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 | entropy,length,mass,permittivity,thermal_cond,voltage | m·ℓ·S_e·κ·U·ε | em,mechanics,thermo | m·ℓ³·S_e⁻²·κ²·U⁻²·ε⁻¹ | m = k₀ · ℓ⁻³·S_e²·κ⁻²·U²·ε | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "entropy": "-2", "thermal_cond": "2", "voltage": "-2", "permittivity": "-1"} |
6 | entropy,length,mass,permeability,thermal_cond,voltage | m·ℓ·S_e·κ·U·μ₀ | em,mechanics,thermo | m·ℓ⁷·S_e⁻⁴·κ⁴·U⁻²·μ₀ | m = k₀ · ℓ⁻⁷·S_e⁴·κ⁻⁴·U²·μ₀⁻¹ | null | 0 | 3 | 7 | 19 | 17.3 | -8.3 | false | {"mass": "1", "length": "7", "entropy": "-4", "thermal_cond": "4", "voltage": "-2", "permeability": "1"} |
6 | conductivity,entropy,length,mass,thermal_cond,voltage | m·ℓ·S_e·κ·U·σ | em,mechanics,thermo | m·ℓ⁴·S_e⁻³·κ³·U⁻²·σ⁻¹ | m = k₀ · ℓ⁻⁴·S_e³·κ⁻³·U²·σ | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "1", "length": "4", "entropy": "-3", "thermal_cond": "3", "voltage": "-2", "conductivity": "-1"} |
6 | entropy,length,mass,resistivity,thermal_cond,voltage | m·ℓ·S_e·κ·U·ρ_e | em,mechanics,thermo | m·ℓ⁴·S_e⁻³·κ³·U⁻²·ρ_e | m = k₀ · ℓ⁻⁴·S_e³·κ⁻³·U²·ρ_e⁻¹ | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "1", "length": "4", "entropy": "-3", "thermal_cond": "3", "voltage": "-2", "resistivity": "1"} |
6 | elem_charge,entropy,length,mass,thermal_cond,voltage | m·ℓ·S_e·κ·U·e | constants,em,mechanics,thermo | m·ℓ⁴·S_e⁻²·κ²·U⁻¹·e⁻¹ | m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·U·e | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "voltage": "-1", "elem_charge": "-1"} |
6 | efield,entropy,length,mass,resistance,thermal_cond | m·ℓ·S_e·κ·R·E_f | em,mechanics,thermo | m·ℓ³·S_e⁻³·κ³·R·E_f⁻² | m = k₀ · ℓ⁻³·S_e³·κ⁻³·R⁻¹·E_f² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "3", "entropy": "-3", "thermal_cond": "3", "resistance": "1", "efield": "-2"} |
6 | bfield,entropy,length,mass,resistance,thermal_cond | m·ℓ·S_e·κ·R·B | em,mechanics,thermo | m·ℓ⁻¹·S_e⁻¹·κ·R·B⁻² | m = k₀ · ℓ·S_e·κ⁻¹·R⁻¹·B² | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-1", "entropy": "-1", "thermal_cond": "1", "resistance": "1", "bfield": "-2"} |
6 | entropy,length,mag_flux,mass,resistance,thermal_cond | m·ℓ·S_e·κ·R·Φ | em,mechanics,thermo | m·ℓ³·S_e⁻¹·κ·R·Φ⁻² | m = k₀ · ℓ⁻³·S_e·κ⁻¹·R⁻¹·Φ² | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "3", "entropy": "-1", "thermal_cond": "1", "resistance": "1", "mag_flux": "-2"} |
6 | elem_charge,entropy,length,mass,resistance,thermal_cond | m·ℓ·S_e·κ·R·e | constants,em,mechanics,thermo | m·ℓ³·S_e⁻¹·κ·R⁻¹·e⁻² | m = k₀ · ℓ⁻³·S_e·κ⁻¹·R·e² | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "length": "3", "entropy": "-1", "thermal_cond": "1", "resistance": "-1", "elem_charge": "-2"} |
6 | capacitance,efield,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·C_e·E_f | em,mechanics,thermo | m·ℓ²·S_e⁻²·κ²·C_e⁻¹·E_f⁻² | m = k₀ · ℓ⁻²·S_e²·κ⁻²·C_e·E_f² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "entropy": "-2", "thermal_cond": "2", "capacitance": "-1", "efield": "-2"} |
6 | capacitance,elem_charge,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·C_e·e | constants,em,mechanics,thermo | m·ℓ⁴·S_e⁻²·κ²·C_e·e⁻² | m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·C_e⁻¹·e² | null | 1 | 4 | 4 | 12 | 11.5 | -3 | false | {"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "capacitance": "1", "elem_charge": "-2"} |
6 | efield,entropy,inductance,length,mass,thermal_cond | m·ℓ·S_e·κ·L_e·E_f | em,mechanics,thermo | m·ℓ⁴·S_e⁻⁴·κ⁴·L_e·E_f⁻² | m = k₀ · ℓ⁻⁴·S_e⁴·κ⁻⁴·L_e⁻¹·E_f² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "1", "length": "4", "entropy": "-4", "thermal_cond": "4", "inductance": "1", "efield": "-2"} |
6 | entropy,inductance,length,mag_flux,mass,thermal_cond | m·ℓ·S_e·κ·L_e·Φ | em,mechanics,thermo | m·ℓ⁴·S_e⁻²·κ²·L_e·Φ⁻² | m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·L_e⁻¹·Φ² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "inductance": "1", "mag_flux": "-2"} |
6 | efield,entropy,length,mass,permittivity,thermal_cond | m·ℓ·S_e·κ·E_f·ε | em,mechanics,thermo | m·ℓ·S_e⁻²·κ²·E_f⁻²·ε⁻¹ | m = k₀ · ℓ⁻¹·S_e²·κ⁻²·E_f²·ε | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "entropy": "-2", "thermal_cond": "2", "efield": "-2", "permittivity": "-1"} |
6 | efield,entropy,length,mass,permeability,thermal_cond | m·ℓ·S_e·κ·E_f·μ₀ | em,mechanics,thermo | m·ℓ⁵·S_e⁻⁴·κ⁴·E_f⁻²·μ₀ | m = k₀ · ℓ⁻⁵·S_e⁴·κ⁻⁴·E_f²·μ₀⁻¹ | null | 0 | 3 | 5 | 17 | 14.9 | -5.9 | false | {"mass": "1", "length": "5", "entropy": "-4", "thermal_cond": "4", "efield": "-2", "permeability": "1"} |
6 | conductivity,efield,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·E_f·σ | em,mechanics,thermo | m·ℓ²·S_e⁻³·κ³·E_f⁻²·σ⁻¹ | m = k₀ · ℓ⁻²·S_e³·κ⁻³·E_f²·σ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "length": "2", "entropy": "-3", "thermal_cond": "3", "efield": "-2", "conductivity": "-1"} |
6 | efield,entropy,length,mass,resistivity,thermal_cond | m·ℓ·S_e·κ·E_f·ρ_e | em,mechanics,thermo | m·ℓ²·S_e⁻³·κ³·E_f⁻²·ρ_e | m = k₀ · ℓ⁻²·S_e³·κ⁻³·E_f²·ρ_e⁻¹ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "length": "2", "entropy": "-3", "thermal_cond": "3", "efield": "-2", "resistivity": "1"} |
6 | efield,elem_charge,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·E_f·e | constants,em,mechanics,thermo | m·ℓ³·S_e⁻²·κ²·E_f⁻¹·e⁻¹ | m = k₀ · ℓ⁻³·S_e²·κ⁻²·E_f·e | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "length": "3", "entropy": "-2", "thermal_cond": "2", "efield": "-1", "elem_charge": "-1"} |
6 | bfield,entropy,length,mass,permeability,thermal_cond | m·ℓ·S_e·κ·B·μ₀ | em,mechanics,thermo | m·ℓ·S_e⁻²·κ²·B⁻²·μ₀ | m = k₀ · ℓ⁻¹·S_e²·κ⁻²·B²·μ₀⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "entropy": "-2", "thermal_cond": "2", "bfield": "-2", "permeability": "1"} |
6 | bfield,conductivity,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·B·σ | em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·κ·B⁻²·σ⁻¹ | m = k₀ · ℓ²·S_e·κ⁻¹·B²·σ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "entropy": "-1", "thermal_cond": "1", "bfield": "-2", "conductivity": "-1"} |
6 | bfield,entropy,length,mass,resistivity,thermal_cond | m·ℓ·S_e·κ·B·ρ_e | em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·κ·B⁻²·ρ_e | m = k₀ · ℓ²·S_e·κ⁻¹·B²·ρ_e⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "entropy": "-1", "thermal_cond": "1", "bfield": "-2", "resistivity": "1"} |
6 | bfield,elem_charge,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·B·e | constants,em,mechanics,thermo | m·ℓ·S_e⁻¹·κ·B⁻¹·e⁻¹ | m = k₀ · ℓ⁻¹·S_e·κ⁻¹·B·e | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "1", "entropy": "-1", "thermal_cond": "1", "bfield": "-1", "elem_charge": "-1"} |
6 | entropy,length,mag_flux,mass,permeability,thermal_cond | m·ℓ·S_e·κ·Φ·μ₀ | em,mechanics,thermo | m·ℓ⁵·S_e⁻²·κ²·Φ⁻²·μ₀ | m = k₀ · ℓ⁻⁵·S_e²·κ⁻²·Φ²·μ₀⁻¹ | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "1", "length": "5", "entropy": "-2", "thermal_cond": "2", "mag_flux": "-2", "permeability": "1"} |
6 | conductivity,entropy,length,mag_flux,mass,thermal_cond | m·ℓ·S_e·κ·Φ·σ | em,mechanics,thermo | m·ℓ²·S_e⁻¹·κ·Φ⁻²·σ⁻¹ | m = k₀ · ℓ⁻²·S_e·κ⁻¹·Φ²·σ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "thermal_cond": "1", "mag_flux": "-2", "conductivity": "-1"} |
6 | entropy,length,mag_flux,mass,resistivity,thermal_cond | m·ℓ·S_e·κ·Φ·ρ_e | em,mechanics,thermo | m·ℓ²·S_e⁻¹·κ·Φ⁻²·ρ_e | m = k₀ · ℓ⁻²·S_e·κ⁻¹·Φ²·ρ_e⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "thermal_cond": "1", "mag_flux": "-2", "resistivity": "1"} |
6 | elem_charge,entropy,length,mag_flux,mass,thermal_cond | m·ℓ·S_e·κ·Φ·e | constants,em,mechanics,thermo | m·ℓ³·S_e⁻¹·κ·Φ⁻¹·e⁻¹ | m = k₀ · ℓ⁻³·S_e·κ⁻¹·Φ·e | null | 1 | 4 | 3 | 8 | 8.2 | 0.3 | false | {"mass": "1", "length": "3", "entropy": "-1", "thermal_cond": "1", "mag_flux": "-1", "elem_charge": "-1"} |
6 | elem_charge,entropy,length,mass,permittivity,thermal_cond | m·ℓ·S_e·κ·ε·e | constants,em,mechanics,thermo | m·ℓ⁵·S_e⁻²·κ²·ε·e⁻² | m = k₀ · ℓ⁻⁵·S_e²·κ⁻²·ε⁻¹·e² | null | 1 | 4 | 5 | 13 | 12.7 | -4.2 | false | {"mass": "1", "length": "5", "entropy": "-2", "thermal_cond": "2", "permittivity": "1", "elem_charge": "-2"} |
6 | conductivity,elem_charge,entropy,length,mass,thermal_cond | m·ℓ·S_e·κ·σ·e | constants,em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·κ·σ·e⁻² | m = k₀ · ℓ⁻⁴·S_e·κ⁻¹·σ⁻¹·e² | null | 1 | 4 | 4 | 10 | 10.1 | -1.6 | false | {"mass": "1", "length": "4", "entropy": "-1", "thermal_cond": "1", "conductivity": "1", "elem_charge": "-2"} |
6 | elem_charge,entropy,length,mass,resistivity,thermal_cond | m·ℓ·S_e·κ·ρ_e·e | constants,em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·κ·ρ_e⁻¹·e⁻² | m = k₀ · ℓ⁻⁴·S_e·κ⁻¹·ρ_e·e² | null | 1 | 4 | 4 | 10 | 10.1 | -1.6 | false | {"mass": "1", "length": "4", "entropy": "-1", "thermal_cond": "1", "resistivity": "-1", "elem_charge": "-2"} |
6 | amount,entropy,length,mass,molar_energy,thermal_cond | m·ℓ·S_e·κ·n·E_m | chemistry,mechanics,thermo | m·ℓ⁴·S_e⁻²·κ²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·n·E_m | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "amount": "-1", "molar_energy": "-1"} |
6 | cat_activity,entropy,length,mass,molar_mass,thermal_cond | m·ℓ·S_e·κ·M_m·z | chemistry,mechanics,thermo | m·ℓ·S_e⁻¹·κ·M_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻¹·S_e·κ⁻¹·M_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "entropy": "-1", "thermal_cond": "1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,entropy,length,mass,molar_energy,thermal_cond | m·ℓ·S_e·κ·c_n·E_m | chemistry,mechanics,thermo | m·ℓ·S_e⁻²·κ²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻¹·S_e²·κ⁻²·c_n·E_m | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "1", "entropy": "-2", "thermal_cond": "2", "concentration": "-1", "molar_energy": "-1"} |
6 | entropy,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·S_e·κ·E_m·R | chemistry,mechanics,thermo | m·ℓ⁴·S_e⁻³·κ²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·S_e³·κ⁻²·E_m·R⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "4", "entropy": "-3", "thermal_cond": "2", "molar_energy": "-1", "gas_constant": "1"} |
6 | cat_activity,entropy,length,mass,molar_energy,thermal_cond | m·ℓ·S_e·κ·E_m·z | chemistry,mechanics,thermo | m·ℓ⁵·S_e⁻³·κ³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻⁵·S_e³·κ⁻³·E_m·z | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "5", "entropy": "-3", "thermal_cond": "3", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,entropy,length,mass,molar_energy,thermal_cond | m·ℓ·S_e·κ·E_m·N_A | chemistry,constants,mechanics,thermo | m·ℓ⁴·S_e⁻²·κ²·E_m⁻¹·N_A | m = k₀ · ℓ⁻⁴·S_e²·κ⁻²·E_m·N_A⁻¹ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "entropy": "-2", "thermal_cond": "2", "molar_energy": "-1", "avogadro": "1"} |
5 | entropy,grav_const,length,mass,thermal_cond | m·ℓ·S_e·κ·G | constants,mechanics,thermo | m·ℓ⁻⁵·S_e²·κ⁻²·G | m = k₀ · ℓ⁵·S_e⁻²·κ²·G⁻¹ | null | 1 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "-5", "entropy": "2", "thermal_cond": "-2", "grav_const": "1"} |
5 | entropy,length,mass,planck,thermal_cond | m·ℓ·S_e·κ·h | constants,mechanics,thermo | m·ℓ³·S_e⁻¹·κ·h⁻¹ | m = k₀ · ℓ⁻³·S_e·κ⁻¹·h | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "length": "3", "entropy": "-1", "thermal_cond": "1", "planck": "-1"} |
5 | entropy,expansion,length,mass,thermal_diff | m·ℓ·S_e·α·β | mechanics,thermo | m·ℓ⁻²·S_e⁻¹·α²·β | m = k₀ · ℓ²·S_e·α⁻²·β⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "entropy": "-1", "thermal_diff": "2", "expansion": "1"} |
6 | entropy,gas_constant,length,mass,molar_energy,thermal_diff | m·ℓ·S_e·α·E_m·R | chemistry,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·α²·E_m⁻¹·R | m = k₀ · ℓ²·S_e·α⁻²·E_m·R⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "-2", "entropy": "-1", "thermal_diff": "2", "molar_energy": "-1", "gas_constant": "1"} |
6 | charge,current,entropy,expansion,length,mass | m·ℓ·S_e·β·q·i | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·q⁻²·i² | m = k₀ · ℓ⁻²·S_e·β⁻¹·q²·i⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "charge": "-2", "current": "2"} |
6 | charge,entropy,expansion,length,mass,resistance | m·ℓ·S_e·β·q·R | em,mechanics,thermo | m·ℓ²·S_e·β⁻¹·q⁻⁴·R⁻² | m = k₀ · ℓ⁻²·S_e⁻¹·β·q⁴·R² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "entropy": "1", "expansion": "-1", "charge": "-4", "resistance": "-2"} |
6 | bfield,charge,entropy,expansion,length,mass | m·ℓ·S_e·β·q·B | em,mechanics,thermo | m·ℓ⁻²·S_e·β⁻¹·q⁻²·B⁻² | m = k₀ · ℓ²·S_e⁻¹·β·q²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "entropy": "1", "expansion": "-1", "charge": "-2", "bfield": "-2"} |
6 | charge,entropy,expansion,length,mag_flux,mass | m·ℓ·S_e·β·q·Φ | em,mechanics,thermo | m·ℓ²·S_e·β⁻¹·q⁻²·Φ⁻² | m = k₀ · ℓ⁻²·S_e⁻¹·β·q²·Φ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "1", "expansion": "-1", "charge": "-2", "mag_flux": "-2"} |
6 | charge,conductivity,entropy,expansion,length,mass | m·ℓ·S_e·β·q·σ | em,mechanics,thermo | m·ℓ⁴·S_e·β⁻¹·q⁻⁴·σ² | m = k₀ · ℓ⁻⁴·S_e⁻¹·β·q⁴·σ⁻² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "entropy": "1", "expansion": "-1", "charge": "-4", "conductivity": "2"} |
6 | charge,entropy,expansion,length,mass,resistivity | m·ℓ·S_e·β·q·ρ_e | em,mechanics,thermo | m·ℓ⁴·S_e·β⁻¹·q⁻⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁴·S_e⁻¹·β·q⁴·ρ_e² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "entropy": "1", "expansion": "-1", "charge": "-4", "resistivity": "-2"} |
6 | current,entropy,expansion,length,mass,voltage | m·ℓ·S_e·β·i·U | em,mechanics,thermo | m·ℓ²·S_e⁻³·β³·i²·U² | m = k₀ · ℓ⁻²·S_e³·β⁻³·i⁻²·U⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "entropy": "-3", "expansion": "3", "current": "2", "voltage": "2"} |
6 | current,entropy,expansion,length,mass,resistance | m·ℓ·S_e·β·i·R | em,mechanics,thermo | m·ℓ²·S_e⁻³·β³·i⁴·R² | m = k₀ · ℓ⁻²·S_e³·β⁻³·i⁻⁴·R⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "2", "entropy": "-3", "expansion": "3", "current": "4", "resistance": "2"} |
6 | capacitance,current,entropy,expansion,length,mass | m·ℓ·S_e·β·i·C_e | em,mechanics,thermo | m·ℓ²·S_e⁻²·β²·i²·C_e⁻¹ | m = k₀ · ℓ⁻²·S_e²·β⁻²·i⁻²·C_e | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "entropy": "-2", "expansion": "2", "current": "2", "capacitance": "-1"} |
6 | current,efield,entropy,expansion,length,mass | m·ℓ·S_e·β·i·E_f | em,mechanics,thermo | m·ℓ⁴·S_e⁻³·β³·i²·E_f² | m = k₀ · ℓ⁻⁴·S_e³·β⁻³·i⁻²·E_f⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "entropy": "-3", "expansion": "3", "current": "2", "efield": "2"} |
6 | current,entropy,expansion,length,mass,permittivity | m·ℓ·S_e·β·i·ε | em,mechanics,thermo | m·ℓ·S_e⁻²·β²·i²·ε⁻¹ | m = k₀ · ℓ⁻¹·S_e²·β⁻²·i⁻²·ε | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "entropy": "-2", "expansion": "2", "current": "2", "permittivity": "-1"} |
6 | current,elem_charge,entropy,expansion,length,mass | m·ℓ·S_e·β·i·e | constants,em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·i²·e⁻² | m = k₀ · ℓ⁻²·S_e·β⁻¹·i⁻²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "current": "2", "elem_charge": "-2"} |
6 | entropy,expansion,length,mass,resistance,voltage | m·ℓ·S_e·β·U·R | em,mechanics,thermo | m·ℓ²·S_e⁻³·β³·U⁴·R⁻² | m = k₀ · ℓ⁻²·S_e³·β⁻³·U⁻⁴·R² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "2", "entropy": "-3", "expansion": "3", "voltage": "4", "resistance": "-2"} |
6 | entropy,expansion,inductance,length,mass,voltage | m·ℓ·S_e·β·U·L_e | em,mechanics,thermo | m·ℓ²·S_e⁻²·β²·U²·L_e⁻¹ | m = k₀ · ℓ⁻²·S_e²·β⁻²·U⁻²·L_e | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "entropy": "-2", "expansion": "2", "voltage": "2", "inductance": "-1"} |
6 | bfield,entropy,expansion,length,mass,voltage | m·ℓ·S_e·β·U·B | em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·β·U²·B⁻² | m = k₀ · ℓ²·S_e·β⁻¹·U⁻²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "entropy": "-1", "expansion": "1", "voltage": "2", "bfield": "-2"} |
6 | entropy,expansion,length,mag_flux,mass,voltage | m·ℓ·S_e·β·U·Φ | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·U²·Φ⁻² | m = k₀ · ℓ⁻²·S_e·β⁻¹·U⁻²·Φ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "voltage": "2", "mag_flux": "-2"} |
6 | entropy,expansion,length,mass,permeability,voltage | m·ℓ·S_e·β·U·μ₀ | em,mechanics,thermo | m·ℓ·S_e⁻²·β²·U²·μ₀⁻¹ | m = k₀ · ℓ⁻¹·S_e²·β⁻²·U⁻²·μ₀ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "entropy": "-2", "expansion": "2", "voltage": "2", "permeability": "-1"} |
6 | conductivity,entropy,expansion,length,mass,voltage | m·ℓ·S_e·β·U·σ | em,mechanics,thermo | m·ℓ⁴·S_e⁻³·β³·U⁴·σ² | m = k₀ · ℓ⁻⁴·S_e³·β⁻³·U⁻⁴·σ⁻² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "entropy": "-3", "expansion": "3", "voltage": "4", "conductivity": "2"} |
6 | entropy,expansion,length,mass,resistivity,voltage | m·ℓ·S_e·β·U·ρ_e | em,mechanics,thermo | m·ℓ⁴·S_e⁻³·β³·U⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁴·S_e³·β⁻³·U⁻⁴·ρ_e² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "entropy": "-3", "expansion": "3", "voltage": "4", "resistivity": "-2"} |
6 | capacitance,entropy,expansion,length,mass,resistance | m·ℓ·S_e·β·R·C_e | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·R⁻²·C_e⁻² | m = k₀ · ℓ⁻²·S_e·β⁻¹·R²·C_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "resistance": "-2", "capacitance": "-2"} |
6 | entropy,expansion,inductance,length,mass,resistance | m·ℓ·S_e·β·R·L_e | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·R²·L_e⁻² | m = k₀ · ℓ⁻²·S_e·β⁻¹·R⁻²·L_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "resistance": "2", "inductance": "-2"} |
6 | efield,entropy,expansion,length,mass,resistance | m·ℓ·S_e·β·R·E_f | em,mechanics,thermo | m·ℓ⁶·S_e⁻³·β³·R⁻²·E_f⁴ | m = k₀ · ℓ⁻⁶·S_e³·β⁻³·R²·E_f⁻⁴ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "6", "entropy": "-3", "expansion": "3", "resistance": "-2", "efield": "4"} |
6 | bfield,entropy,expansion,length,mass,resistance | m·ℓ·S_e·β·R·B | em,mechanics,thermo | m·ℓ⁻⁶·S_e·β⁻¹·R²·B⁻⁴ | m = k₀ · ℓ⁶·S_e⁻¹·β·R⁻²·B⁴ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "-6", "entropy": "1", "expansion": "-1", "resistance": "2", "bfield": "-4"} |
6 | entropy,expansion,length,mag_flux,mass,resistance | m·ℓ·S_e·β·R·Φ | em,mechanics,thermo | m·ℓ²·S_e·β⁻¹·R²·Φ⁻⁴ | m = k₀ · ℓ⁻²·S_e⁻¹·β·R⁻²·Φ⁴ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "entropy": "1", "expansion": "-1", "resistance": "2", "mag_flux": "-4"} |
6 | elem_charge,entropy,expansion,length,mass,resistance | m·ℓ·S_e·β·R·e | constants,em,mechanics,thermo | m·ℓ²·S_e·β⁻¹·R⁻²·e⁻⁴ | m = k₀ · ℓ⁻²·S_e⁻¹·β·R²·e⁴ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "1", "expansion": "-1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,entropy,expansion,inductance,length,mass | m·ℓ·S_e·β·C_e·L_e | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·C_e⁻¹·L_e⁻¹ | m = k₀ · ℓ⁻²·S_e·β⁻¹·C_e·L_e | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "capacitance": "-1", "inductance": "-1"} |
6 | capacitance,entropy,expansion,length,mass,permeability | m·ℓ·S_e·β·C_e·μ₀ | em,mechanics,thermo | m·ℓ·S_e⁻¹·β·C_e⁻¹·μ₀⁻¹ | m = k₀ · ℓ⁻¹·S_e·β⁻¹·C_e·μ₀ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "entropy": "-1", "expansion": "1", "capacitance": "-1", "permeability": "-1"} |
6 | capacitance,conductivity,entropy,expansion,length,mass | m·ℓ·S_e·β·C_e·σ | em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·β·C_e⁻²·σ² | m = k₀ · ℓ⁻⁴·S_e·β⁻¹·C_e²·σ⁻² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "entropy": "-1", "expansion": "1", "capacitance": "-2", "conductivity": "2"} |
6 | capacitance,entropy,expansion,length,mass,resistivity | m·ℓ·S_e·β·C_e·ρ_e | em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·β·C_e⁻²·ρ_e⁻² | m = k₀ · ℓ⁻⁴·S_e·β⁻¹·C_e²·ρ_e² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "entropy": "-1", "expansion": "1", "capacitance": "-2", "resistivity": "-2"} |
6 | efield,entropy,expansion,inductance,length,mass | m·ℓ·S_e·β·L_e·E_f | em,mechanics,thermo | m·ℓ⁴·S_e⁻²·β²·L_e⁻¹·E_f² | m = k₀ · ℓ⁻⁴·S_e²·β⁻²·L_e·E_f⁻² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "4", "entropy": "-2", "expansion": "2", "inductance": "-1", "efield": "2"} |
6 | entropy,expansion,inductance,length,mass,permittivity | m·ℓ·S_e·β·L_e·ε | em,mechanics,thermo | m·ℓ·S_e⁻¹·β·L_e⁻¹·ε⁻¹ | m = k₀ · ℓ⁻¹·S_e·β⁻¹·L_e·ε | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "entropy": "-1", "expansion": "1", "inductance": "-1", "permittivity": "-1"} |
6 | efield,entropy,expansion,length,mag_flux,mass | m·ℓ·S_e·β·E_f·Φ | em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·β·E_f²·Φ⁻² | m = k₀ · ℓ⁻⁴·S_e·β⁻¹·E_f⁻²·Φ² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "entropy": "-1", "expansion": "1", "efield": "2", "mag_flux": "-2"} |
6 | efield,entropy,expansion,length,mass,permeability | m·ℓ·S_e·β·E_f·μ₀ | em,mechanics,thermo | m·ℓ³·S_e⁻²·β²·E_f²·μ₀⁻¹ | m = k₀ · ℓ⁻³·S_e²·β⁻²·E_f⁻²·μ₀ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "entropy": "-2", "expansion": "2", "efield": "2", "permeability": "-1"} |
6 | conductivity,efield,entropy,expansion,length,mass | m·ℓ·S_e·β·E_f·σ | em,mechanics,thermo | m·ℓ⁸·S_e⁻³·β³·E_f⁴·σ² | m = k₀ · ℓ⁻⁸·S_e³·β⁻³·E_f⁻⁴·σ⁻² | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "entropy": "-3", "expansion": "3", "efield": "4", "conductivity": "2"} |
6 | efield,entropy,expansion,length,mass,resistivity | m·ℓ·S_e·β·E_f·ρ_e | em,mechanics,thermo | m·ℓ⁸·S_e⁻³·β³·E_f⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁸·S_e³·β⁻³·E_f⁻⁴·ρ_e² | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "entropy": "-3", "expansion": "3", "efield": "4", "resistivity": "-2"} |
6 | bfield,conductivity,entropy,expansion,length,mass | m·ℓ·S_e·β·B·σ | em,mechanics,thermo | m·ℓ⁻⁸·S_e·β⁻¹·B⁻⁴·σ⁻² | m = k₀ · ℓ⁸·S_e⁻¹·β·B⁴·σ² | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "entropy": "1", "expansion": "-1", "bfield": "-4", "conductivity": "-2"} |
6 | bfield,entropy,expansion,length,mass,resistivity | m·ℓ·S_e·β·B·ρ_e | em,mechanics,thermo | m·ℓ⁻⁸·S_e·β⁻¹·B⁻⁴·ρ_e² | m = k₀ · ℓ⁸·S_e⁻¹·β·B⁴·ρ_e⁻² | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "entropy": "1", "expansion": "-1", "bfield": "-4", "resistivity": "2"} |
6 | bfield,elem_charge,entropy,expansion,length,mass | m·ℓ·S_e·β·B·e | constants,em,mechanics,thermo | m·ℓ⁻²·S_e·β⁻¹·B⁻²·e⁻² | m = k₀ · ℓ²·S_e⁻¹·β·B²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "entropy": "1", "expansion": "-1", "bfield": "-2", "elem_charge": "-2"} |
6 | elem_charge,entropy,expansion,length,mag_flux,mass | m·ℓ·S_e·β·Φ·e | constants,em,mechanics,thermo | m·ℓ²·S_e·β⁻¹·Φ⁻²·e⁻² | m = k₀ · ℓ⁻²·S_e⁻¹·β·Φ²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "entropy": "1", "expansion": "-1", "mag_flux": "-2", "elem_charge": "-2"} |
6 | conductivity,entropy,expansion,length,mass,permittivity | m·ℓ·S_e·β·ε·σ | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·ε⁻²·σ² | m = k₀ · ℓ⁻²·S_e·β⁻¹·ε²·σ⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "permittivity": "-2", "conductivity": "2"} |
6 | entropy,expansion,length,mass,permittivity,resistivity | m·ℓ·S_e·β·ε·ρ_e | em,mechanics,thermo | m·ℓ²·S_e⁻¹·β·ε⁻²·ρ_e⁻² | m = k₀ · ℓ⁻²·S_e·β⁻¹·ε²·ρ_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "permittivity": "-2", "resistivity": "-2"} |
6 | conductivity,entropy,expansion,length,mass,permeability | m·ℓ·S_e·β·μ₀·σ | em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·β·μ₀⁻²·σ⁻² | m = k₀ · ℓ²·S_e·β⁻¹·μ₀²·σ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "entropy": "-1", "expansion": "1", "permeability": "-2", "conductivity": "-2"} |
6 | entropy,expansion,length,mass,permeability,resistivity | m·ℓ·S_e·β·μ₀·ρ_e | em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·β·μ₀⁻²·ρ_e² | m = k₀ · ℓ²·S_e·β⁻¹·μ₀²·ρ_e⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "entropy": "-1", "expansion": "1", "permeability": "-2", "resistivity": "2"} |
6 | conductivity,elem_charge,entropy,expansion,length,mass | m·ℓ·S_e·β·σ·e | constants,em,mechanics,thermo | m·ℓ⁴·S_e·β⁻¹·σ²·e⁻⁴ | m = k₀ · ℓ⁻⁴·S_e⁻¹·β·σ⁻²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "entropy": "1", "expansion": "-1", "conductivity": "2", "elem_charge": "-4"} |
6 | elem_charge,entropy,expansion,length,mass,resistivity | m·ℓ·S_e·β·ρ_e·e | constants,em,mechanics,thermo | m·ℓ⁴·S_e·β⁻¹·ρ_e⁻²·e⁻⁴ | m = k₀ · ℓ⁻⁴·S_e⁻¹·β·ρ_e²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "entropy": "1", "expansion": "-1", "resistivity": "-2", "elem_charge": "-4"} |
6 | amount,cat_activity,entropy,expansion,length,mass | m·ℓ·S_e·β·n·z | chemistry,mechanics,thermo | m·ℓ²·S_e⁻¹·β·n⁻²·z² | m = k₀ · ℓ⁻²·S_e·β⁻¹·n²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "amount": "-2", "cat_activity": "2"} |
6 | cat_activity,entropy,expansion,length,mass,molar_mass | m·ℓ·S_e·β·M_m·z | chemistry,mechanics,thermo | m·ℓ⁻²·S_e·β⁻¹·M_m⁻²·z⁻² | m = k₀ · ℓ²·S_e⁻¹·β·M_m²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "entropy": "1", "expansion": "-1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | cat_activity,concentration,entropy,expansion,length,mass | m·ℓ·S_e·β·c_n·z | chemistry,mechanics,thermo | m·ℓ⁻⁴·S_e⁻¹·β·c_n⁻²·z² | m = k₀ · ℓ⁴·S_e·β⁻¹·c_n²·z⁻² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "entropy": "-1", "expansion": "1", "concentration": "-2", "cat_activity": "2"} |
6 | cat_activity,entropy,expansion,length,mass,molar_energy | m·ℓ·S_e·β·E_m·z | chemistry,mechanics,thermo | m·ℓ²·S_e⁻³·β³·E_m²·z² | m = k₀ · ℓ⁻²·S_e³·β⁻³·E_m⁻²·z⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "entropy": "-3", "expansion": "3", "molar_energy": "2", "cat_activity": "2"} |
6 | cat_activity,entropy,expansion,gas_constant,length,mass | m·ℓ·S_e·β·R·z | chemistry,mechanics,thermo | m·ℓ²·S_e⁻³·β·R²·z² | m = k₀ · ℓ⁻²·S_e³·β⁻¹·R⁻²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "2", "entropy": "-3", "expansion": "1", "gas_constant": "2", "cat_activity": "2"} |
6 | avogadro,cat_activity,entropy,expansion,length,mass | m·ℓ·S_e·β·z·N_A | chemistry,constants,mechanics,thermo | m·ℓ²·S_e⁻¹·β·z²·N_A² | m = k₀ · ℓ⁻²·S_e·β⁻¹·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "entropy": "-1", "expansion": "1", "cat_activity": "2", "avogadro": "2"} |
5 | entropy,expansion,grav_const,length,mass | m·ℓ·S_e·β·G | constants,mechanics,thermo | m²·ℓ⁻¹·S_e⁻¹·β·G | ℓ = k₀ · m²·S_e⁻¹·β·G | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "2", "length": "-1", "entropy": "-1", "expansion": "1", "grav_const": "1"} |
5 | entropy,expansion,length,mass,planck | m·ℓ·S_e·β·h | constants,mechanics,thermo | m·ℓ²·S_e·β⁻¹·h⁻² | m = k₀ · ℓ⁻²·S_e⁻¹·β·h² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "entropy": "1", "expansion": "-1", "planck": "-2"} |
7 | charge,current,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·q·i·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·q⁻²·i²·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·q²·i⁻²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "charge": "-2", "current": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,charge,entropy,gas_constant,length,mass,voltage | m·ℓ·S_e·q·U·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·q⁻¹·U⁻¹·R²·z² | m = k₀ · ℓ⁻²·S_e²·q·U·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "2", "entropy": "-2", "charge": "-1", "voltage": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | charge,entropy,gas_constant,length,mass,molar_energy,resistance | m·ℓ·S_e·q·R·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e·q⁻⁴·R⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁻²·S_e⁻¹·q⁴·R²·E_m⁻¹·R | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "2", "entropy": "1", "charge": "-4", "resistance": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,length,mass,resistance | m·ℓ·S_e·q·R·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·q⁻²·R⁻¹·R·z | m = k₀ · ℓ⁻²·S_e·q²·R·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "charge": "-2", "resistance": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | capacitance,cat_activity,charge,entropy,gas_constant,length,mass | m·ℓ·S_e·q·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·q⁻²·C_e·R²·z² | m = k₀ · ℓ⁻²·S_e²·q²·C_e⁻¹·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "-2", "charge": "-2", "capacitance": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,charge,efield,entropy,gas_constant,length,mass | m·ℓ·S_e·q·E_f·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻²·q⁻¹·E_f⁻¹·R²·z² | m = k₀ · ℓ⁻¹·S_e²·q·E_f·R⁻²·z⁻² | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "1", "entropy": "-2", "charge": "-1", "efield": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | bfield,charge,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·q·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·S_e·q⁻²·B⁻²·E_m·R⁻¹ | m = k₀ · ℓ²·S_e⁻¹·q²·B²·E_m⁻¹·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "entropy": "1", "charge": "-2", "bfield": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | charge,entropy,gas_constant,length,mag_flux,mass,molar_energy | m·ℓ·S_e·q·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e·q⁻²·Φ⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁻²·S_e⁻¹·q²·Φ²·E_m⁻¹·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "1", "charge": "-2", "mag_flux": "-2", "molar_energy": "1", "gas_constant": "-1"} |
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