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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5 | flowrate,length,mag_flux,mass,permeability | m·ℓ·Q·Φ·μ₀ | em,mechanics | m·ℓ⁻³·Q²·Φ⁻²·μ₀ | m = k₀ · ℓ³·Q⁻²·Φ²·μ₀⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-3", "flowrate": "2", "mag_flux": "-2", "permeability": "1"} |
5 | conductivity,flowrate,length,mag_flux,mass | m·ℓ·Q·Φ·σ | em,mechanics | m·ℓ⁻²·Q·Φ⁻²·σ⁻¹ | m = k₀ · ℓ²·Q⁻¹·Φ²·σ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "flowrate": "1", "mag_flux": "-2", "conductivity": "-1"} |
5 | flowrate,length,mag_flux,mass,resistivity | m·ℓ·Q·Φ·ρ_e | em,mechanics | m·ℓ⁻²·Q·Φ⁻²·ρ_e | m = k₀ · ℓ²·Q⁻¹·Φ²·ρ_e⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "flowrate": "1", "mag_flux": "-2", "resistivity": "1"} |
5 | elem_charge,flowrate,length,mag_flux,mass | m·ℓ·Q·Φ·e | constants,em,mechanics | m·ℓ⁻¹·Q·Φ⁻¹·e⁻¹ | m = k₀ · ℓ·Q⁻¹·Φ·e | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "-1", "flowrate": "1", "mag_flux": "-1", "elem_charge": "-1"} |
5 | elem_charge,flowrate,length,mass,permittivity | m·ℓ·Q·ε·e | constants,em,mechanics | m·ℓ⁻³·Q²·ε·e⁻² | m = k₀ · ℓ³·Q⁻²·ε⁻¹·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "flowrate": "2", "permittivity": "1", "elem_charge": "-2"} |
5 | amount,flowrate,length,mass,molar_energy | m·ℓ·Q·n·E_m | chemistry,mechanics | m·ℓ⁻⁴·Q²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁴·Q⁻²·n·E_m | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "length": "-4", "flowrate": "2", "amount": "-1", "molar_energy": "-1"} |
5 | cat_activity,flowrate,length,mass,molar_mass | m·ℓ·Q·M_m·z | chemistry,mechanics | m·ℓ⁻³·Q·M_m⁻¹·z⁻¹ | m = k₀ · ℓ³·Q⁻¹·M_m·z | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "length": "-3", "flowrate": "1", "molar_mass": "-1", "cat_activity": "-1"} |
5 | concentration,flowrate,length,mass,molar_energy | m·ℓ·Q·c_n·E_m | chemistry,mechanics | m·ℓ⁻⁷·Q²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁷·Q⁻²·c_n·E_m | null | 0 | 2 | 7 | 12 | 11.5 | -2 | false | {"mass": "1", "length": "-7", "flowrate": "2", "concentration": "-1", "molar_energy": "-1"} |
6 | boltzmann,flowrate,gas_constant,length,mass,molar_energy | m·ℓ·Q·E_m·R·k_B | chemistry,constants,mechanics | m·ℓ⁻⁴·Q²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁴·Q⁻²·E_m·R⁻¹·k_B | null | 1 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "length": "-4", "flowrate": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
5 | cat_activity,flowrate,length,mass,molar_energy | m·ℓ·Q·E_m·z | chemistry,mechanics | m·ℓ⁻⁷·Q³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁷·Q⁻³·E_m·z | null | 0 | 2 | 7 | 13 | 12.2 | -2.7 | false | {"mass": "1", "length": "-7", "flowrate": "3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | avogadro,flowrate,length,mass,molar_energy | m·ℓ·Q·E_m·N_A | chemistry,constants,mechanics | m·ℓ⁻⁴·Q²·E_m⁻¹·N_A | m = k₀ · ℓ⁴·Q⁻²·E_m·N_A⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "1", "length": "-4", "flowrate": "2", "molar_energy": "-1", "avogadro": "1"} |
4 | flowrate,grav_const,length,mass | m·ℓ·Q·G | constants,mechanics | m·ℓ³·Q⁻²·G | m = k₀ · ℓ⁻³·Q²·G⁻¹ | null | 1 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "length": "3", "flowrate": "-2", "grav_const": "1"} |
4 | flowrate,length,mass,planck | m·ℓ·Q·h | constants,mechanics | m·ℓ⁻¹·Q·h⁻¹ | m = k₀ · ℓ·Q⁻¹·h | null | 1 | 2 | 1 | 4 | 2.6 | 6.9 | true | {"mass": "1", "length": "-1", "flowrate": "1", "planck": "-1"} |
5 | entropy,length,mass,temperature,thermal_cond | m·ℓ·Θ·S_e·κ | mechanics,thermo | m·ℓ⁴·Θ⁻¹·S_e⁻³·κ² | m = k₀ · ℓ⁻⁴·Θ·S_e³·κ⁻² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "entropy": "-3", "thermal_cond": "2"} |
5 | entropy,length,mass,temperature,thermal_diff | m·ℓ·Θ·S_e·α | mechanics,thermo | m·ℓ⁻²·Θ⁻¹·S_e⁻¹·α² | m = k₀ · ℓ²·Θ·S_e·α⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "temperature": "-1", "entropy": "-1", "thermal_diff": "2"} |
6 | charge,current,entropy,length,mass,temperature | m·ℓ·Θ·S_e·q·i | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·q⁻²·i² | m = k₀ · ℓ⁻²·Θ·S_e·q²·i⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "charge": "-2", "current": "2"} |
6 | charge,entropy,length,mass,resistance,temperature | m·ℓ·Θ·S_e·q·R | em,mechanics,thermo | m·ℓ²·Θ·S_e·q⁻⁴·R⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·S_e⁻¹·q⁴·R² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "temperature": "1", "entropy": "1", "charge": "-4", "resistance": "-2"} |
6 | bfield,charge,entropy,length,mass,temperature | m·ℓ·Θ·S_e·q·B | em,mechanics,thermo | m·ℓ⁻²·Θ·S_e·q⁻²·B⁻² | m = k₀ · ℓ²·Θ⁻¹·S_e⁻¹·q²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "1", "entropy": "1", "charge": "-2", "bfield": "-2"} |
6 | charge,entropy,length,mag_flux,mass,temperature | m·ℓ·Θ·S_e·q·Φ | em,mechanics,thermo | m·ℓ²·Θ·S_e·q⁻²·Φ⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·S_e⁻¹·q²·Φ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "1", "entropy": "1", "charge": "-2", "mag_flux": "-2"} |
6 | charge,conductivity,entropy,length,mass,temperature | m·ℓ·Θ·S_e·q·σ | em,mechanics,thermo | m·ℓ⁴·Θ·S_e·q⁻⁴·σ² | m = k₀ · ℓ⁻⁴·Θ⁻¹·S_e⁻¹·q⁴·σ⁻² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "temperature": "1", "entropy": "1", "charge": "-4", "conductivity": "2"} |
6 | charge,entropy,length,mass,resistivity,temperature | m·ℓ·Θ·S_e·q·ρ_e | em,mechanics,thermo | m·ℓ⁴·Θ·S_e·q⁻⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁴·Θ⁻¹·S_e⁻¹·q⁴·ρ_e² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "temperature": "1", "entropy": "1", "charge": "-4", "resistivity": "-2"} |
6 | current,entropy,length,mass,temperature,voltage | m·ℓ·Θ·S_e·i·U | em,mechanics,thermo | m·ℓ²·Θ⁻³·S_e⁻³·i²·U² | m = k₀ · ℓ⁻²·Θ³·S_e³·i⁻²·U⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "temperature": "-3", "entropy": "-3", "current": "2", "voltage": "2"} |
6 | current,entropy,length,mass,resistance,temperature | m·ℓ·Θ·S_e·i·R | em,mechanics,thermo | m·ℓ²·Θ⁻³·S_e⁻³·i⁴·R² | m = k₀ · ℓ⁻²·Θ³·S_e³·i⁻⁴·R⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "2", "temperature": "-3", "entropy": "-3", "current": "4", "resistance": "2"} |
6 | capacitance,current,entropy,length,mass,temperature | m·ℓ·Θ·S_e·i·C_e | em,mechanics,thermo | m·ℓ²·Θ⁻²·S_e⁻²·i²·C_e⁻¹ | m = k₀ · ℓ⁻²·Θ²·S_e²·i⁻²·C_e | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "temperature": "-2", "entropy": "-2", "current": "2", "capacitance": "-1"} |
6 | current,efield,entropy,length,mass,temperature | m·ℓ·Θ·S_e·i·E_f | em,mechanics,thermo | m·ℓ⁴·Θ⁻³·S_e⁻³·i²·E_f² | m = k₀ · ℓ⁻⁴·Θ³·S_e³·i⁻²·E_f⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "temperature": "-3", "entropy": "-3", "current": "2", "efield": "2"} |
6 | current,entropy,length,mass,permittivity,temperature | m·ℓ·Θ·S_e·i·ε | em,mechanics,thermo | m·ℓ·Θ⁻²·S_e⁻²·i²·ε⁻¹ | m = k₀ · ℓ⁻¹·Θ²·S_e²·i⁻²·ε | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "temperature": "-2", "entropy": "-2", "current": "2", "permittivity": "-1"} |
6 | current,elem_charge,entropy,length,mass,temperature | m·ℓ·Θ·S_e·i·e | constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·i²·e⁻² | m = k₀ · ℓ⁻²·Θ·S_e·i⁻²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "current": "2", "elem_charge": "-2"} |
6 | entropy,length,mass,resistance,temperature,voltage | m·ℓ·Θ·S_e·U·R | em,mechanics,thermo | m·ℓ²·Θ⁻³·S_e⁻³·U⁴·R⁻² | m = k₀ · ℓ⁻²·Θ³·S_e³·U⁻⁴·R² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "2", "temperature": "-3", "entropy": "-3", "voltage": "4", "resistance": "-2"} |
6 | entropy,inductance,length,mass,temperature,voltage | m·ℓ·Θ·S_e·U·L_e | em,mechanics,thermo | m·ℓ²·Θ⁻²·S_e⁻²·U²·L_e⁻¹ | m = k₀ · ℓ⁻²·Θ²·S_e²·U⁻²·L_e | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "temperature": "-2", "entropy": "-2", "voltage": "2", "inductance": "-1"} |
6 | bfield,entropy,length,mass,temperature,voltage | m·ℓ·Θ·S_e·U·B | em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·S_e⁻¹·U²·B⁻² | m = k₀ · ℓ²·Θ·S_e·U⁻²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "entropy": "-1", "voltage": "2", "bfield": "-2"} |
6 | entropy,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·S_e·U·Φ | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·U²·Φ⁻² | m = k₀ · ℓ⁻²·Θ·S_e·U⁻²·Φ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "voltage": "2", "mag_flux": "-2"} |
6 | entropy,length,mass,permeability,temperature,voltage | m·ℓ·Θ·S_e·U·μ₀ | em,mechanics,thermo | m·ℓ·Θ⁻²·S_e⁻²·U²·μ₀⁻¹ | m = k₀ · ℓ⁻¹·Θ²·S_e²·U⁻²·μ₀ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "temperature": "-2", "entropy": "-2", "voltage": "2", "permeability": "-1"} |
6 | conductivity,entropy,length,mass,temperature,voltage | m·ℓ·Θ·S_e·U·σ | em,mechanics,thermo | m·ℓ⁴·Θ⁻³·S_e⁻³·U⁴·σ² | m = k₀ · ℓ⁻⁴·Θ³·S_e³·U⁻⁴·σ⁻² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "temperature": "-3", "entropy": "-3", "voltage": "4", "conductivity": "2"} |
6 | entropy,length,mass,resistivity,temperature,voltage | m·ℓ·Θ·S_e·U·ρ_e | em,mechanics,thermo | m·ℓ⁴·Θ⁻³·S_e⁻³·U⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁴·Θ³·S_e³·U⁻⁴·ρ_e² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "temperature": "-3", "entropy": "-3", "voltage": "4", "resistivity": "-2"} |
6 | capacitance,entropy,length,mass,resistance,temperature | m·ℓ·Θ·S_e·R·C_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·R⁻²·C_e⁻² | m = k₀ · ℓ⁻²·Θ·S_e·R²·C_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "resistance": "-2", "capacitance": "-2"} |
6 | entropy,inductance,length,mass,resistance,temperature | m·ℓ·Θ·S_e·R·L_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·R²·L_e⁻² | m = k₀ · ℓ⁻²·Θ·S_e·R⁻²·L_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "resistance": "2", "inductance": "-2"} |
6 | efield,entropy,length,mass,resistance,temperature | m·ℓ·Θ·S_e·R·E_f | em,mechanics,thermo | m·ℓ⁶·Θ⁻³·S_e⁻³·R⁻²·E_f⁴ | m = k₀ · ℓ⁻⁶·Θ³·S_e³·R²·E_f⁻⁴ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "6", "temperature": "-3", "entropy": "-3", "resistance": "-2", "efield": "4"} |
6 | bfield,entropy,length,mass,resistance,temperature | m·ℓ·Θ·S_e·R·B | em,mechanics,thermo | m·ℓ⁻⁶·Θ·S_e·R²·B⁻⁴ | m = k₀ · ℓ⁶·Θ⁻¹·S_e⁻¹·R⁻²·B⁴ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "-6", "temperature": "1", "entropy": "1", "resistance": "2", "bfield": "-4"} |
6 | entropy,length,mag_flux,mass,resistance,temperature | m·ℓ·Θ·S_e·R·Φ | em,mechanics,thermo | m·ℓ²·Θ·S_e·R²·Φ⁻⁴ | m = k₀ · ℓ⁻²·Θ⁻¹·S_e⁻¹·R⁻²·Φ⁴ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "temperature": "1", "entropy": "1", "resistance": "2", "mag_flux": "-4"} |
6 | elem_charge,entropy,length,mass,resistance,temperature | m·ℓ·Θ·S_e·R·e | constants,em,mechanics,thermo | m·ℓ²·Θ·S_e·R⁻²·e⁻⁴ | m = k₀ · ℓ⁻²·Θ⁻¹·S_e⁻¹·R²·e⁴ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "temperature": "1", "entropy": "1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,entropy,inductance,length,mass,temperature | m·ℓ·Θ·S_e·C_e·L_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·C_e⁻¹·L_e⁻¹ | m = k₀ · ℓ⁻²·Θ·S_e·C_e·L_e | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "capacitance": "-1", "inductance": "-1"} |
6 | capacitance,entropy,length,mass,permeability,temperature | m·ℓ·Θ·S_e·C_e·μ₀ | em,mechanics,thermo | m·ℓ·Θ⁻¹·S_e⁻¹·C_e⁻¹·μ₀⁻¹ | m = k₀ · ℓ⁻¹·Θ·S_e·C_e·μ₀ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "temperature": "-1", "entropy": "-1", "capacitance": "-1", "permeability": "-1"} |
6 | capacitance,conductivity,entropy,length,mass,temperature | m·ℓ·Θ·S_e·C_e·σ | em,mechanics,thermo | m·ℓ⁴·Θ⁻¹·S_e⁻¹·C_e⁻²·σ² | m = k₀ · ℓ⁻⁴·Θ·S_e·C_e²·σ⁻² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "entropy": "-1", "capacitance": "-2", "conductivity": "2"} |
6 | capacitance,entropy,length,mass,resistivity,temperature | m·ℓ·Θ·S_e·C_e·ρ_e | em,mechanics,thermo | m·ℓ⁴·Θ⁻¹·S_e⁻¹·C_e⁻²·ρ_e⁻² | m = k₀ · ℓ⁻⁴·Θ·S_e·C_e²·ρ_e² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "entropy": "-1", "capacitance": "-2", "resistivity": "-2"} |
6 | efield,entropy,inductance,length,mass,temperature | m·ℓ·Θ·S_e·L_e·E_f | em,mechanics,thermo | m·ℓ⁴·Θ⁻²·S_e⁻²·L_e⁻¹·E_f² | m = k₀ · ℓ⁻⁴·Θ²·S_e²·L_e·E_f⁻² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "4", "temperature": "-2", "entropy": "-2", "inductance": "-1", "efield": "2"} |
6 | entropy,inductance,length,mass,permittivity,temperature | m·ℓ·Θ·S_e·L_e·ε | em,mechanics,thermo | m·ℓ·Θ⁻¹·S_e⁻¹·L_e⁻¹·ε⁻¹ | m = k₀ · ℓ⁻¹·Θ·S_e·L_e·ε | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "temperature": "-1", "entropy": "-1", "inductance": "-1", "permittivity": "-1"} |
6 | efield,entropy,length,mag_flux,mass,temperature | m·ℓ·Θ·S_e·E_f·Φ | em,mechanics,thermo | m·ℓ⁴·Θ⁻¹·S_e⁻¹·E_f²·Φ⁻² | m = k₀ · ℓ⁻⁴·Θ·S_e·E_f⁻²·Φ² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "entropy": "-1", "efield": "2", "mag_flux": "-2"} |
6 | efield,entropy,length,mass,permeability,temperature | m·ℓ·Θ·S_e·E_f·μ₀ | em,mechanics,thermo | m·ℓ³·Θ⁻²·S_e⁻²·E_f²·μ₀⁻¹ | m = k₀ · ℓ⁻³·Θ²·S_e²·E_f⁻²·μ₀ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "temperature": "-2", "entropy": "-2", "efield": "2", "permeability": "-1"} |
6 | conductivity,efield,entropy,length,mass,temperature | m·ℓ·Θ·S_e·E_f·σ | em,mechanics,thermo | m·ℓ⁸·Θ⁻³·S_e⁻³·E_f⁴·σ² | m = k₀ · ℓ⁻⁸·Θ³·S_e³·E_f⁻⁴·σ⁻² | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "temperature": "-3", "entropy": "-3", "efield": "4", "conductivity": "2"} |
6 | efield,entropy,length,mass,resistivity,temperature | m·ℓ·Θ·S_e·E_f·ρ_e | em,mechanics,thermo | m·ℓ⁸·Θ⁻³·S_e⁻³·E_f⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁸·Θ³·S_e³·E_f⁻⁴·ρ_e² | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "temperature": "-3", "entropy": "-3", "efield": "4", "resistivity": "-2"} |
6 | bfield,conductivity,entropy,length,mass,temperature | m·ℓ·Θ·S_e·B·σ | em,mechanics,thermo | m·ℓ⁻⁸·Θ·S_e·B⁻⁴·σ⁻² | m = k₀ · ℓ⁸·Θ⁻¹·S_e⁻¹·B⁴·σ² | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "temperature": "1", "entropy": "1", "bfield": "-4", "conductivity": "-2"} |
6 | bfield,entropy,length,mass,resistivity,temperature | m·ℓ·Θ·S_e·B·ρ_e | em,mechanics,thermo | m·ℓ⁻⁸·Θ·S_e·B⁻⁴·ρ_e² | m = k₀ · ℓ⁸·Θ⁻¹·S_e⁻¹·B⁴·ρ_e⁻² | null | 0 | 3 | 8 | 17 | 16.4 | -7.4 | false | {"mass": "1", "length": "-8", "temperature": "1", "entropy": "1", "bfield": "-4", "resistivity": "2"} |
6 | bfield,elem_charge,entropy,length,mass,temperature | m·ℓ·Θ·S_e·B·e | constants,em,mechanics,thermo | m·ℓ⁻²·Θ·S_e·B⁻²·e⁻² | m = k₀ · ℓ²·Θ⁻¹·S_e⁻¹·B²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-2", "temperature": "1", "entropy": "1", "bfield": "-2", "elem_charge": "-2"} |
6 | elem_charge,entropy,length,mag_flux,mass,temperature | m·ℓ·Θ·S_e·Φ·e | constants,em,mechanics,thermo | m·ℓ²·Θ·S_e·Φ⁻²·e⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·S_e⁻¹·Φ²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "1", "entropy": "1", "mag_flux": "-2", "elem_charge": "-2"} |
6 | conductivity,entropy,length,mass,permittivity,temperature | m·ℓ·Θ·S_e·ε·σ | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·ε⁻²·σ² | m = k₀ · ℓ⁻²·Θ·S_e·ε²·σ⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "permittivity": "-2", "conductivity": "2"} |
6 | entropy,length,mass,permittivity,resistivity,temperature | m·ℓ·Θ·S_e·ε·ρ_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·ε⁻²·ρ_e⁻² | m = k₀ · ℓ⁻²·Θ·S_e·ε²·ρ_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "permittivity": "-2", "resistivity": "-2"} |
6 | conductivity,entropy,length,mass,permeability,temperature | m·ℓ·Θ·S_e·μ₀·σ | em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·S_e⁻¹·μ₀⁻²·σ⁻² | m = k₀ · ℓ²·Θ·S_e·μ₀²·σ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "entropy": "-1", "permeability": "-2", "conductivity": "-2"} |
6 | entropy,length,mass,permeability,resistivity,temperature | m·ℓ·Θ·S_e·μ₀·ρ_e | em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·S_e⁻¹·μ₀⁻²·ρ_e² | m = k₀ · ℓ²·Θ·S_e·μ₀²·ρ_e⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "entropy": "-1", "permeability": "-2", "resistivity": "2"} |
6 | conductivity,elem_charge,entropy,length,mass,temperature | m·ℓ·Θ·S_e·σ·e | constants,em,mechanics,thermo | m·ℓ⁴·Θ·S_e·σ²·e⁻⁴ | m = k₀ · ℓ⁻⁴·Θ⁻¹·S_e⁻¹·σ⁻²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "temperature": "1", "entropy": "1", "conductivity": "2", "elem_charge": "-4"} |
6 | elem_charge,entropy,length,mass,resistivity,temperature | m·ℓ·Θ·S_e·ρ_e·e | constants,em,mechanics,thermo | m·ℓ⁴·Θ·S_e·ρ_e⁻²·e⁻⁴ | m = k₀ · ℓ⁻⁴·Θ⁻¹·S_e⁻¹·ρ_e²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "4", "temperature": "1", "entropy": "1", "resistivity": "-2", "elem_charge": "-4"} |
6 | amount,cat_activity,entropy,length,mass,temperature | m·ℓ·Θ·S_e·n·z | chemistry,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·n⁻²·z² | m = k₀ · ℓ⁻²·Θ·S_e·n²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "amount": "-2", "cat_activity": "2"} |
6 | cat_activity,entropy,length,mass,molar_mass,temperature | m·ℓ·Θ·S_e·M_m·z | chemistry,mechanics,thermo | m·ℓ⁻²·Θ·S_e·M_m⁻²·z⁻² | m = k₀ · ℓ²·Θ⁻¹·S_e⁻¹·M_m²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "1", "entropy": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | cat_activity,concentration,entropy,length,mass,temperature | m·ℓ·Θ·S_e·c_n·z | chemistry,mechanics,thermo | m·ℓ⁻⁴·Θ⁻¹·S_e⁻¹·c_n⁻²·z² | m = k₀ · ℓ⁴·Θ·S_e·c_n²·z⁻² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "-4", "temperature": "-1", "entropy": "-1", "concentration": "-2", "cat_activity": "2"} |
6 | cat_activity,entropy,length,mass,molar_energy,temperature | m·ℓ·Θ·S_e·E_m·z | chemistry,mechanics,thermo | m·ℓ²·Θ⁻³·S_e⁻³·E_m²·z² | m = k₀ · ℓ⁻²·Θ³·S_e³·E_m⁻²·z⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "temperature": "-3", "entropy": "-3", "molar_energy": "2", "cat_activity": "2"} |
6 | cat_activity,entropy,gas_constant,length,mass,temperature | m·ℓ·Θ·S_e·R·z | chemistry,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻³·R²·z² | m = k₀ · ℓ⁻²·Θ·S_e³·R⁻²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-3", "gas_constant": "2", "cat_activity": "2"} |
6 | avogadro,cat_activity,entropy,length,mass,temperature | m·ℓ·Θ·S_e·z·N_A | chemistry,constants,mechanics,thermo | m·ℓ²·Θ⁻¹·S_e⁻¹·z²·N_A² | m = k₀ · ℓ⁻²·Θ·S_e·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "entropy": "-1", "cat_activity": "2", "avogadro": "2"} |
5 | entropy,grav_const,length,mass,temperature | m·ℓ·Θ·S_e·G | constants,mechanics,thermo | m²·ℓ⁻¹·Θ⁻¹·S_e⁻¹·G | ℓ = k₀ · m²·Θ⁻¹·S_e⁻¹·G | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "2", "length": "-1", "temperature": "-1", "entropy": "-1", "grav_const": "1"} |
5 | entropy,length,mass,planck,temperature | m·ℓ·Θ·S_e·h | constants,mechanics,thermo | m·ℓ²·Θ·S_e·h⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·S_e⁻¹·h² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "temperature": "1", "entropy": "1", "planck": "-2"} |
5 | heat_capacity,length,mass,temperature,thermal_cond | m·ℓ·Θ·C·κ | mechanics,thermo | m·ℓ⁴·Θ⁻¹·C⁻³·κ² | m = k₀ · ℓ⁻⁴·Θ·C³·κ⁻² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "heat_capacity": "-3", "thermal_cond": "2"} |
5 | heat_capacity,length,mass,temperature,thermal_diff | m·ℓ·Θ·C·α | mechanics,thermo | m·ℓ⁻²·Θ⁻¹·C⁻¹·α² | m = k₀ · ℓ²·Θ·C·α⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "temperature": "-1", "heat_capacity": "-1", "thermal_diff": "2"} |
6 | charge,current,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·q·i | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·q⁻²·i² | m = k₀ · ℓ⁻²·Θ·C·q²·i⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "charge": "-2", "current": "2"} |
6 | charge,heat_capacity,length,mass,resistance,temperature | m·ℓ·Θ·C·q·R | em,mechanics,thermo | m·ℓ²·Θ·C·q⁻⁴·R⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·C⁻¹·q⁴·R² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "temperature": "1", "heat_capacity": "1", "charge": "-4", "resistance": "-2"} |
6 | bfield,charge,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·q·B | em,mechanics,thermo | m·ℓ⁻²·Θ·C·q⁻²·B⁻² | m = k₀ · ℓ²·Θ⁻¹·C⁻¹·q²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "1", "heat_capacity": "1", "charge": "-2", "bfield": "-2"} |
6 | charge,heat_capacity,length,mag_flux,mass,temperature | m·ℓ·Θ·C·q·Φ | em,mechanics,thermo | m·ℓ²·Θ·C·q⁻²·Φ⁻² | m = k₀ · ℓ⁻²·Θ⁻¹·C⁻¹·q²·Φ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "1", "heat_capacity": "1", "charge": "-2", "mag_flux": "-2"} |
6 | charge,conductivity,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·q·σ | em,mechanics,thermo | m·ℓ⁴·Θ·C·q⁻⁴·σ² | m = k₀ · ℓ⁻⁴·Θ⁻¹·C⁻¹·q⁴·σ⁻² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "temperature": "1", "heat_capacity": "1", "charge": "-4", "conductivity": "2"} |
6 | charge,heat_capacity,length,mass,resistivity,temperature | m·ℓ·Θ·C·q·ρ_e | em,mechanics,thermo | m·ℓ⁴·Θ·C·q⁻⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁴·Θ⁻¹·C⁻¹·q⁴·ρ_e² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "4", "temperature": "1", "heat_capacity": "1", "charge": "-4", "resistivity": "-2"} |
6 | current,heat_capacity,length,mass,temperature,voltage | m·ℓ·Θ·C·i·U | em,mechanics,thermo | m·ℓ²·Θ⁻³·C⁻³·i²·U² | m = k₀ · ℓ⁻²·Θ³·C³·i⁻²·U⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "length": "2", "temperature": "-3", "heat_capacity": "-3", "current": "2", "voltage": "2"} |
6 | current,heat_capacity,length,mass,resistance,temperature | m·ℓ·Θ·C·i·R | em,mechanics,thermo | m·ℓ²·Θ⁻³·C⁻³·i⁴·R² | m = k₀ · ℓ⁻²·Θ³·C³·i⁻⁴·R⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "2", "temperature": "-3", "heat_capacity": "-3", "current": "4", "resistance": "2"} |
6 | capacitance,current,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·i·C_e | em,mechanics,thermo | m·ℓ²·Θ⁻²·C⁻²·i²·C_e⁻¹ | m = k₀ · ℓ⁻²·Θ²·C²·i⁻²·C_e | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "temperature": "-2", "heat_capacity": "-2", "current": "2", "capacitance": "-1"} |
6 | current,efield,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·i·E_f | em,mechanics,thermo | m·ℓ⁴·Θ⁻³·C⁻³·i²·E_f² | m = k₀ · ℓ⁻⁴·Θ³·C³·i⁻²·E_f⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "4", "temperature": "-3", "heat_capacity": "-3", "current": "2", "efield": "2"} |
6 | current,heat_capacity,length,mass,permittivity,temperature | m·ℓ·Θ·C·i·ε | em,mechanics,thermo | m·ℓ·Θ⁻²·C⁻²·i²·ε⁻¹ | m = k₀ · ℓ⁻¹·Θ²·C²·i⁻²·ε | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "temperature": "-2", "heat_capacity": "-2", "current": "2", "permittivity": "-1"} |
6 | current,elem_charge,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·i·e | constants,em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·i²·e⁻² | m = k₀ · ℓ⁻²·Θ·C·i⁻²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "current": "2", "elem_charge": "-2"} |
6 | heat_capacity,length,mass,resistance,temperature,voltage | m·ℓ·Θ·C·U·R | em,mechanics,thermo | m·ℓ²·Θ⁻³·C⁻³·U⁴·R⁻² | m = k₀ · ℓ⁻²·Θ³·C³·U⁻⁴·R² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "length": "2", "temperature": "-3", "heat_capacity": "-3", "voltage": "4", "resistance": "-2"} |
6 | heat_capacity,inductance,length,mass,temperature,voltage | m·ℓ·Θ·C·U·L_e | em,mechanics,thermo | m·ℓ²·Θ⁻²·C⁻²·U²·L_e⁻¹ | m = k₀ · ℓ⁻²·Θ²·C²·U⁻²·L_e | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "length": "2", "temperature": "-2", "heat_capacity": "-2", "voltage": "2", "inductance": "-1"} |
6 | bfield,heat_capacity,length,mass,temperature,voltage | m·ℓ·Θ·C·U·B | em,mechanics,thermo | m·ℓ⁻²·Θ⁻¹·C⁻¹·U²·B⁻² | m = k₀ · ℓ²·Θ·C·U⁻²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-2", "temperature": "-1", "heat_capacity": "-1", "voltage": "2", "bfield": "-2"} |
6 | heat_capacity,length,mag_flux,mass,temperature,voltage | m·ℓ·Θ·C·U·Φ | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·U²·Φ⁻² | m = k₀ · ℓ⁻²·Θ·C·U⁻²·Φ² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "voltage": "2", "mag_flux": "-2"} |
6 | heat_capacity,length,mass,permeability,temperature,voltage | m·ℓ·Θ·C·U·μ₀ | em,mechanics,thermo | m·ℓ·Θ⁻²·C⁻²·U²·μ₀⁻¹ | m = k₀ · ℓ⁻¹·Θ²·C²·U⁻²·μ₀ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "temperature": "-2", "heat_capacity": "-2", "voltage": "2", "permeability": "-1"} |
6 | conductivity,heat_capacity,length,mass,temperature,voltage | m·ℓ·Θ·C·U·σ | em,mechanics,thermo | m·ℓ⁴·Θ⁻³·C⁻³·U⁴·σ² | m = k₀ · ℓ⁻⁴·Θ³·C³·U⁻⁴·σ⁻² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "temperature": "-3", "heat_capacity": "-3", "voltage": "4", "conductivity": "2"} |
6 | heat_capacity,length,mass,resistivity,temperature,voltage | m·ℓ·Θ·C·U·ρ_e | em,mechanics,thermo | m·ℓ⁴·Θ⁻³·C⁻³·U⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁴·Θ³·C³·U⁻⁴·ρ_e² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "length": "4", "temperature": "-3", "heat_capacity": "-3", "voltage": "4", "resistivity": "-2"} |
6 | capacitance,heat_capacity,length,mass,resistance,temperature | m·ℓ·Θ·C·R·C_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·R⁻²·C_e⁻² | m = k₀ · ℓ⁻²·Θ·C·R²·C_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "resistance": "-2", "capacitance": "-2"} |
6 | heat_capacity,inductance,length,mass,resistance,temperature | m·ℓ·Θ·C·R·L_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·R²·L_e⁻² | m = k₀ · ℓ⁻²·Θ·C·R⁻²·L_e² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "resistance": "2", "inductance": "-2"} |
6 | efield,heat_capacity,length,mass,resistance,temperature | m·ℓ·Θ·C·R·E_f | em,mechanics,thermo | m·ℓ⁶·Θ⁻³·C⁻³·R⁻²·E_f⁴ | m = k₀ · ℓ⁻⁶·Θ³·C³·R²·E_f⁻⁴ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "1", "length": "6", "temperature": "-3", "heat_capacity": "-3", "resistance": "-2", "efield": "4"} |
6 | bfield,heat_capacity,length,mass,resistance,temperature | m·ℓ·Θ·C·R·B | em,mechanics,thermo | m·ℓ⁻⁶·Θ·C·R²·B⁻⁴ | m = k₀ · ℓ⁶·Θ⁻¹·C⁻¹·R⁻²·B⁴ | null | 0 | 3 | 6 | 15 | 14 | -5 | false | {"mass": "1", "length": "-6", "temperature": "1", "heat_capacity": "1", "resistance": "2", "bfield": "-4"} |
6 | heat_capacity,length,mag_flux,mass,resistance,temperature | m·ℓ·Θ·C·R·Φ | em,mechanics,thermo | m·ℓ²·Θ·C·R²·Φ⁻⁴ | m = k₀ · ℓ⁻²·Θ⁻¹·C⁻¹·R⁻²·Φ⁴ | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "2", "temperature": "1", "heat_capacity": "1", "resistance": "2", "mag_flux": "-4"} |
6 | elem_charge,heat_capacity,length,mass,resistance,temperature | m·ℓ·Θ·C·R·e | constants,em,mechanics,thermo | m·ℓ²·Θ·C·R⁻²·e⁻⁴ | m = k₀ · ℓ⁻²·Θ⁻¹·C⁻¹·R²·e⁴ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "temperature": "1", "heat_capacity": "1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,heat_capacity,inductance,length,mass,temperature | m·ℓ·Θ·C·C_e·L_e | em,mechanics,thermo | m·ℓ²·Θ⁻¹·C⁻¹·C_e⁻¹·L_e⁻¹ | m = k₀ · ℓ⁻²·Θ·C·C_e·L_e | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "2", "temperature": "-1", "heat_capacity": "-1", "capacitance": "-1", "inductance": "-1"} |
6 | capacitance,heat_capacity,length,mass,permeability,temperature | m·ℓ·Θ·C·C_e·μ₀ | em,mechanics,thermo | m·ℓ·Θ⁻¹·C⁻¹·C_e⁻¹·μ₀⁻¹ | m = k₀ · ℓ⁻¹·Θ·C·C_e·μ₀ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "temperature": "-1", "heat_capacity": "-1", "capacitance": "-1", "permeability": "-1"} |
6 | capacitance,conductivity,heat_capacity,length,mass,temperature | m·ℓ·Θ·C·C_e·σ | em,mechanics,thermo | m·ℓ⁴·Θ⁻¹·C⁻¹·C_e⁻²·σ² | m = k₀ · ℓ⁻⁴·Θ·C·C_e²·σ⁻² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "heat_capacity": "-1", "capacitance": "-2", "conductivity": "2"} |
6 | capacitance,heat_capacity,length,mass,resistivity,temperature | m·ℓ·Θ·C·C_e·ρ_e | em,mechanics,thermo | m·ℓ⁴·Θ⁻¹·C⁻¹·C_e⁻²·ρ_e⁻² | m = k₀ · ℓ⁻⁴·Θ·C·C_e²·ρ_e² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "temperature": "-1", "heat_capacity": "-1", "capacitance": "-2", "resistivity": "-2"} |
6 | efield,heat_capacity,inductance,length,mass,temperature | m·ℓ·Θ·C·L_e·E_f | em,mechanics,thermo | m·ℓ⁴·Θ⁻²·C⁻²·L_e⁻¹·E_f² | m = k₀ · ℓ⁻⁴·Θ²·C²·L_e·E_f⁻² | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "1", "length": "4", "temperature": "-2", "heat_capacity": "-2", "inductance": "-1", "efield": "2"} |
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