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,inductance,length,mag_flux,mass,molar_energy | m·ℓ·L_e·Φ·E_m·z | chemistry,em,mechanics | m·ℓ²·L_e³·Φ⁻⁶·E_m²·z² | m = k₀ · ℓ⁻²·L_e⁻³·Φ⁶·E_m⁻²·z⁻² | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "1", "length": "2", "inductance": "3", "mag_flux": "-6", "molar_energy": "2", "cat_activity": "2"} |
7 | boltzmann,cat_activity,gas_constant,inductance,length,mag_flux,mass | m·ℓ·L_e·Φ·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ²·L_e·Φ⁻²·R²·z²·k_B⁻² | m = k₀ · ℓ⁻²·L_e⁻¹·Φ²·R⁻²·z⁻²·k_B² | null | 1 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "length": "2", "inductance": "1", "mag_flux": "-2", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"} |
6 | avogadro,cat_activity,inductance,length,mag_flux,mass | m·ℓ·L_e·Φ·z·N_A | chemistry,constants,em,mechanics | m·ℓ²·L_e·Φ⁻²·z²·N_A² | m = k₀ · ℓ⁻²·L_e⁻¹·Φ²·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "1", "length": "2", "inductance": "1", "mag_flux": "-2", "cat_activity": "2", "avogadro": "2"} |
5 | grav_const,inductance,length,mag_flux,mass | m·ℓ·L_e·Φ·G | constants,em,mechanics | m²·ℓ⁻¹·L_e·Φ⁻²·G | ℓ = k₀ · m²·L_e·Φ⁻²·G | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "2", "length": "-1", "inductance": "1", "mag_flux": "-2", "grav_const": "1"} |
5 | inductance,length,mag_flux,mass,planck | m·ℓ·L_e·Φ·h | constants,em,mechanics | m·ℓ²·L_e⁻¹·Φ²·h⁻² | m = k₀ · ℓ⁻²·L_e·Φ⁻²·h² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "1", "length": "2", "inductance": "-1", "mag_flux": "2", "planck": "-2"} |
6 | amount,inductance,length,mass,molar_energy,permittivity | m·ℓ·L_e·ε·n·E_m | chemistry,em,mechanics | m·ℓ·L_e⁻¹·ε⁻¹·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻¹·L_e·ε·n·E_m | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "inductance": "-1", "permittivity": "-1", "amount": "-1", "molar_energy": "-1"} |
6 | cat_activity,inductance,length,mass,molar_mass,permittivity | m·ℓ·L_e·ε·M_m·z | chemistry,em,mechanics | m²·ℓ⁻¹·L_e⁻¹·ε⁻¹·M_m⁻²·z⁻² | ℓ = k₀ · m²·L_e⁻¹·ε⁻¹·M_m⁻²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "2", "length": "-1", "inductance": "-1", "permittivity": "-1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,inductance,length,mass,molar_energy,permittivity | m·ℓ·L_e·ε·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻²·L_e⁻¹·ε⁻¹·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ²·L_e·ε·c_n·E_m | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "length": "-2", "inductance": "-1", "permittivity": "-1", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,gas_constant,inductance,length,mass,molar_energy,permittivity | m·ℓ·L_e·ε·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ·L_e⁻¹·ε⁻¹·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻¹·L_e·ε·E_m·R⁻¹·k_B | null | 1 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "length": "1", "inductance": "-1", "permittivity": "-1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,inductance,length,mass,molar_energy,permittivity | m·ℓ·L_e·ε·E_m·z | chemistry,em,mechanics | m²·ℓ·L_e⁻³·ε⁻³·E_m⁻²·z⁻² | ℓ = k₀ · m⁻²·L_e³·ε³·E_m²·z² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "length": "1", "inductance": "-3", "permittivity": "-3", "molar_energy": "-2", "cat_activity": "-2"} |
6 | avogadro,inductance,length,mass,molar_energy,permittivity | m·ℓ·L_e·ε·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ·L_e⁻¹·ε⁻¹·E_m⁻¹·N_A | m = k₀ · ℓ⁻¹·L_e·ε·E_m·N_A⁻¹ | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "length": "1", "inductance": "-1", "permittivity": "-1", "molar_energy": "-1", "avogadro": "1"} |
5 | grav_const,inductance,length,mass,permittivity | m·ℓ·L_e·ε·G | constants,em,mechanics | m·ℓ⁻²·L_e·ε·G | m = k₀ · ℓ²·L_e⁻¹·ε⁻¹·G⁻¹ | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-2", "inductance": "1", "permittivity": "1", "grav_const": "1"} |
5 | inductance,length,mass,permittivity,planck | m·ℓ·L_e·ε·h | constants,em,mechanics | m²·ℓ³·L_e⁻¹·ε⁻¹·h⁻² | L_e = k₀ · m²·ℓ³·ε⁻¹·h⁻² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "2", "length": "3", "inductance": "-1", "permittivity": "-1", "planck": "-2"} |
6 | cat_activity,conductivity,inductance,length,mass,molar_mass | m·ℓ·L_e·σ·M_m·z | chemistry,em,mechanics | m·ℓ⁻¹·L_e⁻¹·σ⁻¹·M_m⁻¹·z⁻¹ | m = k₀ · ℓ·L_e·σ·M_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "inductance": "-1", "conductivity": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,conductivity,inductance,length,mass,molar_energy | m·ℓ·L_e·σ·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·L_e⁻²·σ⁻²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ³·L_e²·σ²·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-3", "inductance": "-2", "conductivity": "-2", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,conductivity,inductance,length,mass,molar_energy | m·ℓ·L_e·σ·E_m·z | chemistry,em,mechanics | m·ℓ⁻¹·L_e⁻³·σ⁻³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ·L_e³·σ³·E_m·z | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-1", "inductance": "-3", "conductivity": "-3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | conductivity,grav_const,inductance,length,mass | m·ℓ·L_e·σ·G | constants,em,mechanics | m·ℓ⁻¹·L_e²·σ²·G | m = k₀ · ℓ·L_e⁻²·σ⁻²·G⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "inductance": "2", "conductivity": "2", "grav_const": "1"} |
5 | conductivity,inductance,length,mass,planck | m·ℓ·L_e·σ·h | constants,em,mechanics | m·ℓ·L_e⁻¹·σ⁻¹·h⁻¹ | m = k₀ · ℓ⁻¹·L_e·σ·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "1", "inductance": "-1", "conductivity": "-1", "planck": "-1"} |
6 | cat_activity,inductance,length,mass,molar_mass,resistivity | m·ℓ·L_e·ρ_e·M_m·z | chemistry,em,mechanics | m·ℓ⁻¹·L_e⁻¹·ρ_e·M_m⁻¹·z⁻¹ | m = k₀ · ℓ·L_e·ρ_e⁻¹·M_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "inductance": "-1", "resistivity": "1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,inductance,length,mass,molar_energy,resistivity | m·ℓ·L_e·ρ_e·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·L_e⁻²·ρ_e²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ³·L_e²·ρ_e⁻²·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-3", "inductance": "-2", "resistivity": "2", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,inductance,length,mass,molar_energy,resistivity | m·ℓ·L_e·ρ_e·E_m·z | chemistry,em,mechanics | m·ℓ⁻¹·L_e⁻³·ρ_e³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ·L_e³·ρ_e⁻³·E_m·z | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-1", "inductance": "-3", "resistivity": "3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | grav_const,inductance,length,mass,resistivity | m·ℓ·L_e·ρ_e·G | constants,em,mechanics | m·ℓ⁻¹·L_e²·ρ_e⁻²·G | m = k₀ · ℓ·L_e⁻²·ρ_e²·G⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "inductance": "2", "resistivity": "-2", "grav_const": "1"} |
5 | inductance,length,mass,planck,resistivity | m·ℓ·L_e·ρ_e·h | constants,em,mechanics | m·ℓ·L_e⁻¹·ρ_e·h⁻¹ | m = k₀ · ℓ⁻¹·L_e·ρ_e⁻¹·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "1", "inductance": "-1", "resistivity": "1", "planck": "-1"} |
4 | elem_charge,inductance,length,mass | m·ℓ·L_e·e | constants,em,mechanics | m·ℓ²·L_e⁻¹·e⁻² | m = k₀ · ℓ⁻²·L_e·e² | null | 1 | 3 | 2 | 6 | 5.1 | 3.9 | false | {"mass": "1", "length": "2", "inductance": "-1", "elem_charge": "-2"} |
5 | bfield,efield,length,mass,permeability | m·ℓ·E_f·B·μ₀ | em,mechanics | m·ℓ⁻³·E_f²·B⁻⁴·μ₀ | m = k₀ · ℓ³·E_f⁻²·B⁴·μ₀⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "length": "-3", "efield": "2", "bfield": "-4", "permeability": "1"} |
5 | bfield,conductivity,efield,length,mass | m·ℓ·E_f·B·σ | em,mechanics | m·ℓ⁻⁴·E_f·B⁻³·σ⁻¹ | m = k₀ · ℓ⁴·E_f⁻¹·B³·σ | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "length": "-4", "efield": "1", "bfield": "-3", "conductivity": "-1"} |
5 | bfield,efield,length,mass,resistivity | m·ℓ·E_f·B·ρ_e | em,mechanics | m·ℓ⁻⁴·E_f·B⁻³·ρ_e | m = k₀ · ℓ⁴·E_f⁻¹·B³·ρ_e⁻¹ | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "length": "-4", "efield": "1", "bfield": "-3", "resistivity": "1"} |
6 | bfield,cat_activity,efield,length,mass,molar_mass | m·ℓ·E_f·B·M_m·z | chemistry,em,mechanics | m·ℓ⁻¹·E_f·B⁻¹·M_m⁻¹·z⁻¹ | m = k₀ · ℓ·E_f⁻¹·B·M_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "-1", "efield": "1", "bfield": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | bfield,concentration,efield,length,mass,molar_energy | m·ℓ·E_f·B·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·E_f²·B⁻²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ³·E_f⁻²·B²·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-3", "efield": "2", "bfield": "-2", "concentration": "-1", "molar_energy": "-1"} |
6 | bfield,cat_activity,efield,length,mass,molar_energy | m·ℓ·E_f·B·E_m·z | chemistry,em,mechanics | m·ℓ⁻¹·E_f³·B⁻³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ·E_f⁻³·B³·E_m·z | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "length": "-1", "efield": "3", "bfield": "-3", "molar_energy": "-1", "cat_activity": "-1"} |
5 | bfield,efield,grav_const,length,mass | m·ℓ·E_f·B·G | constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·B²·G | m = k₀ · ℓ·E_f²·B⁻²·G⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "length": "-1", "efield": "-2", "bfield": "2", "grav_const": "1"} |
5 | bfield,efield,length,mass,planck | m·ℓ·E_f·B·h | constants,em,mechanics | m·ℓ·E_f·B⁻¹·h⁻¹ | m = k₀ · ℓ⁻¹·E_f⁻¹·B·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "length": "1", "efield": "1", "bfield": "-1", "planck": "-1"} |
5 | bfield,efield,elem_charge,length,mass | m·ℓ·E_f·B·e | constants,em,mechanics | m·ℓ⁻¹·E_f·B⁻²·e⁻¹ | m = k₀ · ℓ·E_f⁻¹·B²·e | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "length": "-1", "efield": "1", "bfield": "-2", "elem_charge": "-1"} |
5 | efield,length,mag_flux,mass,permeability | m·ℓ·E_f·Φ·μ₀ | em,mechanics | m·ℓ⁵·E_f²·Φ⁻⁴·μ₀ | m = k₀ · ℓ⁻⁵·E_f⁻²·Φ⁴·μ₀⁻¹ | null | 0 | 2 | 5 | 13 | 11.2 | -1.7 | false | {"mass": "1", "length": "5", "efield": "2", "mag_flux": "-4", "permeability": "1"} |
5 | conductivity,efield,length,mag_flux,mass | m·ℓ·E_f·Φ·σ | em,mechanics | m·ℓ²·E_f·Φ⁻³·σ⁻¹ | m = k₀ · ℓ⁻²·E_f⁻¹·Φ³·σ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "2", "efield": "1", "mag_flux": "-3", "conductivity": "-1"} |
5 | efield,length,mag_flux,mass,resistivity | m·ℓ·E_f·Φ·ρ_e | em,mechanics | m·ℓ²·E_f·Φ⁻³·ρ_e | m = k₀ · ℓ⁻²·E_f⁻¹·Φ³·ρ_e⁻¹ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "length": "2", "efield": "1", "mag_flux": "-3", "resistivity": "1"} |
6 | amount,efield,length,mag_flux,mass,molar_energy | m·ℓ·E_f·Φ·n·E_m | chemistry,em,mechanics | m·ℓ⁴·E_f²·Φ⁻²·n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻⁴·E_f⁻²·Φ²·n·E_m | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "length": "4", "efield": "2", "mag_flux": "-2", "amount": "-1", "molar_energy": "-1"} |
6 | cat_activity,efield,length,mag_flux,mass,molar_mass | m·ℓ·E_f·Φ·M_m·z | chemistry,em,mechanics | m·ℓ·E_f·Φ⁻¹·M_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻¹·E_f⁻¹·Φ·M_m·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "length": "1", "efield": "1", "mag_flux": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,efield,length,mag_flux,mass,molar_energy | m·ℓ·E_f·Φ·c_n·E_m | chemistry,em,mechanics | m·ℓ·E_f²·Φ⁻²·c_n⁻¹·E_m⁻¹ | m = k₀ · ℓ⁻¹·E_f⁻²·Φ²·c_n·E_m | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "length": "1", "efield": "2", "mag_flux": "-2", "concentration": "-1", "molar_energy": "-1"} |
7 | boltzmann,efield,gas_constant,length,mag_flux,mass,molar_energy | m·ℓ·E_f·Φ·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁴·E_f²·Φ⁻²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · ℓ⁻⁴·E_f⁻²·Φ²·E_m·R⁻¹·k_B | null | 1 | 4 | 4 | 12 | 11.8 | -3.3 | false | {"mass": "1", "length": "4", "efield": "2", "mag_flux": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,efield,length,mag_flux,mass,molar_energy | m·ℓ·E_f·Φ·E_m·z | chemistry,em,mechanics | m·ℓ⁵·E_f³·Φ⁻³·E_m⁻¹·z⁻¹ | m = k₀ · ℓ⁻⁵·E_f⁻³·Φ³·E_m·z | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "length": "5", "efield": "3", "mag_flux": "-3", "molar_energy": "-1", "cat_activity": "-1"} |
6 | avogadro,efield,length,mag_flux,mass,molar_energy | m·ℓ·E_f·Φ·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁴·E_f²·Φ⁻²·E_m⁻¹·N_A | m = k₀ · ℓ⁻⁴·E_f⁻²·Φ²·E_m·N_A⁻¹ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "1", "length": "4", "efield": "2", "mag_flux": "-2", "molar_energy": "-1", "avogadro": "1"} |
5 | efield,grav_const,length,mag_flux,mass | m·ℓ·E_f·Φ·G | constants,em,mechanics | m·ℓ⁻⁵·E_f⁻²·Φ²·G | m = k₀ · ℓ⁵·E_f²·Φ⁻²·G⁻¹ | null | 1 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "-5", "efield": "-2", "mag_flux": "2", "grav_const": "1"} |
5 | efield,length,mag_flux,mass,planck | m·ℓ·E_f·Φ·h | constants,em,mechanics | m·ℓ³·E_f·Φ⁻¹·h⁻¹ | m = k₀ · ℓ⁻³·E_f⁻¹·Φ·h | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "length": "3", "efield": "1", "mag_flux": "-1", "planck": "-1"} |
5 | efield,elem_charge,length,mag_flux,mass | m·ℓ·E_f·Φ·e | constants,em,mechanics | m·ℓ³·E_f·Φ⁻²·e⁻¹ | m = k₀ · ℓ⁻³·E_f⁻¹·Φ²·e | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "length": "3", "efield": "1", "mag_flux": "-2", "elem_charge": "-1"} |
5 | efield,length,mass,permeability,permittivity | m·ℓ·E_f·ε·μ₀ | em,mechanics | m·ℓ⁻³·E_f⁻²·ε⁻²·μ₀⁻¹ | m = k₀ · ℓ³·E_f²·ε²·μ₀ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-3", "efield": "-2", "permittivity": "-2", "permeability": "-1"} |
5 | conductivity,efield,length,mass,permittivity | m·ℓ·E_f·ε·σ | em,mechanics | m·ℓ⁻¹·E_f⁻²·ε⁻³·σ² | m = k₀ · ℓ·E_f²·ε³·σ⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-1", "efield": "-2", "permittivity": "-3", "conductivity": "2"} |
5 | efield,length,mass,permittivity,resistivity | m·ℓ·E_f·ε·ρ_e | em,mechanics | m·ℓ⁻¹·E_f⁻²·ε⁻³·ρ_e⁻² | m = k₀ · ℓ·E_f²·ε³·ρ_e² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "length": "-1", "efield": "-2", "permittivity": "-3", "resistivity": "-2"} |
6 | amount,cat_activity,efield,length,mass,permittivity | m·ℓ·E_f·ε·n·z | chemistry,em,mechanics | m·ℓ⁻¹·E_f⁻²·ε⁻¹·n⁻²·z² | m = k₀ · ℓ·E_f²·ε·n²·z⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "-1", "efield": "-2", "permittivity": "-1", "amount": "-2", "cat_activity": "2"} |
6 | efield,length,mass,molar_energy,molar_mass,permittivity | m·ℓ·E_f·ε·M_m·E_m | chemistry,em,mechanics | m·ℓ⁻³·E_f⁻²·ε⁻¹·M_m⁻¹·E_m | m = k₀ · ℓ³·E_f²·ε·M_m·E_m⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "length": "-3", "efield": "-2", "permittivity": "-1", "molar_mass": "-1", "molar_energy": "1"} |
6 | cat_activity,efield,length,mass,molar_mass,permittivity | m·ℓ·E_f·ε·M_m·z | chemistry,em,mechanics | m·ℓ·E_f²·ε·M_m⁻²·z⁻² | m = k₀ · ℓ⁻¹·E_f⁻²·ε⁻¹·M_m²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "length": "1", "efield": "2", "permittivity": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | cat_activity,concentration,efield,length,mass,permittivity | m·ℓ·E_f·ε·c_n·z | chemistry,em,mechanics | m·ℓ⁻⁷·E_f⁻²·ε⁻¹·c_n⁻²·z² | m = k₀ · ℓ⁷·E_f²·ε·c_n²·z⁻² | null | 0 | 3 | 7 | 15 | 14.5 | -5.5 | false | {"mass": "1", "length": "-7", "efield": "-2", "permittivity": "-1", "concentration": "-2", "cat_activity": "2"} |
6 | cat_activity,efield,length,mass,molar_energy,permittivity | m·ℓ·E_f·ε·E_m·z | chemistry,em,mechanics | m·ℓ⁻⁷·E_f⁻⁶·ε⁻³·E_m²·z² | m = k₀ · ℓ⁷·E_f⁶·ε³·E_m⁻²·z⁻² | null | 0 | 3 | 7 | 21 | 18.7 | -9.7 | false | {"mass": "1", "length": "-7", "efield": "-6", "permittivity": "-3", "molar_energy": "2", "cat_activity": "2"} |
7 | boltzmann,cat_activity,efield,gas_constant,length,mass,permittivity | m·ℓ·E_f·ε·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·ε⁻¹·R²·z²·k_B⁻² | m = k₀ · ℓ·E_f²·ε·R⁻²·z⁻²·k_B² | null | 1 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "length": "-1", "efield": "-2", "permittivity": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"} |
6 | avogadro,cat_activity,efield,length,mass,permittivity | m·ℓ·E_f·ε·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·ε⁻¹·z²·N_A² | m = k₀ · ℓ·E_f²·ε·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "length": "-1", "efield": "-2", "permittivity": "-1", "cat_activity": "2", "avogadro": "2"} |
5 | efield,length,light_speed,mass,permittivity | m·ℓ·E_f·ε·c₀ | constants,em,mechanics | m·ℓ⁻³·E_f⁻²·ε⁻¹·c₀² | m = k₀ · ℓ³·E_f²·ε·c₀⁻² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "length": "-3", "efield": "-2", "permittivity": "-1", "light_speed": "2"} |
5 | efield,grav_const,length,mass,permittivity | m·ℓ·E_f·ε·G | constants,em,mechanics | m²·ℓ⁻⁴·E_f⁻²·ε⁻¹·G | ε = k₀ · m²·ℓ⁻⁴·E_f⁻²·G | null | 1 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "2", "length": "-4", "efield": "-2", "permittivity": "-1", "grav_const": "1"} |
5 | efield,length,mass,permittivity,planck | m·ℓ·E_f·ε·h | constants,em,mechanics | m·ℓ⁵·E_f²·ε·h⁻² | m = k₀ · ℓ⁻⁵·E_f⁻²·ε⁻¹·h² | null | 1 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "1", "length": "5", "efield": "2", "permittivity": "1", "planck": "-2"} |
5 | conductivity,efield,length,mass,permeability | m·ℓ·E_f·μ₀·σ | em,mechanics | m·ℓ⁻⁷·E_f⁻²·μ₀⁻³·σ⁻⁴ | m = k₀ · ℓ⁷·E_f²·μ₀³·σ⁴ | null | 0 | 2 | 7 | 17 | 15 | -5.5 | false | {"mass": "1", "length": "-7", "efield": "-2", "permeability": "-3", "conductivity": "-4"} |
5 | efield,length,mass,permeability,resistivity | m·ℓ·E_f·μ₀·ρ_e | em,mechanics | m·ℓ⁻⁷·E_f⁻²·μ₀⁻³·ρ_e⁴ | m = k₀ · ℓ⁷·E_f²·μ₀³·ρ_e⁻⁴ | null | 0 | 2 | 7 | 17 | 15 | -5.5 | false | {"mass": "1", "length": "-7", "efield": "-2", "permeability": "-3", "resistivity": "4"} |
6 | amount,efield,length,mass,molar_energy,permeability | m·ℓ·E_f·μ₀·n·E_m | chemistry,em,mechanics | m·ℓ³·E_f²·μ₀⁻¹·n⁻²·E_m⁻² | m = k₀ · ℓ⁻³·E_f⁻²·μ₀·n²·E_m² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "3", "efield": "2", "permeability": "-1", "amount": "-2", "molar_energy": "-2"} |
6 | amount,cat_activity,efield,length,mass,permeability | m·ℓ·E_f·μ₀·n·z | chemistry,em,mechanics | m·ℓ·E_f⁻²·μ₀·n⁻⁴·z⁴ | m = k₀ · ℓ⁻¹·E_f²·μ₀⁻¹·n⁴·z⁻⁴ | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "1", "length": "1", "efield": "-2", "permeability": "1", "amount": "-4", "cat_activity": "4"} |
6 | efield,length,mass,molar_energy,molar_mass,permeability | m·ℓ·E_f·μ₀·M_m·E_m | chemistry,em,mechanics | m·ℓ⁻³·E_f⁻²·μ₀·M_m⁻²·E_m² | m = k₀ · ℓ³·E_f²·μ₀⁻¹·M_m²·E_m⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "efield": "-2", "permeability": "1", "molar_mass": "-2", "molar_energy": "2"} |
6 | cat_activity,efield,length,mass,molar_mass,permeability | m·ℓ·E_f·μ₀·M_m·z | chemistry,em,mechanics | m³·ℓ⁻¹·E_f²·μ₀⁻¹·M_m⁻⁴·z⁻⁴ | ℓ = k₀ · m³·E_f²·μ₀⁻¹·M_m⁻⁴·z⁻⁴ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "3", "length": "-1", "efield": "2", "permeability": "-1", "molar_mass": "-4", "cat_activity": "-4"} |
6 | concentration,efield,length,mass,molar_energy,permeability | m·ℓ·E_f·μ₀·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻³·E_f²·μ₀⁻¹·c_n⁻²·E_m⁻² | m = k₀ · ℓ³·E_f⁻²·μ₀·c_n²·E_m² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-3", "efield": "2", "permeability": "-1", "concentration": "-2", "molar_energy": "-2"} |
6 | cat_activity,concentration,efield,length,mass,permeability | m·ℓ·E_f·μ₀·c_n·z | chemistry,em,mechanics | m·ℓ⁻¹¹·E_f⁻²·μ₀·c_n⁻⁴·z⁴ | m = k₀ · ℓ¹¹·E_f²·μ₀⁻¹·c_n⁴·z⁻⁴ | null | 0 | 3 | 11 | 23 | 22.1 | -13.1 | false | {"mass": "1", "length": "-11", "efield": "-2", "permeability": "1", "concentration": "-4", "cat_activity": "4"} |
7 | boltzmann,efield,gas_constant,length,mass,molar_energy,permeability | m·ℓ·E_f·μ₀·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ³·E_f²·μ₀⁻¹·E_m⁻²·R²·k_B⁻² | m = k₀ · ℓ⁻³·E_f⁻²·μ₀·E_m²·R⁻²·k_B² | null | 1 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "length": "3", "efield": "2", "permeability": "-1", "molar_energy": "-2", "gas_constant": "2", "boltzmann": "-2"} |
6 | cat_activity,efield,length,mass,molar_energy,permeability | m·ℓ·E_f·μ₀·E_m·z | chemistry,em,mechanics | m·ℓ⁵·E_f⁶·μ₀⁻³·E_m⁻⁴·z⁻⁴ | m = k₀ · ℓ⁻⁵·E_f⁻⁶·μ₀³·E_m⁴·z⁴ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "length": "5", "efield": "6", "permeability": "-3", "molar_energy": "-4", "cat_activity": "-4"} |
6 | avogadro,efield,length,mass,molar_energy,permeability | m·ℓ·E_f·μ₀·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ³·E_f²·μ₀⁻¹·E_m⁻²·N_A² | m = k₀ · ℓ⁻³·E_f⁻²·μ₀·E_m²·N_A⁻² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "3", "efield": "2", "permeability": "-1", "molar_energy": "-2", "avogadro": "2"} |
7 | boltzmann,cat_activity,efield,gas_constant,length,mass,permeability | m·ℓ·E_f·μ₀·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ·E_f⁻²·μ₀·R⁴·z⁴·k_B⁻⁴ | m = k₀ · ℓ⁻¹·E_f²·μ₀⁻¹·R⁻⁴·z⁻⁴·k_B⁴ | null | 1 | 4 | 4 | 17 | 15.3 | -6.8 | false | {"mass": "1", "length": "1", "efield": "-2", "permeability": "1", "gas_constant": "4", "cat_activity": "4", "boltzmann": "-4"} |
6 | avogadro,cat_activity,efield,length,mass,permeability | m·ℓ·E_f·μ₀·z·N_A | chemistry,constants,em,mechanics | m·ℓ·E_f⁻²·μ₀·z⁴·N_A⁴ | m = k₀ · ℓ⁻¹·E_f²·μ₀⁻¹·z⁻⁴·N_A⁻⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "1", "length": "1", "efield": "-2", "permeability": "1", "cat_activity": "4", "avogadro": "4"} |
5 | efield,length,light_speed,mass,permeability | m·ℓ·E_f·μ₀·c₀ | constants,em,mechanics | m·ℓ⁻³·E_f⁻²·μ₀·c₀⁴ | m = k₀ · ℓ³·E_f²·μ₀⁻¹·c₀⁻⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "-3", "efield": "-2", "permeability": "1", "light_speed": "4"} |
5 | efield,grav_const,length,mass,permeability | m·ℓ·E_f·μ₀·G | constants,em,mechanics | m³·ℓ⁻⁵·E_f⁻²·μ₀·G² | μ₀ = k₀ · m⁻³·ℓ⁵·E_f²·G⁻² | null | 1 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "3", "length": "-5", "efield": "-2", "permeability": "1", "grav_const": "2"} |
5 | efield,length,mass,permeability,planck | m·ℓ·E_f·μ₀·h | constants,em,mechanics | m³·ℓ⁷·E_f²·μ₀⁻¹·h⁻⁴ | μ₀ = k₀ · m³·ℓ⁷·E_f²·h⁻⁴ | null | 1 | 3 | 7 | 17 | 15.6 | -6.6 | false | {"mass": "3", "length": "7", "efield": "2", "permeability": "-1", "planck": "-4"} |
6 | amount,conductivity,efield,length,mass,molar_energy | m·ℓ·E_f·σ·n·E_m | chemistry,em,mechanics | m·ℓ⁸·E_f⁴·σ²·n⁻³·E_m⁻³ | m = k₀ · ℓ⁻⁸·E_f⁻⁴·σ⁻²·n³·E_m³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "efield": "4", "conductivity": "2", "amount": "-3", "molar_energy": "-3"} |
6 | amount,cat_activity,conductivity,efield,length,mass | m·ℓ·E_f·σ·n·z | chemistry,em,mechanics | m·ℓ⁻¹·E_f⁻²·σ⁻¹·n⁻³·z³ | m = k₀ · ℓ·E_f²·σ·n³·z⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-1", "efield": "-2", "conductivity": "-1", "amount": "-3", "cat_activity": "3"} |
6 | conductivity,efield,length,mass,molar_energy,molar_mass | m·ℓ·E_f·σ·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁸·E_f⁻⁴·σ⁻²·M_m⁻³·E_m³ | m = k₀ · ℓ⁴·E_f²·σ·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "2", "length": "-8", "efield": "-4", "conductivity": "-2", "molar_mass": "-3", "molar_energy": "3"} |
6 | cat_activity,conductivity,efield,length,mass,molar_mass | m·ℓ·E_f·σ·M_m·z | chemistry,em,mechanics | m²·ℓ·E_f²·σ·M_m⁻³·z⁻³ | ℓ = k₀ · m⁻²·E_f⁻²·σ⁻¹·M_m³·z³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "2", "length": "1", "efield": "2", "conductivity": "1", "molar_mass": "-3", "cat_activity": "-3"} |
6 | concentration,conductivity,efield,length,mass,molar_energy | m·ℓ·E_f·σ·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻¹·E_f⁴·σ²·c_n⁻³·E_m⁻³ | m = k₀ · ℓ·E_f⁻⁴·σ⁻²·c_n³·E_m³ | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "1", "length": "-1", "efield": "4", "conductivity": "2", "concentration": "-3", "molar_energy": "-3"} |
6 | cat_activity,concentration,conductivity,efield,length,mass | m·ℓ·E_f·σ·c_n·z | chemistry,em,mechanics | m·ℓ⁻¹⁰·E_f⁻²·σ⁻¹·c_n⁻³·z³ | m = k₀ · ℓ¹⁰·E_f²·σ·c_n³·z⁻³ | null | 0 | 3 | 10 | 20 | 19.5 | -10.5 | false | {"mass": "1", "length": "-10", "efield": "-2", "conductivity": "-1", "concentration": "-3", "cat_activity": "3"} |
7 | boltzmann,conductivity,efield,gas_constant,length,mass,molar_energy | m·ℓ·E_f·σ·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁸·E_f⁴·σ²·E_m⁻³·R³·k_B⁻³ | m = k₀ · ℓ⁻⁸·E_f⁻⁴·σ⁻²·E_m³·R⁻³·k_B³ | null | 1 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "efield": "4", "conductivity": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | avogadro,conductivity,efield,length,mass,molar_energy | m·ℓ·E_f·σ·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁸·E_f⁴·σ²·E_m⁻³·N_A³ | m = k₀ · ℓ⁻⁸·E_f⁻⁴·σ⁻²·E_m³·N_A⁻³ | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "1", "length": "8", "efield": "4", "conductivity": "2", "molar_energy": "-3", "avogadro": "3"} |
7 | boltzmann,cat_activity,conductivity,efield,gas_constant,length,mass | m·ℓ·E_f·σ·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·σ⁻¹·R³·z³·k_B⁻³ | m = k₀ · ℓ·E_f²·σ·R⁻³·z⁻³·k_B³ | null | 1 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "-1", "efield": "-2", "conductivity": "-1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"} |
6 | avogadro,cat_activity,conductivity,efield,length,mass | m·ℓ·E_f·σ·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·σ⁻¹·z³·N_A³ | m = k₀ · ℓ·E_f²·σ·z⁻³·N_A⁻³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "-1", "efield": "-2", "conductivity": "-1", "cat_activity": "3", "avogadro": "3"} |
5 | conductivity,efield,length,light_speed,mass | m·ℓ·E_f·σ·c₀ | constants,em,mechanics | m·ℓ⁻⁴·E_f⁻²·σ⁻¹·c₀³ | m = k₀ · ℓ⁴·E_f²·σ·c₀⁻³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "-4", "efield": "-2", "conductivity": "-1", "light_speed": "3"} |
5 | conductivity,efield,grav_const,length,mass | m·ℓ·E_f·σ·G | constants,em,mechanics | m⁵·ℓ⁻¹¹·E_f⁻⁴·σ⁻²·G³ | σ = k₀ · m⁵ᐟ²·ℓ⁻¹¹ᐟ²·E_f⁻²·G³ᐟ² | null | 1 | 3 | 11 | 25 | 23.2 | -14.2 | false | {"mass": "5", "length": "-11", "efield": "-4", "conductivity": "-2", "grav_const": "3"} |
5 | conductivity,efield,length,mass,planck | m·ℓ·E_f·σ·h | constants,em,mechanics | m²·ℓ⁷·E_f²·σ·h⁻³ | σ = k₀ · m⁻²·ℓ⁻⁷·E_f⁻²·h³ | null | 1 | 3 | 7 | 15 | 14.2 | -5.2 | false | {"mass": "2", "length": "7", "efield": "2", "conductivity": "1", "planck": "-3"} |
5 | conductivity,efield,elem_charge,length,mass | m·ℓ·E_f·σ·e | constants,em,mechanics | m·ℓ⁵·E_f·σ²·e⁻³ | m = k₀ · ℓ⁻⁵·E_f⁻¹·σ⁻²·e³ | null | 1 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "1", "length": "5", "efield": "1", "conductivity": "2", "elem_charge": "-3"} |
6 | amount,efield,length,mass,molar_energy,resistivity | m·ℓ·E_f·ρ_e·n·E_m | chemistry,em,mechanics | m·ℓ⁸·E_f⁴·ρ_e⁻²·n⁻³·E_m⁻³ | m = k₀ · ℓ⁻⁸·E_f⁻⁴·ρ_e²·n³·E_m³ | null | 0 | 3 | 8 | 21 | 19.2 | -10.2 | false | {"mass": "1", "length": "8", "efield": "4", "resistivity": "-2", "amount": "-3", "molar_energy": "-3"} |
6 | amount,cat_activity,efield,length,mass,resistivity | m·ℓ·E_f·ρ_e·n·z | chemistry,em,mechanics | m·ℓ⁻¹·E_f⁻²·ρ_e·n⁻³·z³ | m = k₀ · ℓ·E_f²·ρ_e⁻¹·n³·z⁻³ | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "length": "-1", "efield": "-2", "resistivity": "1", "amount": "-3", "cat_activity": "3"} |
6 | efield,length,mass,molar_energy,molar_mass,resistivity | m·ℓ·E_f·ρ_e·M_m·E_m | chemistry,em,mechanics | m²·ℓ⁻⁸·E_f⁻⁴·ρ_e²·M_m⁻³·E_m³ | m = k₀ · ℓ⁴·E_f²·ρ_e⁻¹·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "2", "length": "-8", "efield": "-4", "resistivity": "2", "molar_mass": "-3", "molar_energy": "3"} |
6 | cat_activity,efield,length,mass,molar_mass,resistivity | m·ℓ·E_f·ρ_e·M_m·z | chemistry,em,mechanics | m²·ℓ·E_f²·ρ_e⁻¹·M_m⁻³·z⁻³ | ℓ = k₀ · m⁻²·E_f⁻²·ρ_e·M_m³·z³ | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "2", "length": "1", "efield": "2", "resistivity": "-1", "molar_mass": "-3", "cat_activity": "-3"} |
6 | concentration,efield,length,mass,molar_energy,resistivity | m·ℓ·E_f·ρ_e·c_n·E_m | chemistry,em,mechanics | m·ℓ⁻¹·E_f⁴·ρ_e⁻²·c_n⁻³·E_m⁻³ | m = k₀ · ℓ·E_f⁻⁴·ρ_e²·c_n³·E_m³ | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "1", "length": "-1", "efield": "4", "resistivity": "-2", "concentration": "-3", "molar_energy": "-3"} |
6 | cat_activity,concentration,efield,length,mass,resistivity | m·ℓ·E_f·ρ_e·c_n·z | chemistry,em,mechanics | m·ℓ⁻¹⁰·E_f⁻²·ρ_e·c_n⁻³·z³ | m = k₀ · ℓ¹⁰·E_f²·ρ_e⁻¹·c_n³·z⁻³ | null | 0 | 3 | 10 | 20 | 19.5 | -10.5 | false | {"mass": "1", "length": "-10", "efield": "-2", "resistivity": "1", "concentration": "-3", "cat_activity": "3"} |
7 | boltzmann,efield,gas_constant,length,mass,molar_energy,resistivity | m·ℓ·E_f·ρ_e·E_m·R·k_B | chemistry,constants,em,mechanics | m·ℓ⁸·E_f⁴·ρ_e⁻²·E_m⁻³·R³·k_B⁻³ | m = k₀ · ℓ⁻⁸·E_f⁻⁴·ρ_e²·E_m³·R⁻³·k_B³ | null | 1 | 4 | 8 | 24 | 22.2 | -13.7 | false | {"mass": "1", "length": "8", "efield": "4", "resistivity": "-2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
6 | avogadro,efield,length,mass,molar_energy,resistivity | m·ℓ·E_f·ρ_e·E_m·N_A | chemistry,constants,em,mechanics | m·ℓ⁸·E_f⁴·ρ_e⁻²·E_m⁻³·N_A³ | m = k₀ · ℓ⁻⁸·E_f⁻⁴·ρ_e²·E_m³·N_A⁻³ | null | 1 | 4 | 8 | 21 | 19.8 | -11.3 | false | {"mass": "1", "length": "8", "efield": "4", "resistivity": "-2", "molar_energy": "-3", "avogadro": "3"} |
7 | boltzmann,cat_activity,efield,gas_constant,length,mass,resistivity | m·ℓ·E_f·ρ_e·R·z·k_B | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·ρ_e·R³·z³·k_B⁻³ | m = k₀ · ℓ·E_f²·ρ_e⁻¹·R⁻³·z⁻³·k_B³ | null | 1 | 4 | 3 | 14 | 12.7 | -4.2 | false | {"mass": "1", "length": "-1", "efield": "-2", "resistivity": "1", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"} |
6 | avogadro,cat_activity,efield,length,mass,resistivity | m·ℓ·E_f·ρ_e·z·N_A | chemistry,constants,em,mechanics | m·ℓ⁻¹·E_f⁻²·ρ_e·z³·N_A³ | m = k₀ · ℓ·E_f²·ρ_e⁻¹·z⁻³·N_A⁻³ | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "length": "-1", "efield": "-2", "resistivity": "1", "cat_activity": "3", "avogadro": "3"} |
5 | efield,length,light_speed,mass,resistivity | m·ℓ·E_f·ρ_e·c₀ | constants,em,mechanics | m·ℓ⁻⁴·E_f⁻²·ρ_e·c₀³ | m = k₀ · ℓ⁴·E_f²·ρ_e⁻¹·c₀⁻³ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "length": "-4", "efield": "-2", "resistivity": "1", "light_speed": "3"} |
5 | efield,grav_const,length,mass,resistivity | m·ℓ·E_f·ρ_e·G | constants,em,mechanics | m⁵·ℓ⁻¹¹·E_f⁻⁴·ρ_e²·G³ | ρ_e = k₀ · m⁻⁵ᐟ²·ℓ¹¹ᐟ²·E_f²·G⁻³ᐟ² | null | 1 | 3 | 11 | 25 | 23.2 | -14.2 | false | {"mass": "5", "length": "-11", "efield": "-4", "resistivity": "2", "grav_const": "3"} |
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