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 | acceleration,gas_constant,mass,molar_mass,pressure,temperature | m·a·P_p·Θ·M_m·R | chemistry,mechanics,thermo | m·a³·P_p⁻¹·Θ⁻²·M_m²·R⁻² | m = k₀ · a⁻³·P_p·Θ²·M_m⁻²·R² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "temperature": "-2", "molar_mass": "2", "gas_constant": "-2"} |
6 | acceleration,cat_activity,gas_constant,mass,pressure,temperature | m·a·P_p·Θ·R·z | chemistry,mechanics,thermo | m⁵·a⁷·P_p⁻¹·Θ⁻⁴·R⁻⁴·z⁻⁴ | P_p = k₀ · m⁵·a⁷·Θ⁻⁴·R⁻⁴·z⁻⁴ | null | 0 | 3 | 7 | 25 | 21.5 | -12.5 | false | {"mass": "5", "acceleration": "7", "pressure": "-1", "temperature": "-4", "gas_constant": "-4", "cat_activity": "-4"} |
6 | acceleration,avogadro,gas_constant,mass,pressure,temperature | m·a·P_p·Θ·R·N_A | chemistry,constants,mechanics,thermo | m³·a³·P_p⁻¹·Θ⁻²·R⁻²·N_A² | P_p = k₀ · m³·a³·Θ⁻²·R⁻²·N_A² | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "temperature": "-2", "gas_constant": "-2", "avogadro": "2"} |
5 | acceleration,boltzmann,mass,pressure,temperature | m·a·P_p·Θ·k_B | constants,mechanics,thermo | m³·a³·P_p⁻¹·Θ⁻²·k_B⁻² | P_p = k₀ · m³·a³·Θ⁻²·k_B⁻² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "temperature": "-2", "boltzmann": "-2"} |
5 | acceleration,entropy,mass,pressure,thermal_cond | m·a·P_p·S_e·κ | mechanics,thermo | m³·a·P_p⁻³·S_e⁻⁴·κ⁴ | a = k₀ · m⁻³·P_p³·S_e⁴·κ⁻⁴ | null | 0 | 2 | 4 | 15 | 12.1 | -2.6 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "entropy": "-4", "thermal_cond": "4"} |
5 | acceleration,entropy,expansion,mass,pressure | m·a·P_p·S_e·β | mechanics,thermo | m³·a³·P_p⁻¹·S_e⁻²·β² | P_p = k₀ · m³·a³·S_e⁻²·β² | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "entropy": "-2", "expansion": "2"} |
6 | acceleration,concentration,entropy,gas_constant,mass,pressure | m·a·P_p·S_e·c_n·R | chemistry,mechanics,thermo | m³·a³·P_p⁻³·S_e⁻²·c_n²·R² | S_e = k₀ · m³ᐟ²·a³ᐟ²·P_p⁻³ᐟ²·c_n·R | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "3", "acceleration": "3", "pressure": "-3", "entropy": "-2", "concentration": "2", "gas_constant": "2"} |
6 | acceleration,entropy,gas_constant,mass,molar_energy,pressure | m·a·P_p·S_e·E_m·R | chemistry,mechanics,thermo | m³·a³·P_p⁻¹·S_e⁻²·E_m⁻²·R² | P_p = k₀ · m³·a³·S_e⁻²·E_m⁻²·R² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "entropy": "-2", "molar_energy": "-2", "gas_constant": "2"} |
6 | acceleration,cat_activity,entropy,gas_constant,mass,pressure | m·a·P_p·S_e·R·z | chemistry,mechanics,thermo | m·a⁻¹·P_p⁻¹·S_e⁻⁴·R⁴·z⁴ | m = k₀ · a·P_p·S_e⁴·R⁻⁴·z⁻⁴ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "entropy": "-4", "gas_constant": "4", "cat_activity": "4"} |
5 | acceleration,heat_capacity,mass,pressure,thermal_cond | m·a·P_p·C·κ | mechanics,thermo | m³·a·P_p⁻³·C⁻⁴·κ⁴ | a = k₀ · m⁻³·P_p³·C⁴·κ⁻⁴ | null | 0 | 2 | 4 | 15 | 12.1 | -2.6 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "heat_capacity": "-4", "thermal_cond": "4"} |
5 | acceleration,expansion,heat_capacity,mass,pressure | m·a·P_p·C·β | mechanics,thermo | m³·a³·P_p⁻¹·C⁻²·β² | P_p = k₀ · m³·a³·C⁻²·β² | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "heat_capacity": "-2", "expansion": "2"} |
6 | acceleration,concentration,gas_constant,heat_capacity,mass,pressure | m·a·P_p·C·c_n·R | chemistry,mechanics,thermo | m³·a³·P_p⁻³·C⁻²·c_n²·R² | C = k₀ · m³ᐟ²·a³ᐟ²·P_p⁻³ᐟ²·c_n·R | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "3", "acceleration": "3", "pressure": "-3", "heat_capacity": "-2", "concentration": "2", "gas_constant": "2"} |
6 | acceleration,gas_constant,heat_capacity,mass,molar_energy,pressure | m·a·P_p·C·E_m·R | chemistry,mechanics,thermo | m³·a³·P_p⁻¹·C⁻²·E_m⁻²·R² | P_p = k₀ · m³·a³·C⁻²·E_m⁻²·R² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "heat_capacity": "-2", "molar_energy": "-2", "gas_constant": "2"} |
6 | acceleration,cat_activity,gas_constant,heat_capacity,mass,pressure | m·a·P_p·C·R·z | chemistry,mechanics,thermo | m·a⁻¹·P_p⁻¹·C⁻⁴·R⁴·z⁴ | m = k₀ · a·P_p·C⁴·R⁻⁴·z⁻⁴ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "heat_capacity": "-4", "gas_constant": "4", "cat_activity": "4"} |
5 | acceleration,mass,pressure,specific_heat,thermal_cond | m·a·P_p·c·κ | mechanics,thermo | m·a⁻¹·P_p³·c⁴·κ⁻⁴ | m = k₀ · a·P_p⁻³·c⁻⁴·κ⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "3", "specific_heat": "4", "thermal_cond": "-4"} |
5 | acceleration,expansion,mass,pressure,specific_heat | m·a·P_p·c·β | mechanics,thermo | m·a³·P_p⁻¹·c⁻²·β² | m = k₀ · a⁻³·P_p·c²·β⁻² | null | 0 | 2 | 3 | 9 | 7.4 | 2.1 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "specific_heat": "-2", "expansion": "2"} |
6 | acceleration,concentration,gas_constant,mass,pressure,specific_heat | m·a·P_p·c·c_n·R | chemistry,mechanics,thermo | m·a³·P_p⁻³·c⁻²·c_n²·R² | m = k₀ · a⁻³·P_p³·c²·c_n⁻²·R⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "acceleration": "3", "pressure": "-3", "specific_heat": "-2", "concentration": "2", "gas_constant": "2"} |
6 | acceleration,gas_constant,mass,molar_energy,pressure,specific_heat | m·a·P_p·c·E_m·R | chemistry,mechanics,thermo | m·a³·P_p⁻¹·c⁻²·E_m⁻²·R² | m = k₀ · a⁻³·P_p·c²·E_m²·R⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "specific_heat": "-2", "molar_energy": "-2", "gas_constant": "2"} |
6 | acceleration,cat_activity,gas_constant,mass,pressure,specific_heat | m·a·P_p·c·R·z | chemistry,mechanics,thermo | m³·a·P_p·c⁴·R⁻⁴·z⁻⁴ | a = k₀ · m⁻³·P_p⁻¹·c⁻⁴·R⁴·z⁴ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "3", "acceleration": "1", "pressure": "1", "specific_heat": "4", "gas_constant": "-4", "cat_activity": "-4"} |
5 | acceleration,expansion,mass,pressure,thermal_cond | m·a·P_p·κ·β | mechanics,thermo | m³·a⁵·P_p·κ⁻⁴·β⁴ | P_p = k₀ · m⁻³·a⁻⁵·κ⁴·β⁻⁴ | null | 0 | 2 | 5 | 17 | 14 | -4.5 | false | {"mass": "3", "acceleration": "5", "pressure": "1", "thermal_cond": "-4", "expansion": "4"} |
6 | acceleration,amount,gas_constant,mass,pressure,thermal_cond | m·a·P_p·κ·n·R | chemistry,mechanics,thermo | m³·a·P_p⁻³·κ⁴·n⁻⁴·R⁻⁴ | a = k₀ · m⁻³·P_p³·κ⁻⁴·n⁴·R⁴ | null | 0 | 3 | 4 | 19 | 15.8 | -6.8 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "thermal_cond": "4", "amount": "-4", "gas_constant": "-4"} |
6 | acceleration,gas_constant,mass,molar_mass,pressure,thermal_cond | m·a·P_p·κ·M_m·R | chemistry,mechanics,thermo | m·a⁻¹·P_p³·κ⁻⁴·M_m⁻⁴·R⁴ | m = k₀ · a·P_p⁻³·κ⁴·M_m⁴·R⁻⁴ | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "1", "acceleration": "-1", "pressure": "3", "thermal_cond": "-4", "molar_mass": "-4", "gas_constant": "4"} |
6 | acceleration,concentration,gas_constant,mass,pressure,thermal_cond | m·a·P_p·κ·c_n·R | chemistry,mechanics,thermo | m³·a⁵·P_p⁻³·κ⁻⁴·c_n⁴·R⁴ | m = k₀ · a⁻⁵ᐟ³·P_p·κ⁴ᐟ³·c_n⁻⁴ᐟ³·R⁻⁴ᐟ³ | null | 0 | 3 | 5 | 23 | 19.1 | -10.1 | false | {"mass": "3", "acceleration": "5", "pressure": "-3", "thermal_cond": "-4", "concentration": "4", "gas_constant": "4"} |
6 | acceleration,gas_constant,mass,molar_energy,pressure,thermal_cond | m·a·P_p·κ·E_m·R | chemistry,mechanics,thermo | m³·a⁵·P_p·κ⁻⁴·E_m⁻⁴·R⁴ | P_p = k₀ · m⁻³·a⁻⁵·κ⁴·E_m⁴·R⁻⁴ | null | 0 | 3 | 5 | 21 | 17.7 | -8.7 | false | {"mass": "3", "acceleration": "5", "pressure": "1", "thermal_cond": "-4", "molar_energy": "-4", "gas_constant": "4"} |
6 | acceleration,cat_activity,gas_constant,mass,pressure,thermal_cond | m·a·P_p·κ·R·z | chemistry,mechanics,thermo | m·a·P_p⁻¹·κ²·R⁻²·z⁻² | m = k₀ · a⁻¹·P_p·κ⁻²·R²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "acceleration": "1", "pressure": "-1", "thermal_cond": "2", "gas_constant": "-2", "cat_activity": "-2"} |
6 | acceleration,avogadro,gas_constant,mass,pressure,thermal_cond | m·a·P_p·κ·R·N_A | chemistry,constants,mechanics,thermo | m³·a·P_p⁻³·κ⁴·R⁻⁴·N_A⁴ | a = k₀ · m⁻³·P_p³·κ⁻⁴·R⁴·N_A⁻⁴ | null | 1 | 4 | 4 | 19 | 16.4 | -7.9 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "thermal_cond": "4", "gas_constant": "-4", "avogadro": "4"} |
5 | acceleration,boltzmann,mass,pressure,thermal_cond | m·a·P_p·κ·k_B | constants,mechanics,thermo | m³·a·P_p⁻³·κ⁴·k_B⁻⁴ | a = k₀ · m⁻³·P_p³·κ⁻⁴·k_B⁴ | null | 1 | 3 | 4 | 15 | 12.7 | -3.7 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "thermal_cond": "4", "boltzmann": "-4"} |
4 | acceleration,mass,pressure,thermal_diff | m·a·P_p·α | mechanics,thermo | m³·a⁵·P_p⁻³·α⁻⁴ | m = k₀ · a⁻⁵ᐟ³·P_p·α⁴ᐟ³ | null | 0 | 2 | 5 | 15 | 12.3 | -2.8 | false | {"mass": "3", "acceleration": "5", "pressure": "-3", "thermal_diff": "-4"} |
6 | acceleration,amount,expansion,gas_constant,mass,pressure | m·a·P_p·β·n·R | chemistry,mechanics,thermo | m³·a³·P_p⁻¹·β²·n⁻²·R⁻² | P_p = k₀ · m³·a³·β²·n⁻²·R⁻² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "expansion": "2", "amount": "-2", "gas_constant": "-2"} |
6 | acceleration,expansion,gas_constant,mass,molar_mass,pressure | m·a·P_p·β·M_m·R | chemistry,mechanics,thermo | m·a³·P_p⁻¹·β²·M_m²·R⁻² | m = k₀ · a⁻³·P_p·β⁻²·M_m⁻²·R² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "expansion": "2", "molar_mass": "2", "gas_constant": "-2"} |
6 | acceleration,cat_activity,expansion,gas_constant,mass,pressure | m·a·P_p·β·R·z | chemistry,mechanics,thermo | m⁵·a⁷·P_p⁻¹·β⁴·R⁻⁴·z⁻⁴ | P_p = k₀ · m⁵·a⁷·β⁴·R⁻⁴·z⁻⁴ | null | 0 | 3 | 7 | 25 | 21.5 | -12.5 | false | {"mass": "5", "acceleration": "7", "pressure": "-1", "expansion": "4", "gas_constant": "-4", "cat_activity": "-4"} |
6 | acceleration,avogadro,expansion,gas_constant,mass,pressure | m·a·P_p·β·R·N_A | chemistry,constants,mechanics,thermo | m³·a³·P_p⁻¹·β²·R⁻²·N_A² | P_p = k₀ · m³·a³·β²·R⁻²·N_A² | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "expansion": "2", "gas_constant": "-2", "avogadro": "2"} |
5 | acceleration,boltzmann,expansion,mass,pressure | m·a·P_p·β·k_B | constants,mechanics,thermo | m³·a³·P_p⁻¹·β²·k_B⁻² | P_p = k₀ · m³·a³·β²·k_B⁻² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "expansion": "2", "boltzmann": "-2"} |
5 | acceleration,charge,current,mass,pressure | m·a·P_p·q·i | em,mechanics | m·a⁻¹·P_p⁻¹·q⁻⁴·i⁴ | m = k₀ · a·P_p·q⁴·i⁻⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "charge": "-4", "current": "4"} |
5 | acceleration,charge,mass,pressure,voltage | m·a·P_p·q·U | em,mechanics | m³·a³·P_p⁻¹·q⁻²·U⁻² | P_p = k₀ · m³·a³·q⁻²·U⁻² | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "charge": "-2", "voltage": "-2"} |
5 | acceleration,charge,mass,pressure,resistance | m·a·P_p·q·R | em,mechanics | m⁷·a⁵·P_p⁻³·q⁻⁸·R⁻⁴ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·q⁻⁸ᐟ³·R⁻⁴ᐟ³ | null | 0 | 2 | 8 | 27 | 22.5 | -13 | false | {"mass": "7", "acceleration": "5", "pressure": "-3", "charge": "-8", "resistance": "-4"} |
5 | acceleration,capacitance,charge,mass,pressure | m·a·P_p·q·C_e | em,mechanics | m³·a³·P_p⁻¹·q⁻⁴·C_e² | P_p = k₀ · m³·a³·q⁻⁴·C_e² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "charge": "-4", "capacitance": "2"} |
5 | acceleration,charge,inductance,mass,pressure | m·a·P_p·q·L_e | em,mechanics | m²·a·P_p⁻¹·q⁻²·L_e⁻¹ | a = k₀ · m⁻²·P_p·q²·L_e | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "2", "acceleration": "1", "pressure": "-1", "charge": "-2", "inductance": "-1"} |
5 | acceleration,bfield,charge,mass,pressure | m·a·P_p·q·B | em,mechanics | m³·a·P_p·q⁻⁴·B⁻⁴ | a = k₀ · m⁻³·P_p⁻¹·q⁴·B⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "1", "pressure": "1", "charge": "-4", "bfield": "-4"} |
5 | acceleration,charge,mag_flux,mass,pressure | m·a·P_p·q·Φ | em,mechanics | m⁷·a⁵·P_p⁻³·q⁻⁴·Φ⁻⁴ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·q⁻⁴ᐟ³·Φ⁻⁴ᐟ³ | null | 0 | 2 | 7 | 23 | 19.2 | -9.7 | false | {"mass": "7", "acceleration": "5", "pressure": "-3", "charge": "-4", "mag_flux": "-4"} |
5 | acceleration,charge,mass,permittivity,pressure | m·a·P_p·q·ε | em,mechanics | m²·a²·P_p⁻¹·q⁻²·ε | P_p = k₀ · m²·a²·q⁻²·ε | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "2", "acceleration": "2", "pressure": "-1", "charge": "-2", "permittivity": "1"} |
5 | acceleration,charge,mass,permeability,pressure | m·a·P_p·q·μ₀ | em,mechanics | m³·a·P_p⁻¹·q⁻⁴·μ₀⁻² | a = k₀ · m⁻³·P_p·q⁴·μ₀² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "3", "acceleration": "1", "pressure": "-1", "charge": "-4", "permeability": "-2"} |
5 | acceleration,charge,conductivity,mass,pressure | m·a·P_p·q·σ | em,mechanics | m⁹·a⁷·P_p⁻⁵·q⁻⁸·σ⁴ | σ = k₀ · m⁻⁹ᐟ⁴·a⁻⁷ᐟ⁴·P_p⁵ᐟ⁴·q² | null | 0 | 2 | 9 | 33 | 27.2 | -17.7 | false | {"mass": "9", "acceleration": "7", "pressure": "-5", "charge": "-8", "conductivity": "4"} |
5 | acceleration,charge,mass,pressure,resistivity | m·a·P_p·q·ρ_e | em,mechanics | m⁹·a⁷·P_p⁻⁵·q⁻⁸·ρ_e⁻⁴ | ρ_e = k₀ · m⁹ᐟ⁴·a⁷ᐟ⁴·P_p⁻⁵ᐟ⁴·q⁻² | null | 0 | 2 | 9 | 33 | 27.2 | -17.7 | false | {"mass": "9", "acceleration": "7", "pressure": "-5", "charge": "-8", "resistivity": "-4"} |
5 | acceleration,current,mass,pressure,voltage | m·a·P_p·i·U | em,mechanics | m⁵·a⁷·P_p⁻¹·i⁻⁴·U⁻⁴ | P_p = k₀ · m⁵·a⁷·i⁻⁴·U⁻⁴ | null | 0 | 2 | 7 | 21 | 17.8 | -8.3 | false | {"mass": "5", "acceleration": "7", "pressure": "-1", "current": "-4", "voltage": "-4"} |
5 | acceleration,current,mass,pressure,resistance | m·a·P_p·i·R | em,mechanics | m⁵·a⁷·P_p⁻¹·i⁻⁸·R⁻⁴ | P_p = k₀ · m⁵·a⁷·i⁻⁸·R⁻⁴ | null | 0 | 2 | 8 | 25 | 21.1 | -11.6 | false | {"mass": "5", "acceleration": "7", "pressure": "-1", "current": "-8", "resistance": "-4"} |
5 | acceleration,current,inductance,mass,pressure | m·a·P_p·i·L_e | em,mechanics | m³·a³·P_p⁻¹·i⁻⁴·L_e⁻² | P_p = k₀ · m³·a³·i⁻⁴·L_e⁻² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "current": "-4", "inductance": "-2"} |
5 | acceleration,current,efield,mass,pressure | m·a·P_p·i·E_f | em,mechanics | m³·a⁵·P_p·i⁻⁴·E_f⁻⁴ | P_p = k₀ · m⁻³·a⁻⁵·i⁴·E_f⁴ | null | 0 | 2 | 5 | 17 | 14 | -4.5 | false | {"mass": "3", "acceleration": "5", "pressure": "1", "current": "-4", "efield": "-4"} |
5 | acceleration,bfield,current,mass,pressure | m·a·P_p·i·B | em,mechanics | m·a·P_p·i⁻²·B⁻² | m = k₀ · a⁻¹·P_p⁻¹·i²·B² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "pressure": "1", "current": "-2", "bfield": "-2"} |
5 | acceleration,current,mag_flux,mass,pressure | m·a·P_p·i·Φ | em,mechanics | m³·a³·P_p⁻¹·i⁻²·Φ⁻² | P_p = k₀ · m³·a³·i⁻²·Φ⁻² | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "current": "-2", "mag_flux": "-2"} |
5 | acceleration,current,mass,permittivity,pressure | m·a·P_p·i·ε | em,mechanics | m³·a⁵·P_p⁻¹·i⁻⁴·ε² | P_p = k₀ · m³·a⁵·i⁻⁴·ε² | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "3", "acceleration": "5", "pressure": "-1", "current": "-4", "permittivity": "2"} |
5 | acceleration,conductivity,current,mass,pressure | m·a·P_p·i·σ | em,mechanics | m⁷·a⁹·P_p⁻³·i⁻⁸·σ⁴ | P_p = k₀ · m⁷ᐟ³·a³·i⁻⁸ᐟ³·σ⁴ᐟ³ | null | 0 | 2 | 9 | 31 | 25.8 | -16.3 | false | {"mass": "7", "acceleration": "9", "pressure": "-3", "current": "-8", "conductivity": "4"} |
5 | acceleration,current,mass,pressure,resistivity | m·a·P_p·i·ρ_e | em,mechanics | m⁷·a⁹·P_p⁻³·i⁻⁸·ρ_e⁻⁴ | P_p = k₀ · m⁷ᐟ³·a³·i⁻⁸ᐟ³·ρ_e⁻⁴ᐟ³ | null | 0 | 2 | 9 | 31 | 25.8 | -16.3 | false | {"mass": "7", "acceleration": "9", "pressure": "-3", "current": "-8", "resistivity": "-4"} |
5 | acceleration,current,elem_charge,mass,pressure | m·a·P_p·i·e | constants,em,mechanics | m·a⁻¹·P_p⁻¹·i⁴·e⁻⁴ | m = k₀ · a·P_p·i⁻⁴·e⁴ | null | 1 | 3 | 4 | 11 | 9.9 | -0.9 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "current": "4", "elem_charge": "-4"} |
5 | acceleration,mass,pressure,resistance,voltage | m·a·P_p·U·R | em,mechanics | m⁵·a⁷·P_p⁻¹·U⁻⁸·R⁴ | P_p = k₀ · m⁵·a⁷·U⁻⁸·R⁴ | null | 0 | 2 | 8 | 25 | 21.1 | -11.6 | false | {"mass": "5", "acceleration": "7", "pressure": "-1", "voltage": "-8", "resistance": "4"} |
5 | acceleration,capacitance,mass,pressure,voltage | m·a·P_p·U·C_e | em,mechanics | m³·a³·P_p⁻¹·U⁻⁴·C_e⁻² | P_p = k₀ · m³·a³·U⁻⁴·C_e⁻² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "voltage": "-4", "capacitance": "-2"} |
5 | acceleration,efield,mass,pressure,voltage | m·a·P_p·U·E_f | em,mechanics | m·a·P_p⁻¹·U⁻²·E_f² | m = k₀ · a⁻¹·P_p·U²·E_f⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "voltage": "-2", "efield": "2"} |
5 | acceleration,bfield,mass,pressure,voltage | m·a·P_p·U·B | em,mechanics | m³·a⁵·P_p⁻³·U⁻⁴·B⁴ | m = k₀ · a⁻⁵ᐟ³·P_p·U⁴ᐟ³·B⁻⁴ᐟ³ | null | 0 | 2 | 5 | 19 | 15.4 | -5.9 | false | {"mass": "3", "acceleration": "5", "pressure": "-3", "voltage": "-4", "bfield": "4"} |
5 | acceleration,mag_flux,mass,pressure,voltage | m·a·P_p·U·Φ | em,mechanics | m·a⁻¹·P_p⁻¹·U⁴·Φ⁻⁴ | m = k₀ · a·P_p·U⁻⁴·Φ⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "voltage": "4", "mag_flux": "-4"} |
5 | acceleration,mass,permeability,pressure,voltage | m·a·P_p·U·μ₀ | em,mechanics | m³·a⁵·P_p⁻¹·U⁻⁴·μ₀² | P_p = k₀ · m³·a⁵·U⁻⁴·μ₀² | null | 0 | 2 | 5 | 15 | 12.6 | -3.1 | false | {"mass": "3", "acceleration": "5", "pressure": "-1", "voltage": "-4", "permeability": "2"} |
5 | acceleration,conductivity,mass,pressure,voltage | m·a·P_p·U·σ | em,mechanics | m³·a⁵·P_p·U⁻⁸·σ⁻⁴ | P_p = k₀ · m⁻³·a⁻⁵·U⁸·σ⁴ | null | 0 | 2 | 8 | 21 | 18.3 | -8.8 | false | {"mass": "3", "acceleration": "5", "pressure": "1", "voltage": "-8", "conductivity": "-4"} |
5 | acceleration,mass,pressure,resistivity,voltage | m·a·P_p·U·ρ_e | em,mechanics | m³·a⁵·P_p·U⁻⁸·ρ_e⁴ | P_p = k₀ · m⁻³·a⁻⁵·U⁸·ρ_e⁻⁴ | null | 0 | 2 | 8 | 21 | 18.3 | -8.8 | false | {"mass": "3", "acceleration": "5", "pressure": "1", "voltage": "-8", "resistivity": "4"} |
5 | acceleration,elem_charge,mass,pressure,voltage | m·a·P_p·U·e | constants,em,mechanics | m³·a³·P_p⁻¹·U⁻²·e⁻² | P_p = k₀ · m³·a³·U⁻²·e⁻² | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "voltage": "-2", "elem_charge": "-2"} |
5 | acceleration,capacitance,mass,pressure,resistance | m·a·P_p·R·C_e | em,mechanics | m·a⁻¹·P_p⁻¹·R⁻⁴·C_e⁻⁴ | m = k₀ · a·P_p·R⁴·C_e⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "resistance": "-4", "capacitance": "-4"} |
5 | acceleration,inductance,mass,pressure,resistance | m·a·P_p·R·L_e | em,mechanics | m·a⁻¹·P_p⁻¹·R⁴·L_e⁻⁴ | m = k₀ · a·P_p·R⁻⁴·L_e⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "-1", "pressure": "-1", "resistance": "4", "inductance": "-4"} |
5 | acceleration,efield,mass,pressure,resistance | m·a·P_p·R·E_f | em,mechanics | m·a³·P_p³·R⁴·E_f⁻⁸ | m = k₀ · a⁻³·P_p⁻³·R⁻⁴·E_f⁸ | null | 0 | 2 | 8 | 19 | 16.9 | -7.4 | false | {"mass": "1", "acceleration": "3", "pressure": "3", "resistance": "4", "efield": "-8"} |
5 | acceleration,bfield,mass,pressure,resistance | m·a·P_p·R·B | em,mechanics | m·a³·P_p⁻⁵·R⁻⁴·B⁸ | m = k₀ · a⁻³·P_p⁵·R⁴·B⁻⁸ | null | 0 | 2 | 8 | 21 | 18.3 | -8.8 | false | {"mass": "1", "acceleration": "3", "pressure": "-5", "resistance": "-4", "bfield": "8"} |
5 | acceleration,mag_flux,mass,pressure,resistance | m·a·P_p·R·Φ | em,mechanics | m⁷·a⁵·P_p⁻³·R⁴·Φ⁻⁸ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·R⁴ᐟ³·Φ⁻⁸ᐟ³ | null | 0 | 2 | 8 | 27 | 22.5 | -13 | false | {"mass": "7", "acceleration": "5", "pressure": "-3", "resistance": "4", "mag_flux": "-8"} |
5 | acceleration,mass,permittivity,pressure,resistance | m·a·P_p·R·ε | em,mechanics | m·a³·P_p⁻¹·R⁴·ε⁴ | m = k₀ · a⁻³·P_p·R⁻⁴·ε⁻⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "resistance": "4", "permittivity": "4"} |
5 | acceleration,mass,permeability,pressure,resistance | m·a·P_p·R·μ₀ | em,mechanics | m·a³·P_p⁻¹·R⁻⁴·μ₀⁴ | m = k₀ · a⁻³·P_p·R⁴·μ₀⁻⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "resistance": "-4", "permeability": "4"} |
5 | acceleration,conductivity,mass,pressure,resistance | m·a·P_p·R·σ | em,mechanics | m·a·P_p⁻¹·R²·σ² | m = k₀ · a⁻¹·P_p·R⁻²·σ⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "resistance": "2", "conductivity": "2"} |
5 | acceleration,mass,pressure,resistance,resistivity | m·a·P_p·R·ρ_e | em,mechanics | m·a·P_p⁻¹·R²·ρ_e⁻² | m = k₀ · a⁻¹·P_p·R⁻²·ρ_e² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "resistance": "2", "resistivity": "-2"} |
5 | acceleration,elem_charge,mass,pressure,resistance | m·a·P_p·R·e | constants,em,mechanics | m⁷·a⁵·P_p⁻³·R⁻⁴·e⁻⁸ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·R⁻⁴ᐟ³·e⁻⁸ᐟ³ | null | 1 | 3 | 8 | 27 | 23.1 | -14.1 | false | {"mass": "7", "acceleration": "5", "pressure": "-3", "resistance": "-4", "elem_charge": "-8"} |
5 | acceleration,capacitance,inductance,mass,pressure | m·a·P_p·C_e·L_e | em,mechanics | m·a⁻¹·P_p⁻¹·C_e⁻²·L_e⁻² | m = k₀ · a·P_p·C_e²·L_e² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "-1", "pressure": "-1", "capacitance": "-2", "inductance": "-2"} |
5 | acceleration,capacitance,efield,mass,pressure | m·a·P_p·C_e·E_f | em,mechanics | m·a·P_p·C_e⁻²·E_f⁻⁴ | m = k₀ · a⁻¹·P_p⁻¹·C_e²·E_f⁴ | null | 0 | 2 | 4 | 9 | 7.9 | 1.6 | false | {"mass": "1", "acceleration": "1", "pressure": "1", "capacitance": "-2", "efield": "-4"} |
5 | acceleration,capacitance,mag_flux,mass,pressure | m·a·P_p·C_e·Φ | em,mechanics | m²·a·P_p⁻¹·C_e⁻¹·Φ⁻² | a = k₀ · m⁻²·P_p·C_e·Φ² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "2", "acceleration": "1", "pressure": "-1", "capacitance": "-1", "mag_flux": "-2"} |
5 | acceleration,capacitance,mass,permittivity,pressure | m·a·P_p·C_e·ε | em,mechanics | m·a·P_p⁻¹·C_e⁻²·ε² | m = k₀ · a⁻¹·P_p·C_e²·ε⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "capacitance": "-2", "permittivity": "2"} |
5 | acceleration,capacitance,conductivity,mass,pressure | m·a·P_p·C_e·σ | em,mechanics | m³·a·P_p⁻³·C_e⁻⁴·σ⁴ | a = k₀ · m⁻³·P_p³·C_e⁴·σ⁻⁴ | null | 0 | 2 | 4 | 15 | 12.1 | -2.6 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "capacitance": "-4", "conductivity": "4"} |
5 | acceleration,capacitance,mass,pressure,resistivity | m·a·P_p·C_e·ρ_e | em,mechanics | m³·a·P_p⁻³·C_e⁻⁴·ρ_e⁻⁴ | a = k₀ · m⁻³·P_p³·C_e⁴·ρ_e⁴ | null | 0 | 2 | 4 | 15 | 12.1 | -2.6 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "capacitance": "-4", "resistivity": "-4"} |
5 | acceleration,capacitance,elem_charge,mass,pressure | m·a·P_p·C_e·e | constants,em,mechanics | m³·a³·P_p⁻¹·C_e²·e⁻⁴ | P_p = k₀ · m³·a³·C_e²·e⁻⁴ | null | 1 | 3 | 4 | 13 | 11.3 | -2.3 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "capacitance": "2", "elem_charge": "-4"} |
5 | acceleration,bfield,inductance,mass,pressure | m·a·P_p·L_e·B | em,mechanics | m·a·P_p⁻³·L_e⁻²·B⁴ | m = k₀ · a⁻¹·P_p³·L_e²·B⁻⁴ | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "1", "pressure": "-3", "inductance": "-2", "bfield": "4"} |
5 | acceleration,inductance,mag_flux,mass,pressure | m·a·P_p·L_e·Φ | em,mechanics | m³·a³·P_p⁻¹·L_e²·Φ⁻⁴ | P_p = k₀ · m³·a³·L_e²·Φ⁻⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "3", "acceleration": "3", "pressure": "-1", "inductance": "2", "mag_flux": "-4"} |
5 | acceleration,inductance,mass,permeability,pressure | m·a·P_p·L_e·μ₀ | em,mechanics | m·a·P_p⁻¹·L_e⁻²·μ₀² | m = k₀ · a⁻¹·P_p·L_e²·μ₀⁻² | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "inductance": "-2", "permeability": "2"} |
5 | acceleration,conductivity,inductance,mass,pressure | m·a·P_p·L_e·σ | em,mechanics | m·a³·P_p⁻¹·L_e⁴·σ⁴ | m = k₀ · a⁻³·P_p·L_e⁻⁴·σ⁻⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "inductance": "4", "conductivity": "4"} |
5 | acceleration,inductance,mass,pressure,resistivity | m·a·P_p·L_e·ρ_e | em,mechanics | m·a³·P_p⁻¹·L_e⁴·ρ_e⁻⁴ | m = k₀ · a⁻³·P_p·L_e⁻⁴·ρ_e⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "inductance": "4", "resistivity": "-4"} |
5 | acceleration,elem_charge,inductance,mass,pressure | m·a·P_p·L_e·e | constants,em,mechanics | m²·a·P_p⁻¹·L_e⁻¹·e⁻² | a = k₀ · m⁻²·P_p·L_e·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "2", "acceleration": "1", "pressure": "-1", "inductance": "-1", "elem_charge": "-2"} |
5 | acceleration,bfield,efield,mass,pressure | m·a·P_p·E_f·B | em,mechanics | m·a³·P_p⁻¹·E_f⁻⁴·B⁴ | m = k₀ · a⁻³·P_p·E_f⁴·B⁻⁴ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "3", "pressure": "-1", "efield": "-4", "bfield": "4"} |
5 | acceleration,efield,mag_flux,mass,pressure | m·a·P_p·E_f·Φ | em,mechanics | m³·a·P_p⁻³·E_f⁴·Φ⁻⁴ | a = k₀ · m⁻³·P_p³·E_f⁻⁴·Φ⁴ | null | 0 | 2 | 4 | 15 | 12.1 | -2.6 | false | {"mass": "3", "acceleration": "1", "pressure": "-3", "efield": "4", "mag_flux": "-4"} |
5 | acceleration,efield,mass,permeability,pressure | m·a·P_p·E_f·μ₀ | em,mechanics | m·a³·P_p·E_f⁻⁴·μ₀² | m = k₀ · a⁻³·P_p⁻¹·E_f⁴·μ₀⁻² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "1", "acceleration": "3", "pressure": "1", "efield": "-4", "permeability": "2"} |
5 | acceleration,conductivity,efield,mass,pressure | m·a·P_p·E_f·σ | em,mechanics | m·a⁻¹·P_p⁻⁵·E_f⁸·σ⁴ | m = k₀ · a·P_p⁵·E_f⁻⁸·σ⁻⁴ | null | 0 | 2 | 8 | 19 | 16.9 | -7.4 | false | {"mass": "1", "acceleration": "-1", "pressure": "-5", "efield": "8", "conductivity": "4"} |
5 | acceleration,efield,mass,pressure,resistivity | m·a·P_p·E_f·ρ_e | em,mechanics | m·a⁻¹·P_p⁻⁵·E_f⁸·ρ_e⁻⁴ | m = k₀ · a·P_p⁵·E_f⁻⁸·ρ_e⁴ | null | 0 | 2 | 8 | 19 | 16.9 | -7.4 | false | {"mass": "1", "acceleration": "-1", "pressure": "-5", "efield": "8", "resistivity": "-4"} |
5 | acceleration,bfield,mag_flux,mass,pressure | m·a·P_p·B·Φ | em,mechanics | m·a·P_p⁻¹·B·Φ⁻¹ | m = k₀ · a⁻¹·P_p·B⁻¹·Φ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "acceleration": "1", "pressure": "-1", "bfield": "1", "mag_flux": "-1"} |
5 | acceleration,bfield,mass,permittivity,pressure | m·a·P_p·B·ε | em,mechanics | m·a³·P_p⁻³·B⁴·ε² | m = k₀ · a⁻³·P_p³·B⁻⁴·ε⁻² | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "1", "acceleration": "3", "pressure": "-3", "bfield": "4", "permittivity": "2"} |
5 | acceleration,bfield,conductivity,mass,pressure | m·a·P_p·B·σ | em,mechanics | m³·a⁵·P_p⁻⁷·B⁸·σ⁴ | m = k₀ · a⁻⁵ᐟ³·P_p⁷ᐟ³·B⁻⁸ᐟ³·σ⁻⁴ᐟ³ | null | 0 | 2 | 8 | 27 | 22.5 | -13 | false | {"mass": "3", "acceleration": "5", "pressure": "-7", "bfield": "8", "conductivity": "4"} |
5 | acceleration,bfield,mass,pressure,resistivity | m·a·P_p·B·ρ_e | em,mechanics | m³·a⁵·P_p⁻⁷·B⁸·ρ_e⁻⁴ | m = k₀ · a⁻⁵ᐟ³·P_p⁷ᐟ³·B⁻⁸ᐟ³·ρ_e⁴ᐟ³ | null | 0 | 2 | 8 | 27 | 22.5 | -13 | false | {"mass": "3", "acceleration": "5", "pressure": "-7", "bfield": "8", "resistivity": "-4"} |
5 | acceleration,bfield,elem_charge,mass,pressure | m·a·P_p·B·e | constants,em,mechanics | m³·a·P_p·B⁻⁴·e⁻⁴ | a = k₀ · m⁻³·P_p⁻¹·B⁴·e⁴ | null | 1 | 3 | 4 | 13 | 11.3 | -2.3 | false | {"mass": "3", "acceleration": "1", "pressure": "1", "bfield": "-4", "elem_charge": "-4"} |
5 | acceleration,mag_flux,mass,permittivity,pressure | m·a·P_p·Φ·ε | em,mechanics | m³·a·P_p⁻¹·Φ⁻⁴·ε⁻² | a = k₀ · m⁻³·P_p·Φ⁴·ε² | null | 0 | 2 | 4 | 11 | 9.3 | 0.2 | false | {"mass": "3", "acceleration": "1", "pressure": "-1", "mag_flux": "-4", "permittivity": "-2"} |
5 | acceleration,mag_flux,mass,permeability,pressure | m·a·P_p·Φ·μ₀ | em,mechanics | m²·a²·P_p⁻¹·Φ⁻²·μ₀ | P_p = k₀ · m²·a²·Φ⁻²·μ₀ | null | 0 | 2 | 2 | 8 | 6.2 | 3.3 | true | {"mass": "2", "acceleration": "2", "pressure": "-1", "mag_flux": "-2", "permeability": "1"} |
5 | acceleration,conductivity,mag_flux,mass,pressure | m·a·P_p·Φ·σ | em,mechanics | m⁵·a³·P_p⁻¹·Φ⁻⁸·σ⁻⁴ | P_p = k₀ · m⁵·a³·Φ⁻⁸·σ⁻⁴ | null | 0 | 2 | 8 | 21 | 18.3 | -8.8 | false | {"mass": "5", "acceleration": "3", "pressure": "-1", "mag_flux": "-8", "conductivity": "-4"} |
5 | acceleration,mag_flux,mass,pressure,resistivity | m·a·P_p·Φ·ρ_e | em,mechanics | m⁵·a³·P_p⁻¹·Φ⁻⁸·ρ_e⁴ | P_p = k₀ · m⁵·a³·Φ⁻⁸·ρ_e⁴ | null | 0 | 2 | 8 | 21 | 18.3 | -8.8 | false | {"mass": "5", "acceleration": "3", "pressure": "-1", "mag_flux": "-8", "resistivity": "4"} |
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