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 | cat_activity,expansion,heat_capacity,length,mass,molar_energy | m·ℓ·C·β·E_m·z | chemistry,mechanics,thermo | m·ℓ²·C⁻³·β³·E_m²·z² | m = k₀ · ℓ⁻²·C³·β⁻³·E_m⁻²·z⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "expansion": "3", "molar_energy": "2", "cat_activity": "2"} |
6 | cat_activity,expansion,gas_constant,heat_capacity,length,mass | m·ℓ·C·β·R·z | chemistry,mechanics,thermo | m·ℓ²·C⁻³·β·R²·z² | m = k₀ · ℓ⁻²·C³·β⁻¹·R⁻²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "expansion": "1", "gas_constant": "2", "cat_activity": "2"} |
6 | avogadro,cat_activity,expansion,heat_capacity,length,mass | m·ℓ·C·β·z·N_A | chemistry,constants,mechanics,thermo | m·ℓ²·C⁻¹·β·z²·N_A² | m = k₀ · ℓ⁻²·C·β⁻¹·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "expansion": "1", "cat_activity": "2", "avogadro": "2"} |
5 | expansion,grav_const,heat_capacity,length,mass | m·ℓ·C·β·G | constants,mechanics,thermo | m²·ℓ⁻¹·C⁻¹·β·G | ℓ = k₀ · m²·C⁻¹·β·G | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "2", "length": "-1", "heat_capacity": "-1", "expansion": "1", "grav_const": "1"} |
5 | expansion,heat_capacity,length,mass,planck | m·ℓ·C·β·h | constants,mechanics,thermo | m·ℓ²·C·β⁻¹·h⁻² | m = k₀ · ℓ⁻²·C⁻¹·β·h² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "expansion": "-1", "planck": "-2"} |
7 | charge,current,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·q·i·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·q⁻²·i²·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·q²·i⁻²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "charge": "-2", "current": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,charge,gas_constant,heat_capacity,length,mass,voltage | m·ℓ·C·q·U·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·q⁻¹·U⁻¹·R²·z² | m = k₀ · ℓ⁻²·C²·q·U·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "charge": "-1", "voltage": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | charge,gas_constant,heat_capacity,length,mass,molar_energy,resistance | m·ℓ·C·q·R·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C·q⁻⁴·R⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁻²·C⁻¹·q⁴·R²·E_m⁻¹·R | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "charge": "-4", "resistance": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,heat_capacity,length,mass,resistance | m·ℓ·C·q·R·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·q⁻²·R⁻¹·R·z | m = k₀ · ℓ⁻²·C·q²·R·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "charge": "-2", "resistance": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | capacitance,cat_activity,charge,gas_constant,heat_capacity,length,mass | m·ℓ·C·q·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·q⁻²·C_e·R²·z² | m = k₀ · ℓ⁻²·C²·q²·C_e⁻¹·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "charge": "-2", "capacitance": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,charge,efield,gas_constant,heat_capacity,length,mass | m·ℓ·C·q·E_f·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻²·q⁻¹·E_f⁻¹·R²·z² | m = k₀ · ℓ⁻¹·C²·q·E_f·R⁻²·z⁻² | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "1", "heat_capacity": "-2", "charge": "-1", "efield": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | bfield,charge,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·q·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·C·q⁻²·B⁻²·E_m·R⁻¹ | m = k₀ · ℓ²·C⁻¹·q²·B²·E_m⁻¹·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "heat_capacity": "1", "charge": "-2", "bfield": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | charge,gas_constant,heat_capacity,length,mag_flux,mass,molar_energy | m·ℓ·C·q·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C·q⁻²·Φ⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁻²·C⁻¹·q²·Φ²·E_m⁻¹·R | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "charge": "-2", "mag_flux": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,heat_capacity,length,mag_flux,mass | m·ℓ·C·q·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·q⁻¹·Φ⁻¹·R·z | m = k₀ · ℓ⁻²·C·q·Φ·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "charge": "-1", "mag_flux": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | cat_activity,charge,gas_constant,heat_capacity,length,mass,permittivity | m·ℓ·C·q·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻²·q⁻²·ε·R²·z² | m = k₀ · ℓ⁻³·C²·q²·ε⁻¹·R⁻²·z⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "heat_capacity": "-2", "charge": "-2", "permittivity": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | charge,conductivity,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·q·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C·q⁻⁴·σ²·E_m·R⁻¹ | m = k₀ · ℓ⁻⁴·C⁻¹·q⁴·σ⁻²·E_m⁻¹·R | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "heat_capacity": "1", "charge": "-4", "conductivity": "2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,conductivity,gas_constant,heat_capacity,length,mass | m·ℓ·C·q·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻¹·q⁻²·σ·R·z | m = k₀ · ℓ⁻³·C·q²·σ⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "3", "heat_capacity": "-1", "charge": "-2", "conductivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | charge,gas_constant,heat_capacity,length,mass,molar_energy,resistivity | m·ℓ·C·q·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C·q⁻⁴·ρ_e⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁻⁴·C⁻¹·q⁴·ρ_e²·E_m⁻¹·R | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "heat_capacity": "1", "charge": "-4", "resistivity": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,charge,gas_constant,heat_capacity,length,mass,resistivity | m·ℓ·C·q·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻¹·q⁻²·ρ_e⁻¹·R·z | m = k₀ · ℓ⁻³·C·q²·ρ_e·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "3", "heat_capacity": "-1", "charge": "-2", "resistivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | current,gas_constant,heat_capacity,length,mass,molar_energy,voltage | m·ℓ·C·i·U·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻³·i²·U²·E_m⁻³·R³ | m = k₀ · ℓ⁻²·C³·i⁻²·U⁻²·E_m³·R⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "current": "2", "voltage": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,current,gas_constant,heat_capacity,length,mass,voltage | m·ℓ·C·i·U·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻³·i⁻¹·U⁻¹·R³·z³ | m = k₀ · ℓ⁻²·C³·i·U·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "current": "-1", "voltage": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | current,gas_constant,heat_capacity,length,mass,molar_energy,resistance | m·ℓ·C·i·R·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻³·i⁴·R²·E_m⁻³·R³ | m = k₀ · ℓ⁻²·C³·i⁻⁴·R⁻²·E_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "current": "4", "resistance": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,current,gas_constant,heat_capacity,length,mass,resistance | m·ℓ·C·i·R·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻³·i⁻²·R⁻¹·R³·z³ | m = k₀ · ℓ⁻²·C³·i²·R·R⁻³·z⁻³ | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "current": "-2", "resistance": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | capacitance,current,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·i·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·i²·C_e⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻²·C²·i⁻²·C_e·E_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "current": "2", "capacitance": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | capacitance,cat_activity,current,gas_constant,heat_capacity,length,mass | m·ℓ·C·i·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻⁴·i⁻²·C_e·R⁴·z⁴ | m = k₀ · ℓ⁻²·C⁴·i²·C_e⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-4", "current": "-2", "capacitance": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | cat_activity,current,gas_constant,heat_capacity,inductance,length,mass | m·ℓ·C·i·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·i⁻²·L_e⁻¹·R²·z² | m = k₀ · ℓ⁻²·C²·i²·L_e·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "current": "-2", "inductance": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | current,efield,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·i·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻³·i²·E_f²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁴·C³·i⁻²·E_f⁻²·E_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "4", "heat_capacity": "-3", "current": "2", "efield": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,current,efield,gas_constant,heat_capacity,length,mass | m·ℓ·C·i·E_f·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻³·i⁻¹·E_f⁻¹·R³·z³ | m = k₀ · ℓ⁻¹·C³·i·E_f·R⁻³·z⁻³ | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "1", "heat_capacity": "-3", "current": "-1", "efield": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,current,gas_constant,heat_capacity,length,mag_flux,mass | m·ℓ·C·i·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·i⁻¹·Φ⁻¹·R²·z² | m = k₀ · ℓ⁻²·C²·i·Φ·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "current": "-1", "mag_flux": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | current,gas_constant,heat_capacity,length,mass,molar_energy,permittivity | m·ℓ·C·i·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·C⁻²·i²·ε⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻¹·C²·i⁻²·ε·E_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "heat_capacity": "-2", "current": "2", "permittivity": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,current,gas_constant,heat_capacity,length,mass,permittivity | m·ℓ·C·i·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻⁴·i⁻²·ε·R⁴·z⁴ | m = k₀ · ℓ⁻³·C⁴·i²·ε⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "length": "3", "heat_capacity": "-4", "current": "-2", "permittivity": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | cat_activity,current,gas_constant,heat_capacity,length,mass,permeability | m·ℓ·C·i·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻²·i⁻²·μ₀⁻¹·R²·z² | m = k₀ · ℓ⁻¹·C²·i²·μ₀·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "heat_capacity": "-2", "current": "-2", "permeability": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,conductivity,current,gas_constant,heat_capacity,length,mass | m·ℓ·C·i·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻³·i⁻²·σ·R³·z³ | m = k₀ · ℓ⁻³·C³·i²·σ⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "3", "heat_capacity": "-3", "current": "-2", "conductivity": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,current,gas_constant,heat_capacity,length,mass,resistivity | m·ℓ·C·i·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻³·i⁻²·ρ_e⁻¹·R³·z³ | m = k₀ · ℓ⁻³·C³·i²·ρ_e·R⁻³·z⁻³ | null | 0 | 4 | 3 | 16 | 14.1 | -5.6 | false | {"mass": "1", "length": "3", "heat_capacity": "-3", "current": "-2", "resistivity": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | current,elem_charge,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·i·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C⁻¹·i²·E_m⁻¹·R·e⁻² | m = k₀ · ℓ⁻²·C·i⁻²·E_m·R⁻¹·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "current": "2", "molar_energy": "-1", "gas_constant": "1", "elem_charge": "-2"} |
7 | gas_constant,heat_capacity,length,mass,molar_energy,resistance,voltage | m·ℓ·C·U·R·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻³·U⁴·R⁻²·E_m⁻³·R³ | m = k₀ · ℓ⁻²·C³·U⁻⁴·R²·E_m³·R⁻³ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "voltage": "4", "resistance": "-2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,gas_constant,heat_capacity,length,mass,resistance,voltage | m·ℓ·C·U·R·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻³·U⁻²·R·R³·z³ | m = k₀ · ℓ⁻²·C³·U²·R⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "voltage": "-2", "resistance": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | capacitance,cat_activity,gas_constant,heat_capacity,length,mass,voltage | m·ℓ·C·U·C_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·U⁻²·C_e⁻¹·R²·z² | m = k₀ · ℓ⁻²·C²·U²·C_e·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "voltage": "-2", "capacitance": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | gas_constant,heat_capacity,inductance,length,mass,molar_energy,voltage | m·ℓ·C·U·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·U²·L_e⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻²·C²·U⁻²·L_e·E_m²·R⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "voltage": "2", "inductance": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,gas_constant,heat_capacity,inductance,length,mass,voltage | m·ℓ·C·U·L_e·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻⁴·U⁻²·L_e·R⁴·z⁴ | m = k₀ · ℓ⁻²·C⁴·U²·L_e⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 18 | 16 | -7.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-4", "voltage": "-2", "inductance": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | bfield,gas_constant,heat_capacity,length,mass,molar_energy,voltage | m·ℓ·C·U·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·C⁻¹·U²·B⁻²·E_m⁻¹·R | m = k₀ · ℓ²·C·U⁻²·B²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "heat_capacity": "-1", "voltage": "2", "bfield": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,heat_capacity,length,mag_flux,mass,molar_energy,voltage | m·ℓ·C·U·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·U²·Φ⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·U⁻²·Φ²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "voltage": "2", "mag_flux": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,gas_constant,heat_capacity,length,mass,permittivity,voltage | m·ℓ·C·U·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻²·U⁻²·ε⁻¹·R²·z² | m = k₀ · ℓ⁻¹·C²·U²·ε·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "heat_capacity": "-2", "voltage": "-2", "permittivity": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | gas_constant,heat_capacity,length,mass,molar_energy,permeability,voltage | m·ℓ·C·U·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·C⁻²·U²·μ₀⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻¹·C²·U⁻²·μ₀·E_m²·R⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "1", "heat_capacity": "-2", "voltage": "2", "permeability": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,gas_constant,heat_capacity,length,mass,permeability,voltage | m·ℓ·C·U·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻⁴·U⁻²·μ₀·R⁴·z⁴ | m = k₀ · ℓ⁻³·C⁴·U²·μ₀⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 19 | 16.7 | -8.2 | false | {"mass": "1", "length": "3", "heat_capacity": "-4", "voltage": "-2", "permeability": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | conductivity,gas_constant,heat_capacity,length,mass,molar_energy,voltage | m·ℓ·C·U·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻³·U⁴·σ²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁴·C³·U⁻⁴·σ⁻²·E_m³·R⁻³ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "heat_capacity": "-3", "voltage": "4", "conductivity": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,conductivity,gas_constant,heat_capacity,length,mass,voltage | m·ℓ·C·U·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻³·U⁻²·σ⁻¹·R³·z³ | m = k₀ · ℓ⁻¹·C³·U²·σ·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "heat_capacity": "-3", "voltage": "-2", "conductivity": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | gas_constant,heat_capacity,length,mass,molar_energy,resistivity,voltage | m·ℓ·C·U·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻³·U⁴·ρ_e⁻²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁴·C³·U⁻⁴·ρ_e²·E_m³·R⁻³ | null | 0 | 4 | 4 | 20 | 17.4 | -8.9 | false | {"mass": "1", "length": "4", "heat_capacity": "-3", "voltage": "4", "resistivity": "-2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,gas_constant,heat_capacity,length,mass,resistivity,voltage | m·ℓ·C·U·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻³·U⁻²·ρ_e·R³·z³ | m = k₀ · ℓ⁻¹·C³·U²·ρ_e⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "1", "heat_capacity": "-3", "voltage": "-2", "resistivity": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,elem_charge,gas_constant,heat_capacity,length,mass,voltage | m·ℓ·C·U·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C⁻²·U⁻¹·R²·z²·e⁻¹ | m = k₀ · ℓ⁻²·C²·U·R⁻²·z⁻²·e | null | 1 | 5 | 2 | 11 | 10.7 | -2.7 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "voltage": "-1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-1"} |
7 | capacitance,gas_constant,heat_capacity,length,mass,molar_energy,resistance | m·ℓ·C·R·C_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·R⁻²·C_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·R²·C_e²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "resistance": "-2", "capacitance": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,heat_capacity,inductance,length,mass,molar_energy,resistance | m·ℓ·C·R·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·R²·L_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·R⁻²·L_e²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "resistance": "2", "inductance": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | efield,gas_constant,heat_capacity,length,mass,molar_energy,resistance | m·ℓ·C·R·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁶·C⁻³·R⁻²·E_f⁴·E_m⁻³·R³ | m = k₀ · ℓ⁻⁶·C³·R²·E_f⁻⁴·E_m³·R⁻³ | null | 0 | 4 | 6 | 22 | 19.8 | -11.3 | false | {"mass": "1", "length": "6", "heat_capacity": "-3", "resistance": "-2", "efield": "4", "molar_energy": "-3", "gas_constant": "3"} |
7 | bfield,gas_constant,heat_capacity,length,mass,molar_energy,resistance | m·ℓ·C·R·B·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁶·C·R²·B⁻⁴·E_m·R⁻¹ | m = k₀ · ℓ⁶·C⁻¹·R⁻²·B⁴·E_m⁻¹·R | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "1", "length": "-6", "heat_capacity": "1", "resistance": "2", "bfield": "-4", "molar_energy": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,gas_constant,heat_capacity,length,mass,resistance | m·ℓ·C·R·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻²·C⁻¹·R·B⁻²·R·z | m = k₀ · ℓ²·C·R⁻¹·B²·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "-2", "heat_capacity": "-1", "resistance": "1", "bfield": "-2", "gas_constant": "1", "cat_activity": "1"} |
7 | gas_constant,heat_capacity,length,mag_flux,mass,molar_energy,resistance | m·ℓ·C·R·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C·R²·Φ⁻⁴·E_m·R⁻¹ | m = k₀ · ℓ⁻²·C⁻¹·R⁻²·Φ⁴·E_m⁻¹·R | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "resistance": "2", "mag_flux": "-4", "molar_energy": "1", "gas_constant": "-1"} |
7 | cat_activity,gas_constant,heat_capacity,length,mag_flux,mass,resistance | m·ℓ·C·R·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·R·Φ⁻²·R·z | m = k₀ · ℓ⁻²·C·R⁻¹·Φ²·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "resistance": "1", "mag_flux": "-2", "gas_constant": "1", "cat_activity": "1"} |
7 | elem_charge,gas_constant,heat_capacity,length,mass,molar_energy,resistance | m·ℓ·C·R·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C·R⁻²·E_m·R⁻¹·e⁻⁴ | m = k₀ · ℓ⁻²·C⁻¹·R²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 12 | 12.4 | -4.4 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "resistance": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,gas_constant,heat_capacity,length,mass,resistance | m·ℓ·C·R·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C⁻¹·R⁻¹·R·z·e⁻² | m = k₀ · ℓ⁻²·C·R·R⁻¹·z⁻¹·e² | null | 1 | 5 | 2 | 9 | 9.3 | -1.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "resistance": "-1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
7 | capacitance,gas_constant,heat_capacity,inductance,length,mass,molar_energy | m·ℓ·C·C_e·L_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·C_e⁻¹·L_e⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·C_e·L_e·E_m·R⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "capacitance": "-1", "inductance": "-1", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,gas_constant,heat_capacity,length,mass,molar_energy,permeability | m·ℓ·C·C_e·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·C⁻¹·C_e⁻¹·μ₀⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻¹·C·C_e·μ₀·E_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "1", "heat_capacity": "-1", "capacitance": "-1", "permeability": "-1", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,conductivity,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·C_e·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻¹·C_e⁻²·σ²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·C·C_e²·σ⁻²·E_m·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "heat_capacity": "-1", "capacitance": "-2", "conductivity": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,gas_constant,heat_capacity,length,mass,molar_energy,resistivity | m·ℓ·C·C_e·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻¹·C_e⁻²·ρ_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·C·C_e²·ρ_e²·E_m·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "heat_capacity": "-1", "capacitance": "-2", "resistivity": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | capacitance,cat_activity,elem_charge,gas_constant,heat_capacity,length,mass | m·ℓ·C·C_e·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C⁻²·C_e·R²·z²·e⁻² | m = k₀ · ℓ⁻²·C²·C_e⁻¹·R⁻²·z⁻²·e² | null | 1 | 5 | 2 | 12 | 11.4 | -3.4 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "capacitance": "1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-2"} |
7 | efield,gas_constant,heat_capacity,inductance,length,mass,molar_energy | m·ℓ·C·L_e·E_f·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻²·L_e⁻¹·E_f²·E_m⁻²·R² | m = k₀ · ℓ⁻⁴·C²·L_e·E_f⁻²·E_m²·R⁻² | null | 0 | 4 | 4 | 14 | 13.2 | -4.7 | false | {"mass": "1", "length": "4", "heat_capacity": "-2", "inductance": "-1", "efield": "2", "molar_energy": "-2", "gas_constant": "2"} |
7 | bfield,cat_activity,gas_constant,heat_capacity,inductance,length,mass | m·ℓ·C·L_e·B·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻²·C⁻²·L_e·B⁻²·R²·z² | m = k₀ · ℓ²·C²·L_e⁻¹·B²·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "-2", "heat_capacity": "-2", "inductance": "1", "bfield": "-2", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,gas_constant,heat_capacity,inductance,length,mag_flux,mass | m·ℓ·C·L_e·Φ·R·z | chemistry,em,mechanics,thermo | m·ℓ²·C⁻²·L_e·Φ⁻²·R²·z² | m = k₀ · ℓ⁻²·C²·L_e⁻¹·Φ²·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "heat_capacity": "-2", "inductance": "1", "mag_flux": "-2", "gas_constant": "2", "cat_activity": "2"} |
7 | gas_constant,heat_capacity,inductance,length,mass,molar_energy,permittivity | m·ℓ·C·L_e·ε·E_m·R | chemistry,em,mechanics,thermo | m·ℓ·C⁻¹·L_e⁻¹·ε⁻¹·E_m⁻¹·R | m = k₀ · ℓ⁻¹·C·L_e·ε·E_m·R⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "1", "heat_capacity": "-1", "inductance": "-1", "permittivity": "-1", "molar_energy": "-1", "gas_constant": "1"} |
7 | efield,gas_constant,heat_capacity,length,mag_flux,mass,molar_energy | m·ℓ·C·E_f·Φ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁴·C⁻¹·E_f²·Φ⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻⁴·C·E_f⁻²·Φ²·E_m·R⁻¹ | null | 0 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "heat_capacity": "-1", "efield": "2", "mag_flux": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,efield,gas_constant,heat_capacity,length,mass,permittivity | m·ℓ·C·E_f·ε·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·C⁻²·E_f⁻²·ε⁻¹·R²·z² | m = k₀ · ℓ·C²·E_f²·ε·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "heat_capacity": "-2", "efield": "-2", "permittivity": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | efield,gas_constant,heat_capacity,length,mass,molar_energy,permeability | m·ℓ·C·E_f·μ₀·E_m·R | chemistry,em,mechanics,thermo | m·ℓ³·C⁻²·E_f²·μ₀⁻¹·E_m⁻²·R² | m = k₀ · ℓ⁻³·C²·E_f⁻²·μ₀·E_m²·R⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "heat_capacity": "-2", "efield": "2", "permeability": "-1", "molar_energy": "-2", "gas_constant": "2"} |
7 | cat_activity,efield,gas_constant,heat_capacity,length,mass,permeability | m·ℓ·C·E_f·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻⁴·E_f⁻²·μ₀·R⁴·z⁴ | m = k₀ · ℓ⁻¹·C⁴·E_f²·μ₀⁻¹·R⁻⁴·z⁻⁴ | null | 0 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "1", "heat_capacity": "-4", "efield": "-2", "permeability": "1", "gas_constant": "4", "cat_activity": "4"} |
7 | conductivity,efield,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·E_f·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁸·C⁻³·E_f⁴·σ²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁸·C³·E_f⁻⁴·σ⁻²·E_m³·R⁻³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "heat_capacity": "-3", "efield": "4", "conductivity": "2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,conductivity,efield,gas_constant,heat_capacity,length,mass | m·ℓ·C·E_f·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·C⁻³·E_f⁻²·σ⁻¹·R³·z³ | m = k₀ · ℓ·C³·E_f²·σ·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "-1", "heat_capacity": "-3", "efield": "-2", "conductivity": "-1", "gas_constant": "3", "cat_activity": "3"} |
7 | efield,gas_constant,heat_capacity,length,mass,molar_energy,resistivity | m·ℓ·C·E_f·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁸·C⁻³·E_f⁴·ρ_e⁻²·E_m⁻³·R³ | m = k₀ · ℓ⁻⁸·C³·E_f⁻⁴·ρ_e²·E_m³·R⁻³ | null | 0 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "heat_capacity": "-3", "efield": "4", "resistivity": "-2", "molar_energy": "-3", "gas_constant": "3"} |
7 | cat_activity,efield,gas_constant,heat_capacity,length,mass,resistivity | m·ℓ·C·E_f·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·C⁻³·E_f⁻²·ρ_e·R³·z³ | m = k₀ · ℓ·C³·E_f²·ρ_e⁻¹·R⁻³·z⁻³ | null | 0 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "-1", "heat_capacity": "-3", "efield": "-2", "resistivity": "1", "gas_constant": "3", "cat_activity": "3"} |
7 | cat_activity,efield,elem_charge,gas_constant,heat_capacity,length,mass | m·ℓ·C·E_f·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ·C⁻²·E_f⁻¹·R²·z²·e⁻¹ | m = k₀ · ℓ⁻¹·C²·E_f·R⁻²·z⁻²·e | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "1", "heat_capacity": "-2", "efield": "-1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-1"} |
7 | bfield,cat_activity,gas_constant,heat_capacity,length,mass,permeability | m·ℓ·C·B·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻¹·C⁻²·B⁻²·μ₀·R²·z² | m = k₀ · ℓ·C²·B²·μ₀⁻¹·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "heat_capacity": "-2", "bfield": "-2", "permeability": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | bfield,conductivity,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·B·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·C·B⁻⁴·σ⁻²·E_m·R⁻¹ | m = k₀ · ℓ⁸·C⁻¹·B⁴·σ²·E_m⁻¹·R | null | 0 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "heat_capacity": "1", "bfield": "-4", "conductivity": "-2", "molar_energy": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,conductivity,gas_constant,heat_capacity,length,mass | m·ℓ·C·B·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻³·C⁻¹·B⁻²·σ⁻¹·R·z | m = k₀ · ℓ³·C·B²·σ·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "heat_capacity": "-1", "bfield": "-2", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | bfield,gas_constant,heat_capacity,length,mass,molar_energy,resistivity | m·ℓ·C·B·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻⁸·C·B⁻⁴·ρ_e²·E_m·R⁻¹ | m = k₀ · ℓ⁸·C⁻¹·B⁴·ρ_e⁻²·E_m⁻¹·R | null | 0 | 4 | 8 | 18 | 18 | -9.5 | false | {"mass": "1", "length": "-8", "heat_capacity": "1", "bfield": "-4", "resistivity": "2", "molar_energy": "1", "gas_constant": "-1"} |
7 | bfield,cat_activity,gas_constant,heat_capacity,length,mass,resistivity | m·ℓ·C·B·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ⁻³·C⁻¹·B⁻²·ρ_e·R·z | m = k₀ · ℓ³·C·B²·ρ_e⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "length": "-3", "heat_capacity": "-1", "bfield": "-2", "resistivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | bfield,elem_charge,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·B·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁻²·C·B⁻²·E_m·R⁻¹·e⁻² | m = k₀ · ℓ²·C⁻¹·B²·E_m⁻¹·R·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "-2", "heat_capacity": "1", "bfield": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,gas_constant,heat_capacity,length,mag_flux,mass,permeability | m·ℓ·C·Φ·μ₀·R·z | chemistry,em,mechanics,thermo | m·ℓ³·C⁻²·Φ⁻²·μ₀·R²·z² | m = k₀ · ℓ⁻³·C²·Φ²·μ₀⁻¹·R⁻²·z⁻² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "heat_capacity": "-2", "mag_flux": "-2", "permeability": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | cat_activity,conductivity,gas_constant,heat_capacity,length,mag_flux,mass | m·ℓ·C·Φ·σ·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻¹·Φ⁻²·σ⁻¹·R·z | m = k₀ · ℓ⁻¹·C·Φ²·σ·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "heat_capacity": "-1", "mag_flux": "-2", "conductivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | cat_activity,gas_constant,heat_capacity,length,mag_flux,mass,resistivity | m·ℓ·C·Φ·ρ_e·R·z | chemistry,em,mechanics,thermo | m·ℓ·C⁻¹·Φ⁻²·ρ_e·R·z | m = k₀ · ℓ⁻¹·C·Φ²·ρ_e⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "length": "1", "heat_capacity": "-1", "mag_flux": "-2", "resistivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | elem_charge,gas_constant,heat_capacity,length,mag_flux,mass,molar_energy | m·ℓ·C·Φ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C·Φ⁻²·E_m·R⁻¹·e⁻² | m = k₀ · ℓ⁻²·C⁻¹·Φ²·E_m⁻¹·R·e² | null | 1 | 5 | 2 | 10 | 10 | -2 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "mag_flux": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-2"} |
7 | cat_activity,elem_charge,gas_constant,heat_capacity,length,mag_flux,mass | m·ℓ·C·Φ·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ²·C⁻¹·Φ⁻¹·R·z·e⁻¹ | m = k₀ · ℓ⁻²·C·Φ·R⁻¹·z⁻¹·e | null | 1 | 5 | 2 | 8 | 8.6 | -0.6 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "mag_flux": "-1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-1"} |
7 | conductivity,gas_constant,heat_capacity,length,mass,molar_energy,permittivity | m·ℓ·C·ε·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·ε⁻²·σ²·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·ε²·σ⁻²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "permittivity": "-2", "conductivity": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,heat_capacity,length,mass,molar_energy,permittivity,resistivity | m·ℓ·C·ε·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ²·C⁻¹·ε⁻²·ρ_e⁻²·E_m⁻¹·R | m = k₀ · ℓ⁻²·C·ε²·ρ_e²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "2", "heat_capacity": "-1", "permittivity": "-2", "resistivity": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | cat_activity,elem_charge,gas_constant,heat_capacity,length,mass,permittivity | m·ℓ·C·ε·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·C⁻²·ε·R²·z²·e⁻² | m = k₀ · ℓ⁻³·C²·ε⁻¹·R⁻²·z⁻²·e² | null | 1 | 5 | 3 | 13 | 12.6 | -4.6 | false | {"mass": "1", "length": "3", "heat_capacity": "-2", "permittivity": "1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-2"} |
7 | conductivity,gas_constant,heat_capacity,length,mass,molar_energy,permeability | m·ℓ·C·μ₀·σ·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·C⁻¹·μ₀⁻²·σ⁻²·E_m⁻¹·R | m = k₀ · ℓ²·C·μ₀²·σ²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "heat_capacity": "-1", "permeability": "-2", "conductivity": "-2", "molar_energy": "-1", "gas_constant": "1"} |
7 | gas_constant,heat_capacity,length,mass,molar_energy,permeability,resistivity | m·ℓ·C·μ₀·ρ_e·E_m·R | chemistry,em,mechanics,thermo | m·ℓ⁻²·C⁻¹·μ₀⁻²·ρ_e²·E_m⁻¹·R | m = k₀ · ℓ²·C·μ₀²·ρ_e⁻²·E_m·R⁻¹ | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "length": "-2", "heat_capacity": "-1", "permeability": "-2", "resistivity": "2", "molar_energy": "-1", "gas_constant": "1"} |
7 | conductivity,elem_charge,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·σ·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·C·σ²·E_m·R⁻¹·e⁻⁴ | m = k₀ · ℓ⁻⁴·C⁻¹·σ⁻²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "heat_capacity": "1", "conductivity": "2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | cat_activity,conductivity,elem_charge,gas_constant,heat_capacity,length,mass | m·ℓ·C·σ·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·C⁻¹·σ·R·z·e⁻² | m = k₀ · ℓ⁻³·C·σ⁻¹·R⁻¹·z⁻¹·e² | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "heat_capacity": "-1", "conductivity": "1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
7 | elem_charge,gas_constant,heat_capacity,length,mass,molar_energy,resistivity | m·ℓ·C·ρ_e·E_m·R·e | chemistry,constants,em,mechanics,thermo | m·ℓ⁴·C·ρ_e⁻²·E_m·R⁻¹·e⁻⁴ | m = k₀ · ℓ⁻⁴·C⁻¹·ρ_e²·E_m⁻¹·R·e⁴ | null | 1 | 5 | 4 | 14 | 13.8 | -5.8 | false | {"mass": "1", "length": "4", "heat_capacity": "1", "resistivity": "-2", "molar_energy": "1", "gas_constant": "-1", "elem_charge": "-4"} |
7 | cat_activity,elem_charge,gas_constant,heat_capacity,length,mass,resistivity | m·ℓ·C·ρ_e·R·z·e | chemistry,constants,em,mechanics,thermo | m·ℓ³·C⁻¹·ρ_e⁻¹·R·z·e⁻² | m = k₀ · ℓ⁻³·C·ρ_e·R⁻¹·z⁻¹·e² | null | 1 | 5 | 3 | 10 | 10.5 | -2.5 | false | {"mass": "1", "length": "3", "heat_capacity": "-1", "resistivity": "-1", "gas_constant": "1", "cat_activity": "1", "elem_charge": "-2"} |
6 | cat_activity,gas_constant,heat_capacity,length,mass,molar_energy | m·ℓ·C·E_m·R·z | chemistry,mechanics,thermo | m·ℓ²·C⁻³·E_m⁻¹·R³·z² | m = k₀ · ℓ⁻²·C³·E_m·R⁻³·z⁻² | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "length": "2", "heat_capacity": "-3", "molar_energy": "-1", "gas_constant": "3", "cat_activity": "2"} |
6 | gas_constant,grav_const,heat_capacity,length,mass,molar_energy | m·ℓ·C·E_m·R·G | chemistry,constants,mechanics,thermo | m²·ℓ⁻¹·C⁻¹·E_m⁻¹·R·G | ℓ = k₀ · m²·C⁻¹·E_m⁻¹·R·G | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "2", "length": "-1", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1", "grav_const": "1"} |
6 | gas_constant,heat_capacity,length,mass,molar_energy,planck | m·ℓ·C·E_m·R·h | chemistry,constants,mechanics,thermo | m·ℓ²·C·E_m·R⁻¹·h⁻² | m = k₀ · ℓ⁻²·C⁻¹·E_m⁻¹·R·h² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "length": "2", "heat_capacity": "1", "molar_energy": "1", "gas_constant": "-1", "planck": "-2"} |
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