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,current,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·i·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁶·κ³·i⁻²·ρ_e⁻¹·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁶·κ⁻³·i²·ρ_e·n³·R³ | null | 0 | 4 | 6 | 19 | 17.7 | -9.2 | false | {"mass": "1", "length": "6", "thermal_cond": "3", "current": "-2", "resistivity": "-1", "amount": "-3", "gas_constant": "-3"} |
7 | current,gas_constant,length,mass,molar_mass,resistivity,thermal_cond | m·ℓ·κ·i·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁶·κ⁻³·i²·ρ_e·M_m⁻³·R³ | ρ_e = k₀ · m⁻²·ℓ⁶·κ³·i⁻²·M_m³·R⁻³ | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "2", "length": "-6", "thermal_cond": "-3", "current": "2", "resistivity": "1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,current,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·i·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ³·i⁻²·ρ_e⁻¹·c_n⁻³·R⁻³ | m = k₀ · ℓ³·κ⁻³·i²·ρ_e·c_n³·R³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "-3", "thermal_cond": "3", "current": "-2", "resistivity": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,gas_constant,length,mass,resistivity,thermal_cond | m·ℓ·κ·i·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁶·κ³·i⁻²·ρ_e⁻¹·R⁻³·N_A³ | m = k₀ · ℓ⁻⁶·κ⁻³·i²·ρ_e·R³·N_A⁻³ | null | 1 | 5 | 6 | 19 | 18.3 | -10.3 | false | {"mass": "1", "length": "6", "thermal_cond": "3", "current": "-2", "resistivity": "-1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,length,mass,resistivity,thermal_cond | m·ℓ·κ·i·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁶·κ³·i⁻²·ρ_e⁻¹·k_B⁻³ | m = k₀ · ℓ⁻⁶·κ⁻³·i²·ρ_e·k_B³ | null | 1 | 4 | 6 | 16 | 15.3 | -6.8 | false | {"mass": "1", "length": "6", "thermal_cond": "3", "current": "-2", "resistivity": "-1", "boltzmann": "-3"} |
7 | current,elem_charge,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·i·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·i·M_m⁻¹·R·e⁻¹ | m = k₀ · ℓ·κ·i⁻¹·M_m·R⁻¹·e | null | 1 | 5 | 1 | 7 | 7.4 | 0.6 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "current": "1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-1"} |
7 | current,elem_charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·i·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ·κ⁻¹·i³·E_m⁻¹·R·e⁻³ | m = k₀ · ℓ⁻¹·κ·i⁻³·E_m·R⁻¹·e³ | null | 1 | 5 | 3 | 11 | 11.2 | -3.2 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "current": "3", "molar_energy": "-1", "gas_constant": "1", "elem_charge": "-3"} |
7 | amount,gas_constant,length,mass,resistance,thermal_cond,voltage | m·ℓ·κ·U·R·n·R | chemistry,em,mechanics,thermo | m·ℓ⁵·κ³·U⁻²·R·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·U²·R⁻¹·n³·R³ | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "voltage": "-2", "resistance": "1", "amount": "-3", "gas_constant": "-3"} |
7 | gas_constant,length,mass,molar_mass,resistance,thermal_cond,voltage | m·ℓ·κ·U·R·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁵·κ⁻³·U²·R⁻¹·M_m⁻³·R³ | R = k₀ · m²·ℓ⁻⁵·κ⁻³·U²·M_m⁻³·R³ | null | 0 | 4 | 5 | 19 | 17.2 | -8.7 | false | {"mass": "2", "length": "-5", "thermal_cond": "-3", "voltage": "2", "resistance": "-1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,gas_constant,length,mass,resistance,thermal_cond,voltage | m·ℓ·κ·U·R·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ³·U⁻²·R·c_n⁻³·R⁻³ | m = k₀ · ℓ⁴·κ⁻³·U²·R⁻¹·c_n³·R³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "-4", "thermal_cond": "3", "voltage": "-2", "resistance": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,gas_constant,length,mass,resistance,thermal_cond,voltage | m·ℓ·κ·U·R·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁵·κ³·U⁻²·R·R⁻³·N_A³ | m = k₀ · ℓ⁻⁵·κ⁻³·U²·R⁻¹·R³·N_A⁻³ | null | 1 | 5 | 5 | 18 | 17.1 | -9.1 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "voltage": "-2", "resistance": "1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,length,mass,resistance,thermal_cond,voltage | m·ℓ·κ·U·R·k_B | constants,em,mechanics,thermo | m·ℓ⁵·κ³·U⁻²·R·k_B⁻³ | m = k₀ · ℓ⁻⁵·κ⁻³·U²·R⁻¹·k_B³ | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "1", "length": "5", "thermal_cond": "3", "voltage": "-2", "resistance": "1", "boltzmann": "-3"} |
7 | amount,capacitance,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·C_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻²·C_e⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·U²·C_e·n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-2", "capacitance": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | capacitance,gas_constant,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·U·C_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·U²·C_e·M_m⁻²·R² | m = k₀ · ℓ⁴·κ²·U⁻²·C_e⁻¹·M_m²·R⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "voltage": "2", "capacitance": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | capacitance,concentration,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·C_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·U⁻²·C_e⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ²·κ⁻²·U²·C_e·c_n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "voltage": "-2", "capacitance": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,gas_constant,length,mass,molar_energy,thermal_cond,voltage | m·ℓ·κ·U·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻⁶·C_e⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·U⁶·C_e³·E_m⁻²·R² | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-6", "capacitance": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,capacitance,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·C_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻²·C_e⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·U²·C_e·R²·N_A⁻² | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-2", "capacitance": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,capacitance,length,mass,thermal_cond,voltage | m·ℓ·κ·U·C_e·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻²·C_e⁻¹·k_B⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·U²·C_e·k_B² | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-2", "capacitance": "-1", "boltzmann": "-2"} |
7 | amount,gas_constant,inductance,length,mass,thermal_cond,voltage | m·ℓ·κ·U·L_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁶·κ⁴·U⁻²·L_e·n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁻⁶·κ⁻⁴·U²·L_e⁻¹·n⁴·R⁴ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "6", "thermal_cond": "4", "voltage": "-2", "inductance": "1", "amount": "-4", "gas_constant": "-4"} |
7 | gas_constant,inductance,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·U·L_e·M_m·R | chemistry,em,mechanics,thermo | m³·ℓ⁻⁶·κ⁻⁴·U²·L_e⁻¹·M_m⁻⁴·R⁴ | L_e = k₀ · m³·ℓ⁻⁶·κ⁻⁴·U²·M_m⁻⁴·R⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "3", "length": "-6", "thermal_cond": "-4", "voltage": "2", "inductance": "-1", "molar_mass": "-4", "gas_constant": "4"} |
7 | concentration,gas_constant,inductance,length,mass,thermal_cond,voltage | m·ℓ·κ·U·L_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·κ⁴·U⁻²·L_e·c_n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁶·κ⁻⁴·U²·L_e⁻¹·c_n⁴·R⁴ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "-6", "thermal_cond": "4", "voltage": "-2", "inductance": "1", "concentration": "-4", "gas_constant": "-4"} |
7 | gas_constant,inductance,length,mass,molar_energy,thermal_cond,voltage | m·ℓ·κ·U·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻⁴·U⁶·L_e⁻³·E_m⁻⁴·R⁴ | m = k₀ · ℓ²·κ⁴·U⁻⁶·L_e³·E_m⁴·R⁻⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "-4", "voltage": "6", "inductance": "-3", "molar_energy": "-4", "gas_constant": "4"} |
7 | avogadro,gas_constant,inductance,length,mass,thermal_cond,voltage | m·ℓ·κ·U·L_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁶·κ⁴·U⁻²·L_e·R⁻⁴·N_A⁴ | m = k₀ · ℓ⁻⁶·κ⁻⁴·U²·L_e⁻¹·R⁴·N_A⁻⁴ | null | 1 | 5 | 6 | 22 | 20.4 | -12.4 | false | {"mass": "1", "length": "6", "thermal_cond": "4", "voltage": "-2", "inductance": "1", "gas_constant": "-4", "avogadro": "4"} |
6 | boltzmann,inductance,length,mass,thermal_cond,voltage | m·ℓ·κ·U·L_e·k_B | constants,em,mechanics,thermo | m·ℓ⁶·κ⁴·U⁻²·L_e·k_B⁻⁴ | m = k₀ · ℓ⁻⁶·κ⁻⁴·U²·L_e⁻¹·k_B⁴ | null | 1 | 4 | 6 | 18 | 16.7 | -8.2 | false | {"mass": "1", "length": "6", "thermal_cond": "4", "voltage": "-2", "inductance": "1", "boltzmann": "-4"} |
7 | bfield,gas_constant,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·U·B·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ⁻¹·U·B⁻¹·M_m⁻¹·R | m = k₀ · ℓ³·κ·U⁻¹·B·M_m·R⁻¹ | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "length": "-3", "thermal_cond": "-1", "voltage": "1", "bfield": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,gas_constant,length,mass,molar_energy,thermal_cond,voltage | m·ℓ·κ·U·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻¹·U³·B⁻³·E_m⁻¹·R | m = k₀ · ℓ⁵·κ·U⁻³·B³·E_m·R⁻¹ | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "thermal_cond": "-1", "voltage": "3", "bfield": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mag_flux,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·U·Φ·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·U·Φ⁻¹·M_m⁻¹·R | m = k₀ · ℓ·κ·U⁻¹·Φ·M_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "voltage": "1", "mag_flux": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mag_flux,mass,molar_energy,thermal_cond,voltage | m·ℓ·κ·U·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻¹·U³·Φ⁻³·E_m⁻¹·R | m = k₀ · ℓ⁻¹·κ·U⁻³·Φ³·E_m·R⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "voltage": "3", "mag_flux": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,gas_constant,length,mass,permittivity,thermal_cond,voltage | m·ℓ·κ·U·ε·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ²·U⁻²·ε⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻³·κ⁻²·U²·ε·n²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "voltage": "-2", "permittivity": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | gas_constant,length,mass,molar_mass,permittivity,thermal_cond,voltage | m·ℓ·κ·U·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ⁻²·U²·ε·M_m⁻²·R² | m = k₀ · ℓ³·κ²·U⁻²·ε⁻¹·M_m²·R⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "-3", "thermal_cond": "-2", "voltage": "2", "permittivity": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,gas_constant,length,mass,permittivity,thermal_cond,voltage | m·ℓ·κ·U·ε·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·κ²·U⁻²·ε⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ³·κ⁻²·U²·ε·c_n²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "-3", "thermal_cond": "2", "voltage": "-2", "permittivity": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | gas_constant,length,mass,molar_energy,permittivity,thermal_cond,voltage | m·ℓ·κ·U·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ²·U⁻⁶·ε⁻³·E_m²·R⁻² | m = k₀ · ℓ⁻¹·κ⁻²·U⁶·ε³·E_m⁻²·R² | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "1", "length": "1", "thermal_cond": "2", "voltage": "-6", "permittivity": "-3", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,gas_constant,length,mass,permittivity,thermal_cond,voltage | m·ℓ·κ·U·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ²·U⁻²·ε⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻³·κ⁻²·U²·ε·R²·N_A⁻² | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "voltage": "-2", "permittivity": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,length,mass,permittivity,thermal_cond,voltage | m·ℓ·κ·U·ε·k_B | constants,em,mechanics,thermo | m·ℓ³·κ²·U⁻²·ε⁻¹·k_B⁻² | m = k₀ · ℓ⁻³·κ⁻²·U²·ε·k_B² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "3", "thermal_cond": "2", "voltage": "-2", "permittivity": "-1", "boltzmann": "-2"} |
7 | amount,gas_constant,length,mass,permeability,thermal_cond,voltage | m·ℓ·κ·U·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ⁷·κ⁴·U⁻²·μ₀·n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁻⁷·κ⁻⁴·U²·μ₀⁻¹·n⁴·R⁴ | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "7", "thermal_cond": "4", "voltage": "-2", "permeability": "1", "amount": "-4", "gas_constant": "-4"} |
7 | gas_constant,length,mass,molar_mass,permeability,thermal_cond,voltage | m·ℓ·κ·U·μ₀·M_m·R | chemistry,em,mechanics,thermo | m³·ℓ⁻⁷·κ⁻⁴·U²·μ₀⁻¹·M_m⁻⁴·R⁴ | μ₀ = k₀ · m³·ℓ⁻⁷·κ⁻⁴·U²·M_m⁻⁴·R⁴ | null | 0 | 4 | 7 | 25 | 22.4 | -13.9 | false | {"mass": "3", "length": "-7", "thermal_cond": "-4", "voltage": "2", "permeability": "-1", "molar_mass": "-4", "gas_constant": "4"} |
7 | concentration,gas_constant,length,mass,permeability,thermal_cond,voltage | m·ℓ·κ·U·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁴·U⁻²·μ₀·c_n⁻⁴·R⁻⁴ | m = k₀ · ℓ⁵·κ⁻⁴·U²·μ₀⁻¹·c_n⁴·R⁴ | null | 0 | 4 | 5 | 21 | 18.6 | -10.1 | false | {"mass": "1", "length": "-5", "thermal_cond": "4", "voltage": "-2", "permeability": "1", "concentration": "-4", "gas_constant": "-4"} |
7 | gas_constant,length,mass,molar_energy,permeability,thermal_cond,voltage | m·ℓ·κ·U·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ⁻⁴·U⁶·μ₀⁻³·E_m⁻⁴·R⁴ | m = k₀ · ℓ⁵·κ⁴·U⁻⁶·μ₀³·E_m⁴·R⁻⁴ | null | 0 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "1", "length": "-5", "thermal_cond": "-4", "voltage": "6", "permeability": "-3", "molar_energy": "-4", "gas_constant": "4"} |
7 | avogadro,gas_constant,length,mass,permeability,thermal_cond,voltage | m·ℓ·κ·U·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁷·κ⁴·U⁻²·μ₀·R⁻⁴·N_A⁴ | m = k₀ · ℓ⁻⁷·κ⁻⁴·U²·μ₀⁻¹·R⁴·N_A⁻⁴ | null | 1 | 5 | 7 | 23 | 21.6 | -13.6 | false | {"mass": "1", "length": "7", "thermal_cond": "4", "voltage": "-2", "permeability": "1", "gas_constant": "-4", "avogadro": "4"} |
6 | boltzmann,length,mass,permeability,thermal_cond,voltage | m·ℓ·κ·U·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ⁷·κ⁴·U⁻²·μ₀·k_B⁻⁴ | m = k₀ · ℓ⁻⁷·κ⁻⁴·U²·μ₀⁻¹·k_B⁴ | null | 1 | 4 | 7 | 19 | 17.9 | -9.4 | false | {"mass": "1", "length": "7", "thermal_cond": "4", "voltage": "-2", "permeability": "1", "boltzmann": "-4"} |
7 | amount,conductivity,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ³·U⁻²·σ⁻¹·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·κ⁻³·U²·σ·n³·R³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "voltage": "-2", "conductivity": "-1", "amount": "-3", "gas_constant": "-3"} |
7 | conductivity,gas_constant,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·U·σ·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·κ⁻³·U²·σ·M_m⁻³·R³ | σ = k₀ · m⁻²·ℓ⁴·κ³·U⁻²·M_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "2", "length": "-4", "thermal_cond": "-3", "voltage": "2", "conductivity": "1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,conductivity,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ³·U⁻²·σ⁻¹·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·κ⁻³·U²·σ·c_n³·R³ | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "1", "length": "-5", "thermal_cond": "3", "voltage": "-2", "conductivity": "-1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,conductivity,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ³·U⁻²·σ⁻¹·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·κ⁻³·U²·σ·R³·N_A⁻³ | null | 1 | 5 | 4 | 17 | 15.9 | -7.9 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "voltage": "-2", "conductivity": "-1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,conductivity,length,mass,thermal_cond,voltage | m·ℓ·κ·U·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ³·U⁻²·σ⁻¹·k_B⁻³ | m = k₀ · ℓ⁻⁴·κ⁻³·U²·σ·k_B³ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "voltage": "-2", "conductivity": "-1", "boltzmann": "-3"} |
7 | amount,gas_constant,length,mass,resistivity,thermal_cond,voltage | m·ℓ·κ·U·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ³·U⁻²·ρ_e·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·κ⁻³·U²·ρ_e⁻¹·n³·R³ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "voltage": "-2", "resistivity": "1", "amount": "-3", "gas_constant": "-3"} |
7 | gas_constant,length,mass,molar_mass,resistivity,thermal_cond,voltage | m·ℓ·κ·U·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·κ⁻³·U²·ρ_e⁻¹·M_m⁻³·R³ | ρ_e = k₀ · m²·ℓ⁻⁴·κ⁻³·U²·M_m⁻³·R³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "2", "length": "-4", "thermal_cond": "-3", "voltage": "2", "resistivity": "-1", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,gas_constant,length,mass,resistivity,thermal_cond,voltage | m·ℓ·κ·U·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·κ³·U⁻²·ρ_e·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·κ⁻³·U²·ρ_e⁻¹·c_n³·R³ | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "1", "length": "-5", "thermal_cond": "3", "voltage": "-2", "resistivity": "1", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,gas_constant,length,mass,resistivity,thermal_cond,voltage | m·ℓ·κ·U·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ³·U⁻²·ρ_e·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·κ⁻³·U²·ρ_e⁻¹·R³·N_A⁻³ | null | 1 | 5 | 4 | 17 | 15.9 | -7.9 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "voltage": "-2", "resistivity": "1", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,length,mass,resistivity,thermal_cond,voltage | m·ℓ·κ·U·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁴·κ³·U⁻²·ρ_e·k_B⁻³ | m = k₀ · ℓ⁻⁴·κ⁻³·U²·ρ_e⁻¹·k_B³ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "1", "length": "4", "thermal_cond": "3", "voltage": "-2", "resistivity": "1", "boltzmann": "-3"} |
7 | amount,elem_charge,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻¹·n⁻²·R⁻²·e⁻¹ | m = k₀ · ℓ⁻⁴·κ⁻²·U·n²·R²·e | null | 1 | 5 | 4 | 13 | 13.1 | -5.1 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-1", "amount": "-2", "gas_constant": "-2", "elem_charge": "-1"} |
7 | elem_charge,gas_constant,length,mass,molar_mass,thermal_cond,voltage | m·ℓ·κ·U·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·U·M_m⁻²·R²·e | m = k₀ · ℓ⁴·κ²·U⁻¹·M_m²·R⁻²·e⁻¹ | null | 1 | 5 | 4 | 13 | 13.1 | -5.1 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "voltage": "1", "molar_mass": "-2", "gas_constant": "2", "elem_charge": "1"} |
7 | concentration,elem_charge,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·κ²·U⁻¹·c_n⁻²·R⁻²·e⁻¹ | m = k₀ · ℓ²·κ⁻²·U·c_n²·R²·e | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "voltage": "-1", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-1"} |
7 | elem_charge,gas_constant,length,mass,molar_energy,thermal_cond,voltage | m·ℓ·κ·U·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻³·E_m²·R⁻²·e⁻³ | m = k₀ · ℓ⁻⁴·κ⁻²·U³·E_m⁻²·R²·e³ | null | 1 | 5 | 4 | 17 | 15.9 | -7.9 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-3", "molar_energy": "2", "gas_constant": "-2", "elem_charge": "-3"} |
7 | avogadro,elem_charge,gas_constant,length,mass,thermal_cond,voltage | m·ℓ·κ·U·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻¹·R⁻²·e⁻¹·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·U·R²·e·N_A⁻² | null | 2 | 5 | 4 | 13 | 14.1 | -7.6 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-1", "gas_constant": "-2", "elem_charge": "-1", "avogadro": "2"} |
6 | boltzmann,elem_charge,length,mass,thermal_cond,voltage | m·ℓ·κ·U·k_B·e | constants,em,mechanics,thermo | m·ℓ⁴·κ²·U⁻¹·k_B⁻²·e⁻¹ | m = k₀ · ℓ⁻⁴·κ⁻²·U·k_B²·e | null | 2 | 4 | 4 | 11 | 11.8 | -4.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "voltage": "-1", "boltzmann": "-2", "elem_charge": "-1"} |
7 | capacitance,gas_constant,length,mass,molar_mass,resistance,thermal_cond | m·ℓ·κ·R·C_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·R⁻¹·C_e⁻¹·M_m⁻¹·R | m = k₀ · ℓ·κ·R·C_e·M_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "resistance": "-1", "capacitance": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | capacitance,gas_constant,length,mass,molar_energy,resistance,thermal_cond | m·ℓ·κ·R·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻¹·R⁻³·C_e⁻³·E_m⁻¹·R | m = k₀ · ℓ⁻¹·κ·R³·C_e³·E_m·R⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "resistance": "-3", "capacitance": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,inductance,length,mass,molar_mass,resistance,thermal_cond | m·ℓ·κ·R·L_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ⁻¹·R·L_e⁻¹·M_m⁻¹·R | m = k₀ · ℓ·κ·R⁻¹·L_e·M_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "-1", "thermal_cond": "-1", "resistance": "1", "inductance": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,inductance,length,mass,molar_energy,resistance,thermal_cond | m·ℓ·κ·R·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·κ⁻¹·R³·L_e⁻³·E_m⁻¹·R | m = k₀ · ℓ⁻¹·κ·R⁻³·L_e³·E_m·R⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "length": "1", "thermal_cond": "-1", "resistance": "3", "inductance": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,efield,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ³·R·E_f⁻²·n⁻³·R⁻³ | m = k₀ · ℓ⁻³·κ⁻³·R⁻¹·E_f²·n³·R³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "3", "thermal_cond": "3", "resistance": "1", "efield": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | efield,gas_constant,length,mass,molar_mass,resistance,thermal_cond | m·ℓ·κ·R·E_f·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻³·κ⁻³·R⁻¹·E_f²·M_m⁻³·R³ | R = k₀ · m²·ℓ⁻³·κ⁻³·E_f²·M_m⁻³·R³ | null | 0 | 4 | 3 | 17 | 14.8 | -6.3 | false | {"mass": "2", "length": "-3", "thermal_cond": "-3", "resistance": "-1", "efield": "2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,efield,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·κ³·R·E_f⁻²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁶·κ⁻³·R⁻¹·E_f²·c_n³·R³ | null | 0 | 4 | 6 | 19 | 17.7 | -9.2 | false | {"mass": "1", "length": "-6", "thermal_cond": "3", "resistance": "1", "efield": "-2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,efield,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ³·R·E_f⁻²·R⁻³·N_A³ | m = k₀ · ℓ⁻³·κ⁻³·R⁻¹·E_f²·R³·N_A⁻³ | null | 1 | 5 | 3 | 16 | 14.7 | -6.7 | false | {"mass": "1", "length": "3", "thermal_cond": "3", "resistance": "1", "efield": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,efield,length,mass,resistance,thermal_cond | m·ℓ·κ·R·E_f·k_B | constants,em,mechanics,thermo | m·ℓ³·κ³·R·E_f⁻²·k_B⁻³ | m = k₀ · ℓ⁻³·κ⁻³·R⁻¹·E_f²·k_B³ | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "1", "length": "3", "thermal_cond": "3", "resistance": "1", "efield": "-2", "boltzmann": "-3"} |
7 | amount,bfield,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·B·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·κ·R·B⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ·κ⁻¹·R⁻¹·B²·n·R | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-1", "thermal_cond": "1", "resistance": "1", "bfield": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,concentration,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ·R·B⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁴·κ⁻¹·R⁻¹·B²·c_n·R | null | 0 | 4 | 4 | 11 | 11.1 | -2.6 | false | {"mass": "1", "length": "-4", "thermal_cond": "1", "resistance": "1", "bfield": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,gas_constant,length,mass,molar_energy,resistance,thermal_cond | m·ℓ·κ·R·B·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁷·κ·R³·B⁻⁶·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁷·R⁻³·B⁶·E_m⁻¹·R | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "2", "length": "-7", "thermal_cond": "1", "resistance": "3", "bfield": "-6", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,bfield,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·B·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻¹·κ·R·B⁻²·R⁻¹·N_A | m = k₀ · ℓ·κ⁻¹·R⁻¹·B²·R·N_A⁻¹ | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "-1", "thermal_cond": "1", "resistance": "1", "bfield": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,length,mass,resistance,thermal_cond | m·ℓ·κ·R·B·k_B | constants,em,mechanics,thermo | m·ℓ⁻¹·κ·R·B⁻²·k_B⁻¹ | m = k₀ · ℓ·κ⁻¹·R⁻¹·B²·k_B | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "-1", "thermal_cond": "1", "resistance": "1", "bfield": "-2", "boltzmann": "-1"} |
7 | amount,gas_constant,length,mag_flux,mass,resistance,thermal_cond | m·ℓ·κ·R·Φ·n·R | chemistry,em,mechanics,thermo | m·ℓ³·κ·R·Φ⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·R⁻¹·Φ²·n·R | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "resistance": "1", "mag_flux": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | gas_constant,length,mag_flux,mass,molar_energy,resistance,thermal_cond | m·ℓ·κ·R·Φ·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁵·κ·R³·Φ⁻⁶·E_m·R⁻¹ | κ = k₀ · m⁻²·ℓ⁻⁵·R⁻³·Φ⁶·E_m⁻¹·R | null | 0 | 4 | 6 | 19 | 17.7 | -9.2 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "resistance": "3", "mag_flux": "-6", "molar_energy": "1", "gas_constant": "-1"} |
7 | avogadro,gas_constant,length,mag_flux,mass,resistance,thermal_cond | m·ℓ·κ·R·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·R·Φ⁻²·R⁻¹·N_A | m = k₀ · ℓ⁻³·κ⁻¹·R⁻¹·Φ²·R·N_A⁻¹ | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "resistance": "1", "mag_flux": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,length,mag_flux,mass,resistance,thermal_cond | m·ℓ·κ·R·Φ·k_B | constants,em,mechanics,thermo | m·ℓ³·κ·R·Φ⁻²·k_B⁻¹ | m = k₀ · ℓ⁻³·κ⁻¹·R⁻¹·Φ²·k_B | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "resistance": "1", "mag_flux": "-2", "boltzmann": "-1"} |
7 | gas_constant,length,mass,molar_mass,permittivity,resistance,thermal_cond | m·ℓ·κ·R·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·R⁻¹·ε⁻¹·M_m⁻¹·R | m = k₀ · ℓ²·κ·R·ε·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "resistance": "-1", "permittivity": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_energy,permittivity,resistance,thermal_cond | m·ℓ·κ·R·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·R⁻³·ε⁻³·E_m⁻¹·R | m = k₀ · ℓ²·κ·R³·ε³·E_m·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "resistance": "-3", "permittivity": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_mass,permeability,resistance,thermal_cond | m·ℓ·κ·R·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·R·μ₀⁻¹·M_m⁻¹·R | m = k₀ · ℓ²·κ·R⁻¹·μ₀·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "resistance": "1", "permeability": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | gas_constant,length,mass,molar_energy,permeability,resistance,thermal_cond | m·ℓ·κ·R·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻¹·R³·μ₀⁻³·E_m⁻¹·R | m = k₀ · ℓ²·κ·R⁻³·μ₀³·E_m·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "-2", "thermal_cond": "-1", "resistance": "3", "permeability": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,elem_charge,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·R⁻¹·n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ⁻³·κ⁻¹·R·n·R·e² | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "resistance": "-1", "amount": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | elem_charge,gas_constant,length,mass,molar_energy,resistance,thermal_cond | m·ℓ·κ·R·E_m·R·e | chemistry,constants,em,mechanics,thermo | m²·ℓ⁵·κ·R⁻³·E_m·R⁻¹·e⁻⁶ | κ = k₀ · m⁻²·ℓ⁻⁵·R³·E_m⁻¹·R·e⁶ | null | 1 | 5 | 6 | 19 | 18.3 | -10.3 | false | {"mass": "2", "length": "5", "thermal_cond": "1", "resistance": "-3", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-6"} |
7 | avogadro,elem_charge,gas_constant,length,mass,resistance,thermal_cond | m·ℓ·κ·R·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ³·κ·R⁻¹·R⁻¹·e⁻²·N_A | m = k₀ · ℓ⁻³·κ⁻¹·R·R·e²·N_A⁻¹ | null | 2 | 5 | 3 | 10 | 11.5 | -5 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "resistance": "-1", "gas_constant": "-1", "elem_charge": "-2", "avogadro": "1"} |
6 | boltzmann,elem_charge,length,mass,resistance,thermal_cond | m·ℓ·κ·R·k_B·e | constants,em,mechanics,thermo | m·ℓ³·κ·R⁻¹·k_B⁻¹·e⁻² | m = k₀ · ℓ⁻³·κ⁻¹·R·k_B·e² | null | 2 | 4 | 3 | 9 | 9.9 | -2.9 | false | {"mass": "1", "length": "3", "thermal_cond": "1", "resistance": "-1", "boltzmann": "-1", "elem_charge": "-2"} |
7 | capacitance,gas_constant,inductance,length,mass,molar_mass,thermal_cond | m·ℓ·κ·C_e·L_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻²·κ⁻²·C_e⁻¹·L_e⁻¹·M_m⁻²·R² | C_e = k₀ · m²·ℓ⁻²·κ⁻²·L_e⁻¹·M_m⁻²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "2", "length": "-2", "thermal_cond": "-2", "capacitance": "-1", "inductance": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | capacitance,gas_constant,inductance,length,mass,molar_energy,thermal_cond | m·ℓ·κ·C_e·L_e·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ²·κ⁻²·C_e⁻³·L_e⁻³·E_m⁻²·R² | m = k₀ · ℓ⁻¹·κ·C_e³ᐟ²·L_e³ᐟ²·E_m·R⁻¹ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "2", "length": "2", "thermal_cond": "-2", "capacitance": "-3", "inductance": "-3", "molar_energy": "-2", "gas_constant": "2"} |
7 | amount,capacitance,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·C_e·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ²·κ²·C_e⁻¹·E_f⁻²·n⁻²·R⁻² | m = k₀ · ℓ⁻²·κ⁻²·C_e·E_f²·n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "thermal_cond": "2", "capacitance": "-1", "efield": "-2", "amount": "-2", "gas_constant": "-2"} |
7 | capacitance,efield,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·C_e·E_f·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ⁻²·C_e·E_f²·M_m⁻²·R² | m = k₀ · ℓ²·κ²·C_e⁻¹·E_f⁻²·M_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "thermal_cond": "-2", "capacitance": "1", "efield": "2", "molar_mass": "-2", "gas_constant": "2"} |
7 | capacitance,concentration,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·C_e·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·κ²·C_e⁻¹·E_f⁻²·c_n⁻²·R⁻² | m = k₀ · ℓ⁴·κ⁻²·C_e·E_f²·c_n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "thermal_cond": "2", "capacitance": "-1", "efield": "-2", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,efield,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·C_e·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·κ²·C_e⁻³·E_f⁻⁶·E_m²·R⁻² | m = k₀ · ℓ²·κ⁻²·C_e³·E_f⁶·E_m⁻²·R² | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "capacitance": "-3", "efield": "-6", "molar_energy": "2", "gas_constant": "-2"} |
7 | avogadro,capacitance,efield,gas_constant,length,mass,thermal_cond | m·ℓ·κ·C_e·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·κ²·C_e⁻¹·E_f⁻²·R⁻²·N_A² | m = k₀ · ℓ⁻²·κ⁻²·C_e·E_f²·R²·N_A⁻² | null | 1 | 5 | 2 | 12 | 11.4 | -3.4 | false | {"mass": "1", "length": "2", "thermal_cond": "2", "capacitance": "-1", "efield": "-2", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,capacitance,efield,length,mass,thermal_cond | m·ℓ·κ·C_e·E_f·k_B | constants,em,mechanics,thermo | m·ℓ²·κ²·C_e⁻¹·E_f⁻²·k_B⁻² | m = k₀ · ℓ⁻²·κ⁻²·C_e·E_f²·k_B² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "1", "length": "2", "thermal_cond": "2", "capacitance": "-1", "efield": "-2", "boltzmann": "-2"} |
7 | capacitance,gas_constant,length,mass,molar_mass,permeability,thermal_cond | m·ℓ·κ·C_e·μ₀·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻³·κ⁻²·C_e⁻¹·μ₀⁻¹·M_m⁻²·R² | C_e = k₀ · m²·ℓ⁻³·κ⁻²·μ₀⁻¹·M_m⁻²·R² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "2", "length": "-3", "thermal_cond": "-2", "capacitance": "-1", "permeability": "-1", "molar_mass": "-2", "gas_constant": "2"} |
7 | capacitance,gas_constant,length,mass,molar_energy,permeability,thermal_cond | m·ℓ·κ·C_e·μ₀·E_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻¹·κ⁻²·C_e⁻³·μ₀⁻³·E_m⁻²·R² | ℓ = k₀ · m²·κ⁻²·C_e⁻³·μ₀⁻³·E_m⁻²·R² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "2", "length": "-1", "thermal_cond": "-2", "capacitance": "-3", "permeability": "-3", "molar_energy": "-2", "gas_constant": "2"} |
7 | capacitance,conductivity,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·C_e·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ⁻¹·C_e⁻³·σ³·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·κ·C_e³·σ⁻³·E_m·R⁻¹ | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "-1", "capacitance": "-3", "conductivity": "3", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,gas_constant,length,mass,molar_energy,resistivity,thermal_cond | m·ℓ·κ·C_e·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·κ⁻¹·C_e⁻³·ρ_e⁻³·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·κ·C_e³·ρ_e³·E_m·R⁻¹ | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "thermal_cond": "-1", "capacitance": "-3", "resistivity": "-3", "molar_energy": "-1", "gas_constant": "1"} |
7 | amount,capacitance,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·C_e·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·C_e·n⁻²·R⁻²·e⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·C_e⁻¹·n²·R²·e² | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "capacitance": "1", "amount": "-2", "gas_constant": "-2", "elem_charge": "-2"} |
7 | capacitance,elem_charge,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·κ·C_e·M_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻⁴·κ⁻²·C_e⁻¹·M_m⁻²·R²·e² | m = k₀ · ℓ⁴·κ²·C_e·M_m²·R⁻²·e⁻² | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "-4", "thermal_cond": "-2", "capacitance": "-1", "molar_mass": "-2", "gas_constant": "2", "elem_charge": "2"} |
7 | capacitance,concentration,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·C_e·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·κ²·C_e·c_n⁻²·R⁻²·e⁻² | m = k₀ · ℓ²·κ⁻²·C_e⁻¹·c_n²·R²·e² | null | 1 | 5 | 2 | 12 | 11.4 | -3.4 | false | {"mass": "1", "length": "-2", "thermal_cond": "2", "capacitance": "1", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-2"} |
7 | capacitance,elem_charge,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·κ·C_e·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·C_e³·E_m²·R⁻²·e⁻⁶ | m = k₀ · ℓ⁻⁴·κ⁻²·C_e⁻³·E_m⁻²·R²·e⁶ | null | 1 | 5 | 6 | 20 | 19 | -11 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "capacitance": "3", "molar_energy": "2", "gas_constant": "-2", "elem_charge": "-6"} |
7 | avogadro,capacitance,elem_charge,gas_constant,length,mass,thermal_cond | m·ℓ·κ·C_e·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·κ²·C_e·R⁻²·e⁻²·N_A² | m = k₀ · ℓ⁻⁴·κ⁻²·C_e⁻¹·R²·e²·N_A⁻² | null | 2 | 5 | 4 | 14 | 14.8 | -8.3 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "capacitance": "1", "gas_constant": "-2", "elem_charge": "-2", "avogadro": "2"} |
6 | boltzmann,capacitance,elem_charge,length,mass,thermal_cond | m·ℓ·κ·C_e·k_B·e | constants,em,mechanics,thermo | m·ℓ⁴·κ²·C_e·k_B⁻²·e⁻² | m = k₀ · ℓ⁻⁴·κ⁻²·C_e⁻¹·k_B²·e² | null | 2 | 4 | 4 | 12 | 12.5 | -5.5 | false | {"mass": "1", "length": "4", "thermal_cond": "2", "capacitance": "1", "boltzmann": "-2", "elem_charge": "-2"} |
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