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,ang_momentum,mass,permittivity,resistivity | m·a·Lₐ·ε·ρ_e | em,mechanics | m·a²·Lₐ⁻¹·ε³·ρ_e³ | m = k₀ · a⁻²·Lₐ·ε⁻³·ρ_e⁻³ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "-1", "permittivity": "3", "resistivity": "3"} |
5 | acceleration,ang_momentum,elem_charge,mass,permittivity | m·a·Lₐ·ε·e | constants,em,mechanics | m·a⁻¹·Lₐ⁻⁴·ε⁻³·e⁶ | m = k₀ · a·Lₐ⁴·ε³·e⁻⁶ | null | 1 | 3 | 6 | 15 | 13.7 | -4.7 | false | {"mass": "1", "acceleration": "-1", "ang_momentum": "-4", "permittivity": "-3", "elem_charge": "6"} |
5 | acceleration,ang_momentum,elem_charge,mass,permeability | m·a·Lₐ·μ₀·e | constants,em,mechanics | m·a⁻¹·Lₐ²·μ₀⁻³·e⁻⁶ | m = k₀ · a·Lₐ⁻²·μ₀³·e⁶ | null | 1 | 3 | 6 | 13 | 12.3 | -3.3 | false | {"mass": "1", "acceleration": "-1", "ang_momentum": "2", "permeability": "-3", "elem_charge": "-6"} |
5 | acceleration,ang_momentum,conductivity,elem_charge,mass | m·a·Lₐ·σ·e | constants,em,mechanics | m²·a·Lₐ⁻⁵·σ⁻³·e⁶ | a = k₀ · m⁻²·Lₐ⁵·σ³·e⁻⁶ | null | 1 | 3 | 6 | 17 | 15.1 | -6.1 | false | {"mass": "2", "acceleration": "1", "ang_momentum": "-5", "conductivity": "-3", "elem_charge": "6"} |
5 | acceleration,ang_momentum,elem_charge,mass,resistivity | m·a·Lₐ·ρ_e·e | constants,em,mechanics | m²·a·Lₐ⁻⁵·ρ_e³·e⁶ | a = k₀ · m⁻²·Lₐ⁵·ρ_e⁻³·e⁻⁶ | null | 1 | 3 | 6 | 17 | 15.1 | -6.1 | false | {"mass": "2", "acceleration": "1", "ang_momentum": "-5", "resistivity": "3", "elem_charge": "6"} |
5 | acceleration,amount,ang_momentum,concentration,mass | m·a·Lₐ·n·c_n | chemistry,mechanics | m²·a·Lₐ⁻²·n·c_n⁻¹ | a = k₀ · m⁻²·Lₐ²·n⁻¹·c_n | null | 0 | 2 | 2 | 7 | 5.5 | 4 | true | {"mass": "2", "acceleration": "1", "ang_momentum": "-2", "amount": "1", "concentration": "-1"} |
5 | acceleration,amount,ang_momentum,mass,molar_energy | m·a·Lₐ·n·E_m | chemistry,mechanics | m·a²·Lₐ²·n⁻³·E_m⁻³ | m = k₀ · a⁻²·Lₐ⁻²·n³·E_m³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "2", "amount": "-3", "molar_energy": "-3"} |
5 | acceleration,amount,ang_momentum,cat_activity,mass | m·a·Lₐ·n·z | chemistry,mechanics | m·a²·Lₐ⁻¹·n³·z⁻³ | m = k₀ · a⁻²·Lₐ·n⁻³·z³ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "-1", "amount": "3", "cat_activity": "-3"} |
5 | acceleration,ang_momentum,concentration,mass,molar_mass | m·a·Lₐ·M_m·c_n | chemistry,mechanics | m³·a·Lₐ⁻²·M_m⁻¹·c_n⁻¹ | a = k₀ · m⁻³·Lₐ²·M_m·c_n | null | 0 | 2 | 3 | 8 | 6.7 | 2.8 | true | {"mass": "3", "acceleration": "1", "ang_momentum": "-2", "molar_mass": "-1", "concentration": "-1"} |
5 | acceleration,ang_momentum,mass,molar_energy,molar_mass | m·a·Lₐ·M_m·E_m | chemistry,mechanics | m²·a⁻²·Lₐ⁻²·M_m⁻³·E_m³ | m = k₀ · a·Lₐ·M_m³ᐟ²·E_m⁻³ᐟ² | null | 0 | 2 | 3 | 12 | 9.5 | 0 | false | {"mass": "2", "acceleration": "-2", "ang_momentum": "-2", "molar_mass": "-3", "molar_energy": "3"} |
5 | acceleration,ang_momentum,cat_activity,mass,molar_mass | m·a·Lₐ·M_m·z | chemistry,mechanics | m⁴·a²·Lₐ⁻¹·M_m⁻³·z⁻³ | Lₐ = k₀ · m⁴·a²·M_m⁻³·z⁻³ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "4", "acceleration": "2", "ang_momentum": "-1", "molar_mass": "-3", "cat_activity": "-3"} |
5 | acceleration,ang_momentum,concentration,mass,molar_energy | m·a·Lₐ·c_n·E_m | chemistry,mechanics | m⁷·a⁵·Lₐ⁻⁴·c_n⁻³·E_m⁻³ | c_n = k₀ · m⁷ᐟ³·a⁵ᐟ³·Lₐ⁻⁴ᐟ³·E_m⁻¹ | null | 0 | 2 | 7 | 22 | 18.5 | -9 | false | {"mass": "7", "acceleration": "5", "ang_momentum": "-4", "concentration": "-3", "molar_energy": "-3"} |
6 | acceleration,ang_momentum,boltzmann,concentration,gas_constant,mass | m·a·Lₐ·c_n·R·k_B | chemistry,constants,mechanics | m²·a·Lₐ⁻²·c_n⁻¹·R⁻¹·k_B | a = k₀ · m⁻²·Lₐ²·c_n·R·k_B⁻¹ | null | 1 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "2", "acceleration": "1", "ang_momentum": "-2", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"} |
5 | acceleration,ang_momentum,cat_activity,concentration,mass | m·a·Lₐ·c_n·z | chemistry,mechanics | m⁵·a·Lₐ⁻⁵·c_n⁻³·z³ | a = k₀ · m⁻⁵·Lₐ⁵·c_n³·z⁻³ | null | 0 | 2 | 5 | 17 | 14 | -4.5 | false | {"mass": "5", "acceleration": "1", "ang_momentum": "-5", "concentration": "-3", "cat_activity": "3"} |
5 | acceleration,ang_momentum,avogadro,concentration,mass | m·a·Lₐ·c_n·N_A | chemistry,constants,mechanics | m²·a·Lₐ⁻²·c_n⁻¹·N_A⁻¹ | a = k₀ · m⁻²·Lₐ²·c_n·N_A | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "2", "acceleration": "1", "ang_momentum": "-2", "concentration": "-1", "avogadro": "-1"} |
6 | acceleration,ang_momentum,boltzmann,gas_constant,mass,molar_energy | m·a·Lₐ·E_m·R·k_B | chemistry,constants,mechanics | m·a²·Lₐ²·E_m⁻³·R³·k_B⁻³ | m = k₀ · a⁻²·Lₐ⁻²·E_m³·R⁻³·k_B³ | null | 1 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"} |
5 | acceleration,ang_momentum,cat_activity,mass,molar_energy | m·a·Lₐ·E_m·z | chemistry,mechanics | m²·a⁴·Lₐ·E_m⁻³·z⁻³ | Lₐ = k₀ · m⁻²·a⁻⁴·E_m³·z³ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "2", "acceleration": "4", "ang_momentum": "1", "molar_energy": "-3", "cat_activity": "-3"} |
5 | acceleration,ang_momentum,avogadro,mass,molar_energy | m·a·Lₐ·E_m·N_A | chemistry,constants,mechanics | m·a²·Lₐ²·E_m⁻³·N_A³ | m = k₀ · a⁻²·Lₐ⁻²·E_m³·N_A⁻³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "2", "molar_energy": "-3", "avogadro": "3"} |
6 | acceleration,ang_momentum,boltzmann,cat_activity,gas_constant,mass | m·a·Lₐ·R·z·k_B | chemistry,constants,mechanics | m·a²·Lₐ⁻¹·R⁻³·z⁻³·k_B³ | m = k₀ · a⁻²·Lₐ·R³·z³·k_B⁻³ | null | 1 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "-1", "gas_constant": "-3", "cat_activity": "-3", "boltzmann": "3"} |
5 | acceleration,ang_momentum,avogadro,cat_activity,mass | m·a·Lₐ·z·N_A | chemistry,constants,mechanics | m·a²·Lₐ⁻¹·z⁻³·N_A⁻³ | m = k₀ · a⁻²·Lₐ·z³·N_A³ | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "acceleration": "2", "ang_momentum": "-1", "cat_activity": "-3", "avogadro": "-3"} |
5 | acceleration,ang_momentum,illuminance,lum_intensity,mass | m·a·Lₐ·I_v·E_v | mechanics,photometry | m⁴·a²·Lₐ⁻⁴·I_v³·E_v⁻³ | a = k₀ · m⁻²·Lₐ²·I_v⁻³ᐟ²·E_v³ᐟ² | null | 0 | 2 | 4 | 16 | 12.8 | -3.3 | false | {"mass": "4", "acceleration": "2", "ang_momentum": "-4", "lum_intensity": "3", "illuminance": "-3"} |
5 | acceleration,ang_momentum,lum_intensity,luminance,mass | m·a·Lₐ·I_v·L_v | mechanics,photometry | m⁴·a²·Lₐ⁻⁴·I_v³·L_v⁻³ | a = k₀ · m⁻²·Lₐ²·I_v⁻³ᐟ²·L_v³ᐟ² | null | 0 | 2 | 4 | 16 | 12.8 | -3.3 | false | {"mass": "4", "acceleration": "2", "ang_momentum": "-4", "lum_intensity": "3", "luminance": "-3"} |
4 | acceleration,ang_momentum,light_speed,mass | m·a·Lₐ·c₀ | constants,mechanics | m·a⁻¹·Lₐ⁻¹·c₀³ | m = k₀ · a·Lₐ·c₀⁻³ | null | 1 | 2 | 3 | 6 | 5 | 4.5 | true | {"mass": "1", "acceleration": "-1", "ang_momentum": "-1", "light_speed": "3"} |
4 | acceleration,ang_momentum,grav_const,mass | m·a·Lₐ·G | constants,mechanics | m⁷·a⁻¹·Lₐ⁻⁴·G³ | a = k₀ · m⁷·Lₐ⁻⁴·G³ | null | 1 | 2 | 7 | 15 | 13.3 | -3.8 | false | {"mass": "7", "acceleration": "-1", "ang_momentum": "-4", "grav_const": "3"} |
4 | acceleration,action,inertia,mass | m·a·S·J | mechanics | m·a²·S⁻⁴·J³ | m = k₀ · a⁻²·S⁴·J⁻³ | null | 0 | 1 | 4 | 10 | 7.7 | 2.3 | false | {"mass": "1", "acceleration": "2", "action": "-4", "inertia": "3"} |
4 | acceleration,action,mass,pressure | m·a·S·P_p | mechanics | m⁷·a⁵·S⁻⁴·P_p⁻³ | P_p = k₀ · m⁷ᐟ³·a⁵ᐟ³·S⁻⁴ᐟ³ | null | 0 | 1 | 7 | 19 | 15.5 | -5.5 | false | {"mass": "7", "acceleration": "5", "action": "-4", "pressure": "-3"} |
4 | acceleration,action,density,mass | m·a·S·ρ | mechanics | m³·a·S⁻²·ρ⁻¹ | a = k₀ · m⁻³·S²·ρ | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "3", "acceleration": "1", "action": "-2", "density": "-1"} |
4 | acceleration,action,mass,viscosity | m·a·S·μ | mechanics | m²·a·S⁻¹·μ⁻¹ | a = k₀ · m⁻²·S·μ | null | 0 | 1 | 2 | 5 | 3.2 | 6.8 | true | {"mass": "2", "acceleration": "1", "action": "-1", "viscosity": "-1"} |
4 | acceleration,action,mass,omega | m·a·S·ω | mechanics | m·a²·S⁻¹·ω⁻³ | m = k₀ · a⁻²·S·ω³ | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "acceleration": "2", "action": "-1", "omega": "-3"} |
4 | acceleration,action,frequency,mass | m·a·S·f | mechanics | m·a²·S⁻¹·f⁻³ | m = k₀ · a⁻²·S·f³ | null | 0 | 1 | 3 | 7 | 5.1 | 4.9 | true | {"mass": "1", "acceleration": "2", "action": "-1", "frequency": "-3"} |
4 | acceleration,action,mass,stiffness | m·a·S·k | mechanics | m⁵·a⁴·S⁻²·k⁻³ | S = k₀ · m⁵ᐟ²·a²·k⁻³ᐟ² | null | 0 | 1 | 5 | 14 | 11 | -1 | false | {"mass": "5", "acceleration": "4", "action": "-2", "stiffness": "-3"} |
4 | acceleration,action,mass,surf_tension | m·a·S·γ | mechanics | m⁵·a⁴·S⁻²·γ⁻³ | S = k₀ · m⁵ᐟ²·a²·γ⁻³ᐟ² | null | 0 | 1 | 5 | 14 | 11 | -1 | false | {"mass": "5", "acceleration": "4", "action": "-2", "surf_tension": "-3"} |
4 | acceleration,action,area,mass | m·a·S·A | mechanics | m⁴·a²·S⁻⁴·A³ | a = k₀ · m⁻²·S²·A⁻³ᐟ² | null | 0 | 1 | 4 | 13 | 9.8 | 0.2 | false | {"mass": "4", "acceleration": "2", "action": "-4", "area": "3"} |
4 | acceleration,action,mass,volume | m·a·S·V | mechanics | m²·a·S⁻²·V | a = k₀ · m⁻²·S²·V⁻¹ | null | 0 | 1 | 2 | 6 | 3.9 | 6.1 | true | {"mass": "2", "acceleration": "1", "action": "-2", "volume": "1"} |
4 | acceleration,action,flowrate,mass | m·a·S·Q | mechanics | m⁵·a·S⁻⁵·Q³ | a = k₀ · m⁻⁵·S⁵·Q⁻³ | null | 0 | 1 | 5 | 14 | 11 | -1 | false | {"mass": "5", "acceleration": "1", "action": "-5", "flowrate": "3"} |
5 | acceleration,action,entropy,mass,temperature | m·a·S·Θ·S_e | mechanics,thermo | m·a²·S²·Θ⁻³·S_e⁻³ | m = k₀ · a⁻²·S⁻²·Θ³·S_e³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "action": "2", "temperature": "-3", "entropy": "-3"} |
5 | acceleration,action,heat_capacity,mass,temperature | m·a·S·Θ·C | mechanics,thermo | m·a²·S²·Θ⁻³·C⁻³ | m = k₀ · a⁻²·S⁻²·Θ³·C³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "action": "2", "temperature": "-3", "heat_capacity": "-3"} |
5 | acceleration,action,mass,specific_heat,temperature | m·a·S·Θ·c | mechanics,thermo | m²·a⁻²·S⁻²·Θ³·c³ | m = k₀ · a·S·Θ⁻³ᐟ²·c⁻³ᐟ² | null | 0 | 2 | 3 | 12 | 9.5 | 0 | false | {"mass": "2", "acceleration": "-2", "action": "-2", "temperature": "3", "specific_heat": "3"} |
5 | acceleration,action,mass,temperature,thermal_cond | m·a·S·Θ·κ | mechanics,thermo | m⁴·a⁵·S⁻¹·Θ⁻³·κ⁻³ | S = k₀ · m⁴·a⁵·Θ⁻³·κ⁻³ | null | 0 | 2 | 5 | 16 | 13.3 | -3.8 | false | {"mass": "4", "acceleration": "5", "action": "-1", "temperature": "-3", "thermal_cond": "-3"} |
6 | acceleration,action,amount,gas_constant,mass,temperature | m·a·S·Θ·n·R | chemistry,mechanics,thermo | m·a²·S²·Θ⁻³·n⁻³·R⁻³ | m = k₀ · a⁻²·S⁻²·Θ³·n³·R³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "2", "action": "2", "temperature": "-3", "amount": "-3", "gas_constant": "-3"} |
6 | acceleration,action,gas_constant,mass,molar_mass,temperature | m·a·S·Θ·M_m·R | chemistry,mechanics,thermo | m²·a⁻²·S⁻²·Θ³·M_m⁻³·R³ | m = k₀ · a·S·Θ⁻³ᐟ²·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "2", "acceleration": "-2", "action": "-2", "temperature": "3", "molar_mass": "-3", "gas_constant": "3"} |
6 | acceleration,action,concentration,gas_constant,mass,temperature | m·a·S·Θ·c_n·R | chemistry,mechanics,thermo | m⁷·a⁵·S⁻⁴·Θ⁻³·c_n⁻³·R⁻³ | Θ = k₀ · m⁷ᐟ³·a⁵ᐟ³·S⁻⁴ᐟ³·c_n⁻¹·R⁻¹ | null | 0 | 3 | 7 | 25 | 21.5 | -12.5 | false | {"mass": "7", "acceleration": "5", "action": "-4", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"} |
6 | acceleration,action,cat_activity,gas_constant,mass,temperature | m·a·S·Θ·R·z | chemistry,mechanics,thermo | m²·a⁴·S·Θ⁻³·R⁻³·z⁻³ | S = k₀ · m⁻²·a⁻⁴·Θ³·R³·z³ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "acceleration": "4", "action": "1", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"} |
6 | acceleration,action,avogadro,gas_constant,mass,temperature | m·a·S·Θ·R·N_A | chemistry,constants,mechanics,thermo | m·a²·S²·Θ⁻³·R⁻³·N_A³ | m = k₀ · a⁻²·S⁻²·Θ³·R³·N_A⁻³ | null | 1 | 4 | 3 | 14 | 12.4 | -3.9 | false | {"mass": "1", "acceleration": "2", "action": "2", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"} |
5 | acceleration,action,boltzmann,mass,temperature | m·a·S·Θ·k_B | constants,mechanics,thermo | m·a²·S²·Θ⁻³·k_B⁻³ | m = k₀ · a⁻²·S⁻²·Θ³·k_B³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "1", "acceleration": "2", "action": "2", "temperature": "-3", "boltzmann": "-3"} |
5 | acceleration,action,entropy,mass,thermal_cond | m·a·S·S_e·κ | mechanics,thermo | m·a·S⁻¹·S_e·κ⁻¹ | m = k₀ · a⁻¹·S·S_e⁻¹·κ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "acceleration": "1", "action": "-1", "entropy": "1", "thermal_cond": "-1"} |
5 | acceleration,action,entropy,expansion,mass | m·a·S·S_e·β | mechanics,thermo | m·a²·S²·S_e⁻³·β³ | m = k₀ · a⁻²·S⁻²·S_e³·β⁻³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "action": "2", "entropy": "-3", "expansion": "3"} |
6 | acceleration,action,concentration,entropy,gas_constant,mass | m·a·S·S_e·c_n·R | chemistry,mechanics,thermo | m²·a·S⁻²·S_e·c_n⁻¹·R⁻¹ | a = k₀ · m⁻²·S²·S_e⁻¹·c_n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "2", "acceleration": "1", "action": "-2", "entropy": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,action,entropy,gas_constant,mass,molar_energy | m·a·S·S_e·E_m·R | chemistry,mechanics,thermo | m·a²·S²·S_e⁻³·E_m⁻³·R³ | m = k₀ · a⁻²·S⁻²·S_e³·E_m³·R⁻³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "2", "action": "2", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"} |
6 | acceleration,action,cat_activity,entropy,gas_constant,mass | m·a·S·S_e·R·z | chemistry,mechanics,thermo | m·a²·S⁻¹·S_e³·R⁻³·z⁻³ | m = k₀ · a⁻²·S·S_e⁻³·R³·z³ | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "acceleration": "2", "action": "-1", "entropy": "3", "gas_constant": "-3", "cat_activity": "-3"} |
5 | acceleration,action,heat_capacity,mass,thermal_cond | m·a·S·C·κ | mechanics,thermo | m·a·S⁻¹·C·κ⁻¹ | m = k₀ · a⁻¹·S·C⁻¹·κ | null | 0 | 2 | 1 | 5 | 3.6 | 5.9 | true | {"mass": "1", "acceleration": "1", "action": "-1", "heat_capacity": "1", "thermal_cond": "-1"} |
5 | acceleration,action,expansion,heat_capacity,mass | m·a·S·C·β | mechanics,thermo | m·a²·S²·C⁻³·β³ | m = k₀ · a⁻²·S⁻²·C³·β⁻³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "action": "2", "heat_capacity": "-3", "expansion": "3"} |
6 | acceleration,action,concentration,gas_constant,heat_capacity,mass | m·a·S·C·c_n·R | chemistry,mechanics,thermo | m²·a·S⁻²·C·c_n⁻¹·R⁻¹ | a = k₀ · m⁻²·S²·C⁻¹·c_n·R | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "2", "acceleration": "1", "action": "-2", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,action,gas_constant,heat_capacity,mass,molar_energy | m·a·S·C·E_m·R | chemistry,mechanics,thermo | m·a²·S²·C⁻³·E_m⁻³·R³ | m = k₀ · a⁻²·S⁻²·C³·E_m³·R⁻³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "2", "action": "2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"} |
6 | acceleration,action,cat_activity,gas_constant,heat_capacity,mass | m·a·S·C·R·z | chemistry,mechanics,thermo | m·a²·S⁻¹·C³·R⁻³·z⁻³ | m = k₀ · a⁻²·S·C⁻³·R³·z³ | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "1", "acceleration": "2", "action": "-1", "heat_capacity": "3", "gas_constant": "-3", "cat_activity": "-3"} |
5 | acceleration,action,mass,specific_heat,thermal_cond | m·a·S·c·κ | mechanics,thermo | m²·a·S⁻¹·c·κ⁻¹ | a = k₀ · m⁻²·S·c⁻¹·κ | null | 0 | 2 | 2 | 6 | 4.8 | 4.7 | true | {"mass": "2", "acceleration": "1", "action": "-1", "specific_heat": "1", "thermal_cond": "-1"} |
5 | acceleration,action,expansion,mass,specific_heat | m·a·S·c·β | mechanics,thermo | m²·a⁻²·S⁻²·c³·β⁻³ | m = k₀ · a·S·c⁻³ᐟ²·β³ᐟ² | null | 0 | 2 | 3 | 12 | 9.5 | 0 | false | {"mass": "2", "acceleration": "-2", "action": "-2", "specific_heat": "3", "expansion": "-3"} |
6 | acceleration,action,concentration,gas_constant,mass,specific_heat | m·a·S·c·c_n·R | chemistry,mechanics,thermo | m³·a·S⁻²·c·c_n⁻¹·R⁻¹ | a = k₀ · m⁻³·S²·c⁻¹·c_n·R | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "3", "acceleration": "1", "action": "-2", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"} |
6 | acceleration,action,gas_constant,mass,molar_energy,specific_heat | m·a·S·c·E_m·R | chemistry,mechanics,thermo | m²·a⁻²·S⁻²·c³·E_m³·R⁻³ | m = k₀ · a·S·c⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ² | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "2", "acceleration": "-2", "action": "-2", "specific_heat": "3", "molar_energy": "3", "gas_constant": "-3"} |
6 | acceleration,action,cat_activity,gas_constant,mass,specific_heat | m·a·S·c·R·z | chemistry,mechanics,thermo | m⁴·a²·S⁻¹·c³·R⁻³·z⁻³ | S = k₀ · m⁴·a²·c³·R⁻³·z⁻³ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "4", "acceleration": "2", "action": "-1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"} |
5 | acceleration,action,expansion,mass,thermal_cond | m·a·S·κ·β | mechanics,thermo | m⁴·a⁵·S⁻¹·κ⁻³·β³ | S = k₀ · m⁴·a⁵·κ⁻³·β³ | null | 0 | 2 | 5 | 16 | 13.3 | -3.8 | false | {"mass": "4", "acceleration": "5", "action": "-1", "thermal_cond": "-3", "expansion": "3"} |
6 | acceleration,action,amount,gas_constant,mass,thermal_cond | m·a·S·κ·n·R | chemistry,mechanics,thermo | m·a·S⁻¹·κ⁻¹·n·R | m = k₀ · a⁻¹·S·κ·n⁻¹·R⁻¹ | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "acceleration": "1", "action": "-1", "thermal_cond": "-1", "amount": "1", "gas_constant": "1"} |
6 | acceleration,action,gas_constant,mass,molar_mass,thermal_cond | m·a·S·κ·M_m·R | chemistry,mechanics,thermo | m²·a·S⁻¹·κ⁻¹·M_m⁻¹·R | a = k₀ · m⁻²·S·κ·M_m·R⁻¹ | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "2", "acceleration": "1", "action": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"} |
6 | acceleration,action,gas_constant,mass,molar_energy,thermal_cond | m·a·S·κ·E_m·R | chemistry,mechanics,thermo | m⁴·a⁵·S⁻¹·κ⁻³·E_m⁻³·R³ | S = k₀ · m⁴·a⁵·κ⁻³·E_m⁻³·R³ | null | 0 | 3 | 5 | 19 | 16.3 | -7.3 | false | {"mass": "4", "acceleration": "5", "action": "-1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"} |
6 | acceleration,action,cat_activity,gas_constant,mass,thermal_cond | m·a·S·κ·R·z | chemistry,mechanics,thermo | m²·a·S⁻²·κ⁻³·R³·z³ | a = k₀ · m⁻²·S²·κ³·R⁻³·z⁻³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "2", "acceleration": "1", "action": "-2", "thermal_cond": "-3", "gas_constant": "3", "cat_activity": "3"} |
6 | acceleration,action,avogadro,gas_constant,mass,thermal_cond | m·a·S·κ·R·N_A | chemistry,constants,mechanics,thermo | m·a·S⁻¹·κ⁻¹·R·N_A⁻¹ | m = k₀ · a⁻¹·S·κ·R⁻¹·N_A | null | 1 | 4 | 1 | 6 | 5.8 | 2.7 | false | {"mass": "1", "acceleration": "1", "action": "-1", "thermal_cond": "-1", "gas_constant": "1", "avogadro": "-1"} |
5 | acceleration,action,boltzmann,mass,thermal_cond | m·a·S·κ·k_B | constants,mechanics,thermo | m·a·S⁻¹·κ⁻¹·k_B | m = k₀ · a⁻¹·S·κ·k_B⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "acceleration": "1", "action": "-1", "thermal_cond": "-1", "boltzmann": "1"} |
6 | acceleration,action,amount,expansion,gas_constant,mass | m·a·S·β·n·R | chemistry,mechanics,thermo | m·a²·S²·β³·n⁻³·R⁻³ | m = k₀ · a⁻²·S⁻²·β⁻³·n³·R³ | null | 0 | 3 | 3 | 14 | 11.8 | -2.8 | false | {"mass": "1", "acceleration": "2", "action": "2", "expansion": "3", "amount": "-3", "gas_constant": "-3"} |
6 | acceleration,action,expansion,gas_constant,mass,molar_mass | m·a·S·β·M_m·R | chemistry,mechanics,thermo | m²·a⁻²·S⁻²·β⁻³·M_m⁻³·R³ | m = k₀ · a·S·β³ᐟ²·M_m³ᐟ²·R⁻³ᐟ² | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "2", "acceleration": "-2", "action": "-2", "expansion": "-3", "molar_mass": "-3", "gas_constant": "3"} |
6 | acceleration,action,concentration,expansion,gas_constant,mass | m·a·S·β·c_n·R | chemistry,mechanics,thermo | m⁷·a⁵·S⁻⁴·β³·c_n⁻³·R⁻³ | β = k₀ · m⁻⁷ᐟ³·a⁻⁵ᐟ³·S⁴ᐟ³·c_n·R | null | 0 | 3 | 7 | 25 | 21.5 | -12.5 | false | {"mass": "7", "acceleration": "5", "action": "-4", "expansion": "3", "concentration": "-3", "gas_constant": "-3"} |
6 | acceleration,action,cat_activity,expansion,gas_constant,mass | m·a·S·β·R·z | chemistry,mechanics,thermo | m²·a⁴·S·β³·R⁻³·z⁻³ | S = k₀ · m⁻²·a⁻⁴·β⁻³·R³·z³ | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "acceleration": "4", "action": "1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"} |
6 | acceleration,action,avogadro,expansion,gas_constant,mass | m·a·S·β·R·N_A | chemistry,constants,mechanics,thermo | m·a²·S²·β³·R⁻³·N_A³ | m = k₀ · a⁻²·S⁻²·β⁻³·R³·N_A⁻³ | null | 1 | 4 | 3 | 14 | 12.4 | -3.9 | false | {"mass": "1", "acceleration": "2", "action": "2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"} |
5 | acceleration,action,boltzmann,expansion,mass | m·a·S·β·k_B | constants,mechanics,thermo | m·a²·S²·β³·k_B⁻³ | m = k₀ · a⁻²·S⁻²·β⁻³·k_B³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "1", "acceleration": "2", "action": "2", "expansion": "3", "boltzmann": "-3"} |
5 | acceleration,action,charge,current,mass | m·a·S·q·i | em,mechanics | m·a²·S⁻¹·q³·i⁻³ | m = k₀ · a⁻²·S·q⁻³·i³ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "acceleration": "2", "action": "-1", "charge": "3", "current": "-3"} |
5 | acceleration,action,charge,mass,voltage | m·a·S·q·U | em,mechanics | m·a²·S²·q⁻³·U⁻³ | m = k₀ · a⁻²·S⁻²·q³·U³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "action": "2", "charge": "-3", "voltage": "-3"} |
5 | acceleration,action,capacitance,charge,mass | m·a·S·q·C_e | em,mechanics | m·a²·S²·q⁻⁶·C_e³ | m = k₀ · a⁻²·S⁻²·q⁶·C_e⁻³ | null | 0 | 2 | 6 | 14 | 12.4 | -2.9 | false | {"mass": "1", "acceleration": "2", "action": "2", "charge": "-6", "capacitance": "3"} |
5 | acceleration,action,charge,inductance,mass | m·a·S·q·L_e | em,mechanics | m·a²·S⁻⁴·q⁶·L_e³ | m = k₀ · a⁻²·S⁴·q⁻⁶·L_e⁻³ | null | 0 | 2 | 6 | 16 | 13.8 | -4.3 | false | {"mass": "1", "acceleration": "2", "action": "-4", "charge": "6", "inductance": "3"} |
5 | acceleration,action,bfield,charge,mass | m·a·S·q·B | em,mechanics | m⁴·a²·S⁻¹·q⁻³·B⁻³ | S = k₀ · m⁴·a²·q⁻³·B⁻³ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "4", "acceleration": "2", "action": "-1", "charge": "-3", "bfield": "-3"} |
5 | acceleration,action,charge,mass,permittivity | m·a·S·q·ε | em,mechanics | m·a⁻¹·S⁻⁴·q⁶·ε⁻³ | m = k₀ · a·S⁴·q⁻⁶·ε³ | null | 0 | 2 | 6 | 15 | 13.1 | -3.6 | false | {"mass": "1", "acceleration": "-1", "action": "-4", "charge": "6", "permittivity": "-3"} |
5 | acceleration,action,charge,mass,permeability | m·a·S·q·μ₀ | em,mechanics | m·a⁻¹·S²·q⁻⁶·μ₀⁻³ | m = k₀ · a·S⁻²·q⁶·μ₀³ | null | 0 | 2 | 6 | 13 | 11.7 | -2.2 | false | {"mass": "1", "acceleration": "-1", "action": "2", "charge": "-6", "permeability": "-3"} |
5 | acceleration,action,charge,conductivity,mass | m·a·S·q·σ | em,mechanics | m²·a·S⁻⁵·q⁶·σ⁻³ | a = k₀ · m⁻²·S⁵·q⁻⁶·σ³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "2", "acceleration": "1", "action": "-5", "charge": "6", "conductivity": "-3"} |
5 | acceleration,action,charge,mass,resistivity | m·a·S·q·ρ_e | em,mechanics | m²·a·S⁻⁵·q⁶·ρ_e³ | a = k₀ · m⁻²·S⁵·q⁻⁶·ρ_e⁻³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "2", "acceleration": "1", "action": "-5", "charge": "6", "resistivity": "3"} |
5 | acceleration,action,current,mass,voltage | m·a·S·i·U | em,mechanics | m²·a⁴·S·i⁻³·U⁻³ | S = k₀ · m⁻²·a⁻⁴·i³·U³ | null | 0 | 2 | 4 | 13 | 10.7 | -1.2 | false | {"mass": "2", "acceleration": "4", "action": "1", "current": "-3", "voltage": "-3"} |
5 | acceleration,action,current,mass,resistance | m·a·S·i·R | em,mechanics | m²·a⁴·S·i⁻⁶·R⁻³ | S = k₀ · m⁻²·a⁻⁴·i⁶·R³ | null | 0 | 2 | 6 | 16 | 13.8 | -4.3 | false | {"mass": "2", "acceleration": "4", "action": "1", "current": "-6", "resistance": "-3"} |
5 | acceleration,action,current,inductance,mass | m·a·S·i·L_e | em,mechanics | m·a²·S²·i⁻⁶·L_e⁻³ | m = k₀ · a⁻²·S⁻²·i⁶·L_e³ | null | 0 | 2 | 6 | 14 | 12.4 | -2.9 | false | {"mass": "1", "acceleration": "2", "action": "2", "current": "-6", "inductance": "-3"} |
5 | acceleration,action,current,efield,mass | m·a·S·i·E_f | em,mechanics | m⁴·a⁵·S⁻¹·i⁻³·E_f⁻³ | S = k₀ · m⁴·a⁵·i⁻³·E_f⁻³ | null | 0 | 2 | 5 | 16 | 13.3 | -3.8 | false | {"mass": "4", "acceleration": "5", "action": "-1", "current": "-3", "efield": "-3"} |
5 | acceleration,action,bfield,current,mass | m·a·S·i·B | em,mechanics | m⁵·a⁴·S⁻²·i⁻³·B⁻³ | S = k₀ · m⁵ᐟ²·a²·i⁻³ᐟ²·B⁻³ᐟ² | null | 0 | 2 | 5 | 17 | 14 | -4.5 | false | {"mass": "5", "acceleration": "4", "action": "-2", "current": "-3", "bfield": "-3"} |
5 | acceleration,action,current,mag_flux,mass | m·a·S·i·Φ | em,mechanics | m·a²·S²·i⁻³·Φ⁻³ | m = k₀ · a⁻²·S⁻²·i³·Φ³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "1", "acceleration": "2", "action": "2", "current": "-3", "mag_flux": "-3"} |
5 | acceleration,action,current,mass,permittivity | m·a·S·i·ε | em,mechanics | m·a⁵·S²·i⁻⁶·ε³ | m = k₀ · a⁻⁵·S⁻²·i⁶·ε⁻³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "1", "acceleration": "5", "action": "2", "current": "-6", "permittivity": "3"} |
5 | acceleration,action,current,elem_charge,mass | m·a·S·i·e | constants,em,mechanics | m·a²·S⁻¹·i⁻³·e³ | m = k₀ · a⁻²·S·i³·e⁻³ | null | 1 | 3 | 3 | 10 | 8.7 | 0.3 | false | {"mass": "1", "acceleration": "2", "action": "-1", "current": "-3", "elem_charge": "3"} |
5 | acceleration,action,mass,resistance,voltage | m·a·S·U·R | em,mechanics | m²·a⁴·S·U⁻⁶·R³ | S = k₀ · m⁻²·a⁻⁴·U⁶·R⁻³ | null | 0 | 2 | 6 | 16 | 13.8 | -4.3 | false | {"mass": "2", "acceleration": "4", "action": "1", "voltage": "-6", "resistance": "3"} |
5 | acceleration,action,capacitance,mass,voltage | m·a·S·U·C_e | em,mechanics | m·a²·S²·U⁻⁶·C_e⁻³ | m = k₀ · a⁻²·S⁻²·U⁶·C_e³ | null | 0 | 2 | 6 | 14 | 12.4 | -2.9 | false | {"mass": "1", "acceleration": "2", "action": "2", "voltage": "-6", "capacitance": "-3"} |
5 | acceleration,action,efield,mass,voltage | m·a·S·U·E_f | em,mechanics | m²·a·S⁻²·U³·E_f⁻³ | a = k₀ · m⁻²·S²·U⁻³·E_f³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "2", "acceleration": "1", "action": "-2", "voltage": "3", "efield": "-3"} |
5 | acceleration,action,mag_flux,mass,voltage | m·a·S·U·Φ | em,mechanics | m·a²·S⁻¹·U⁻³·Φ³ | m = k₀ · a⁻²·S·U³·Φ⁻³ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "acceleration": "2", "action": "-1", "voltage": "-3", "mag_flux": "3"} |
5 | acceleration,action,mass,permeability,voltage | m·a·S·U·μ₀ | em,mechanics | m·a⁵·S²·U⁻⁶·μ₀³ | m = k₀ · a⁻⁵·S⁻²·U⁶·μ₀⁻³ | null | 0 | 2 | 6 | 17 | 14.5 | -5 | false | {"mass": "1", "acceleration": "5", "action": "2", "voltage": "-6", "permeability": "3"} |
5 | acceleration,action,conductivity,mass,voltage | m·a·S·U·σ | em,mechanics | m⁴·a⁵·S⁻¹·U⁻⁶·σ⁻³ | S = k₀ · m⁴·a⁵·U⁻⁶·σ⁻³ | null | 0 | 2 | 6 | 19 | 15.9 | -6.4 | false | {"mass": "4", "acceleration": "5", "action": "-1", "voltage": "-6", "conductivity": "-3"} |
5 | acceleration,action,mass,resistivity,voltage | m·a·S·U·ρ_e | em,mechanics | m⁴·a⁵·S⁻¹·U⁻⁶·ρ_e³ | S = k₀ · m⁴·a⁵·U⁻⁶·ρ_e³ | null | 0 | 2 | 6 | 19 | 15.9 | -6.4 | false | {"mass": "4", "acceleration": "5", "action": "-1", "voltage": "-6", "resistivity": "3"} |
5 | acceleration,action,elem_charge,mass,voltage | m·a·S·U·e | constants,em,mechanics | m·a²·S²·U⁻³·e⁻³ | m = k₀ · a⁻²·S⁻²·U³·e³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "1", "acceleration": "2", "action": "2", "voltage": "-3", "elem_charge": "-3"} |
5 | acceleration,action,capacitance,mass,resistance | m·a·S·R·C_e | em,mechanics | m·a²·S⁻¹·R³·C_e³ | m = k₀ · a⁻²·S·R⁻³·C_e⁻³ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "acceleration": "2", "action": "-1", "resistance": "3", "capacitance": "3"} |
5 | acceleration,action,inductance,mass,resistance | m·a·S·R·L_e | em,mechanics | m·a²·S⁻¹·R⁻³·L_e³ | m = k₀ · a⁻²·S·R³·L_e⁻³ | null | 0 | 2 | 3 | 10 | 8.1 | 1.4 | false | {"mass": "1", "acceleration": "2", "action": "-1", "resistance": "-3", "inductance": "3"} |
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