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,entropy,gas_constant,length,mag_flux,mass | m·ℓ·S_e·q·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·q⁻¹·Φ⁻¹·R·z | m = k₀ · ℓ⁻²·S_e·q·Φ·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "2", "entropy": "-1", "charge": "-1", "mag_flux": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | cat_activity,charge,entropy,gas_constant,length,mass,permittivity | m·ℓ·S_e·q·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻²·q⁻²·ε·R²·z² | m = k₀ · ℓ⁻³·S_e²·q²·ε⁻¹·R⁻²·z⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "entropy": "-2", "charge": "-2", "permittivity": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | charge,conductivity,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·q·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e·q⁻⁴·σ²·E_m·R⁻¹ | m = k₀ · ℓ⁻⁴·S_e⁻¹·q⁴·σ⁻²·E_m⁻¹·R | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "entropy": "1", "charge": "-4", "conductivity": "2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,conductivity,entropy,gas_constant,length,mass | m·ℓ·S_e·q·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻¹·q⁻²·σ·R·z | m = k₀ · ℓ⁻³·S_e·q²·σ⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "3", "entropy": "-1", "charge": "-2", "conductivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | charge,entropy,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·S_e·q·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e·q⁻⁴·ρ_e⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁻⁴·S_e⁻¹·q⁴·ρ_e²·E_m⁻¹·R | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "entropy": "1", "charge": "-4", "resistivity": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,length,mass,resistivity | m·ℓ·S_e·q·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻¹·q⁻²·ρ_e⁻¹·R·z | m = k₀ · ℓ⁻³·S_e·q²·ρ_e·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "3", "entropy": "-1", "charge": "-2", "resistivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | current,entropy,gas_constant,length,mass,molar_energy,voltage | m·ℓ·S_e·i·U·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻³·i²·U²·E_m⁻³·R³ | m = k₀ · ℓ⁻²·S_e³·i⁻²·U⁻²·E_m³·R⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "2", "entropy": "-3", "current": "2", "voltage": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,current,entropy,gas_constant,length,mass,voltage | m·ℓ·S_e·i·U·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻³·i⁻¹·U⁻¹·R³·z³ | m = k₀ · ℓ⁻²·S_e³·i·U·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "2", "entropy": "-3", "current": "-1", "voltage": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | current,entropy,gas_constant,length,mass,molar_energy,resistance | m·ℓ·S_e·i·R·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻³·i⁴·R²·E_m⁻³·R³ | m = k₀ · ℓ⁻²·S_e³·i⁻⁴·R⁻²·E_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "entropy": "-3", "current": "4", "resistance": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,current,entropy,gas_constant,length,mass,resistance | m·ℓ·S_e·i·R·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻³·i⁻²·R⁻¹·R³·z³ | m = k₀ · ℓ⁻²·S_e³·i²·R·R⁻³·z⁻³ | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "entropy": "-3", "current": "-2", "resistance": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | capacitance,current,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·i·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·i²·C_e⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻²·S_e²·i⁻²·C_e·E_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "-2", "current": "2", "capacitance": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | capacitance,cat_activity,current,entropy,gas_constant,length,mass | m·ℓ·S_e·i·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻⁴·i⁻²·C_e·R⁴·z⁴ | m = k₀ · ℓ⁻²·S_e⁴·i²·C_e⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "entropy": "-4", "current": "-2", "capacitance": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | cat_activity,current,entropy,gas_constant,inductance,length,mass | m·ℓ·S_e·i·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·i⁻²·L_e⁻¹·R²·z² | m = k₀ · ℓ⁻²·S_e²·i²·L_e·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "-2", "current": "-2", "inductance": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | current,efield,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·i·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻³·i²·E_f²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁴·S_e³·i⁻²·E_f⁻²·E_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "4", "entropy": "-3", "current": "2", "efield": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,current,efield,entropy,gas_constant,length,mass | m·ℓ·S_e·i·E_f·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻³·i⁻¹·E_f⁻¹·R³·z³ | m = k₀ · ℓ⁻¹·S_e³·i·E_f·R⁻³·z⁻³ | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "1", "entropy": "-3", "current": "-1", "efield": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,current,entropy,gas_constant,length,mag_flux,mass | m·ℓ·S_e·i·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·i⁻¹·Φ⁻¹·R²·z² | m = k₀ · ℓ⁻²·S_e²·i·Φ·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "2", "entropy": "-2", "current": "-1", "mag_flux": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | current,entropy,gas_constant,length,mass,molar_energy,permittivity | m·ℓ·S_e·i·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻²·i²·ε⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻¹·S_e²·i⁻²·ε·E_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "entropy": "-2", "current": "2", "permittivity": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,current,entropy,gas_constant,length,mass,permittivity | m·ℓ·S_e·i·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻⁴·i⁻²·ε·R⁴·z⁴ | m = k₀ · ℓ⁻³·S_e⁴·i²·ε⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "length": "3", "entropy": "-4", "current": "-2", "permittivity": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | cat_activity,current,entropy,gas_constant,length,mass,permeability | m·ℓ·S_e·i·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻²·i⁻²·μ₀⁻¹·R²·z² | m = k₀ · ℓ⁻¹·S_e²·i²·μ₀·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "entropy": "-2", "current": "-2", "permeability": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,conductivity,current,entropy,gas_constant,length,mass | m·ℓ·S_e·i·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻³·i⁻²·σ·R³·z³ | m = k₀ · ℓ⁻³·S_e³·i²·σ⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "3", "entropy": "-3", "current": "-2", "conductivity": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,current,entropy,gas_constant,length,mass,resistivity | m·ℓ·S_e·i·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻³·i⁻²·ρ_e⁻¹·R³·z³ | m = k₀ · ℓ⁻³·S_e³·i²·ρ_e·R⁻³·z⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "3", "entropy": "-3", "current": "-2", "resistivity": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | current,elem_charge,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·i·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e⁻¹·i²·E_m⁻¹·R·e⁻² | m = k₀ · ℓ⁻²·S_e·i⁻²·E_m·R⁻¹·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "entropy": "-1", "current": "2", "molar_energy": "-1", "gas_constant": "1", "elem_charge": "-2"} |
7 | entropy,gas_constant,length,mass,molar_energy,resistance,voltage | m·ℓ·S_e·U·R·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻³·U⁴·R⁻²·E_m⁻³·R³ | m = k₀ · ℓ⁻²·S_e³·U⁻⁴·R²·E_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "entropy": "-3", "voltage": "4", "resistance": "-2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,entropy,gas_constant,length,mass,resistance,voltage | m·ℓ·S_e·U·R·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻³·U⁻²·R·R³·z³ | m = k₀ · ℓ⁻²·S_e³·U²·R⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "entropy": "-3", "voltage": "-2", "resistance": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | capacitance,cat_activity,entropy,gas_constant,length,mass,voltage | m·ℓ·S_e·U·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·U⁻²·C_e⁻¹·R²·z² | m = k₀ · ℓ⁻²·S_e²·U²·C_e·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "-2", "voltage": "-2", "capacitance": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | entropy,gas_constant,inductance,length,mass,molar_energy,voltage | m·ℓ·S_e·U·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·U²·L_e⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻²·S_e²·U⁻²·L_e·E_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "-2", "voltage": "2", "inductance": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,entropy,gas_constant,inductance,length,mass,voltage | m·ℓ·S_e·U·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻⁴·U⁻²·L_e·R⁴·z⁴ | m = k₀ · ℓ⁻²·S_e⁴·U²·L_e⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "entropy": "-4", "voltage": "-2", "inductance": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | bfield,entropy,gas_constant,length,mass,molar_energy,voltage | m·ℓ·S_e·U·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·U²·B⁻²·E_m⁻¹·R | m = k₀ · ℓ²·S_e·U⁻²·B²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "entropy": "-1", "voltage": "2", "bfield": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | entropy,gas_constant,length,mag_flux,mass,molar_energy,voltage | m·ℓ·S_e·U·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·U²·Φ⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·U⁻²·Φ²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "voltage": "2", "mag_flux": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,entropy,gas_constant,length,mass,permittivity,voltage | m·ℓ·S_e·U·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻²·U⁻²·ε⁻¹·R²·z² | m = k₀ · ℓ⁻¹·S_e²·U²·ε·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "entropy": "-2", "voltage": "-2", "permittivity": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | entropy,gas_constant,length,mass,molar_energy,permeability,voltage | m·ℓ·S_e·U·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻²·U²·μ₀⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻¹·S_e²·U⁻²·μ₀·E_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "entropy": "-2", "voltage": "2", "permeability": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,entropy,gas_constant,length,mass,permeability,voltage | m·ℓ·S_e·U·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻⁴·U⁻²·μ₀·R⁴·z⁴ | m = k₀ · ℓ⁻³·S_e⁴·U²·μ₀⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "length": "3", "entropy": "-4", "voltage": "-2", "permeability": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | conductivity,entropy,gas_constant,length,mass,molar_energy,voltage | m·ℓ·S_e·U·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻³·U⁴·σ²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁴·S_e³·U⁻⁴·σ⁻²·E_m³·R⁻³ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "entropy": "-3", "voltage": "4", "conductivity": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,conductivity,entropy,gas_constant,length,mass,voltage | m·ℓ·S_e·U·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻³·U⁻²·σ⁻¹·R³·z³ | m = k₀ · ℓ⁻¹·S_e³·U²·σ·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "entropy": "-3", "voltage": "-2", "conductivity": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | entropy,gas_constant,length,mass,molar_energy,resistivity,voltage | m·ℓ·S_e·U·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻³·U⁴·ρ_e⁻²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁴·S_e³·U⁻⁴·ρ_e²·E_m³·R⁻³ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "entropy": "-3", "voltage": "4", "resistivity": "-2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,entropy,gas_constant,length,mass,resistivity,voltage | m·ℓ·S_e·U·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻³·U⁻²·ρ_e·R³·z³ | m = k₀ · ℓ⁻¹·S_e³·U²·ρ_e⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "entropy": "-3", "voltage": "-2", "resistivity": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,elem_charge,entropy,gas_constant,length,mass,voltage | m·ℓ·S_e·U·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e⁻²·U⁻¹·R²·z²·e⁻¹ | m = k₀ · ℓ⁻²·S_e²·U·R⁻²·z⁻²·e | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "2", "entropy": "-2", "voltage": "-1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-1"} |
7 | capacitance,entropy,gas_constant,length,mass,molar_energy,resistance | m·ℓ·S_e·R·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·R⁻²·C_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·R²·C_e²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "resistance": "-2", "capacitance": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | entropy,gas_constant,inductance,length,mass,molar_energy,resistance | m·ℓ·S_e·R·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·R²·L_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·R⁻²·L_e²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "resistance": "2", "inductance": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | efield,entropy,gas_constant,length,mass,molar_energy,resistance | m·ℓ·S_e·R·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁶·S_e⁻³·R⁻²·E_f⁴·E_m⁻³·R³ | m = k₀ · ℓ⁻⁶·S_e³·R²·E_f⁻⁴·E_m³·R⁻³ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "6", "entropy": "-3", "resistance": "-2", "efield": "4", "molar_energy": "-3", "gas_constant": "3"} |
7 | bfield,entropy,gas_constant,length,mass,molar_energy,resistance | m·ℓ·S_e·R·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·S_e·R²·B⁻⁴·E_m·R⁻¹ | m = k₀ · ℓ⁶·S_e⁻¹·R⁻²·B⁴·E_m⁻¹·R | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "length": "-6", "entropy": "1", "resistance": "2", "bfield": "-4", "molar_energy": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,entropy,gas_constant,length,mass,resistance | m·ℓ·S_e·R·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·R·B⁻²·R·z | m = k₀ · ℓ²·S_e·R⁻¹·B²·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-2", "entropy": "-1", "resistance": "1", "bfield": "-2", "gas_constant": "1", "cat_activity": "1"} |
7 | entropy,gas_constant,length,mag_flux,mass,molar_energy,resistance | m·ℓ·S_e·R·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e·R²·Φ⁻⁴·E_m·R⁻¹ | m = k₀ · ℓ⁻²·S_e⁻¹·R⁻²·Φ⁴·E_m⁻¹·R | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "2", "entropy": "1", "resistance": "2", "mag_flux": "-4", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,entropy,gas_constant,length,mag_flux,mass,resistance | m·ℓ·S_e·R·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·R·Φ⁻²·R·z | m = k₀ · ℓ⁻²·S_e·R⁻¹·Φ²·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "entropy": "-1", "resistance": "1", "mag_flux": "-2", "gas_constant": "1", "cat_activity": "1"} |
7 | elem_charge,entropy,gas_constant,length,mass,molar_energy,resistance | m·ℓ·S_e·R·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e·R⁻²·E_m·R⁻¹·e⁻⁴ | m = k₀ · ℓ⁻²·S_e⁻¹·R²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "1", "length": "2", "entropy": "1", "resistance": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,entropy,gas_constant,length,mass,resistance | m·ℓ·S_e·R·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e⁻¹·R⁻¹·R·z·e⁻² | m = k₀ · ℓ⁻²·S_e·R·R⁻¹·z⁻¹·e² | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "2", "entropy": "-1", "resistance": "-1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
7 | capacitance,entropy,gas_constant,inductance,length,mass,molar_energy | m·ℓ·S_e·C_e·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·C_e⁻¹·L_e⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·C_e·L_e·E_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "2", "entropy": "-1", "capacitance": "-1", "inductance": "-1", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,entropy,gas_constant,length,mass,molar_energy,permeability | m·ℓ·S_e·C_e·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻¹·C_e⁻¹·μ₀⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻¹·S_e·C_e·μ₀·E_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "1", "entropy": "-1", "capacitance": "-1", "permeability": "-1", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,conductivity,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·C_e·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·C_e⁻²·σ²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·S_e·C_e²·σ⁻²·E_m·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "entropy": "-1", "capacitance": "-2", "conductivity": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,entropy,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·S_e·C_e·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·C_e⁻²·ρ_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·S_e·C_e²·ρ_e²·E_m·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "entropy": "-1", "capacitance": "-2", "resistivity": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,cat_activity,elem_charge,entropy,gas_constant,length,mass | m·ℓ·S_e·C_e·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e⁻²·C_e·R²·z²·e⁻² | m = k₀ · ℓ⁻²·S_e²·C_e⁻¹·R⁻²·z⁻²·e² | null | 1 | 5 | 2 | 12 | 11.4 | -3.4 | false | {"mass": "1", "length": "2", "entropy": "-2", "capacitance": "1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-2"} |
7 | efield,entropy,gas_constant,inductance,length,mass,molar_energy | m·ℓ·S_e·L_e·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻²·L_e⁻¹·E_f²·E_m⁻²·R² | m = k₀ · ℓ⁻⁴·S_e²·L_e·E_f⁻²·E_m²·R⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "entropy": "-2", "inductance": "-1", "efield": "2", "molar_energy": "-2", "gas_constant": "2"} |
7 | bfield,cat_activity,entropy,gas_constant,inductance,length,mass | m·ℓ·S_e·L_e·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻²·S_e⁻²·L_e·B⁻²·R²·z² | m = k₀ · ℓ²·S_e²·L_e⁻¹·B²·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "entropy": "-2", "inductance": "1", "bfield": "-2", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,entropy,gas_constant,inductance,length,mag_flux,mass | m·ℓ·S_e·L_e·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻²·L_e·Φ⁻²·R²·z² | m = k₀ · ℓ⁻²·S_e²·L_e⁻¹·Φ²·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "entropy": "-2", "inductance": "1", "mag_flux": "-2", "gas_constant": "2", "cat_activity": "2"} |
7 | entropy,gas_constant,inductance,length,mass,molar_energy,permittivity | m·ℓ·S_e·L_e·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻¹·L_e⁻¹·ε⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻¹·S_e·L_e·ε·E_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "1", "entropy": "-1", "inductance": "-1", "permittivity": "-1", "molar_energy": "-1", "gas_constant": "1"} |
7 | efield,entropy,gas_constant,length,mag_flux,mass,molar_energy | m·ℓ·S_e·E_f·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·S_e⁻¹·E_f²·Φ⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·S_e·E_f⁻²·Φ²·E_m·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "entropy": "-1", "efield": "2", "mag_flux": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,efield,entropy,gas_constant,length,mass,permittivity | m·ℓ·S_e·E_f·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·S_e⁻²·E_f⁻²·ε⁻¹·R²·z² | m = k₀ · ℓ·S_e²·E_f²·ε·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "entropy": "-2", "efield": "-2", "permittivity": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | efield,entropy,gas_constant,length,mass,molar_energy,permeability | m·ℓ·S_e·E_f·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻²·E_f²·μ₀⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻³·S_e²·E_f⁻²·μ₀·E_m²·R⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "entropy": "-2", "efield": "2", "permeability": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,efield,entropy,gas_constant,length,mass,permeability | m·ℓ·S_e·E_f·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻⁴·E_f⁻²·μ₀·R⁴·z⁴ | m = k₀ · ℓ⁻¹·S_e⁴·E_f²·μ₀⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "1", "entropy": "-4", "efield": "-2", "permeability": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | conductivity,efield,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·E_f·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁸·S_e⁻³·E_f⁴·σ²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁸·S_e³·E_f⁻⁴·σ⁻²·E_m³·R⁻³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "entropy": "-3", "efield": "4", "conductivity": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,conductivity,efield,entropy,gas_constant,length,mass | m·ℓ·S_e·E_f·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·S_e⁻³·E_f⁻²·σ⁻¹·R³·z³ | m = k₀ · ℓ·S_e³·E_f²·σ·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "-1", "entropy": "-3", "efield": "-2", "conductivity": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | efield,entropy,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·S_e·E_f·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁸·S_e⁻³·E_f⁴·ρ_e⁻²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁸·S_e³·E_f⁻⁴·ρ_e²·E_m³·R⁻³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "entropy": "-3", "efield": "4", "resistivity": "-2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,efield,entropy,gas_constant,length,mass,resistivity | m·ℓ·S_e·E_f·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·S_e⁻³·E_f⁻²·ρ_e·R³·z³ | m = k₀ · ℓ·S_e³·E_f²·ρ_e⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "-1", "entropy": "-3", "efield": "-2", "resistivity": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,efield,elem_charge,entropy,gas_constant,length,mass | m·ℓ·S_e·E_f·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ·S_e⁻²·E_f⁻¹·R²·z²·e⁻¹ | m = k₀ · ℓ⁻¹·S_e²·E_f·R⁻²·z⁻²·e | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "1", "entropy": "-2", "efield": "-1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-1"} |
7 | bfield,cat_activity,entropy,gas_constant,length,mass,permeability | m·ℓ·S_e·B·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·S_e⁻²·B⁻²·μ₀·R²·z² | m = k₀ · ℓ·S_e²·B²·μ₀⁻¹·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "entropy": "-2", "bfield": "-2", "permeability": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | bfield,conductivity,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·B·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·S_e·B⁻⁴·σ⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁸·S_e⁻¹·B⁴·σ²·E_m⁻¹·R | null | 0 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "entropy": "1", "bfield": "-4", "conductivity": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,conductivity,entropy,gas_constant,length,mass | m·ℓ·S_e·B·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻³·S_e⁻¹·B⁻²·σ⁻¹·R·z | m = k₀ · ℓ³·S_e·B²·σ·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "entropy": "-1", "bfield": "-2", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | bfield,entropy,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·S_e·B·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·S_e·B⁻⁴·ρ_e²·E_m·R⁻¹ | m = k₀ · ℓ⁸·S_e⁻¹·B⁴·ρ_e⁻²·E_m⁻¹·R | null | 0 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "entropy": "1", "bfield": "-4", "resistivity": "2", "molar_energy": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,entropy,gas_constant,length,mass,resistivity | m·ℓ·S_e·B·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻³·S_e⁻¹·B⁻²·ρ_e·R·z | m = k₀ · ℓ³·S_e·B²·ρ_e⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "entropy": "-1", "bfield": "-2", "resistivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | bfield,elem_charge,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·B·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·S_e·B⁻²·E_m·R⁻¹·e⁻² | m = k₀ · ℓ²·S_e⁻¹·B²·E_m⁻¹·R·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "-2", "entropy": "1", "bfield": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,entropy,gas_constant,length,mag_flux,mass,permeability | m·ℓ·S_e·Φ·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ³·S_e⁻²·Φ⁻²·μ₀·R²·z² | m = k₀ · ℓ⁻³·S_e²·Φ²·μ₀⁻¹·R⁻²·z⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "entropy": "-2", "mag_flux": "-2", "permeability": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,conductivity,entropy,gas_constant,length,mag_flux,mass | m·ℓ·S_e·Φ·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻¹·Φ⁻²·σ⁻¹·R·z | m = k₀ · ℓ⁻¹·S_e·Φ²·σ·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "entropy": "-1", "mag_flux": "-2", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | cat_activity,entropy,gas_constant,length,mag_flux,mass,resistivity | m·ℓ·S_e·Φ·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ·S_e⁻¹·Φ⁻²·ρ_e·R·z | m = k₀ · ℓ⁻¹·S_e·Φ²·ρ_e⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "entropy": "-1", "mag_flux": "-2", "resistivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | elem_charge,entropy,gas_constant,length,mag_flux,mass,molar_energy | m·ℓ·S_e·Φ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e·Φ⁻²·E_m·R⁻¹·e⁻² | m = k₀ · ℓ⁻²·S_e⁻¹·Φ²·E_m⁻¹·R·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "entropy": "1", "mag_flux": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,entropy,gas_constant,length,mag_flux,mass | m·ℓ·S_e·Φ·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·S_e⁻¹·Φ⁻¹·R·z·e⁻¹ | m = k₀ · ℓ⁻²·S_e·Φ·R⁻¹·z⁻¹·e | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "2", "entropy": "-1", "mag_flux": "-1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-1"} |
7 | conductivity,entropy,gas_constant,length,mass,molar_energy,permittivity | m·ℓ·S_e·ε·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·ε⁻²·σ²·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·ε²·σ⁻²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "permittivity": "-2", "conductivity": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | entropy,gas_constant,length,mass,molar_energy,permittivity,resistivity | m·ℓ·S_e·ε·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·S_e⁻¹·ε⁻²·ρ_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·S_e·ε²·ρ_e²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "entropy": "-1", "permittivity": "-2", "resistivity": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,elem_charge,entropy,gas_constant,length,mass,permittivity | m·ℓ·S_e·ε·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·S_e⁻²·ε·R²·z²·e⁻² | m = k₀ · ℓ⁻³·S_e²·ε⁻¹·R⁻²·z⁻²·e² | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "1", "length": "3", "entropy": "-2", "permittivity": "1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-2"} |
7 | conductivity,entropy,gas_constant,length,mass,molar_energy,permeability | m·ℓ·S_e·μ₀·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·μ₀⁻²·σ⁻²·E_m⁻¹·R | m = k₀ · ℓ²·S_e·μ₀²·σ²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "entropy": "-1", "permeability": "-2", "conductivity": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | entropy,gas_constant,length,mass,molar_energy,permeability,resistivity | m·ℓ·S_e·μ₀·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·S_e⁻¹·μ₀⁻²·ρ_e²·E_m⁻¹·R | m = k₀ · ℓ²·S_e·μ₀²·ρ_e⁻²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "entropy": "-1", "permeability": "-2", "resistivity": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | conductivity,elem_charge,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·σ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·S_e·σ²·E_m·R⁻¹·e⁻⁴ | m = k₀ · ℓ⁻⁴·S_e⁻¹·σ⁻²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "entropy": "1", "conductivity": "2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | cat_activity,conductivity,elem_charge,entropy,gas_constant,length,mass | m·ℓ·S_e·σ·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·S_e⁻¹·σ·R·z·e⁻² | m = k₀ · ℓ⁻³·S_e·σ⁻¹·R⁻¹·z⁻¹·e² | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "entropy": "-1", "conductivity": "1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
7 | elem_charge,entropy,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·S_e·ρ_e·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·S_e·ρ_e⁻²·E_m·R⁻¹·e⁻⁴ | m = k₀ · ℓ⁻⁴·S_e⁻¹·ρ_e²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "entropy": "1", "resistivity": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,entropy,gas_constant,length,mass,resistivity | m·ℓ·S_e·ρ_e·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·S_e⁻¹·ρ_e⁻¹·R·z·e⁻² | m = k₀ · ℓ⁻³·S_e·ρ_e·R⁻¹·z⁻¹·e² | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "entropy": "-1", "resistivity": "-1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
6 | cat_activity,entropy,gas_constant,length,mass,molar_energy | m·ℓ·S_e·E_m·R·z | chemistry,mechanics,thermo | m·ℓ²·S_e⁻³·E_m⁻¹·R³·z² | m = k₀ · ℓ⁻²·S_e³·E_m·R⁻³·z⁻² | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "length": "2", "entropy": "-3", "molar_energy": "-1", "gas_constant": "3", "cat_activity": "2"} |
6 | entropy,gas_constant,grav_const,length,mass,molar_energy | m·ℓ·S_e·E_m·R·G | chemistry,constants,mechanics,thermo | m²·ℓ⁻¹·S_e⁻¹·E_m⁻¹·R·G | ℓ = k₀ · m²·S_e⁻¹·E_m⁻¹·R·G | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "2", "length": "-1", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1", "grav_const": "1"} |
6 | entropy,gas_constant,length,mass,molar_energy,planck | m·ℓ·S_e·E_m·R·h | chemistry,constants,mechanics,thermo | m·ℓ²·S_e·E_m·R⁻¹·h⁻² | m = k₀ · ℓ⁻²·S_e⁻¹·E_m⁻¹·R·h² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "entropy": "1", "molar_energy": "1", "gas_constant": "-1", "planck": "-2"} |
6 | cat_activity,entropy,gas_constant,grav_const,length,mass | m·ℓ·S_e·R·z·G | chemistry,constants,mechanics,thermo | m·ℓ⁻³·S_e²·R⁻²·z⁻²·G | m = k₀ · ℓ³·S_e⁻²·R²·z²·G⁻¹ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "-3", "entropy": "2", "gas_constant": "-2", "cat_activity": "-2", "grav_const": "1"} |
6 | cat_activity,entropy,gas_constant,length,mass,planck | m·ℓ·S_e·R·z·h | chemistry,constants,mechanics,thermo | m·ℓ²·S_e⁻¹·R·z·h⁻¹ | m = k₀ · ℓ⁻²·S_e·R⁻¹·z⁻¹·h | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "length": "2", "entropy": "-1", "gas_constant": "1", "cat_activity": "1", "planck": "-1"} |
5 | expansion,heat_capacity,length,mass,thermal_cond | m·ℓ·C·κ·β | mechanics,thermo | m·ℓ⁴·C⁻³·κ²·β | m = k₀ · ℓ⁻⁴·C³·κ⁻²·β⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "4", "heat_capacity": "-3", "thermal_cond": "2", "expansion": "1"} |
6 | charge,heat_capacity,length,mass,thermal_cond,voltage | m·ℓ·C·κ·q·U | em,mechanics,thermo | m·ℓ⁴·C⁻²·κ²·q⁻¹·U⁻¹ | m = k₀ · ℓ⁻⁴·C²·κ⁻²·q·U | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "heat_capacity": "-2", "thermal_cond": "2", "charge": "-1", "voltage": "-1"} |
6 | charge,heat_capacity,length,mass,resistance,thermal_cond | m·ℓ·C·κ·q·R | em,mechanics,thermo | m·ℓ³·C⁻¹·κ·q⁻²·R⁻¹ | m = k₀ · ℓ⁻³·C·κ⁻¹·q²·R | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "3", "heat_capacity": "-1", "thermal_cond": "1", "charge": "-2", "resistance": "-1"} |
6 | capacitance,charge,heat_capacity,length,mass,thermal_cond | m·ℓ·C·κ·q·C_e | em,mechanics,thermo | m·ℓ⁴·C⁻²·κ²·q⁻²·C_e | m = k₀ · ℓ⁻⁴·C²·κ⁻²·q²·C_e⁻¹ | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "4", "heat_capacity": "-2", "thermal_cond": "2", "charge": "-2", "capacitance": "1"} |
6 | charge,efield,heat_capacity,length,mass,thermal_cond | m·ℓ·C·κ·q·E_f | em,mechanics,thermo | m·ℓ³·C⁻²·κ²·q⁻¹·E_f⁻¹ | m = k₀ · ℓ⁻³·C²·κ⁻²·q·E_f | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "3", "heat_capacity": "-2", "thermal_cond": "2", "charge": "-1", "efield": "-1"} |
6 | bfield,charge,heat_capacity,length,mass,thermal_cond | m·ℓ·C·κ·q·B | em,mechanics,thermo | m·ℓ·C⁻¹·κ·q⁻¹·B⁻¹ | m = k₀ · ℓ⁻¹·C·κ⁻¹·q·B | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "heat_capacity": "-1", "thermal_cond": "1", "charge": "-1", "bfield": "-1"} |
6 | charge,heat_capacity,length,mag_flux,mass,thermal_cond | m·ℓ·C·κ·q·Φ | em,mechanics,thermo | m·ℓ³·C⁻¹·κ·q⁻¹·Φ⁻¹ | m = k₀ · ℓ⁻³·C·κ⁻¹·q·Φ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "length": "3", "heat_capacity": "-1", "thermal_cond": "1", "charge": "-1", "mag_flux": "-1"} |
6 | charge,heat_capacity,length,mass,permittivity,thermal_cond | m·ℓ·C·κ·q·ε | em,mechanics,thermo | m·ℓ⁵·C⁻²·κ²·q⁻²·ε | m = k₀ · ℓ⁻⁵·C²·κ⁻²·q²·ε⁻¹ | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "1", "length": "5", "heat_capacity": "-2", "thermal_cond": "2", "charge": "-2", "permittivity": "1"} |
6 | charge,conductivity,heat_capacity,length,mass,thermal_cond | m·ℓ·C·κ·q·σ | em,mechanics,thermo | m·ℓ⁴·C⁻¹·κ·q⁻²·σ | m = k₀ · ℓ⁻⁴·C·κ⁻¹·q²·σ⁻¹ | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "length": "4", "heat_capacity": "-1", "thermal_cond": "1", "charge": "-2", "conductivity": "1"} |
6 | charge,heat_capacity,length,mass,resistivity,thermal_cond | m·ℓ·C·κ·q·ρ_e | em,mechanics,thermo | m·ℓ⁴·C⁻¹·κ·q⁻²·ρ_e⁻¹ | m = k₀ · ℓ⁻⁴·C·κ⁻¹·q²·ρ_e | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "length": "4", "heat_capacity": "-1", "thermal_cond": "1", "charge": "-2", "resistivity": "-1"} |
6 | current,heat_capacity,length,mass,thermal_cond,voltage | m·ℓ·C·κ·i·U | em,mechanics,thermo | m·ℓ⁵·C⁻³·κ³·i⁻¹·U⁻¹ | m = k₀ · ℓ⁻⁵·C³·κ⁻³·i·U | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "5", "heat_capacity": "-3", "thermal_cond": "3", "current": "-1", "voltage": "-1"} |
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