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 | conductivity,grav_const,mass,permittivity,velocity | m·v·ε·σ·G | constants,em,mechanics | m·v⁻³·ε⁻¹·σ·G | m = k₀ · v³·ε·σ⁻¹·G⁻¹ | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "velocity": "-3", "permittivity": "-1", "conductivity": "1", "grav_const": "1"} |
5 | conductivity,mass,permittivity,planck,velocity | m·v·ε·σ·h | constants,em,mechanics | m·v²·ε·σ⁻¹·h⁻¹ | m = k₀ · v⁻²·ε⁻¹·σ·h | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "velocity": "2", "permittivity": "1", "conductivity": "-1", "planck": "-1"} |
5 | conductivity,elem_charge,mass,permittivity,velocity | m·v·ε·σ·e | constants,em,mechanics | m·v³·ε²·σ⁻¹·e⁻² | m = k₀ · v⁻³·ε⁻²·σ·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "velocity": "3", "permittivity": "2", "conductivity": "-1", "elem_charge": "-2"} |
6 | concentration,mass,molar_mass,permittivity,resistivity,velocity | m·v·ε·ρ_e·M_m·c_n | chemistry,em,mechanics | m·v⁻³·ε⁻³·ρ_e⁻³·M_m⁻¹·c_n⁻¹ | m = k₀ · v³·ε³·ρ_e³·M_m·c_n | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "velocity": "-3", "permittivity": "-3", "resistivity": "-3", "molar_mass": "-1", "concentration": "-1"} |
6 | concentration,mass,molar_energy,permittivity,resistivity,velocity | m·v·ε·ρ_e·c_n·E_m | chemistry,em,mechanics | m·v⁻¹·ε⁻³·ρ_e⁻³·c_n⁻¹·E_m⁻¹ | m = k₀ · v·ε³·ρ_e³·c_n·E_m | null | 0 | 3 | 3 | 10 | 9 | 0 | false | {"mass": "1", "velocity": "-1", "permittivity": "-3", "resistivity": "-3", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,mass,molar_energy,permittivity,resistivity,velocity | m·v·ε·ρ_e·E_m·z | chemistry,em,mechanics | m·v²·ε⁻¹·ρ_e⁻¹·E_m⁻¹·z⁻¹ | m = k₀ · v⁻²·ε·ρ_e·E_m·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "permittivity": "-1", "resistivity": "-1", "molar_energy": "-1", "cat_activity": "-1"} |
5 | grav_const,mass,permittivity,resistivity,velocity | m·v·ε·ρ_e·G | constants,em,mechanics | m·v⁻³·ε⁻¹·ρ_e⁻¹·G | m = k₀ · v³·ε·ρ_e·G⁻¹ | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "velocity": "-3", "permittivity": "-1", "resistivity": "-1", "grav_const": "1"} |
5 | mass,permittivity,planck,resistivity,velocity | m·v·ε·ρ_e·h | constants,em,mechanics | m·v²·ε·ρ_e·h⁻¹ | m = k₀ · v⁻²·ε⁻¹·ρ_e⁻¹·h | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "velocity": "2", "permittivity": "1", "resistivity": "1", "planck": "-1"} |
5 | elem_charge,mass,permittivity,resistivity,velocity | m·v·ε·ρ_e·e | constants,em,mechanics | m·v³·ε²·ρ_e·e⁻² | m = k₀ · v⁻³·ε⁻²·ρ_e⁻¹·e² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "1", "velocity": "3", "permittivity": "2", "resistivity": "1", "elem_charge": "-2"} |
6 | amount,concentration,elem_charge,mass,permittivity,velocity | m·v·ε·n·c_n·e | chemistry,constants,em,mechanics | m³·v⁶·ε³·n·c_n⁻¹·e⁻⁶ | n = k₀ · m⁻³·v⁻⁶·ε⁻³·c_n·e⁶ | null | 1 | 4 | 6 | 20 | 18.1 | -9.6 | false | {"mass": "3", "velocity": "6", "permittivity": "3", "amount": "1", "concentration": "-1", "elem_charge": "-6"} |
6 | amount,cat_activity,elem_charge,mass,permittivity,velocity | m·v·ε·n·z·e | chemistry,constants,em,mechanics | m·v³·ε·n·z⁻¹·e⁻² | m = k₀ · v⁻³·ε⁻¹·n⁻¹·z·e² | null | 1 | 4 | 3 | 9 | 8.9 | -0.4 | false | {"mass": "1", "velocity": "3", "permittivity": "1", "amount": "1", "cat_activity": "-1", "elem_charge": "-2"} |
6 | concentration,elem_charge,mass,molar_mass,permittivity,velocity | m·v·ε·M_m·c_n·e | chemistry,constants,em,mechanics | m⁴·v⁶·ε³·M_m⁻¹·c_n⁻¹·e⁻⁶ | M_m = k₀ · m⁴·v⁶·ε³·c_n⁻¹·e⁻⁶ | null | 1 | 4 | 6 | 21 | 18.8 | -10.3 | false | {"mass": "4", "velocity": "6", "permittivity": "3", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-6"} |
6 | cat_activity,elem_charge,mass,molar_mass,permittivity,velocity | m·v·ε·M_m·z·e | chemistry,constants,em,mechanics | m²·v³·ε·M_m⁻¹·z⁻¹·e⁻² | ε = k₀ · m⁻²·v⁻³·M_m·z·e² | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "2", "velocity": "3", "permittivity": "1", "molar_mass": "-1", "cat_activity": "-1", "elem_charge": "-2"} |
6 | concentration,elem_charge,mass,molar_energy,permittivity,velocity | m·v·ε·c_n·E_m·e | chemistry,constants,em,mechanics | m⁴·v⁸·ε³·c_n⁻¹·E_m⁻¹·e⁻⁶ | c_n = k₀ · m⁴·v⁸·ε³·E_m⁻¹·e⁻⁶ | null | 1 | 4 | 8 | 23 | 21.2 | -12.7 | false | {"mass": "4", "velocity": "8", "permittivity": "3", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-6"} |
7 | boltzmann,concentration,elem_charge,gas_constant,mass,permittivity,velocity | m·v·ε·c_n·R·k_B·e | chemistry,constants,em,mechanics | m³·v⁶·ε³·c_n⁻¹·R⁻¹·k_B·e⁻⁶ | c_n = k₀ · m³·v⁶·ε³·R⁻¹·k_B·e⁻⁶ | null | 2 | 4 | 6 | 21 | 20.1 | -13.1 | false | {"mass": "3", "velocity": "6", "permittivity": "3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-6"} |
6 | cat_activity,concentration,elem_charge,mass,permittivity,velocity | m·v·ε·c_n·z·e | chemistry,constants,em,mechanics | m²·v³·ε²·c_n⁻¹·z·e⁻⁴ | c_n = k₀ · m²·v³·ε²·z·e⁻⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "2", "velocity": "3", "permittivity": "2", "concentration": "-1", "cat_activity": "1", "elem_charge": "-4"} |
6 | avogadro,concentration,elem_charge,mass,permittivity,velocity | m·v·ε·c_n·e·N_A | chemistry,constants,em,mechanics | m³·v⁶·ε³·c_n⁻¹·e⁻⁶·N_A⁻¹ | c_n = k₀ · m³·v⁶·ε³·e⁻⁶·N_A⁻¹ | null | 2 | 4 | 6 | 20 | 19.1 | -12.1 | false | {"mass": "3", "velocity": "6", "permittivity": "3", "concentration": "-1", "elem_charge": "-6", "avogadro": "-1"} |
6 | cat_activity,elem_charge,mass,molar_energy,permittivity,velocity | m·v·ε·E_m·z·e | chemistry,constants,em,mechanics | m²·v⁵·ε·E_m⁻¹·z⁻¹·e⁻² | ε = k₀ · m⁻²·v⁻⁵·E_m·z·e² | null | 1 | 4 | 5 | 12 | 12 | -3.5 | false | {"mass": "2", "velocity": "5", "permittivity": "1", "molar_energy": "-1", "cat_activity": "-1", "elem_charge": "-2"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,mass,permittivity,velocity | m·v·ε·R·z·k_B·e | chemistry,constants,em,mechanics | m·v³·ε·R⁻¹·z⁻¹·k_B·e⁻² | m = k₀ · v⁻³·ε⁻¹·R·z·k_B⁻¹·e² | null | 2 | 4 | 3 | 10 | 10.9 | -3.9 | false | {"mass": "1", "velocity": "3", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | avogadro,cat_activity,elem_charge,mass,permittivity,velocity | m·v·ε·z·e·N_A | chemistry,constants,em,mechanics | m·v³·ε·z⁻¹·e⁻²·N_A⁻¹ | m = k₀ · v⁻³·ε⁻¹·z·e²·N_A | null | 2 | 4 | 3 | 9 | 9.9 | -2.9 | false | {"mass": "1", "velocity": "3", "permittivity": "1", "cat_activity": "-1", "elem_charge": "-2", "avogadro": "-1"} |
6 | elem_charge,illuminance,lum_intensity,mass,permittivity,velocity | m·v·ε·I_v·E_v·e | constants,em,mechanics,photometry | m²·v⁴·ε²·I_v·E_v⁻¹·e⁻⁴ | I_v = k₀ · m⁻²·v⁻⁴·ε⁻²·E_v·e⁴ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "2", "velocity": "4", "permittivity": "2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-4"} |
6 | elem_charge,lum_intensity,luminance,mass,permittivity,velocity | m·v·ε·I_v·L_v·e | constants,em,mechanics,photometry | m²·v⁴·ε²·I_v·L_v⁻¹·e⁻⁴ | I_v = k₀ · m⁻²·v⁻⁴·ε⁻²·L_v·e⁴ | null | 1 | 4 | 4 | 14 | 12.9 | -4.4 | false | {"mass": "2", "velocity": "4", "permittivity": "2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-4"} |
6 | concentration,conductivity,mass,molar_mass,permeability,velocity | m·v·μ₀·σ·M_m·c_n | chemistry,em,mechanics | m·v³·μ₀³·σ³·M_m⁻¹·c_n⁻¹ | m = k₀ · v⁻³·μ₀⁻³·σ⁻³·M_m·c_n | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "velocity": "3", "permeability": "3", "conductivity": "3", "molar_mass": "-1", "concentration": "-1"} |
6 | cat_activity,conductivity,mass,molar_mass,permeability,velocity | m·v·μ₀·σ·M_m·z | chemistry,em,mechanics | m·v²·μ₀·σ·M_m⁻¹·z⁻¹ | m = k₀ · v⁻²·μ₀⁻¹·σ⁻¹·M_m·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "permeability": "1", "conductivity": "1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,conductivity,mass,molar_energy,permeability,velocity | m·v·μ₀·σ·c_n·E_m | chemistry,em,mechanics | m·v⁵·μ₀³·σ³·c_n⁻¹·E_m⁻¹ | m = k₀ · v⁻⁵·μ₀⁻³·σ⁻³·c_n·E_m | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "velocity": "5", "permeability": "3", "conductivity": "3", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,conductivity,mass,molar_energy,permeability,velocity | m·v·μ₀·σ·E_m·z | chemistry,em,mechanics | m·v⁴·μ₀·σ·E_m⁻¹·z⁻¹ | m = k₀ · v⁻⁴·μ₀⁻¹·σ⁻¹·E_m·z | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "velocity": "4", "permeability": "1", "conductivity": "1", "molar_energy": "-1", "cat_activity": "-1"} |
5 | conductivity,grav_const,mass,permeability,velocity | m·v·μ₀·σ·G | constants,em,mechanics | m·v⁻¹·μ₀·σ·G | m = k₀ · v·μ₀⁻¹·σ⁻¹·G⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "velocity": "-1", "permeability": "1", "conductivity": "1", "grav_const": "1"} |
5 | conductivity,elem_charge,mass,permeability,velocity | m·v·μ₀·σ·e | constants,em,mechanics | m·v⁻¹·μ₀⁻²·σ⁻¹·e⁻² | m = k₀ · v·μ₀²·σ·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "velocity": "-1", "permeability": "-2", "conductivity": "-1", "elem_charge": "-2"} |
6 | concentration,mass,molar_mass,permeability,resistivity,velocity | m·v·μ₀·ρ_e·M_m·c_n | chemistry,em,mechanics | m·v³·μ₀³·ρ_e⁻³·M_m⁻¹·c_n⁻¹ | m = k₀ · v⁻³·μ₀⁻³·ρ_e³·M_m·c_n | null | 0 | 3 | 3 | 12 | 10.4 | -1.4 | false | {"mass": "1", "velocity": "3", "permeability": "3", "resistivity": "-3", "molar_mass": "-1", "concentration": "-1"} |
6 | cat_activity,mass,molar_mass,permeability,resistivity,velocity | m·v·μ₀·ρ_e·M_m·z | chemistry,em,mechanics | m·v²·μ₀·ρ_e⁻¹·M_m⁻¹·z⁻¹ | m = k₀ · v⁻²·μ₀⁻¹·ρ_e·M_m·z | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "permeability": "1", "resistivity": "-1", "molar_mass": "-1", "cat_activity": "-1"} |
6 | concentration,mass,molar_energy,permeability,resistivity,velocity | m·v·μ₀·ρ_e·c_n·E_m | chemistry,em,mechanics | m·v⁵·μ₀³·ρ_e⁻³·c_n⁻¹·E_m⁻¹ | m = k₀ · v⁻⁵·μ₀⁻³·ρ_e³·c_n·E_m | null | 0 | 3 | 5 | 14 | 12.8 | -3.8 | false | {"mass": "1", "velocity": "5", "permeability": "3", "resistivity": "-3", "concentration": "-1", "molar_energy": "-1"} |
6 | cat_activity,mass,molar_energy,permeability,resistivity,velocity | m·v·μ₀·ρ_e·E_m·z | chemistry,em,mechanics | m·v⁴·μ₀·ρ_e⁻¹·E_m⁻¹·z⁻¹ | m = k₀ · v⁻⁴·μ₀⁻¹·ρ_e·E_m·z | null | 0 | 3 | 4 | 9 | 8.8 | 0.2 | false | {"mass": "1", "velocity": "4", "permeability": "1", "resistivity": "-1", "molar_energy": "-1", "cat_activity": "-1"} |
5 | grav_const,mass,permeability,resistivity,velocity | m·v·μ₀·ρ_e·G | constants,em,mechanics | m·v⁻¹·μ₀·ρ_e⁻¹·G | m = k₀ · v·μ₀⁻¹·ρ_e·G⁻¹ | null | 1 | 3 | 1 | 5 | 4.2 | 4.8 | false | {"mass": "1", "velocity": "-1", "permeability": "1", "resistivity": "-1", "grav_const": "1"} |
5 | elem_charge,mass,permeability,resistivity,velocity | m·v·μ₀·ρ_e·e | constants,em,mechanics | m·v⁻¹·μ₀⁻²·ρ_e·e⁻² | m = k₀ · v·μ₀²·ρ_e⁻¹·e² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "1", "velocity": "-1", "permeability": "-2", "resistivity": "1", "elem_charge": "-2"} |
6 | amount,cat_activity,elem_charge,mass,permeability,velocity | m·v·μ₀·n·z·e | chemistry,constants,em,mechanics | m·v·μ₀⁻¹·n·z⁻¹·e⁻² | m = k₀ · v⁻¹·μ₀·n⁻¹·z·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "permeability": "-1", "amount": "1", "cat_activity": "-1", "elem_charge": "-2"} |
6 | cat_activity,elem_charge,mass,molar_mass,permeability,velocity | m·v·μ₀·M_m·z·e | chemistry,constants,em,mechanics | m²·v·μ₀⁻¹·M_m⁻¹·z⁻¹·e⁻² | v = k₀ · m⁻²·μ₀·M_m·z·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "2", "velocity": "1", "permeability": "-1", "molar_mass": "-1", "cat_activity": "-1", "elem_charge": "-2"} |
6 | concentration,elem_charge,mass,molar_energy,permeability,velocity | m·v·μ₀·c_n·E_m·e | chemistry,constants,em,mechanics | m⁴·v²·μ₀⁻³·c_n⁻¹·E_m⁻¹·e⁻⁶ | c_n = k₀ · m⁴·v²·μ₀⁻³·E_m⁻¹·e⁻⁶ | null | 1 | 4 | 6 | 17 | 16 | -7.5 | false | {"mass": "4", "velocity": "2", "permeability": "-3", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-6"} |
6 | cat_activity,concentration,elem_charge,mass,permeability,velocity | m·v·μ₀·c_n·z·e | chemistry,constants,em,mechanics | m²·v⁻¹·μ₀⁻²·c_n⁻¹·z·e⁻⁴ | v = k₀ · m²·μ₀⁻²·c_n⁻¹·z·e⁻⁴ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "2", "velocity": "-1", "permeability": "-2", "concentration": "-1", "cat_activity": "1", "elem_charge": "-4"} |
6 | cat_activity,elem_charge,mass,molar_energy,permeability,velocity | m·v·μ₀·E_m·z·e | chemistry,constants,em,mechanics | m²·v³·μ₀⁻¹·E_m⁻¹·z⁻¹·e⁻² | μ₀ = k₀ · m²·v³·E_m⁻¹·z⁻¹·e⁻² | null | 1 | 4 | 3 | 10 | 9.6 | -1.1 | false | {"mass": "2", "velocity": "3", "permeability": "-1", "molar_energy": "-1", "cat_activity": "-1", "elem_charge": "-2"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,mass,permeability,velocity | m·v·μ₀·R·z·k_B·e | chemistry,constants,em,mechanics | m·v·μ₀⁻¹·R⁻¹·z⁻¹·k_B·e⁻² | m = k₀ · v⁻¹·μ₀·R·z·k_B⁻¹·e² | null | 2 | 4 | 2 | 8 | 9 | -2 | false | {"mass": "1", "velocity": "1", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1", "elem_charge": "-2"} |
6 | avogadro,cat_activity,elem_charge,mass,permeability,velocity | m·v·μ₀·z·e·N_A | chemistry,constants,em,mechanics | m·v·μ₀⁻¹·z⁻¹·e⁻²·N_A⁻¹ | m = k₀ · v⁻¹·μ₀·z·e²·N_A | null | 2 | 4 | 2 | 7 | 8 | -1 | false | {"mass": "1", "velocity": "1", "permeability": "-1", "cat_activity": "-1", "elem_charge": "-2", "avogadro": "-1"} |
5 | elem_charge,grav_const,mass,permeability,velocity | m·v·μ₀·G·e | constants,em,mechanics | m²·v⁻²·μ₀⁻¹·G·e⁻² | μ₀ = k₀ · m²·v⁻²·G·e⁻² | null | 2 | 3 | 2 | 8 | 7.8 | -0.3 | false | {"mass": "2", "velocity": "-2", "permeability": "-1", "grav_const": "1", "elem_charge": "-2"} |
6 | amount,concentration,conductivity,elem_charge,mass,velocity | m·v·σ·n·c_n·e | chemistry,constants,em,mechanics | m³·v³·σ³·n²·c_n⁻²·e⁻⁶ | n = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·σ⁻³ᐟ²·c_n·e³ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "3", "velocity": "3", "conductivity": "3", "amount": "2", "concentration": "-2", "elem_charge": "-6"} |
6 | amount,cat_activity,conductivity,elem_charge,mass,velocity | m·v·σ·n·z·e | chemistry,constants,em,mechanics | m·v³·σ·n²·z⁻²·e⁻² | m = k₀ · v⁻³·σ⁻¹·n⁻²·z²·e² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "velocity": "3", "conductivity": "1", "amount": "2", "cat_activity": "-2", "elem_charge": "-2"} |
6 | concentration,conductivity,elem_charge,mass,molar_mass,velocity | m·v·σ·M_m·c_n·e | chemistry,constants,em,mechanics | m⁵·v³·σ³·M_m⁻²·c_n⁻²·e⁻⁶ | M_m = k₀ · m⁵ᐟ²·v³ᐟ²·σ³ᐟ²·c_n⁻¹·e⁻³ | null | 1 | 4 | 6 | 21 | 18.8 | -10.3 | false | {"mass": "5", "velocity": "3", "conductivity": "3", "molar_mass": "-2", "concentration": "-2", "elem_charge": "-6"} |
6 | cat_activity,conductivity,elem_charge,mass,molar_mass,velocity | m·v·σ·M_m·z·e | chemistry,constants,em,mechanics | m³·v³·σ·M_m⁻²·z⁻²·e⁻² | σ = k₀ · m⁻³·v⁻³·M_m²·z²·e² | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "3", "velocity": "3", "conductivity": "1", "molar_mass": "-2", "cat_activity": "-2", "elem_charge": "-2"} |
6 | concentration,conductivity,elem_charge,mass,molar_energy,velocity | m·v·σ·c_n·E_m·e | chemistry,constants,em,mechanics | m⁵·v⁷·σ³·c_n⁻²·E_m⁻²·e⁻⁶ | c_n = k₀ · m⁵ᐟ²·v⁷ᐟ²·σ³ᐟ²·E_m⁻¹·e⁻³ | null | 1 | 4 | 7 | 25 | 22.1 | -13.6 | false | {"mass": "5", "velocity": "7", "conductivity": "3", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-6"} |
7 | boltzmann,concentration,conductivity,elem_charge,gas_constant,mass,velocity | m·v·σ·c_n·R·k_B·e | chemistry,constants,em,mechanics | m³·v³·σ³·c_n⁻²·R⁻²·k_B²·e⁻⁶ | c_n = k₀ · m³ᐟ²·v³ᐟ²·σ³ᐟ²·R⁻¹·k_B·e⁻³ | null | 2 | 4 | 6 | 21 | 20.1 | -13.1 | false | {"mass": "3", "velocity": "3", "conductivity": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-6"} |
6 | avogadro,concentration,conductivity,elem_charge,mass,velocity | m·v·σ·c_n·e·N_A | chemistry,constants,em,mechanics | m³·v³·σ³·c_n⁻²·e⁻⁶·N_A⁻² | c_n = k₀ · m³ᐟ²·v³ᐟ²·σ³ᐟ²·e⁻³·N_A⁻¹ | null | 2 | 4 | 6 | 19 | 18.4 | -11.4 | false | {"mass": "3", "velocity": "3", "conductivity": "3", "concentration": "-2", "elem_charge": "-6", "avogadro": "-2"} |
6 | cat_activity,conductivity,elem_charge,mass,molar_energy,velocity | m·v·σ·E_m·z·e | chemistry,constants,em,mechanics | m³·v⁷·σ·E_m⁻²·z⁻²·e⁻² | σ = k₀ · m⁻³·v⁻⁷·E_m²·z²·e² | null | 1 | 4 | 7 | 17 | 16.5 | -8 | false | {"mass": "3", "velocity": "7", "conductivity": "1", "molar_energy": "-2", "cat_activity": "-2", "elem_charge": "-2"} |
7 | boltzmann,cat_activity,conductivity,elem_charge,gas_constant,mass,velocity | m·v·σ·R·z·k_B·e | chemistry,constants,em,mechanics | m·v³·σ·R⁻²·z⁻²·k_B²·e⁻² | m = k₀ · v⁻³·σ⁻¹·R²·z²·k_B⁻²·e² | null | 2 | 4 | 3 | 13 | 13 | -6 | false | {"mass": "1", "velocity": "3", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2", "elem_charge": "-2"} |
6 | avogadro,cat_activity,conductivity,elem_charge,mass,velocity | m·v·σ·z·e·N_A | chemistry,constants,em,mechanics | m·v³·σ·z⁻²·e⁻²·N_A⁻² | m = k₀ · v⁻³·σ⁻¹·z²·e²·N_A² | null | 2 | 4 | 3 | 11 | 11.3 | -4.3 | false | {"mass": "1", "velocity": "3", "conductivity": "1", "cat_activity": "-2", "elem_charge": "-2", "avogadro": "-2"} |
6 | conductivity,elem_charge,illuminance,lum_intensity,mass,velocity | m·v·σ·I_v·E_v·e | constants,em,mechanics,photometry | m·v·σ·I_v·E_v⁻¹·e⁻² | m = k₀ · v⁻¹·σ⁻¹·I_v⁻¹·E_v·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "conductivity": "1", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-2"} |
6 | conductivity,elem_charge,lum_intensity,luminance,mass,velocity | m·v·σ·I_v·L_v·e | constants,em,mechanics,photometry | m·v·σ·I_v·L_v⁻¹·e⁻² | m = k₀ · v⁻¹·σ⁻¹·I_v⁻¹·L_v·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "conductivity": "1", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-2"} |
5 | conductivity,elem_charge,grav_const,mass,velocity | m·v·σ·G·e | constants,em,mechanics | m³·v⁻³·σ·G²·e⁻² | σ = k₀ · m⁻³·v³·G⁻²·e² | null | 2 | 3 | 3 | 11 | 10.4 | -2.9 | false | {"mass": "3", "velocity": "-3", "conductivity": "1", "grav_const": "2", "elem_charge": "-2"} |
5 | conductivity,elem_charge,mass,planck,velocity | m·v·σ·h·e | constants,em,mechanics | m·v·σ⁻¹·h⁻²·e² | m = k₀ · v⁻¹·σ·h²·e⁻² | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "1", "velocity": "1", "conductivity": "-1", "planck": "-2", "elem_charge": "2"} |
6 | amount,concentration,elem_charge,mass,resistivity,velocity | m·v·ρ_e·n·c_n·e | chemistry,constants,em,mechanics | m³·v³·ρ_e⁻³·n²·c_n⁻²·e⁻⁶ | n = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·ρ_e³ᐟ²·c_n·e³ | null | 1 | 4 | 6 | 19 | 17.4 | -8.9 | false | {"mass": "3", "velocity": "3", "resistivity": "-3", "amount": "2", "concentration": "-2", "elem_charge": "-6"} |
6 | amount,cat_activity,elem_charge,mass,resistivity,velocity | m·v·ρ_e·n·z·e | chemistry,constants,em,mechanics | m·v³·ρ_e⁻¹·n²·z⁻²·e⁻² | m = k₀ · v⁻³·ρ_e·n⁻²·z²·e² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "1", "velocity": "3", "resistivity": "-1", "amount": "2", "cat_activity": "-2", "elem_charge": "-2"} |
6 | concentration,elem_charge,mass,molar_mass,resistivity,velocity | m·v·ρ_e·M_m·c_n·e | chemistry,constants,em,mechanics | m⁵·v³·ρ_e⁻³·M_m⁻²·c_n⁻²·e⁻⁶ | M_m = k₀ · m⁵ᐟ²·v³ᐟ²·ρ_e⁻³ᐟ²·c_n⁻¹·e⁻³ | null | 1 | 4 | 6 | 21 | 18.8 | -10.3 | false | {"mass": "5", "velocity": "3", "resistivity": "-3", "molar_mass": "-2", "concentration": "-2", "elem_charge": "-6"} |
6 | cat_activity,elem_charge,mass,molar_mass,resistivity,velocity | m·v·ρ_e·M_m·z·e | chemistry,constants,em,mechanics | m³·v³·ρ_e⁻¹·M_m⁻²·z⁻²·e⁻² | ρ_e = k₀ · m³·v³·M_m⁻²·z⁻²·e⁻² | null | 1 | 4 | 3 | 13 | 11.7 | -3.2 | false | {"mass": "3", "velocity": "3", "resistivity": "-1", "molar_mass": "-2", "cat_activity": "-2", "elem_charge": "-2"} |
6 | concentration,elem_charge,mass,molar_energy,resistivity,velocity | m·v·ρ_e·c_n·E_m·e | chemistry,constants,em,mechanics | m⁵·v⁷·ρ_e⁻³·c_n⁻²·E_m⁻²·e⁻⁶ | c_n = k₀ · m⁵ᐟ²·v⁷ᐟ²·ρ_e⁻³ᐟ²·E_m⁻¹·e⁻³ | null | 1 | 4 | 7 | 25 | 22.1 | -13.6 | false | {"mass": "5", "velocity": "7", "resistivity": "-3", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-6"} |
7 | boltzmann,concentration,elem_charge,gas_constant,mass,resistivity,velocity | m·v·ρ_e·c_n·R·k_B·e | chemistry,constants,em,mechanics | m³·v³·ρ_e⁻³·c_n⁻²·R⁻²·k_B²·e⁻⁶ | c_n = k₀ · m³ᐟ²·v³ᐟ²·ρ_e⁻³ᐟ²·R⁻¹·k_B·e⁻³ | null | 2 | 4 | 6 | 21 | 20.1 | -13.1 | false | {"mass": "3", "velocity": "3", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-6"} |
6 | avogadro,concentration,elem_charge,mass,resistivity,velocity | m·v·ρ_e·c_n·e·N_A | chemistry,constants,em,mechanics | m³·v³·ρ_e⁻³·c_n⁻²·e⁻⁶·N_A⁻² | c_n = k₀ · m³ᐟ²·v³ᐟ²·ρ_e⁻³ᐟ²·e⁻³·N_A⁻¹ | null | 2 | 4 | 6 | 19 | 18.4 | -11.4 | false | {"mass": "3", "velocity": "3", "resistivity": "-3", "concentration": "-2", "elem_charge": "-6", "avogadro": "-2"} |
6 | cat_activity,elem_charge,mass,molar_energy,resistivity,velocity | m·v·ρ_e·E_m·z·e | chemistry,constants,em,mechanics | m³·v⁷·ρ_e⁻¹·E_m⁻²·z⁻²·e⁻² | ρ_e = k₀ · m³·v⁷·E_m⁻²·z⁻²·e⁻² | null | 1 | 4 | 7 | 17 | 16.5 | -8 | false | {"mass": "3", "velocity": "7", "resistivity": "-1", "molar_energy": "-2", "cat_activity": "-2", "elem_charge": "-2"} |
7 | boltzmann,cat_activity,elem_charge,gas_constant,mass,resistivity,velocity | m·v·ρ_e·R·z·k_B·e | chemistry,constants,em,mechanics | m·v³·ρ_e⁻¹·R⁻²·z⁻²·k_B²·e⁻² | m = k₀ · v⁻³·ρ_e·R²·z²·k_B⁻²·e² | null | 2 | 4 | 3 | 13 | 13 | -6 | false | {"mass": "1", "velocity": "3", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2", "elem_charge": "-2"} |
6 | avogadro,cat_activity,elem_charge,mass,resistivity,velocity | m·v·ρ_e·z·e·N_A | chemistry,constants,em,mechanics | m·v³·ρ_e⁻¹·z⁻²·e⁻²·N_A⁻² | m = k₀ · v⁻³·ρ_e·z²·e²·N_A² | null | 2 | 4 | 3 | 11 | 11.3 | -4.3 | false | {"mass": "1", "velocity": "3", "resistivity": "-1", "cat_activity": "-2", "elem_charge": "-2", "avogadro": "-2"} |
6 | elem_charge,illuminance,lum_intensity,mass,resistivity,velocity | m·v·ρ_e·I_v·E_v·e | constants,em,mechanics,photometry | m·v·ρ_e⁻¹·I_v·E_v⁻¹·e⁻² | m = k₀ · v⁻¹·ρ_e·I_v⁻¹·E_v·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "resistivity": "-1", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-2"} |
6 | elem_charge,lum_intensity,luminance,mass,resistivity,velocity | m·v·ρ_e·I_v·L_v·e | constants,em,mechanics,photometry | m·v·ρ_e⁻¹·I_v·L_v⁻¹·e⁻² | m = k₀ · v⁻¹·ρ_e·I_v⁻¹·L_v·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "resistivity": "-1", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-2"} |
5 | elem_charge,grav_const,mass,resistivity,velocity | m·v·ρ_e·G·e | constants,em,mechanics | m³·v⁻³·ρ_e⁻¹·G²·e⁻² | ρ_e = k₀ · m³·v⁻³·G²·e⁻² | null | 2 | 3 | 3 | 11 | 10.4 | -2.9 | false | {"mass": "3", "velocity": "-3", "resistivity": "-1", "grav_const": "2", "elem_charge": "-2"} |
5 | elem_charge,mass,planck,resistivity,velocity | m·v·ρ_e·h·e | constants,em,mechanics | m·v·ρ_e·h⁻²·e² | m = k₀ · v⁻¹·ρ_e⁻¹·h²·e⁻² | null | 2 | 3 | 2 | 7 | 7.1 | 0.4 | false | {"mass": "1", "velocity": "1", "resistivity": "1", "planck": "-2", "elem_charge": "2"} |
5 | amount,concentration,grav_const,mass,velocity | m·v·n·c_n·G | chemistry,constants,mechanics | m³·v⁻⁶·n⁻¹·c_n·G³ | n = k₀ · m³·v⁻⁶·c_n·G³ | null | 1 | 3 | 6 | 14 | 13 | -4 | false | {"mass": "3", "velocity": "-6", "amount": "-1", "concentration": "1", "grav_const": "3"} |
5 | amount,concentration,mass,planck,velocity | m·v·n·c_n·h | chemistry,constants,mechanics | m³·v³·n·c_n⁻¹·h⁻³ | n = k₀ · m⁻³·v⁻³·c_n·h³ | null | 1 | 3 | 3 | 11 | 9.4 | -0.4 | false | {"mass": "3", "velocity": "3", "amount": "1", "concentration": "-1", "planck": "-3"} |
4 | amount,mass,molar_energy,velocity | m·v·n·E_m | chemistry,mechanics | m·v²·n⁻¹·E_m⁻¹ | m = k₀ · v⁻²·n·E_m | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "velocity": "2", "amount": "-1", "molar_energy": "-1"} |
5 | amount,cat_activity,grav_const,mass,velocity | m·v·n·z·G | chemistry,constants,mechanics | m·v⁻³·n⁻¹·z·G | m = k₀ · v³·n·z⁻¹·G⁻¹ | null | 1 | 3 | 3 | 7 | 6.6 | 2.4 | false | {"mass": "1", "velocity": "-3", "amount": "-1", "cat_activity": "1", "grav_const": "1"} |
5 | amount,cat_activity,mass,planck,velocity | m·v·n·z·h | chemistry,constants,mechanics | m·v²·n·z⁻¹·h⁻¹ | m = k₀ · v⁻²·n⁻¹·z·h | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "velocity": "2", "amount": "1", "cat_activity": "-1", "planck": "-1"} |
5 | cat_activity,concentration,mass,molar_mass,velocity | m·v·M_m·c_n·z | chemistry,mechanics | m²·v³·M_m⁻²·c_n·z⁻³ | c_n = k₀ · m⁻²·v⁻³·M_m²·z³ | null | 0 | 2 | 3 | 11 | 8.8 | 0.7 | false | {"mass": "2", "velocity": "3", "molar_mass": "-2", "concentration": "1", "cat_activity": "-3"} |
5 | concentration,grav_const,mass,molar_mass,velocity | m·v·M_m·c_n·G | chemistry,constants,mechanics | m²·v⁻⁶·M_m·c_n·G³ | M_m = k₀ · m⁻²·v⁶·c_n⁻¹·G⁻³ | null | 1 | 3 | 6 | 13 | 12.3 | -3.3 | false | {"mass": "2", "velocity": "-6", "molar_mass": "1", "concentration": "1", "grav_const": "3"} |
5 | concentration,mass,molar_mass,planck,velocity | m·v·M_m·c_n·h | chemistry,constants,mechanics | m⁴·v³·M_m⁻¹·c_n⁻¹·h⁻³ | M_m = k₀ · m⁴·v³·c_n⁻¹·h⁻³ | null | 1 | 3 | 4 | 12 | 10.6 | -1.6 | false | {"mass": "4", "velocity": "3", "molar_mass": "-1", "concentration": "-1", "planck": "-3"} |
6 | cat_activity,illuminance,lum_intensity,mass,molar_mass,velocity | m·v·M_m·z·I_v·E_v | chemistry,mechanics,photometry | m²·v²·M_m⁻²·z⁻²·I_v⁻¹·E_v | I_v = k₀ · m²·v²·M_m⁻²·z⁻²·E_v | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "velocity": "2", "molar_mass": "-2", "cat_activity": "-2", "lum_intensity": "-1", "illuminance": "1"} |
6 | cat_activity,lum_intensity,luminance,mass,molar_mass,velocity | m·v·M_m·z·I_v·L_v | chemistry,mechanics,photometry | m²·v²·M_m⁻²·z⁻²·I_v⁻¹·L_v | I_v = k₀ · m²·v²·M_m⁻²·z⁻²·L_v | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "2", "velocity": "2", "molar_mass": "-2", "cat_activity": "-2", "lum_intensity": "-1", "luminance": "1"} |
5 | cat_activity,mass,molar_mass,planck,velocity | m·v·M_m·z·h | chemistry,constants,mechanics | m²·v²·M_m⁻¹·z⁻¹·h⁻¹ | M_m = k₀ · m²·v²·z⁻¹·h⁻¹ | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "2", "velocity": "2", "molar_mass": "-1", "cat_activity": "-1", "planck": "-1"} |
5 | cat_activity,concentration,mass,molar_energy,velocity | m·v·c_n·E_m·z | chemistry,mechanics | m²·v⁷·c_n·E_m⁻²·z⁻³ | c_n = k₀ · m⁻²·v⁻⁷·E_m²·z³ | null | 0 | 2 | 7 | 15 | 13.6 | -4.1 | false | {"mass": "2", "velocity": "7", "concentration": "1", "molar_energy": "-2", "cat_activity": "-3"} |
6 | concentration,illuminance,lum_intensity,mass,molar_energy,velocity | m·v·c_n·E_m·I_v·E_v | chemistry,mechanics,photometry | m²·v⁴·c_n⁻²·E_m⁻²·I_v⁻³·E_v³ | m = k₀ · v⁻²·c_n·E_m·I_v³ᐟ²·E_v⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "velocity": "4", "concentration": "-2", "molar_energy": "-2", "lum_intensity": "-3", "illuminance": "3"} |
6 | concentration,lum_intensity,luminance,mass,molar_energy,velocity | m·v·c_n·E_m·I_v·L_v | chemistry,mechanics,photometry | m²·v⁴·c_n⁻²·E_m⁻²·I_v⁻³·L_v³ | m = k₀ · v⁻²·c_n·E_m·I_v³ᐟ²·L_v⁻³ᐟ² | null | 0 | 3 | 4 | 16 | 13.7 | -4.7 | false | {"mass": "2", "velocity": "4", "concentration": "-2", "molar_energy": "-2", "lum_intensity": "-3", "luminance": "3"} |
5 | concentration,grav_const,mass,molar_energy,velocity | m·v·c_n·E_m·G | chemistry,constants,mechanics | m²·v⁻⁸·c_n·E_m·G³ | c_n = k₀ · m⁻²·v⁸·E_m⁻¹·G⁻³ | null | 1 | 3 | 8 | 15 | 14.7 | -5.7 | false | {"mass": "2", "velocity": "-8", "concentration": "1", "molar_energy": "1", "grav_const": "3"} |
5 | concentration,mass,molar_energy,planck,velocity | m·v·c_n·E_m·h | chemistry,constants,mechanics | m⁴·v⁵·c_n⁻¹·E_m⁻¹·h⁻³ | c_n = k₀ · m⁴·v⁵·E_m⁻¹·h⁻³ | null | 1 | 3 | 5 | 14 | 12.5 | -3.5 | false | {"mass": "4", "velocity": "5", "concentration": "-1", "molar_energy": "-1", "planck": "-3"} |
6 | boltzmann,concentration,gas_constant,grav_const,mass,velocity | m·v·c_n·R·G·k_B | chemistry,constants,mechanics | m³·v⁻⁶·c_n·R·G³·k_B⁻¹ | c_n = k₀ · m⁻³·v⁶·R⁻¹·G⁻³·k_B | null | 2 | 3 | 6 | 15 | 15 | -7.5 | false | {"mass": "3", "velocity": "-6", "concentration": "1", "gas_constant": "1", "grav_const": "3", "boltzmann": "-1"} |
6 | boltzmann,concentration,gas_constant,mass,planck,velocity | m·v·c_n·R·h·k_B | chemistry,constants,mechanics | m³·v³·c_n⁻¹·R⁻¹·h⁻³·k_B | c_n = k₀ · m³·v³·R⁻¹·h⁻³·k_B | null | 2 | 3 | 3 | 12 | 11.4 | -3.9 | false | {"mass": "3", "velocity": "3", "concentration": "-1", "gas_constant": "-1", "planck": "-3", "boltzmann": "1"} |
5 | cat_activity,concentration,grav_const,mass,velocity | m·v·c_n·z·G | chemistry,constants,mechanics | m²·v⁻³·c_n·z⁻¹·G² | c_n = k₀ · m⁻²·v³·z·G⁻² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "2", "velocity": "-3", "concentration": "1", "cat_activity": "-1", "grav_const": "2"} |
5 | cat_activity,concentration,mass,planck,velocity | m·v·c_n·z·h | chemistry,constants,mechanics | m²·v·c_n⁻¹·z·h⁻² | v = k₀ · m⁻²·c_n·z⁻¹·h² | null | 1 | 3 | 2 | 7 | 6.1 | 2.9 | false | {"mass": "2", "velocity": "1", "concentration": "-1", "cat_activity": "1", "planck": "-2"} |
5 | avogadro,concentration,grav_const,mass,velocity | m·v·c_n·G·N_A | chemistry,constants,mechanics | m³·v⁻⁶·c_n·G³·N_A | c_n = k₀ · m⁻³·v⁶·G⁻³·N_A⁻¹ | null | 2 | 3 | 6 | 14 | 14 | -6.5 | false | {"mass": "3", "velocity": "-6", "concentration": "1", "grav_const": "3", "avogadro": "1"} |
5 | avogadro,concentration,mass,planck,velocity | m·v·c_n·h·N_A | chemistry,constants,mechanics | m³·v³·c_n⁻¹·h⁻³·N_A⁻¹ | c_n = k₀ · m³·v³·h⁻³·N_A⁻¹ | null | 2 | 3 | 3 | 11 | 10.4 | -2.9 | false | {"mass": "3", "velocity": "3", "concentration": "-1", "planck": "-3", "avogadro": "-1"} |
5 | boltzmann,gas_constant,mass,molar_energy,velocity | m·v·E_m·R·k_B | chemistry,constants,mechanics | m·v²·E_m⁻¹·R·k_B⁻¹ | m = k₀ · v⁻²·E_m·R⁻¹·k_B | null | 1 | 3 | 2 | 6 | 5.4 | 3.6 | false | {"mass": "1", "velocity": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"} |
6 | cat_activity,illuminance,lum_intensity,mass,molar_energy,velocity | m·v·E_m·z·I_v·E_v | chemistry,mechanics,photometry | m²·v⁶·E_m⁻²·z⁻²·I_v⁻¹·E_v | I_v = k₀ · m²·v⁶·E_m⁻²·z⁻²·E_v | null | 0 | 3 | 6 | 14 | 13.3 | -4.3 | false | {"mass": "2", "velocity": "6", "molar_energy": "-2", "cat_activity": "-2", "lum_intensity": "-1", "illuminance": "1"} |
6 | cat_activity,lum_intensity,luminance,mass,molar_energy,velocity | m·v·E_m·z·I_v·L_v | chemistry,mechanics,photometry | m²·v⁶·E_m⁻²·z⁻²·I_v⁻¹·L_v | I_v = k₀ · m²·v⁶·E_m⁻²·z⁻²·L_v | null | 0 | 3 | 6 | 14 | 13.3 | -4.3 | false | {"mass": "2", "velocity": "6", "molar_energy": "-2", "cat_activity": "-2", "lum_intensity": "-1", "luminance": "1"} |
5 | cat_activity,mass,molar_energy,planck,velocity | m·v·E_m·z·h | chemistry,constants,mechanics | m²·v⁴·E_m⁻¹·z⁻¹·h⁻¹ | E_m = k₀ · m²·v⁴·z⁻¹·h⁻¹ | null | 1 | 3 | 4 | 9 | 8.5 | 0.5 | false | {"mass": "2", "velocity": "4", "molar_energy": "-1", "cat_activity": "-1", "planck": "-1"} |
4 | avogadro,mass,molar_energy,velocity | m·v·E_m·N_A | chemistry,constants,mechanics | m·v²·E_m⁻¹·N_A | m = k₀ · v⁻²·E_m·N_A⁻¹ | null | 1 | 3 | 2 | 5 | 4.4 | 4.6 | false | {"mass": "1", "velocity": "2", "molar_energy": "-1", "avogadro": "1"} |
6 | boltzmann,cat_activity,gas_constant,grav_const,mass,velocity | m·v·R·z·G·k_B | chemistry,constants,mechanics | m·v⁻³·R·z·G·k_B⁻¹ | m = k₀ · v³·R⁻¹·z⁻¹·G⁻¹·k_B | null | 2 | 3 | 3 | 8 | 8.6 | -1.1 | false | {"mass": "1", "velocity": "-3", "gas_constant": "1", "cat_activity": "1", "grav_const": "1", "boltzmann": "-1"} |
6 | boltzmann,cat_activity,gas_constant,mass,planck,velocity | m·v·R·z·h·k_B | chemistry,constants,mechanics | m·v²·R⁻¹·z⁻¹·h⁻¹·k_B | m = k₀ · v⁻²·R·z·h·k_B⁻¹ | null | 2 | 3 | 2 | 7 | 7.4 | 0.1 | false | {"mass": "1", "velocity": "2", "gas_constant": "-1", "cat_activity": "-1", "planck": "-1", "boltzmann": "1"} |
5 | avogadro,cat_activity,grav_const,mass,velocity | m·v·z·G·N_A | chemistry,constants,mechanics | m·v⁻³·z·G·N_A | m = k₀ · v³·z⁻¹·G⁻¹·N_A⁻¹ | null | 2 | 3 | 3 | 7 | 7.6 | -0.1 | false | {"mass": "1", "velocity": "-3", "cat_activity": "1", "grav_const": "1", "avogadro": "1"} |
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