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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6 | current,mass,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·i·U | em,mechanics,thermo | m·v³·Θ·κ·i⁻²·U⁻² | m = k₀ · v⁻³·Θ⁻¹·κ⁻¹·i²·U² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "1", "thermal_cond": "1", "current": "-2", "voltage": "-2"} |
6 | current,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·i·R | em,mechanics,thermo | m·v³·Θ·κ·i⁻⁴·R⁻² | m = k₀ · v⁻³·Θ⁻¹·κ⁻¹·i⁴·R² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "velocity": "3", "temperature": "1", "thermal_cond": "1", "current": "-4", "resistance": "-2"} |
6 | current,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·i·ε | em,mechanics,thermo | m·v⁵·Θ·κ·i⁻⁴·ε² | m = k₀ · v⁻⁵·Θ⁻¹·κ⁻¹·i⁴·ε⁻² | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "velocity": "5", "temperature": "1", "thermal_cond": "1", "current": "-4", "permittivity": "2"} |
6 | current,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·i·μ₀ | em,mechanics,thermo | m·v·Θ·κ·i⁻⁴·μ₀⁻² | m = k₀ · v⁻¹·Θ⁻¹·κ⁻¹·i⁴·μ₀² | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "velocity": "1", "temperature": "1", "thermal_cond": "1", "current": "-4", "permeability": "-2"} |
6 | current,elem_charge,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·i·e | constants,em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·i²·e⁻² | m = k₀ · v⁻¹·Θ·κ·i⁻²·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "current": "2", "elem_charge": "-2"} |
6 | mass,resistance,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·U·R | em,mechanics,thermo | m·v³·Θ·κ·U⁻⁴·R² | m = k₀ · v⁻³·Θ⁻¹·κ⁻¹·U⁴·R⁻² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "velocity": "3", "temperature": "1", "thermal_cond": "1", "voltage": "-4", "resistance": "2"} |
6 | efield,mass,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·U·E_f | em,mechanics,thermo | m·v³·Θ⁻¹·κ⁻¹·U⁻²·E_f² | m = k₀ · v⁻³·Θ·κ·U²·E_f⁻² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "voltage": "-2", "efield": "2"} |
6 | bfield,mass,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·U·B | em,mechanics,thermo | m·v⁵·Θ⁻¹·κ⁻¹·U⁻²·B² | m = k₀ · v⁻⁵·Θ·κ·U²·B⁻² | null | 0 | 3 | 5 | 12 | 11.4 | -2.4 | false | {"mass": "1", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "voltage": "-2", "bfield": "2"} |
6 | mag_flux,mass,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·U·Φ | em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·U²·Φ⁻² | m = k₀ · v⁻¹·Θ·κ·U⁻²·Φ² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "voltage": "2", "mag_flux": "-2"} |
6 | mass,permittivity,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·U·ε | em,mechanics,thermo | m·v·Θ·κ·U⁻⁴·ε⁻² | m = k₀ · v⁻¹·Θ⁻¹·κ⁻¹·U⁴·ε² | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "velocity": "1", "temperature": "1", "thermal_cond": "1", "voltage": "-4", "permittivity": "-2"} |
6 | mass,permeability,temperature,thermal_cond,velocity,voltage | m·v·Θ·κ·U·μ₀ | em,mechanics,thermo | m·v⁵·Θ·κ·U⁻⁴·μ₀² | m = k₀ · v⁻⁵·Θ⁻¹·κ⁻¹·U⁴·μ₀⁻² | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "velocity": "5", "temperature": "1", "thermal_cond": "1", "voltage": "-4", "permeability": "2"} |
6 | capacitance,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·C_e | em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·R⁻²·C_e⁻² | m = k₀ · v⁻¹·Θ·κ·R²·C_e² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "resistance": "-2", "capacitance": "-2"} |
6 | inductance,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·L_e | em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·R²·L_e⁻² | m = k₀ · v⁻¹·Θ·κ·R⁻²·L_e² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "resistance": "2", "inductance": "-2"} |
6 | efield,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·E_f | em,mechanics,thermo | m·v³·Θ⁻³·κ⁻³·R⁻²·E_f⁴ | m = k₀ · v⁻³·Θ³·κ³·R²·E_f⁻⁴ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "1", "velocity": "3", "temperature": "-3", "thermal_cond": "-3", "resistance": "-2", "efield": "4"} |
6 | bfield,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·B | em,mechanics,thermo | m·v⁷·Θ⁻³·κ⁻³·R⁻²·B⁴ | m = k₀ · v⁻⁷·Θ³·κ³·R²·B⁻⁴ | null | 0 | 3 | 7 | 20 | 18 | -9 | false | {"mass": "1", "velocity": "7", "temperature": "-3", "thermal_cond": "-3", "resistance": "-2", "bfield": "4"} |
6 | mag_flux,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·Φ | em,mechanics,thermo | m³·v⁵·Θ⁻¹·κ⁻¹·R²·Φ⁻⁴ | Θ = k₀ · m³·v⁵·κ⁻¹·R²·Φ⁻⁴ | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "3", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "resistance": "2", "mag_flux": "-4"} |
6 | conductivity,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·σ | em,mechanics,thermo | m·v³·Θ⁻¹·κ⁻¹·R²·σ² | m = k₀ · v⁻³·Θ·κ·R⁻²·σ⁻² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "resistance": "2", "conductivity": "2"} |
6 | mass,resistance,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·R·ρ_e | em,mechanics,thermo | m·v³·Θ⁻¹·κ⁻¹·R²·ρ_e⁻² | m = k₀ · v⁻³·Θ·κ·R⁻²·ρ_e² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "resistance": "2", "resistivity": "-2"} |
6 | elem_charge,mass,resistance,temperature,thermal_cond,velocity | m·v·Θ·κ·R·e | constants,em,mechanics,thermo | m³·v⁵·Θ⁻¹·κ⁻¹·R⁻²·e⁻⁴ | Θ = k₀ · m³·v⁵·κ⁻¹·R⁻²·e⁻⁴ | null | 1 | 4 | 5 | 16 | 14.8 | -6.3 | false | {"mass": "3", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,inductance,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·C_e·L_e | em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·C_e⁻¹·L_e⁻¹ | m = k₀ · v⁻¹·Θ·κ·C_e·L_e | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-1", "inductance": "-1"} |
6 | capacitance,mag_flux,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·C_e·Φ | em,mechanics,thermo | m²·v³·Θ⁻¹·κ⁻¹·C_e⁻¹·Φ⁻² | Θ = k₀ · m²·v³·κ⁻¹·C_e⁻¹·Φ⁻² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "2", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-1", "mag_flux": "-2"} |
6 | capacitance,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·C_e·ε | em,mechanics,thermo | m·v³·Θ⁻¹·κ⁻¹·C_e⁻²·ε² | m = k₀ · v⁻³·Θ·κ·C_e²·ε⁻² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-2", "permittivity": "2"} |
6 | capacitance,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·C_e·μ₀ | em,mechanics,thermo | m·v⁻¹·Θ⁻¹·κ⁻¹·C_e⁻²·μ₀⁻² | m = k₀ · v·Θ·κ·C_e²·μ₀² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "-1", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-2", "permeability": "-2"} |
6 | capacitance,conductivity,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·C_e·σ | em,mechanics,thermo | m·v²·Θ⁻¹·κ⁻¹·C_e⁻¹·σ | m = k₀ · v⁻²·Θ·κ·C_e·σ⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-1", "conductivity": "1"} |
6 | capacitance,mass,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·C_e·ρ_e | em,mechanics,thermo | m·v²·Θ⁻¹·κ⁻¹·C_e⁻¹·ρ_e⁻¹ | m = k₀ · v⁻²·Θ·κ·C_e·ρ_e | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "thermal_cond": "-1", "capacitance": "-1", "resistivity": "-1"} |
6 | efield,inductance,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·L_e·E_f | em,mechanics,thermo | m·v²·Θ⁻²·κ⁻²·L_e⁻¹·E_f² | m = k₀ · v⁻²·Θ²·κ²·L_e·E_f⁻² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "velocity": "2", "temperature": "-2", "thermal_cond": "-2", "inductance": "-1", "efield": "2"} |
6 | bfield,inductance,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·L_e·B | em,mechanics,thermo | m·v⁴·Θ⁻²·κ⁻²·L_e⁻¹·B² | m = k₀ · v⁻⁴·Θ²·κ²·L_e·B⁻² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "velocity": "4", "temperature": "-2", "thermal_cond": "-2", "inductance": "-1", "bfield": "2"} |
6 | inductance,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·L_e·ε | em,mechanics,thermo | m·v⁻¹·Θ⁻¹·κ⁻¹·L_e⁻²·ε⁻² | m = k₀ · v·Θ·κ·L_e²·ε² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "-1", "temperature": "-1", "thermal_cond": "-1", "inductance": "-2", "permittivity": "-2"} |
6 | inductance,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·L_e·μ₀ | em,mechanics,thermo | m·v³·Θ⁻¹·κ⁻¹·L_e⁻²·μ₀² | m = k₀ · v⁻³·Θ·κ·L_e²·μ₀⁻² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "inductance": "-2", "permeability": "2"} |
6 | elem_charge,inductance,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·L_e·e | constants,em,mechanics,thermo | m²·v³·Θ⁻¹·κ⁻¹·L_e⁻¹·e⁻² | Θ = k₀ · m²·v³·κ⁻¹·L_e⁻¹·e⁻² | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "2", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "inductance": "-1", "elem_charge": "-2"} |
6 | efield,mag_flux,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·E_f·Φ | em,mechanics,thermo | m·v²·Θ⁻¹·κ⁻¹·E_f·Φ⁻¹ | m = k₀ · v⁻²·Θ·κ·E_f⁻¹·Φ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "thermal_cond": "-1", "efield": "1", "mag_flux": "-1"} |
6 | efield,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·E_f·ε | em,mechanics,thermo | m·v⁵·Θ⁻³·κ⁻³·E_f⁴·ε² | m = k₀ · v⁻⁵·Θ³·κ³·E_f⁻⁴·ε⁻² | null | 0 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"mass": "1", "velocity": "5", "temperature": "-3", "thermal_cond": "-3", "efield": "4", "permittivity": "2"} |
6 | efield,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·E_f·μ₀ | em,mechanics,thermo | m·v·Θ⁻³·κ⁻³·E_f⁴·μ₀⁻² | m = k₀ · v⁻¹·Θ³·κ³·E_f⁻⁴·μ₀² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "1", "velocity": "1", "temperature": "-3", "thermal_cond": "-3", "efield": "4", "permeability": "-2"} |
6 | conductivity,efield,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·E_f·σ | em,mechanics,thermo | m·v³·Θ⁻²·κ⁻²·E_f²·σ | m = k₀ · v⁻³·Θ²·κ²·E_f⁻²·σ⁻¹ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "velocity": "3", "temperature": "-2", "thermal_cond": "-2", "efield": "2", "conductivity": "1"} |
6 | efield,mass,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·E_f·ρ_e | em,mechanics,thermo | m·v³·Θ⁻²·κ⁻²·E_f²·ρ_e⁻¹ | m = k₀ · v⁻³·Θ²·κ²·E_f⁻²·ρ_e | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "velocity": "3", "temperature": "-2", "thermal_cond": "-2", "efield": "2", "resistivity": "-1"} |
6 | efield,elem_charge,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·E_f·e | constants,em,mechanics,thermo | m·v·Θ·κ·E_f⁻²·e⁻² | m = k₀ · v⁻¹·Θ⁻¹·κ⁻¹·E_f²·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "1", "temperature": "1", "thermal_cond": "1", "efield": "-2", "elem_charge": "-2"} |
6 | bfield,mag_flux,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·B·Φ | em,mechanics,thermo | m·v³·Θ⁻¹·κ⁻¹·B·Φ⁻¹ | m = k₀ · v⁻³·Θ·κ·B⁻¹·Φ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "bfield": "1", "mag_flux": "-1"} |
6 | bfield,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·B·ε | em,mechanics,thermo | m·v⁹·Θ⁻³·κ⁻³·B⁴·ε² | m = k₀ · v⁻⁹·Θ³·κ³·B⁻⁴·ε⁻² | null | 0 | 3 | 9 | 22 | 20.4 | -11.4 | false | {"mass": "1", "velocity": "9", "temperature": "-3", "thermal_cond": "-3", "bfield": "4", "permittivity": "2"} |
6 | bfield,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·B·μ₀ | em,mechanics,thermo | m·v⁵·Θ⁻³·κ⁻³·B⁴·μ₀⁻² | m = k₀ · v⁻⁵·Θ³·κ³·B⁻⁴·μ₀² | null | 0 | 3 | 5 | 18 | 15.6 | -6.6 | false | {"mass": "1", "velocity": "5", "temperature": "-3", "thermal_cond": "-3", "bfield": "4", "permeability": "-2"} |
6 | bfield,conductivity,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·B·σ | em,mechanics,thermo | m·v⁵·Θ⁻²·κ⁻²·B²·σ | m = k₀ · v⁻⁵·Θ²·κ²·B⁻²·σ⁻¹ | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "1", "velocity": "5", "temperature": "-2", "thermal_cond": "-2", "bfield": "2", "conductivity": "1"} |
6 | bfield,mass,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·B·ρ_e | em,mechanics,thermo | m·v⁵·Θ⁻²·κ⁻²·B²·ρ_e⁻¹ | m = k₀ · v⁻⁵·Θ²·κ²·B⁻²·ρ_e | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "1", "velocity": "5", "temperature": "-2", "thermal_cond": "-2", "bfield": "2", "resistivity": "-1"} |
6 | bfield,elem_charge,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·B·e | constants,em,mechanics,thermo | m·v⁻¹·Θ·κ·B⁻²·e⁻² | m = k₀ · v·Θ⁻¹·κ⁻¹·B²·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "-1", "temperature": "1", "thermal_cond": "1", "bfield": "-2", "elem_charge": "-2"} |
6 | mag_flux,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·Φ·ε | em,mechanics,thermo | m³·v³·Θ⁻¹·κ⁻¹·Φ⁻⁴·ε⁻² | Θ = k₀ · m³·v³·κ⁻¹·Φ⁻⁴·ε⁻² | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "3", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "mag_flux": "-4", "permittivity": "-2"} |
6 | mag_flux,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·Φ·μ₀ | em,mechanics,thermo | m³·v⁷·Θ⁻¹·κ⁻¹·Φ⁻⁴·μ₀² | Θ = k₀ · m³·v⁷·κ⁻¹·Φ⁻⁴·μ₀² | null | 0 | 3 | 7 | 18 | 16.6 | -7.6 | false | {"mass": "3", "velocity": "7", "temperature": "-1", "thermal_cond": "-1", "mag_flux": "-4", "permeability": "2"} |
6 | elem_charge,mag_flux,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·Φ·e | constants,em,mechanics,thermo | m³·v⁵·Θ⁻¹·κ⁻¹·Φ⁻²·e⁻² | Θ = k₀ · m³·v⁵·κ⁻¹·Φ⁻²·e⁻² | null | 1 | 4 | 5 | 14 | 13.4 | -4.9 | false | {"mass": "3", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "mag_flux": "-2", "elem_charge": "-2"} |
6 | conductivity,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·ε·σ | em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·ε⁻²·σ² | m = k₀ · v⁻¹·Θ·κ·ε²·σ⁻² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "permittivity": "-2", "conductivity": "2"} |
6 | mass,permittivity,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·ε·ρ_e | em,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·ε⁻²·ρ_e⁻² | m = k₀ · v⁻¹·Θ·κ·ε²·ρ_e² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "permittivity": "-2", "resistivity": "-2"} |
6 | elem_charge,mass,permittivity,temperature,thermal_cond,velocity | m·v·Θ·κ·ε·e | constants,em,mechanics,thermo | m³·v⁷·Θ⁻¹·κ⁻¹·ε²·e⁻⁴ | Θ = k₀ · m³·v⁷·κ⁻¹·ε²·e⁻⁴ | null | 1 | 4 | 7 | 18 | 17.2 | -8.7 | false | {"mass": "3", "velocity": "7", "temperature": "-1", "thermal_cond": "-1", "permittivity": "2", "elem_charge": "-4"} |
6 | conductivity,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·μ₀·σ | em,mechanics,thermo | m·v⁵·Θ⁻¹·κ⁻¹·μ₀²·σ² | m = k₀ · v⁻⁵·Θ·κ·μ₀⁻²·σ⁻² | null | 0 | 3 | 5 | 12 | 11.4 | -2.4 | false | {"mass": "1", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "permeability": "2", "conductivity": "2"} |
6 | mass,permeability,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·μ₀·ρ_e | em,mechanics,thermo | m·v⁵·Θ⁻¹·κ⁻¹·μ₀²·ρ_e⁻² | m = k₀ · v⁻⁵·Θ·κ·μ₀⁻²·ρ_e² | null | 0 | 3 | 5 | 12 | 11.4 | -2.4 | false | {"mass": "1", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "permeability": "2", "resistivity": "-2"} |
6 | elem_charge,mass,permeability,temperature,thermal_cond,velocity | m·v·Θ·κ·μ₀·e | constants,em,mechanics,thermo | m³·v³·Θ⁻¹·κ⁻¹·μ₀⁻²·e⁻⁴ | Θ = k₀ · m³·v³·κ⁻¹·μ₀⁻²·e⁻⁴ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "3", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "permeability": "-2", "elem_charge": "-4"} |
6 | conductivity,elem_charge,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·σ·e | constants,em,mechanics,thermo | m²·v⁴·Θ⁻¹·κ⁻¹·σ·e⁻² | Θ = k₀ · m²·v⁴·κ⁻¹·σ·e⁻² | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "2", "velocity": "4", "temperature": "-1", "thermal_cond": "-1", "conductivity": "1", "elem_charge": "-2"} |
6 | elem_charge,mass,resistivity,temperature,thermal_cond,velocity | m·v·Θ·κ·ρ_e·e | constants,em,mechanics,thermo | m²·v⁴·Θ⁻¹·κ⁻¹·ρ_e⁻¹·e⁻² | Θ = k₀ · m²·v⁴·κ⁻¹·ρ_e⁻¹·e⁻² | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "2", "velocity": "4", "temperature": "-1", "thermal_cond": "-1", "resistivity": "-1", "elem_charge": "-2"} |
6 | amount,concentration,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·n·c_n | chemistry,mechanics,thermo | m³·v⁹·Θ⁻³·κ⁻³·n⁻²·c_n² | n = k₀ · m³ᐟ²·v⁹ᐟ²·Θ⁻³ᐟ²·κ⁻³ᐟ²·c_n | null | 0 | 3 | 9 | 22 | 20.4 | -11.4 | false | {"mass": "3", "velocity": "9", "temperature": "-3", "thermal_cond": "-3", "amount": "-2", "concentration": "2"} |
6 | amount,cat_activity,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·n·z | chemistry,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·n⁻²·z² | m = k₀ · v⁻¹·Θ·κ·n²·z⁻² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "amount": "-2", "cat_activity": "2"} |
6 | concentration,mass,molar_mass,temperature,thermal_cond,velocity | m·v·Θ·κ·M_m·c_n | chemistry,mechanics,thermo | m·v⁹·Θ⁻³·κ⁻³·M_m²·c_n² | m = k₀ · v⁻⁹·Θ³·κ³·M_m⁻²·c_n⁻² | null | 0 | 3 | 9 | 20 | 19 | -10 | false | {"mass": "1", "velocity": "9", "temperature": "-3", "thermal_cond": "-3", "molar_mass": "2", "concentration": "2"} |
6 | cat_activity,mass,molar_mass,temperature,thermal_cond,velocity | m·v·Θ·κ·M_m·z | chemistry,mechanics,thermo | m·v⁻¹·Θ·κ·M_m⁻²·z⁻² | m = k₀ · v·Θ⁻¹·κ⁻¹·M_m²·z² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "-1", "temperature": "1", "thermal_cond": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,mass,molar_energy,temperature,thermal_cond,velocity | m·v·Θ·κ·c_n·E_m | chemistry,mechanics,thermo | m·v⁵·Θ⁻³·κ⁻³·c_n²·E_m² | m = k₀ · v⁻⁵·Θ³·κ³·c_n⁻²·E_m⁻² | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "1", "velocity": "5", "temperature": "-3", "thermal_cond": "-3", "concentration": "2", "molar_energy": "2"} |
6 | concentration,gas_constant,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·c_n·R | chemistry,mechanics,thermo | m·v⁵·Θ⁻¹·κ⁻³·c_n²·R² | m = k₀ · v⁻⁵·Θ·κ³·c_n⁻²·R⁻² | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "velocity": "5", "temperature": "-1", "thermal_cond": "-3", "concentration": "2", "gas_constant": "2"} |
6 | cat_activity,concentration,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·c_n·z | chemistry,mechanics,thermo | m·v⁴·Θ⁻¹·κ⁻¹·c_n·z⁻¹ | m = k₀ · v⁻⁴·Θ·κ·c_n⁻¹·z | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "velocity": "4", "temperature": "-1", "thermal_cond": "-1", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,concentration,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·c_n·N_A | chemistry,constants,mechanics,thermo | m³·v⁹·Θ⁻³·κ⁻³·c_n²·N_A² | c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·Θ³ᐟ²·κ³ᐟ²·N_A⁻¹ | null | 1 | 4 | 9 | 22 | 21 | -12.5 | false | {"mass": "3", "velocity": "9", "temperature": "-3", "thermal_cond": "-3", "concentration": "2", "avogadro": "2"} |
6 | cat_activity,mass,molar_energy,temperature,thermal_cond,velocity | m·v·Θ·κ·E_m·z | chemistry,mechanics,thermo | m·v³·Θ·κ·E_m⁻²·z⁻² | m = k₀ · v⁻³·Θ⁻¹·κ⁻¹·E_m²·z² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "1", "thermal_cond": "1", "molar_energy": "-2", "cat_activity": "-2"} |
6 | cat_activity,gas_constant,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·R·z | chemistry,mechanics,thermo | m·v³·Θ⁻¹·κ·R⁻²·z⁻² | m = k₀ · v⁻³·Θ·κ⁻¹·R²·z² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "1", "gas_constant": "-2", "cat_activity": "-2"} |
6 | avogadro,cat_activity,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·z·N_A | chemistry,constants,mechanics,thermo | m·v·Θ⁻¹·κ⁻¹·z²·N_A² | m = k₀ · v⁻¹·Θ·κ·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "1", "temperature": "-1", "thermal_cond": "-1", "cat_activity": "2", "avogadro": "2"} |
6 | illuminance,lum_intensity,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·I_v·E_v | mechanics,photometry,thermo | m·v³·Θ⁻¹·κ⁻¹·I_v⁻¹·E_v | m = k₀ · v⁻³·Θ·κ·I_v·E_v⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "lum_intensity": "-1", "illuminance": "1"} |
6 | lum_intensity,luminance,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·I_v·L_v | mechanics,photometry,thermo | m·v³·Θ⁻¹·κ⁻¹·I_v⁻¹·L_v | m = k₀ · v⁻³·Θ·κ·I_v·L_v⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "velocity": "3", "temperature": "-1", "thermal_cond": "-1", "lum_intensity": "-1", "luminance": "1"} |
5 | grav_const,mass,temperature,thermal_cond,velocity | m·v·Θ·κ·G | constants,mechanics,thermo | m·v⁻⁷·Θ·κ·G² | m = k₀ · v⁷·Θ⁻¹·κ⁻¹·G⁻² | null | 1 | 3 | 7 | 12 | 12.1 | -3.1 | false | {"mass": "1", "velocity": "-7", "temperature": "1", "thermal_cond": "1", "grav_const": "2"} |
5 | mass,planck,temperature,thermal_cond,velocity | m·v·Θ·κ·h | constants,mechanics,thermo | m³·v⁵·Θ⁻¹·κ⁻¹·h⁻² | Θ = k₀ · m³·v⁵·κ⁻¹·h⁻² | null | 1 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "3", "velocity": "5", "temperature": "-1", "thermal_cond": "-1", "planck": "-2"} |
6 | concentration,gas_constant,mass,temperature,thermal_diff,velocity | m·v·Θ·α·c_n·R | chemistry,mechanics,thermo | m·v⁵·Θ⁻¹·α⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻⁵·Θ·α³·c_n·R | null | 0 | 3 | 5 | 12 | 11.4 | -2.4 | false | {"mass": "1", "velocity": "5", "temperature": "-1", "thermal_diff": "-3", "concentration": "-1", "gas_constant": "-1"} |
6 | cat_activity,gas_constant,mass,temperature,thermal_diff,velocity | m·v·Θ·α·R·z | chemistry,mechanics,thermo | m·v⁴·Θ⁻¹·α⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻⁴·Θ·α·R·z | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "velocity": "4", "temperature": "-1", "thermal_diff": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,current,gas_constant,mass,temperature,velocity | m·v·Θ·q·i·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·Θ⁻¹·q⁻³·i³·c_n⁻¹·R⁻¹ | m = k₀ · v·Θ·q³·i⁻³·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "velocity": "-1", "temperature": "-1", "charge": "-3", "current": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,current,gas_constant,mass,temperature,velocity | m·v·Θ·q·i·R·z | chemistry,em,mechanics,thermo | m·v²·Θ⁻¹·q⁻¹·i·R⁻¹·z⁻¹ | m = k₀ · v⁻²·Θ·q·i⁻¹·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "charge": "-1", "current": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,gas_constant,mass,resistance,temperature,velocity | m·v·Θ·q·R·c_n·R | chemistry,em,mechanics,thermo | m⁴·v⁵·Θ⁻¹·q⁻⁶·R⁻³·c_n⁻¹·R⁻¹ | Θ = k₀ · m⁴·v⁵·q⁻⁶·R⁻³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "4", "velocity": "5", "temperature": "-1", "charge": "-6", "resistance": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,mass,resistance,temperature,velocity | m·v·Θ·q·R·R·z | chemistry,em,mechanics,thermo | m²·v⁴·Θ⁻¹·q⁻²·R⁻¹·R⁻¹·z⁻¹ | Θ = k₀ · m²·v⁴·q⁻²·R⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "2", "velocity": "4", "temperature": "-1", "charge": "-2", "resistance": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,gas_constant,inductance,mass,temperature,velocity | m·v·Θ·q·L_e·c_n·R | chemistry,em,mechanics,thermo | m⁵·v⁴·Θ⁻²·q⁻⁶·L_e⁻³·c_n⁻²·R⁻² | Θ = k₀ · m⁵ᐟ²·v²·q⁻³·L_e⁻³ᐟ²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "5", "velocity": "4", "temperature": "-2", "charge": "-6", "inductance": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,charge,gas_constant,inductance,mass,temperature,velocity | m·v·Θ·q·L_e·R·z | chemistry,em,mechanics,thermo | m³·v⁶·Θ⁻²·q⁻²·L_e⁻¹·R⁻²·z⁻² | L_e = k₀ · m³·v⁶·Θ⁻²·q⁻²·R⁻²·z⁻² | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "velocity": "6", "temperature": "-2", "charge": "-2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | charge,concentration,efield,gas_constant,mass,temperature,velocity | m·v·Θ·q·E_f·c_n·R | chemistry,em,mechanics,thermo | m²·v⁴·Θ·q⁻³·E_f⁻³·c_n·R | Θ = k₀ · m⁻²·v⁻⁴·q³·E_f³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 4 | 15 | 13.9 | -5.4 | false | {"mass": "2", "velocity": "4", "temperature": "1", "charge": "-3", "efield": "-3", "concentration": "1", "gas_constant": "1"} |
7 | bfield,charge,concentration,gas_constant,mass,temperature,velocity | m·v·Θ·q·B·c_n·R | chemistry,em,mechanics,thermo | m²·v·Θ·q⁻³·B⁻³·c_n·R | v = k₀ · m⁻²·Θ⁻¹·q³·B³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "2", "velocity": "1", "temperature": "1", "charge": "-3", "bfield": "-3", "concentration": "1", "gas_constant": "1"} |
7 | charge,concentration,gas_constant,mag_flux,mass,temperature,velocity | m·v·Θ·q·Φ·c_n·R | chemistry,em,mechanics,thermo | m⁴·v⁵·Θ⁻¹·q⁻³·Φ⁻³·c_n⁻¹·R⁻¹ | Θ = k₀ · m⁴·v⁵·q⁻³·Φ⁻³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "4", "velocity": "5", "temperature": "-1", "charge": "-3", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,mag_flux,mass,temperature,velocity | m·v·Θ·q·Φ·R·z | chemistry,em,mechanics,thermo | m²·v⁴·Θ⁻¹·q⁻¹·Φ⁻¹·R⁻¹·z⁻¹ | Θ = k₀ · m²·v⁴·q⁻¹·Φ⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 4 | 11 | 11.1 | -2.6 | false | {"mass": "2", "velocity": "4", "temperature": "-1", "charge": "-1", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,gas_constant,mass,permittivity,temperature,velocity | m·v·Θ·q·ε·c_n·R | chemistry,em,mechanics,thermo | m⁴·v⁸·Θ⁻¹·q⁻⁶·ε³·c_n⁻¹·R⁻¹ | Θ = k₀ · m⁴·v⁸·q⁻⁶·ε³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "4", "velocity": "8", "temperature": "-1", "charge": "-6", "permittivity": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,mass,permittivity,temperature,velocity | m·v·Θ·q·ε·R·z | chemistry,em,mechanics,thermo | m²·v⁵·Θ⁻¹·q⁻²·ε·R⁻¹·z⁻¹ | Θ = k₀ · m²·v⁵·q⁻²·ε·R⁻¹·z⁻¹ | null | 0 | 4 | 5 | 13 | 13 | -4.5 | false | {"mass": "2", "velocity": "5", "temperature": "-1", "charge": "-2", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,gas_constant,mass,permeability,temperature,velocity | m·v·Θ·q·μ₀·c_n·R | chemistry,em,mechanics,thermo | m⁴·v²·Θ⁻¹·q⁻⁶·μ₀⁻³·c_n⁻¹·R⁻¹ | Θ = k₀ · m⁴·v²·q⁻⁶·μ₀⁻³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "4", "velocity": "2", "temperature": "-1", "charge": "-6", "permeability": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,mass,permeability,temperature,velocity | m·v·Θ·q·μ₀·R·z | chemistry,em,mechanics,thermo | m²·v³·Θ⁻¹·q⁻²·μ₀⁻¹·R⁻¹·z⁻¹ | Θ = k₀ · m²·v³·q⁻²·μ₀⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "2", "velocity": "3", "temperature": "-1", "charge": "-2", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,conductivity,gas_constant,mass,temperature,velocity | m·v·Θ·q·σ·c_n·R | chemistry,em,mechanics,thermo | m⁵·v⁷·Θ⁻²·q⁻⁶·σ³·c_n⁻²·R⁻² | Θ = k₀ · m⁵ᐟ²·v⁷ᐟ²·q⁻³·σ³ᐟ²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 7 | 27 | 23.8 | -15.3 | false | {"mass": "5", "velocity": "7", "temperature": "-2", "charge": "-6", "conductivity": "3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,charge,conductivity,gas_constant,mass,temperature,velocity | m·v·Θ·q·σ·R·z | chemistry,em,mechanics,thermo | m³·v⁷·Θ⁻²·q⁻²·σ·R⁻²·z⁻² | σ = k₀ · m⁻³·v⁻⁷·Θ²·q²·R²·z² | null | 0 | 4 | 7 | 19 | 18.2 | -9.7 | false | {"mass": "3", "velocity": "7", "temperature": "-2", "charge": "-2", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | charge,concentration,gas_constant,mass,resistivity,temperature,velocity | m·v·Θ·q·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m⁵·v⁷·Θ⁻²·q⁻⁶·ρ_e⁻³·c_n⁻²·R⁻² | Θ = k₀ · m⁵ᐟ²·v⁷ᐟ²·q⁻³·ρ_e⁻³ᐟ²·c_n⁻¹·R⁻¹ | null | 0 | 4 | 7 | 27 | 23.8 | -15.3 | false | {"mass": "5", "velocity": "7", "temperature": "-2", "charge": "-6", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,charge,gas_constant,mass,resistivity,temperature,velocity | m·v·Θ·q·ρ_e·R·z | chemistry,em,mechanics,thermo | m³·v⁷·Θ⁻²·q⁻²·ρ_e⁻¹·R⁻²·z⁻² | ρ_e = k₀ · m³·v⁷·Θ⁻²·q⁻²·R⁻²·z⁻² | null | 0 | 4 | 7 | 19 | 18.2 | -9.7 | false | {"mass": "3", "velocity": "7", "temperature": "-2", "charge": "-2", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,gas_constant,mass,temperature,velocity,voltage | m·v·Θ·i·U·c_n·R | chemistry,em,mechanics,thermo | m²·v⁷·Θ·i⁻³·U⁻³·c_n·R | Θ = k₀ · m⁻²·v⁻⁷·i³·U³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 7 | 18 | 17.5 | -9 | false | {"mass": "2", "velocity": "7", "temperature": "1", "current": "-3", "voltage": "-3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,current,gas_constant,mass,resistance,temperature,velocity | m·v·Θ·i·R·c_n·R | chemistry,em,mechanics,thermo | m²·v⁷·Θ·i⁻⁶·R⁻³·c_n·R | Θ = k₀ · m⁻²·v⁻⁷·i⁶·R³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "2", "velocity": "7", "temperature": "1", "current": "-6", "resistance": "-3", "concentration": "1", "gas_constant": "1"} |
7 | capacitance,concentration,current,gas_constant,mass,temperature,velocity | m·v·Θ·i·C_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁸·Θ²·i⁻⁶·C_e³·c_n²·R² | m = k₀ · v⁻⁸·Θ⁻²·i⁶·C_e⁻³·c_n⁻²·R⁻² | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "velocity": "8", "temperature": "2", "current": "-6", "capacitance": "3", "concentration": "2", "gas_constant": "2"} |
7 | capacitance,cat_activity,current,gas_constant,mass,temperature,velocity | m·v·Θ·i·C_e·R·z | chemistry,em,mechanics,thermo | m·v²·Θ⁻²·i²·C_e⁻¹·R⁻²·z⁻² | m = k₀ · v⁻²·Θ²·i⁻²·C_e·R²·z² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "temperature": "-2", "current": "2", "capacitance": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,efield,gas_constant,mass,temperature,velocity | m·v·Θ·i·E_f·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·Θ²·i⁻³·E_f⁻³·c_n²·R² | m = k₀ · v⁻⁵·Θ⁻²·i³·E_f³·c_n⁻²·R⁻² | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "1", "velocity": "5", "temperature": "2", "current": "-3", "efield": "-3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,current,efield,gas_constant,mass,temperature,velocity | m·v·Θ·i·E_f·R·z | chemistry,em,mechanics,thermo | m·v³·Θ⁻²·i·E_f·R⁻²·z⁻² | m = k₀ · v⁻³·Θ²·i⁻¹·E_f⁻¹·R²·z² | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "3", "temperature": "-2", "current": "1", "efield": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | bfield,concentration,current,gas_constant,mass,temperature,velocity | m·v·Θ·i·B·c_n·R | chemistry,em,mechanics,thermo | m·v²·Θ²·i⁻³·B⁻³·c_n²·R² | m = k₀ · v⁻²·Θ⁻²·i³·B³·c_n⁻²·R⁻² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "velocity": "2", "temperature": "2", "current": "-3", "bfield": "-3", "concentration": "2", "gas_constant": "2"} |
7 | bfield,cat_activity,current,gas_constant,mass,temperature,velocity | m·v·Θ·i·B·R·z | chemistry,em,mechanics,thermo | m·v⁴·Θ⁻²·i·B·R⁻²·z⁻² | m = k₀ · v⁻⁴·Θ²·i⁻¹·B⁻¹·R²·z² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "velocity": "4", "temperature": "-2", "current": "1", "bfield": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,gas_constant,mass,permittivity,temperature,velocity | m·v·Θ·i·ε·c_n·R | chemistry,em,mechanics,thermo | m²·v¹⁰·Θ·i⁻⁶·ε³·c_n·R | Θ = k₀ · m⁻²·v⁻¹⁰·i⁶·ε⁻³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 10 | 24 | 23.2 | -14.7 | false | {"mass": "2", "velocity": "10", "temperature": "1", "current": "-6", "permittivity": "3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,current,gas_constant,mass,permeability,temperature,velocity | m·v·Θ·i·μ₀·c_n·R | chemistry,em,mechanics,thermo | m²·v⁴·Θ·i⁻⁶·μ₀⁻³·c_n·R | Θ = k₀ · m⁻²·v⁻⁴·i⁶·μ₀³·c_n⁻¹·R⁻¹ | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "2", "velocity": "4", "temperature": "1", "current": "-6", "permeability": "-3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,current,elem_charge,gas_constant,mass,temperature,velocity | m·v·Θ·i·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·v⁻¹·Θ⁻¹·i³·c_n⁻¹·R⁻¹·e⁻³ | m = k₀ · v·Θ·i⁻³·c_n·R·e³ | null | 1 | 5 | 3 | 11 | 11.2 | -3.2 | false | {"mass": "1", "velocity": "-1", "temperature": "-1", "current": "3", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-3"} |
7 | cat_activity,current,elem_charge,gas_constant,mass,temperature,velocity | m·v·Θ·i·R·z·e | chemistry,constants,em,mechanics,thermo | m·v²·Θ⁻¹·i·R⁻¹·z⁻¹·e⁻¹ | m = k₀ · v⁻²·Θ·i⁻¹·R·z·e | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "current": "1", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-1"} |
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