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 | cat_activity,charge,conductivity,expansion,gas_constant,mass,velocity | m·v·β·q·σ·R·z | chemistry,em,mechanics,thermo | m³·v⁷·β²·q⁻²·σ·R⁻²·z⁻² | σ = k₀ · m⁻³·v⁻⁷·β⁻²·q²·R²·z² | null | 0 | 4 | 7 | 19 | 18.2 | -9.7 | false | {"mass": "3", "velocity": "7", "expansion": "2", "charge": "-2", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | charge,concentration,expansion,gas_constant,mass,resistivity,velocity | m·v·β·q·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m⁵·v⁷·β²·q⁻⁶·ρ_e⁻³·c_n⁻²·R⁻² | β = k₀ · m⁻⁵ᐟ²·v⁻⁷ᐟ²·q³·ρ_e³ᐟ²·c_n·R | null | 0 | 4 | 7 | 27 | 23.8 | -15.3 | false | {"mass": "5", "velocity": "7", "expansion": "2", "charge": "-6", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,charge,expansion,gas_constant,mass,resistivity,velocity | m·v·β·q·ρ_e·R·z | chemistry,em,mechanics,thermo | m³·v⁷·β²·q⁻²·ρ_e⁻¹·R⁻²·z⁻² | ρ_e = k₀ · m³·v⁷·β²·q⁻²·R⁻²·z⁻² | null | 0 | 4 | 7 | 19 | 18.2 | -9.7 | false | {"mass": "3", "velocity": "7", "expansion": "2", "charge": "-2", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,expansion,gas_constant,mass,velocity,voltage | m·v·β·i·U·c_n·R | chemistry,em,mechanics,thermo | m²·v⁷·β⁻¹·i⁻³·U⁻³·c_n·R | β = k₀ · m²·v⁷·i⁻³·U⁻³·c_n·R | null | 0 | 4 | 7 | 18 | 17.5 | -9 | false | {"mass": "2", "velocity": "7", "expansion": "-1", "current": "-3", "voltage": "-3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,current,expansion,gas_constant,mass,resistance,velocity | m·v·β·i·R·c_n·R | chemistry,em,mechanics,thermo | m²·v⁷·β⁻¹·i⁻⁶·R⁻³·c_n·R | β = k₀ · m²·v⁷·i⁻⁶·R⁻³·c_n·R | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "2", "velocity": "7", "expansion": "-1", "current": "-6", "resistance": "-3", "concentration": "1", "gas_constant": "1"} |
7 | capacitance,concentration,current,expansion,gas_constant,mass,velocity | m·v·β·i·C_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁸·β⁻²·i⁻⁶·C_e³·c_n²·R² | m = k₀ · v⁻⁸·β²·i⁶·C_e⁻³·c_n⁻²·R⁻² | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "velocity": "8", "expansion": "-2", "current": "-6", "capacitance": "3", "concentration": "2", "gas_constant": "2"} |
7 | capacitance,cat_activity,current,expansion,gas_constant,mass,velocity | m·v·β·i·C_e·R·z | chemistry,em,mechanics,thermo | m·v²·β²·i²·C_e⁻¹·R⁻²·z⁻² | m = k₀ · v⁻²·β⁻²·i⁻²·C_e·R²·z² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "expansion": "2", "current": "2", "capacitance": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,efield,expansion,gas_constant,mass,velocity | m·v·β·i·E_f·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·β⁻²·i⁻³·E_f⁻³·c_n²·R² | m = k₀ · v⁻⁵·β²·i³·E_f³·c_n⁻²·R⁻² | null | 0 | 4 | 5 | 18 | 16.5 | -8 | false | {"mass": "1", "velocity": "5", "expansion": "-2", "current": "-3", "efield": "-3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,current,efield,expansion,gas_constant,mass,velocity | m·v·β·i·E_f·R·z | chemistry,em,mechanics,thermo | m·v³·β²·i·E_f·R⁻²·z⁻² | m = k₀ · v⁻³·β⁻²·i⁻¹·E_f⁻¹·R²·z² | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "3", "expansion": "2", "current": "1", "efield": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | bfield,concentration,current,expansion,gas_constant,mass,velocity | m·v·β·i·B·c_n·R | chemistry,em,mechanics,thermo | m·v²·β⁻²·i⁻³·B⁻³·c_n²·R² | m = k₀ · v⁻²·β²·i³·B³·c_n⁻²·R⁻² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "velocity": "2", "expansion": "-2", "current": "-3", "bfield": "-3", "concentration": "2", "gas_constant": "2"} |
7 | bfield,cat_activity,current,expansion,gas_constant,mass,velocity | m·v·β·i·B·R·z | chemistry,em,mechanics,thermo | m·v⁴·β²·i·B·R⁻²·z⁻² | m = k₀ · v⁻⁴·β⁻²·i⁻¹·B⁻¹·R²·z² | null | 0 | 4 | 4 | 13 | 12.5 | -4 | false | {"mass": "1", "velocity": "4", "expansion": "2", "current": "1", "bfield": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,expansion,gas_constant,mass,permittivity,velocity | m·v·β·i·ε·c_n·R | chemistry,em,mechanics,thermo | m²·v¹⁰·β⁻¹·i⁻⁶·ε³·c_n·R | β = k₀ · m²·v¹⁰·i⁻⁶·ε³·c_n·R | null | 0 | 4 | 10 | 24 | 23.2 | -14.7 | false | {"mass": "2", "velocity": "10", "expansion": "-1", "current": "-6", "permittivity": "3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,current,expansion,gas_constant,mass,permeability,velocity | m·v·β·i·μ₀·c_n·R | chemistry,em,mechanics,thermo | m²·v⁴·β⁻¹·i⁻⁶·μ₀⁻³·c_n·R | β = k₀ · m²·v⁴·i⁻⁶·μ₀⁻³·c_n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "2", "velocity": "4", "expansion": "-1", "current": "-6", "permeability": "-3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,current,elem_charge,expansion,gas_constant,mass,velocity | m·v·β·i·c_n·R·e | chemistry,constants,em,mechanics,thermo | m·v⁻¹·β·i³·c_n⁻¹·R⁻¹·e⁻³ | m = k₀ · v·β⁻¹·i⁻³·c_n·R·e³ | null | 1 | 5 | 3 | 11 | 11.2 | -3.2 | false | {"mass": "1", "velocity": "-1", "expansion": "1", "current": "3", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-3"} |
7 | cat_activity,current,elem_charge,expansion,gas_constant,mass,velocity | m·v·β·i·R·z·e | chemistry,constants,em,mechanics,thermo | m·v²·β·i·R⁻¹·z⁻¹·e⁻¹ | m = k₀ · v⁻²·β⁻¹·i⁻¹·R·z·e | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "velocity": "2", "expansion": "1", "current": "1", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-1"} |
7 | concentration,expansion,gas_constant,mass,resistance,velocity,voltage | m·v·β·U·R·c_n·R | chemistry,em,mechanics,thermo | m²·v⁷·β⁻¹·U⁻⁶·R³·c_n·R | β = k₀ · m²·v⁷·U⁻⁶·R³·c_n·R | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "2", "velocity": "7", "expansion": "-1", "voltage": "-6", "resistance": "3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,expansion,gas_constant,inductance,mass,velocity,voltage | m·v·β·U·L_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁸·β⁻²·U⁻⁶·L_e³·c_n²·R² | m = k₀ · v⁻⁸·β²·U⁶·L_e⁻³·c_n⁻²·R⁻² | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "velocity": "8", "expansion": "-2", "voltage": "-6", "inductance": "3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,expansion,gas_constant,inductance,mass,velocity,voltage | m·v·β·U·L_e·R·z | chemistry,em,mechanics,thermo | m·v²·β²·U²·L_e⁻¹·R⁻²·z⁻² | m = k₀ · v⁻²·β⁻²·U⁻²·L_e·R²·z² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "expansion": "2", "voltage": "2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,efield,expansion,gas_constant,mass,velocity,voltage | m·v·β·U·E_f·c_n·R | chemistry,em,mechanics,thermo | m·v²·β·U⁻³·E_f³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻²·β⁻¹·U³·E_f⁻³·c_n·R | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "2", "expansion": "1", "voltage": "-3", "efield": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,mass,velocity,voltage | m·v·β·U·E_f·R·z | chemistry,em,mechanics,thermo | m·v³·β·U⁻¹·E_f·R⁻¹·z⁻¹ | m = k₀ · v⁻³·β⁻¹·U·E_f⁻¹·R·z | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "velocity": "3", "expansion": "1", "voltage": "-1", "efield": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | bfield,concentration,expansion,gas_constant,mass,velocity,voltage | m·v·β·U·B·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·β·U⁻³·B³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻⁵·β⁻¹·U³·B⁻³·c_n·R | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "1", "velocity": "5", "expansion": "1", "voltage": "-3", "bfield": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,velocity,voltage | m·v·β·U·B·R·z | chemistry,em,mechanics,thermo | m·v⁴·β·U⁻¹·B·R⁻¹·z⁻¹ | m = k₀ · v⁻⁴·β⁻¹·U·B⁻¹·R·z | null | 0 | 4 | 4 | 10 | 10.4 | -1.9 | false | {"mass": "1", "velocity": "4", "expansion": "1", "voltage": "-1", "bfield": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,velocity,voltage | m·v·β·U·Φ·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β·U³·Φ⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v·β⁻¹·U⁻³·Φ³·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "velocity": "-1", "expansion": "1", "voltage": "3", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,velocity,voltage | m·v·β·U·Φ·R·z | chemistry,em,mechanics,thermo | m·v²·β·U·Φ⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻²·β⁻¹·U⁻¹·Φ·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "expansion": "1", "voltage": "1", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,mass,permittivity,velocity,voltage | m·v·β·U·ε·c_n·R | chemistry,em,mechanics,thermo | m²·v⁴·β⁻¹·U⁻⁶·ε⁻³·c_n·R | β = k₀ · m²·v⁴·U⁻⁶·ε⁻³·c_n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "2", "velocity": "4", "expansion": "-1", "voltage": "-6", "permittivity": "-3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,expansion,gas_constant,mass,permeability,velocity,voltage | m·v·β·U·μ₀·c_n·R | chemistry,em,mechanics,thermo | m²·v¹⁰·β⁻¹·U⁻⁶·μ₀³·c_n·R | β = k₀ · m²·v¹⁰·U⁻⁶·μ₀³·c_n·R | null | 0 | 4 | 10 | 24 | 23.2 | -14.7 | false | {"mass": "2", "velocity": "10", "expansion": "-1", "voltage": "-6", "permeability": "3", "concentration": "1", "gas_constant": "1"} |
7 | concentration,conductivity,expansion,gas_constant,mass,velocity,voltage | m·v·β·U·σ·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·β⁻²·U⁻⁶·σ⁻³·c_n²·R² | m = k₀ · v⁻⁵·β²·U⁶·σ³·c_n⁻²·R⁻² | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "1", "velocity": "5", "expansion": "-2", "voltage": "-6", "conductivity": "-3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,conductivity,expansion,gas_constant,mass,velocity,voltage | m·v·β·U·σ·R·z | chemistry,em,mechanics,thermo | m·v³·β²·U²·σ·R⁻²·z⁻² | m = k₀ · v⁻³·β⁻²·U⁻²·σ⁻¹·R²·z² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "velocity": "3", "expansion": "2", "voltage": "2", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,expansion,gas_constant,mass,resistivity,velocity,voltage | m·v·β·U·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·β⁻²·U⁻⁶·ρ_e³·c_n²·R² | m = k₀ · v⁻⁵·β²·U⁶·ρ_e⁻³·c_n⁻²·R⁻² | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "1", "velocity": "5", "expansion": "-2", "voltage": "-6", "resistivity": "3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,expansion,gas_constant,mass,resistivity,velocity,voltage | m·v·β·U·ρ_e·R·z | chemistry,em,mechanics,thermo | m·v³·β²·U²·ρ_e⁻¹·R⁻²·z⁻² | m = k₀ · v⁻³·β⁻²·U⁻²·ρ_e·R²·z² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "velocity": "3", "expansion": "2", "voltage": "2", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | capacitance,concentration,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·C_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β·R⁻³·C_e⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v·β⁻¹·R³·C_e³·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "velocity": "-1", "expansion": "1", "resistance": "-3", "capacitance": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | capacitance,cat_activity,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·C_e·R·z | chemistry,em,mechanics,thermo | m·v²·β·R⁻¹·C_e⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻²·β⁻¹·R·C_e·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "expansion": "1", "resistance": "-1", "capacitance": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,inductance,mass,resistance,velocity | m·v·β·R·L_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β·R³·L_e⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v·β⁻¹·R⁻³·L_e³·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "velocity": "-1", "expansion": "1", "resistance": "3", "inductance": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,inductance,mass,resistance,velocity | m·v·β·R·L_e·R·z | chemistry,em,mechanics,thermo | m·v²·β·R·L_e⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻²·β⁻¹·R⁻¹·L_e·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "expansion": "1", "resistance": "1", "inductance": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | cat_activity,efield,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·E_f·R·z | chemistry,em,mechanics,thermo | m²·v⁶·β³·R⁻¹·E_f²·R⁻³·z⁻³ | R = k₀ · m²·v⁶·β³·E_f²·R⁻³·z⁻³ | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "2", "velocity": "6", "expansion": "3", "resistance": "-1", "efield": "2", "gas_constant": "-3", "cat_activity": "-3"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·B·R·z | chemistry,em,mechanics,thermo | m²·v⁸·β³·R⁻¹·B²·R⁻³·z⁻³ | R = k₀ · m²·v⁸·β³·B²·R⁻³·z⁻³ | null | 0 | 4 | 8 | 22 | 20.8 | -12.3 | false | {"mass": "2", "velocity": "8", "expansion": "3", "resistance": "-1", "bfield": "2", "gas_constant": "-3", "cat_activity": "-3"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,resistance,velocity | m·v·β·R·Φ·c_n·R | chemistry,em,mechanics,thermo | m⁴·v⁵·β·R³·Φ⁻⁶·c_n⁻¹·R⁻¹ | β = k₀ · m⁻⁴·v⁻⁵·R⁻³·Φ⁶·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "4", "velocity": "5", "expansion": "1", "resistance": "3", "mag_flux": "-6", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,resistance,velocity | m·v·β·R·Φ·R·z | chemistry,em,mechanics,thermo | m²·v⁴·β·R·Φ⁻²·R⁻¹·z⁻¹ | β = k₀ · m⁻²·v⁻⁴·R⁻¹·Φ²·R·z | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "2", "velocity": "4", "expansion": "1", "resistance": "1", "mag_flux": "-2", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,conductivity,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·σ·c_n·R | chemistry,em,mechanics,thermo | m·v²·β·R³·σ³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻²·β⁻¹·R⁻³·σ⁻³·c_n·R | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "2", "expansion": "1", "resistance": "3", "conductivity": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,conductivity,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·σ·R·z | chemistry,em,mechanics,thermo | m·v³·β·R·σ·R⁻¹·z⁻¹ | m = k₀ · v⁻³·β⁻¹·R⁻¹·σ⁻¹·R·z | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "velocity": "3", "expansion": "1", "resistance": "1", "conductivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,mass,resistance,resistivity,velocity | m·v·β·R·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·v²·β·R³·ρ_e⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻²·β⁻¹·R⁻³·ρ_e³·c_n·R | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "2", "expansion": "1", "resistance": "3", "resistivity": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mass,resistance,resistivity,velocity | m·v·β·R·ρ_e·R·z | chemistry,em,mechanics,thermo | m·v³·β·R·ρ_e⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻³·β⁻¹·R⁻¹·ρ_e·R·z | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "velocity": "3", "expansion": "1", "resistance": "1", "resistivity": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,elem_charge,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁴·v⁵·β·R⁻³·c_n⁻¹·R⁻¹·e⁻⁶ | β = k₀ · m⁻⁴·v⁻⁵·R³·c_n·R·e⁶ | null | 1 | 5 | 6 | 21 | 19.7 | -11.7 | false | {"mass": "4", "velocity": "5", "expansion": "1", "resistance": "-3", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-6"} |
7 | cat_activity,elem_charge,expansion,gas_constant,mass,resistance,velocity | m·v·β·R·R·z·e | chemistry,constants,em,mechanics,thermo | m²·v⁴·β·R⁻¹·R⁻¹·z⁻¹·e⁻² | β = k₀ · m⁻²·v⁻⁴·R·R·z·e² | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "2", "velocity": "4", "expansion": "1", "resistance": "-1", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-2"} |
7 | capacitance,concentration,expansion,gas_constant,inductance,mass,velocity | m·v·β·C_e·L_e·c_n·R | chemistry,em,mechanics,thermo | m²·v⁻²·β²·C_e⁻³·L_e⁻³·c_n⁻²·R⁻² | m = k₀ · v·β⁻¹·C_e³ᐟ²·L_e³ᐟ²·c_n·R | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "2", "velocity": "-2", "expansion": "2", "capacitance": "-3", "inductance": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,cat_activity,expansion,gas_constant,inductance,mass,velocity | m·v·β·C_e·L_e·R·z | chemistry,em,mechanics,thermo | m²·v⁴·β²·C_e⁻¹·L_e⁻¹·R⁻²·z⁻² | C_e = k₀ · m²·v⁴·β²·L_e⁻¹·R⁻²·z⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "2", "velocity": "4", "expansion": "2", "capacitance": "-1", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | capacitance,concentration,efield,expansion,gas_constant,mass,velocity | m·v·β·C_e·E_f·c_n·R | chemistry,em,mechanics,thermo | m·v²·β⁻²·C_e⁻³·E_f⁻⁶·c_n²·R² | m = k₀ · v⁻²·β²·C_e³·E_f⁶·c_n⁻²·R⁻² | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "1", "velocity": "2", "expansion": "-2", "capacitance": "-3", "efield": "-6", "concentration": "2", "gas_constant": "2"} |
7 | capacitance,cat_activity,efield,expansion,gas_constant,mass,velocity | m·v·β·C_e·E_f·R·z | chemistry,em,mechanics,thermo | m·v⁴·β²·C_e·E_f²·R⁻²·z⁻² | m = k₀ · v⁻⁴·β⁻²·C_e⁻¹·E_f⁻²·R²·z² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "velocity": "4", "expansion": "2", "capacitance": "1", "efield": "2", "gas_constant": "-2", "cat_activity": "-2"} |
7 | bfield,capacitance,concentration,expansion,gas_constant,mass,velocity | m·v·β·C_e·B·c_n·R | chemistry,em,mechanics,thermo | m·v⁻⁴·β⁻²·C_e⁻³·B⁻⁶·c_n²·R² | m = k₀ · v⁴·β²·C_e³·B⁶·c_n⁻²·R⁻² | null | 0 | 4 | 6 | 20 | 18.4 | -9.9 | false | {"mass": "1", "velocity": "-4", "expansion": "-2", "capacitance": "-3", "bfield": "-6", "concentration": "2", "gas_constant": "2"} |
7 | bfield,capacitance,cat_activity,expansion,gas_constant,mass,velocity | m·v·β·C_e·B·R·z | chemistry,em,mechanics,thermo | m·v⁶·β²·C_e·B²·R⁻²·z⁻² | m = k₀ · v⁻⁶·β⁻²·C_e⁻¹·B⁻²·R²·z² | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "velocity": "6", "expansion": "2", "capacitance": "1", "bfield": "2", "gas_constant": "-2", "cat_activity": "-2"} |
7 | capacitance,concentration,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·C_e·Φ·c_n·R | chemistry,em,mechanics,thermo | m⁵·v⁴·β²·C_e⁻³·Φ⁻⁶·c_n⁻²·R⁻² | β = k₀ · m⁻⁵ᐟ²·v⁻²·C_e³ᐟ²·Φ³·c_n·R | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "5", "velocity": "4", "expansion": "2", "capacitance": "-3", "mag_flux": "-6", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,cat_activity,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·C_e·Φ·R·z | chemistry,em,mechanics,thermo | m³·v⁶·β²·C_e⁻¹·Φ⁻²·R⁻²·z⁻² | C_e = k₀ · m³·v⁶·β²·Φ⁻²·R⁻²·z⁻² | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "velocity": "6", "expansion": "2", "capacitance": "-1", "mag_flux": "-2", "gas_constant": "-2", "cat_activity": "-2"} |
7 | capacitance,concentration,expansion,gas_constant,mass,permittivity,velocity | m·v·β·C_e·ε·c_n·R | chemistry,em,mechanics,thermo | m·v²·β·C_e⁻³·ε³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻²·β⁻¹·C_e³·ε⁻³·c_n·R | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "2", "expansion": "1", "capacitance": "-3", "permittivity": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | capacitance,cat_activity,expansion,gas_constant,mass,permittivity,velocity | m·v·β·C_e·ε·R·z | chemistry,em,mechanics,thermo | m·v³·β·C_e⁻¹·ε·R⁻¹·z⁻¹ | m = k₀ · v⁻³·β⁻¹·C_e·ε⁻¹·R·z | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "velocity": "3", "expansion": "1", "capacitance": "-1", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | capacitance,concentration,expansion,gas_constant,mass,permeability,velocity | m·v·β·C_e·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·v⁻⁴·β·C_e⁻³·μ₀⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v⁴·β⁻¹·C_e³·μ₀³·c_n·R | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "velocity": "-4", "expansion": "1", "capacitance": "-3", "permeability": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | capacitance,cat_activity,expansion,gas_constant,mass,permeability,velocity | m·v·β·C_e·μ₀·R·z | chemistry,em,mechanics,thermo | m·v·β·C_e⁻¹·μ₀⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻¹·β⁻¹·C_e·μ₀·R·z | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "velocity": "1", "expansion": "1", "capacitance": "-1", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | capacitance,concentration,conductivity,expansion,gas_constant,mass,velocity | m·v·β·C_e·σ·c_n·R | chemistry,em,mechanics,thermo | m²·v·β²·C_e⁻³·σ³·c_n⁻²·R⁻² | v = k₀ · m⁻²·β⁻²·C_e³·σ⁻³·c_n²·R² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "2", "velocity": "1", "expansion": "2", "capacitance": "-3", "conductivity": "3", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,cat_activity,conductivity,expansion,gas_constant,mass,velocity | m·v·β·C_e·σ·R·z | chemistry,em,mechanics,thermo | m²·v⁵·β²·C_e⁻¹·σ·R⁻²·z⁻² | C_e = k₀ · m²·v⁵·β²·σ·R⁻²·z⁻² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "2", "velocity": "5", "expansion": "2", "capacitance": "-1", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | capacitance,concentration,expansion,gas_constant,mass,resistivity,velocity | m·v·β·C_e·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m²·v·β²·C_e⁻³·ρ_e⁻³·c_n⁻²·R⁻² | v = k₀ · m⁻²·β⁻²·C_e³·ρ_e³·c_n²·R² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "2", "velocity": "1", "expansion": "2", "capacitance": "-3", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | capacitance,cat_activity,expansion,gas_constant,mass,resistivity,velocity | m·v·β·C_e·ρ_e·R·z | chemistry,em,mechanics,thermo | m²·v⁵·β²·C_e⁻¹·ρ_e⁻¹·R⁻²·z⁻² | C_e = k₀ · m²·v⁵·β²·ρ_e⁻¹·R⁻²·z⁻² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "2", "velocity": "5", "expansion": "2", "capacitance": "-1", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,efield,expansion,gas_constant,inductance,mass,velocity | m·v·β·L_e·E_f·c_n·R | chemistry,em,mechanics,thermo | m·v⁻⁴·β⁴·L_e⁻³·E_f⁶·c_n⁻⁴·R⁻⁴ | m = k₀ · v⁴·β⁻⁴·L_e³·E_f⁻⁶·c_n⁴·R⁴ | null | 0 | 4 | 6 | 26 | 22.6 | -14.1 | false | {"mass": "1", "velocity": "-4", "expansion": "4", "inductance": "-3", "efield": "6", "concentration": "-4", "gas_constant": "-4"} |
7 | cat_activity,efield,expansion,gas_constant,inductance,mass,velocity | m·v·β·L_e·E_f·R·z | chemistry,em,mechanics,thermo | m³·v⁸·β⁴·L_e⁻¹·E_f²·R⁻⁴·z⁻⁴ | L_e = k₀ · m³·v⁸·β⁴·E_f²·R⁻⁴·z⁻⁴ | null | 0 | 4 | 8 | 26 | 23.6 | -15.1 | false | {"mass": "3", "velocity": "8", "expansion": "4", "inductance": "-1", "efield": "2", "gas_constant": "-4", "cat_activity": "-4"} |
7 | bfield,concentration,expansion,gas_constant,inductance,mass,velocity | m·v·β·L_e·B·c_n·R | chemistry,em,mechanics,thermo | m·v²·β⁴·L_e⁻³·B⁶·c_n⁻⁴·R⁻⁴ | m = k₀ · v⁻²·β⁻⁴·L_e³·B⁻⁶·c_n⁴·R⁴ | null | 0 | 4 | 6 | 24 | 21.2 | -12.7 | false | {"mass": "1", "velocity": "2", "expansion": "4", "inductance": "-3", "bfield": "6", "concentration": "-4", "gas_constant": "-4"} |
7 | bfield,cat_activity,expansion,gas_constant,inductance,mass,velocity | m·v·β·L_e·B·R·z | chemistry,em,mechanics,thermo | m³·v¹⁰·β⁴·L_e⁻¹·B²·R⁻⁴·z⁻⁴ | L_e = k₀ · m³·v¹⁰·β⁴·B²·R⁻⁴·z⁻⁴ | null | 0 | 4 | 10 | 28 | 26 | -17.5 | false | {"mass": "3", "velocity": "10", "expansion": "4", "inductance": "-1", "bfield": "2", "gas_constant": "-4", "cat_activity": "-4"} |
7 | concentration,expansion,gas_constant,inductance,mass,permittivity,velocity | m·v·β·L_e·ε·c_n·R | chemistry,em,mechanics,thermo | m·v⁻⁴·β·L_e⁻³·ε⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v⁴·β⁻¹·L_e³·ε³·c_n·R | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "velocity": "-4", "expansion": "1", "inductance": "-3", "permittivity": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,inductance,mass,permittivity,velocity | m·v·β·L_e·ε·R·z | chemistry,em,mechanics,thermo | m·v·β·L_e⁻¹·ε⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻¹·β⁻¹·L_e·ε·R·z | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "velocity": "1", "expansion": "1", "inductance": "-1", "permittivity": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,inductance,mass,permeability,velocity | m·v·β·L_e·μ₀·c_n·R | chemistry,em,mechanics,thermo | m·v²·β·L_e⁻³·μ₀³·c_n⁻¹·R⁻¹ | m = k₀ · v⁻²·β⁻¹·L_e³·μ₀⁻³·c_n·R | null | 0 | 4 | 3 | 12 | 11.3 | -2.8 | false | {"mass": "1", "velocity": "2", "expansion": "1", "inductance": "-3", "permeability": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,inductance,mass,permeability,velocity | m·v·β·L_e·μ₀·R·z | chemistry,em,mechanics,thermo | m·v³·β·L_e⁻¹·μ₀·R⁻¹·z⁻¹ | m = k₀ · v⁻³·β⁻¹·L_e·μ₀⁻¹·R·z | null | 0 | 4 | 3 | 9 | 9.2 | -0.7 | false | {"mass": "1", "velocity": "3", "expansion": "1", "inductance": "-1", "permeability": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,elem_charge,expansion,gas_constant,inductance,mass,velocity | m·v·β·L_e·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁵·v⁴·β²·L_e⁻³·c_n⁻²·R⁻²·e⁻⁶ | β = k₀ · m⁻⁵ᐟ²·v⁻²·L_e³ᐟ²·c_n·R·e³ | null | 1 | 5 | 6 | 24 | 21.8 | -13.8 | false | {"mass": "5", "velocity": "4", "expansion": "2", "inductance": "-3", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-6"} |
7 | cat_activity,elem_charge,expansion,gas_constant,inductance,mass,velocity | m·v·β·L_e·R·z·e | chemistry,constants,em,mechanics,thermo | m³·v⁶·β²·L_e⁻¹·R⁻²·z⁻²·e⁻² | L_e = k₀ · m³·v⁶·β²·R⁻²·z⁻²·e⁻² | null | 1 | 5 | 6 | 18 | 17.6 | -9.6 | false | {"mass": "3", "velocity": "6", "expansion": "2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2", "elem_charge": "-2"} |
7 | concentration,efield,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·E_f·Φ·c_n·R | chemistry,em,mechanics,thermo | m²·v·β²·E_f³·Φ⁻³·c_n⁻²·R⁻² | v = k₀ · m⁻²·β⁻²·E_f⁻³·Φ³·c_n²·R² | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "2", "velocity": "1", "expansion": "2", "efield": "3", "mag_flux": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,efield,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·E_f·Φ·R·z | chemistry,em,mechanics,thermo | m²·v⁵·β²·E_f·Φ⁻¹·R⁻²·z⁻² | E_f = k₀ · m⁻²·v⁻⁵·β⁻²·Φ·R²·z² | null | 0 | 4 | 5 | 15 | 14.4 | -5.9 | false | {"mass": "2", "velocity": "5", "expansion": "2", "efield": "1", "mag_flux": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | cat_activity,efield,expansion,gas_constant,mass,permittivity,velocity | m·v·β·E_f·ε·R·z | chemistry,em,mechanics,thermo | m²·v⁷·β³·E_f²·ε·R⁻³·z⁻³ | ε = k₀ · m⁻²·v⁻⁷·β⁻³·E_f⁻²·R³·z³ | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "2", "velocity": "7", "expansion": "3", "efield": "2", "permittivity": "1", "gas_constant": "-3", "cat_activity": "-3"} |
7 | cat_activity,efield,expansion,gas_constant,mass,permeability,velocity | m·v·β·E_f·μ₀·R·z | chemistry,em,mechanics,thermo | m²·v⁵·β³·E_f²·μ₀⁻¹·R⁻³·z⁻³ | μ₀ = k₀ · m²·v⁵·β³·E_f²·R⁻³·z⁻³ | null | 0 | 4 | 5 | 19 | 17.2 | -8.7 | false | {"mass": "2", "velocity": "5", "expansion": "3", "efield": "2", "permeability": "-1", "gas_constant": "-3", "cat_activity": "-3"} |
7 | concentration,conductivity,efield,expansion,gas_constant,mass,velocity | m·v·β·E_f·σ·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β⁴·E_f⁶·σ³·c_n⁻⁴·R⁻⁴ | m = k₀ · v·β⁻⁴·E_f⁻⁶·σ⁻³·c_n⁴·R⁴ | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "1", "velocity": "-1", "expansion": "4", "efield": "6", "conductivity": "3", "concentration": "-4", "gas_constant": "-4"} |
7 | cat_activity,conductivity,efield,expansion,gas_constant,mass,velocity | m·v·β·E_f·σ·R·z | chemistry,em,mechanics,thermo | m³·v⁹·β⁴·E_f²·σ·R⁻⁴·z⁻⁴ | σ = k₀ · m⁻³·v⁻⁹·β⁻⁴·E_f⁻²·R⁴·z⁴ | null | 0 | 4 | 9 | 27 | 24.8 | -16.3 | false | {"mass": "3", "velocity": "9", "expansion": "4", "efield": "2", "conductivity": "1", "gas_constant": "-4", "cat_activity": "-4"} |
7 | concentration,efield,expansion,gas_constant,mass,resistivity,velocity | m·v·β·E_f·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β⁴·E_f⁶·ρ_e⁻³·c_n⁻⁴·R⁻⁴ | m = k₀ · v·β⁻⁴·E_f⁻⁶·ρ_e³·c_n⁴·R⁴ | null | 0 | 4 | 6 | 23 | 20.5 | -12 | false | {"mass": "1", "velocity": "-1", "expansion": "4", "efield": "6", "resistivity": "-3", "concentration": "-4", "gas_constant": "-4"} |
7 | cat_activity,efield,expansion,gas_constant,mass,resistivity,velocity | m·v·β·E_f·ρ_e·R·z | chemistry,em,mechanics,thermo | m³·v⁹·β⁴·E_f²·ρ_e⁻¹·R⁻⁴·z⁻⁴ | ρ_e = k₀ · m³·v⁹·β⁴·E_f²·R⁻⁴·z⁻⁴ | null | 0 | 4 | 9 | 27 | 24.8 | -16.3 | false | {"mass": "3", "velocity": "9", "expansion": "4", "efield": "2", "resistivity": "-1", "gas_constant": "-4", "cat_activity": "-4"} |
7 | concentration,efield,elem_charge,expansion,gas_constant,mass,velocity | m·v·β·E_f·c_n·R·e | chemistry,constants,em,mechanics,thermo | m²·v⁴·β⁻¹·E_f⁻³·c_n·R·e⁻³ | β = k₀ · m²·v⁴·E_f⁻³·c_n·R·e⁻³ | null | 1 | 5 | 4 | 15 | 14.5 | -6.5 | false | {"mass": "2", "velocity": "4", "expansion": "-1", "efield": "-3", "concentration": "1", "gas_constant": "1", "elem_charge": "-3"} |
7 | bfield,concentration,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·B·Φ·c_n·R | chemistry,em,mechanics,thermo | m²·v⁴·β²·B³·Φ⁻³·c_n⁻²·R⁻² | m = k₀ · v⁻²·β⁻¹·B⁻³ᐟ²·Φ³ᐟ²·c_n·R | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "2", "velocity": "4", "expansion": "2", "bfield": "3", "mag_flux": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | bfield,cat_activity,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·B·Φ·R·z | chemistry,em,mechanics,thermo | m²·v⁶·β²·B·Φ⁻¹·R⁻²·z⁻² | B = k₀ · m⁻²·v⁻⁶·β⁻²·Φ·R²·z² | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "2", "velocity": "6", "expansion": "2", "bfield": "1", "mag_flux": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,permittivity,velocity | m·v·β·B·ε·R·z | chemistry,em,mechanics,thermo | m²·v⁹·β³·B²·ε·R⁻³·z⁻³ | ε = k₀ · m⁻²·v⁻⁹·β⁻³·B⁻²·R³·z³ | null | 0 | 4 | 9 | 23 | 22 | -13.5 | false | {"mass": "2", "velocity": "9", "expansion": "3", "bfield": "2", "permittivity": "1", "gas_constant": "-3", "cat_activity": "-3"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,permeability,velocity | m·v·β·B·μ₀·R·z | chemistry,em,mechanics,thermo | m²·v⁷·β³·B²·μ₀⁻¹·R⁻³·z⁻³ | μ₀ = k₀ · m²·v⁷·β³·B²·R⁻³·z⁻³ | null | 0 | 4 | 7 | 21 | 19.6 | -11.1 | false | {"mass": "2", "velocity": "7", "expansion": "3", "bfield": "2", "permeability": "-1", "gas_constant": "-3", "cat_activity": "-3"} |
7 | bfield,concentration,conductivity,expansion,gas_constant,mass,velocity | m·v·β·B·σ·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·β⁴·B⁶·σ³·c_n⁻⁴·R⁻⁴ | m = k₀ · v⁻⁵·β⁻⁴·B⁻⁶·σ⁻³·c_n⁴·R⁴ | null | 0 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "1", "velocity": "5", "expansion": "4", "bfield": "6", "conductivity": "3", "concentration": "-4", "gas_constant": "-4"} |
7 | bfield,cat_activity,conductivity,expansion,gas_constant,mass,velocity | m·v·β·B·σ·R·z | chemistry,em,mechanics,thermo | m³·v¹¹·β⁴·B²·σ·R⁻⁴·z⁻⁴ | σ = k₀ · m⁻³·v⁻¹¹·β⁻⁴·B⁻²·R⁴·z⁴ | null | 0 | 4 | 11 | 29 | 27.2 | -18.7 | false | {"mass": "3", "velocity": "11", "expansion": "4", "bfield": "2", "conductivity": "1", "gas_constant": "-4", "cat_activity": "-4"} |
7 | bfield,concentration,expansion,gas_constant,mass,resistivity,velocity | m·v·β·B·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁵·β⁴·B⁶·ρ_e⁻³·c_n⁻⁴·R⁻⁴ | m = k₀ · v⁻⁵·β⁻⁴·B⁻⁶·ρ_e³·c_n⁴·R⁴ | null | 0 | 4 | 6 | 27 | 23.3 | -14.8 | false | {"mass": "1", "velocity": "5", "expansion": "4", "bfield": "6", "resistivity": "-3", "concentration": "-4", "gas_constant": "-4"} |
7 | bfield,cat_activity,expansion,gas_constant,mass,resistivity,velocity | m·v·β·B·ρ_e·R·z | chemistry,em,mechanics,thermo | m³·v¹¹·β⁴·B²·ρ_e⁻¹·R⁻⁴·z⁻⁴ | ρ_e = k₀ · m³·v¹¹·β⁴·B²·R⁻⁴·z⁻⁴ | null | 0 | 4 | 11 | 29 | 27.2 | -18.7 | false | {"mass": "3", "velocity": "11", "expansion": "4", "bfield": "2", "resistivity": "-1", "gas_constant": "-4", "cat_activity": "-4"} |
7 | bfield,concentration,elem_charge,expansion,gas_constant,mass,velocity | m·v·β·B·c_n·R·e | chemistry,constants,em,mechanics,thermo | m²·v·β⁻¹·B⁻³·c_n·R·e⁻³ | v = k₀ · m⁻²·β·B³·c_n⁻¹·R⁻¹·e³ | null | 1 | 5 | 3 | 12 | 11.9 | -3.9 | false | {"mass": "2", "velocity": "1", "expansion": "-1", "bfield": "-3", "concentration": "1", "gas_constant": "1", "elem_charge": "-3"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,permittivity,velocity | m·v·β·Φ·ε·c_n·R | chemistry,em,mechanics,thermo | m⁴·v²·β·Φ⁻⁶·ε⁻³·c_n⁻¹·R⁻¹ | β = k₀ · m⁻⁴·v⁻²·Φ⁶·ε³·c_n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "4", "velocity": "2", "expansion": "1", "mag_flux": "-6", "permittivity": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,permittivity,velocity | m·v·β·Φ·ε·R·z | chemistry,em,mechanics,thermo | m²·v³·β·Φ⁻²·ε⁻¹·R⁻¹·z⁻¹ | β = k₀ · m⁻²·v⁻³·Φ²·ε·R·z | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "2", "velocity": "3", "expansion": "1", "mag_flux": "-2", "permittivity": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,mag_flux,mass,permeability,velocity | m·v·β·Φ·μ₀·c_n·R | chemistry,em,mechanics,thermo | m⁴·v⁸·β·Φ⁻⁶·μ₀³·c_n⁻¹·R⁻¹ | β = k₀ · m⁻⁴·v⁻⁸·Φ⁶·μ₀⁻³·c_n·R | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "4", "velocity": "8", "expansion": "1", "mag_flux": "-6", "permeability": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mag_flux,mass,permeability,velocity | m·v·β·Φ·μ₀·R·z | chemistry,em,mechanics,thermo | m²·v⁵·β·Φ⁻²·μ₀·R⁻¹·z⁻¹ | β = k₀ · m⁻²·v⁻⁵·Φ²·μ₀⁻¹·R·z | null | 0 | 4 | 5 | 13 | 13 | -4.5 | false | {"mass": "2", "velocity": "5", "expansion": "1", "mag_flux": "-2", "permeability": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,elem_charge,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·Φ·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁴·v⁵·β·Φ⁻³·c_n⁻¹·R⁻¹·e⁻³ | β = k₀ · m⁻⁴·v⁻⁵·Φ³·c_n·R·e³ | null | 1 | 5 | 5 | 18 | 17.1 | -9.1 | false | {"mass": "4", "velocity": "5", "expansion": "1", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-3"} |
7 | cat_activity,elem_charge,expansion,gas_constant,mag_flux,mass,velocity | m·v·β·Φ·R·z·e | chemistry,constants,em,mechanics,thermo | m²·v⁴·β·Φ⁻¹·R⁻¹·z⁻¹·e⁻¹ | β = k₀ · m⁻²·v⁻⁴·Φ·R·z·e | null | 1 | 5 | 4 | 11 | 11.7 | -3.7 | false | {"mass": "2", "velocity": "4", "expansion": "1", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-1"} |
7 | concentration,conductivity,expansion,gas_constant,mass,permittivity,velocity | m·v·β·ε·σ·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β·ε⁻³·σ³·c_n⁻¹·R⁻¹ | m = k₀ · v·β⁻¹·ε³·σ⁻³·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "velocity": "-1", "expansion": "1", "permittivity": "-3", "conductivity": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,conductivity,expansion,gas_constant,mass,permittivity,velocity | m·v·β·ε·σ·R·z | chemistry,em,mechanics,thermo | m·v²·β·ε⁻¹·σ·R⁻¹·z⁻¹ | m = k₀ · v⁻²·β⁻¹·ε·σ⁻¹·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "expansion": "1", "permittivity": "-1", "conductivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,expansion,gas_constant,mass,permittivity,resistivity,velocity | m·v·β·ε·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m·v⁻¹·β·ε⁻³·ρ_e⁻³·c_n⁻¹·R⁻¹ | m = k₀ · v·β⁻¹·ε³·ρ_e³·c_n·R | null | 0 | 4 | 3 | 11 | 10.6 | -2.1 | false | {"mass": "1", "velocity": "-1", "expansion": "1", "permittivity": "-3", "resistivity": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,expansion,gas_constant,mass,permittivity,resistivity,velocity | m·v·β·ε·ρ_e·R·z | chemistry,em,mechanics,thermo | m·v²·β·ε⁻¹·ρ_e⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻²·β⁻¹·ε·ρ_e·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "expansion": "1", "permittivity": "-1", "resistivity": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | concentration,elem_charge,expansion,gas_constant,mass,permittivity,velocity | m·v·β·ε·c_n·R·e | chemistry,constants,em,mechanics,thermo | m⁴·v⁸·β·ε³·c_n⁻¹·R⁻¹·e⁻⁶ | β = k₀ · m⁻⁴·v⁻⁸·ε⁻³·c_n·R·e⁶ | null | 1 | 5 | 8 | 24 | 22.8 | -14.8 | false | {"mass": "4", "velocity": "8", "expansion": "1", "permittivity": "3", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-6"} |
7 | cat_activity,elem_charge,expansion,gas_constant,mass,permittivity,velocity | m·v·β·ε·R·z·e | chemistry,constants,em,mechanics,thermo | m²·v⁵·β·ε·R⁻¹·z⁻¹·e⁻² | β = k₀ · m⁻²·v⁻⁵·ε⁻¹·R·z·e² | null | 1 | 5 | 5 | 13 | 13.6 | -5.6 | false | {"mass": "2", "velocity": "5", "expansion": "1", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1", "elem_charge": "-2"} |
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