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 | elem_charge,lum_intensity,luminance,mass,resistivity,time | m·t·ρ_e·I_v·L_v·e | constants,em,mechanics,photometry | m²·t⁻²·ρ_e⁻²·I_v³·L_v⁻³·e⁻⁴ | m = k₀ · t·ρ_e·I_v⁻³ᐟ²·L_v³ᐟ²·e² | null | 1 | 4 | 4 | 16 | 14.3 | -5.8 | false | {"mass": "2", "time": "-2", "resistivity": "-2", "lum_intensity": "3", "luminance": "-3", "elem_charge": "-4"} |
5 | elem_charge,light_speed,mass,resistivity,time | m·t·ρ_e·c₀·e | constants,em,mechanics | m·t²·ρ_e⁻¹·c₀³·e⁻² | m = k₀ · t⁻²·ρ_e·c₀⁻³·e² | null | 2 | 3 | 3 | 9 | 9 | -1.5 | false | {"mass": "1", "time": "2", "resistivity": "-1", "light_speed": "3", "elem_charge": "-2"} |
5 | elem_charge,grav_const,mass,resistivity,time | m·t·ρ_e·G·e | constants,em,mechanics | m²·t·ρ_e⁻¹·G·e⁻² | t = k₀ · m⁻²·ρ_e·G⁻¹·e² | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "2", "time": "1", "resistivity": "-1", "grav_const": "1", "elem_charge": "-2"} |
5 | elem_charge,mass,planck,resistivity,time | m·t·ρ_e·h·e | constants,em,mechanics | m·t⁻¹·ρ_e²·h⁻³·e⁴ | m = k₀ · t·ρ_e⁻²·h³·e⁻⁴ | null | 2 | 3 | 4 | 11 | 10.9 | -3.4 | false | {"mass": "1", "time": "-1", "resistivity": "2", "planck": "-3", "elem_charge": "4"} |
5 | amount,concentration,mass,molar_energy,time | m·t·n·c_n·E_m | chemistry,mechanics | m³·t⁻⁶·n⁻¹·c_n⁻²·E_m⁻³ | n = k₀ · m³·t⁻⁶·c_n⁻²·E_m⁻³ | null | 0 | 2 | 6 | 15 | 13.1 | -3.6 | false | {"mass": "3", "time": "-6", "amount": "-1", "concentration": "-2", "molar_energy": "-3"} |
5 | amount,concentration,grav_const,mass,time | m·t·n·c_n·G | chemistry,constants,mechanics | m·t²·n⁻¹·c_n·G | m = k₀ · t⁻²·n·c_n⁻¹·G⁻¹ | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "time": "2", "amount": "-1", "concentration": "1", "grav_const": "1"} |
5 | amount,concentration,mass,planck,time | m·t·n·c_n·h | chemistry,constants,mechanics | m³·t⁻³·n²·c_n⁻²·h⁻³ | n = k₀ · m⁻³ᐟ²·t³ᐟ²·c_n·h³ᐟ² | null | 1 | 3 | 3 | 13 | 10.8 | -1.8 | false | {"mass": "3", "time": "-3", "amount": "2", "concentration": "-2", "planck": "-3"} |
6 | amount,illuminance,lum_intensity,mass,molar_energy,time | m·t·n·E_m·I_v·E_v | chemistry,mechanics,photometry | m·t⁻²·n⁻¹·E_m⁻¹·I_v·E_v⁻¹ | m = k₀ · t²·n·E_m·I_v⁻¹·E_v | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "amount": "-1", "molar_energy": "-1", "lum_intensity": "1", "illuminance": "-1"} |
6 | amount,lum_intensity,luminance,mass,molar_energy,time | m·t·n·E_m·I_v·L_v | chemistry,mechanics,photometry | m·t⁻²·n⁻¹·E_m⁻¹·I_v·L_v⁻¹ | m = k₀ · t²·n·E_m·I_v⁻¹·L_v | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "time": "-2", "amount": "-1", "molar_energy": "-1", "lum_intensity": "1", "luminance": "-1"} |
5 | amount,grav_const,mass,molar_energy,time | m·t·n·E_m·G | chemistry,constants,mechanics | m⁵·t⁻²·n⁻³·E_m⁻³·G² | t = k₀ · m⁵ᐟ²·n⁻³ᐟ²·E_m⁻³ᐟ²·G | null | 1 | 3 | 5 | 15 | 13.2 | -4.2 | false | {"mass": "5", "time": "-2", "amount": "-3", "molar_energy": "-3", "grav_const": "2"} |
5 | concentration,mass,molar_energy,molar_mass,time | m·t·M_m·c_n·E_m | chemistry,mechanics | m²·t⁻⁶·M_m·c_n⁻²·E_m⁻³ | M_m = k₀ · m⁻²·t⁶·c_n²·E_m³ | null | 0 | 2 | 6 | 14 | 12.4 | -2.9 | false | {"mass": "2", "time": "-6", "molar_mass": "1", "concentration": "-2", "molar_energy": "-3"} |
5 | concentration,light_speed,mass,molar_mass,time | m·t·M_m·c_n·c₀ | chemistry,constants,mechanics | m·t⁻³·M_m⁻¹·c_n⁻¹·c₀⁻³ | m = k₀ · t³·M_m·c_n·c₀³ | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "time": "-3", "molar_mass": "-1", "concentration": "-1", "light_speed": "-3"} |
5 | concentration,mass,molar_mass,planck,time | m·t·M_m·c_n·h | chemistry,constants,mechanics | m⁵·t⁻³·M_m⁻²·c_n⁻²·h⁻³ | M_m = k₀ · m⁵ᐟ²·t⁻³ᐟ²·c_n⁻¹·h⁻³ᐟ² | null | 1 | 3 | 5 | 15 | 13.2 | -4.2 | false | {"mass": "5", "time": "-3", "molar_mass": "-2", "concentration": "-2", "planck": "-3"} |
5 | grav_const,mass,molar_energy,molar_mass,time | m·t·M_m·E_m·G | chemistry,constants,mechanics | m²·t⁻²·M_m³·E_m⁻³·G² | m = k₀ · t·M_m⁻³ᐟ²·E_m³ᐟ²·G⁻¹ | null | 1 | 3 | 3 | 12 | 10.1 | -1.1 | false | {"mass": "2", "time": "-2", "molar_mass": "3", "molar_energy": "-3", "grav_const": "2"} |
5 | mass,molar_energy,molar_mass,planck,time | m·t·M_m·E_m·h | chemistry,constants,mechanics | m·t·M_m⁻¹·E_m·h⁻¹ | m = k₀ · t⁻¹·M_m·E_m⁻¹·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "1", "molar_mass": "-1", "molar_energy": "1", "planck": "-1"} |
4 | cat_activity,mass,molar_mass,time | m·t·M_m·z | chemistry,mechanics | m·t⁻¹·M_m⁻¹·z⁻¹ | m = k₀ · t·M_m·z | null | 0 | 2 | 1 | 4 | 2.6 | 6.9 | true | {"mass": "1", "time": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | boltzmann,concentration,gas_constant,mass,molar_energy,time | m·t·c_n·E_m·R·k_B | chemistry,constants,mechanics | m³·t⁻⁶·c_n⁻²·E_m⁻³·R·k_B⁻¹ | R = k₀ · m⁻³·t⁶·c_n²·E_m³·k_B | null | 1 | 3 | 6 | 16 | 14.7 | -5.7 | false | {"mass": "3", "time": "-6", "concentration": "-2", "molar_energy": "-3", "gas_constant": "1", "boltzmann": "-1"} |
5 | cat_activity,concentration,mass,molar_energy,time | m·t·c_n·E_m·z | chemistry,mechanics | m³·t⁻⁷·c_n⁻²·E_m⁻³·z⁻¹ | z = k₀ · m³·t⁻⁷·c_n⁻²·E_m⁻³ | null | 0 | 2 | 7 | 16 | 14.3 | -4.8 | false | {"mass": "3", "time": "-7", "concentration": "-2", "molar_energy": "-3", "cat_activity": "-1"} |
6 | concentration,illuminance,lum_intensity,mass,molar_energy,time | m·t·c_n·E_m·I_v·E_v | chemistry,mechanics,photometry | m²·t⁻⁴·c_n⁻²·E_m⁻²·I_v⁻¹·E_v | I_v = k₀ · m²·t⁻⁴·c_n⁻²·E_m⁻²·E_v | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-4", "concentration": "-2", "molar_energy": "-2", "lum_intensity": "-1", "illuminance": "1"} |
6 | concentration,lum_intensity,luminance,mass,molar_energy,time | m·t·c_n·E_m·I_v·L_v | chemistry,mechanics,photometry | m²·t⁻⁴·c_n⁻²·E_m⁻²·I_v⁻¹·L_v | I_v = k₀ · m²·t⁻⁴·c_n⁻²·E_m⁻²·L_v | null | 0 | 3 | 4 | 12 | 10.9 | -1.9 | false | {"mass": "2", "time": "-4", "concentration": "-2", "molar_energy": "-2", "lum_intensity": "-1", "luminance": "1"} |
5 | concentration,light_speed,mass,molar_energy,time | m·t·c_n·E_m·c₀ | chemistry,constants,mechanics | m·t⁻³·c_n⁻¹·E_m⁻¹·c₀⁻¹ | m = k₀ · t³·c_n·E_m·c₀ | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "time": "-3", "concentration": "-1", "molar_energy": "-1", "light_speed": "-1"} |
5 | concentration,grav_const,mass,molar_energy,time | m·t·c_n·E_m·G | chemistry,constants,mechanics | m²·t⁻⁸·c_n⁻³·E_m⁻³·G⁻¹ | G = k₀ · m²·t⁻⁸·c_n⁻³·E_m⁻³ | null | 1 | 3 | 8 | 17 | 16.1 | -7.1 | false | {"mass": "2", "time": "-8", "concentration": "-3", "molar_energy": "-3", "grav_const": "-1"} |
5 | concentration,mass,molar_energy,planck,time | m·t·c_n·E_m·h | chemistry,constants,mechanics | m³·t⁻⁵·c_n⁻²·E_m⁻²·h⁻¹ | h = k₀ · m³·t⁻⁵·c_n⁻²·E_m⁻² | null | 1 | 3 | 5 | 13 | 11.8 | -2.8 | false | {"mass": "3", "time": "-5", "concentration": "-2", "molar_energy": "-2", "planck": "-1"} |
5 | avogadro,concentration,mass,molar_energy,time | m·t·c_n·E_m·N_A | chemistry,constants,mechanics | m³·t⁻⁶·c_n⁻²·E_m⁻³·N_A | N_A = k₀ · m⁻³·t⁶·c_n²·E_m³ | null | 1 | 3 | 6 | 15 | 13.7 | -4.7 | false | {"mass": "3", "time": "-6", "concentration": "-2", "molar_energy": "-3", "avogadro": "1"} |
6 | boltzmann,concentration,gas_constant,grav_const,mass,time | m·t·c_n·R·G·k_B | chemistry,constants,mechanics | m·t²·c_n·R·G·k_B⁻¹ | m = k₀ · t⁻²·c_n⁻¹·R⁻¹·G⁻¹·k_B | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"mass": "1", "time": "2", "concentration": "1", "gas_constant": "1", "grav_const": "1", "boltzmann": "-1"} |
6 | boltzmann,concentration,gas_constant,mass,planck,time | m·t·c_n·R·h·k_B | chemistry,constants,mechanics | m³·t⁻³·c_n⁻²·R⁻²·h⁻³·k_B² | c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·R⁻¹·h⁻³ᐟ²·k_B | null | 2 | 3 | 3 | 15 | 13.5 | -6 | false | {"mass": "3", "time": "-3", "concentration": "-2", "gas_constant": "-2", "planck": "-3", "boltzmann": "2"} |
5 | cat_activity,concentration,grav_const,mass,time | m·t·c_n·z·G | chemistry,constants,mechanics | m·t·c_n·z⁻¹·G | m = k₀ · t⁻¹·c_n⁻¹·z·G⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "1", "concentration": "1", "cat_activity": "-1", "grav_const": "1"} |
5 | cat_activity,concentration,mass,planck,time | m·t·c_n·z·h | chemistry,constants,mechanics | m³·t⁻¹·c_n⁻²·z²·h⁻³ | t = k₀ · m³·c_n⁻²·z²·h⁻³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "time": "-1", "concentration": "-2", "cat_activity": "2", "planck": "-3"} |
5 | avogadro,concentration,grav_const,mass,time | m·t·c_n·G·N_A | chemistry,constants,mechanics | m·t²·c_n·G·N_A | m = k₀ · t⁻²·c_n⁻¹·G⁻¹·N_A⁻¹ | null | 2 | 3 | 2 | 6 | 6.4 | 1.1 | false | {"mass": "1", "time": "2", "concentration": "1", "grav_const": "1", "avogadro": "1"} |
5 | avogadro,concentration,mass,planck,time | m·t·c_n·h·N_A | chemistry,constants,mechanics | m³·t⁻³·c_n⁻²·h⁻³·N_A⁻² | c_n = k₀ · m³ᐟ²·t⁻³ᐟ²·h⁻³ᐟ²·N_A⁻¹ | null | 2 | 3 | 3 | 13 | 11.8 | -4.3 | false | {"mass": "3", "time": "-3", "concentration": "-2", "planck": "-3", "avogadro": "-2"} |
7 | boltzmann,gas_constant,illuminance,lum_intensity,mass,molar_energy,time | m·t·E_m·R·I_v·E_v·k_B | chemistry,constants,mechanics,photometry | m·t⁻²·E_m⁻¹·R·I_v·E_v⁻¹·k_B⁻¹ | m = k₀ · t²·E_m·R⁻¹·I_v⁻¹·E_v·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "molar_energy": "-1", "gas_constant": "1", "lum_intensity": "1", "illuminance": "-1", "boltzmann": "-1"} |
7 | boltzmann,gas_constant,lum_intensity,luminance,mass,molar_energy,time | m·t·E_m·R·I_v·L_v·k_B | chemistry,constants,mechanics,photometry | m·t⁻²·E_m⁻¹·R·I_v·L_v⁻¹·k_B⁻¹ | m = k₀ · t²·E_m·R⁻¹·I_v⁻¹·L_v·k_B | null | 1 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "time": "-2", "molar_energy": "-1", "gas_constant": "1", "lum_intensity": "1", "luminance": "-1", "boltzmann": "-1"} |
6 | boltzmann,gas_constant,grav_const,mass,molar_energy,time | m·t·E_m·R·G·k_B | chemistry,constants,mechanics | m⁵·t⁻²·E_m⁻³·R³·G²·k_B⁻³ | t = k₀ · m⁵ᐟ²·E_m⁻³ᐟ²·R³ᐟ²·G·k_B⁻³ᐟ² | null | 2 | 3 | 5 | 18 | 16.6 | -9.1 | false | {"mass": "5", "time": "-2", "molar_energy": "-3", "gas_constant": "3", "grav_const": "2", "boltzmann": "-3"} |
6 | cat_activity,illuminance,lum_intensity,mass,molar_energy,time | m·t·E_m·z·I_v·E_v | chemistry,mechanics,photometry | m·t⁻³·E_m⁻¹·z⁻¹·I_v·E_v⁻¹ | m = k₀ · t³·E_m·z·I_v⁻¹·E_v | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "time": "-3", "molar_energy": "-1", "cat_activity": "-1", "lum_intensity": "1", "illuminance": "-1"} |
6 | cat_activity,lum_intensity,luminance,mass,molar_energy,time | m·t·E_m·z·I_v·L_v | chemistry,mechanics,photometry | m·t⁻³·E_m⁻¹·z⁻¹·I_v·L_v⁻¹ | m = k₀ · t³·E_m·z·I_v⁻¹·L_v | null | 0 | 3 | 3 | 8 | 7.6 | 1.4 | false | {"mass": "1", "time": "-3", "molar_energy": "-1", "cat_activity": "-1", "lum_intensity": "1", "luminance": "-1"} |
5 | cat_activity,light_speed,mass,molar_energy,time | m·t·E_m·z·c₀ | chemistry,constants,mechanics | m·t⁻¹·E_m⁻¹·z⁻¹·c₀² | m = k₀ · t·E_m·z·c₀⁻² | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "time": "-1", "molar_energy": "-1", "cat_activity": "-1", "light_speed": "2"} |
5 | cat_activity,grav_const,mass,molar_energy,time | m·t·E_m·z·G | chemistry,constants,mechanics | m⁵·t⁻⁵·E_m⁻³·z⁻³·G² | G = k₀ · m⁻⁵ᐟ²·t⁵ᐟ²·E_m³ᐟ²·z³ᐟ² | null | 1 | 3 | 5 | 18 | 15.3 | -6.3 | false | {"mass": "5", "time": "-5", "molar_energy": "-3", "cat_activity": "-3", "grav_const": "2"} |
6 | avogadro,illuminance,lum_intensity,mass,molar_energy,time | m·t·E_m·I_v·E_v·N_A | chemistry,constants,mechanics,photometry | m·t⁻²·E_m⁻¹·I_v·E_v⁻¹·N_A | m = k₀ · t²·E_m·I_v⁻¹·E_v·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-2", "molar_energy": "-1", "lum_intensity": "1", "illuminance": "-1", "avogadro": "1"} |
6 | avogadro,lum_intensity,luminance,mass,molar_energy,time | m·t·E_m·I_v·L_v·N_A | chemistry,constants,mechanics,photometry | m·t⁻²·E_m⁻¹·I_v·L_v⁻¹·N_A | m = k₀ · t²·E_m·I_v⁻¹·L_v·N_A⁻¹ | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "time": "-2", "molar_energy": "-1", "lum_intensity": "1", "luminance": "-1", "avogadro": "1"} |
5 | avogadro,grav_const,mass,molar_energy,time | m·t·E_m·G·N_A | chemistry,constants,mechanics | m⁵·t⁻²·E_m⁻³·G²·N_A³ | t = k₀ · m⁵ᐟ²·E_m⁻³ᐟ²·G·N_A³ᐟ² | null | 2 | 3 | 5 | 15 | 14.2 | -6.7 | false | {"mass": "5", "time": "-2", "molar_energy": "-3", "grav_const": "2", "avogadro": "3"} |
5 | grav_const,illuminance,lum_intensity,mass,time | m·t·I_v·E_v·G | constants,mechanics,photometry | m²·t⁴·I_v⁻³·E_v³·G² | m = k₀ · t⁻²·I_v³ᐟ²·E_v⁻³ᐟ²·G⁻¹ | null | 1 | 3 | 4 | 14 | 12 | -3 | false | {"mass": "2", "time": "4", "lum_intensity": "-3", "illuminance": "3", "grav_const": "2"} |
5 | illuminance,lum_intensity,mass,planck,time | m·t·I_v·E_v·h | constants,mechanics,photometry | m·t⁻¹·I_v·E_v⁻¹·h⁻¹ | m = k₀ · t·I_v⁻¹·E_v·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "-1", "lum_intensity": "1", "illuminance": "-1", "planck": "-1"} |
5 | grav_const,lum_intensity,luminance,mass,time | m·t·I_v·L_v·G | constants,mechanics,photometry | m²·t⁴·I_v⁻³·L_v³·G² | m = k₀ · t⁻²·I_v³ᐟ²·L_v⁻³ᐟ²·G⁻¹ | null | 1 | 3 | 4 | 14 | 12 | -3 | false | {"mass": "2", "time": "4", "lum_intensity": "-3", "luminance": "3", "grav_const": "2"} |
5 | lum_intensity,luminance,mass,planck,time | m·t·I_v·L_v·h | constants,mechanics,photometry | m·t⁻¹·I_v·L_v⁻¹·h⁻¹ | m = k₀ · t·I_v⁻¹·L_v·h | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "time": "-1", "lum_intensity": "1", "luminance": "-1", "planck": "-1"} |
4 | grav_const,light_speed,mass,time | m·t·c₀·G | constants,mechanics | m·t⁻¹·c₀⁻³·G | m = k₀ · t·c₀³·G⁻¹ | null | 2 | 2 | 3 | 6 | 6 | 2 | false | {"mass": "1", "time": "-1", "light_speed": "-3", "grav_const": "1"} |
4 | light_speed,mass,planck,time | m·t·c₀·h | constants,mechanics | m·t·c₀²·h⁻¹ | m = k₀ · t⁻¹·c₀⁻²·h | null | 2 | 2 | 2 | 5 | 4.8 | 3.2 | false | {"mass": "1", "time": "1", "light_speed": "2", "planck": "-1"} |
4 | grav_const,mass,planck,time | m·t·G·h | constants,mechanics | m⁵·t·G²·h⁻³ | t = k₀ · m⁻⁵·G⁻²·h³ | null | 2 | 2 | 5 | 11 | 10.5 | -2.5 | false | {"mass": "5", "time": "1", "grav_const": "2", "planck": "-3"} |
4 | acceleration,mass,power,velocity | m·v·a·P | mechanics | m·v·a·P⁻¹ | m = k₀ · v⁻¹·a⁻¹·P | null | 0 | 1 | 1 | 4 | 2 | 8 | true | {"mass": "1", "velocity": "1", "acceleration": "1", "power": "-1"} |
4 | acceleration,ang_momentum,mass,velocity | m·v·a·Lₐ | mechanics | m·v³·a⁻¹·Lₐ⁻¹ | m = k₀ · v⁻³·a·Lₐ | null | 0 | 1 | 3 | 6 | 4.4 | 5.6 | true | {"mass": "1", "velocity": "3", "acceleration": "-1", "ang_momentum": "-1"} |
4 | acceleration,action,mass,velocity | m·v·a·S | mechanics | m·v³·a⁻¹·S⁻¹ | m = k₀ · v⁻³·a·S | null | 0 | 1 | 3 | 6 | 4.4 | 5.6 | true | {"mass": "1", "velocity": "3", "acceleration": "-1", "action": "-1"} |
4 | acceleration,inertia,mass,velocity | m·v·a·J | mechanics | m·v⁴·a⁻²·J⁻¹ | m = k₀ · v⁻⁴·a²·J | null | 0 | 1 | 4 | 8 | 6.3 | 3.7 | false | {"mass": "1", "velocity": "4", "acceleration": "-2", "inertia": "-1"} |
4 | acceleration,mass,pressure,velocity | m·v·a·P_p | mechanics | m·v⁻⁴·a³·P_p⁻¹ | m = k₀ · v⁴·a⁻³·P_p | null | 0 | 1 | 4 | 9 | 7 | 3 | false | {"mass": "1", "velocity": "-4", "acceleration": "3", "pressure": "-1"} |
4 | acceleration,density,mass,velocity | m·v·a·ρ | mechanics | m·v⁻⁶·a³·ρ⁻¹ | m = k₀ · v⁶·a⁻³·ρ | null | 0 | 1 | 6 | 11 | 9.4 | 0.6 | false | {"mass": "1", "velocity": "-6", "acceleration": "3", "density": "-1"} |
4 | acceleration,mass,velocity,viscosity | m·v·a·μ | mechanics | m·v⁻³·a²·μ⁻¹ | m = k₀ · v³·a⁻²·μ | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "velocity": "-3", "acceleration": "2", "viscosity": "-1"} |
4 | acceleration,mass,stiffness,velocity | m·v·a·k | mechanics | m·v⁻²·a²·k⁻¹ | m = k₀ · v²·a⁻²·k | null | 0 | 1 | 2 | 6 | 3.9 | 6.1 | true | {"mass": "1", "velocity": "-2", "acceleration": "2", "stiffness": "-1"} |
4 | acceleration,mass,surf_tension,velocity | m·v·a·γ | mechanics | m·v⁻²·a²·γ⁻¹ | m = k₀ · v²·a⁻²·γ | null | 0 | 1 | 2 | 6 | 3.9 | 6.1 | true | {"mass": "1", "velocity": "-2", "acceleration": "2", "surf_tension": "-1"} |
5 | acceleration,mass,temperature,thermal_cond,velocity | m·v·a·Θ·κ | mechanics,thermo | m·v⁻¹·a²·Θ⁻¹·κ⁻¹ | m = k₀ · v·a⁻²·Θ·κ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "velocity": "-1", "acceleration": "2", "temperature": "-1", "thermal_cond": "-1"} |
6 | acceleration,concentration,gas_constant,mass,temperature,velocity | m·v·a·Θ·c_n·R | chemistry,mechanics,thermo | m·v⁻⁴·a³·Θ⁻¹·c_n⁻¹·R⁻¹ | m = k₀ · v⁴·a⁻³·Θ·c_n·R | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "velocity": "-4", "acceleration": "3", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,cat_activity,gas_constant,mass,temperature,velocity | m·v·a·Θ·R·z | chemistry,mechanics,thermo | m·v·a·Θ⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻¹·a⁻¹·Θ·R·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "velocity": "1", "acceleration": "1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
5 | acceleration,mass,specific_heat,thermal_cond,velocity | m·v·a·c·κ | mechanics,thermo | m·v⁻³·a²·c·κ⁻¹ | m = k₀ · v³·a⁻²·c⁻¹·κ | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "velocity": "-3", "acceleration": "2", "specific_heat": "1", "thermal_cond": "-1"} |
6 | acceleration,concentration,gas_constant,mass,specific_heat,velocity | m·v·a·c·c_n·R | chemistry,mechanics,thermo | m·v⁻⁶·a³·c·c_n⁻¹·R⁻¹ | m = k₀ · v⁶·a⁻³·c⁻¹·c_n·R | null | 0 | 3 | 6 | 13 | 12.6 | -3.6 | false | {"mass": "1", "velocity": "-6", "acceleration": "3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,cat_activity,gas_constant,mass,specific_heat,velocity | m·v·a·c·R·z | chemistry,mechanics,thermo | m·v⁻¹·a·c·R⁻¹·z⁻¹ | m = k₀ · v·a⁻¹·c⁻¹·R·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "velocity": "-1", "acceleration": "1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1"} |
5 | acceleration,expansion,mass,thermal_cond,velocity | m·v·a·κ·β | mechanics,thermo | m·v⁻¹·a²·κ⁻¹·β | m = k₀ · v·a⁻²·κ·β⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "velocity": "-1", "acceleration": "2", "thermal_cond": "-1", "expansion": "1"} |
6 | acceleration,gas_constant,mass,molar_mass,thermal_cond,velocity | m·v·a·κ·M_m·R | chemistry,mechanics,thermo | m·v⁻³·a²·κ⁻¹·M_m⁻¹·R | m = k₀ · v³·a⁻²·κ·M_m·R⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "velocity": "-3", "acceleration": "2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"} |
6 | acceleration,gas_constant,mass,molar_energy,thermal_cond,velocity | m·v·a·κ·E_m·R | chemistry,mechanics,thermo | m·v⁻¹·a²·κ⁻¹·E_m⁻¹·R | m = k₀ · v·a⁻²·κ·E_m·R⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "-1", "acceleration": "2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"} |
6 | acceleration,concentration,expansion,gas_constant,mass,velocity | m·v·a·β·c_n·R | chemistry,mechanics,thermo | m·v⁻⁴·a³·β·c_n⁻¹·R⁻¹ | m = k₀ · v⁴·a⁻³·β⁻¹·c_n·R | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "1", "velocity": "-4", "acceleration": "3", "expansion": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,cat_activity,expansion,gas_constant,mass,velocity | m·v·a·β·R·z | chemistry,mechanics,thermo | m·v·a·β·R⁻¹·z⁻¹ | m = k₀ · v⁻¹·a⁻¹·β⁻¹·R·z | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "velocity": "1", "acceleration": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"} |
5 | acceleration,charge,mass,resistance,velocity | m·v·a·q·R | em,mechanics | m·v³·a⁻¹·q⁻²·R⁻¹ | m = k₀ · v⁻³·a·q²·R | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "velocity": "3", "acceleration": "-1", "charge": "-2", "resistance": "-1"} |
5 | acceleration,charge,inductance,mass,velocity | m·v·a·q·L_e | em,mechanics | m·v⁴·a⁻²·q⁻²·L_e⁻¹ | m = k₀ · v⁻⁴·a²·q²·L_e | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "velocity": "4", "acceleration": "-2", "charge": "-2", "inductance": "-1"} |
5 | acceleration,bfield,charge,mass,velocity | m·v·a·q·B | em,mechanics | m·v⁻¹·a·q⁻¹·B⁻¹ | m = k₀ · v·a⁻¹·q·B | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "velocity": "-1", "acceleration": "1", "charge": "-1", "bfield": "-1"} |
5 | acceleration,charge,mag_flux,mass,velocity | m·v·a·q·Φ | em,mechanics | m·v³·a⁻¹·q⁻¹·Φ⁻¹ | m = k₀ · v⁻³·a·q·Φ | null | 0 | 2 | 3 | 7 | 6 | 3.5 | true | {"mass": "1", "velocity": "3", "acceleration": "-1", "charge": "-1", "mag_flux": "-1"} |
5 | acceleration,charge,mass,permittivity,velocity | m·v·a·q·ε | em,mechanics | m·v⁴·a⁻¹·q⁻²·ε | m = k₀ · v⁻⁴·a·q²·ε⁻¹ | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "velocity": "4", "acceleration": "-1", "charge": "-2", "permittivity": "1"} |
5 | acceleration,charge,mass,permeability,velocity | m·v·a·q·μ₀ | em,mechanics | m·v²·a⁻¹·q⁻²·μ₀⁻¹ | m = k₀ · v⁻²·a·q²·μ₀ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "velocity": "2", "acceleration": "-1", "charge": "-2", "permeability": "-1"} |
5 | acceleration,charge,conductivity,mass,velocity | m·v·a·q·σ | em,mechanics | m·v⁵·a⁻²·q⁻²·σ | m = k₀ · v⁻⁵·a²·q²·σ⁻¹ | null | 0 | 2 | 5 | 11 | 9.8 | -0.3 | false | {"mass": "1", "velocity": "5", "acceleration": "-2", "charge": "-2", "conductivity": "1"} |
5 | acceleration,charge,mass,resistivity,velocity | m·v·a·q·ρ_e | em,mechanics | m·v⁵·a⁻²·q⁻²·ρ_e⁻¹ | m = k₀ · v⁻⁵·a²·q²·ρ_e | null | 0 | 2 | 5 | 11 | 9.8 | -0.3 | false | {"mass": "1", "velocity": "5", "acceleration": "-2", "charge": "-2", "resistivity": "-1"} |
5 | acceleration,current,mass,velocity,voltage | m·v·a·i·U | em,mechanics | m·v·a·i⁻¹·U⁻¹ | m = k₀ · v⁻¹·a⁻¹·i·U | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "velocity": "1", "acceleration": "1", "current": "-1", "voltage": "-1"} |
5 | acceleration,current,mass,resistance,velocity | m·v·a·i·R | em,mechanics | m·v·a·i⁻²·R⁻¹ | m = k₀ · v⁻¹·a⁻¹·i²·R | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "velocity": "1", "acceleration": "1", "current": "-2", "resistance": "-1"} |
5 | acceleration,current,efield,mass,velocity | m·v·a·i·E_f | em,mechanics | m·v⁻¹·a²·i⁻¹·E_f⁻¹ | m = k₀ · v·a⁻²·i·E_f | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "velocity": "-1", "acceleration": "2", "current": "-1", "efield": "-1"} |
5 | acceleration,bfield,current,mass,velocity | m·v·a·i·B | em,mechanics | m·v⁻²·a²·i⁻¹·B⁻¹ | m = k₀ · v²·a⁻²·i·B | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "velocity": "-2", "acceleration": "2", "current": "-1", "bfield": "-1"} |
5 | acceleration,current,mass,permittivity,velocity | m·v·a·i·ε | em,mechanics | m·v²·a·i⁻²·ε | m = k₀ · v⁻²·a⁻¹·i²·ε⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "velocity": "2", "acceleration": "1", "current": "-2", "permittivity": "1"} |
5 | acceleration,mass,resistance,velocity,voltage | m·v·a·U·R | em,mechanics | m·v·a·U⁻²·R | m = k₀ · v⁻¹·a⁻¹·U²·R⁻¹ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "1", "velocity": "1", "acceleration": "1", "voltage": "-2", "resistance": "1"} |
5 | acceleration,mass,permeability,velocity,voltage | m·v·a·U·μ₀ | em,mechanics | m·v²·a·U⁻²·μ₀ | m = k₀ · v⁻²·a⁻¹·U²·μ₀⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "velocity": "2", "acceleration": "1", "voltage": "-2", "permeability": "1"} |
5 | acceleration,conductivity,mass,velocity,voltage | m·v·a·U·σ | em,mechanics | m·v⁻¹·a²·U⁻²·σ⁻¹ | m = k₀ · v·a⁻²·U²·σ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "velocity": "-1", "acceleration": "2", "voltage": "-2", "conductivity": "-1"} |
5 | acceleration,mass,resistivity,velocity,voltage | m·v·a·U·ρ_e | em,mechanics | m·v⁻¹·a²·U⁻²·ρ_e | m = k₀ · v·a⁻²·U²·ρ_e⁻¹ | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "velocity": "-1", "acceleration": "2", "voltage": "-2", "resistivity": "1"} |
5 | acceleration,efield,mass,resistance,velocity | m·v·a·R·E_f | em,mechanics | m·v⁻³·a³·R·E_f⁻² | m = k₀ · v³·a⁻³·R⁻¹·E_f² | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "velocity": "-3", "acceleration": "3", "resistance": "1", "efield": "-2"} |
5 | acceleration,bfield,mass,resistance,velocity | m·v·a·R·B | em,mechanics | m·v⁻⁵·a³·R·B⁻² | m = k₀ · v⁵·a⁻³·R⁻¹·B² | null | 0 | 2 | 5 | 12 | 10.5 | -1 | false | {"mass": "1", "velocity": "-5", "acceleration": "3", "resistance": "1", "bfield": "-2"} |
5 | acceleration,mag_flux,mass,resistance,velocity | m·v·a·R·Φ | em,mechanics | m·v³·a⁻¹·R·Φ⁻² | m = k₀ · v⁻³·a·R⁻¹·Φ² | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "1", "velocity": "3", "acceleration": "-1", "resistance": "1", "mag_flux": "-2"} |
5 | acceleration,elem_charge,mass,resistance,velocity | m·v·a·R·e | constants,em,mechanics | m·v³·a⁻¹·R⁻¹·e⁻² | m = k₀ · v⁻³·a·R·e² | null | 1 | 3 | 3 | 8 | 7.3 | 1.7 | false | {"mass": "1", "velocity": "3", "acceleration": "-1", "resistance": "-1", "elem_charge": "-2"} |
5 | acceleration,capacitance,efield,mass,velocity | m·v·a·C_e·E_f | em,mechanics | m·v⁻²·a²·C_e⁻¹·E_f⁻² | m = k₀ · v²·a⁻²·C_e·E_f² | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "1", "velocity": "-2", "acceleration": "2", "capacitance": "-1", "efield": "-2"} |
5 | acceleration,bfield,capacitance,mass,velocity | m·v·a·C_e·B | em,mechanics | m·v⁻⁴·a²·C_e⁻¹·B⁻² | m = k₀ · v⁴·a⁻²·C_e·B² | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "velocity": "-4", "acceleration": "2", "capacitance": "-1", "bfield": "-2"} |
5 | acceleration,capacitance,mag_flux,mass,velocity | m·v·a·C_e·Φ | em,mechanics | m·v⁴·a⁻²·C_e⁻¹·Φ⁻² | m = k₀ · v⁻⁴·a²·C_e·Φ² | null | 0 | 2 | 4 | 10 | 8.6 | 0.9 | false | {"mass": "1", "velocity": "4", "acceleration": "-2", "capacitance": "-1", "mag_flux": "-2"} |
5 | acceleration,efield,inductance,mass,velocity | m·v·a·L_e·E_f | em,mechanics | m·v⁻⁴·a⁴·L_e·E_f⁻² | m = k₀ · v⁴·a⁻⁴·L_e⁻¹·E_f² | null | 0 | 2 | 4 | 12 | 10 | -0.5 | false | {"mass": "1", "velocity": "-4", "acceleration": "4", "inductance": "1", "efield": "-2"} |
5 | acceleration,bfield,inductance,mass,velocity | m·v·a·L_e·B | em,mechanics | m·v⁻⁶·a⁴·L_e·B⁻² | m = k₀ · v⁶·a⁻⁴·L_e⁻¹·B² | null | 0 | 2 | 6 | 14 | 12.4 | -2.9 | false | {"mass": "1", "velocity": "-6", "acceleration": "4", "inductance": "1", "bfield": "-2"} |
5 | acceleration,elem_charge,inductance,mass,velocity | m·v·a·L_e·e | constants,em,mechanics | m·v⁴·a⁻²·L_e⁻¹·e⁻² | m = k₀ · v⁻⁴·a²·L_e·e² | null | 1 | 3 | 4 | 10 | 9.2 | -0.2 | false | {"mass": "1", "velocity": "4", "acceleration": "-2", "inductance": "-1", "elem_charge": "-2"} |
5 | acceleration,efield,mass,permittivity,velocity | m·v·a·E_f·ε | em,mechanics | m·v⁻⁴·a³·E_f⁻²·ε⁻¹ | m = k₀ · v⁴·a⁻³·E_f²·ε | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "velocity": "-4", "acceleration": "3", "efield": "-2", "permittivity": "-1"} |
5 | acceleration,efield,mass,permeability,velocity | m·v·a·E_f·μ₀ | em,mechanics | m·v⁻²·a³·E_f⁻²·μ₀ | m = k₀ · v²·a⁻³·E_f²·μ₀⁻¹ | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "velocity": "-2", "acceleration": "3", "efield": "-2", "permeability": "1"} |
5 | acceleration,conductivity,efield,mass,velocity | m·v·a·E_f·σ | em,mechanics | m·v⁻⁵·a⁴·E_f⁻²·σ⁻¹ | m = k₀ · v⁵·a⁻⁴·E_f²·σ | null | 0 | 2 | 5 | 13 | 11.2 | -1.7 | false | {"mass": "1", "velocity": "-5", "acceleration": "4", "efield": "-2", "conductivity": "-1"} |
5 | acceleration,efield,mass,resistivity,velocity | m·v·a·E_f·ρ_e | em,mechanics | m·v⁻⁵·a⁴·E_f⁻²·ρ_e | m = k₀ · v⁵·a⁻⁴·E_f²·ρ_e⁻¹ | null | 0 | 2 | 5 | 13 | 11.2 | -1.7 | false | {"mass": "1", "velocity": "-5", "acceleration": "4", "efield": "-2", "resistivity": "1"} |
5 | acceleration,bfield,mass,permittivity,velocity | m·v·a·B·ε | em,mechanics | m·v⁻⁶·a³·B⁻²·ε⁻¹ | m = k₀ · v⁶·a⁻³·B²·ε | null | 0 | 2 | 6 | 13 | 11.7 | -2.2 | false | {"mass": "1", "velocity": "-6", "acceleration": "3", "bfield": "-2", "permittivity": "-1"} |
5 | acceleration,bfield,mass,permeability,velocity | m·v·a·B·μ₀ | em,mechanics | m·v⁻⁴·a³·B⁻²·μ₀ | m = k₀ · v⁴·a⁻³·B²·μ₀⁻¹ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "velocity": "-4", "acceleration": "3", "bfield": "-2", "permeability": "1"} |
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