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 | charge,gas_constant,length,mass,molar_energy,thermal_cond,voltage | m·ℓ·κ·q·U·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻³·U⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·q³·U³·E_m⁻²·R² | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-3", "voltage": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,charge,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·q·U·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻¹·U⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·q·U·R²·N_A⁻² | null | 1 | 5 | 4 | 13 | 13.1 | -5.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-1", "voltage": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,charge,length,mass,thermal_cond,voltage | m·ℓ·κ·q·U·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻¹·U⁻¹·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·q·U·k_B² | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-1", "voltage": "-1", "boltzmann": "-2"} |
7 | amount,charge,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·q·R·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ·q⁻²·R⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·q²·R·n·R | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "charge": "-2", "resistance": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | charge,gas_constant,length,mass,molar_energy,resistance,thermal_cond | m·ℓ·κ·q·R·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁵·κ·q⁻⁶·R⁻³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻⁵·q⁶·R³·E_m⁻¹·R | null | 0 | 4 | 6 | 19 | 17.7 | -9.2 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "charge": "-6", "resistance": "-3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,charge,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·q·R·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·q⁻²·R⁻¹·R⁻¹·N_A | m = k₀ · ℓ⁻³·κ⁻¹·q²·R·R·N_A⁻¹ | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "charge": "-2", "resistance": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,charge,length,mass,resistance,thermal_cond | m·ℓ·κ·q·R·k_B | constants,em,mechanics,thermo | m·ℓ³·κ·q⁻²·R⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·q²·R·k_B | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "charge": "-2", "resistance": "-1", "boltzmann": "-1"} |
7 | amount,capacitance,charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·C_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻²·C_e·n⁻²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·q²·C_e⁻¹·n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-2", "capacitance": "1", "amount": "-2", "gas_constant": "-2"} |
7 | capacitance,charge,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·q·C_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·q²·C_e⁻¹·M_m⁻²·R² | m = k₀ · ℓ⁴·κ²·q⁻²·C_e·M_m²·R⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "charge": "2", "capacitance": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | capacitance,charge,concentration,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·C_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·q⁻²·C_e·c_n⁻²·R⁻² | m = k₀ · ℓ²·κ⁻²·q²·C_e⁻¹·c_n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "charge": "-2", "capacitance": "1", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·q·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻⁶·C_e³·E_m²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·q⁶·C_e⁻³·E_m⁻²·R² | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-6", "capacitance": "3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,capacitance,charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·C_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻²·C_e·R⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·q²·C_e⁻¹·R²·N_A⁻² | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-2", "capacitance": "1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,capacitance,charge,length,mass,thermal_cond | m·ℓ·κ·q·C_e·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ²·q⁻²·C_e·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·q²·C_e⁻¹·k_B² | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "charge": "-2", "capacitance": "1", "boltzmann": "-2"} |
7 | amount,charge,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ²·q⁻¹·E_f⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻³·κ⁻²·q·E_f·n²·R² | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "charge": "-1", "efield": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | charge,efield,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·q·E_f·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ⁻²·q·E_f·M_m⁻²·R² | m = k₀ · ℓ³·κ²·q⁻¹·E_f⁻¹·M_m²·R⁻² | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-3", "thermal_cond": "-2", "charge": "1", "efield": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | charge,concentration,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ²·q⁻¹·E_f⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ³·κ⁻²·q·E_f·c_n²·R² | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-3", "thermal_cond": "2", "charge": "-1", "efield": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | charge,efield,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·q·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ²·q⁻³·E_f⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻¹·κ⁻²·q³·E_f³·E_m⁻²·R² | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "charge": "-3", "efield": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,charge,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ²·q⁻¹·E_f⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻³·κ⁻²·q·E_f·R²·N_A⁻² | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "charge": "-1", "efield": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,charge,efield,length,mass,thermal_cond | m·ℓ·κ·q·E_f·k_B | constants,em,mechanics,thermo | m·ℓ³·κ²·q⁻¹·E_f⁻¹·k_B⁻² | m = k₀ · ℓ⁻³·κ⁻²·q·E_f·k_B² | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "charge": "-1", "efield": "-1", "boltzmann": "-2"} |
7 | amount,bfield,charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·B·n·R | chemistry,em,mechanics,thermo | m·ℓ·κ·q⁻¹·B⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·q·B·n·R | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "charge": "-1", "bfield": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,charge,concentration,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ·q⁻¹·B⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · ℓ²·κ⁻¹·q·B·c_n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "1", "charge": "-1", "bfield": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·q·B·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻¹·κ·q⁻³·B⁻³·E_m·R⁻¹ | ℓ = k₀ · m²·κ·q⁻³·B⁻³·E_m·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "2", "length": "-1", "thermal_cond": "1", "charge": "-3", "bfield": "-3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,bfield,charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·B·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ·κ·q⁻¹·B⁻¹·R⁻¹·N_A | m = k₀ · ℓ⁻¹·κ⁻¹·q·B·R·N_A⁻¹ | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "charge": "-1", "bfield": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,charge,length,mass,thermal_cond | m·ℓ·κ·q·B·k_B | constants,em,mechanics,thermo | m·ℓ·κ·q⁻¹·B⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·q·B·k_B | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "charge": "-1", "bfield": "-1", "boltzmann": "-1"} |
7 | amount,charge,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·q·Φ·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ·q⁻¹·Φ⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·q·Φ·n·R | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "charge": "-1", "mag_flux": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | charge,gas_constant,length,mag_flux,mass,molar_energy,thermal_cond | m·ℓ·κ·q·Φ·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁵·κ·q⁻³·Φ⁻³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻⁵·q³·Φ³·E_m⁻¹·R | null | 0 | 4 | 5 | 16 | 15.1 | -6.6 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "charge": "-3", "mag_flux": "-3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,charge,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·q·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·q⁻¹·Φ⁻¹·R⁻¹·N_A | m = k₀ · ℓ⁻³·κ⁻¹·q·Φ·R·N_A⁻¹ | null | 1 | 5 | 3 | 9 | 9.8 | -1.8 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "charge": "-1", "mag_flux": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,charge,length,mag_flux,mass,thermal_cond | m·ℓ·κ·q·Φ·k_B | constants,em,mechanics,thermo | m·ℓ³·κ·q⁻¹·Φ⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·q·Φ·k_B | null | 1 | 4 | 3 | 8 | 8.2 | 0.3 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "charge": "-1", "mag_flux": "-1", "boltzmann": "-1"} |
7 | amount,charge,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·q·ε·n·R | chemistry,em,mechanics,thermo | m·ℓ⁵·κ²·q⁻²·ε·n⁻²·R⁻² | m = k₀ · ℓ⁻⁵·κ⁻²·q²·ε⁻¹·n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "charge": "-2", "permittivity": "1", "amount": "-2", "gas_constant": "-2"} |
7 | charge,gas_constant,length,mass,molar_mass,permittivity,thermal_cond | m·ℓ·κ·q·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻²·q²·ε⁻¹·M_m⁻²·R² | m = k₀ · ℓ⁵·κ²·q⁻²·ε·M_m²·R⁻² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "-2", "charge": "2", "permittivity": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | charge,concentration,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·q·ε·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ²·q⁻²·ε·c_n⁻²·R⁻² | m = k₀ · ℓ·κ⁻²·q²·ε⁻¹·c_n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "thermal_cond": "2", "charge": "-2", "permittivity": "1", "concentration": "-2", "gas_constant": "-2"} |
7 | charge,gas_constant,length,mass,molar_energy,permittivity,thermal_cond | m·ℓ·κ·q·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁷·κ²·q⁻⁶·ε³·E_m²·R⁻² | m = k₀ · ℓ⁻⁷·κ⁻²·q⁶·ε⁻³·E_m⁻²·R² | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "7", "thermal_cond": "2", "charge": "-6", "permittivity": "3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,charge,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·q·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ²·q⁻²·ε·R⁻²·N_A² | m = k₀ · ℓ⁻⁵·κ⁻²·q²·ε⁻¹·R²·N_A⁻² | null | 1 | 5 | 5 | 15 | 15 | -7 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "charge": "-2", "permittivity": "1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,charge,length,mass,permittivity,thermal_cond | m·ℓ·κ·q·ε·k_B | constants,em,mechanics,thermo | m·ℓ⁵·κ²·q⁻²·ε·k_B⁻² | m = k₀ · ℓ⁻⁵·κ⁻²·q²·ε⁻¹·k_B² | null | 1 | 4 | 5 | 13 | 12.7 | -4.2 | false | {"mass": "1", "length": "5", "thermal_cond": "2", "charge": "-2", "permittivity": "1", "boltzmann": "-2"} |
7 | amount,charge,conductivity,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ·q⁻²·σ·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻⁴·κ⁻¹·q²·σ⁻¹·n·R | null | 0 | 4 | 4 | 11 | 11.1 | -2.6 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "charge": "-2", "conductivity": "1", "amount": "-1", "gas_constant": "-1"} |
7 | charge,concentration,conductivity,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ·κ·q⁻²·σ·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·q²·σ⁻¹·c_n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "charge": "-2", "conductivity": "1", "concentration": "-1", "gas_constant": "-1"} |
7 | charge,conductivity,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·q·σ·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁸·κ·q⁻⁶·σ³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻⁸·q⁶·σ⁻³·E_m⁻¹·R | null | 0 | 4 | 8 | 22 | 20.8 | -12.3 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "charge": "-6", "conductivity": "3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,charge,conductivity,gas_constant,length,mass,thermal_cond | m·ℓ·κ·q·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ·q⁻²·σ·R⁻¹·N_A | m = k₀ · ℓ⁻⁴·κ⁻¹·q²·σ⁻¹·R·N_A⁻¹ | null | 1 | 5 | 4 | 11 | 11.7 | -3.7 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "charge": "-2", "conductivity": "1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,charge,conductivity,length,mass,thermal_cond | m·ℓ·κ·q·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ·q⁻²·σ·k_B⁻¹ | m = k₀ · ℓ⁻⁴·κ⁻¹·q²·σ⁻¹·k_B | null | 1 | 4 | 4 | 10 | 10.1 | -1.6 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "charge": "-2", "conductivity": "1", "boltzmann": "-1"} |
7 | amount,charge,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·q·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ·q⁻²·ρ_e⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻⁴·κ⁻¹·q²·ρ_e·n·R | null | 0 | 4 | 4 | 11 | 11.1 | -2.6 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "charge": "-2", "resistivity": "-1", "amount": "-1", "gas_constant": "-1"} |
7 | charge,concentration,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·q·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ·κ·q⁻²·ρ_e⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁻¹·κ⁻¹·q²·ρ_e·c_n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "thermal_cond": "1", "charge": "-2", "resistivity": "-1", "concentration": "-1", "gas_constant": "-1"} |
7 | charge,gas_constant,length,mass,molar_energy,resistivity,thermal_cond | m·ℓ·κ·q·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁸·κ·q⁻⁶·ρ_e⁻³·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻⁸·q⁶·ρ_e³·E_m⁻¹·R | null | 0 | 4 | 8 | 22 | 20.8 | -12.3 | false | {"mass": "2", "length": "8", "thermal_cond": "1", "charge": "-6", "resistivity": "-3", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,charge,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·q·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ·q⁻²·ρ_e⁻¹·R⁻¹·N_A | m = k₀ · ℓ⁻⁴·κ⁻¹·q²·ρ_e·R·N_A⁻¹ | null | 1 | 5 | 4 | 11 | 11.7 | -3.7 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "charge": "-2", "resistivity": "-1", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,charge,length,mass,resistivity,thermal_cond | m·ℓ·κ·q·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ·q⁻²·ρ_e⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻⁴·κ⁻¹·q²·ρ_e·k_B | null | 1 | 4 | 4 | 10 | 10.1 | -1.6 | false | {"mass": "1", "length": "4", "thermal_cond": "1", "charge": "-2", "resistivity": "-1", "boltzmann": "-1"} |
7 | amount,current,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·i·U·n·R | chemistry,em,mechanics,thermo | m·ℓ⁵·κ³·i⁻¹·U⁻¹·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·i·U·n³·R³ | null | 0 | 4 | 5 | 17 | 15.8 | -7.3 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "current": "-1", "voltage": "-1", "amount": "-3", "gas_constant": "-3"} |
7 | current,gas_constant,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·i·U·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁵·κ⁻³·i·U·M_m⁻³·R³ | i = k₀ · m⁻²·ℓ⁵·κ³·U⁻¹·M_m³·R⁻³ | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "2", "length": "-5", "thermal_cond": "-3", "current": "1", "voltage": "1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,current,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·i·U·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ³·i⁻¹·U⁻¹·c_n⁻³·R⁻³ | m = k₀ · ℓ⁴·κ⁻³·i·U·c_n³·R³ | null | 0 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"mass": "1", "length": "-4", "thermal_cond": "3", "current": "-1", "voltage": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·i·U·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ³·i⁻¹·U⁻¹·R⁻³·N_A³ | m = k₀ · ℓ⁻⁵·κ⁻³·i·U·R³·N_A⁻³ | null | 1 | 5 | 5 | 17 | 16.4 | -8.4 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "current": "-1", "voltage": "-1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,length,mass,thermal_cond,voltage | m·ℓ·κ·i·U·k_B | constants,em,mechanics,thermo | m·ℓ⁵·κ³·i⁻¹·U⁻¹·k_B⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·i·U·k_B³ | null | 1 | 4 | 5 | 14 | 13.4 | -4.9 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "current": "-1", "voltage": "-1", "boltzmann": "-3"} |
7 | amount,current,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·i·R·n·R | chemistry,em,mechanics,thermo | m·ℓ⁵·κ³·i⁻²·R⁻¹·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·i²·R·n³·R³ | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "current": "-2", "resistance": "-1", "amount": "-3", "gas_constant": "-3"} |
7 | current,gas_constant,length,mass,molar_mass,resistance,thermal_cond | m·ℓ·κ·i·R·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁵·κ⁻³·i²·R·M_m⁻³·R³ | R = k₀ · m⁻²·ℓ⁵·κ³·i⁻²·M_m³·R⁻³ | null | 0 | 4 | 5 | 19 | 17.2 | -8.7 | false | {"mass": "2", "length": "-5", "thermal_cond": "-3", "current": "2", "resistance": "1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,current,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·i·R·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ³·i⁻²·R⁻¹·c_n⁻³·R⁻³ | m = k₀ · ℓ⁴·κ⁻³·i²·R·c_n³·R³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "-4", "thermal_cond": "3", "current": "-2", "resistance": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·i·R·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ³·i⁻²·R⁻¹·R⁻³·N_A³ | m = k₀ · ℓ⁻⁵·κ⁻³·i²·R·R³·N_A⁻³ | null | 1 | 5 | 5 | 18 | 17.1 | -9.1 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "current": "-2", "resistance": "-1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,length,mass,resistance,thermal_cond | m·ℓ·κ·i·R·k_B | constants,em,mechanics,thermo | m·ℓ⁵·κ³·i⁻²·R⁻¹·k_B⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·i²·R·k_B³ | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "current": "-2", "resistance": "-1", "boltzmann": "-3"} |
7 | amount,capacitance,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·C_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁶·κ⁴·i⁻²·C_e·n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁻⁶·κ⁻⁴·i²·C_e⁻¹·n⁴·R⁴ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "6", "thermal_cond": "4", "current": "-2", "capacitance": "1", "amount": "-4", "gas_constant": "-4"} |
7 | capacitance,current,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·i·C_e·M_m·R | chemistry,em,mechanics,thermo | m³·ℓ⁻⁶·κ⁻⁴·i²·C_e⁻¹·M_m⁻⁴·R⁴ | C_e = k₀ · m³·ℓ⁻⁶·κ⁻⁴·i²·M_m⁻⁴·R⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "3", "length": "-6", "thermal_cond": "-4", "current": "2", "capacitance": "-1", "molar_mass": "-4", "gas_constant": "4"} |
7 | capacitance,concentration,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·C_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·κ⁴·i⁻²·C_e·c_n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁶·κ⁻⁴·i²·C_e⁻¹·c_n⁴·R⁴ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "-6", "thermal_cond": "4", "current": "-2", "capacitance": "1", "concentration": "-4", "gas_constant": "-4"} |
7 | capacitance,current,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·i·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻⁴·i⁶·C_e⁻³·E_m⁻⁴·R⁴ | m = k₀ · ℓ²·κ⁴·i⁻⁶·C_e³·E_m⁴·R⁻⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-4", "current": "6", "capacitance": "-3", "molar_energy": "-4", "gas_constant": "4"} |
7 | avogadro,capacitance,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·C_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁶·κ⁴·i⁻²·C_e·R⁻⁴·N_A⁴ | m = k₀ · ℓ⁻⁶·κ⁻⁴·i²·C_e⁻¹·R⁴·N_A⁻⁴ | null | 1 | 5 | 6 | 22 | 20.4 | -12.4 | false | {"mass": "1", "length": "6", "thermal_cond": "4", "current": "-2", "capacitance": "1", "gas_constant": "-4", "avogadro": "4"} |
6 | boltzmann,capacitance,current,length,mass,thermal_cond | m·ℓ·κ·i·C_e·k_B | constants,em,mechanics,thermo | m·ℓ⁶·κ⁴·i⁻²·C_e·k_B⁻⁴ | m = k₀ · ℓ⁻⁶·κ⁻⁴·i²·C_e⁻¹·k_B⁴ | null | 1 | 4 | 6 | 18 | 16.7 | -8.2 | false | {"mass": "1", "length": "6", "thermal_cond": "4", "current": "-2", "capacitance": "1", "boltzmann": "-4"} |
7 | amount,current,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·i·L_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻²·L_e⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·i²·L_e·n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-2", "inductance": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,inductance,length,mass,molar_mass,thermal_cond | m·ℓ·κ·i·L_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·i²·L_e·M_m⁻²·R² | m = k₀ · ℓ⁴·κ²·i⁻²·L_e⁻¹·M_m²·R⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "current": "2", "inductance": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,current,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·i·L_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·i⁻²·L_e⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ²·κ⁻²·i²·L_e·c_n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "current": "-2", "inductance": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,inductance,length,mass,molar_energy,thermal_cond | m·ℓ·κ·i·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻⁶·L_e⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·i⁶·L_e³·E_m⁻²·R² | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-6", "inductance": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,current,gas_constant,inductance,length,mass,thermal_cond | m·ℓ·κ·i·L_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻²·L_e⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·i²·L_e·R²·N_A⁻² | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-2", "inductance": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,current,inductance,length,mass,thermal_cond | m·ℓ·κ·i·L_e·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻²·L_e⁻¹·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·i²·L_e·k_B² | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-2", "inductance": "-1", "boltzmann": "-2"} |
7 | amount,current,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ³·i⁻¹·E_f⁻¹·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·κ⁻³·i·E_f·n³·R³ | null | 0 | 4 | 4 | 16 | 14.6 | -6.1 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "current": "-1", "efield": "-1", "amount": "-3", "gas_constant": "-3"} |
7 | current,efield,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·i·E_f·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·κ⁻³·i·E_f·M_m⁻³·R³ | i = k₀ · m⁻²·ℓ⁴·κ³·E_f⁻¹·M_m³·R⁻³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "2", "length": "-4", "thermal_cond": "-3", "current": "1", "efield": "1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,current,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ³·i⁻¹·E_f⁻¹·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·κ⁻³·i·E_f·c_n³·R³ | null | 0 | 4 | 5 | 17 | 15.8 | -7.3 | false | {"mass": "1", "length": "-5", "thermal_cond": "3", "current": "-1", "efield": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ³·i⁻¹·E_f⁻¹·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·κ⁻³·i·E_f·R³·N_A⁻³ | null | 1 | 5 | 4 | 16 | 15.2 | -7.2 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "current": "-1", "efield": "-1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,efield,length,mass,thermal_cond | m·ℓ·κ·i·E_f·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ³·i⁻¹·E_f⁻¹·k_B⁻³ | m = k₀ · ℓ⁻⁴·κ⁻³·i·E_f·k_B³ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "current": "-1", "efield": "-1", "boltzmann": "-3"} |
7 | amount,bfield,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·B·n·R | chemistry,em,mechanics,thermo | m·ℓ²·κ²·i⁻¹·B⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻²·κ⁻²·i·B·n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "2", "thermal_cond": "2", "current": "-1", "bfield": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | bfield,current,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·i·B·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻²·i·B·M_m⁻²·R² | m = k₀ · ℓ²·κ²·i⁻¹·B⁻¹·M_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-2", "thermal_cond": "-2", "current": "1", "bfield": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | bfield,concentration,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ²·i⁻¹·B⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ⁴·κ⁻²·i·B·c_n²·R² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "-4", "thermal_cond": "2", "current": "-1", "bfield": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | bfield,current,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·i·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·i⁻³·B⁻³·E_m²·R⁻² | m = k₀ · ℓ²·κ⁻²·i³·B³·E_m⁻²·R² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "current": "-3", "bfield": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,bfield,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·B·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·κ²·i⁻¹·B⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻²·κ⁻²·i·B·R²·N_A⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "2", "thermal_cond": "2", "current": "-1", "bfield": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | bfield,boltzmann,current,length,mass,thermal_cond | m·ℓ·κ·i·B·k_B | constants,em,mechanics,thermo | m·ℓ²·κ²·i⁻¹·B⁻¹·k_B⁻² | m = k₀ · ℓ⁻²·κ⁻²·i·B·k_B² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "thermal_cond": "2", "current": "-1", "bfield": "-1", "boltzmann": "-2"} |
7 | amount,current,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·i·Φ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻¹·Φ⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·i·Φ·n²·R² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-1", "mag_flux": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,length,mag_flux,mass,molar_mass,thermal_cond | m·ℓ·κ·i·Φ·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·i·Φ·M_m⁻²·R² | m = k₀ · ℓ⁴·κ²·i⁻¹·Φ⁻¹·M_m²·R⁻² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "current": "1", "mag_flux": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,current,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·i·Φ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·i⁻¹·Φ⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ²·κ⁻²·i·Φ·c_n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "current": "-1", "mag_flux": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,length,mag_flux,mass,molar_energy,thermal_cond | m·ℓ·κ·i·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻³·Φ⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·i³·Φ³·E_m⁻²·R² | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-3", "mag_flux": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,current,gas_constant,length,mag_flux,mass,thermal_cond | m·ℓ·κ·i·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻¹·Φ⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·i·Φ·R²·N_A⁻² | null | 1 | 5 | 4 | 13 | 13.1 | -5.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-1", "mag_flux": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,current,length,mag_flux,mass,thermal_cond | m·ℓ·κ·i·Φ·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ²·i⁻¹·Φ⁻¹·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·i·Φ·k_B² | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "current": "-1", "mag_flux": "-1", "boltzmann": "-2"} |
7 | amount,current,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·i·ε·n·R | chemistry,em,mechanics,thermo | m·ℓ⁷·κ⁴·i⁻²·ε·n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁻⁷·κ⁻⁴·i²·ε⁻¹·n⁴·R⁴ | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "7", "thermal_cond": "4", "current": "-2", "permittivity": "1", "amount": "-4", "gas_constant": "-4"} |
7 | current,gas_constant,length,mass,molar_mass,permittivity,thermal_cond | m·ℓ·κ·i·ε·M_m·R | chemistry,em,mechanics,thermo | m³·ℓ⁻⁷·κ⁻⁴·i²·ε⁻¹·M_m⁻⁴·R⁴ | ε = k₀ · m³·ℓ⁻⁷·κ⁻⁴·i²·M_m⁻⁴·R⁴ | null | 0 | 4 | 7 | 25 | 22.4 | -13.9 | false | {"mass": "3", "length": "-7", "thermal_cond": "-4", "current": "2", "permittivity": "-1", "molar_mass": "-4", "gas_constant": "4"} |
7 | concentration,current,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·i·ε·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁴·i⁻²·ε·c_n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁵·κ⁻⁴·i²·ε⁻¹·c_n⁴·R⁴ | null | 0 | 4 | 5 | 21 | 18.6 | -10.1 | false | {"mass": "1", "length": "-5", "thermal_cond": "4", "current": "-2", "permittivity": "1", "concentration": "-4", "gas_constant": "-4"} |
7 | current,gas_constant,length,mass,molar_energy,permittivity,thermal_cond | m·ℓ·κ·i·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻⁴·i⁶·ε⁻³·E_m⁻⁴·R⁴ | m = k₀ · ℓ⁵·κ⁴·i⁻⁶·ε³·E_m⁴·R⁻⁴ | null | 0 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "-4", "current": "6", "permittivity": "-3", "molar_energy": "-4", "gas_constant": "4"} |
7 | avogadro,current,gas_constant,length,mass,permittivity,thermal_cond | m·ℓ·κ·i·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁷·κ⁴·i⁻²·ε·R⁻⁴·N_A⁴ | m = k₀ · ℓ⁻⁷·κ⁻⁴·i²·ε⁻¹·R⁴·N_A⁻⁴ | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "1", "length": "7", "thermal_cond": "4", "current": "-2", "permittivity": "1", "gas_constant": "-4", "avogadro": "4"} |
6 | boltzmann,current,length,mass,permittivity,thermal_cond | m·ℓ·κ·i·ε·k_B | constants,em,mechanics,thermo | m·ℓ⁷·κ⁴·i⁻²·ε·k_B⁻⁴ | m = k₀ · ℓ⁻⁷·κ⁻⁴·i²·ε⁻¹·k_B⁴ | null | 1 | 4 | 7 | 19 | 17.9 | -9.4 | false | {"mass": "1", "length": "7", "thermal_cond": "4", "current": "-2", "permittivity": "1", "boltzmann": "-4"} |
7 | amount,current,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·i·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ²·i⁻²·μ₀⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻³·κ⁻²·i²·μ₀·n²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "current": "-2", "permeability": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,length,mass,molar_mass,permeability,thermal_cond | m·ℓ·κ·i·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ⁻²·i²·μ₀·M_m⁻²·R² | m = k₀ · ℓ³·κ²·i⁻²·μ₀⁻¹·M_m²·R⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "-3", "thermal_cond": "-2", "current": "2", "permeability": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,current,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·i·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ²·i⁻²·μ₀⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ³·κ⁻²·i²·μ₀·c_n²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "-3", "thermal_cond": "2", "current": "-2", "permeability": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,length,mass,molar_energy,permeability,thermal_cond | m·ℓ·κ·i·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ²·i⁻⁶·μ₀⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻¹·κ⁻²·i⁶·μ₀³·E_m⁻²·R² | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "current": "-6", "permeability": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,current,gas_constant,length,mass,permeability,thermal_cond | m·ℓ·κ·i·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ²·i⁻²·μ₀⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻³·κ⁻²·i²·μ₀·R²·N_A⁻² | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "current": "-2", "permeability": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,current,length,mass,permeability,thermal_cond | m·ℓ·κ·i·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ³·κ²·i⁻²·μ₀⁻¹·k_B⁻² | m = k₀ · ℓ⁻³·κ⁻²·i²·μ₀·k_B² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "current": "-2", "permeability": "-1", "boltzmann": "-2"} |
7 | amount,conductivity,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁶·κ³·i⁻²·σ·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁶·κ⁻³·i²·σ⁻¹·n³·R³ | null | 0 | 4 | 6 | 19 | 17.7 | -9.2 | false | {"mass": "1", "length": "6", "thermal_cond": "3", "current": "-2", "conductivity": "1", "amount": "-3", "gas_constant": "-3"} |
7 | conductivity,current,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·i·σ·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁶·κ⁻³·i²·σ⁻¹·M_m⁻³·R³ | σ = k₀ · m²·ℓ⁻⁶·κ⁻³·i²·M_m⁻³·R³ | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "2", "length": "-6", "thermal_cond": "-3", "current": "2", "conductivity": "-1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,conductivity,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ³·i⁻²·σ·c_n⁻³·R⁻³ | m = k₀ · ℓ³·κ⁻³·i²·σ⁻¹·c_n³·R³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "-3", "thermal_cond": "3", "current": "-2", "conductivity": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,conductivity,current,gas_constant,length,mass,thermal_cond | m·ℓ·κ·i·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁶·κ³·i⁻²·σ·R⁻³·N_A³ | m = k₀ · ℓ⁻⁶·κ⁻³·i²·σ⁻¹·R³·N_A⁻³ | null | 1 | 5 | 6 | 19 | 18.3 | -10.3 | false | {"mass": "1", "length": "6", "thermal_cond": "3", "current": "-2", "conductivity": "1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,conductivity,current,length,mass,thermal_cond | m·ℓ·κ·i·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁶·κ³·i⁻²·σ·k_B⁻³ | m = k₀ · ℓ⁻⁶·κ⁻³·i²·σ⁻¹·k_B³ | null | 1 | 4 | 6 | 16 | 15.3 | -6.8 | false | {"mass": "1", "length": "6", "thermal_cond": "3", "current": "-2", "conductivity": "1", "boltzmann": "-3"} |
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