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 | amount,efield,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·L_e·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ⁴·L_e·E_f⁻²·n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁻⁴·κ⁻⁴·L_e⁻¹·E_f²·n⁴·R⁴ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "thermal_cond": "4", "inductance": "1", "efield": "-2", "amount": "-4", "gas_constant": "-4"} |
7 | efield,gas_constant,inductance,length,mass,molar_mass,thermal_cond | m·ℓ·κ·L_e·E_f·M_m·R | chemistry,em,mechanics,thermo | m³·ℓ⁻⁴·κ⁻⁴·L_e⁻¹·E_f²·M_m⁻⁴·R⁴ | L_e = k₀ · m³·ℓ⁻⁴·κ⁻⁴·E_f²·M_m⁻⁴·R⁴ | null | 0 | 4 | 4 | 22 | 18.8 | -10.3 | false | {"mass": "3", "length": "-4", "thermal_cond": "-4", "inductance": "-1", "efield": "2", "molar_mass": "-4", "gas_constant": "4"} |
7 | concentration,efield,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·L_e·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·κ⁴·L_e·E_f⁻²·c_n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁸·κ⁻⁴·L_e⁻¹·E_f²·c_n⁴·R⁴ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "-8", "thermal_cond": "4", "inductance": "1", "efield": "-2", "concentration": "-4", "gas_constant": "-4"} |
7 | efield,gas_constant,inductance,length,mass,molar_energy,thermal_cond | m·ℓ·κ·L_e·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ⁻⁴·L_e⁻³·E_f⁶·E_m⁻⁴·R⁴ | m = k₀ · ℓ⁻⁴·κ⁴·L_e³·E_f⁻⁶·E_m⁴·R⁻⁴ | null | 0 | 4 | 6 | 26 | 22.6 | -14.1 | false | {"mass": "1", "length": "4", "thermal_cond": "-4", "inductance": "-3", "efield": "6", "molar_energy": "-4", "gas_constant": "4"} |
7 | avogadro,efield,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·L_e·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ⁴·L_e·E_f⁻²·R⁻⁴·N_A⁴ | m = k₀ · ℓ⁻⁴·κ⁻⁴·L_e⁻¹·E_f²·R⁴·N_A⁻⁴ | null | 1 | 5 | 4 | 20 | 18 | -10 | false | {"mass": "1", "length": "4", "thermal_cond": "4", "inductance": "1", "efield": "-2", "gas_constant": "-4", "avogadro": "4"} |
6 | boltzmann,efield,inductance,length,mass,thermal_cond | m·ℓ·κ·L_e·E_f·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ⁴·L_e·E_f⁻²·k_B⁻⁴ | m = k₀ · ℓ⁻⁴·κ⁻⁴·L_e⁻¹·E_f²·k_B⁴ | null | 1 | 4 | 4 | 16 | 14.3 | -5.8 | false | {"mass": "1", "length": "4", "thermal_cond": "4", "inductance": "1", "efield": "-2", "boltzmann": "-4"} |
7 | bfield,concentration,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·L_e·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·κ²·L_e·B⁻²·c_n⁻²·R⁻² | m = k₀ · ℓ⁶·κ⁻²·L_e⁻¹·B²·c_n²·R² | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "length": "-6", "thermal_cond": "2", "inductance": "1", "bfield": "-2", "concentration": "-2", "gas_constant": "-2"} |
7 | bfield,gas_constant,inductance,length,mass,molar_energy,thermal_cond | m·ℓ·κ·L_e·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·κ²·L_e³·B⁻⁶·E_m²·R⁻² | m = k₀ · ℓ⁸·κ⁻²·L_e⁻³·B⁶·E_m⁻²·R² | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "-8", "thermal_cond": "2", "inductance": "3", "bfield": "-6", "molar_energy": "2", "gas_constant": "-2"} |
7 | amount,gas_constant,inductance,length,mag_flux,mass,thermal_cond | m·ℓ·κ·L_e·Φ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·L_e·Φ⁻²·n⁻²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·L_e⁻¹·Φ²·n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "inductance": "1", "mag_flux": "-2", "amount": "-2", "gas_constant": "-2"} |
7 | gas_constant,inductance,length,mag_flux,mass,molar_mass,thermal_cond | m·ℓ·κ·L_e·Φ·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·L_e⁻¹·Φ²·M_m⁻²·R² | m = k₀ · ℓ⁴·κ²·L_e·Φ⁻²·M_m²·R⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "inductance": "-1", "mag_flux": "2", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,gas_constant,inductance,length,mag_flux,mass,thermal_cond | m·ℓ·κ·L_e·Φ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·L_e·Φ⁻²·c_n⁻²·R⁻² | m = k₀ · ℓ²·κ⁻²·L_e⁻¹·Φ²·c_n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "inductance": "1", "mag_flux": "-2", "concentration": "-2", "gas_constant": "-2"} |
7 | gas_constant,inductance,length,mag_flux,mass,molar_energy,thermal_cond | m·ℓ·κ·L_e·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·L_e³·Φ⁻⁶·E_m²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·L_e⁻³·Φ⁶·E_m⁻²·R² | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "inductance": "3", "mag_flux": "-6", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,gas_constant,inductance,length,mag_flux,mass,thermal_cond | m·ℓ·κ·L_e·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·L_e·Φ⁻²·R⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·L_e⁻¹·Φ²·R²·N_A⁻² | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "inductance": "1", "mag_flux": "-2", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,inductance,length,mag_flux,mass,thermal_cond | m·ℓ·κ·L_e·Φ·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ²·L_e·Φ⁻²·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·L_e⁻¹·Φ²·k_B² | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "inductance": "1", "mag_flux": "-2", "boltzmann": "-2"} |
7 | gas_constant,inductance,length,mass,molar_mass,permittivity,thermal_cond | m·ℓ·κ·L_e·ε·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻³·κ⁻²·L_e⁻¹·ε⁻¹·M_m⁻²·R² | L_e = k₀ · m²·ℓ⁻³·κ⁻²·ε⁻¹·M_m⁻²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "2", "length": "-3", "thermal_cond": "-2", "inductance": "-1", "permittivity": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | gas_constant,inductance,length,mass,molar_energy,permittivity,thermal_cond | m·ℓ·κ·L_e·ε·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻¹·κ⁻²·L_e⁻³·ε⁻³·E_m⁻²·R² | ℓ = k₀ · m²·κ⁻²·L_e⁻³·ε⁻³·E_m⁻²·R² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "2", "length": "-1", "thermal_cond": "-2", "inductance": "-3", "permittivity": "-3", "molar_energy": "-2", "gas_constant": "2"} |
7 | conductivity,gas_constant,inductance,length,mass,molar_mass,thermal_cond | m·ℓ·κ·L_e·σ·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·L_e⁻¹·σ⁻¹·M_m⁻¹·R | m = k₀ · ℓ²·κ·L_e·σ·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "inductance": "-1", "conductivity": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | conductivity,gas_constant,inductance,length,mass,molar_energy,thermal_cond | m·ℓ·κ·L_e·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·L_e⁻³·σ⁻³·E_m⁻¹·R | m = k₀ · ℓ²·κ·L_e³·σ³·E_m·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "inductance": "-3", "conductivity": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,inductance,length,mass,molar_mass,resistivity,thermal_cond | m·ℓ·κ·L_e·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·L_e⁻¹·ρ_e·M_m⁻¹·R | m = k₀ · ℓ²·κ·L_e·ρ_e⁻¹·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "inductance": "-1", "resistivity": "1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,inductance,length,mass,molar_energy,resistivity,thermal_cond | m·ℓ·κ·L_e·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·L_e⁻³·ρ_e³·E_m⁻¹·R | m = k₀ · ℓ²·κ·L_e³·ρ_e⁻³·E_m·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "inductance": "-3", "resistivity": "3", "molar_energy": "-1", "gas_constant": "1"} |
7 | bfield,efield,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·E_f·B·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·E_f·B⁻¹·M_m⁻¹·R | m = k₀ · ℓ²·κ·E_f⁻¹·B·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "efield": "1", "bfield": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,efield,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_f·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·E_f³·B⁻³·E_m⁻¹·R | m = k₀ · ℓ²·κ·E_f⁻³·B³·E_m·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "efield": "3", "bfield": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | efield,gas_constant,length,mag_flux,mass,molar_energy,thermal_cond | m·ℓ·κ·E_f·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ⁻¹·E_f³·Φ⁻³·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·κ·E_f⁻³·Φ³·E_m·R⁻¹ | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "-1", "efield": "3", "mag_flux": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,efield,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·E_f·ε·n·R | chemistry,em,mechanics,thermo | m·ℓ·κ²·E_f⁻²·ε⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻¹·κ⁻²·E_f²·ε·n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "efield": "-2", "permittivity": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | efield,gas_constant,length,mass,molar_mass,permittivity,thermal_cond | m·ℓ·κ·E_f·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻²·E_f²·ε·M_m⁻²·R² | m = k₀ · ℓ·κ²·E_f⁻²·ε⁻¹·M_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "thermal_cond": "-2", "efield": "2", "permittivity": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,efield,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·E_f·ε·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ²·E_f⁻²·ε⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ⁵·κ⁻²·E_f²·ε·c_n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "efield": "-2", "permittivity": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | efield,gas_constant,length,mass,molar_energy,permittivity,thermal_cond | m·ℓ·κ·E_f·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ²·E_f⁻⁶·ε⁻³·E_m²·R⁻² | m = k₀ · ℓ⁵·κ⁻²·E_f⁶·ε³·E_m⁻²·R² | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "efield": "-6", "permittivity": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,efield,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·E_f·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ·κ²·E_f⁻²·ε⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻¹·κ⁻²·E_f²·ε·R²·N_A⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "efield": "-2", "permittivity": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,efield,length,mass,permittivity,thermal_cond | m·ℓ·κ·E_f·ε·k_B | constants,em,mechanics,thermo | m·ℓ·κ²·E_f⁻²·ε⁻¹·k_B⁻² | m = k₀ · ℓ⁻¹·κ⁻²·E_f²·ε·k_B² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "efield": "-2", "permittivity": "-1", "boltzmann": "-2"} |
7 | amount,efield,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·E_f·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ⁵·κ⁴·E_f⁻²·μ₀·n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁻⁵·κ⁻⁴·E_f²·μ₀⁻¹·n⁴·R⁴ | null | 0 | 4 | 5 | 21 | 18.6 | -10.1 | false | {"mass": "1", "length": "5", "thermal_cond": "4", "efield": "-2", "permeability": "1", "amount": "-4", "gas_constant": "-4"} |
7 | efield,gas_constant,length,mass,molar_mass,permeability,thermal_cond | m·ℓ·κ·E_f·μ₀·M_m·R | chemistry,em,mechanics,thermo | m³·ℓ⁻⁵·κ⁻⁴·E_f²·μ₀⁻¹·M_m⁻⁴·R⁴ | μ₀ = k₀ · m³·ℓ⁻⁵·κ⁻⁴·E_f²·M_m⁻⁴·R⁴ | null | 0 | 4 | 5 | 23 | 20 | -11.5 | false | {"mass": "3", "length": "-5", "thermal_cond": "-4", "efield": "2", "permeability": "-1", "molar_mass": "-4", "gas_constant": "4"} |
7 | concentration,efield,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·E_f·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·κ⁴·E_f⁻²·μ₀·c_n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁷·κ⁻⁴·E_f²·μ₀⁻¹·c_n⁴·R⁴ | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "-7", "thermal_cond": "4", "efield": "-2", "permeability": "1", "concentration": "-4", "gas_constant": "-4"} |
7 | efield,gas_constant,length,mass,molar_energy,permeability,thermal_cond | m·ℓ·κ·E_f·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻⁴·E_f⁶·μ₀⁻³·E_m⁻⁴·R⁴ | m = k₀ · ℓ⁻¹·κ⁴·E_f⁻⁶·μ₀³·E_m⁴·R⁻⁴ | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "1", "length": "1", "thermal_cond": "-4", "efield": "6", "permeability": "-3", "molar_energy": "-4", "gas_constant": "4"} |
7 | avogadro,efield,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·E_f·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ⁴·E_f⁻²·μ₀·R⁻⁴·N_A⁴ | m = k₀ · ℓ⁻⁵·κ⁻⁴·E_f²·μ₀⁻¹·R⁴·N_A⁻⁴ | null | 1 | 5 | 5 | 21 | 19.2 | -11.2 | false | {"mass": "1", "length": "5", "thermal_cond": "4", "efield": "-2", "permeability": "1", "gas_constant": "-4", "avogadro": "4"} |
6 | boltzmann,efield,length,mass,permeability,thermal_cond | m·ℓ·κ·E_f·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ⁵·κ⁴·E_f⁻²·μ₀·k_B⁻⁴ | m = k₀ · ℓ⁻⁵·κ⁻⁴·E_f²·μ₀⁻¹·k_B⁴ | null | 1 | 4 | 5 | 17 | 15.5 | -7 | false | {"mass": "1", "length": "5", "thermal_cond": "4", "efield": "-2", "permeability": "1", "boltzmann": "-4"} |
7 | amount,conductivity,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·E_f·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ²·κ³·E_f⁻²·σ⁻¹·n⁻³·R⁻³ | m = k₀ · ℓ⁻²·κ⁻³·E_f²·σ·n³·R³ | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "thermal_cond": "3", "efield": "-2", "conductivity": "-1", "amount": "-3", "gas_constant": "-3"} |
7 | conductivity,efield,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·E_f·σ·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻²·κ⁻³·E_f²·σ·M_m⁻³·R³ | σ = k₀ · m⁻²·ℓ²·κ³·E_f⁻²·M_m³·R⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "2", "length": "-2", "thermal_cond": "-3", "efield": "2", "conductivity": "1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,conductivity,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·E_f·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·κ³·E_f⁻²·σ⁻¹·c_n⁻³·R⁻³ | m = k₀ · ℓ⁷·κ⁻³·E_f²·σ·c_n³·R³ | null | 0 | 4 | 7 | 20 | 18.9 | -10.4 | false | {"mass": "1", "length": "-7", "thermal_cond": "3", "efield": "-2", "conductivity": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,conductivity,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·E_f·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·κ³·E_f⁻²·σ⁻¹·R⁻³·N_A³ | m = k₀ · ℓ⁻²·κ⁻³·E_f²·σ·R³·N_A⁻³ | null | 1 | 5 | 3 | 15 | 14 | -6 | false | {"mass": "1", "length": "2", "thermal_cond": "3", "efield": "-2", "conductivity": "-1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,conductivity,efield,length,mass,thermal_cond | m·ℓ·κ·E_f·σ·k_B | constants,em,mechanics,thermo | m·ℓ²·κ³·E_f⁻²·σ⁻¹·k_B⁻³ | m = k₀ · ℓ⁻²·κ⁻³·E_f²·σ·k_B³ | null | 1 | 4 | 3 | 12 | 11 | -2.5 | false | {"mass": "1", "length": "2", "thermal_cond": "3", "efield": "-2", "conductivity": "-1", "boltzmann": "-3"} |
7 | amount,efield,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·E_f·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·κ³·E_f⁻²·ρ_e·n⁻³·R⁻³ | m = k₀ · ℓ⁻²·κ⁻³·E_f²·ρ_e⁻¹·n³·R³ | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "thermal_cond": "3", "efield": "-2", "resistivity": "1", "amount": "-3", "gas_constant": "-3"} |
7 | efield,gas_constant,length,mass,molar_mass,resistivity,thermal_cond | m·ℓ·κ·E_f·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻²·κ⁻³·E_f²·ρ_e⁻¹·M_m⁻³·R³ | ρ_e = k₀ · m²·ℓ⁻²·κ⁻³·E_f²·M_m⁻³·R³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "2", "length": "-2", "thermal_cond": "-3", "efield": "2", "resistivity": "-1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,efield,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·E_f·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·κ³·E_f⁻²·ρ_e·c_n⁻³·R⁻³ | m = k₀ · ℓ⁷·κ⁻³·E_f²·ρ_e⁻¹·c_n³·R³ | null | 0 | 4 | 7 | 20 | 18.9 | -10.4 | false | {"mass": "1", "length": "-7", "thermal_cond": "3", "efield": "-2", "resistivity": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,efield,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·E_f·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·κ³·E_f⁻²·ρ_e·R⁻³·N_A³ | m = k₀ · ℓ⁻²·κ⁻³·E_f²·ρ_e⁻¹·R³·N_A⁻³ | null | 1 | 5 | 3 | 15 | 14 | -6 | false | {"mass": "1", "length": "2", "thermal_cond": "3", "efield": "-2", "resistivity": "1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,efield,length,mass,resistivity,thermal_cond | m·ℓ·κ·E_f·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ²·κ³·E_f⁻²·ρ_e·k_B⁻³ | m = k₀ · ℓ⁻²·κ⁻³·E_f²·ρ_e⁻¹·k_B³ | null | 1 | 4 | 3 | 12 | 11 | -2.5 | false | {"mass": "1", "length": "2", "thermal_cond": "3", "efield": "-2", "resistivity": "1", "boltzmann": "-3"} |
7 | amount,efield,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·E_f·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ²·E_f⁻¹·n⁻²·R⁻²·e⁻¹ | m = k₀ · ℓ⁻³·κ⁻²·E_f·n²·R²·e | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "efield": "-1", "amount": "-2", "gas_constant": "-2", "elem_charge": "-1"} |
7 | efield,elem_charge,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·E_f·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻³·κ⁻²·E_f·M_m⁻²·R²·e | m = k₀ · ℓ³·κ²·E_f⁻¹·M_m²·R⁻²·e⁻¹ | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "1", "length": "-3", "thermal_cond": "-2", "efield": "1", "molar_mass": "-2", "gas_constant": "2", "elem_charge": "1"} |
7 | concentration,efield,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·E_f·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻³·κ²·E_f⁻¹·c_n⁻²·R⁻²·e⁻¹ | m = k₀ · ℓ³·κ⁻²·E_f·c_n²·R²·e | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "1", "length": "-3", "thermal_cond": "2", "efield": "-1", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-1"} |
7 | efield,elem_charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·E_f·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·κ²·E_f⁻³·E_m²·R⁻²·e⁻³ | m = k₀ · ℓ⁻¹·κ⁻²·E_f³·E_m⁻²·R²·e³ | null | 1 | 5 | 3 | 14 | 13.3 | -5.3 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "efield": "-3", "molar_energy": "2", "gas_constant": "-2", "elem_charge": "-3"} |
7 | avogadro,efield,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·E_f·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ²·E_f⁻¹·R⁻²·e⁻¹·N_A² | m = k₀ · ℓ⁻³·κ⁻²·E_f·R²·e·N_A⁻² | null | 2 | 5 | 3 | 12 | 12.9 | -6.4 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "efield": "-1", "gas_constant": "-2", "elem_charge": "-1", "avogadro": "2"} |
6 | boltzmann,efield,elem_charge,length,mass,thermal_cond | m·ℓ·κ·E_f·k_B·e | constants,em,mechanics,thermo | m·ℓ³·κ²·E_f⁻¹·k_B⁻²·e⁻¹ | m = k₀ · ℓ⁻³·κ⁻²·E_f·k_B²·e | null | 2 | 4 | 3 | 10 | 10.6 | -3.6 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "efield": "-1", "boltzmann": "-2", "elem_charge": "-1"} |
7 | amount,bfield,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·B·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ·κ²·B⁻²·μ₀·n⁻²·R⁻² | m = k₀ · ℓ⁻¹·κ⁻²·B²·μ₀⁻¹·n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "bfield": "-2", "permeability": "1", "amount": "-2", "gas_constant": "-2"} |
7 | bfield,gas_constant,length,mass,molar_mass,permeability,thermal_cond | m·ℓ·κ·B·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻²·B²·μ₀⁻¹·M_m⁻²·R² | m = k₀ · ℓ·κ²·B⁻²·μ₀·M_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "thermal_cond": "-2", "bfield": "2", "permeability": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | bfield,concentration,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·B·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ²·B⁻²·μ₀·c_n⁻²·R⁻² | m = k₀ · ℓ⁵·κ⁻²·B²·μ₀⁻¹·c_n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "bfield": "-2", "permeability": "1", "concentration": "-2", "gas_constant": "-2"} |
7 | bfield,gas_constant,length,mass,molar_energy,permeability,thermal_cond | m·ℓ·κ·B·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ²·B⁻⁶·μ₀³·E_m²·R⁻² | m = k₀ · ℓ⁵·κ⁻²·B⁶·μ₀⁻³·E_m⁻²·R² | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "1", "length": "-5", "thermal_cond": "2", "bfield": "-6", "permeability": "3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,bfield,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·B·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ·κ²·B⁻²·μ₀·R⁻²·N_A² | m = k₀ · ℓ⁻¹·κ⁻²·B²·μ₀⁻¹·R²·N_A⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "bfield": "-2", "permeability": "1", "gas_constant": "-2", "avogadro": "2"} |
6 | bfield,boltzmann,length,mass,permeability,thermal_cond | m·ℓ·κ·B·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ·κ²·B⁻²·μ₀·k_B⁻² | m = k₀ · ℓ⁻¹·κ⁻²·B²·μ₀⁻¹·k_B² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "bfield": "-2", "permeability": "1", "boltzmann": "-2"} |
7 | amount,bfield,conductivity,gas_constant,length,mass,thermal_cond | m·ℓ·κ·B·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻²·σ⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ²·κ⁻¹·B²·σ·n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-2", "conductivity": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,concentration,conductivity,gas_constant,length,mass,thermal_cond | m·ℓ·κ·B·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ·B⁻²·σ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁵·κ⁻¹·B²·σ·c_n·R | null | 0 | 4 | 5 | 12 | 12.3 | -3.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "1", "bfield": "-2", "conductivity": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,conductivity,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·B·σ·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻¹⁰·κ·B⁻⁶·σ⁻³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ¹⁰·B⁶·σ³·E_m⁻¹·R | null | 0 | 4 | 10 | 24 | 23.2 | -14.7 | false | {"mass": "2", "length": "-10", "thermal_cond": "1", "bfield": "-6", "conductivity": "-3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,bfield,conductivity,gas_constant,length,mass,thermal_cond | m·ℓ·κ·B·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻²·σ⁻¹·R⁻¹·N_A | m = k₀ · ℓ²·κ⁻¹·B²·σ·R·N_A⁻¹ | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-2", "conductivity": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,conductivity,length,mass,thermal_cond | m·ℓ·κ·B·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻²·σ⁻¹·k_B⁻¹ | m = k₀ · ℓ²·κ⁻¹·B²·σ·k_B | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-2", "conductivity": "-1", "boltzmann": "-1"} |
7 | amount,bfield,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·B·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻²·ρ_e·n⁻¹·R⁻¹ | m = k₀ · ℓ²·κ⁻¹·B²·ρ_e⁻¹·n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-2", "resistivity": "1", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,concentration,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·B·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ·B⁻²·ρ_e·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁵·κ⁻¹·B²·ρ_e⁻¹·c_n·R | null | 0 | 4 | 5 | 12 | 12.3 | -3.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "1", "bfield": "-2", "resistivity": "1", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,gas_constant,length,mass,molar_energy,resistivity,thermal_cond | m·ℓ·κ·B·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻¹⁰·κ·B⁻⁶·ρ_e³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ¹⁰·B⁶·ρ_e⁻³·E_m⁻¹·R | null | 0 | 4 | 10 | 24 | 23.2 | -14.7 | false | {"mass": "2", "length": "-10", "thermal_cond": "1", "bfield": "-6", "resistivity": "3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,bfield,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·B·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻²·ρ_e·R⁻¹·N_A | m = k₀ · ℓ²·κ⁻¹·B²·ρ_e⁻¹·R·N_A⁻¹ | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-2", "resistivity": "1", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,length,mass,resistivity,thermal_cond | m·ℓ·κ·B·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻²·ρ_e·k_B⁻¹ | m = k₀ · ℓ²·κ⁻¹·B²·ρ_e⁻¹·k_B | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-2", "resistivity": "1", "boltzmann": "-1"} |
7 | amount,bfield,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·B·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·κ·B⁻¹·n⁻¹·R⁻¹·e⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·B·n·R·e | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "bfield": "-1", "amount": "-1", "gas_constant": "-1", "elem_charge": "-1"} |
7 | bfield,concentration,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·B·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·κ·B⁻¹·c_n⁻¹·R⁻¹·e⁻¹ | m = k₀ · ℓ²·κ⁻¹·B·c_n·R·e | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "bfield": "-1", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-1"} |
7 | bfield,elem_charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·B·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁻¹·κ·B⁻³·E_m·R⁻¹·e⁻³ | ℓ = k₀ · m²·κ·B⁻³·E_m·R⁻¹·e⁻³ | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "2", "length": "-1", "thermal_cond": "1", "bfield": "-3", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-3"} |
7 | avogadro,bfield,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·B·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ·κ·B⁻¹·R⁻¹·e⁻¹·N_A | m = k₀ · ℓ⁻¹·κ⁻¹·B·R·e·N_A⁻¹ | null | 2 | 5 | 1 | 7 | 8.4 | -1.9 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "bfield": "-1", "gas_constant": "-1", "elem_charge": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,elem_charge,length,mass,thermal_cond | m·ℓ·κ·B·k_B·e | constants,em,mechanics,thermo | m·ℓ·κ·B⁻¹·k_B⁻¹·e⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·B·k_B·e | null | 2 | 4 | 1 | 6 | 6.8 | 0.2 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "bfield": "-1", "boltzmann": "-1", "elem_charge": "-1"} |
7 | amount,gas_constant,length,mag_flux,mass,permeability,thermal_cond | m·ℓ·κ·Φ·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ⁵·κ²·Φ⁻²·μ₀·n⁻²·R⁻² | m = k₀ · ℓ⁻⁵·κ⁻²·Φ²·μ₀⁻¹·n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "mag_flux": "-2", "permeability": "1", "amount": "-2", "gas_constant": "-2"} |
7 | gas_constant,length,mag_flux,mass,molar_mass,permeability,thermal_cond | m·ℓ·κ·Φ·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻²·Φ²·μ₀⁻¹·M_m⁻²·R² | m = k₀ · ℓ⁵·κ²·Φ⁻²·μ₀·M_m²·R⁻² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "-2", "mag_flux": "2", "permeability": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,gas_constant,length,mag_flux,mass,permeability,thermal_cond | m·ℓ·κ·Φ·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ²·Φ⁻²·μ₀·c_n⁻²·R⁻² | m = k₀ · ℓ·κ⁻²·Φ²·μ₀⁻¹·c_n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "thermal_cond": "2", "mag_flux": "-2", "permeability": "1", "concentration": "-2", "gas_constant": "-2"} |
7 | gas_constant,length,mag_flux,mass,molar_energy,permeability,thermal_cond | m·ℓ·κ·Φ·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁷·κ²·Φ⁻⁶·μ₀³·E_m²·R⁻² | m = k₀ · ℓ⁻⁷·κ⁻²·Φ⁶·μ₀⁻³·E_m⁻²·R² | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "7", "thermal_cond": "2", "mag_flux": "-6", "permeability": "3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,gas_constant,length,mag_flux,mass,permeability,thermal_cond | m·ℓ·κ·Φ·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ²·Φ⁻²·μ₀·R⁻²·N_A² | m = k₀ · ℓ⁻⁵·κ⁻²·Φ²·μ₀⁻¹·R²·N_A⁻² | null | 1 | 5 | 5 | 15 | 15 | -7 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "mag_flux": "-2", "permeability": "1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,length,mag_flux,mass,permeability,thermal_cond | m·ℓ·κ·Φ·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ⁵·κ²·Φ⁻²·μ₀·k_B⁻² | m = k₀ · ℓ⁻⁵·κ⁻²·Φ²·μ₀⁻¹·k_B² | null | 1 | 4 | 5 | 13 | 12.7 | -4.2 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "mag_flux": "-2", "permeability": "1", "boltzmann": "-2"} |
7 | amount,conductivity,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ²·κ·Φ⁻²·σ⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·κ⁻¹·Φ²·σ·n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "thermal_cond": "1", "mag_flux": "-2", "conductivity": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,conductivity,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ·Φ⁻²·σ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·κ⁻¹·Φ²·σ·c_n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-1", "thermal_cond": "1", "mag_flux": "-2", "conductivity": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | conductivity,gas_constant,length,mag_flux,mass,molar_energy,thermal_cond | m·ℓ·κ·Φ·σ·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ²·κ·Φ⁻⁶·σ⁻³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻²·Φ⁶·σ³·E_m⁻¹·R | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "2", "length": "2", "thermal_cond": "1", "mag_flux": "-6", "conductivity": "-3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,conductivity,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·κ·Φ⁻²·σ⁻¹·R⁻¹·N_A | m = k₀ · ℓ⁻²·κ⁻¹·Φ²·σ·R·N_A⁻¹ | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "2", "thermal_cond": "1", "mag_flux": "-2", "conductivity": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,conductivity,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·σ·k_B | constants,em,mechanics,thermo | m·ℓ²·κ·Φ⁻²·σ⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻²·κ⁻¹·Φ²·σ·k_B | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "thermal_cond": "1", "mag_flux": "-2", "conductivity": "-1", "boltzmann": "-1"} |
7 | amount,gas_constant,length,mag_flux,mass,resistivity,thermal_cond | m·ℓ·κ·Φ·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·κ·Φ⁻²·ρ_e·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·κ⁻¹·Φ²·ρ_e⁻¹·n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "thermal_cond": "1", "mag_flux": "-2", "resistivity": "1", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,gas_constant,length,mag_flux,mass,resistivity,thermal_cond | m·ℓ·κ·Φ·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ·Φ⁻²·ρ_e·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·κ⁻¹·Φ²·ρ_e⁻¹·c_n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-1", "thermal_cond": "1", "mag_flux": "-2", "resistivity": "1", "concentration": "-1", "gas_constant": "-1"} |
7 | gas_constant,length,mag_flux,mass,molar_energy,resistivity,thermal_cond | m·ℓ·κ·Φ·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ²·κ·Φ⁻⁶·ρ_e³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻²·Φ⁶·ρ_e⁻³·E_m⁻¹·R | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "2", "length": "2", "thermal_cond": "1", "mag_flux": "-6", "resistivity": "3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,gas_constant,length,mag_flux,mass,resistivity,thermal_cond | m·ℓ·κ·Φ·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·κ·Φ⁻²·ρ_e·R⁻¹·N_A | m = k₀ · ℓ⁻²·κ⁻¹·Φ²·ρ_e⁻¹·R·N_A⁻¹ | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "2", "thermal_cond": "1", "mag_flux": "-2", "resistivity": "1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,length,mag_flux,mass,resistivity,thermal_cond | m·ℓ·κ·Φ·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ²·κ·Φ⁻²·ρ_e·k_B⁻¹ | m = k₀ · ℓ⁻²·κ⁻¹·Φ²·ρ_e⁻¹·k_B | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "thermal_cond": "1", "mag_flux": "-2", "resistivity": "1", "boltzmann": "-1"} |
7 | amount,elem_charge,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·Φ⁻¹·n⁻¹·R⁻¹·e⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·Φ·n·R·e | null | 1 | 5 | 3 | 9 | 9.8 | -1.8 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "mag_flux": "-1", "amount": "-1", "gas_constant": "-1", "elem_charge": "-1"} |
7 | elem_charge,gas_constant,length,mag_flux,mass,molar_energy,thermal_cond | m·ℓ·κ·Φ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁵·κ·Φ⁻³·E_m·R⁻¹·e⁻³ | κ = k₀ · m⁻²·ℓ⁻⁵·Φ³·E_m⁻¹·R·e³ | null | 1 | 5 | 5 | 16 | 15.7 | -7.7 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "mag_flux": "-3", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-3"} |
7 | avogadro,elem_charge,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·Φ⁻¹·R⁻¹·e⁻¹·N_A | m = k₀ · ℓ⁻³·κ⁻¹·Φ·R·e·N_A⁻¹ | null | 2 | 5 | 3 | 9 | 10.8 | -4.3 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "mag_flux": "-1", "gas_constant": "-1", "elem_charge": "-1", "avogadro": "1"} |
6 | boltzmann,elem_charge,length,mag_flux,mass,thermal_cond | m·ℓ·κ·Φ·k_B·e | constants,em,mechanics,thermo | m·ℓ³·κ·Φ⁻¹·k_B⁻¹·e⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·Φ·k_B·e | null | 2 | 4 | 3 | 8 | 9.2 | -2.2 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "mag_flux": "-1", "boltzmann": "-1", "elem_charge": "-1"} |
7 | gas_constant,length,mass,molar_mass,permeability,permittivity,thermal_cond | m·ℓ·κ·ε·μ₀·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·κ⁻²·ε⁻¹·μ₀⁻¹·M_m⁻²·R² | ε = k₀ · m²·ℓ⁻⁴·κ⁻²·μ₀⁻¹·M_m⁻²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "2", "length": "-4", "thermal_cond": "-2", "permittivity": "-1", "permeability": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | gas_constant,length,mass,molar_energy,permeability,permittivity,thermal_cond | m·ℓ·κ·ε·μ₀·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·κ⁻²·ε⁻³·μ₀⁻³·E_m⁻²·R² | m = k₀ · ℓ²·κ·ε³ᐟ²·μ₀³ᐟ²·E_m·R⁻¹ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "2", "length": "-4", "thermal_cond": "-2", "permittivity": "-3", "permeability": "-3", "molar_energy": "-2", "gas_constant": "2"} |
7 | conductivity,gas_constant,length,mass,molar_mass,permittivity,thermal_cond | m·ℓ·κ·ε·σ·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·ε⁻¹·σ·M_m⁻¹·R | m = k₀ · ℓ·κ·ε·σ⁻¹·M_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "permittivity": "-1", "conductivity": "1", "molar_mass": "-1", "gas_constant": "1"} |
7 | conductivity,gas_constant,length,mass,molar_energy,permittivity,thermal_cond | m·ℓ·κ·ε·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻¹·ε⁻³·σ³·E_m⁻¹·R | m = k₀ · ℓ⁻¹·κ·ε³·σ⁻³·E_m·R⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "permittivity": "-3", "conductivity": "3", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_mass,permittivity,resistivity,thermal_cond | m·ℓ·κ·ε·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·ε⁻¹·ρ_e⁻¹·M_m⁻¹·R | m = k₀ · ℓ·κ·ε·ρ_e·M_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "permittivity": "-1", "resistivity": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_energy,permittivity,resistivity,thermal_cond | m·ℓ·κ·ε·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻¹·ε⁻³·ρ_e⁻³·E_m⁻¹·R | m = k₀ · ℓ⁻¹·κ·ε³·ρ_e³·E_m·R⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "permittivity": "-3", "resistivity": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,elem_charge,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·ε·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ²·ε·n⁻²·R⁻²·e⁻² | m = k₀ · ℓ⁻⁵·κ⁻²·ε⁻¹·n²·R²·e² | null | 1 | 5 | 5 | 15 | 15 | -7 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "permittivity": "1", "amount": "-2", "gas_constant": "-2", "elem_charge": "-2"} |
7 | elem_charge,gas_constant,length,mass,molar_mass,permittivity,thermal_cond | m·ℓ·κ·ε·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻²·ε⁻¹·M_m⁻²·R²·e² | m = k₀ · ℓ⁵·κ²·ε·M_m²·R⁻²·e⁻² | null | 1 | 5 | 5 | 15 | 15 | -7 | false | {"mass": "1", "length": "-5", "thermal_cond": "-2", "permittivity": "-1", "molar_mass": "-2", "gas_constant": "2", "elem_charge": "2"} |
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