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 | acceleration,elem_charge,mag_flux,mass,pressure | m·a·P_p·Φ·e | constants,em,mechanics | m⁷·a⁵·P_p⁻³·Φ⁻⁴·e⁻⁴ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·Φ⁻⁴ᐟ³·e⁻⁴ᐟ³ | null | 1 | 3 | 7 | 23 | 19.8 | -10.8 | false | {"mass": "7", "acceleration": "5", "pressure": "-3", "mag_flux": "-4", "elem_charge": "-4"} |
5 | acceleration,mass,permeability,permittivity,pressure | m·a·P_p·ε·μ₀ | em,mechanics | m·a³·P_p⁻¹·ε²·μ₀² | m = k₀ · a⁻³·P_p·ε⁻²·μ₀⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "permittivity": "2", "permeability": "2"} |
5 | acceleration,conductivity,mass,permittivity,pressure | m·a·P_p·ε·σ | em,mechanics | m·a⁻¹·P_p⁻¹·ε⁻⁴·σ⁴ | m = k₀ · a·P_p·ε⁴·σ⁻⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "permittivity": "-4", "conductivity": "4"} |
5 | acceleration,mass,permittivity,pressure,resistivity | m·a·P_p·ε·ρ_e | em,mechanics | m·a⁻¹·P_p⁻¹·ε⁻⁴·ρ_e⁻⁴ | m = k₀ · a·P_p·ε⁴·ρ_e⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "permittivity": "-4", "resistivity": "-4"} |
5 | acceleration,elem_charge,mass,permittivity,pressure | m·a·P_p·ε·e | constants,em,mechanics | m²·a²·P_p⁻¹·ε·e⁻² | P_p = k₀ · m²·a²·ε·e⁻² | null | 1 | 3 | 2 | 8 | 6.8 | 2.2 | false | {"mass": "2", "acceleration": "2", "pressure": "-1", "permittivity": "1", "elem_charge": "-2"} |
5 | acceleration,conductivity,mass,permeability,pressure | m·a·P_p·μ₀·σ | em,mechanics | m³·a⁵·P_p⁻³·μ₀⁴·σ⁴ | m = k₀ · a⁻⁵ᐟ³·P_p·μ₀⁻⁴ᐟ³·σ⁻⁴ᐟ³ | null | 0 | 2 | 5 | 19 | 15.4 | -5.9 | false | {"mass": "3", "acceleration": "5", "pressure": "-3", "permeability": "4", "conductivity": "4"} |
5 | acceleration,mass,permeability,pressure,resistivity | m·a·P_p·μ₀·ρ_e | em,mechanics | m³·a⁵·P_p⁻³·μ₀⁴·ρ_e⁻⁴ | m = k₀ · a⁻⁵ᐟ³·P_p·μ₀⁻⁴ᐟ³·ρ_e⁴ᐟ³ | null | 0 | 2 | 5 | 19 | 15.4 | -5.9 | false | {"mass": "3", "acceleration": "5", "pressure": "-3", "permeability": "4", "resistivity": "-4"} |
5 | acceleration,elem_charge,mass,permeability,pressure | m·a·P_p·μ₀·e | constants,em,mechanics | m³·a·P_p⁻¹·μ₀⁻²·e⁻⁴ | a = k₀ · m⁻³·P_p·μ₀²·e⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "3", "acceleration": "1", "pressure": "-1", "permeability": "-2", "elem_charge": "-4"} |
5 | acceleration,conductivity,elem_charge,mass,pressure | m·a·P_p·σ·e | constants,em,mechanics | m⁹·a⁷·P_p⁻⁵·σ⁴·e⁻⁸ | σ = k₀ · m⁻⁹ᐟ⁴·a⁻⁷ᐟ⁴·P_p⁵ᐟ⁴·e² | null | 1 | 3 | 9 | 33 | 27.8 | -18.8 | false | {"mass": "9", "acceleration": "7", "pressure": "-5", "conductivity": "4", "elem_charge": "-8"} |
5 | acceleration,elem_charge,mass,pressure,resistivity | m·a·P_p·ρ_e·e | constants,em,mechanics | m⁹·a⁷·P_p⁻⁵·ρ_e⁻⁴·e⁻⁸ | ρ_e = k₀ · m⁹ᐟ⁴·a⁷ᐟ⁴·P_p⁻⁵ᐟ⁴·e⁻² | null | 1 | 3 | 9 | 33 | 27.8 | -18.8 | false | {"mass": "9", "acceleration": "7", "pressure": "-5", "resistivity": "-4", "elem_charge": "-8"} |
5 | acceleration,amount,concentration,mass,pressure | m·a·P_p·n·c_n | chemistry,mechanics | m³·a³·P_p⁻³·n⁻²·c_n² | n = k₀ · m³ᐟ²·a³ᐟ²·P_p⁻³ᐟ²·c_n | null | 0 | 2 | 3 | 13 | 10.2 | -0.7 | false | {"mass": "3", "acceleration": "3", "pressure": "-3", "amount": "-2", "concentration": "2"} |
5 | acceleration,amount,mass,molar_energy,pressure | m·a·P_p·n·E_m | chemistry,mechanics | m³·a³·P_p⁻¹·n⁻²·E_m⁻² | P_p = k₀ · m³·a³·n⁻²·E_m⁻² | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "amount": "-2", "molar_energy": "-2"} |
5 | acceleration,amount,cat_activity,mass,pressure | m·a·P_p·n·z | chemistry,mechanics | m·a⁻¹·P_p⁻¹·n⁻⁴·z⁴ | m = k₀ · a·P_p·n⁴·z⁻⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "amount": "-4", "cat_activity": "4"} |
5 | acceleration,concentration,mass,molar_mass,pressure | m·a·P_p·M_m·c_n | chemistry,mechanics | m·a³·P_p⁻³·M_m²·c_n² | m = k₀ · a⁻³·P_p³·M_m⁻²·c_n⁻² | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "3", "pressure": "-3", "molar_mass": "2", "concentration": "2"} |
5 | acceleration,mass,molar_energy,molar_mass,pressure | m·a·P_p·M_m·E_m | chemistry,mechanics | m·a³·P_p⁻¹·M_m²·E_m⁻² | m = k₀ · a⁻³·P_p·M_m⁻²·E_m² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "molar_mass": "2", "molar_energy": "-2"} |
5 | acceleration,cat_activity,mass,molar_mass,pressure | m·a·P_p·M_m·z | chemistry,mechanics | m³·a·P_p·M_m⁻⁴·z⁻⁴ | a = k₀ · m⁻³·P_p⁻¹·M_m⁴·z⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "1", "pressure": "1", "molar_mass": "-4", "cat_activity": "-4"} |
6 | acceleration,boltzmann,concentration,gas_constant,mass,pressure | m·a·P_p·c_n·R·k_B | chemistry,constants,mechanics | m³·a³·P_p⁻³·c_n²·R²·k_B⁻² | c_n = k₀ · m⁻³ᐟ²·a⁻³ᐟ²·P_p³ᐟ²·R⁻¹·k_B | null | 1 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "3", "acceleration": "3", "pressure": "-3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"} |
5 | acceleration,cat_activity,concentration,mass,pressure | m·a·P_p·c_n·z | chemistry,mechanics | m⁵·a⁷·P_p⁻⁵·c_n⁴·z⁻⁴ | c_n = k₀ · m⁻⁵ᐟ⁴·a⁻⁷ᐟ⁴·P_p⁵ᐟ⁴·z | null | 0 | 2 | 7 | 25 | 20.6 | -11.1 | false | {"mass": "5", "acceleration": "7", "pressure": "-5", "concentration": "4", "cat_activity": "-4"} |
5 | acceleration,avogadro,concentration,mass,pressure | m·a·P_p·c_n·N_A | chemistry,constants,mechanics | m³·a³·P_p⁻³·c_n²·N_A² | c_n = k₀ · m⁻³ᐟ²·a⁻³ᐟ²·P_p³ᐟ²·N_A⁻¹ | null | 1 | 3 | 3 | 13 | 10.8 | -1.8 | false | {"mass": "3", "acceleration": "3", "pressure": "-3", "concentration": "2", "avogadro": "2"} |
6 | acceleration,boltzmann,gas_constant,mass,molar_energy,pressure | m·a·P_p·E_m·R·k_B | chemistry,constants,mechanics | m³·a³·P_p⁻¹·E_m⁻²·R²·k_B⁻² | P_p = k₀ · m³·a³·E_m⁻²·R²·k_B⁻² | null | 1 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "molar_energy": "-2", "gas_constant": "2", "boltzmann": "-2"} |
5 | acceleration,cat_activity,mass,molar_energy,pressure | m·a·P_p·E_m·z | chemistry,mechanics | m⁵·a⁷·P_p⁻¹·E_m⁻⁴·z⁻⁴ | P_p = k₀ · m⁵·a⁷·E_m⁻⁴·z⁻⁴ | null | 0 | 2 | 7 | 21 | 17.8 | -8.3 | false | {"mass": "5", "acceleration": "7", "pressure": "-1", "molar_energy": "-4", "cat_activity": "-4"} |
5 | acceleration,avogadro,mass,molar_energy,pressure | m·a·P_p·E_m·N_A | chemistry,constants,mechanics | m³·a³·P_p⁻¹·E_m⁻²·N_A² | P_p = k₀ · m³·a³·E_m⁻²·N_A² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "molar_energy": "-2", "avogadro": "2"} |
6 | acceleration,boltzmann,cat_activity,gas_constant,mass,pressure | m·a·P_p·R·z·k_B | chemistry,constants,mechanics | m·a⁻¹·P_p⁻¹·R⁴·z⁴·k_B⁻⁴ | m = k₀ · a·P_p·R⁻⁴·z⁻⁴·k_B⁴ | null | 1 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "gas_constant": "4", "cat_activity": "4", "boltzmann": "-4"} |
5 | acceleration,avogadro,cat_activity,mass,pressure | m·a·P_p·z·N_A | chemistry,constants,mechanics | m·a⁻¹·P_p⁻¹·z⁴·N_A⁴ | m = k₀ · a·P_p·z⁻⁴·N_A⁻⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "cat_activity": "4", "avogadro": "4"} |
5 | acceleration,illuminance,lum_intensity,mass,pressure | m·a·P_p·I_v·E_v | mechanics,photometry | m·a·P_p⁻¹·I_v⁻¹·E_v | m = k₀ · a⁻¹·P_p·I_v·E_v⁻¹ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "lum_intensity": "-1", "illuminance": "1"} |
5 | acceleration,lum_intensity,luminance,mass,pressure | m·a·P_p·I_v·L_v | mechanics,photometry | m·a·P_p⁻¹·I_v⁻¹·L_v | m = k₀ · a⁻¹·P_p·I_v·L_v⁻¹ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "lum_intensity": "-1", "luminance": "1"} |
4 | acceleration,light_speed,mass,pressure | m·a·P_p·c₀ | constants,mechanics | m·a³·P_p⁻¹·c₀⁻⁴ | m = k₀ · a⁻³·P_p·c₀⁴ | null | 1 | 2 | 4 | 9 | 7.6 | 1.9 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "light_speed": "-4"} |
4 | acceleration,mass,planck,pressure | m·a·P_p·h | constants,mechanics | m⁷·a⁵·P_p⁻³·h⁻⁴ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·h⁻⁴ᐟ³ | null | 1 | 2 | 7 | 19 | 16.1 | -6.6 | false | {"mass": "7", "acceleration": "5", "pressure": "-3", "planck": "-4"} |
4 | acceleration,density,mass,viscosity | m·a·ρ·μ | mechanics | m·a·ρ·μ⁻² | m = k₀ · a⁻¹·ρ⁻¹·μ² | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "acceleration": "1", "density": "1", "viscosity": "-2"} |
4 | acceleration,density,kin_viscosity,mass | m·a·ρ·ν | mechanics | m·a·ρ⁻¹·ν⁻² | m = k₀ · a⁻¹·ρ·ν² | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "1", "acceleration": "1", "density": "-1", "kin_viscosity": "-2"} |
4 | acceleration,density,mass,omega | m·a·ρ·ω | mechanics | m·a⁻³·ρ⁻¹·ω⁶ | m = k₀ · a³·ρ·ω⁻⁶ | null | 0 | 1 | 6 | 11 | 9.4 | 0.6 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "omega": "6"} |
4 | acceleration,density,frequency,mass | m·a·ρ·f | mechanics | m·a⁻³·ρ⁻¹·f⁶ | m = k₀ · a³·ρ·f⁻⁶ | null | 0 | 1 | 6 | 11 | 9.4 | 0.6 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "frequency": "6"} |
4 | acceleration,density,mass,stiffness | m·a·ρ·k | mechanics | m²·a³·ρ·k⁻³ | ρ = k₀ · m⁻²·a⁻³·k³ | null | 0 | 1 | 3 | 9 | 6.5 | 3.5 | false | {"mass": "2", "acceleration": "3", "density": "1", "stiffness": "-3"} |
4 | acceleration,density,mass,surf_tension | m·a·ρ·γ | mechanics | m²·a³·ρ·γ⁻³ | ρ = k₀ · m⁻²·a⁻³·γ³ | null | 0 | 1 | 3 | 9 | 6.5 | 3.5 | false | {"mass": "2", "acceleration": "3", "density": "1", "surf_tension": "-3"} |
4 | acceleration,density,flowrate,mass | m·a·ρ·Q | mechanics | m⁵·a³·ρ⁻⁵·Q⁻⁶ | a = k₀ · m⁻⁵ᐟ³·ρ⁵ᐟ³·Q² | null | 0 | 1 | 6 | 19 | 15 | -5 | false | {"mass": "5", "acceleration": "3", "density": "-5", "flowrate": "-6"} |
5 | acceleration,density,entropy,mass,temperature | m·a·ρ·Θ·S_e | mechanics,thermo | m⁴·a³·ρ⁻¹·Θ⁻³·S_e⁻³ | ρ = k₀ · m⁴·a³·Θ⁻³·S_e⁻³ | null | 0 | 2 | 4 | 14 | 11.4 | -1.9 | false | {"mass": "4", "acceleration": "3", "density": "-1", "temperature": "-3", "entropy": "-3"} |
5 | acceleration,density,heat_capacity,mass,temperature | m·a·ρ·Θ·C | mechanics,thermo | m⁴·a³·ρ⁻¹·Θ⁻³·C⁻³ | ρ = k₀ · m⁴·a³·Θ⁻³·C⁻³ | null | 0 | 2 | 4 | 14 | 11.4 | -1.9 | false | {"mass": "4", "acceleration": "3", "density": "-1", "temperature": "-3", "heat_capacity": "-3"} |
5 | acceleration,density,mass,specific_heat,temperature | m·a·ρ·Θ·c | mechanics,thermo | m·a³·ρ⁻¹·Θ⁻³·c⁻³ | m = k₀ · a⁻³·ρ·Θ³·c³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "3", "density": "-1", "temperature": "-3", "specific_heat": "-3"} |
5 | acceleration,density,mass,temperature,thermal_cond | m·a·ρ·Θ·κ | mechanics,thermo | m⁵·a⁹·ρ·Θ⁻⁶·κ⁻⁶ | ρ = k₀ · m⁻⁵·a⁻⁹·Θ⁶·κ⁶ | null | 0 | 2 | 9 | 27 | 23 | -13.5 | false | {"mass": "5", "acceleration": "9", "density": "1", "temperature": "-6", "thermal_cond": "-6"} |
6 | acceleration,amount,density,gas_constant,mass,temperature | m·a·ρ·Θ·n·R | chemistry,mechanics,thermo | m⁴·a³·ρ⁻¹·Θ⁻³·n⁻³·R⁻³ | ρ = k₀ · m⁴·a³·Θ⁻³·n⁻³·R⁻³ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "4", "acceleration": "3", "density": "-1", "temperature": "-3", "amount": "-3", "gas_constant": "-3"} |
6 | acceleration,density,gas_constant,mass,molar_mass,temperature | m·a·ρ·Θ·M_m·R | chemistry,mechanics,thermo | m·a³·ρ⁻¹·Θ⁻³·M_m³·R⁻³ | m = k₀ · a⁻³·ρ·Θ³·M_m⁻³·R³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "3", "density": "-1", "temperature": "-3", "molar_mass": "3", "gas_constant": "-3"} |
6 | acceleration,concentration,density,gas_constant,mass,temperature | m·a·ρ·Θ·c_n·R | chemistry,mechanics,thermo | m·a³·ρ²·Θ⁻³·c_n⁻³·R⁻³ | m = k₀ · a⁻³·ρ⁻²·Θ³·c_n³·R³ | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "1", "acceleration": "3", "density": "2", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"} |
6 | acceleration,cat_activity,density,gas_constant,mass,temperature | m·a·ρ·Θ·R·z | chemistry,mechanics,thermo | m⁷·a⁹·ρ⁻¹·Θ⁻⁶·R⁻⁶·z⁻⁶ | ρ = k₀ · m⁷·a⁹·Θ⁻⁶·R⁻⁶·z⁻⁶ | null | 0 | 3 | 9 | 35 | 29.5 | -20.5 | false | {"mass": "7", "acceleration": "9", "density": "-1", "temperature": "-6", "gas_constant": "-6", "cat_activity": "-6"} |
6 | acceleration,avogadro,density,gas_constant,mass,temperature | m·a·ρ·Θ·R·N_A | chemistry,constants,mechanics,thermo | m⁴·a³·ρ⁻¹·Θ⁻³·R⁻³·N_A³ | ρ = k₀ · m⁴·a³·Θ⁻³·R⁻³·N_A³ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "4", "acceleration": "3", "density": "-1", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"} |
5 | acceleration,boltzmann,density,mass,temperature | m·a·ρ·Θ·k_B | constants,mechanics,thermo | m⁴·a³·ρ⁻¹·Θ⁻³·k_B⁻³ | ρ = k₀ · m⁴·a³·Θ⁻³·k_B⁻³ | null | 1 | 3 | 4 | 14 | 12 | -3 | false | {"mass": "4", "acceleration": "3", "density": "-1", "temperature": "-3", "boltzmann": "-3"} |
5 | acceleration,density,entropy,mass,thermal_cond | m·a·ρ·S_e·κ | mechanics,thermo | m·a⁻¹·ρ⁻¹·S_e⁻²·κ² | m = k₀ · a·ρ·S_e²·κ⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "-1", "density": "-1", "entropy": "-2", "thermal_cond": "2"} |
5 | acceleration,density,entropy,expansion,mass | m·a·ρ·S_e·β | mechanics,thermo | m⁴·a³·ρ⁻¹·S_e⁻³·β³ | ρ = k₀ · m⁴·a³·S_e⁻³·β³ | null | 0 | 2 | 4 | 14 | 11.4 | -1.9 | false | {"mass": "4", "acceleration": "3", "density": "-1", "entropy": "-3", "expansion": "3"} |
6 | acceleration,density,entropy,gas_constant,mass,molar_energy | m·a·ρ·S_e·E_m·R | chemistry,mechanics,thermo | m⁴·a³·ρ⁻¹·S_e⁻³·E_m⁻³·R³ | ρ = k₀ · m⁴·a³·S_e⁻³·E_m⁻³·R³ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "4", "acceleration": "3", "density": "-1", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"} |
6 | acceleration,cat_activity,density,entropy,gas_constant,mass | m·a·ρ·S_e·R·z | chemistry,mechanics,thermo | m·a⁻³·ρ⁻¹·S_e⁻⁶·R⁶·z⁶ | m = k₀ · a³·ρ·S_e⁶·R⁻⁶·z⁻⁶ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "entropy": "-6", "gas_constant": "6", "cat_activity": "6"} |
5 | acceleration,density,heat_capacity,mass,thermal_cond | m·a·ρ·C·κ | mechanics,thermo | m·a⁻¹·ρ⁻¹·C⁻²·κ² | m = k₀ · a·ρ·C²·κ⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "-1", "density": "-1", "heat_capacity": "-2", "thermal_cond": "2"} |
5 | acceleration,density,expansion,heat_capacity,mass | m·a·ρ·C·β | mechanics,thermo | m⁴·a³·ρ⁻¹·C⁻³·β³ | ρ = k₀ · m⁴·a³·C⁻³·β³ | null | 0 | 2 | 4 | 14 | 11.4 | -1.9 | false | {"mass": "4", "acceleration": "3", "density": "-1", "heat_capacity": "-3", "expansion": "3"} |
6 | acceleration,density,gas_constant,heat_capacity,mass,molar_energy | m·a·ρ·C·E_m·R | chemistry,mechanics,thermo | m⁴·a³·ρ⁻¹·C⁻³·E_m⁻³·R³ | ρ = k₀ · m⁴·a³·C⁻³·E_m⁻³·R³ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "4", "acceleration": "3", "density": "-1", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"} |
6 | acceleration,cat_activity,density,gas_constant,heat_capacity,mass | m·a·ρ·C·R·z | chemistry,mechanics,thermo | m·a⁻³·ρ⁻¹·C⁻⁶·R⁶·z⁶ | m = k₀ · a³·ρ·C⁶·R⁻⁶·z⁻⁶ | null | 0 | 3 | 6 | 23 | 19.6 | -10.6 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "heat_capacity": "-6", "gas_constant": "6", "cat_activity": "6"} |
5 | acceleration,density,mass,specific_heat,thermal_cond | m·a·ρ·c·κ | mechanics,thermo | m·a·ρ·c²·κ⁻² | m = k₀ · a⁻¹·ρ⁻¹·c⁻²·κ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "density": "1", "specific_heat": "2", "thermal_cond": "-2"} |
5 | acceleration,density,expansion,mass,specific_heat | m·a·ρ·c·β | mechanics,thermo | m·a³·ρ⁻¹·c⁻³·β³ | m = k₀ · a⁻³·ρ·c³·β⁻³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "3", "density": "-1", "specific_heat": "-3", "expansion": "3"} |
6 | acceleration,density,gas_constant,mass,molar_energy,specific_heat | m·a·ρ·c·E_m·R | chemistry,mechanics,thermo | m·a³·ρ⁻¹·c⁻³·E_m⁻³·R³ | m = k₀ · a⁻³·ρ·c³·E_m³·R⁻³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "3", "density": "-1", "specific_heat": "-3", "molar_energy": "-3", "gas_constant": "3"} |
6 | acceleration,cat_activity,density,gas_constant,mass,specific_heat | m·a·ρ·c·R·z | chemistry,mechanics,thermo | m⁵·a³·ρ·c⁶·R⁻⁶·z⁻⁶ | ρ = k₀ · m⁻⁵·a⁻³·c⁻⁶·R⁶·z⁶ | null | 0 | 3 | 6 | 27 | 22.4 | -13.4 | false | {"mass": "5", "acceleration": "3", "density": "1", "specific_heat": "6", "gas_constant": "-6", "cat_activity": "-6"} |
5 | acceleration,density,expansion,mass,thermal_cond | m·a·ρ·κ·β | mechanics,thermo | m⁵·a⁹·ρ·κ⁻⁶·β⁶ | ρ = k₀ · m⁻⁵·a⁻⁹·κ⁶·β⁻⁶ | null | 0 | 2 | 9 | 27 | 23 | -13.5 | false | {"mass": "5", "acceleration": "9", "density": "1", "thermal_cond": "-6", "expansion": "6"} |
6 | acceleration,amount,density,gas_constant,mass,thermal_cond | m·a·ρ·κ·n·R | chemistry,mechanics,thermo | m·a⁻¹·ρ⁻¹·κ²·n⁻²·R⁻² | m = k₀ · a·ρ·κ⁻²·n²·R² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "acceleration": "-1", "density": "-1", "thermal_cond": "2", "amount": "-2", "gas_constant": "-2"} |
6 | acceleration,density,gas_constant,mass,molar_mass,thermal_cond | m·a·ρ·κ·M_m·R | chemistry,mechanics,thermo | m·a·ρ·κ⁻²·M_m⁻²·R² | m = k₀ · a⁻¹·ρ⁻¹·κ²·M_m²·R⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "acceleration": "1", "density": "1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"} |
6 | acceleration,concentration,density,gas_constant,mass,thermal_cond | m·a·ρ·κ·c_n·R | chemistry,mechanics,thermo | m·a·ρ⁻¹·κ⁻²·c_n²·R² | m = k₀ · a⁻¹·ρ·κ²·c_n⁻²·R⁻² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "acceleration": "1", "density": "-1", "thermal_cond": "-2", "concentration": "2", "gas_constant": "2"} |
6 | acceleration,density,gas_constant,mass,molar_energy,thermal_cond | m·a·ρ·κ·E_m·R | chemistry,mechanics,thermo | m⁵·a⁹·ρ·κ⁻⁶·E_m⁻⁶·R⁶ | ρ = k₀ · m⁻⁵·a⁻⁹·κ⁶·E_m⁶·R⁻⁶ | null | 0 | 3 | 9 | 33 | 28.1 | -19.1 | false | {"mass": "5", "acceleration": "9", "density": "1", "thermal_cond": "-6", "molar_energy": "-6", "gas_constant": "6"} |
6 | acceleration,avogadro,density,gas_constant,mass,thermal_cond | m·a·ρ·κ·R·N_A | chemistry,constants,mechanics,thermo | m·a⁻¹·ρ⁻¹·κ²·R⁻²·N_A² | m = k₀ · a·ρ·κ⁻²·R²·N_A⁻² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "1", "acceleration": "-1", "density": "-1", "thermal_cond": "2", "gas_constant": "-2", "avogadro": "2"} |
5 | acceleration,boltzmann,density,mass,thermal_cond | m·a·ρ·κ·k_B | constants,mechanics,thermo | m·a⁻¹·ρ⁻¹·κ²·k_B⁻² | m = k₀ · a·ρ·κ⁻²·k_B² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "acceleration": "-1", "density": "-1", "thermal_cond": "2", "boltzmann": "-2"} |
4 | acceleration,density,mass,thermal_diff | m·a·ρ·α | mechanics,thermo | m·a·ρ⁻¹·α⁻² | m = k₀ · a⁻¹·ρ·α² | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "acceleration": "1", "density": "-1", "thermal_diff": "-2"} |
6 | acceleration,amount,density,expansion,gas_constant,mass | m·a·ρ·β·n·R | chemistry,mechanics,thermo | m⁴·a³·ρ⁻¹·β³·n⁻³·R⁻³ | ρ = k₀ · m⁴·a³·β³·n⁻³·R⁻³ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "4", "acceleration": "3", "density": "-1", "expansion": "3", "amount": "-3", "gas_constant": "-3"} |
6 | acceleration,density,expansion,gas_constant,mass,molar_mass | m·a·ρ·β·M_m·R | chemistry,mechanics,thermo | m·a³·ρ⁻¹·β³·M_m³·R⁻³ | m = k₀ · a⁻³·ρ·β⁻³·M_m⁻³·R³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "3", "density": "-1", "expansion": "3", "molar_mass": "3", "gas_constant": "-3"} |
6 | acceleration,concentration,density,expansion,gas_constant,mass | m·a·ρ·β·c_n·R | chemistry,mechanics,thermo | m·a³·ρ²·β³·c_n⁻³·R⁻³ | m = k₀ · a⁻³·ρ⁻²·β⁻³·c_n³·R³ | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "1", "acceleration": "3", "density": "2", "expansion": "3", "concentration": "-3", "gas_constant": "-3"} |
6 | acceleration,cat_activity,density,expansion,gas_constant,mass | m·a·ρ·β·R·z | chemistry,mechanics,thermo | m⁷·a⁹·ρ⁻¹·β⁶·R⁻⁶·z⁻⁶ | ρ = k₀ · m⁷·a⁹·β⁶·R⁻⁶·z⁻⁶ | null | 0 | 3 | 9 | 35 | 29.5 | -20.5 | false | {"mass": "7", "acceleration": "9", "density": "-1", "expansion": "6", "gas_constant": "-6", "cat_activity": "-6"} |
6 | acceleration,avogadro,density,expansion,gas_constant,mass | m·a·ρ·β·R·N_A | chemistry,constants,mechanics,thermo | m⁴·a³·ρ⁻¹·β³·R⁻³·N_A³ | ρ = k₀ · m⁴·a³·β³·R⁻³·N_A³ | null | 1 | 4 | 4 | 17 | 15 | -6.5 | false | {"mass": "4", "acceleration": "3", "density": "-1", "expansion": "3", "gas_constant": "-3", "avogadro": "3"} |
5 | acceleration,boltzmann,density,expansion,mass | m·a·ρ·β·k_B | constants,mechanics,thermo | m⁴·a³·ρ⁻¹·β³·k_B⁻³ | ρ = k₀ · m⁴·a³·β³·k_B⁻³ | null | 1 | 3 | 4 | 14 | 12 | -3 | false | {"mass": "4", "acceleration": "3", "density": "-1", "expansion": "3", "boltzmann": "-3"} |
5 | acceleration,charge,current,density,mass | m·a·ρ·q·i | em,mechanics | m·a⁻³·ρ⁻¹·q⁻⁶·i⁶ | m = k₀ · a³·ρ·q⁶·i⁻⁶ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "charge": "-6", "current": "6"} |
5 | acceleration,charge,density,mass,voltage | m·a·ρ·q·U | em,mechanics | m⁴·a³·ρ⁻¹·q⁻³·U⁻³ | ρ = k₀ · m⁴·a³·q⁻³·U⁻³ | null | 0 | 2 | 4 | 14 | 11.4 | -1.9 | false | {"mass": "4", "acceleration": "3", "density": "-1", "charge": "-3", "voltage": "-3"} |
5 | acceleration,charge,density,mass,resistance | m·a·ρ·q·R | em,mechanics | m³·a·ρ⁻¹·q⁻⁴·R⁻² | a = k₀ · m⁻³·ρ·q⁴·R² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "3", "acceleration": "1", "density": "-1", "charge": "-4", "resistance": "-2"} |
5 | acceleration,capacitance,charge,density,mass | m·a·ρ·q·C_e | em,mechanics | m⁴·a³·ρ⁻¹·q⁻⁶·C_e³ | ρ = k₀ · m⁴·a³·q⁻⁶·C_e³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "4", "acceleration": "3", "density": "-1", "charge": "-6", "capacitance": "3"} |
5 | acceleration,bfield,charge,density,mass | m·a·ρ·q·B | em,mechanics | m⁵·a³·ρ·q⁻⁶·B⁻⁶ | ρ = k₀ · m⁻⁵·a⁻³·q⁶·B⁶ | null | 0 | 2 | 6 | 21 | 17.3 | -7.8 | false | {"mass": "5", "acceleration": "3", "density": "1", "charge": "-6", "bfield": "-6"} |
5 | acceleration,charge,density,mag_flux,mass | m·a·ρ·q·Φ | em,mechanics | m³·a·ρ⁻¹·q⁻²·Φ⁻² | a = k₀ · m⁻³·ρ·q²·Φ² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "3", "acceleration": "1", "density": "-1", "charge": "-2", "mag_flux": "-2"} |
5 | acceleration,charge,density,mass,permittivity | m·a·ρ·q·ε | em,mechanics | m⁵·a³·ρ⁻²·q⁻⁶·ε³ | ρ = k₀ · m⁵ᐟ²·a³ᐟ²·q⁻³·ε³ᐟ² | null | 0 | 2 | 6 | 19 | 15.9 | -6.4 | false | {"mass": "5", "acceleration": "3", "density": "-2", "charge": "-6", "permittivity": "3"} |
5 | acceleration,charge,conductivity,density,mass | m·a·ρ·q·σ | em,mechanics | m¹¹·a³·ρ⁻⁵·q⁻¹²·σ⁶ | a = k₀ · m⁻¹¹ᐟ³·ρ⁵ᐟ³·q⁴·σ⁻² | null | 0 | 2 | 12 | 37 | 31.5 | -22 | false | {"mass": "11", "acceleration": "3", "density": "-5", "charge": "-12", "conductivity": "6"} |
5 | acceleration,charge,density,mass,resistivity | m·a·ρ·q·ρ_e | em,mechanics | m¹¹·a³·ρ⁻⁵·q⁻¹²·ρ_e⁻⁶ | a = k₀ · m⁻¹¹ᐟ³·ρ⁵ᐟ³·q⁴·ρ_e² | null | 0 | 2 | 12 | 37 | 31.5 | -22 | false | {"mass": "11", "acceleration": "3", "density": "-5", "charge": "-12", "resistivity": "-6"} |
5 | acceleration,current,density,mass,voltage | m·a·ρ·i·U | em,mechanics | m⁷·a⁹·ρ⁻¹·i⁻⁶·U⁻⁶ | ρ = k₀ · m⁷·a⁹·i⁻⁶·U⁻⁶ | null | 0 | 2 | 9 | 29 | 24.4 | -14.9 | false | {"mass": "7", "acceleration": "9", "density": "-1", "current": "-6", "voltage": "-6"} |
5 | acceleration,current,density,mass,resistance | m·a·ρ·i·R | em,mechanics | m⁷·a⁹·ρ⁻¹·i⁻¹²·R⁻⁶ | ρ = k₀ · m⁷·a⁹·i⁻¹²·R⁻⁶ | null | 0 | 2 | 12 | 35 | 30.1 | -20.6 | false | {"mass": "7", "acceleration": "9", "density": "-1", "current": "-12", "resistance": "-6"} |
5 | acceleration,current,density,inductance,mass | m·a·ρ·i·L_e | em,mechanics | m⁴·a³·ρ⁻¹·i⁻⁶·L_e⁻³ | ρ = k₀ · m⁴·a³·i⁻⁶·L_e⁻³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "4", "acceleration": "3", "density": "-1", "current": "-6", "inductance": "-3"} |
5 | acceleration,current,density,efield,mass | m·a·ρ·i·E_f | em,mechanics | m⁵·a⁹·ρ·i⁻⁶·E_f⁻⁶ | ρ = k₀ · m⁻⁵·a⁻⁹·i⁶·E_f⁶ | null | 0 | 2 | 9 | 27 | 23 | -13.5 | false | {"mass": "5", "acceleration": "9", "density": "1", "current": "-6", "efield": "-6"} |
5 | acceleration,bfield,current,density,mass | m·a·ρ·i·B | em,mechanics | m²·a³·ρ·i⁻³·B⁻³ | ρ = k₀ · m⁻²·a⁻³·i³·B³ | null | 0 | 2 | 3 | 12 | 9.5 | 0 | false | {"mass": "2", "acceleration": "3", "density": "1", "current": "-3", "bfield": "-3"} |
5 | acceleration,current,density,mag_flux,mass | m·a·ρ·i·Φ | em,mechanics | m⁴·a³·ρ⁻¹·i⁻³·Φ⁻³ | ρ = k₀ · m⁴·a³·i⁻³·Φ⁻³ | null | 0 | 2 | 4 | 14 | 11.4 | -1.9 | false | {"mass": "4", "acceleration": "3", "density": "-1", "current": "-3", "mag_flux": "-3"} |
5 | acceleration,current,density,mass,permittivity | m·a·ρ·i·ε | em,mechanics | m⁴·a⁶·ρ⁻¹·i⁻⁶·ε³ | ρ = k₀ · m⁴·a⁶·i⁻⁶·ε³ | null | 0 | 2 | 6 | 20 | 16.6 | -7.1 | false | {"mass": "4", "acceleration": "6", "density": "-1", "current": "-6", "permittivity": "3"} |
5 | acceleration,conductivity,current,density,mass | m·a·ρ·i·σ | em,mechanics | m³·a³·ρ⁻¹·i⁻⁴·σ² | ρ = k₀ · m³·a³·i⁻⁴·σ² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "3", "density": "-1", "current": "-4", "conductivity": "2"} |
5 | acceleration,current,density,mass,resistivity | m·a·ρ·i·ρ_e | em,mechanics | m³·a³·ρ⁻¹·i⁻⁴·ρ_e⁻² | ρ = k₀ · m³·a³·i⁻⁴·ρ_e⁻² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "3", "density": "-1", "current": "-4", "resistivity": "-2"} |
5 | acceleration,current,density,elem_charge,mass | m·a·ρ·i·e | constants,em,mechanics | m·a⁻³·ρ⁻¹·i⁶·e⁻⁶ | m = k₀ · a³·ρ·i⁻⁶·e⁶ | null | 1 | 3 | 6 | 17 | 15.1 | -6.1 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "current": "6", "elem_charge": "-6"} |
5 | acceleration,density,mass,resistance,voltage | m·a·ρ·U·R | em,mechanics | m⁷·a⁹·ρ⁻¹·U⁻¹²·R⁶ | ρ = k₀ · m⁷·a⁹·U⁻¹²·R⁶ | null | 0 | 2 | 12 | 35 | 30.1 | -20.6 | false | {"mass": "7", "acceleration": "9", "density": "-1", "voltage": "-12", "resistance": "6"} |
5 | acceleration,capacitance,density,mass,voltage | m·a·ρ·U·C_e | em,mechanics | m⁴·a³·ρ⁻¹·U⁻⁶·C_e⁻³ | ρ = k₀ · m⁴·a³·U⁻⁶·C_e⁻³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "4", "acceleration": "3", "density": "-1", "voltage": "-6", "capacitance": "-3"} |
5 | acceleration,bfield,density,mass,voltage | m·a·ρ·U·B | em,mechanics | m·a·ρ⁻¹·U⁻²·B² | m = k₀ · a⁻¹·ρ·U²·B⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "density": "-1", "voltage": "-2", "bfield": "2"} |
5 | acceleration,density,mag_flux,mass,voltage | m·a·ρ·U·Φ | em,mechanics | m·a⁻³·ρ⁻¹·U⁶·Φ⁻⁶ | m = k₀ · a³·ρ·U⁻⁶·Φ⁶ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "voltage": "6", "mag_flux": "-6"} |
5 | acceleration,density,mass,permeability,voltage | m·a·ρ·U·μ₀ | em,mechanics | m⁴·a⁶·ρ⁻¹·U⁻⁶·μ₀³ | ρ = k₀ · m⁴·a⁶·U⁻⁶·μ₀³ | null | 0 | 2 | 6 | 20 | 16.6 | -7.1 | false | {"mass": "4", "acceleration": "6", "density": "-1", "voltage": "-6", "permeability": "3"} |
5 | acceleration,conductivity,density,mass,voltage | m·a·ρ·U·σ | em,mechanics | m⁵·a⁹·ρ·U⁻¹²·σ⁻⁶ | ρ = k₀ · m⁻⁵·a⁻⁹·U¹²·σ⁶ | null | 0 | 2 | 12 | 33 | 28.7 | -19.2 | false | {"mass": "5", "acceleration": "9", "density": "1", "voltage": "-12", "conductivity": "-6"} |
5 | acceleration,density,mass,resistivity,voltage | m·a·ρ·U·ρ_e | em,mechanics | m⁵·a⁹·ρ·U⁻¹²·ρ_e⁶ | ρ = k₀ · m⁻⁵·a⁻⁹·U¹²·ρ_e⁻⁶ | null | 0 | 2 | 12 | 33 | 28.7 | -19.2 | false | {"mass": "5", "acceleration": "9", "density": "1", "voltage": "-12", "resistivity": "6"} |
5 | acceleration,density,elem_charge,mass,voltage | m·a·ρ·U·e | constants,em,mechanics | m⁴·a³·ρ⁻¹·U⁻³·e⁻³ | ρ = k₀ · m⁴·a³·U⁻³·e⁻³ | null | 1 | 3 | 4 | 14 | 12 | -3 | false | {"mass": "4", "acceleration": "3", "density": "-1", "voltage": "-3", "elem_charge": "-3"} |
5 | acceleration,capacitance,density,mass,resistance | m·a·ρ·R·C_e | em,mechanics | m·a⁻³·ρ⁻¹·R⁻⁶·C_e⁻⁶ | m = k₀ · a³·ρ·R⁶·C_e⁶ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "resistance": "-6", "capacitance": "-6"} |
5 | acceleration,density,inductance,mass,resistance | m·a·ρ·R·L_e | em,mechanics | m·a⁻³·ρ⁻¹·R⁶·L_e⁻⁶ | m = k₀ · a³·ρ·R⁻⁶·L_e⁶ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "1", "acceleration": "-3", "density": "-1", "resistance": "6", "inductance": "-6"} |
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