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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5 | efield,length,mass,omega,permeability | m·ℓ·ω·E_f·μ₀ | em,mechanics | m·ℓ·ω⁴·E_f⁻²·μ₀ | m = k₀ · ℓ⁻¹·ω⁻⁴·E_f²·μ₀⁻¹ | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "length": "1", "omega": "4", "efield": "-2", "permeability": "1"} |
5 | conductivity,efield,length,mass,omega | m·ℓ·ω·E_f·σ | em,mechanics | m·ℓ⁻¹·ω³·E_f⁻²·σ⁻¹ | m = k₀ · ℓ·ω⁻³·E_f²·σ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-1", "omega": "3", "efield": "-2", "conductivity": "-1"} |
5 | efield,length,mass,omega,resistivity | m·ℓ·ω·E_f·ρ_e | em,mechanics | m·ℓ⁻¹·ω³·E_f⁻²·ρ_e | m = k₀ · ℓ·ω⁻³·E_f²·ρ_e⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-1", "omega": "3", "efield": "-2", "resistivity": "1"} |
5 | efield,elem_charge,length,mass,omega | m·ℓ·ω·E_f·e | constants,em,mechanics | m·ℓ·ω²·E_f⁻¹·e⁻¹ | m = k₀ · ℓ⁻¹·ω⁻²·E_f·e | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "1", "omega": "2", "efield": "-1", "elem_charge": "-1"} |
5 | bfield,length,mass,omega,permeability | m·ℓ·ω·B·μ₀ | em,mechanics | m·ℓ⁻¹·ω²·B⁻²·μ₀ | m = k₀ · ℓ·ω⁻²·B²·μ₀⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "omega": "2", "bfield": "-2", "permeability": "1"} |
5 | bfield,conductivity,length,mass,omega | m·ℓ·ω·B·σ | em,mechanics | m·ℓ⁻³·ω·B⁻²·σ⁻¹ | m = k₀ · ℓ³·ω⁻¹·B²·σ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-3", "omega": "1", "bfield": "-2", "conductivity": "-1"} |
5 | bfield,length,mass,omega,resistivity | m·ℓ·ω·B·ρ_e | em,mechanics | m·ℓ⁻³·ω·B⁻²·ρ_e | m = k₀ · ℓ³·ω⁻¹·B²·ρ_e⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-3", "omega": "1", "bfield": "-2", "resistivity": "1"} |
5 | length,mag_flux,mass,omega,permeability | m·ℓ·ω·Φ·μ₀ | em,mechanics | m·ℓ³·ω²·Φ⁻²·μ₀ | m = k₀ · ℓ⁻³·ω⁻²·Φ²·μ₀⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "omega": "2", "mag_flux": "-2", "permeability": "1"} |
5 | conductivity,length,mag_flux,mass,omega | m·ℓ·ω·Φ·σ | em,mechanics | m·ℓ·ω·Φ⁻²·σ⁻¹ | m = k₀ · ℓ⁻¹·ω⁻¹·Φ²·σ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "1", "omega": "1", "mag_flux": "-2", "conductivity": "-1"} |
5 | length,mag_flux,mass,omega,resistivity | m·ℓ·ω·Φ·ρ_e | em,mechanics | m·ℓ·ω·Φ⁻²·ρ_e | m = k₀ · ℓ⁻¹·ω⁻¹·Φ²·ρ_e⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "1", "omega": "1", "mag_flux": "-2", "resistivity": "1"} |
5 | elem_charge,length,mag_flux,mass,omega | m·ℓ·ω·Φ·e | constants,em,mechanics | m·ℓ²·ω·Φ⁻¹·e⁻¹ | m = k₀ · ℓ⁻²·ω⁻¹·Φ·e | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "2", "omega": "1", "mag_flux": "-1", "elem_charge": "-1"} |
5 | elem_charge,length,mass,omega,permittivity | m·ℓ·ω·ε·e | constants,em,mechanics | m·ℓ³·ω²·ε·e⁻² | m = k₀ · ℓ⁻³·ω⁻²·ε⁻¹·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "3", "omega": "2", "permittivity": "1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,length,mass,omega | m·ℓ·ω·σ·e | constants,em,mechanics | m·ℓ³·ω·σ·e⁻² | m = k₀ · ℓ⁻³·ω⁻¹·σ⁻¹·e² | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "3", "omega": "1", "conductivity": "1", "elem_charge": "-2"} |
5 | elem_charge,length,mass,omega,resistivity | m·ℓ·ω·ρ_e·e | constants,em,mechanics | m·ℓ³·ω·ρ_e⁻¹·e⁻² | m = k₀ · ℓ⁻³·ω⁻¹·ρ_e·e² | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "3", "omega": "1", "resistivity": "-1", "elem_charge": "-2"} |
5 | amount,length,mass,molar_energy,omega | m·ℓ·ω·n·E_m | chemistry,mechanics | m·ℓ²·ω²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻²·ω⁻²·n·E_m | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "omega": "2", "amount": "-1", "molar_energy": "-1"} |
5 | concentration,length,mass,molar_energy,omega | m·ℓ·ω·c_n·E_m | chemistry,mechanics | m·ℓ⁻¹·ω²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ·ω⁻²·c_n·E_m | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "-1", "omega": "2", "concentration": "-1", "molar_energy": "-1"} |
6 | boltzmann,gas_constant,length,mass,molar_energy,omega | m·ℓ·ω·E_m·R·k_B | chemistry,constants,mechanics | m·ℓ²·ω²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻²·ω⁻²·E_m·R⁻¹·k_B | null | 1 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "omega": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
5 | cat_activity,length,mass,molar_energy,omega | m·ℓ·ω·E_m·z | chemistry,mechanics | m·ℓ²·ω³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·ω⁻³·E_m·z | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "2", "omega": "3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | avogadro,length,mass,molar_energy,omega | m·ℓ·ω·E_m·N_A | chemistry,constants,mechanics | m·ℓ²·ω²·E_m⁻¹·N_A | m = k₀ · ℓ⁻²·ω⁻²·E_m·N_A⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "omega": "2", "molar_energy": "-1", "avogadro": "1"} |
4 | grav_const,length,mass,omega | m·ℓ·ω·G | constants,mechanics | m·ℓ⁻³·ω⁻²·G | m = k₀ · ℓ³·ω²·G⁻¹ | null | 1 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "length": "-3", "omega": "-2", "grav_const": "1"} |
4 | length,mass,omega,planck | m·ℓ·ω·h | constants,mechanics | m·ℓ²·ω·h⁻¹ | m = k₀ · ℓ⁻²·ω⁻¹·h | null | 1 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "length": "2", "omega": "1", "planck": "-1"} |
5 | entropy,frequency,length,mass,temperature | m·ℓ·f·Θ·S_e | mechanics,thermo | m·ℓ²·f²·Θ⁻¹·S_e⁻¹ | m = k₀ · ℓ⁻²·f⁻²·Θ·S_e | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "temperature": "-1", "entropy": "-1"} |
5 | frequency,heat_capacity,length,mass,temperature | m·ℓ·f·Θ·C | mechanics,thermo | m·ℓ²·f²·Θ⁻¹·C⁻¹ | m = k₀ · ℓ⁻²·f⁻²·Θ·C | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "temperature": "-1", "heat_capacity": "-1"} |
5 | frequency,length,mass,temperature,thermal_cond | m·ℓ·f·Θ·κ | mechanics,thermo | m·ℓ·f³·Θ⁻¹·κ⁻¹ | m = k₀ · ℓ⁻¹·f⁻³·Θ·κ | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "length": "1", "frequency": "3", "temperature": "-1", "thermal_cond": "-1"} |
6 | amount,frequency,gas_constant,length,mass,temperature | m·ℓ·f·Θ·n·R | chemistry,mechanics,thermo | m·ℓ²·f²·Θ⁻¹·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·f⁻²·Θ·n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "frequency": "2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"} |
6 | concentration,frequency,gas_constant,length,mass,temperature | m·ℓ·f·Θ·c_n·R | chemistry,mechanics,thermo | m·ℓ⁻¹·f²·Θ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·f⁻²·Θ·c_n·R | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "frequency": "2", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,frequency,gas_constant,length,mass,temperature | m·ℓ·f·Θ·R·z | chemistry,mechanics,thermo | m·ℓ²·f³·Θ⁻¹·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·f⁻³·Θ·R·z | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "2", "frequency": "3", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
6 | avogadro,frequency,gas_constant,length,mass,temperature | m·ℓ·f·Θ·R·N_A | chemistry,constants,mechanics,thermo | m·ℓ²·f²·Θ⁻¹·R⁻¹·N_A | m = k₀ · ℓ⁻²·f⁻²·Θ·R·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "frequency": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"} |
5 | boltzmann,frequency,length,mass,temperature | m·ℓ·f·Θ·k_B | constants,mechanics,thermo | m·ℓ²·f²·Θ⁻¹·k_B⁻¹ | m = k₀ · ℓ⁻²·f⁻²·Θ·k_B | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "frequency": "2", "temperature": "-1", "boltzmann": "-1"} |
5 | entropy,expansion,frequency,length,mass | m·ℓ·f·S_e·β | mechanics,thermo | m·ℓ²·f²·S_e⁻¹·β | m = k₀ · ℓ⁻²·f⁻²·S_e·β⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "entropy": "-1", "expansion": "1"} |
6 | entropy,frequency,gas_constant,length,mass,molar_energy | m·ℓ·f·S_e·E_m·R | chemistry,mechanics,thermo | m·ℓ²·f²·S_e⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻²·f⁻²·S_e·E_m·R⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "frequency": "2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"} |
5 | expansion,frequency,heat_capacity,length,mass | m·ℓ·f·C·β | mechanics,thermo | m·ℓ²·f²·C⁻¹·β | m = k₀ · ℓ⁻²·f⁻²·C·β⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "heat_capacity": "-1", "expansion": "1"} |
6 | frequency,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·f·C·E_m·R | chemistry,mechanics,thermo | m·ℓ²·f²·C⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻²·f⁻²·C·E_m·R⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "frequency": "2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"} |
5 | frequency,length,mass,specific_heat,thermal_cond | m·ℓ·f·c·κ | mechanics,thermo | m·ℓ⁻¹·f·c·κ⁻¹ | m = k₀ · ℓ·f⁻¹·c⁻¹·κ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "length": "-1", "frequency": "1", "specific_heat": "1", "thermal_cond": "-1"} |
5 | expansion,frequency,length,mass,thermal_cond | m·ℓ·f·κ·β | mechanics,thermo | m·ℓ·f³·κ⁻¹·β | m = k₀ · ℓ⁻¹·f⁻³·κ·β⁻¹ | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "length": "1", "frequency": "3", "thermal_cond": "-1", "expansion": "1"} |
6 | frequency,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·f·κ·M_m·R | chemistry,mechanics,thermo | m·ℓ⁻¹·f·κ⁻¹·M_m⁻¹·R | m = k₀ · ℓ·f⁻¹·κ·M_m·R⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "frequency": "1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"} |
6 | frequency,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·f·κ·E_m·R | chemistry,mechanics,thermo | m·ℓ·f³·κ⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻¹·f⁻³·κ·E_m·R⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "1", "frequency": "3", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"} |
6 | amount,expansion,frequency,gas_constant,length,mass | m·ℓ·f·β·n·R | chemistry,mechanics,thermo | m·ℓ²·f²·β·n⁻¹·R⁻¹ | m = k₀ · ℓ⁻²·f⁻²·β⁻¹·n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "frequency": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"} |
6 | concentration,expansion,frequency,gas_constant,length,mass | m·ℓ·f·β·c_n·R | chemistry,mechanics,thermo | m·ℓ⁻¹·f²·β·c_n⁻¹·R⁻¹ | m = k₀ · ℓ·f⁻²·β⁻¹·c_n·R | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "frequency": "2", "expansion": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,expansion,frequency,gas_constant,length,mass | m·ℓ·f·β·R·z | chemistry,mechanics,thermo | m·ℓ²·f³·β·R⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·f⁻³·β⁻¹·R·z | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "2", "frequency": "3", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"} |
6 | avogadro,expansion,frequency,gas_constant,length,mass | m·ℓ·f·β·R·N_A | chemistry,constants,mechanics,thermo | m·ℓ²·f²·β·R⁻¹·N_A | m = k₀ · ℓ⁻²·f⁻²·β⁻¹·R·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "frequency": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"} |
5 | boltzmann,expansion,frequency,length,mass | m·ℓ·f·β·k_B | constants,mechanics,thermo | m·ℓ²·f²·β·k_B⁻¹ | m = k₀ · ℓ⁻²·f⁻²·β⁻¹·k_B | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "frequency": "2", "expansion": "1", "boltzmann": "-1"} |
5 | charge,frequency,length,mass,voltage | m·ℓ·f·q·U | em,mechanics | m·ℓ²·f²·q⁻¹·U⁻¹ | m = k₀ · ℓ⁻²·f⁻²·q·U | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "charge": "-1", "voltage": "-1"} |
5 | charge,frequency,length,mass,resistance | m·ℓ·f·q·R | em,mechanics | m·ℓ²·f·q⁻²·R⁻¹ | m = k₀ · ℓ⁻²·f⁻¹·q²·R | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "1", "charge": "-2", "resistance": "-1"} |
5 | capacitance,charge,frequency,length,mass | m·ℓ·f·q·C_e | em,mechanics | m·ℓ²·f²·q⁻²·C_e | m = k₀ · ℓ⁻²·f⁻²·q²·C_e⁻¹ | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "2", "frequency": "2", "charge": "-2", "capacitance": "1"} |
5 | charge,efield,frequency,length,mass | m·ℓ·f·q·E_f | em,mechanics | m·ℓ·f²·q⁻¹·E_f⁻¹ | m = k₀ · ℓ⁻¹·f⁻²·q·E_f | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "1", "frequency": "2", "charge": "-1", "efield": "-1"} |
5 | charge,frequency,length,mag_flux,mass | m·ℓ·f·q·Φ | em,mechanics | m·ℓ²·f·q⁻¹·Φ⁻¹ | m = k₀ · ℓ⁻²·f⁻¹·q·Φ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "2", "frequency": "1", "charge": "-1", "mag_flux": "-1"} |
5 | charge,frequency,length,mass,permittivity | m·ℓ·f·q·ε | em,mechanics | m·ℓ³·f²·q⁻²·ε | m = k₀ · ℓ⁻³·f⁻²·q²·ε⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "frequency": "2", "charge": "-2", "permittivity": "1"} |
5 | charge,conductivity,frequency,length,mass | m·ℓ·f·q·σ | em,mechanics | m·ℓ³·f·q⁻²·σ | m = k₀ · ℓ⁻³·f⁻¹·q²·σ⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "3", "frequency": "1", "charge": "-2", "conductivity": "1"} |
5 | charge,frequency,length,mass,resistivity | m·ℓ·f·q·ρ_e | em,mechanics | m·ℓ³·f·q⁻²·ρ_e⁻¹ | m = k₀ · ℓ⁻³·f⁻¹·q²·ρ_e | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "3", "frequency": "1", "charge": "-2", "resistivity": "-1"} |
5 | current,frequency,length,mass,voltage | m·ℓ·f·i·U | em,mechanics | m·ℓ²·f³·i⁻¹·U⁻¹ | m = k₀ · ℓ⁻²·f⁻³·i·U | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "2", "frequency": "3", "current": "-1", "voltage": "-1"} |
5 | current,frequency,length,mass,resistance | m·ℓ·f·i·R | em,mechanics | m·ℓ²·f³·i⁻²·R⁻¹ | m = k₀ · ℓ⁻²·f⁻³·i²·R | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "2", "frequency": "3", "current": "-2", "resistance": "-1"} |
5 | capacitance,current,frequency,length,mass | m·ℓ·f·i·C_e | em,mechanics | m·ℓ²·f⁴·i⁻²·C_e | m = k₀ · ℓ⁻²·f⁻⁴·i²·C_e⁻¹ | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "length": "2", "frequency": "4", "current": "-2", "capacitance": "1"} |
5 | current,frequency,inductance,length,mass | m·ℓ·f·i·L_e | em,mechanics | m·ℓ²·f²·i⁻²·L_e⁻¹ | m = k₀ · ℓ⁻²·f⁻²·i²·L_e | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "2", "frequency": "2", "current": "-2", "inductance": "-1"} |
5 | current,efield,frequency,length,mass | m·ℓ·f·i·E_f | em,mechanics | m·ℓ·f³·i⁻¹·E_f⁻¹ | m = k₀ · ℓ⁻¹·f⁻³·i·E_f | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "length": "1", "frequency": "3", "current": "-1", "efield": "-1"} |
5 | current,frequency,length,mag_flux,mass | m·ℓ·f·i·Φ | em,mechanics | m·ℓ²·f²·i⁻¹·Φ⁻¹ | m = k₀ · ℓ⁻²·f⁻²·i·Φ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "current": "-1", "mag_flux": "-1"} |
5 | current,frequency,length,mass,permittivity | m·ℓ·f·i·ε | em,mechanics | m·ℓ³·f⁴·i⁻²·ε | m = k₀ · ℓ⁻³·f⁻⁴·i²·ε⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "3", "frequency": "4", "current": "-2", "permittivity": "1"} |
5 | current,frequency,length,mass,permeability | m·ℓ·f·i·μ₀ | em,mechanics | m·ℓ·f²·i⁻²·μ₀⁻¹ | m = k₀ · ℓ⁻¹·f⁻²·i²·μ₀ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "frequency": "2", "current": "-2", "permeability": "-1"} |
5 | conductivity,current,frequency,length,mass | m·ℓ·f·i·σ | em,mechanics | m·ℓ³·f³·i⁻²·σ | m = k₀ · ℓ⁻³·f⁻³·i²·σ⁻¹ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "length": "3", "frequency": "3", "current": "-2", "conductivity": "1"} |
5 | current,frequency,length,mass,resistivity | m·ℓ·f·i·ρ_e | em,mechanics | m·ℓ³·f³·i⁻²·ρ_e⁻¹ | m = k₀ · ℓ⁻³·f⁻³·i²·ρ_e | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "length": "3", "frequency": "3", "current": "-2", "resistivity": "-1"} |
5 | frequency,length,mass,resistance,voltage | m·ℓ·f·U·R | em,mechanics | m·ℓ²·f³·U⁻²·R | m = k₀ · ℓ⁻²·f⁻³·U²·R⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "2", "frequency": "3", "voltage": "-2", "resistance": "1"} |
5 | capacitance,frequency,length,mass,voltage | m·ℓ·f·U·C_e | em,mechanics | m·ℓ²·f²·U⁻²·C_e⁻¹ | m = k₀ · ℓ⁻²·f⁻²·U²·C_e | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "2", "frequency": "2", "voltage": "-2", "capacitance": "-1"} |
5 | frequency,inductance,length,mass,voltage | m·ℓ·f·U·L_e | em,mechanics | m·ℓ²·f⁴·U⁻²·L_e | m = k₀ · ℓ⁻²·f⁻⁴·U²·L_e⁻¹ | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "length": "2", "frequency": "4", "voltage": "-2", "inductance": "1"} |
5 | frequency,length,mass,permittivity,voltage | m·ℓ·f·U·ε | em,mechanics | m·ℓ·f²·U⁻²·ε⁻¹ | m = k₀ · ℓ⁻¹·f⁻²·U²·ε | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "frequency": "2", "voltage": "-2", "permittivity": "-1"} |
5 | frequency,length,mass,permeability,voltage | m·ℓ·f·U·μ₀ | em,mechanics | m·ℓ³·f⁴·U⁻²·μ₀ | m = k₀ · ℓ⁻³·f⁻⁴·U²·μ₀⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "3", "frequency": "4", "voltage": "-2", "permeability": "1"} |
5 | conductivity,frequency,length,mass,voltage | m·ℓ·f·U·σ | em,mechanics | m·ℓ·f³·U⁻²·σ⁻¹ | m = k₀ · ℓ⁻¹·f⁻³·U²·σ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "1", "frequency": "3", "voltage": "-2", "conductivity": "-1"} |
5 | frequency,length,mass,resistivity,voltage | m·ℓ·f·U·ρ_e | em,mechanics | m·ℓ·f³·U⁻²·ρ_e | m = k₀ · ℓ⁻¹·f⁻³·U²·ρ_e⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "1", "frequency": "3", "voltage": "-2", "resistivity": "1"} |
5 | elem_charge,frequency,length,mass,voltage | m·ℓ·f·U·e | constants,em,mechanics | m·ℓ²·f²·U⁻¹·e⁻¹ | m = k₀ · ℓ⁻²·f⁻²·U·e | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "frequency": "2", "voltage": "-1", "elem_charge": "-1"} |
5 | bfield,frequency,length,mass,resistance | m·ℓ·f·R·B | em,mechanics | m·ℓ⁻²·f·R·B⁻² | m = k₀ · ℓ²·f⁻¹·R⁻¹·B² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "frequency": "1", "resistance": "1", "bfield": "-2"} |
5 | frequency,length,mag_flux,mass,resistance | m·ℓ·f·R·Φ | em,mechanics | m·ℓ²·f·R·Φ⁻² | m = k₀ · ℓ⁻²·f⁻¹·R⁻¹·Φ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "1", "resistance": "1", "mag_flux": "-2"} |
5 | elem_charge,frequency,length,mass,resistance | m·ℓ·f·R·e | constants,em,mechanics | m·ℓ²·f·R⁻¹·e⁻² | m = k₀ · ℓ⁻²·f⁻¹·R·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "frequency": "1", "resistance": "-1", "elem_charge": "-2"} |
5 | capacitance,elem_charge,frequency,length,mass | m·ℓ·f·C_e·e | constants,em,mechanics | m·ℓ²·f²·C_e·e⁻² | m = k₀ · ℓ⁻²·f⁻²·C_e⁻¹·e² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "2", "frequency": "2", "capacitance": "1", "elem_charge": "-2"} |
5 | bfield,frequency,inductance,length,mass | m·ℓ·f·L_e·B | em,mechanics | m·ℓ⁻²·f²·L_e·B⁻² | m = k₀ · ℓ²·f⁻²·L_e⁻¹·B² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "-2", "frequency": "2", "inductance": "1", "bfield": "-2"} |
5 | frequency,inductance,length,mag_flux,mass | m·ℓ·f·L_e·Φ | em,mechanics | m·ℓ²·f²·L_e·Φ⁻² | m = k₀ · ℓ⁻²·f⁻²·L_e⁻¹·Φ² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "2", "frequency": "2", "inductance": "1", "mag_flux": "-2"} |
5 | efield,frequency,length,mass,permittivity | m·ℓ·f·E_f·ε | em,mechanics | m·ℓ⁻¹·f²·E_f⁻²·ε⁻¹ | m = k₀ · ℓ·f⁻²·E_f²·ε | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "frequency": "2", "efield": "-2", "permittivity": "-1"} |
5 | efield,frequency,length,mass,permeability | m·ℓ·f·E_f·μ₀ | em,mechanics | m·ℓ·f⁴·E_f⁻²·μ₀ | m = k₀ · ℓ⁻¹·f⁻⁴·E_f²·μ₀⁻¹ | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "length": "1", "frequency": "4", "efield": "-2", "permeability": "1"} |
5 | conductivity,efield,frequency,length,mass | m·ℓ·f·E_f·σ | em,mechanics | m·ℓ⁻¹·f³·E_f⁻²·σ⁻¹ | m = k₀ · ℓ·f⁻³·E_f²·σ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-1", "frequency": "3", "efield": "-2", "conductivity": "-1"} |
5 | efield,frequency,length,mass,resistivity | m·ℓ·f·E_f·ρ_e | em,mechanics | m·ℓ⁻¹·f³·E_f⁻²·ρ_e | m = k₀ · ℓ·f⁻³·E_f²·ρ_e⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-1", "frequency": "3", "efield": "-2", "resistivity": "1"} |
5 | efield,elem_charge,frequency,length,mass | m·ℓ·f·E_f·e | constants,em,mechanics | m·ℓ·f²·E_f⁻¹·e⁻¹ | m = k₀ · ℓ⁻¹·f⁻²·E_f·e | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "1", "frequency": "2", "efield": "-1", "elem_charge": "-1"} |
5 | bfield,frequency,length,mass,permeability | m·ℓ·f·B·μ₀ | em,mechanics | m·ℓ⁻¹·f²·B⁻²·μ₀ | m = k₀ · ℓ·f⁻²·B²·μ₀⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "frequency": "2", "bfield": "-2", "permeability": "1"} |
5 | bfield,conductivity,frequency,length,mass | m·ℓ·f·B·σ | em,mechanics | m·ℓ⁻³·f·B⁻²·σ⁻¹ | m = k₀ · ℓ³·f⁻¹·B²·σ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-3", "frequency": "1", "bfield": "-2", "conductivity": "-1"} |
5 | bfield,frequency,length,mass,resistivity | m·ℓ·f·B·ρ_e | em,mechanics | m·ℓ⁻³·f·B⁻²·ρ_e | m = k₀ · ℓ³·f⁻¹·B²·ρ_e⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "-3", "frequency": "1", "bfield": "-2", "resistivity": "1"} |
5 | frequency,length,mag_flux,mass,permeability | m·ℓ·f·Φ·μ₀ | em,mechanics | m·ℓ³·f²·Φ⁻²·μ₀ | m = k₀ · ℓ⁻³·f⁻²·Φ²·μ₀⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "frequency": "2", "mag_flux": "-2", "permeability": "1"} |
5 | conductivity,frequency,length,mag_flux,mass | m·ℓ·f·Φ·σ | em,mechanics | m·ℓ·f·Φ⁻²·σ⁻¹ | m = k₀ · ℓ⁻¹·f⁻¹·Φ²·σ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "1", "frequency": "1", "mag_flux": "-2", "conductivity": "-1"} |
5 | frequency,length,mag_flux,mass,resistivity | m·ℓ·f·Φ·ρ_e | em,mechanics | m·ℓ·f·Φ⁻²·ρ_e | m = k₀ · ℓ⁻¹·f⁻¹·Φ²·ρ_e⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "1", "frequency": "1", "mag_flux": "-2", "resistivity": "1"} |
5 | elem_charge,frequency,length,mag_flux,mass | m·ℓ·f·Φ·e | constants,em,mechanics | m·ℓ²·f·Φ⁻¹·e⁻¹ | m = k₀ · ℓ⁻²·f⁻¹·Φ·e | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "2", "frequency": "1", "mag_flux": "-1", "elem_charge": "-1"} |
5 | elem_charge,frequency,length,mass,permittivity | m·ℓ·f·ε·e | constants,em,mechanics | m·ℓ³·f²·ε·e⁻² | m = k₀ · ℓ⁻³·f⁻²·ε⁻¹·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "3", "frequency": "2", "permittivity": "1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,frequency,length,mass | m·ℓ·f·σ·e | constants,em,mechanics | m·ℓ³·f·σ·e⁻² | m = k₀ · ℓ⁻³·f⁻¹·σ⁻¹·e² | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "3", "frequency": "1", "conductivity": "1", "elem_charge": "-2"} |
5 | elem_charge,frequency,length,mass,resistivity | m·ℓ·f·ρ_e·e | constants,em,mechanics | m·ℓ³·f·ρ_e⁻¹·e⁻² | m = k₀ · ℓ⁻³·f⁻¹·ρ_e·e² | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "3", "frequency": "1", "resistivity": "-1", "elem_charge": "-2"} |
5 | amount,frequency,length,mass,molar_energy | m·ℓ·f·n·E_m | chemistry,mechanics | m·ℓ²·f²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻²·f⁻²·n·E_m | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "frequency": "2", "amount": "-1", "molar_energy": "-1"} |
5 | concentration,frequency,length,mass,molar_energy | m·ℓ·f·c_n·E_m | chemistry,mechanics | m·ℓ⁻¹·f²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ·f⁻²·c_n·E_m | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "-1", "frequency": "2", "concentration": "-1", "molar_energy": "-1"} |
6 | boltzmann,frequency,gas_constant,length,mass,molar_energy | m·ℓ·f·E_m·R·k_B | chemistry,constants,mechanics | m·ℓ²·f²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻²·f⁻²·E_m·R⁻¹·k_B | null | 1 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "frequency": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
5 | cat_activity,frequency,length,mass,molar_energy | m·ℓ·f·E_m·z | chemistry,mechanics | m·ℓ²·f³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻²·f⁻³·E_m·z | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "2", "frequency": "3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | avogadro,frequency,length,mass,molar_energy | m·ℓ·f·E_m·N_A | chemistry,constants,mechanics | m·ℓ²·f²·E_m⁻¹·N_A | m = k₀ · ℓ⁻²·f⁻²·E_m·N_A⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "frequency": "2", "molar_energy": "-1", "avogadro": "1"} |
4 | frequency,grav_const,length,mass | m·ℓ·f·G | constants,mechanics | m·ℓ⁻³·f⁻²·G | m = k₀ · ℓ³·f²·G⁻¹ | null | 1 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "length": "-3", "frequency": "-2", "grav_const": "1"} |
4 | frequency,length,mass,planck | m·ℓ·f·h | constants,mechanics | m·ℓ²·f·h⁻¹ | m = k₀ · ℓ⁻²·f⁻¹·h | null | 1 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "length": "2", "frequency": "1", "planck": "-1"} |
4 | flowrate,length,mass,stiffness | m·ℓ·k·Q | mechanics | m·ℓ⁻⁶·k⁻¹·Q² | m = k₀ · ℓ⁶·k·Q⁻² | null | 0 | 1 | 6 | 10 | 8.7 | 1.3 | false | {"mass": "1", "length": "-6", "stiffness": "-1", "flowrate": "2"} |
5 | length,mass,specific_heat,stiffness,temperature | m·ℓ·k·Θ·c | mechanics,thermo | m·ℓ⁻²·k⁻¹·Θ·c | m = k₀ · ℓ²·k·Θ⁻¹·c⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "-2", "stiffness": "-1", "temperature": "1", "specific_heat": "1"} |
5 | length,mass,stiffness,temperature,thermal_cond | m·ℓ·k·Θ·κ | mechanics,thermo | m·ℓ⁻²·k⁻³·Θ²·κ² | m = k₀ · ℓ²·k³·Θ⁻²·κ⁻² | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "length": "-2", "stiffness": "-3", "temperature": "2", "thermal_cond": "2"} |
6 | gas_constant,length,mass,molar_mass,stiffness,temperature | m·ℓ·k·Θ·M_m·R | chemistry,mechanics,thermo | m·ℓ⁻²·k⁻¹·Θ·M_m⁻¹·R | m = k₀ · ℓ²·k·Θ⁻¹·M_m·R⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "stiffness": "-1", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"} |
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