
7 | elem_charge,expansion,gas_constant,mass,molar_mass,permeability,time | m·t·β·μ₀·M_m·R·e | chemistry,constants,em,mechanics,thermo | m²·t²·β⁻¹·μ₀⁻²·M_m⁻¹·R·e⁻⁴ | β = k₀ · m²·t²·μ₀⁻²·M_m⁻¹·R·e⁻⁴ | null | 1 | 5 | 4 | 13 | 13.1 | -5.1 | false | {"mass": "2", "time": "2", "expansion": "-1", "permeability": "-2", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-4"} |
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