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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4 | inertia,mass,time,velocity | m·t·v·J | mechanics | m·t²·v²·J⁻¹ | m = k₀ · t⁻²·v⁻²·J | null | 0 | 1 | 2 | 6 | 3.9 | 6.1 | true | {"mass": "1", "time": "2", "velocity": "2", "inertia": "-1"} |
4 | mass,pressure,time,velocity | m·t·v·P_p | mechanics | m·t⁻³·v⁻¹·P_p⁻¹ | m = k₀ · t³·v·P_p | null | 0 | 1 | 3 | 6 | 4.4 | 5.6 | true | {"mass": "1", "time": "-3", "velocity": "-1", "pressure": "-1"} |
4 | density,mass,time,velocity | m·t·v·ρ | mechanics | m·t⁻³·v⁻³·ρ⁻¹ | m = k₀ · t³·v³·ρ | null | 0 | 1 | 3 | 8 | 5.8 | 4.2 | true | {"mass": "1", "time": "-3", "velocity": "-3", "density": "-1"} |
4 | mass,time,velocity,viscosity | m·t·v·μ | mechanics | m·t⁻²·v⁻¹·μ⁻¹ | m = k₀ · t²·v·μ | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "time": "-2", "velocity": "-1", "viscosity": "-1"} |
5 | mass,temperature,thermal_cond,time,velocity | m·t·v·Θ·κ | mechanics,thermo | m·t⁻²·v·Θ⁻¹·κ⁻¹ | m = k₀ · t²·v⁻¹·Θ·κ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-2", "velocity": "1", "temperature": "-1", "thermal_cond": "-1"} |
6 | concentration,gas_constant,mass,temperature,time,velocity | m·t·v·Θ·c_n·R | chemistry,mechanics,thermo | m·t⁻³·v⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · t³·v·Θ·c_n·R | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "time": "-3", "velocity": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,gas_constant,mass,temperature,time,velocity | m·t·v·Θ·R·z | chemistry,mechanics,thermo | m·t⁻¹·v²·Θ⁻¹·R⁻¹·z⁻¹ | m = k₀ · t·v⁻²·Θ·R·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "velocity": "2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
5 | mass,specific_heat,thermal_cond,time,velocity | m·t·v·c·κ | mechanics,thermo | m·t⁻²·v⁻¹·c·κ⁻¹ | m = k₀ · t²·v·c⁻¹·κ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-2", "velocity": "-1", "specific_heat": "1", "thermal_cond": "-1"} |
6 | concentration,gas_constant,mass,specific_heat,time,velocity | m·t·v·c·c_n·R | chemistry,mechanics,thermo | m·t⁻³·v⁻³·c·c_n⁻¹·R⁻¹ | m = k₀ · t³·v³·c⁻¹·c_n·R | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "time": "-3", "velocity": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"} |
5 | expansion,mass,thermal_cond,time,velocity | m·t·v·κ·β | mechanics,thermo | m·t⁻²·v·κ⁻¹·β | m = k₀ · t²·v⁻¹·κ·β⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-2", "velocity": "1", "thermal_cond": "-1", "expansion": "1"} |
6 | gas_constant,mass,molar_mass,thermal_cond,time,velocity | m·t·v·κ·M_m·R | chemistry,mechanics,thermo | m·t⁻²·v⁻¹·κ⁻¹·M_m⁻¹·R | m = k₀ · t²·v·κ·M_m·R⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "velocity": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"} |
6 | gas_constant,mass,molar_energy,thermal_cond,time,velocity | m·t·v·κ·E_m·R | chemistry,mechanics,thermo | m·t⁻²·v·κ⁻¹·E_m⁻¹·R | m = k₀ · t²·v⁻¹·κ·E_m·R⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "velocity": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"} |
6 | concentration,expansion,gas_constant,mass,time,velocity | m·t·v·β·c_n·R | chemistry,mechanics,thermo | m·t⁻³·v⁻¹·β·c_n⁻¹·R⁻¹ | m = k₀ · t³·v·β⁻¹·c_n·R | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "time": "-3", "velocity": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,expansion,gas_constant,mass,time,velocity | m·t·v·β·R·z | chemistry,mechanics,thermo | m·t⁻¹·v²·β·R⁻¹·z⁻¹ | m = k₀ · t·v⁻²·β⁻¹·R·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-1", "velocity": "2", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"} |
5 | charge,mass,resistance,time,velocity | m·t·v·q·R | em,mechanics | m·t·v²·q⁻²·R⁻¹ | m = k₀ · t⁻¹·v⁻²·q²·R | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "1", "velocity": "2", "charge": "-2", "resistance": "-1"} |
5 | charge,inductance,mass,time,velocity | m·t·v·q·L_e | em,mechanics | m·t²·v²·q⁻²·L_e⁻¹ | m = k₀ · t⁻²·v⁻²·q²·L_e | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "2", "velocity": "2", "charge": "-2", "inductance": "-1"} |
5 | charge,efield,mass,time,velocity | m·t·v·q·E_f | em,mechanics | m·t⁻¹·v·q⁻¹·E_f⁻¹ | m = k₀ · t·v⁻¹·q·E_f | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "time": "-1", "velocity": "1", "charge": "-1", "efield": "-1"} |
5 | charge,mag_flux,mass,time,velocity | m·t·v·q·Φ | em,mechanics | m·t·v²·q⁻¹·Φ⁻¹ | m = k₀ · t⁻¹·v⁻²·q·Φ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "1", "velocity": "2", "charge": "-1", "mag_flux": "-1"} |
5 | charge,mass,permittivity,time,velocity | m·t·v·q·ε | em,mechanics | m·t·v³·q⁻²·ε | m = k₀ · t⁻¹·v⁻³·q²·ε⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "1", "velocity": "3", "charge": "-2", "permittivity": "1"} |
5 | charge,mass,permeability,time,velocity | m·t·v·q·μ₀ | em,mechanics | m·t·v·q⁻²·μ₀⁻¹ | m = k₀ · t⁻¹·v⁻¹·q²·μ₀ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "1", "velocity": "1", "charge": "-2", "permeability": "-1"} |
5 | charge,conductivity,mass,time,velocity | m·t·v·q·σ | em,mechanics | m·t²·v³·q⁻²·σ | m = k₀ · t⁻²·v⁻³·q²·σ⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "2", "velocity": "3", "charge": "-2", "conductivity": "1"} |
5 | charge,mass,resistivity,time,velocity | m·t·v·q·ρ_e | em,mechanics | m·t²·v³·q⁻²·ρ_e⁻¹ | m = k₀ · t⁻²·v⁻³·q²·ρ_e | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "2", "velocity": "3", "charge": "-2", "resistivity": "-1"} |
5 | current,mass,time,velocity,voltage | m·t·v·i·U | em,mechanics | m·t⁻¹·v²·i⁻¹·U⁻¹ | m = k₀ · t·v⁻²·i·U | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-1", "velocity": "2", "current": "-1", "voltage": "-1"} |
5 | current,mass,resistance,time,velocity | m·t·v·i·R | em,mechanics | m·t⁻¹·v²·i⁻²·R⁻¹ | m = k₀ · t·v⁻²·i²·R | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "-1", "velocity": "2", "current": "-2", "resistance": "-1"} |
5 | capacitance,current,mass,time,velocity | m·t·v·i·C_e | em,mechanics | m·t⁻²·v²·i⁻²·C_e | m = k₀ · t²·v⁻²·i²·C_e⁻¹ | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "-2", "velocity": "2", "current": "-2", "capacitance": "1"} |
5 | current,efield,mass,time,velocity | m·t·v·i·E_f | em,mechanics | m·t⁻²·v·i⁻¹·E_f⁻¹ | m = k₀ · t²·v⁻¹·i·E_f | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-2", "velocity": "1", "current": "-1", "efield": "-1"} |
5 | current,mass,permittivity,time,velocity | m·t·v·i·ε | em,mechanics | m·t⁻¹·v³·i⁻²·ε | m = k₀ · t·v⁻³·i²·ε⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "-1", "velocity": "3", "current": "-2", "permittivity": "1"} |
5 | current,mass,permeability,time,velocity | m·t·v·i·μ₀ | em,mechanics | m·t⁻¹·v·i⁻²·μ₀⁻¹ | m = k₀ · t·v⁻¹·i²·μ₀ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-1", "velocity": "1", "current": "-2", "permeability": "-1"} |
5 | mass,resistance,time,velocity,voltage | m·t·v·U·R | em,mechanics | m·t⁻¹·v²·U⁻²·R | m = k₀ · t·v⁻²·U²·R⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "-1", "velocity": "2", "voltage": "-2", "resistance": "1"} |
5 | inductance,mass,time,velocity,voltage | m·t·v·U·L_e | em,mechanics | m·t⁻²·v²·U⁻²·L_e | m = k₀ · t²·v⁻²·U²·L_e⁻¹ | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "-2", "velocity": "2", "voltage": "-2", "inductance": "1"} |
5 | mass,permittivity,time,velocity,voltage | m·t·v·U·ε | em,mechanics | m·t⁻¹·v·U⁻²·ε⁻¹ | m = k₀ · t·v⁻¹·U²·ε | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-1", "velocity": "1", "voltage": "-2", "permittivity": "-1"} |
5 | mass,permeability,time,velocity,voltage | m·t·v·U·μ₀ | em,mechanics | m·t⁻¹·v³·U⁻²·μ₀ | m = k₀ · t·v⁻³·U²·μ₀⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "-1", "velocity": "3", "voltage": "-2", "permeability": "1"} |
5 | conductivity,mass,time,velocity,voltage | m·t·v·U·σ | em,mechanics | m·t⁻²·v·U⁻²·σ⁻¹ | m = k₀ · t²·v⁻¹·U²·σ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "-2", "velocity": "1", "voltage": "-2", "conductivity": "-1"} |
5 | mass,resistivity,time,velocity,voltage | m·t·v·U·ρ_e | em,mechanics | m·t⁻²·v·U⁻²·ρ_e | m = k₀ · t²·v⁻¹·U²·ρ_e⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "-2", "velocity": "1", "voltage": "-2", "resistivity": "1"} |
5 | bfield,mass,resistance,time,velocity | m·t·v·R·B | em,mechanics | m·t⁻³·v⁻²·R·B⁻² | m = k₀ · t³·v²·R⁻¹·B² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "-3", "velocity": "-2", "resistance": "1", "bfield": "-2"} |
5 | mag_flux,mass,resistance,time,velocity | m·t·v·R·Φ | em,mechanics | m·t·v²·R·Φ⁻² | m = k₀ · t⁻¹·v⁻²·R⁻¹·Φ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "1", "velocity": "2", "resistance": "1", "mag_flux": "-2"} |
5 | elem_charge,mass,resistance,time,velocity | m·t·v·R·e | constants,em,mechanics | m·t·v²·R⁻¹·e⁻² | m = k₀ · t⁻¹·v⁻²·R·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "time": "1", "velocity": "2", "resistance": "-1", "elem_charge": "-2"} |
5 | bfield,capacitance,mass,time,velocity | m·t·v·C_e·B | em,mechanics | m·t⁻²·v⁻²·C_e⁻¹·B⁻² | m = k₀ · t²·v²·C_e·B² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "-2", "velocity": "-2", "capacitance": "-1", "bfield": "-2"} |
5 | capacitance,mag_flux,mass,time,velocity | m·t·v·C_e·Φ | em,mechanics | m·t²·v²·C_e⁻¹·Φ⁻² | m = k₀ · t⁻²·v⁻²·C_e·Φ² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "2", "velocity": "2", "capacitance": "-1", "mag_flux": "-2"} |
5 | bfield,inductance,mass,time,velocity | m·t·v·L_e·B | em,mechanics | m·t⁻⁴·v⁻²·L_e·B⁻² | m = k₀ · t⁴·v²·L_e⁻¹·B² | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "time": "-4", "velocity": "-2", "inductance": "1", "bfield": "-2"} |
5 | elem_charge,inductance,mass,time,velocity | m·t·v·L_e·e | constants,em,mechanics | m·t²·v²·L_e⁻¹·e⁻² | m = k₀ · t⁻²·v⁻²·L_e·e² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "time": "2", "velocity": "2", "inductance": "-1", "elem_charge": "-2"} |
5 | efield,mass,permittivity,time,velocity | m·t·v·E_f·ε | em,mechanics | m·t⁻³·v⁻¹·E_f⁻²·ε⁻¹ | m = k₀ · t³·v·E_f²·ε | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "-3", "velocity": "-1", "efield": "-2", "permittivity": "-1"} |
5 | efield,mass,permeability,time,velocity | m·t·v·E_f·μ₀ | em,mechanics | m·t⁻³·v·E_f⁻²·μ₀ | m = k₀ · t³·v⁻¹·E_f²·μ₀⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "-3", "velocity": "1", "efield": "-2", "permeability": "1"} |
5 | conductivity,efield,mass,time,velocity | m·t·v·E_f·σ | em,mechanics | m·t⁻⁴·v⁻¹·E_f⁻²·σ⁻¹ | m = k₀ · t⁴·v·E_f²·σ | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "time": "-4", "velocity": "-1", "efield": "-2", "conductivity": "-1"} |
5 | efield,mass,resistivity,time,velocity | m·t·v·E_f·ρ_e | em,mechanics | m·t⁻⁴·v⁻¹·E_f⁻²·ρ_e | m = k₀ · t⁴·v·E_f²·ρ_e⁻¹ | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "time": "-4", "velocity": "-1", "efield": "-2", "resistivity": "1"} |
5 | efield,elem_charge,mass,time,velocity | m·t·v·E_f·e | constants,em,mechanics | m·t⁻¹·v·E_f⁻¹·e⁻¹ | m = k₀ · t·v⁻¹·E_f·e | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "-1", "velocity": "1", "efield": "-1", "elem_charge": "-1"} |
5 | bfield,mass,permittivity,time,velocity | m·t·v·B·ε | em,mechanics | m·t⁻³·v⁻³·B⁻²·ε⁻¹ | m = k₀ · t³·v³·B²·ε | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "time": "-3", "velocity": "-3", "bfield": "-2", "permittivity": "-1"} |
5 | bfield,mass,permeability,time,velocity | m·t·v·B·μ₀ | em,mechanics | m·t⁻³·v⁻¹·B⁻²·μ₀ | m = k₀ · t³·v·B²·μ₀⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "-3", "velocity": "-1", "bfield": "-2", "permeability": "1"} |
5 | bfield,conductivity,mass,time,velocity | m·t·v·B·σ | em,mechanics | m·t⁻⁴·v⁻³·B⁻²·σ⁻¹ | m = k₀ · t⁴·v³·B²·σ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "time": "-4", "velocity": "-3", "bfield": "-2", "conductivity": "-1"} |
5 | bfield,mass,resistivity,time,velocity | m·t·v·B·ρ_e | em,mechanics | m·t⁻⁴·v⁻³·B⁻²·ρ_e | m = k₀ · t⁴·v³·B²·ρ_e⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "time": "-4", "velocity": "-3", "bfield": "-2", "resistivity": "1"} |
5 | mag_flux,mass,permittivity,time,velocity | m·t·v·Φ·ε | em,mechanics | m·t·v·Φ⁻²·ε⁻¹ | m = k₀ · t⁻¹·v⁻¹·Φ²·ε | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "1", "velocity": "1", "mag_flux": "-2", "permittivity": "-1"} |
5 | mag_flux,mass,permeability,time,velocity | m·t·v·Φ·μ₀ | em,mechanics | m·t·v³·Φ⁻²·μ₀ | m = k₀ · t⁻¹·v⁻³·Φ²·μ₀⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "1", "velocity": "3", "mag_flux": "-2", "permeability": "1"} |
5 | elem_charge,mag_flux,mass,time,velocity | m·t·v·Φ·e | constants,em,mechanics | m·t·v²·Φ⁻¹·e⁻¹ | m = k₀ · t⁻¹·v⁻²·Φ·e | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "time": "1", "velocity": "2", "mag_flux": "-1", "elem_charge": "-1"} |
5 | elem_charge,mass,permittivity,time,velocity | m·t·v·ε·e | constants,em,mechanics | m·t·v³·ε·e⁻² | m = k₀ · t⁻¹·v⁻³·ε⁻¹·e² | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "time": "1", "velocity": "3", "permittivity": "1", "elem_charge": "-2"} |
5 | elem_charge,mass,permeability,time,velocity | m·t·v·μ₀·e | constants,em,mechanics | m·t·v·μ₀⁻¹·e⁻² | m = k₀ · t⁻¹·v⁻¹·μ₀·e² | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "time": "1", "velocity": "1", "permeability": "-1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,mass,time,velocity | m·t·v·σ·e | constants,em,mechanics | m·t²·v³·σ·e⁻² | m = k₀ · t⁻²·v⁻³·σ⁻¹·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "time": "2", "velocity": "3", "conductivity": "1", "elem_charge": "-2"} |
5 | elem_charge,mass,resistivity,time,velocity | m·t·v·ρ_e·e | constants,em,mechanics | m·t²·v³·ρ_e⁻¹·e⁻² | m = k₀ · t⁻²·v⁻³·ρ_e·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "time": "2", "velocity": "3", "resistivity": "-1", "elem_charge": "-2"} |
5 | concentration,mass,molar_mass,time,velocity | m·t·v·M_m·c_n | chemistry,mechanics | m·t⁻³·v⁻³·M_m⁻¹·c_n⁻¹ | m = k₀ · t³·v³·M_m·c_n | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "-3", "velocity": "-3", "molar_mass": "-1", "concentration": "-1"} |
5 | concentration,mass,molar_energy,time,velocity | m·t·v·c_n·E_m | chemistry,mechanics | m·t⁻³·v⁻¹·c_n⁻¹·E_m⁻¹ | m = k₀ · t³·v·c_n·E_m | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "time": "-3", "velocity": "-1", "concentration": "-1", "molar_energy": "-1"} |
5 | cat_activity,mass,molar_energy,time,velocity | m·t·v·E_m·z | chemistry,mechanics | m·t⁻¹·v²·E_m⁻¹·z⁻¹ | m = k₀ · t·v⁻²·E_m·z | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "time": "-1", "velocity": "2", "molar_energy": "-1", "cat_activity": "-1"} |
4 | grav_const,mass,time,velocity | m·t·v·G | constants,mechanics | m·t⁻¹·v⁻³·G | m = k₀ · t·v³·G⁻¹ | null | 1 | 2 | 3 | 6 | 5 | 4.5 | true | {"mass": "1", "time": "-1", "velocity": "-3", "grav_const": "1"} |
4 | mass,planck,time,velocity | m·t·v·h | constants,mechanics | m·t·v²·h⁻¹ | m = k₀ · t⁻¹·v⁻²·h | null | 1 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "time": "1", "velocity": "2", "planck": "-1"} |
4 | acceleration,energy,mass,time | m·t·a·E | mechanics | m·t²·a²·E⁻¹ | m = k₀ · t⁻²·a⁻²·E | null | 0 | 1 | 2 | 6 | 3.9 | 6.1 | true | {"mass": "1", "time": "2", "acceleration": "2", "energy": "-1"} |
4 | acceleration,mass,time,torque | m·t·a·τ | mechanics | m·t²·a²·τ⁻¹ | m = k₀ · t⁻²·a⁻²·τ | null | 0 | 1 | 2 | 6 | 3.9 | 6.1 | true | {"mass": "1", "time": "2", "acceleration": "2", "torque": "-1"} |
4 | acceleration,mass,power,time | m·t·a·P | mechanics | m·t·a²·P⁻¹ | m = k₀ · t⁻¹·a⁻²·P | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "time": "1", "acceleration": "2", "power": "-1"} |
4 | acceleration,mass,momentum,time | m·t·a·p | mechanics | m·t·a·p⁻¹ | m = k₀ · t⁻¹·a⁻¹·p | null | 0 | 1 | 1 | 4 | 2 | 8 | true | {"mass": "1", "time": "1", "acceleration": "1", "momentum": "-1"} |
4 | acceleration,ang_momentum,mass,time | m·t·a·Lₐ | mechanics | m·t³·a²·Lₐ⁻¹ | m = k₀ · t⁻³·a⁻²·Lₐ | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "time": "3", "acceleration": "2", "ang_momentum": "-1"} |
4 | acceleration,action,mass,time | m·t·a·S | mechanics | m·t³·a²·S⁻¹ | m = k₀ · t⁻³·a⁻²·S | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "time": "3", "acceleration": "2", "action": "-1"} |
4 | acceleration,inertia,mass,time | m·t·a·J | mechanics | m·t⁴·a²·J⁻¹ | m = k₀ · t⁻⁴·a⁻²·J | null | 0 | 1 | 4 | 8 | 6.3 | 3.7 | false | {"mass": "1", "time": "4", "acceleration": "2", "inertia": "-1"} |
4 | acceleration,mass,pressure,time | m·t·a·P_p | mechanics | m·t⁻⁴·a⁻¹·P_p⁻¹ | m = k₀ · t⁴·a·P_p | null | 0 | 1 | 4 | 7 | 5.6 | 4.4 | false | {"mass": "1", "time": "-4", "acceleration": "-1", "pressure": "-1"} |
4 | acceleration,density,mass,time | m·t·a·ρ | mechanics | m·t⁻⁶·a⁻³·ρ⁻¹ | m = k₀ · t⁶·a³·ρ | null | 0 | 1 | 6 | 11 | 9.4 | 0.6 | false | {"mass": "1", "time": "-6", "acceleration": "-3", "density": "-1"} |
4 | acceleration,mass,time,viscosity | m·t·a·μ | mechanics | m·t⁻³·a⁻¹·μ⁻¹ | m = k₀ · t³·a·μ | null | 0 | 1 | 3 | 6 | 4.4 | 5.6 | true | {"mass": "1", "time": "-3", "acceleration": "-1", "viscosity": "-1"} |
5 | acceleration,entropy,mass,temperature,time | m·t·a·Θ·S_e | mechanics,thermo | m·t²·a²·Θ⁻¹·S_e⁻¹ | m = k₀ · t⁻²·a⁻²·Θ·S_e | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "entropy": "-1"} |
5 | acceleration,heat_capacity,mass,temperature,time | m·t·a·Θ·C | mechanics,thermo | m·t²·a²·Θ⁻¹·C⁻¹ | m = k₀ · t⁻²·a⁻²·Θ·C | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "heat_capacity": "-1"} |
5 | acceleration,mass,temperature,thermal_cond,time | m·t·a·Θ·κ | mechanics,thermo | m·t⁻¹·a·Θ⁻¹·κ⁻¹ | m = k₀ · t·a⁻¹·Θ·κ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "time": "-1", "acceleration": "1", "temperature": "-1", "thermal_cond": "-1"} |
6 | acceleration,amount,gas_constant,mass,temperature,time | m·t·a·Θ·n·R | chemistry,mechanics,thermo | m·t²·a²·Θ⁻¹·n⁻¹·R⁻¹ | m = k₀ · t⁻²·a⁻²·Θ·n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"} |
6 | acceleration,concentration,gas_constant,mass,temperature,time | m·t·a·Θ·c_n·R | chemistry,mechanics,thermo | m·t⁻⁴·a⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · t⁴·a·Θ·c_n·R | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "time": "-4", "acceleration": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,cat_activity,gas_constant,mass,temperature,time | m·t·a·Θ·R·z | chemistry,mechanics,thermo | m·t·a²·Θ⁻¹·R⁻¹·z⁻¹ | m = k₀ · t⁻¹·a⁻²·Θ·R·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "1", "acceleration": "2", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
6 | acceleration,avogadro,gas_constant,mass,temperature,time | m·t·a·Θ·R·N_A | chemistry,constants,mechanics,thermo | m·t²·a²·Θ⁻¹·R⁻¹·N_A | m = k₀ · t⁻²·a⁻²·Θ·R·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"} |
5 | acceleration,boltzmann,mass,temperature,time | m·t·a·Θ·k_B | constants,mechanics,thermo | m·t²·a²·Θ⁻¹·k_B⁻¹ | m = k₀ · t⁻²·a⁻²·Θ·k_B | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "time": "2", "acceleration": "2", "temperature": "-1", "boltzmann": "-1"} |
5 | acceleration,entropy,expansion,mass,time | m·t·a·S_e·β | mechanics,thermo | m·t²·a²·S_e⁻¹·β | m = k₀ · t⁻²·a⁻²·S_e·β⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "2", "acceleration": "2", "entropy": "-1", "expansion": "1"} |
6 | acceleration,entropy,gas_constant,mass,molar_energy,time | m·t·a·S_e·E_m·R | chemistry,mechanics,thermo | m·t²·a²·S_e⁻¹·E_m⁻¹·R | m = k₀ · t⁻²·a⁻²·S_e·E_m·R⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "2", "acceleration": "2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"} |
5 | acceleration,expansion,heat_capacity,mass,time | m·t·a·C·β | mechanics,thermo | m·t²·a²·C⁻¹·β | m = k₀ · t⁻²·a⁻²·C·β⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "2", "acceleration": "2", "heat_capacity": "-1", "expansion": "1"} |
6 | acceleration,gas_constant,heat_capacity,mass,molar_energy,time | m·t·a·C·E_m·R | chemistry,mechanics,thermo | m·t²·a²·C⁻¹·E_m⁻¹·R | m = k₀ · t⁻²·a⁻²·C·E_m·R⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "2", "acceleration": "2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"} |
5 | acceleration,mass,specific_heat,thermal_cond,time | m·t·a·c·κ | mechanics,thermo | m·t⁻³·a⁻¹·c·κ⁻¹ | m = k₀ · t³·a·c⁻¹·κ | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "time": "-3", "acceleration": "-1", "specific_heat": "1", "thermal_cond": "-1"} |
6 | acceleration,concentration,gas_constant,mass,specific_heat,time | m·t·a·c·c_n·R | chemistry,mechanics,thermo | m·t⁻⁶·a⁻³·c·c_n⁻¹·R⁻¹ | m = k₀ · t⁶·a³·c⁻¹·c_n·R | null | 0 | 3 | 6 | 13 | 12.6 | -3.6 | false | {"mass": "1", "time": "-6", "acceleration": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"} |
5 | acceleration,expansion,mass,thermal_cond,time | m·t·a·κ·β | mechanics,thermo | m·t⁻¹·a·κ⁻¹·β | m = k₀ · t·a⁻¹·κ·β⁻¹ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "time": "-1", "acceleration": "1", "thermal_cond": "-1", "expansion": "1"} |
6 | acceleration,gas_constant,mass,molar_mass,thermal_cond,time | m·t·a·κ·M_m·R | chemistry,mechanics,thermo | m·t⁻³·a⁻¹·κ⁻¹·M_m⁻¹·R | m = k₀ · t³·a·κ·M_m·R⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "time": "-3", "acceleration": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"} |
6 | acceleration,gas_constant,mass,molar_energy,thermal_cond,time | m·t·a·κ·E_m·R | chemistry,mechanics,thermo | m·t⁻¹·a·κ⁻¹·E_m⁻¹·R | m = k₀ · t·a⁻¹·κ·E_m·R⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "time": "-1", "acceleration": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"} |
6 | acceleration,amount,expansion,gas_constant,mass,time | m·t·a·β·n·R | chemistry,mechanics,thermo | m·t²·a²·β·n⁻¹·R⁻¹ | m = k₀ · t⁻²·a⁻²·β⁻¹·n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "time": "2", "acceleration": "2", "expansion": "1", "amount": "-1", "gas_constant": "-1"} |
6 | acceleration,concentration,expansion,gas_constant,mass,time | m·t·a·β·c_n·R | chemistry,mechanics,thermo | m·t⁻⁴·a⁻¹·β·c_n⁻¹·R⁻¹ | m = k₀ · t⁴·a·β⁻¹·c_n·R | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "time": "-4", "acceleration": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,cat_activity,expansion,gas_constant,mass,time | m·t·a·β·R·z | chemistry,mechanics,thermo | m·t·a²·β·R⁻¹·z⁻¹ | m = k₀ · t⁻¹·a⁻²·β⁻¹·R·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "1", "acceleration": "2", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"} |
6 | acceleration,avogadro,expansion,gas_constant,mass,time | m·t·a·β·R·N_A | chemistry,constants,mechanics,thermo | m·t²·a²·β·R⁻¹·N_A | m = k₀ · t⁻²·a⁻²·β⁻¹·R·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "time": "2", "acceleration": "2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"} |
5 | acceleration,boltzmann,expansion,mass,time | m·t·a·β·k_B | constants,mechanics,thermo | m·t²·a²·β·k_B⁻¹ | m = k₀ · t⁻²·a⁻²·β⁻¹·k_B | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "time": "2", "acceleration": "2", "expansion": "1", "boltzmann": "-1"} |
5 | acceleration,charge,mass,time,voltage | m·t·a·q·U | em,mechanics | m·t²·a²·q⁻¹·U⁻¹ | m = k₀ · t⁻²·a⁻²·q·U | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "time": "2", "acceleration": "2", "charge": "-1", "voltage": "-1"} |
5 | acceleration,charge,mass,resistance,time | m·t·a·q·R | em,mechanics | m·t³·a²·q⁻²·R⁻¹ | m = k₀ · t⁻³·a⁻²·q²·R | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "time": "3", "acceleration": "2", "charge": "-2", "resistance": "-1"} |
5 | acceleration,capacitance,charge,mass,time | m·t·a·q·C_e | em,mechanics | m·t²·a²·q⁻²·C_e | m = k₀ · t⁻²·a⁻²·q²·C_e⁻¹ | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "time": "2", "acceleration": "2", "charge": "-2", "capacitance": "1"} |
5 | acceleration,charge,inductance,mass,time | m·t·a·q·L_e | em,mechanics | m·t⁴·a²·q⁻²·L_e⁻¹ | m = k₀ · t⁻⁴·a⁻²·q²·L_e | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "time": "4", "acceleration": "2", "charge": "-2", "inductance": "-1"} |
5 | acceleration,charge,mag_flux,mass,time | m·t·a·q·Φ | em,mechanics | m·t³·a²·q⁻¹·Φ⁻¹ | m = k₀ · t⁻³·a⁻²·q·Φ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "time": "3", "acceleration": "2", "charge": "-1", "mag_flux": "-1"} |
5 | acceleration,charge,mass,permittivity,time | m·t·a·q·ε | em,mechanics | m·t⁴·a³·q⁻²·ε | m = k₀ · t⁻⁴·a⁻³·q²·ε⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "time": "4", "acceleration": "3", "charge": "-2", "permittivity": "1"} |
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