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 | capacitance,cat_activity,current,mass,molar_energy,velocity | m·v·i·C_e·E_m·z | chemistry,em,mechanics | m·v²·i²·C_e⁻¹·E_m⁻²·z⁻² | m = k₀ · v⁻²·i⁻²·C_e·E_m²·z² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "velocity": "2", "current": "2", "capacitance": "-1", "molar_energy": "-2", "cat_activity": "-2"} |
7 | boltzmann,capacitance,cat_activity,current,gas_constant,mass,velocity | m·v·i·C_e·R·z·k_B | chemistry,constants,em,mechanics | m·v²·i⁻²·C_e·R²·z²·k_B⁻² | m = k₀ · v⁻²·i²·C_e⁻¹·R⁻²·z⁻²·k_B² | null | 1 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "current": "-2", "capacitance": "1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"} |
6 | avogadro,capacitance,cat_activity,current,mass,velocity | m·v·i·C_e·z·N_A | chemistry,constants,em,mechanics | m·v²·i⁻²·C_e·z²·N_A² | m = k₀ · v⁻²·i²·C_e⁻¹·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 10 | 9.1 | -0.6 | false | {"mass": "1", "velocity": "2", "current": "-2", "capacitance": "1", "cat_activity": "2", "avogadro": "2"} |
6 | capacitance,current,illuminance,lum_intensity,mass,velocity | m·v·i·C_e·I_v·E_v | em,mechanics,photometry | m·v⁴·i⁻²·C_e·I_v⁻¹·E_v | m = k₀ · v⁻⁴·i²·C_e⁻¹·I_v·E_v⁻¹ | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "velocity": "4", "current": "-2", "capacitance": "1", "lum_intensity": "-1", "illuminance": "1"} |
6 | capacitance,current,lum_intensity,luminance,mass,velocity | m·v·i·C_e·I_v·L_v | em,mechanics,photometry | m·v⁴·i⁻²·C_e·I_v⁻¹·L_v | m = k₀ · v⁻⁴·i²·C_e⁻¹·I_v·L_v⁻¹ | null | 0 | 3 | 4 | 10 | 9.5 | -0.5 | false | {"mass": "1", "velocity": "4", "current": "-2", "capacitance": "1", "lum_intensity": "-1", "luminance": "1"} |
5 | capacitance,current,grav_const,mass,velocity | m·v·i·C_e·G | constants,em,mechanics | m·v⁻⁸·i²·C_e⁻¹·G² | m = k₀ · v⁸·i⁻²·C_e·G⁻² | null | 1 | 3 | 8 | 14 | 14 | -5 | false | {"mass": "1", "velocity": "-8", "current": "2", "capacitance": "-1", "grav_const": "2"} |
5 | capacitance,current,mass,planck,velocity | m·v·i·C_e·h | constants,em,mechanics | m³·v⁶·i⁻²·C_e·h⁻² | C_e = k₀ · m⁻³·v⁻⁶·i²·h² | null | 1 | 3 | 6 | 14 | 13 | -4 | false | {"mass": "3", "velocity": "6", "current": "-2", "capacitance": "1", "planck": "-2"} |
4 | current,inductance,mass,velocity | m·v·i·L_e | em,mechanics | m·v²·i⁻²·L_e⁻¹ | m = k₀ · v⁻²·i²·L_e | null | 0 | 2 | 2 | 6 | 4.5 | 5 | true | {"mass": "1", "velocity": "2", "current": "-2", "inductance": "-1"} |
5 | current,efield,mass,permittivity,velocity | m·v·i·E_f·ε | em,mechanics | m·v⁵·i⁻³·E_f·ε² | m = k₀ · v⁻⁵·i³·E_f⁻¹·ε⁻² | null | 0 | 2 | 5 | 12 | 10.5 | -1 | false | {"mass": "1", "velocity": "5", "current": "-3", "efield": "1", "permittivity": "2"} |
5 | current,efield,mass,permeability,velocity | m·v·i·E_f·μ₀ | em,mechanics | m·v·i⁻³·E_f·μ₀⁻² | m = k₀ · v⁻¹·i³·E_f⁻¹·μ₀² | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "velocity": "1", "current": "-3", "efield": "1", "permeability": "-2"} |
6 | amount,concentration,current,efield,mass,velocity | m·v·i·E_f·n·c_n | chemistry,em,mechanics | m³·v⁹·i⁻³·E_f⁻³·n⁻²·c_n² | n = k₀ · m³ᐟ²·v⁹ᐟ²·i⁻³ᐟ²·E_f⁻³ᐟ²·c_n | null | 0 | 3 | 9 | 22 | 20.4 | -11.4 | false | {"mass": "3", "velocity": "9", "current": "-3", "efield": "-3", "amount": "-2", "concentration": "2"} |
6 | amount,cat_activity,current,efield,mass,velocity | m·v·i·E_f·n·z | chemistry,em,mechanics | m·v·i⁻¹·E_f⁻¹·n⁻²·z² | m = k₀ · v⁻¹·i·E_f·n²·z⁻² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "1", "current": "-1", "efield": "-1", "amount": "-2", "cat_activity": "2"} |
6 | concentration,current,efield,mass,molar_mass,velocity | m·v·i·E_f·M_m·c_n | chemistry,em,mechanics | m·v⁹·i⁻³·E_f⁻³·M_m²·c_n² | m = k₀ · v⁻⁹·i³·E_f³·M_m⁻²·c_n⁻² | null | 0 | 3 | 9 | 20 | 19 | -10 | false | {"mass": "1", "velocity": "9", "current": "-3", "efield": "-3", "molar_mass": "2", "concentration": "2"} |
6 | cat_activity,current,efield,mass,molar_mass,velocity | m·v·i·E_f·M_m·z | chemistry,em,mechanics | m·v⁻¹·i·E_f·M_m⁻²·z⁻² | m = k₀ · v·i⁻¹·E_f⁻¹·M_m²·z² | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "-1", "current": "1", "efield": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,current,efield,mass,molar_energy,velocity | m·v·i·E_f·c_n·E_m | chemistry,em,mechanics | m·v⁵·i⁻³·E_f⁻³·c_n²·E_m² | m = k₀ · v⁻⁵·i³·E_f³·c_n⁻²·E_m⁻² | null | 0 | 3 | 5 | 16 | 14.2 | -5.2 | false | {"mass": "1", "velocity": "5", "current": "-3", "efield": "-3", "concentration": "2", "molar_energy": "2"} |
7 | boltzmann,concentration,current,efield,gas_constant,mass,velocity | m·v·i·E_f·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v⁹·i⁻³·E_f⁻³·c_n²·R²·k_B⁻² | c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·i³ᐟ²·E_f³ᐟ²·R⁻¹·k_B | null | 1 | 4 | 9 | 24 | 22.7 | -14.2 | false | {"mass": "3", "velocity": "9", "current": "-3", "efield": "-3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"} |
6 | cat_activity,concentration,current,efield,mass,velocity | m·v·i·E_f·c_n·z | chemistry,em,mechanics | m·v⁴·i⁻¹·E_f⁻¹·c_n·z⁻¹ | m = k₀ · v⁻⁴·i·E_f·c_n⁻¹·z | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "velocity": "4", "current": "-1", "efield": "-1", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,concentration,current,efield,mass,velocity | m·v·i·E_f·c_n·N_A | chemistry,constants,em,mechanics | m³·v⁹·i⁻³·E_f⁻³·c_n²·N_A² | c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·i³ᐟ²·E_f³ᐟ²·N_A⁻¹ | null | 1 | 4 | 9 | 22 | 21 | -12.5 | false | {"mass": "3", "velocity": "9", "current": "-3", "efield": "-3", "concentration": "2", "avogadro": "2"} |
6 | cat_activity,current,efield,mass,molar_energy,velocity | m·v·i·E_f·E_m·z | chemistry,em,mechanics | m·v³·i·E_f·E_m⁻²·z⁻² | m = k₀ · v⁻³·i⁻¹·E_f⁻¹·E_m²·z² | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "3", "current": "1", "efield": "1", "molar_energy": "-2", "cat_activity": "-2"} |
7 | boltzmann,cat_activity,current,efield,gas_constant,mass,velocity | m·v·i·E_f·R·z·k_B | chemistry,constants,em,mechanics | m·v·i⁻¹·E_f⁻¹·R²·z²·k_B⁻² | m = k₀ · v⁻¹·i·E_f·R⁻²·z⁻²·k_B² | null | 1 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "velocity": "1", "current": "-1", "efield": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"} |
6 | avogadro,cat_activity,current,efield,mass,velocity | m·v·i·E_f·z·N_A | chemistry,constants,em,mechanics | m·v·i⁻¹·E_f⁻¹·z²·N_A² | m = k₀ · v⁻¹·i·E_f·z⁻²·N_A⁻² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "1", "current": "-1", "efield": "-1", "cat_activity": "2", "avogadro": "2"} |
6 | current,efield,illuminance,lum_intensity,mass,velocity | m·v·i·E_f·I_v·E_v | em,mechanics,photometry | m·v³·i⁻¹·E_f⁻¹·I_v⁻¹·E_v | m = k₀ · v⁻³·i·E_f·I_v·E_v⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "velocity": "3", "current": "-1", "efield": "-1", "lum_intensity": "-1", "illuminance": "1"} |
6 | current,efield,lum_intensity,luminance,mass,velocity | m·v·i·E_f·I_v·L_v | em,mechanics,photometry | m·v³·i⁻¹·E_f⁻¹·I_v⁻¹·L_v | m = k₀ · v⁻³·i·E_f·I_v·L_v⁻¹ | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "velocity": "3", "current": "-1", "efield": "-1", "lum_intensity": "-1", "luminance": "1"} |
5 | current,efield,grav_const,mass,velocity | m·v·i·E_f·G | constants,em,mechanics | m·v⁻⁷·i·E_f·G² | m = k₀ · v⁷·i⁻¹·E_f⁻¹·G⁻² | null | 1 | 3 | 7 | 12 | 12.1 | -3.1 | false | {"mass": "1", "velocity": "-7", "current": "1", "efield": "1", "grav_const": "2"} |
5 | current,efield,mass,planck,velocity | m·v·i·E_f·h | constants,em,mechanics | m³·v⁵·i⁻¹·E_f⁻¹·h⁻² | i = k₀ · m³·v⁵·E_f⁻¹·h⁻² | null | 1 | 3 | 5 | 12 | 11.1 | -2.1 | false | {"mass": "3", "velocity": "5", "current": "-1", "efield": "-1", "planck": "-2"} |
5 | current,efield,elem_charge,mass,velocity | m·v·i·E_f·e | constants,em,mechanics | m·v·i·E_f⁻¹·e⁻² | m = k₀ · v⁻¹·i⁻¹·E_f·e² | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "velocity": "1", "current": "1", "efield": "-1", "elem_charge": "-2"} |
5 | bfield,current,mass,permittivity,velocity | m·v·i·B·ε | em,mechanics | m·v⁶·i⁻³·B·ε² | m = k₀ · v⁻⁶·i³·B⁻¹·ε⁻² | null | 0 | 2 | 6 | 13 | 11.7 | -2.2 | false | {"mass": "1", "velocity": "6", "current": "-3", "bfield": "1", "permittivity": "2"} |
5 | bfield,current,mass,permeability,velocity | m·v·i·B·μ₀ | em,mechanics | m·v²·i⁻³·B·μ₀⁻² | m = k₀ · v⁻²·i³·B⁻¹·μ₀² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "velocity": "2", "current": "-3", "bfield": "1", "permeability": "-2"} |
6 | amount,bfield,concentration,current,mass,velocity | m·v·i·B·n·c_n | chemistry,em,mechanics | m³·v⁶·i⁻³·B⁻³·n⁻²·c_n² | n = k₀ · m³ᐟ²·v³·i⁻³ᐟ²·B⁻³ᐟ²·c_n | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "3", "velocity": "6", "current": "-3", "bfield": "-3", "amount": "-2", "concentration": "2"} |
6 | bfield,concentration,current,mass,molar_mass,velocity | m·v·i·B·M_m·c_n | chemistry,em,mechanics | m·v⁶·i⁻³·B⁻³·M_m²·c_n² | m = k₀ · v⁻⁶·i³·B³·M_m⁻²·c_n⁻² | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "1", "velocity": "6", "current": "-3", "bfield": "-3", "molar_mass": "2", "concentration": "2"} |
6 | bfield,concentration,current,mass,molar_energy,velocity | m·v·i·B·c_n·E_m | chemistry,em,mechanics | m·v²·i⁻³·B⁻³·c_n²·E_m² | m = k₀ · v⁻²·i³·B³·c_n⁻²·E_m⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "velocity": "2", "current": "-3", "bfield": "-3", "concentration": "2", "molar_energy": "2"} |
7 | bfield,boltzmann,concentration,current,gas_constant,mass,velocity | m·v·i·B·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v⁶·i⁻³·B⁻³·c_n²·R²·k_B⁻² | c_n = k₀ · m⁻³ᐟ²·v⁻³·i³ᐟ²·B³ᐟ²·R⁻¹·k_B | null | 1 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "current": "-3", "bfield": "-3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"} |
6 | bfield,cat_activity,concentration,current,mass,velocity | m·v·i·B·c_n·z | chemistry,em,mechanics | m·v³·i⁻¹·B⁻¹·c_n·z⁻¹ | m = k₀ · v⁻³·i·B·c_n⁻¹·z | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "velocity": "3", "current": "-1", "bfield": "-1", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,bfield,concentration,current,mass,velocity | m·v·i·B·c_n·N_A | chemistry,constants,em,mechanics | m³·v⁶·i⁻³·B⁻³·c_n²·N_A² | c_n = k₀ · m⁻³ᐟ²·v⁻³·i³ᐟ²·B³ᐟ²·N_A⁻¹ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "3", "velocity": "6", "current": "-3", "bfield": "-3", "concentration": "2", "avogadro": "2"} |
6 | bfield,cat_activity,current,mass,molar_energy,velocity | m·v·i·B·E_m·z | chemistry,em,mechanics | m·v⁴·i·B·E_m⁻²·z⁻² | m = k₀ · v⁻⁴·i⁻¹·B⁻¹·E_m²·z² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "velocity": "4", "current": "1", "bfield": "1", "molar_energy": "-2", "cat_activity": "-2"} |
6 | bfield,current,illuminance,lum_intensity,mass,velocity | m·v·i·B·I_v·E_v | em,mechanics,photometry | m·v²·i⁻¹·B⁻¹·I_v⁻¹·E_v | m = k₀ · v⁻²·i·B·I_v·E_v⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "current": "-1", "bfield": "-1", "lum_intensity": "-1", "illuminance": "1"} |
6 | bfield,current,lum_intensity,luminance,mass,velocity | m·v·i·B·I_v·L_v | em,mechanics,photometry | m·v²·i⁻¹·B⁻¹·I_v⁻¹·L_v | m = k₀ · v⁻²·i·B·I_v·L_v⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "current": "-1", "bfield": "-1", "lum_intensity": "-1", "luminance": "1"} |
5 | bfield,current,grav_const,mass,velocity | m·v·i·B·G | constants,em,mechanics | m·v⁻⁶·i·B·G² | m = k₀ · v⁶·i⁻¹·B⁻¹·G⁻² | null | 1 | 3 | 6 | 11 | 10.9 | -1.9 | false | {"mass": "1", "velocity": "-6", "current": "1", "bfield": "1", "grav_const": "2"} |
5 | bfield,current,mass,planck,velocity | m·v·i·B·h | constants,em,mechanics | m³·v⁴·i⁻¹·B⁻¹·h⁻² | i = k₀ · m³·v⁴·B⁻¹·h⁻² | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "3", "velocity": "4", "current": "-1", "bfield": "-1", "planck": "-2"} |
4 | current,mag_flux,mass,velocity | m·v·i·Φ | em,mechanics | m·v²·i⁻¹·Φ⁻¹ | m = k₀ · v⁻²·i·Φ | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "velocity": "2", "current": "-1", "mag_flux": "-1"} |
6 | amount,concentration,current,mass,permittivity,velocity | m·v·i·ε·n·c_n | chemistry,em,mechanics | m³·v¹²·i⁻⁶·ε³·n⁻¹·c_n | n = k₀ · m³·v¹²·i⁻⁶·ε³·c_n | null | 0 | 3 | 12 | 26 | 24.7 | -15.7 | false | {"mass": "3", "velocity": "12", "current": "-6", "permittivity": "3", "amount": "-1", "concentration": "1"} |
6 | amount,cat_activity,current,mass,permittivity,velocity | m·v·i·ε·n·z | chemistry,em,mechanics | m·v³·i⁻²·ε·n⁻¹·z | m = k₀ · v⁻³·i²·ε⁻¹·n·z⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "velocity": "3", "current": "-2", "permittivity": "1", "amount": "-1", "cat_activity": "1"} |
6 | concentration,current,mass,molar_mass,permittivity,velocity | m·v·i·ε·M_m·c_n | chemistry,em,mechanics | m²·v¹²·i⁻⁶·ε³·M_m·c_n | M_m = k₀ · m⁻²·v⁻¹²·i⁶·ε⁻³·c_n⁻¹ | null | 0 | 3 | 12 | 25 | 24 | -15 | false | {"mass": "2", "velocity": "12", "current": "-6", "permittivity": "3", "molar_mass": "1", "concentration": "1"} |
6 | concentration,current,mass,molar_energy,permittivity,velocity | m·v·i·ε·c_n·E_m | chemistry,em,mechanics | m²·v¹⁰·i⁻⁶·ε³·c_n·E_m | c_n = k₀ · m⁻²·v⁻¹⁰·i⁶·ε⁻³·E_m⁻¹ | null | 0 | 3 | 10 | 23 | 21.6 | -12.6 | false | {"mass": "2", "velocity": "10", "current": "-6", "permittivity": "3", "concentration": "1", "molar_energy": "1"} |
7 | boltzmann,concentration,current,gas_constant,mass,permittivity,velocity | m·v·i·ε·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v¹²·i⁻⁶·ε³·c_n·R·k_B⁻¹ | c_n = k₀ · m⁻³·v⁻¹²·i⁶·ε⁻³·R⁻¹·k_B | null | 1 | 4 | 12 | 27 | 26.3 | -17.8 | false | {"mass": "3", "velocity": "12", "current": "-6", "permittivity": "3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,concentration,current,mass,permittivity,velocity | m·v·i·ε·c_n·z | chemistry,em,mechanics | m²·v⁹·i⁻⁴·ε²·c_n·z⁻¹ | c_n = k₀ · m⁻²·v⁻⁹·i⁴·ε⁻²·z | null | 0 | 3 | 9 | 19 | 18.3 | -9.3 | false | {"mass": "2", "velocity": "9", "current": "-4", "permittivity": "2", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,concentration,current,mass,permittivity,velocity | m·v·i·ε·c_n·N_A | chemistry,constants,em,mechanics | m³·v¹²·i⁻⁶·ε³·c_n·N_A | c_n = k₀ · m⁻³·v⁻¹²·i⁶·ε⁻³·N_A⁻¹ | null | 1 | 4 | 12 | 26 | 25.3 | -16.8 | false | {"mass": "3", "velocity": "12", "current": "-6", "permittivity": "3", "concentration": "1", "avogadro": "1"} |
7 | boltzmann,cat_activity,current,gas_constant,mass,permittivity,velocity | m·v·i·ε·R·z·k_B | chemistry,constants,em,mechanics | m·v³·i⁻²·ε·R·z·k_B⁻¹ | m = k₀ · v⁻³·i²·ε⁻¹·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "velocity": "3", "current": "-2", "permittivity": "1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,cat_activity,current,mass,permittivity,velocity | m·v·i·ε·z·N_A | chemistry,constants,em,mechanics | m·v³·i⁻²·ε·z·N_A | m = k₀ · v⁻³·i²·ε⁻¹·z⁻¹·N_A⁻¹ | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "velocity": "3", "current": "-2", "permittivity": "1", "cat_activity": "1", "avogadro": "1"} |
6 | current,illuminance,lum_intensity,mass,permittivity,velocity | m·v·i·ε·I_v·E_v | em,mechanics,photometry | m²·v⁸·i⁻⁴·ε²·I_v⁻¹·E_v | I_v = k₀ · m²·v⁸·i⁻⁴·ε²·E_v | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "2", "velocity": "8", "current": "-4", "permittivity": "2", "lum_intensity": "-1", "illuminance": "1"} |
6 | current,lum_intensity,luminance,mass,permittivity,velocity | m·v·i·ε·I_v·L_v | em,mechanics,photometry | m²·v⁸·i⁻⁴·ε²·I_v⁻¹·L_v | I_v = k₀ · m²·v⁸·i⁻⁴·ε²·L_v | null | 0 | 3 | 8 | 18 | 17.1 | -8.1 | false | {"mass": "2", "velocity": "8", "current": "-4", "permittivity": "2", "lum_intensity": "-1", "luminance": "1"} |
5 | current,mass,permittivity,planck,velocity | m·v·i·ε·h | constants,em,mechanics | m²·v⁵·i⁻²·ε·h⁻¹ | ε = k₀ · m⁻²·v⁻⁵·i²·h | null | 1 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "2", "velocity": "5", "current": "-2", "permittivity": "1", "planck": "-1"} |
5 | current,elem_charge,mass,permittivity,velocity | m·v·i·ε·e | constants,em,mechanics | m·v³·i⁻¹·ε·e⁻¹ | m = k₀ · v⁻³·i·ε⁻¹·e | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "velocity": "3", "current": "-1", "permittivity": "1", "elem_charge": "-1"} |
6 | amount,concentration,current,mass,permeability,velocity | m·v·i·μ₀·n·c_n | chemistry,em,mechanics | m³·v⁶·i⁻⁶·μ₀⁻³·n⁻¹·c_n | n = k₀ · m³·v⁶·i⁻⁶·μ₀⁻³·c_n | null | 0 | 3 | 6 | 20 | 17.5 | -8.5 | false | {"mass": "3", "velocity": "6", "current": "-6", "permeability": "-3", "amount": "-1", "concentration": "1"} |
6 | amount,cat_activity,current,mass,permeability,velocity | m·v·i·μ₀·n·z | chemistry,em,mechanics | m·v·i⁻²·μ₀⁻¹·n⁻¹·z | m = k₀ · v⁻¹·i²·μ₀·n·z⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "1", "current": "-2", "permeability": "-1", "amount": "-1", "cat_activity": "1"} |
6 | concentration,current,mass,molar_mass,permeability,velocity | m·v·i·μ₀·M_m·c_n | chemistry,em,mechanics | m²·v⁶·i⁻⁶·μ₀⁻³·M_m·c_n | M_m = k₀ · m⁻²·v⁻⁶·i⁶·μ₀³·c_n⁻¹ | null | 0 | 3 | 6 | 19 | 16.8 | -7.8 | false | {"mass": "2", "velocity": "6", "current": "-6", "permeability": "-3", "molar_mass": "1", "concentration": "1"} |
6 | concentration,current,mass,molar_energy,permeability,velocity | m·v·i·μ₀·c_n·E_m | chemistry,em,mechanics | m²·v⁴·i⁻⁶·μ₀⁻³·c_n·E_m | c_n = k₀ · m⁻²·v⁻⁴·i⁶·μ₀³·E_m⁻¹ | null | 0 | 3 | 6 | 17 | 15.4 | -6.4 | false | {"mass": "2", "velocity": "4", "current": "-6", "permeability": "-3", "concentration": "1", "molar_energy": "1"} |
7 | boltzmann,concentration,current,gas_constant,mass,permeability,velocity | m·v·i·μ₀·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v⁶·i⁻⁶·μ₀⁻³·c_n·R·k_B⁻¹ | c_n = k₀ · m⁻³·v⁻⁶·i⁶·μ₀³·R⁻¹·k_B | null | 1 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "current": "-6", "permeability": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,concentration,current,mass,permeability,velocity | m·v·i·μ₀·c_n·z | chemistry,em,mechanics | m²·v⁵·i⁻⁴·μ₀⁻²·c_n·z⁻¹ | c_n = k₀ · m⁻²·v⁻⁵·i⁴·μ₀²·z | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "velocity": "5", "current": "-4", "permeability": "-2", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,concentration,current,mass,permeability,velocity | m·v·i·μ₀·c_n·N_A | chemistry,constants,em,mechanics | m³·v⁶·i⁻⁶·μ₀⁻³·c_n·N_A | c_n = k₀ · m⁻³·v⁻⁶·i⁶·μ₀³·N_A⁻¹ | null | 1 | 4 | 6 | 20 | 18.1 | -9.6 | false | {"mass": "3", "velocity": "6", "current": "-6", "permeability": "-3", "concentration": "1", "avogadro": "1"} |
7 | boltzmann,cat_activity,current,gas_constant,mass,permeability,velocity | m·v·i·μ₀·R·z·k_B | chemistry,constants,em,mechanics | m·v·i⁻²·μ₀⁻¹·R·z·k_B⁻¹ | m = k₀ · v⁻¹·i²·μ₀·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "1", "current": "-2", "permeability": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,cat_activity,current,mass,permeability,velocity | m·v·i·μ₀·z·N_A | chemistry,constants,em,mechanics | m·v·i⁻²·μ₀⁻¹·z·N_A | m = k₀ · v⁻¹·i²·μ₀·z⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "current": "-2", "permeability": "-1", "cat_activity": "1", "avogadro": "1"} |
6 | current,illuminance,lum_intensity,mass,permeability,velocity | m·v·i·μ₀·I_v·E_v | em,mechanics,photometry | m²·v⁴·i⁻⁴·μ₀⁻²·I_v⁻¹·E_v | I_v = k₀ · m²·v⁴·i⁻⁴·μ₀⁻²·E_v | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "velocity": "4", "current": "-4", "permeability": "-2", "lum_intensity": "-1", "illuminance": "1"} |
6 | current,lum_intensity,luminance,mass,permeability,velocity | m·v·i·μ₀·I_v·L_v | em,mechanics,photometry | m²·v⁴·i⁻⁴·μ₀⁻²·I_v⁻¹·L_v | I_v = k₀ · m²·v⁴·i⁻⁴·μ₀⁻²·L_v | null | 0 | 3 | 4 | 14 | 12.3 | -3.3 | false | {"mass": "2", "velocity": "4", "current": "-4", "permeability": "-2", "lum_intensity": "-1", "luminance": "1"} |
5 | current,mass,permeability,planck,velocity | m·v·i·μ₀·h | constants,em,mechanics | m²·v³·i⁻²·μ₀⁻¹·h⁻¹ | μ₀ = k₀ · m²·v³·i⁻²·h⁻¹ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "2", "velocity": "3", "current": "-2", "permeability": "-1", "planck": "-1"} |
5 | current,elem_charge,mass,permeability,velocity | m·v·i·μ₀·e | constants,em,mechanics | m·v·i⁻¹·μ₀⁻¹·e⁻¹ | m = k₀ · v⁻¹·i·μ₀·e | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "velocity": "1", "current": "-1", "permeability": "-1", "elem_charge": "-1"} |
4 | conductivity,current,mass,velocity | m·v·i·σ | em,mechanics | m·v³·i⁻²·σ | m = k₀ · v⁻³·i²·σ⁻¹ | null | 0 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "velocity": "3", "current": "-2", "conductivity": "1"} |
4 | current,mass,resistivity,velocity | m·v·i·ρ_e | em,mechanics | m·v³·i⁻²·ρ_e⁻¹ | m = k₀ · v⁻³·i²·ρ_e | null | 0 | 2 | 3 | 7 | 5.7 | 3.8 | true | {"mass": "1", "velocity": "3", "current": "-2", "resistivity": "-1"} |
6 | concentration,current,elem_charge,mass,molar_mass,velocity | m·v·i·M_m·c_n·e | chemistry,constants,em,mechanics | m·v⁻³·i³·M_m⁻¹·c_n⁻¹·e⁻³ | m = k₀ · v³·i⁻³·M_m·c_n·e³ | null | 1 | 4 | 3 | 12 | 11 | -2.5 | false | {"mass": "1", "velocity": "-3", "current": "3", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-3"} |
6 | concentration,current,elem_charge,mass,molar_energy,velocity | m·v·i·c_n·E_m·e | chemistry,constants,em,mechanics | m·v⁻¹·i³·c_n⁻¹·E_m⁻¹·e⁻³ | m = k₀ · v·i⁻³·c_n·E_m·e³ | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "1", "velocity": "-1", "current": "3", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-3"} |
6 | cat_activity,current,elem_charge,mass,molar_energy,velocity | m·v·i·E_m·z·e | chemistry,constants,em,mechanics | m·v²·i·E_m⁻¹·z⁻¹·e⁻¹ | m = k₀ · v⁻²·i⁻¹·E_m·z·e | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "2", "current": "1", "molar_energy": "-1", "cat_activity": "-1", "elem_charge": "-1"} |
5 | current,elem_charge,grav_const,mass,velocity | m·v·i·G·e | constants,em,mechanics | m·v⁻³·i·G·e⁻¹ | m = k₀ · v³·i⁻¹·G⁻¹·e | null | 2 | 3 | 3 | 7 | 7.6 | -0.1 | false | {"mass": "1", "velocity": "-3", "current": "1", "grav_const": "1", "elem_charge": "-1"} |
5 | current,elem_charge,mass,planck,velocity | m·v·i·h·e | constants,em,mechanics | m·v²·i⁻¹·h⁻¹·e | m = k₀ · v⁻²·i·h·e⁻¹ | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "1", "velocity": "2", "current": "-1", "planck": "-1", "elem_charge": "1"} |
5 | inductance,mass,resistance,velocity,voltage | m·v·U·R·L_e | em,mechanics | m·v²·U⁻²·R²·L_e⁻¹ | m = k₀ · v⁻²·U²·R⁻²·L_e | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "velocity": "2", "voltage": "-2", "resistance": "2", "inductance": "-1"} |
5 | efield,mass,resistance,velocity,voltage | m·v·U·R·E_f | em,mechanics | m·v³·U⁻³·R·E_f | m = k₀ · v⁻³·U³·R⁻¹·E_f⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "velocity": "3", "voltage": "-3", "resistance": "1", "efield": "1"} |
5 | bfield,mass,resistance,velocity,voltage | m·v·U·R·B | em,mechanics | m·v⁴·U⁻³·R·B | m = k₀ · v⁻⁴·U³·R⁻¹·B⁻¹ | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "velocity": "4", "voltage": "-3", "resistance": "1", "bfield": "1"} |
5 | mag_flux,mass,resistance,velocity,voltage | m·v·U·R·Φ | em,mechanics | m·v²·U⁻¹·R·Φ⁻¹ | m = k₀ · v⁻²·U·R⁻¹·Φ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "velocity": "2", "voltage": "-1", "resistance": "1", "mag_flux": "-1"} |
5 | conductivity,mass,resistance,velocity,voltage | m·v·U·R·σ | em,mechanics | m·v³·U⁻²·R²·σ | m = k₀ · v⁻³·U²·R⁻²·σ⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "velocity": "3", "voltage": "-2", "resistance": "2", "conductivity": "1"} |
5 | mass,resistance,resistivity,velocity,voltage | m·v·U·R·ρ_e | em,mechanics | m·v³·U⁻²·R²·ρ_e⁻¹ | m = k₀ · v⁻³·U²·R⁻²·ρ_e | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "velocity": "3", "voltage": "-2", "resistance": "2", "resistivity": "-1"} |
6 | amount,concentration,mass,resistance,velocity,voltage | m·v·U·R·n·c_n | chemistry,em,mechanics | m³·v⁹·U⁻⁶·R³·n⁻¹·c_n | n = k₀ · m³·v⁹·U⁻⁶·R³·c_n | null | 0 | 3 | 9 | 23 | 21.1 | -12.1 | false | {"mass": "3", "velocity": "9", "voltage": "-6", "resistance": "3", "amount": "-1", "concentration": "1"} |
6 | amount,cat_activity,mass,resistance,velocity,voltage | m·v·U·R·n·z | chemistry,em,mechanics | m·v²·U⁻²·R·n⁻¹·z | m = k₀ · v⁻²·U²·R⁻¹·n·z⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "2", "voltage": "-2", "resistance": "1", "amount": "-1", "cat_activity": "1"} |
6 | concentration,mass,molar_mass,resistance,velocity,voltage | m·v·U·R·M_m·c_n | chemistry,em,mechanics | m²·v⁹·U⁻⁶·R³·M_m·c_n | M_m = k₀ · m⁻²·v⁻⁹·U⁶·R⁻³·c_n⁻¹ | null | 0 | 3 | 9 | 22 | 20.4 | -11.4 | false | {"mass": "2", "velocity": "9", "voltage": "-6", "resistance": "3", "molar_mass": "1", "concentration": "1"} |
6 | concentration,mass,molar_energy,resistance,velocity,voltage | m·v·U·R·c_n·E_m | chemistry,em,mechanics | m²·v⁷·U⁻⁶·R³·c_n·E_m | c_n = k₀ · m⁻²·v⁻⁷·U⁶·R⁻³·E_m⁻¹ | null | 0 | 3 | 7 | 20 | 18 | -9 | false | {"mass": "2", "velocity": "7", "voltage": "-6", "resistance": "3", "concentration": "1", "molar_energy": "1"} |
7 | boltzmann,concentration,gas_constant,mass,resistance,velocity,voltage | m·v·U·R·c_n·R·k_B | chemistry,constants,em,mechanics | m³·v⁹·U⁻⁶·R³·c_n·R·k_B⁻¹ | c_n = k₀ · m⁻³·v⁻⁹·U⁶·R⁻³·R⁻¹·k_B | null | 1 | 4 | 9 | 24 | 22.7 | -14.2 | false | {"mass": "3", "velocity": "9", "voltage": "-6", "resistance": "3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,concentration,mass,resistance,velocity,voltage | m·v·U·R·c_n·z | chemistry,em,mechanics | m²·v⁷·U⁻⁴·R²·c_n·z⁻¹ | c_n = k₀ · m⁻²·v⁻⁷·U⁴·R⁻²·z | null | 0 | 3 | 7 | 17 | 15.9 | -6.9 | false | {"mass": "2", "velocity": "7", "voltage": "-4", "resistance": "2", "concentration": "1", "cat_activity": "-1"} |
6 | avogadro,concentration,mass,resistance,velocity,voltage | m·v·U·R·c_n·N_A | chemistry,constants,em,mechanics | m³·v⁹·U⁻⁶·R³·c_n·N_A | c_n = k₀ · m⁻³·v⁻⁹·U⁶·R⁻³·N_A⁻¹ | null | 1 | 4 | 9 | 23 | 21.7 | -13.2 | false | {"mass": "3", "velocity": "9", "voltage": "-6", "resistance": "3", "concentration": "1", "avogadro": "1"} |
7 | boltzmann,cat_activity,gas_constant,mass,resistance,velocity,voltage | m·v·U·R·R·z·k_B | chemistry,constants,em,mechanics | m·v²·U⁻²·R·R·z·k_B⁻¹ | m = k₀ · v⁻²·U²·R⁻¹·R⁻¹·z⁻¹·k_B | null | 1 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "velocity": "2", "voltage": "-2", "resistance": "1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"} |
6 | avogadro,cat_activity,mass,resistance,velocity,voltage | m·v·U·R·z·N_A | chemistry,constants,em,mechanics | m·v²·U⁻²·R·z·N_A | m = k₀ · v⁻²·U²·R⁻¹·z⁻¹·N_A⁻¹ | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "2", "voltage": "-2", "resistance": "1", "cat_activity": "1", "avogadro": "1"} |
6 | illuminance,lum_intensity,mass,resistance,velocity,voltage | m·v·U·R·I_v·E_v | em,mechanics,photometry | m²·v⁶·U⁻⁴·R²·I_v⁻¹·E_v | I_v = k₀ · m²·v⁶·U⁻⁴·R²·E_v | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "2", "velocity": "6", "voltage": "-4", "resistance": "2", "lum_intensity": "-1", "illuminance": "1"} |
6 | lum_intensity,luminance,mass,resistance,velocity,voltage | m·v·U·R·I_v·L_v | em,mechanics,photometry | m²·v⁶·U⁻⁴·R²·I_v⁻¹·L_v | I_v = k₀ · m²·v⁶·U⁻⁴·R²·L_v | null | 0 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "2", "velocity": "6", "voltage": "-4", "resistance": "2", "lum_intensity": "-1", "luminance": "1"} |
5 | mass,planck,resistance,velocity,voltage | m·v·U·R·h | constants,em,mechanics | m²·v⁴·U⁻²·R·h⁻¹ | R = k₀ · m⁻²·v⁻⁴·U²·h | null | 1 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "2", "velocity": "4", "voltage": "-2", "resistance": "1", "planck": "-1"} |
4 | capacitance,mass,velocity,voltage | m·v·U·C_e | em,mechanics | m·v²·U⁻²·C_e⁻¹ | m = k₀ · v⁻²·U²·C_e | null | 0 | 2 | 2 | 6 | 4.5 | 5 | true | {"mass": "1", "velocity": "2", "voltage": "-2", "capacitance": "-1"} |
5 | efield,inductance,mass,velocity,voltage | m·v·U·L_e·E_f | em,mechanics | m·v⁴·U⁻⁴·L_e·E_f² | m = k₀ · v⁻⁴·U⁴·L_e⁻¹·E_f⁻² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "1", "velocity": "4", "voltage": "-4", "inductance": "1", "efield": "2"} |
5 | bfield,inductance,mass,velocity,voltage | m·v·U·L_e·B | em,mechanics | m·v⁶·U⁻⁴·L_e·B² | m = k₀ · v⁻⁶·U⁴·L_e⁻¹·B⁻² | null | 0 | 2 | 6 | 14 | 12.4 | -2.9 | false | {"mass": "1", "velocity": "6", "voltage": "-4", "inductance": "1", "bfield": "2"} |
5 | inductance,mass,permeability,velocity,voltage | m·v·U·L_e·μ₀ | em,mechanics | m·v⁴·U⁻²·L_e⁻¹·μ₀² | m = k₀ · v⁻⁴·U²·L_e·μ₀⁻² | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "velocity": "4", "voltage": "-2", "inductance": "-1", "permeability": "2"} |
6 | amount,concentration,inductance,mass,velocity,voltage | m·v·U·L_e·n·c_n | chemistry,em,mechanics | m³·v¹²·U⁻⁶·L_e³·n⁻²·c_n² | n = k₀ · m³ᐟ²·v⁶·U⁻³·L_e³ᐟ²·c_n | null | 0 | 3 | 12 | 28 | 26.1 | -17.1 | false | {"mass": "3", "velocity": "12", "voltage": "-6", "inductance": "3", "amount": "-2", "concentration": "2"} |
6 | amount,cat_activity,inductance,mass,velocity,voltage | m·v·U·L_e·n·z | chemistry,em,mechanics | m·v²·U⁻²·L_e·n⁻²·z² | m = k₀ · v⁻²·U²·L_e⁻¹·n²·z⁻² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "velocity": "2", "voltage": "-2", "inductance": "1", "amount": "-2", "cat_activity": "2"} |
6 | concentration,inductance,mass,molar_mass,velocity,voltage | m·v·U·L_e·M_m·c_n | chemistry,em,mechanics | m·v¹²·U⁻⁶·L_e³·M_m²·c_n² | m = k₀ · v⁻¹²·U⁶·L_e⁻³·M_m⁻²·c_n⁻² | null | 0 | 3 | 12 | 26 | 24.7 | -15.7 | false | {"mass": "1", "velocity": "12", "voltage": "-6", "inductance": "3", "molar_mass": "2", "concentration": "2"} |
6 | cat_activity,inductance,mass,molar_mass,velocity,voltage | m·v·U·L_e·M_m·z | chemistry,em,mechanics | m·v⁻²·U²·L_e⁻¹·M_m⁻²·z⁻² | m = k₀ · v²·U⁻²·L_e·M_m²·z² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "velocity": "-2", "voltage": "2", "inductance": "-1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,inductance,mass,molar_energy,velocity,voltage | m·v·U·L_e·c_n·E_m | chemistry,em,mechanics | m·v⁸·U⁻⁶·L_e³·c_n²·E_m² | m = k₀ · v⁻⁸·U⁶·L_e⁻³·c_n⁻²·E_m⁻² | null | 0 | 3 | 8 | 22 | 19.9 | -10.9 | false | {"mass": "1", "velocity": "8", "voltage": "-6", "inductance": "3", "concentration": "2", "molar_energy": "2"} |
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