size int64 2 8 | keys stringlengths 10 106 | symbols stringlengths 3 29 | domains stringclasses 62
values | pi stringlengths 3 46 | equation stringlengths 10 59 | name stringclasses 19
values | n_const int64 0 4 | n_domains int64 1 6 | max_exp int64 1 34 | exp_l1 int64 2 134 | complexity float64 0 113 | score float64 -104.8 10 | plausible bool 2
classes | exponents stringlengths 27 177 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7 | concentration,current,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·i·U·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·Θ⁻³·i²·U²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁷·Θ³·i⁻²·U⁻²·c_n³·R³ | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "1", "length": "-7", "temperature": "-3", "current": "2", "voltage": "2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·i·U·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻³·i²·U²·R⁻³·N_A³ | m = k₀ · ℓ⁻²·Θ³·i⁻²·U⁻²·R³·N_A⁻³ | null | 1 | 5 | 3 | 16 | 14.7 | -6.7 | false | {"mass": "1", "length": "2", "temperature": "-3", "current": "2", "voltage": "2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,length,mass,temperature,voltage | m·ℓ·Θ·i·U·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻³·i²·U²·k_B⁻³ | m = k₀ · ℓ⁻²·Θ³·i⁻²·U⁻²·k_B³ | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "1", "length": "2", "temperature": "-3", "current": "2", "voltage": "2", "boltzmann": "-3"} |
7 | amount,current,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·i·R·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻³·i⁴·R²·n⁻³·R⁻³ | m = k₀ · ℓ⁻²·Θ³·i⁻⁴·R⁻²·n³·R³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "temperature": "-3", "current": "4", "resistance": "2", "amount": "-3", "gas_constant": "-3"} |
7 | current,gas_constant,length,mass,molar_mass,resistance,temperature | m·ℓ·Θ·i·R·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻²·Θ³·i⁻⁴·R⁻²·M_m⁻³·R³ | m = k₀ · ℓ·Θ⁻³ᐟ²·i²·R·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "2", "length": "-2", "temperature": "3", "current": "-4", "resistance": "-2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,current,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·i·R·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·Θ⁻³·i⁴·R²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁷·Θ³·i⁻⁴·R⁻²·c_n³·R³ | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "-7", "temperature": "-3", "current": "4", "resistance": "2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·i·R·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻³·i⁴·R²·R⁻³·N_A³ | m = k₀ · ℓ⁻²·Θ³·i⁻⁴·R⁻²·R³·N_A⁻³ | null | 1 | 5 | 4 | 18 | 16.6 | -8.6 | false | {"mass": "1", "length": "2", "temperature": "-3", "current": "4", "resistance": "2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,length,mass,resistance,temperature | m·ℓ·Θ·i·R·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻³·i⁴·R²·k_B⁻³ | m = k₀ · ℓ⁻²·Θ³·i⁻⁴·R⁻²·k_B³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "length": "2", "temperature": "-3", "current": "4", "resistance": "2", "boltzmann": "-3"} |
7 | amount,capacitance,current,gas_constant,length,mass,temperature | m·ℓ·Θ·i·C_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻²·i²·C_e⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻²·Θ²·i⁻²·C_e·n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "temperature": "-2", "current": "2", "capacitance": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | capacitance,current,gas_constant,length,mass,molar_mass,temperature | m·ℓ·Θ·i·C_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·Θ²·i⁻²·C_e·M_m⁻²·R² | m = k₀ · ℓ²·Θ⁻²·i²·C_e⁻¹·M_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "temperature": "2", "current": "-2", "capacitance": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | capacitance,concentration,current,gas_constant,length,mass,temperature | m·ℓ·Θ·i·C_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·Θ⁻²·i²·C_e⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ⁴·Θ²·i⁻²·C_e·c_n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "temperature": "-2", "current": "2", "capacitance": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,cat_activity,current,gas_constant,length,mass,temperature | m·ℓ·Θ·i·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻⁴·i⁶·C_e⁻³·R⁻⁴·z⁻⁴ | m = k₀ · ℓ⁻²·Θ⁴·i⁻⁶·C_e³·R⁴·z⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "1", "length": "2", "temperature": "-4", "current": "6", "capacitance": "-3", "gas_constant": "-4", "cat_activity": "-4"} |
7 | avogadro,capacitance,current,gas_constant,length,mass,temperature | m·ℓ·Θ·i·C_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻²·i²·C_e⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻²·Θ²·i⁻²·C_e·R²·N_A⁻² | null | 1 | 5 | 2 | 12 | 11.4 | -3.4 | false | {"mass": "1", "length": "2", "temperature": "-2", "current": "2", "capacitance": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,capacitance,current,length,mass,temperature | m·ℓ·Θ·i·C_e·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻²·i²·C_e⁻¹·k_B⁻² | m = k₀ · ℓ⁻²·Θ²·i⁻²·C_e·k_B² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "1", "length": "2", "temperature": "-2", "current": "2", "capacitance": "-1", "boltzmann": "-2"} |
7 | cat_activity,current,gas_constant,inductance,length,mass,temperature | m·ℓ·Θ·i·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ²·i⁻⁶·L_e⁻³·R²·z² | m = k₀ · ℓ⁻²·Θ⁻²·i⁶·L_e³·R⁻²·z⁻² | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "1", "length": "2", "temperature": "2", "current": "-6", "inductance": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | amount,current,efield,gas_constant,length,mass,temperature | m·ℓ·Θ·i·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·i²·E_f²·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·Θ³·i⁻²·E_f⁻²·n³·R³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "4", "temperature": "-3", "current": "2", "efield": "2", "amount": "-3", "gas_constant": "-3"} |
7 | current,efield,gas_constant,length,mass,molar_mass,temperature | m·ℓ·Θ·i·E_f·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·Θ³·i⁻²·E_f⁻²·M_m⁻³·R³ | m = k₀ · ℓ²·Θ⁻³ᐟ²·i·E_f·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "2", "length": "-4", "temperature": "3", "current": "-2", "efield": "-2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,current,efield,gas_constant,length,mass,temperature | m·ℓ·Θ·i·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻³·i²·E_f²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·Θ³·i⁻²·E_f⁻²·c_n³·R³ | null | 0 | 4 | 5 | 19 | 17.2 | -8.7 | false | {"mass": "1", "length": "-5", "temperature": "-3", "current": "2", "efield": "2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,current,efield,gas_constant,length,mass,temperature | m·ℓ·Θ·i·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·i²·E_f²·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·Θ³·i⁻²·E_f⁻²·R³·N_A⁻³ | null | 1 | 5 | 4 | 18 | 16.6 | -8.6 | false | {"mass": "1", "length": "4", "temperature": "-3", "current": "2", "efield": "2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,current,efield,length,mass,temperature | m·ℓ·Θ·i·E_f·k_B | constants,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·i²·E_f²·k_B⁻³ | m = k₀ · ℓ⁻⁴·Θ³·i⁻²·E_f⁻²·k_B³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "length": "4", "temperature": "-3", "current": "2", "efield": "2", "boltzmann": "-3"} |
7 | bfield,current,gas_constant,length,mass,molar_mass,temperature | m·ℓ·Θ·i·B·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·Θ·i⁻¹·B⁻¹·M_m⁻¹·R | m = k₀ · ℓ²·Θ⁻¹·i·B·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-2", "temperature": "1", "current": "-1", "bfield": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,cat_activity,current,gas_constant,length,mass,temperature | m·ℓ·Θ·i·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·Θ²·i⁻³·B⁻³·R²·z² | m = k₀ · ℓ⁴·Θ⁻²·i³·B³·R⁻²·z⁻² | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "-4", "temperature": "2", "current": "-3", "bfield": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,current,gas_constant,length,mag_flux,mass,temperature | m·ℓ·Θ·i·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ²·i⁻³·Φ⁻³·R²·z² | m = k₀ · ℓ⁻²·Θ⁻²·i³·Φ³·R⁻²·z⁻² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "temperature": "2", "current": "-3", "mag_flux": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | amount,current,gas_constant,length,mass,permittivity,temperature | m·ℓ·Θ·i·ε·n·R | chemistry,em,mechanics,thermo | m·ℓ·Θ⁻²·i²·ε⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻¹·Θ²·i⁻²·ε·n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "temperature": "-2", "current": "2", "permittivity": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | current,gas_constant,length,mass,molar_mass,permittivity,temperature | m·ℓ·Θ·i·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ²·i⁻²·ε·M_m⁻²·R² | m = k₀ · ℓ·Θ⁻²·i²·ε⁻¹·M_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "temperature": "2", "current": "-2", "permittivity": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,current,gas_constant,length,mass,permittivity,temperature | m·ℓ·Θ·i·ε·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻²·i²·ε⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ⁵·Θ²·i⁻²·ε·c_n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "temperature": "-2", "current": "2", "permittivity": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,current,gas_constant,length,mass,permittivity,temperature | m·ℓ·Θ·i·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ⁻⁴·i⁶·ε⁻³·R⁻⁴·z⁻⁴ | m = k₀ · ℓ·Θ⁴·i⁻⁶·ε³·R⁴·z⁴ | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "1", "length": "-1", "temperature": "-4", "current": "6", "permittivity": "-3", "gas_constant": "-4", "cat_activity": "-4"} |
7 | avogadro,current,gas_constant,length,mass,permittivity,temperature | m·ℓ·Θ·i·ε·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ·Θ⁻²·i²·ε⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻¹·Θ²·i⁻²·ε·R²·N_A⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "1", "temperature": "-2", "current": "2", "permittivity": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,current,length,mass,permittivity,temperature | m·ℓ·Θ·i·ε·k_B | constants,em,mechanics,thermo | m·ℓ·Θ⁻²·i²·ε⁻¹·k_B⁻² | m = k₀ · ℓ⁻¹·Θ²·i⁻²·ε·k_B² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "1", "temperature": "-2", "current": "2", "permittivity": "-1", "boltzmann": "-2"} |
7 | current,gas_constant,length,mass,molar_mass,permeability,temperature | m·ℓ·Θ·i·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ·i⁻²·μ₀⁻¹·M_m⁻¹·R | m = k₀ · ℓ·Θ⁻¹·i²·μ₀·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-1", "temperature": "1", "current": "-2", "permeability": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | cat_activity,current,gas_constant,length,mass,permeability,temperature | m·ℓ·Θ·i·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ²·i⁻⁶·μ₀⁻³·R²·z² | m = k₀ · ℓ·Θ⁻²·i⁶·μ₀³·R⁻²·z⁻² | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "1", "length": "-1", "temperature": "2", "current": "-6", "permeability": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | concentration,conductivity,current,gas_constant,length,mass,temperature | m·ℓ·Θ·i·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁹·Θ⁻³·i⁴·σ⁻²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁹·Θ³·i⁻⁴·σ²·c_n³·R³ | null | 0 | 4 | 9 | 25 | 23.4 | -14.9 | false | {"mass": "1", "length": "-9", "temperature": "-3", "current": "4", "conductivity": "-2", "concentration": "-3", "gas_constant": "-3"} |
7 | concentration,current,gas_constant,length,mass,resistivity,temperature | m·ℓ·Θ·i·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁹·Θ⁻³·i⁴·ρ_e²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁹·Θ³·i⁻⁴·ρ_e⁻²·c_n³·R³ | null | 0 | 4 | 9 | 25 | 23.4 | -14.9 | false | {"mass": "1", "length": "-9", "temperature": "-3", "current": "4", "resistivity": "2", "concentration": "-3", "gas_constant": "-3"} |
7 | amount,current,elem_charge,gas_constant,length,mass,temperature | m·ℓ·Θ·i·n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·i²·n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ⁻²·Θ·i⁻²·n·R·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "temperature": "-1", "current": "2", "amount": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | concentration,current,elem_charge,gas_constant,length,mass,temperature | m·ℓ·Θ·i·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻¹·Θ⁻¹·i²·c_n⁻¹·R⁻¹·e⁻² | m = k₀ · ℓ·Θ·i⁻²·c_n·R·e² | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "-1", "temperature": "-1", "current": "2", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,current,elem_charge,gas_constant,length,mass,temperature | m·ℓ·Θ·i·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·i³·R⁻¹·z⁻¹·e⁻³ | m = k₀ · ℓ⁻²·Θ·i⁻³·R·z·e³ | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "1", "length": "2", "temperature": "-1", "current": "3", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-3"} |
7 | avogadro,current,elem_charge,gas_constant,length,mass,temperature | m·ℓ·Θ·i·R·e·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·i²·R⁻¹·e⁻²·N_A | m = k₀ · ℓ⁻²·Θ·i⁻²·R·e²·N_A⁻¹ | null | 2 | 5 | 2 | 10 | 11 | -4.5 | false | {"mass": "1", "length": "2", "temperature": "-1", "current": "2", "gas_constant": "-1", "elem_charge": "-2", "avogadro": "1"} |
6 | boltzmann,current,elem_charge,length,mass,temperature | m·ℓ·Θ·i·k_B·e | constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·i²·k_B⁻¹·e⁻² | m = k₀ · ℓ⁻²·Θ·i⁻²·k_B·e² | null | 2 | 4 | 2 | 9 | 9.4 | -2.4 | false | {"mass": "1", "length": "2", "temperature": "-1", "current": "2", "boltzmann": "-1", "elem_charge": "-2"} |
7 | amount,gas_constant,length,mass,resistance,temperature,voltage | m·ℓ·Θ·U·R·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻³·U⁴·R⁻²·n⁻³·R⁻³ | m = k₀ · ℓ⁻²·Θ³·U⁻⁴·R²·n³·R³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "temperature": "-3", "voltage": "4", "resistance": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | gas_constant,length,mass,molar_mass,resistance,temperature,voltage | m·ℓ·Θ·U·R·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻²·Θ³·U⁻⁴·R²·M_m⁻³·R³ | m = k₀ · ℓ·Θ⁻³ᐟ²·U²·R⁻¹·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "2", "length": "-2", "temperature": "3", "voltage": "-4", "resistance": "2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,gas_constant,length,mass,resistance,temperature,voltage | m·ℓ·Θ·U·R·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁷·Θ⁻³·U⁴·R⁻²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁷·Θ³·U⁻⁴·R²·c_n³·R³ | null | 0 | 4 | 7 | 23 | 21 | -12.5 | false | {"mass": "1", "length": "-7", "temperature": "-3", "voltage": "4", "resistance": "-2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,gas_constant,length,mass,resistance,temperature,voltage | m·ℓ·Θ·U·R·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻³·U⁴·R⁻²·R⁻³·N_A³ | m = k₀ · ℓ⁻²·Θ³·U⁻⁴·R²·R³·N_A⁻³ | null | 1 | 5 | 4 | 18 | 16.6 | -8.6 | false | {"mass": "1", "length": "2", "temperature": "-3", "voltage": "4", "resistance": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,length,mass,resistance,temperature,voltage | m·ℓ·Θ·U·R·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻³·U⁴·R⁻²·k_B⁻³ | m = k₀ · ℓ⁻²·Θ³·U⁻⁴·R²·k_B³ | null | 1 | 4 | 4 | 15 | 13.6 | -5.1 | false | {"mass": "1", "length": "2", "temperature": "-3", "voltage": "4", "resistance": "-2", "boltzmann": "-3"} |
7 | capacitance,cat_activity,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ²·U⁻⁶·C_e⁻³·R²·z² | m = k₀ · ℓ⁻²·Θ⁻²·U⁶·C_e³·R⁻²·z⁻² | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "1", "length": "2", "temperature": "2", "voltage": "-6", "capacitance": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | amount,gas_constant,inductance,length,mass,temperature,voltage | m·ℓ·Θ·U·L_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻²·U²·L_e⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻²·Θ²·U⁻²·L_e·n²·R² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "temperature": "-2", "voltage": "2", "inductance": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | gas_constant,inductance,length,mass,molar_mass,temperature,voltage | m·ℓ·Θ·U·L_e·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·Θ²·U⁻²·L_e·M_m⁻²·R² | m = k₀ · ℓ²·Θ⁻²·U²·L_e⁻¹·M_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "temperature": "2", "voltage": "-2", "inductance": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,gas_constant,inductance,length,mass,temperature,voltage | m·ℓ·Θ·U·L_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·Θ⁻²·U²·L_e⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ⁴·Θ²·U⁻²·L_e·c_n²·R² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "temperature": "-2", "voltage": "2", "inductance": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,gas_constant,inductance,length,mass,temperature,voltage | m·ℓ·Θ·U·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻⁴·U⁶·L_e⁻³·R⁻⁴·z⁻⁴ | m = k₀ · ℓ⁻²·Θ⁴·U⁻⁶·L_e³·R⁴·z⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "1", "length": "2", "temperature": "-4", "voltage": "6", "inductance": "-3", "gas_constant": "-4", "cat_activity": "-4"} |
7 | avogadro,gas_constant,inductance,length,mass,temperature,voltage | m·ℓ·Θ·U·L_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻²·U²·L_e⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻²·Θ²·U⁻²·L_e·R²·N_A⁻² | null | 1 | 5 | 2 | 12 | 11.4 | -3.4 | false | {"mass": "1", "length": "2", "temperature": "-2", "voltage": "2", "inductance": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,inductance,length,mass,temperature,voltage | m·ℓ·Θ·U·L_e·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻²·U²·L_e⁻¹·k_B⁻² | m = k₀ · ℓ⁻²·Θ²·U⁻²·L_e·k_B² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "1", "length": "2", "temperature": "-2", "voltage": "2", "inductance": "-1", "boltzmann": "-2"} |
7 | amount,bfield,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·B·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·U²·B⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ²·Θ·U⁻²·B²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "temperature": "-1", "voltage": "2", "bfield": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | bfield,concentration,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻¹·U²·B⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ⁵·Θ·U⁻²·B²·c_n·R | null | 0 | 4 | 5 | 13 | 13 | -4.5 | false | {"mass": "1", "length": "-5", "temperature": "-1", "voltage": "2", "bfield": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,cat_activity,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻⁴·Θ⁻¹·U³·B⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁴·Θ·U⁻³·B³·R·z | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "-4", "temperature": "-1", "voltage": "3", "bfield": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,bfield,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·B·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·U²·B⁻²·R⁻¹·N_A | m = k₀ · ℓ²·Θ·U⁻²·B²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "voltage": "2", "bfield": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | bfield,boltzmann,length,mass,temperature,voltage | m·ℓ·Θ·U·B·k_B | constants,em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·U²·B⁻²·k_B⁻¹ | m = k₀ · ℓ²·Θ·U⁻²·B²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "temperature": "-1", "voltage": "2", "bfield": "-2", "boltzmann": "-1"} |
7 | amount,gas_constant,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·U·Φ·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻¹·U²·Φ⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·Θ·U⁻²·Φ²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "temperature": "-1", "voltage": "2", "mag_flux": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,gas_constant,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·U·Φ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ⁻¹·U²·Φ⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·Θ·U⁻²·Φ²·c_n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-1", "temperature": "-1", "voltage": "2", "mag_flux": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,gas_constant,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·U·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻¹·U³·Φ⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·Θ·U⁻³·Φ³·R·z | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "2", "temperature": "-1", "voltage": "3", "mag_flux": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,gas_constant,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·U·Φ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·U²·Φ⁻²·R⁻¹·N_A | m = k₀ · ℓ⁻²·Θ·U⁻²·Φ²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "temperature": "-1", "voltage": "2", "mag_flux": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·U·Φ·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·U²·Φ⁻²·k_B⁻¹ | m = k₀ · ℓ⁻²·Θ·U⁻²·Φ²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "voltage": "2", "mag_flux": "-2", "boltzmann": "-1"} |
7 | gas_constant,length,mass,molar_mass,permittivity,temperature,voltage | m·ℓ·Θ·U·ε·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ·U⁻²·ε⁻¹·M_m⁻¹·R | m = k₀ · ℓ·Θ⁻¹·U²·ε·M_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "-1", "temperature": "1", "voltage": "-2", "permittivity": "-1", "molar_mass": "-1", "gas_constant": "1"} |
7 | cat_activity,gas_constant,length,mass,permittivity,temperature,voltage | m·ℓ·Θ·U·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ²·U⁻⁶·ε⁻³·R²·z² | m = k₀ · ℓ·Θ⁻²·U⁶·ε³·R⁻²·z⁻² | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "1", "length": "-1", "temperature": "2", "voltage": "-6", "permittivity": "-3", "gas_constant": "2", "cat_activity": "2"} |
7 | amount,gas_constant,length,mass,permeability,temperature,voltage | m·ℓ·Θ·U·μ₀·n·R | chemistry,em,mechanics,thermo | m·ℓ·Θ⁻²·U²·μ₀⁻¹·n⁻²·R⁻² | m = k₀ · ℓ⁻¹·Θ²·U⁻²·μ₀·n²·R² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "temperature": "-2", "voltage": "2", "permeability": "-1", "amount": "-2", "gas_constant": "-2"} |
7 | gas_constant,length,mass,molar_mass,permeability,temperature,voltage | m·ℓ·Θ·U·μ₀·M_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ²·U⁻²·μ₀·M_m⁻²·R² | m = k₀ · ℓ·Θ⁻²·U²·μ₀⁻¹·M_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "temperature": "2", "voltage": "-2", "permeability": "1", "molar_mass": "-2", "gas_constant": "2"} |
7 | concentration,gas_constant,length,mass,permeability,temperature,voltage | m·ℓ·Θ·U·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻²·U²·μ₀⁻¹·c_n⁻²·R⁻² | m = k₀ · ℓ⁵·Θ²·U⁻²·μ₀·c_n²·R² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "length": "-5", "temperature": "-2", "voltage": "2", "permeability": "-1", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,gas_constant,length,mass,permeability,temperature,voltage | m·ℓ·Θ·U·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ⁻⁴·U⁶·μ₀⁻³·R⁻⁴·z⁻⁴ | m = k₀ · ℓ·Θ⁴·U⁻⁶·μ₀³·R⁴·z⁴ | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "1", "length": "-1", "temperature": "-4", "voltage": "6", "permeability": "-3", "gas_constant": "-4", "cat_activity": "-4"} |
7 | avogadro,gas_constant,length,mass,permeability,temperature,voltage | m·ℓ·Θ·U·μ₀·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ·Θ⁻²·U²·μ₀⁻¹·R⁻²·N_A² | m = k₀ · ℓ⁻¹·Θ²·U⁻²·μ₀·R²·N_A⁻² | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "1", "temperature": "-2", "voltage": "2", "permeability": "-1", "gas_constant": "-2", "avogadro": "2"} |
6 | boltzmann,length,mass,permeability,temperature,voltage | m·ℓ·Θ·U·μ₀·k_B | constants,em,mechanics,thermo | m·ℓ·Θ⁻²·U²·μ₀⁻¹·k_B⁻² | m = k₀ · ℓ⁻¹·Θ²·U⁻²·μ₀·k_B² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "1", "temperature": "-2", "voltage": "2", "permeability": "-1", "boltzmann": "-2"} |
7 | amount,conductivity,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·σ·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·U⁴·σ²·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·Θ³·U⁻⁴·σ⁻²·n³·R³ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "temperature": "-3", "voltage": "4", "conductivity": "2", "amount": "-3", "gas_constant": "-3"} |
7 | conductivity,gas_constant,length,mass,molar_mass,temperature,voltage | m·ℓ·Θ·U·σ·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·Θ³·U⁻⁴·σ⁻²·M_m⁻³·R³ | m = k₀ · ℓ²·Θ⁻³ᐟ²·U²·σ·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 4 | 21 | 18.1 | -9.6 | false | {"mass": "2", "length": "-4", "temperature": "3", "voltage": "-4", "conductivity": "-2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,conductivity,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·σ·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻³·U⁴·σ²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·Θ³·U⁻⁴·σ⁻²·c_n³·R³ | null | 0 | 4 | 5 | 21 | 18.6 | -10.1 | false | {"mass": "1", "length": "-5", "temperature": "-3", "voltage": "4", "conductivity": "2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,conductivity,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·σ·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·U⁴·σ²·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·Θ³·U⁻⁴·σ⁻²·R³·N_A⁻³ | null | 1 | 5 | 4 | 20 | 18 | -10 | false | {"mass": "1", "length": "4", "temperature": "-3", "voltage": "4", "conductivity": "2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,conductivity,length,mass,temperature,voltage | m·ℓ·Θ·U·σ·k_B | constants,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·U⁴·σ²·k_B⁻³ | m = k₀ · ℓ⁻⁴·Θ³·U⁻⁴·σ⁻²·k_B³ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "1", "length": "4", "temperature": "-3", "voltage": "4", "conductivity": "2", "boltzmann": "-3"} |
7 | amount,gas_constant,length,mass,resistivity,temperature,voltage | m·ℓ·Θ·U·ρ_e·n·R | chemistry,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·U⁴·ρ_e⁻²·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁴·Θ³·U⁻⁴·ρ_e²·n³·R³ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "temperature": "-3", "voltage": "4", "resistivity": "-2", "amount": "-3", "gas_constant": "-3"} |
7 | gas_constant,length,mass,molar_mass,resistivity,temperature,voltage | m·ℓ·Θ·U·ρ_e·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁴·Θ³·U⁻⁴·ρ_e²·M_m⁻³·R³ | m = k₀ · ℓ²·Θ⁻³ᐟ²·U²·ρ_e⁻¹·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 4 | 21 | 18.1 | -9.6 | false | {"mass": "2", "length": "-4", "temperature": "3", "voltage": "-4", "resistivity": "2", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,gas_constant,length,mass,resistivity,temperature,voltage | m·ℓ·Θ·U·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁵·Θ⁻³·U⁴·ρ_e⁻²·c_n⁻³·R⁻³ | m = k₀ · ℓ⁵·Θ³·U⁻⁴·ρ_e²·c_n³·R³ | null | 0 | 4 | 5 | 21 | 18.6 | -10.1 | false | {"mass": "1", "length": "-5", "temperature": "-3", "voltage": "4", "resistivity": "-2", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,gas_constant,length,mass,resistivity,temperature,voltage | m·ℓ·Θ·U·ρ_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·U⁴·ρ_e⁻²·R⁻³·N_A³ | m = k₀ · ℓ⁻⁴·Θ³·U⁻⁴·ρ_e²·R³·N_A⁻³ | null | 1 | 5 | 4 | 20 | 18 | -10 | false | {"mass": "1", "length": "4", "temperature": "-3", "voltage": "4", "resistivity": "-2", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,length,mass,resistivity,temperature,voltage | m·ℓ·Θ·U·ρ_e·k_B | constants,em,mechanics,thermo | m·ℓ⁴·Θ⁻³·U⁴·ρ_e⁻²·k_B⁻³ | m = k₀ · ℓ⁻⁴·Θ³·U⁻⁴·ρ_e²·k_B³ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "1", "length": "4", "temperature": "-3", "voltage": "4", "resistivity": "-2", "boltzmann": "-3"} |
7 | cat_activity,elem_charge,gas_constant,length,mass,temperature,voltage | m·ℓ·Θ·U·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ²·U⁻³·R²·z²·e⁻³ | m = k₀ · ℓ⁻²·Θ⁻²·U³·R⁻²·z⁻²·e³ | null | 1 | 5 | 3 | 15 | 14 | -6 | false | {"mass": "1", "length": "2", "temperature": "2", "voltage": "-3", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-3"} |
7 | amount,capacitance,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·C_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R⁻²·C_e⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·Θ·R²·C_e²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "-2", "capacitance": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | capacitance,concentration,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·C_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ⁻¹·R⁻²·C_e⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·Θ·R²·C_e²·c_n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-1", "temperature": "-1", "resistance": "-2", "capacitance": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | capacitance,cat_activity,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R⁻³·C_e⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·Θ·R³·C_e³·R·z | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "-3", "capacitance": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,capacitance,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·C_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R⁻²·C_e⁻²·R⁻¹·N_A | m = k₀ · ℓ⁻²·Θ·R²·C_e²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "-2", "capacitance": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,capacitance,length,mass,resistance,temperature | m·ℓ·Θ·R·C_e·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R⁻²·C_e⁻²·k_B⁻¹ | m = k₀ · ℓ⁻²·Θ·R²·C_e²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "-2", "capacitance": "-2", "boltzmann": "-1"} |
7 | amount,gas_constant,inductance,length,mass,resistance,temperature | m·ℓ·Θ·R·L_e·n·R | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R²·L_e⁻²·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·Θ·R⁻²·L_e²·n·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "2", "inductance": "-2", "amount": "-1", "gas_constant": "-1"} |
7 | concentration,gas_constant,inductance,length,mass,resistance,temperature | m·ℓ·Θ·R·L_e·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻¹·Θ⁻¹·R²·L_e⁻²·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·Θ·R⁻²·L_e²·c_n·R | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-1", "temperature": "-1", "resistance": "2", "inductance": "-2", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,gas_constant,inductance,length,mass,resistance,temperature | m·ℓ·Θ·R·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R³·L_e⁻³·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·Θ·R⁻³·L_e³·R·z | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "3", "inductance": "-3", "gas_constant": "-1", "cat_activity": "-1"} |
7 | avogadro,gas_constant,inductance,length,mass,resistance,temperature | m·ℓ·Θ·R·L_e·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R²·L_e⁻²·R⁻¹·N_A | m = k₀ · ℓ⁻²·Θ·R⁻²·L_e²·R·N_A⁻¹ | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "2", "inductance": "-2", "gas_constant": "-1", "avogadro": "1"} |
6 | boltzmann,inductance,length,mass,resistance,temperature | m·ℓ·Θ·R·L_e·k_B | constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·R²·L_e⁻²·k_B⁻¹ | m = k₀ · ℓ⁻²·Θ·R⁻²·L_e²·k_B | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "resistance": "2", "inductance": "-2", "boltzmann": "-1"} |
7 | amount,efield,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·E_f·n·R | chemistry,em,mechanics,thermo | m·ℓ⁶·Θ⁻³·R⁻²·E_f⁴·n⁻³·R⁻³ | m = k₀ · ℓ⁻⁶·Θ³·R²·E_f⁻⁴·n³·R³ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "6", "temperature": "-3", "resistance": "-2", "efield": "4", "amount": "-3", "gas_constant": "-3"} |
7 | efield,gas_constant,length,mass,molar_mass,resistance,temperature | m·ℓ·Θ·R·E_f·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁶·Θ³·R²·E_f⁻⁴·M_m⁻³·R³ | m = k₀ · ℓ³·Θ⁻³ᐟ²·R⁻¹·E_f²·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "2", "length": "-6", "temperature": "3", "resistance": "2", "efield": "-4", "molar_mass": "-3", "gas_constant": "3"} |
7 | concentration,efield,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·E_f·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·Θ⁻³·R⁻²·E_f⁴·c_n⁻³·R⁻³ | m = k₀ · ℓ³·Θ³·R²·E_f⁻⁴·c_n³·R³ | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "length": "-3", "temperature": "-3", "resistance": "-2", "efield": "4", "concentration": "-3", "gas_constant": "-3"} |
7 | avogadro,efield,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·E_f·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁶·Θ⁻³·R⁻²·E_f⁴·R⁻³·N_A³ | m = k₀ · ℓ⁻⁶·Θ³·R²·E_f⁻⁴·R³·N_A⁻³ | null | 1 | 5 | 6 | 22 | 20.4 | -12.4 | false | {"mass": "1", "length": "6", "temperature": "-3", "resistance": "-2", "efield": "4", "gas_constant": "-3", "avogadro": "3"} |
6 | boltzmann,efield,length,mass,resistance,temperature | m·ℓ·Θ·R·E_f·k_B | constants,em,mechanics,thermo | m·ℓ⁶·Θ⁻³·R⁻²·E_f⁴·k_B⁻³ | m = k₀ · ℓ⁻⁶·Θ³·R²·E_f⁻⁴·k_B³ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "1", "length": "6", "temperature": "-3", "resistance": "-2", "efield": "4", "boltzmann": "-3"} |
7 | amount,bfield,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·B·n·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·Θ·R²·B⁻⁴·n·R | m = k₀ · ℓ⁶·Θ⁻¹·R⁻²·B⁴·n⁻¹·R⁻¹ | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "length": "-6", "temperature": "1", "resistance": "2", "bfield": "-4", "amount": "1", "gas_constant": "1"} |
7 | bfield,gas_constant,length,mass,molar_mass,resistance,temperature | m·ℓ·Θ·R·B·M_m·R | chemistry,em,mechanics,thermo | m²·ℓ⁻⁶·Θ·R²·B⁻⁴·M_m⁻¹·R | Θ = k₀ · m⁻²·ℓ⁶·R⁻²·B⁴·M_m·R⁻¹ | null | 0 | 4 | 6 | 17 | 16.3 | -7.8 | false | {"mass": "2", "length": "-6", "temperature": "1", "resistance": "2", "bfield": "-4", "molar_mass": "-1", "gas_constant": "1"} |
7 | bfield,concentration,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·B·c_n·R | chemistry,em,mechanics,thermo | m·ℓ⁻³·Θ·R²·B⁻⁴·c_n·R | m = k₀ · ℓ³·Θ⁻¹·R⁻²·B⁴·c_n⁻¹·R⁻¹ | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "length": "-3", "temperature": "1", "resistance": "2", "bfield": "-4", "concentration": "1", "gas_constant": "1"} |
7 | bfield,cat_activity,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·B·R·z | chemistry,em,mechanics,thermo | m²·ℓ⁻⁸·Θ·R³·B⁻⁶·R·z | Θ = k₀ · m⁻²·ℓ⁸·R⁻³·B⁶·R⁻¹·z⁻¹ | null | 0 | 4 | 8 | 22 | 20.8 | -12.3 | false | {"mass": "2", "length": "-8", "temperature": "1", "resistance": "3", "bfield": "-6", "gas_constant": "1", "cat_activity": "1"} |
7 | avogadro,bfield,gas_constant,length,mass,resistance,temperature | m·ℓ·Θ·R·B·R·N_A | chemistry,constants,em,mechanics,thermo | m·ℓ⁻⁶·Θ·R²·B⁻⁴·R·N_A⁻¹ | m = k₀ · ℓ⁶·Θ⁻¹·R⁻²·B⁴·R⁻¹·N_A | null | 1 | 5 | 6 | 16 | 16.2 | -8.2 | false | {"mass": "1", "length": "-6", "temperature": "1", "resistance": "2", "bfield": "-4", "gas_constant": "1", "avogadro": "-1"} |
6 | bfield,boltzmann,length,mass,resistance,temperature | m·ℓ·Θ·R·B·k_B | constants,em,mechanics,thermo | m·ℓ⁻⁶·Θ·R²·B⁻⁴·k_B | m = k₀ · ℓ⁶·Θ⁻¹·R⁻²·B⁴·k_B⁻¹ | null | 1 | 4 | 6 | 15 | 14.6 | -6.1 | false | {"mass": "1", "length": "-6", "temperature": "1", "resistance": "2", "bfield": "-4", "boltzmann": "1"} |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.