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 | efield,gravity,length,mass,permeability | m·ℓ·g·E_f·μ₀ | em,mechanics | m·ℓ⁻¹·g²·E_f⁻²·μ₀ | m = k₀ · ℓ·g⁻²·E_f²·μ₀⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "gravity": "2", "efield": "-2", "permeability": "1"} |
5 | conductivity,efield,gravity,length,mass | m·ℓ·g·E_f·σ | em,mechanics | m²·ℓ⁻⁵·g³·E_f⁻⁴·σ⁻² | m = k₀ · ℓ⁵ᐟ²·g⁻³ᐟ²·E_f²·σ | null | 0 | 2 | 5 | 16 | 13.3 | -3.8 | false | {"mass": "2", "length": "-5", "gravity": "3", "efield": "-4", "conductivity": "-2"} |
5 | efield,gravity,length,mass,resistivity | m·ℓ·g·E_f·ρ_e | em,mechanics | m²·ℓ⁻⁵·g³·E_f⁻⁴·ρ_e² | m = k₀ · ℓ⁵ᐟ²·g⁻³ᐟ²·E_f²·ρ_e⁻¹ | null | 0 | 2 | 5 | 16 | 13.3 | -3.8 | false | {"mass": "2", "length": "-5", "gravity": "3", "efield": "-4", "resistivity": "2"} |
5 | bfield,gravity,length,mass,permeability | m·ℓ·g·B·μ₀ | em,mechanics | m·ℓ⁻²·g·B⁻²·μ₀ | m = k₀ · ℓ²·g⁻¹·B²·μ₀⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-2", "gravity": "1", "bfield": "-2", "permeability": "1"} |
5 | bfield,conductivity,gravity,length,mass | m·ℓ·g·B·σ | em,mechanics | m²·ℓ⁻⁷·g·B⁻⁴·σ⁻² | g = k₀ · m⁻²·ℓ⁷·B⁴·σ² | null | 0 | 2 | 7 | 16 | 14.3 | -4.8 | false | {"mass": "2", "length": "-7", "gravity": "1", "bfield": "-4", "conductivity": "-2"} |
5 | bfield,gravity,length,mass,resistivity | m·ℓ·g·B·ρ_e | em,mechanics | m²·ℓ⁻⁷·g·B⁻⁴·ρ_e² | g = k₀ · m⁻²·ℓ⁷·B⁴·ρ_e⁻² | null | 0 | 2 | 7 | 16 | 14.3 | -4.8 | false | {"mass": "2", "length": "-7", "gravity": "1", "bfield": "-4", "resistivity": "2"} |
5 | bfield,elem_charge,gravity,length,mass | m·ℓ·g·B·e | constants,em,mechanics | m²·ℓ⁻¹·g·B⁻²·e⁻² | ℓ = k₀ · m²·g·B⁻²·e⁻² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "2", "length": "-1", "gravity": "1", "bfield": "-2", "elem_charge": "-2"} |
5 | gravity,length,mag_flux,mass,permeability | m·ℓ·g·Φ·μ₀ | em,mechanics | m·ℓ²·g·Φ⁻²·μ₀ | m = k₀ · ℓ⁻²·g⁻¹·Φ²·μ₀⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "2", "gravity": "1", "mag_flux": "-2", "permeability": "1"} |
5 | conductivity,gravity,length,mag_flux,mass | m·ℓ·g·Φ·σ | em,mechanics | m²·ℓ·g·Φ⁻⁴·σ⁻² | ℓ = k₀ · m⁻²·g⁻¹·Φ⁴·σ² | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "2", "length": "1", "gravity": "1", "mag_flux": "-4", "conductivity": "-2"} |
5 | gravity,length,mag_flux,mass,resistivity | m·ℓ·g·Φ·ρ_e | em,mechanics | m²·ℓ·g·Φ⁻⁴·ρ_e² | ℓ = k₀ · m⁻²·g⁻¹·Φ⁴·ρ_e⁻² | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "2", "length": "1", "gravity": "1", "mag_flux": "-4", "resistivity": "2"} |
5 | elem_charge,gravity,length,mag_flux,mass | m·ℓ·g·Φ·e | constants,em,mechanics | m²·ℓ³·g·Φ⁻²·e⁻² | g = k₀ · m⁻²·ℓ⁻³·Φ²·e² | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "2", "length": "3", "gravity": "1", "mag_flux": "-2", "elem_charge": "-2"} |
5 | elem_charge,gravity,length,mass,permittivity | m·ℓ·g·ε·e | constants,em,mechanics | m·ℓ²·g·ε·e⁻² | m = k₀ · ℓ⁻²·g⁻¹·ε⁻¹·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "2", "gravity": "1", "permittivity": "1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,gravity,length,mass | m·ℓ·g·σ·e | constants,em,mechanics | m²·ℓ⁵·g·σ²·e⁻⁴ | g = k₀ · m⁻²·ℓ⁻⁵·σ⁻²·e⁴ | null | 1 | 3 | 5 | 14 | 12.5 | -3.5 | false | {"mass": "2", "length": "5", "gravity": "1", "conductivity": "2", "elem_charge": "-4"} |
5 | elem_charge,gravity,length,mass,resistivity | m·ℓ·g·ρ_e·e | constants,em,mechanics | m²·ℓ⁵·g·ρ_e⁻²·e⁻⁴ | g = k₀ · m⁻²·ℓ⁻⁵·ρ_e²·e⁴ | null | 1 | 3 | 5 | 14 | 12.5 | -3.5 | false | {"mass": "2", "length": "5", "gravity": "1", "resistivity": "-2", "elem_charge": "-4"} |
5 | amount,gravity,length,mass,molar_energy | m·ℓ·g·n·E_m | chemistry,mechanics | m·ℓ·g·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻¹·g⁻¹·n·E_m | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "length": "1", "gravity": "1", "amount": "-1", "molar_energy": "-1"} |
5 | cat_activity,gravity,length,mass,molar_mass | m·ℓ·g·M_m·z | chemistry,mechanics | m²·ℓ⁻¹·g·M_m⁻²·z⁻² | ℓ = k₀ · m²·g·M_m⁻²·z⁻² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "2", "length": "-1", "gravity": "1", "molar_mass": "-2", "cat_activity": "-2"} |
5 | concentration,gravity,length,mass,molar_energy | m·ℓ·g·c_n·E_m | chemistry,mechanics | m·ℓ⁻²·g·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ²·g⁻¹·c_n·E_m | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "length": "-2", "gravity": "1", "concentration": "-1", "molar_energy": "-1"} |
6 | boltzmann,gas_constant,gravity,length,mass,molar_energy | m·ℓ·g·E_m·R·k_B | chemistry,constants,mechanics | m·ℓ·g·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻¹·g⁻¹·E_m·R⁻¹·k_B | null | 1 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "gravity": "1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
5 | cat_activity,gravity,length,mass,molar_energy | m·ℓ·g·E_m·z | chemistry,mechanics | m²·ℓ·g³·E_m⁻²·z⁻² | ℓ = k₀ · m⁻²·g⁻³·E_m²·z² | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "2", "length": "1", "gravity": "3", "molar_energy": "-2", "cat_activity": "-2"} |
5 | avogadro,gravity,length,mass,molar_energy | m·ℓ·g·E_m·N_A | chemistry,constants,mechanics | m·ℓ·g·E_m⁻¹·N_A | m = k₀ · ℓ⁻¹·g⁻¹·E_m·N_A⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "1", "gravity": "1", "molar_energy": "-1", "avogadro": "1"} |
4 | grav_const,gravity,length,mass | m·ℓ·g·G | constants,mechanics | m·ℓ⁻²·g⁻¹·G | m = k₀ · ℓ²·g·G⁻¹ | null | 1 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "length": "-2", "gravity": "-1", "grav_const": "1"} |
4 | gravity,length,mass,planck | m·ℓ·g·h | constants,mechanics | m²·ℓ³·g·h⁻² | g = k₀ · m⁻²·ℓ⁻³·h² | null | 1 | 2 | 3 | 8 | 6.4 | 3.1 | true | {"mass": "2", "length": "3", "gravity": "1", "planck": "-2"} |
4 | force,length,mass,power | m·ℓ·F·P | mechanics | m·ℓ⁻¹·F⁻³·P² | m = k₀ · ℓ·F³·P⁻² | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "length": "-1", "force": "-3", "power": "2"} |
4 | force,length,mass,momentum | m·ℓ·F·p | mechanics | m·ℓ·F·p⁻² | m = k₀ · ℓ⁻¹·F⁻¹·p² | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "length": "1", "force": "1", "momentum": "-2"} |
4 | ang_momentum,force,length,mass | m·ℓ·F·Lₐ | mechanics | m·ℓ³·F·Lₐ⁻² | m = k₀ · ℓ⁻³·F⁻¹·Lₐ² | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "length": "3", "force": "1", "ang_momentum": "-2"} |
4 | action,force,length,mass | m·ℓ·F·S | mechanics | m·ℓ³·F·S⁻² | m = k₀ · ℓ⁻³·F⁻¹·S² | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "length": "3", "force": "1", "action": "-2"} |
4 | force,length,mass,viscosity | m·ℓ·F·μ | mechanics | m·ℓ⁻³·F·μ⁻² | m = k₀ · ℓ³·F⁻¹·μ² | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "length": "-3", "force": "1", "viscosity": "-2"} |
4 | force,kin_viscosity,length,mass | m·ℓ·F·ν | mechanics | m·ℓ⁻³·F⁻¹·ν² | m = k₀ · ℓ³·F·ν⁻² | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "length": "-3", "force": "-1", "kin_viscosity": "2"} |
4 | force,length,mass,omega | m·ℓ·F·ω | mechanics | m·ℓ·F⁻¹·ω² | m = k₀ · ℓ⁻¹·F·ω⁻² | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "length": "1", "force": "-1", "omega": "2"} |
4 | force,frequency,length,mass | m·ℓ·F·f | mechanics | m·ℓ·F⁻¹·f² | m = k₀ · ℓ⁻¹·F·f⁻² | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "length": "1", "force": "-1", "frequency": "2"} |
4 | flowrate,force,length,mass | m·ℓ·F·Q | mechanics | m·ℓ⁻⁵·F⁻¹·Q² | m = k₀ · ℓ⁵·F·Q⁻² | null | 0 | 1 | 5 | 9 | 7.5 | 2.5 | false | {"mass": "1", "length": "-5", "force": "-1", "flowrate": "2"} |
5 | force,length,mass,specific_heat,temperature | m·ℓ·F·Θ·c | mechanics,thermo | m·ℓ⁻¹·F⁻¹·Θ·c | m = k₀ · ℓ·F·Θ⁻¹·c⁻¹ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "length": "-1", "force": "-1", "temperature": "1", "specific_heat": "1"} |
5 | force,length,mass,temperature,thermal_cond | m·ℓ·F·Θ·κ | mechanics,thermo | m·ℓ·F⁻³·Θ²·κ² | m = k₀ · ℓ⁻¹·F³·Θ⁻²·κ⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "1", "force": "-3", "temperature": "2", "thermal_cond": "2"} |
6 | force,gas_constant,length,mass,molar_mass,temperature | m·ℓ·F·Θ·M_m·R | chemistry,mechanics,thermo | m·ℓ⁻¹·F⁻¹·Θ·M_m⁻¹·R | m = k₀ · ℓ·F·Θ⁻¹·M_m·R⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "force": "-1", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"} |
6 | cat_activity,force,gas_constant,length,mass,temperature | m·ℓ·F·Θ·R·z | chemistry,mechanics,thermo | m·ℓ⁻¹·F⁻³·Θ²·R²·z² | m = k₀ · ℓ·F³·Θ⁻²·R⁻²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-1", "force": "-3", "temperature": "2", "gas_constant": "2", "cat_activity": "2"} |
5 | entropy,force,length,mass,thermal_cond | m·ℓ·F·S_e·κ | mechanics,thermo | m·ℓ³·F⁻¹·S_e⁻²·κ² | m = k₀ · ℓ⁻³·F·S_e²·κ⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "force": "-1", "entropy": "-2", "thermal_cond": "2"} |
6 | cat_activity,entropy,force,gas_constant,length,mass | m·ℓ·F·S_e·R·z | chemistry,mechanics,thermo | m·ℓ·F⁻¹·S_e⁻²·R²·z² | m = k₀ · ℓ⁻¹·F·S_e²·R⁻²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "force": "-1", "entropy": "-2", "gas_constant": "2", "cat_activity": "2"} |
5 | force,heat_capacity,length,mass,thermal_cond | m·ℓ·F·C·κ | mechanics,thermo | m·ℓ³·F⁻¹·C⁻²·κ² | m = k₀ · ℓ⁻³·F·C²·κ⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "force": "-1", "heat_capacity": "-2", "thermal_cond": "2"} |
6 | cat_activity,force,gas_constant,heat_capacity,length,mass | m·ℓ·F·C·R·z | chemistry,mechanics,thermo | m·ℓ·F⁻¹·C⁻²·R²·z² | m = k₀ · ℓ⁻¹·F·C²·R⁻²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "force": "-1", "heat_capacity": "-2", "gas_constant": "2", "cat_activity": "2"} |
5 | force,length,mass,specific_heat,thermal_cond | m·ℓ·F·c·κ | mechanics,thermo | m·ℓ⁻³·F·c²·κ⁻² | m = k₀ · ℓ³·F⁻¹·c⁻²·κ² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-3", "force": "1", "specific_heat": "2", "thermal_cond": "-2"} |
5 | expansion,force,length,mass,specific_heat | m·ℓ·F·c·β | mechanics,thermo | m·ℓ⁻¹·F⁻¹·c·β⁻¹ | m = k₀ · ℓ·F·c⁻¹·β | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "length": "-1", "force": "-1", "specific_heat": "1", "expansion": "-1"} |
6 | force,gas_constant,length,mass,molar_energy,specific_heat | m·ℓ·F·c·E_m·R | chemistry,mechanics,thermo | m·ℓ⁻¹·F⁻¹·c·E_m·R⁻¹ | m = k₀ · ℓ·F·c⁻¹·E_m⁻¹·R | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "force": "-1", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"} |
6 | cat_activity,force,gas_constant,length,mass,specific_heat | m·ℓ·F·c·R·z | chemistry,mechanics,thermo | m·ℓ⁻¹·F·c²·R⁻²·z⁻² | m = k₀ · ℓ·F⁻¹·c⁻²·R²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "force": "1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"} |
5 | expansion,force,length,mass,thermal_cond | m·ℓ·F·κ·β | mechanics,thermo | m·ℓ·F⁻³·κ²·β⁻² | m = k₀ · ℓ⁻¹·F³·κ⁻²·β² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "1", "force": "-3", "thermal_cond": "2", "expansion": "-2"} |
6 | amount,force,gas_constant,length,mass,thermal_cond | m·ℓ·F·κ·n·R | chemistry,mechanics,thermo | m·ℓ³·F⁻¹·κ²·n⁻²·R⁻² | m = k₀ · ℓ⁻³·F·κ⁻²·n²·R² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "force": "-1", "thermal_cond": "2", "amount": "-2", "gas_constant": "-2"} |
6 | force,gas_constant,length,mass,molar_mass,thermal_cond | m·ℓ·F·κ·M_m·R | chemistry,mechanics,thermo | m·ℓ⁻³·F·κ⁻²·M_m⁻²·R² | m = k₀ · ℓ³·F⁻¹·κ²·M_m²·R⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "force": "1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"} |
6 | concentration,force,gas_constant,length,mass,thermal_cond | m·ℓ·F·κ·c_n·R | chemistry,mechanics,thermo | m·ℓ⁻³·F⁻¹·κ²·c_n⁻²·R⁻² | m = k₀ · ℓ³·F·κ⁻²·c_n²·R² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "force": "-1", "thermal_cond": "2", "concentration": "-2", "gas_constant": "-2"} |
6 | force,gas_constant,length,mass,molar_energy,thermal_cond | m·ℓ·F·κ·E_m·R | chemistry,mechanics,thermo | m·ℓ·F⁻³·κ²·E_m²·R⁻² | m = k₀ · ℓ⁻¹·F³·κ⁻²·E_m⁻²·R² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "1", "force": "-3", "thermal_cond": "2", "molar_energy": "2", "gas_constant": "-2"} |
6 | avogadro,force,gas_constant,length,mass,thermal_cond | m·ℓ·F·κ·R·N_A | chemistry,constants,mechanics,thermo | m·ℓ³·F⁻¹·κ²·R⁻²·N_A² | m = k₀ · ℓ⁻³·F·κ⁻²·R²·N_A⁻² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "3", "force": "-1", "thermal_cond": "2", "gas_constant": "-2", "avogadro": "2"} |
5 | boltzmann,force,length,mass,thermal_cond | m·ℓ·F·κ·k_B | constants,mechanics,thermo | m·ℓ³·F⁻¹·κ²·k_B⁻² | m = k₀ · ℓ⁻³·F·κ⁻²·k_B² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "3", "force": "-1", "thermal_cond": "2", "boltzmann": "-2"} |
4 | force,length,mass,thermal_diff | m·ℓ·F·α | mechanics,thermo | m·ℓ⁻³·F⁻¹·α² | m = k₀ · ℓ³·F·α⁻² | null | 0 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "length": "-3", "force": "-1", "thermal_diff": "2"} |
6 | expansion,force,gas_constant,length,mass,molar_mass | m·ℓ·F·β·M_m·R | chemistry,mechanics,thermo | m·ℓ⁻¹·F⁻¹·β⁻¹·M_m⁻¹·R | m = k₀ · ℓ·F·β·M_m·R⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "force": "-1", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"} |
6 | cat_activity,expansion,force,gas_constant,length,mass | m·ℓ·F·β·R·z | chemistry,mechanics,thermo | m·ℓ⁻¹·F⁻³·β⁻²·R²·z² | m = k₀ · ℓ·F³·β²·R⁻²·z⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-1", "force": "-3", "expansion": "-2", "gas_constant": "2", "cat_activity": "2"} |
5 | charge,current,force,length,mass | m·ℓ·F·q·i | em,mechanics | m·ℓ·F⁻¹·q⁻²·i² | m = k₀ · ℓ⁻¹·F·q²·i⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-1", "charge": "-2", "current": "2"} |
5 | charge,force,length,mass,resistance | m·ℓ·F·q·R | em,mechanics | m·ℓ³·F·q⁻⁴·R⁻² | m = k₀ · ℓ⁻³·F⁻¹·q⁴·R² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "3", "force": "1", "charge": "-4", "resistance": "-2"} |
5 | bfield,charge,force,length,mass | m·ℓ·F·q·B | em,mechanics | m·ℓ⁻¹·F·q⁻²·B⁻² | m = k₀ · ℓ·F⁻¹·q²·B² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "1", "charge": "-2", "bfield": "-2"} |
5 | charge,force,length,mag_flux,mass | m·ℓ·F·q·Φ | em,mechanics | m·ℓ³·F·q⁻²·Φ⁻² | m = k₀ · ℓ⁻³·F⁻¹·q²·Φ² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "force": "1", "charge": "-2", "mag_flux": "-2"} |
5 | charge,conductivity,force,length,mass | m·ℓ·F·q·σ | em,mechanics | m·ℓ⁵·F·q⁻⁴·σ² | m = k₀ · ℓ⁻⁵·F⁻¹·q⁴·σ⁻² | null | 0 | 2 | 5 | 13 | 11.2 | -1.7 | false | {"mass": "1", "length": "5", "force": "1", "charge": "-4", "conductivity": "2"} |
5 | charge,force,length,mass,resistivity | m·ℓ·F·q·ρ_e | em,mechanics | m·ℓ⁵·F·q⁻⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁵·F⁻¹·q⁴·ρ_e² | null | 0 | 2 | 5 | 13 | 11.2 | -1.7 | false | {"mass": "1", "length": "5", "force": "1", "charge": "-4", "resistivity": "-2"} |
5 | current,force,length,mass,voltage | m·ℓ·F·i·U | em,mechanics | m·ℓ⁻¹·F⁻³·i²·U² | m = k₀ · ℓ·F³·i⁻²·U⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-1", "force": "-3", "current": "2", "voltage": "2"} |
5 | current,force,length,mass,resistance | m·ℓ·F·i·R | em,mechanics | m·ℓ⁻¹·F⁻³·i⁴·R² | m = k₀ · ℓ·F³·i⁻⁴·R⁻² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "-1", "force": "-3", "current": "4", "resistance": "2"} |
5 | current,efield,force,length,mass | m·ℓ·F·i·E_f | em,mechanics | m·ℓ·F⁻³·i²·E_f² | m = k₀ · ℓ⁻¹·F³·i⁻²·E_f⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "1", "force": "-3", "current": "2", "efield": "2"} |
5 | current,force,length,mass,permittivity | m·ℓ·F·i·ε | em,mechanics | m·ℓ⁻¹·F⁻²·i²·ε⁻¹ | m = k₀ · ℓ·F²·i⁻²·ε | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-2", "current": "2", "permittivity": "-1"} |
5 | conductivity,current,force,length,mass | m·ℓ·F·i·σ | em,mechanics | m·ℓ⁻³·F⁻³·i⁴·σ⁻² | m = k₀ · ℓ³·F³·i⁻⁴·σ² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "length": "-3", "force": "-3", "current": "4", "conductivity": "-2"} |
5 | current,force,length,mass,resistivity | m·ℓ·F·i·ρ_e | em,mechanics | m·ℓ⁻³·F⁻³·i⁴·ρ_e² | m = k₀ · ℓ³·F³·i⁻⁴·ρ_e⁻² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "length": "-3", "force": "-3", "current": "4", "resistivity": "2"} |
5 | current,elem_charge,force,length,mass | m·ℓ·F·i·e | constants,em,mechanics | m·ℓ·F⁻¹·i²·e⁻² | m = k₀ · ℓ⁻¹·F·i⁻²·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "1", "force": "-1", "current": "2", "elem_charge": "-2"} |
5 | force,length,mass,resistance,voltage | m·ℓ·F·U·R | em,mechanics | m·ℓ⁻¹·F⁻³·U⁴·R⁻² | m = k₀ · ℓ·F³·U⁻⁴·R² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "-1", "force": "-3", "voltage": "4", "resistance": "-2"} |
5 | bfield,force,length,mass,voltage | m·ℓ·F·U·B | em,mechanics | m·ℓ⁻³·F⁻¹·U²·B⁻² | m = k₀ · ℓ³·F·U⁻²·B² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-3", "force": "-1", "voltage": "2", "bfield": "-2"} |
5 | force,length,mag_flux,mass,voltage | m·ℓ·F·U·Φ | em,mechanics | m·ℓ·F⁻¹·U²·Φ⁻² | m = k₀ · ℓ⁻¹·F·U⁻²·Φ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-1", "voltage": "2", "mag_flux": "-2"} |
5 | force,length,mass,permeability,voltage | m·ℓ·F·U·μ₀ | em,mechanics | m·ℓ⁻¹·F⁻²·U²·μ₀⁻¹ | m = k₀ · ℓ·F²·U⁻²·μ₀ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-2", "voltage": "2", "permeability": "-1"} |
5 | conductivity,force,length,mass,voltage | m·ℓ·F·U·σ | em,mechanics | m·ℓ·F⁻³·U⁴·σ² | m = k₀ · ℓ⁻¹·F³·U⁻⁴·σ⁻² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "1", "force": "-3", "voltage": "4", "conductivity": "2"} |
5 | force,length,mass,resistivity,voltage | m·ℓ·F·U·ρ_e | em,mechanics | m·ℓ·F⁻³·U⁴·ρ_e⁻² | m = k₀ · ℓ⁻¹·F³·U⁻⁴·ρ_e² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "1", "force": "-3", "voltage": "4", "resistivity": "-2"} |
5 | capacitance,force,length,mass,resistance | m·ℓ·F·R·C_e | em,mechanics | m·ℓ·F⁻¹·R⁻²·C_e⁻² | m = k₀ · ℓ⁻¹·F·R²·C_e² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-1", "resistance": "-2", "capacitance": "-2"} |
5 | force,inductance,length,mass,resistance | m·ℓ·F·R·L_e | em,mechanics | m·ℓ·F⁻¹·R²·L_e⁻² | m = k₀ · ℓ⁻¹·F·R⁻²·L_e² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-1", "resistance": "2", "inductance": "-2"} |
5 | efield,force,length,mass,resistance | m·ℓ·F·R·E_f | em,mechanics | m·ℓ³·F⁻³·R⁻²·E_f⁴ | m = k₀ · ℓ⁻³·F³·R²·E_f⁻⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "length": "3", "force": "-3", "resistance": "-2", "efield": "4"} |
5 | bfield,force,length,mass,resistance | m·ℓ·F·R·B | em,mechanics | m·ℓ⁻⁵·F·R²·B⁻⁴ | m = k₀ · ℓ⁵·F⁻¹·R⁻²·B⁴ | null | 0 | 2 | 5 | 13 | 11.2 | -1.7 | false | {"mass": "1", "length": "-5", "force": "1", "resistance": "2", "bfield": "-4"} |
5 | force,length,mag_flux,mass,resistance | m·ℓ·F·R·Φ | em,mechanics | m·ℓ³·F·R²·Φ⁻⁴ | m = k₀ · ℓ⁻³·F⁻¹·R⁻²·Φ⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "3", "force": "1", "resistance": "2", "mag_flux": "-4"} |
5 | force,length,mass,permittivity,resistance | m·ℓ·F·R·ε | em,mechanics | m·ℓ⁻¹·F⁻¹·R⁻²·ε⁻² | m = k₀ · ℓ·F·R²·ε² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-1", "resistance": "-2", "permittivity": "-2"} |
5 | force,length,mass,permeability,resistance | m·ℓ·F·R·μ₀ | em,mechanics | m·ℓ⁻¹·F⁻¹·R²·μ₀⁻² | m = k₀ · ℓ·F·R⁻²·μ₀² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-1", "resistance": "2", "permeability": "-2"} |
5 | elem_charge,force,length,mass,resistance | m·ℓ·F·R·e | constants,em,mechanics | m·ℓ³·F·R⁻²·e⁻⁴ | m = k₀ · ℓ⁻³·F⁻¹·R²·e⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "3", "force": "1", "resistance": "-2", "elem_charge": "-4"} |
5 | capacitance,force,inductance,length,mass | m·ℓ·F·C_e·L_e | em,mechanics | m·ℓ·F⁻¹·C_e⁻¹·L_e⁻¹ | m = k₀ · ℓ⁻¹·F·C_e·L_e | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "length": "1", "force": "-1", "capacitance": "-1", "inductance": "-1"} |
5 | capacitance,conductivity,force,length,mass | m·ℓ·F·C_e·σ | em,mechanics | m·ℓ³·F⁻¹·C_e⁻²·σ² | m = k₀ · ℓ⁻³·F·C_e²·σ⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "force": "-1", "capacitance": "-2", "conductivity": "2"} |
5 | capacitance,force,length,mass,resistivity | m·ℓ·F·C_e·ρ_e | em,mechanics | m·ℓ³·F⁻¹·C_e⁻²·ρ_e⁻² | m = k₀ · ℓ⁻³·F·C_e²·ρ_e² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "force": "-1", "capacitance": "-2", "resistivity": "-2"} |
5 | efield,force,inductance,length,mass | m·ℓ·F·L_e·E_f | em,mechanics | m·ℓ²·F⁻²·L_e⁻¹·E_f² | m = k₀ · ℓ⁻²·F²·L_e·E_f⁻² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "length": "2", "force": "-2", "inductance": "-1", "efield": "2"} |
5 | conductivity,force,inductance,length,mass | m·ℓ·F·L_e·σ | em,mechanics | m·ℓ⁻¹·F⁻¹·L_e⁻²·σ⁻² | m = k₀ · ℓ·F·L_e²·σ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-1", "inductance": "-2", "conductivity": "-2"} |
5 | force,inductance,length,mass,resistivity | m·ℓ·F·L_e·ρ_e | em,mechanics | m·ℓ⁻¹·F⁻¹·L_e⁻²·ρ_e² | m = k₀ · ℓ·F·L_e²·ρ_e⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-1", "inductance": "-2", "resistivity": "2"} |
5 | bfield,efield,force,length,mass | m·ℓ·F·E_f·B | em,mechanics | m·ℓ⁻¹·F⁻¹·E_f²·B⁻² | m = k₀ · ℓ·F·E_f⁻²·B² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "-1", "force": "-1", "efield": "2", "bfield": "-2"} |
5 | efield,force,length,mag_flux,mass | m·ℓ·F·E_f·Φ | em,mechanics | m·ℓ³·F⁻¹·E_f²·Φ⁻² | m = k₀ · ℓ⁻³·F·E_f⁻²·Φ² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "3", "force": "-1", "efield": "2", "mag_flux": "-2"} |
5 | efield,force,length,mass,permeability | m·ℓ·F·E_f·μ₀ | em,mechanics | m·ℓ·F⁻²·E_f²·μ₀⁻¹ | m = k₀ · ℓ⁻¹·F²·E_f⁻²·μ₀ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-2", "efield": "2", "permeability": "-1"} |
5 | conductivity,efield,force,length,mass | m·ℓ·F·E_f·σ | em,mechanics | m·ℓ⁵·F⁻³·E_f⁴·σ² | m = k₀ · ℓ⁻⁵·F³·E_f⁻⁴·σ⁻² | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "1", "length": "5", "force": "-3", "efield": "4", "conductivity": "2"} |
5 | efield,force,length,mass,resistivity | m·ℓ·F·E_f·ρ_e | em,mechanics | m·ℓ⁵·F⁻³·E_f⁴·ρ_e⁻² | m = k₀ · ℓ⁻⁵·F³·E_f⁻⁴·ρ_e² | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "1", "length": "5", "force": "-3", "efield": "4", "resistivity": "-2"} |
5 | bfield,conductivity,force,length,mass | m·ℓ·F·B·σ | em,mechanics | m·ℓ⁻⁷·F·B⁻⁴·σ⁻² | m = k₀ · ℓ⁷·F⁻¹·B⁴·σ² | null | 0 | 2 | 7 | 15 | 13.6 | -4.1 | false | {"mass": "1", "length": "-7", "force": "1", "bfield": "-4", "conductivity": "-2"} |
5 | bfield,force,length,mass,resistivity | m·ℓ·F·B·ρ_e | em,mechanics | m·ℓ⁻⁷·F·B⁻⁴·ρ_e² | m = k₀ · ℓ⁷·F⁻¹·B⁴·ρ_e⁻² | null | 0 | 2 | 7 | 15 | 13.6 | -4.1 | false | {"mass": "1", "length": "-7", "force": "1", "bfield": "-4", "resistivity": "2"} |
5 | bfield,elem_charge,force,length,mass | m·ℓ·F·B·e | constants,em,mechanics | m·ℓ⁻¹·F·B⁻²·e⁻² | m = k₀ · ℓ·F⁻¹·B²·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "force": "1", "bfield": "-2", "elem_charge": "-2"} |
5 | conductivity,force,length,mag_flux,mass | m·ℓ·F·Φ·σ | em,mechanics | m·ℓ·F·Φ⁻⁴·σ⁻² | m = k₀ · ℓ⁻¹·F⁻¹·Φ⁴·σ² | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "length": "1", "force": "1", "mag_flux": "-4", "conductivity": "-2"} |
5 | force,length,mag_flux,mass,resistivity | m·ℓ·F·Φ·ρ_e | em,mechanics | m·ℓ·F·Φ⁻⁴·ρ_e² | m = k₀ · ℓ⁻¹·F⁻¹·Φ⁴·ρ_e⁻² | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "length": "1", "force": "1", "mag_flux": "-4", "resistivity": "2"} |
5 | elem_charge,force,length,mag_flux,mass | m·ℓ·F·Φ·e | constants,em,mechanics | m·ℓ³·F·Φ⁻²·e⁻² | m = k₀ · ℓ⁻³·F⁻¹·Φ²·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "3", "force": "1", "mag_flux": "-2", "elem_charge": "-2"} |
5 | force,length,mass,permeability,permittivity | m·ℓ·F·ε·μ₀ | em,mechanics | m·ℓ⁻¹·F⁻¹·ε⁻¹·μ₀⁻¹ | m = k₀ · ℓ·F·ε·μ₀ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "length": "-1", "force": "-1", "permittivity": "-1", "permeability": "-1"} |
5 | conductivity,force,length,mass,permittivity | m·ℓ·F·ε·σ | em,mechanics | m·ℓ·F⁻¹·ε⁻²·σ² | m = k₀ · ℓ⁻¹·F·ε²·σ⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-1", "permittivity": "-2", "conductivity": "2"} |
5 | force,length,mass,permittivity,resistivity | m·ℓ·F·ε·ρ_e | em,mechanics | m·ℓ·F⁻¹·ε⁻²·ρ_e⁻² | m = k₀ · ℓ⁻¹·F·ε²·ρ_e² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "length": "1", "force": "-1", "permittivity": "-2", "resistivity": "-2"} |
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