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 | concentration,gas_constant,mass,planck,temperature,velocity | m·v·Θ·c_n·R·h | chemistry,constants,mechanics,thermo | m⁴·v⁵·Θ⁻¹·c_n⁻¹·R⁻¹·h⁻³ | Θ = k₀ · m⁴·v⁵·c_n⁻¹·R⁻¹·h⁻³ | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "4", "velocity": "5", "temperature": "-1", "concentration": "-1", "gas_constant": "-1", "planck": "-3"} |
7 | cat_activity,gas_constant,illuminance,lum_intensity,mass,temperature,velocity | m·v·Θ·R·z·I_v·E_v | chemistry,mechanics,photometry,thermo | m²·v⁶·Θ⁻²·R⁻²·z⁻²·I_v⁻¹·E_v | I_v = k₀ · m²·v⁶·Θ⁻²·R⁻²·z⁻²·E_v | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "2", "velocity": "6", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2", "lum_intensity": "-1", "illuminance": "1"} |
7 | cat_activity,gas_constant,lum_intensity,luminance,mass,temperature,velocity | m·v·Θ·R·z·I_v·L_v | chemistry,mechanics,photometry,thermo | m²·v⁶·Θ⁻²·R⁻²·z⁻²·I_v⁻¹·L_v | I_v = k₀ · m²·v⁶·Θ⁻²·R⁻²·z⁻²·L_v | null | 0 | 4 | 6 | 16 | 15.6 | -7.1 | false | {"mass": "2", "velocity": "6", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2", "lum_intensity": "-1", "luminance": "1"} |
6 | cat_activity,gas_constant,mass,planck,temperature,velocity | m·v·Θ·R·z·h | chemistry,constants,mechanics,thermo | m²·v⁴·Θ⁻¹·R⁻¹·z⁻¹·h⁻¹ | Θ = k₀ · m²·v⁴·R⁻¹·z⁻¹·h⁻¹ | null | 1 | 4 | 4 | 10 | 10.1 | -1.6 | false | {"mass": "2", "velocity": "4", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1", "planck": "-1"} |
5 | avogadro,gas_constant,mass,temperature,velocity | m·v·Θ·R·N_A | chemistry,constants,mechanics,thermo | m·v²·Θ⁻¹·R⁻¹·N_A | m = k₀ · v⁻²·Θ·R·N_A⁻¹ | null | 1 | 4 | 2 | 6 | 6 | 2.5 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"} |
4 | boltzmann,mass,temperature,velocity | m·v·Θ·k_B | constants,mechanics,thermo | m·v²·Θ⁻¹·k_B⁻¹ | m = k₀ · v⁻²·Θ·k_B | null | 1 | 3 | 2 | 5 | 4.4 | 4.6 | false | {"mass": "1", "velocity": "2", "temperature": "-1", "boltzmann": "-1"} |
6 | charge,entropy,mass,resistance,thermal_cond,velocity | m·v·S_e·κ·q·R | em,mechanics,thermo | m²·v³·S_e·κ⁻¹·q⁻⁴·R⁻² | S_e = k₀ · m⁻²·v⁻³·κ·q⁴·R² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "2", "velocity": "3", "entropy": "1", "thermal_cond": "-1", "charge": "-4", "resistance": "-2"} |
6 | charge,entropy,inductance,mass,thermal_cond,velocity | m·v·S_e·κ·q·L_e | em,mechanics,thermo | m·v·S_e·κ⁻¹·q⁻²·L_e⁻¹ | m = k₀ · v⁻¹·S_e⁻¹·κ·q²·L_e | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "1", "entropy": "1", "thermal_cond": "-1", "charge": "-2", "inductance": "-1"} |
6 | charge,efield,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·q·E_f | em,mechanics,thermo | m²·v³·S_e⁻¹·κ·q⁻²·E_f⁻² | S_e = k₀ · m²·v³·κ·q⁻²·E_f⁻² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "velocity": "3", "entropy": "-1", "thermal_cond": "1", "charge": "-2", "efield": "-2"} |
6 | bfield,charge,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·q·B | em,mechanics,thermo | m²·v·S_e⁻¹·κ·q⁻²·B⁻² | v = k₀ · m⁻²·S_e·κ⁻¹·q²·B² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "2", "velocity": "1", "entropy": "-1", "thermal_cond": "1", "charge": "-2", "bfield": "-2"} |
6 | charge,entropy,mag_flux,mass,thermal_cond,velocity | m·v·S_e·κ·q·Φ | em,mechanics,thermo | m²·v³·S_e·κ⁻¹·q⁻²·Φ⁻² | S_e = k₀ · m⁻²·v⁻³·κ·q²·Φ² | null | 0 | 3 | 3 | 11 | 9.7 | -0.7 | false | {"mass": "2", "velocity": "3", "entropy": "1", "thermal_cond": "-1", "charge": "-2", "mag_flux": "-2"} |
6 | charge,entropy,mass,permittivity,thermal_cond,velocity | m·v·S_e·κ·q·ε | em,mechanics,thermo | m²·v⁵·S_e·κ⁻¹·q⁻⁴·ε² | S_e = k₀ · m⁻²·v⁻⁵·κ·q⁴·ε⁻² | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "velocity": "5", "entropy": "1", "thermal_cond": "-1", "charge": "-4", "permittivity": "2"} |
6 | charge,entropy,mass,permeability,thermal_cond,velocity | m·v·S_e·κ·q·μ₀ | em,mechanics,thermo | m²·v·S_e·κ⁻¹·q⁻⁴·μ₀⁻² | v = k₀ · m⁻²·S_e⁻¹·κ·q⁴·μ₀² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "2", "velocity": "1", "entropy": "1", "thermal_cond": "-1", "charge": "-4", "permeability": "-2"} |
6 | charge,conductivity,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·q·σ | em,mechanics,thermo | m·v²·S_e·κ⁻¹·q⁻²·σ | m = k₀ · v⁻²·S_e⁻¹·κ·q²·σ⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "2", "entropy": "1", "thermal_cond": "-1", "charge": "-2", "conductivity": "1"} |
6 | charge,entropy,mass,resistivity,thermal_cond,velocity | m·v·S_e·κ·q·ρ_e | em,mechanics,thermo | m·v²·S_e·κ⁻¹·q⁻²·ρ_e⁻¹ | m = k₀ · v⁻²·S_e⁻¹·κ·q²·ρ_e | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "2", "entropy": "1", "thermal_cond": "-1", "charge": "-2", "resistivity": "-1"} |
6 | current,entropy,mass,thermal_cond,velocity,voltage | m·v·S_e·κ·i·U | em,mechanics,thermo | m²·v⁵·S_e⁻¹·κ·i⁻²·U⁻² | S_e = k₀ · m²·v⁵·κ·i⁻²·U⁻² | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "2", "velocity": "5", "entropy": "-1", "thermal_cond": "1", "current": "-2", "voltage": "-2"} |
6 | current,entropy,mass,resistance,thermal_cond,velocity | m·v·S_e·κ·i·R | em,mechanics,thermo | m²·v⁵·S_e⁻¹·κ·i⁻⁴·R⁻² | S_e = k₀ · m²·v⁵·κ·i⁻⁴·R⁻² | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "velocity": "5", "entropy": "-1", "thermal_cond": "1", "current": "-4", "resistance": "-2"} |
6 | capacitance,current,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·i·C_e | em,mechanics,thermo | m·v³·S_e⁻¹·κ·i⁻²·C_e | m = k₀ · v⁻³·S_e·κ⁻¹·i²·C_e⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "velocity": "3", "entropy": "-1", "thermal_cond": "1", "current": "-2", "capacitance": "1"} |
6 | current,efield,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·i·E_f | em,mechanics,thermo | m·v²·S_e⁻¹·κ·i⁻¹·E_f⁻¹ | m = k₀ · v⁻²·S_e·κ⁻¹·i·E_f | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "2", "entropy": "-1", "thermal_cond": "1", "current": "-1", "efield": "-1"} |
6 | bfield,current,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·i·B | em,mechanics,thermo | m·v·S_e⁻¹·κ·i⁻¹·B⁻¹ | m = k₀ · v⁻¹·S_e·κ⁻¹·i·B | null | 0 | 3 | 1 | 6 | 5.2 | 3.8 | false | {"mass": "1", "velocity": "1", "entropy": "-1", "thermal_cond": "1", "current": "-1", "bfield": "-1"} |
6 | current,entropy,mass,permittivity,thermal_cond,velocity | m·v·S_e·κ·i·ε | em,mechanics,thermo | m²·v⁷·S_e⁻¹·κ·i⁻⁴·ε² | S_e = k₀ · m²·v⁷·κ·i⁻⁴·ε² | null | 0 | 3 | 7 | 17 | 15.9 | -6.9 | false | {"mass": "2", "velocity": "7", "entropy": "-1", "thermal_cond": "1", "current": "-4", "permittivity": "2"} |
6 | current,entropy,mass,permeability,thermal_cond,velocity | m·v·S_e·κ·i·μ₀ | em,mechanics,thermo | m²·v³·S_e⁻¹·κ·i⁻⁴·μ₀⁻² | S_e = k₀ · m²·v³·κ·i⁻⁴·μ₀⁻² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "2", "velocity": "3", "entropy": "-1", "thermal_cond": "1", "current": "-4", "permeability": "-2"} |
6 | entropy,mass,resistance,thermal_cond,velocity,voltage | m·v·S_e·κ·U·R | em,mechanics,thermo | m²·v⁵·S_e⁻¹·κ·U⁻⁴·R² | S_e = k₀ · m²·v⁵·κ·U⁻⁴·R² | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "velocity": "5", "entropy": "-1", "thermal_cond": "1", "voltage": "-4", "resistance": "2"} |
6 | entropy,inductance,mass,thermal_cond,velocity,voltage | m·v·S_e·κ·U·L_e | em,mechanics,thermo | m·v³·S_e⁻¹·κ·U⁻²·L_e | m = k₀ · v⁻³·S_e·κ⁻¹·U²·L_e⁻¹ | null | 0 | 3 | 3 | 9 | 8.3 | 0.7 | false | {"mass": "1", "velocity": "3", "entropy": "-1", "thermal_cond": "1", "voltage": "-2", "inductance": "1"} |
6 | entropy,mass,permittivity,thermal_cond,velocity,voltage | m·v·S_e·κ·U·ε | em,mechanics,thermo | m²·v³·S_e⁻¹·κ·U⁻⁴·ε⁻² | S_e = k₀ · m²·v³·κ·U⁻⁴·ε⁻² | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "2", "velocity": "3", "entropy": "-1", "thermal_cond": "1", "voltage": "-4", "permittivity": "-2"} |
6 | entropy,mass,permeability,thermal_cond,velocity,voltage | m·v·S_e·κ·U·μ₀ | em,mechanics,thermo | m²·v⁷·S_e⁻¹·κ·U⁻⁴·μ₀² | S_e = k₀ · m²·v⁷·κ·U⁻⁴·μ₀² | null | 0 | 3 | 7 | 17 | 15.9 | -6.9 | false | {"mass": "2", "velocity": "7", "entropy": "-1", "thermal_cond": "1", "voltage": "-4", "permeability": "2"} |
6 | conductivity,entropy,mass,thermal_cond,velocity,voltage | m·v·S_e·κ·U·σ | em,mechanics,thermo | m·v²·S_e⁻¹·κ·U⁻²·σ⁻¹ | m = k₀ · v⁻²·S_e·κ⁻¹·U²·σ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "2", "entropy": "-1", "thermal_cond": "1", "voltage": "-2", "conductivity": "-1"} |
6 | entropy,mass,resistivity,thermal_cond,velocity,voltage | m·v·S_e·κ·U·ρ_e | em,mechanics,thermo | m·v²·S_e⁻¹·κ·U⁻²·ρ_e | m = k₀ · v⁻²·S_e·κ⁻¹·U²·ρ_e⁻¹ | null | 0 | 3 | 2 | 8 | 7.1 | 1.9 | false | {"mass": "1", "velocity": "2", "entropy": "-1", "thermal_cond": "1", "voltage": "-2", "resistivity": "1"} |
6 | efield,entropy,mass,resistance,thermal_cond,velocity | m·v·S_e·κ·R·E_f | em,mechanics,thermo | m²·v³·S_e⁻³·κ³·R²·E_f⁻⁴ | m = k₀ · v⁻³ᐟ²·S_e³ᐟ²·κ⁻³ᐟ²·R⁻¹·E_f² | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "2", "velocity": "3", "entropy": "-3", "thermal_cond": "3", "resistance": "2", "efield": "-4"} |
6 | bfield,entropy,mass,resistance,thermal_cond,velocity | m·v·S_e·κ·R·B | em,mechanics,thermo | m²·v⁻¹·S_e⁻³·κ³·R²·B⁻⁴ | v = k₀ · m²·S_e⁻³·κ³·R²·B⁻⁴ | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "2", "velocity": "-1", "entropy": "-3", "thermal_cond": "3", "resistance": "2", "bfield": "-4"} |
6 | entropy,mag_flux,mass,resistance,thermal_cond,velocity | m·v·S_e·κ·R·Φ | em,mechanics,thermo | m²·v³·S_e·κ⁻¹·R²·Φ⁻⁴ | S_e = k₀ · m⁻²·v⁻³·κ·R⁻²·Φ⁴ | null | 0 | 3 | 4 | 13 | 11.6 | -2.6 | false | {"mass": "2", "velocity": "3", "entropy": "1", "thermal_cond": "-1", "resistance": "2", "mag_flux": "-4"} |
6 | elem_charge,entropy,mass,resistance,thermal_cond,velocity | m·v·S_e·κ·R·e | constants,em,mechanics,thermo | m²·v³·S_e·κ⁻¹·R⁻²·e⁻⁴ | S_e = k₀ · m⁻²·v⁻³·κ·R²·e⁴ | null | 1 | 4 | 4 | 13 | 12.2 | -3.7 | false | {"mass": "2", "velocity": "3", "entropy": "1", "thermal_cond": "-1", "resistance": "-2", "elem_charge": "-4"} |
6 | capacitance,efield,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·C_e·E_f | em,mechanics,thermo | m·v·S_e⁻¹·κ·C_e⁻¹·E_f⁻² | m = k₀ · v⁻¹·S_e·κ⁻¹·C_e·E_f² | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "1", "entropy": "-1", "thermal_cond": "1", "capacitance": "-1", "efield": "-2"} |
6 | bfield,capacitance,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·C_e·B | em,mechanics,thermo | m·v⁻¹·S_e⁻¹·κ·C_e⁻¹·B⁻² | m = k₀ · v·S_e·κ⁻¹·C_e·B² | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "-1", "entropy": "-1", "thermal_cond": "1", "capacitance": "-1", "bfield": "-2"} |
6 | capacitance,entropy,mag_flux,mass,thermal_cond,velocity | m·v·S_e·κ·C_e·Φ | em,mechanics,thermo | m·v·S_e·κ⁻¹·C_e⁻¹·Φ⁻² | m = k₀ · v⁻¹·S_e⁻¹·κ·C_e·Φ² | null | 0 | 3 | 2 | 7 | 6.4 | 2.6 | false | {"mass": "1", "velocity": "1", "entropy": "1", "thermal_cond": "-1", "capacitance": "-1", "mag_flux": "-2"} |
6 | efield,entropy,inductance,mass,thermal_cond,velocity | m·v·S_e·κ·L_e·E_f | em,mechanics,thermo | m·v²·S_e⁻²·κ²·L_e·E_f⁻² | m = k₀ · v⁻²·S_e²·κ⁻²·L_e⁻¹·E_f² | null | 0 | 3 | 2 | 10 | 8.5 | 0.5 | false | {"mass": "1", "velocity": "2", "entropy": "-2", "thermal_cond": "2", "inductance": "1", "efield": "-2"} |
6 | elem_charge,entropy,inductance,mass,thermal_cond,velocity | m·v·S_e·κ·L_e·e | constants,em,mechanics,thermo | m·v·S_e·κ⁻¹·L_e⁻¹·e⁻² | m = k₀ · v⁻¹·S_e⁻¹·κ·L_e·e² | null | 1 | 4 | 2 | 7 | 7 | 1.5 | false | {"mass": "1", "velocity": "1", "entropy": "1", "thermal_cond": "-1", "inductance": "-1", "elem_charge": "-2"} |
6 | efield,entropy,mass,permittivity,thermal_cond,velocity | m·v·S_e·κ·E_f·ε | em,mechanics,thermo | m²·v·S_e⁻³·κ³·E_f⁻⁴·ε⁻² | v = k₀ · m⁻²·S_e³·κ⁻³·E_f⁴·ε² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "2", "velocity": "1", "entropy": "-3", "thermal_cond": "3", "efield": "-4", "permittivity": "-2"} |
6 | efield,entropy,mass,permeability,thermal_cond,velocity | m·v·S_e·κ·E_f·μ₀ | em,mechanics,thermo | m²·v⁵·S_e⁻³·κ³·E_f⁻⁴·μ₀² | m = k₀ · v⁻⁵ᐟ²·S_e³ᐟ²·κ⁻³ᐟ²·E_f²·μ₀⁻¹ | null | 0 | 3 | 5 | 19 | 16.3 | -7.3 | false | {"mass": "2", "velocity": "5", "entropy": "-3", "thermal_cond": "3", "efield": "-4", "permeability": "2"} |
6 | conductivity,efield,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·E_f·σ | em,mechanics,thermo | m·v·S_e⁻²·κ²·E_f⁻²·σ⁻¹ | m = k₀ · v⁻¹·S_e²·κ⁻²·E_f²·σ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "1", "entropy": "-2", "thermal_cond": "2", "efield": "-2", "conductivity": "-1"} |
6 | efield,entropy,mass,resistivity,thermal_cond,velocity | m·v·S_e·κ·E_f·ρ_e | em,mechanics,thermo | m·v·S_e⁻²·κ²·E_f⁻²·ρ_e | m = k₀ · v⁻¹·S_e²·κ⁻²·E_f²·ρ_e⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "1", "entropy": "-2", "thermal_cond": "2", "efield": "-2", "resistivity": "1"} |
6 | efield,elem_charge,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·E_f·e | constants,em,mechanics,thermo | m²·v³·S_e⁻¹·κ·E_f⁻²·e⁻² | S_e = k₀ · m²·v³·κ·E_f⁻²·e⁻² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "2", "velocity": "3", "entropy": "-1", "thermal_cond": "1", "efield": "-2", "elem_charge": "-2"} |
6 | bfield,entropy,mass,permittivity,thermal_cond,velocity | m·v·S_e·κ·B·ε | em,mechanics,thermo | m²·v⁻³·S_e⁻³·κ³·B⁻⁴·ε⁻² | m = k₀ · v³ᐟ²·S_e³ᐟ²·κ⁻³ᐟ²·B²·ε | null | 0 | 3 | 4 | 17 | 14.4 | -5.4 | false | {"mass": "2", "velocity": "-3", "entropy": "-3", "thermal_cond": "3", "bfield": "-4", "permittivity": "-2"} |
6 | bfield,entropy,mass,permeability,thermal_cond,velocity | m·v·S_e·κ·B·μ₀ | em,mechanics,thermo | m²·v·S_e⁻³·κ³·B⁻⁴·μ₀² | v = k₀ · m⁻²·S_e³·κ⁻³·B⁴·μ₀⁻² | null | 0 | 3 | 4 | 15 | 13 | -4 | false | {"mass": "2", "velocity": "1", "entropy": "-3", "thermal_cond": "3", "bfield": "-4", "permeability": "2"} |
6 | bfield,conductivity,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·B·σ | em,mechanics,thermo | m·v⁻¹·S_e⁻²·κ²·B⁻²·σ⁻¹ | m = k₀ · v·S_e²·κ⁻²·B²·σ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "-1", "entropy": "-2", "thermal_cond": "2", "bfield": "-2", "conductivity": "-1"} |
6 | bfield,entropy,mass,resistivity,thermal_cond,velocity | m·v·S_e·κ·B·ρ_e | em,mechanics,thermo | m·v⁻¹·S_e⁻²·κ²·B⁻²·ρ_e | m = k₀ · v·S_e²·κ⁻²·B²·ρ_e⁻¹ | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "1", "velocity": "-1", "entropy": "-2", "thermal_cond": "2", "bfield": "-2", "resistivity": "1"} |
6 | bfield,elem_charge,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·B·e | constants,em,mechanics,thermo | m²·v·S_e⁻¹·κ·B⁻²·e⁻² | v = k₀ · m⁻²·S_e·κ⁻¹·B²·e² | null | 1 | 4 | 2 | 9 | 8.4 | 0.1 | false | {"mass": "2", "velocity": "1", "entropy": "-1", "thermal_cond": "1", "bfield": "-2", "elem_charge": "-2"} |
6 | entropy,mag_flux,mass,permittivity,thermal_cond,velocity | m·v·S_e·κ·Φ·ε | em,mechanics,thermo | m²·v·S_e·κ⁻¹·Φ⁻⁴·ε⁻² | v = k₀ · m⁻²·S_e⁻¹·κ·Φ⁴·ε² | null | 0 | 3 | 4 | 11 | 10.2 | -1.2 | false | {"mass": "2", "velocity": "1", "entropy": "1", "thermal_cond": "-1", "mag_flux": "-4", "permittivity": "-2"} |
6 | entropy,mag_flux,mass,permeability,thermal_cond,velocity | m·v·S_e·κ·Φ·μ₀ | em,mechanics,thermo | m²·v⁵·S_e·κ⁻¹·Φ⁻⁴·μ₀² | S_e = k₀ · m⁻²·v⁻⁵·κ·Φ⁴·μ₀⁻² | null | 0 | 3 | 5 | 15 | 13.5 | -4.5 | false | {"mass": "2", "velocity": "5", "entropy": "1", "thermal_cond": "-1", "mag_flux": "-4", "permeability": "2"} |
6 | elem_charge,entropy,mag_flux,mass,thermal_cond,velocity | m·v·S_e·κ·Φ·e | constants,em,mechanics,thermo | m²·v³·S_e·κ⁻¹·Φ⁻²·e⁻² | S_e = k₀ · m⁻²·v⁻³·κ·Φ²·e² | null | 1 | 4 | 3 | 11 | 10.3 | -1.8 | false | {"mass": "2", "velocity": "3", "entropy": "1", "thermal_cond": "-1", "mag_flux": "-2", "elem_charge": "-2"} |
6 | elem_charge,entropy,mass,permittivity,thermal_cond,velocity | m·v·S_e·κ·ε·e | constants,em,mechanics,thermo | m²·v⁵·S_e·κ⁻¹·ε²·e⁻⁴ | S_e = k₀ · m⁻²·v⁻⁵·κ·ε⁻²·e⁴ | null | 1 | 4 | 5 | 15 | 14.1 | -5.6 | false | {"mass": "2", "velocity": "5", "entropy": "1", "thermal_cond": "-1", "permittivity": "2", "elem_charge": "-4"} |
6 | elem_charge,entropy,mass,permeability,thermal_cond,velocity | m·v·S_e·κ·μ₀·e | constants,em,mechanics,thermo | m²·v·S_e·κ⁻¹·μ₀⁻²·e⁻⁴ | v = k₀ · m⁻²·S_e⁻¹·κ·μ₀²·e⁴ | null | 1 | 4 | 4 | 11 | 10.8 | -2.3 | false | {"mass": "2", "velocity": "1", "entropy": "1", "thermal_cond": "-1", "permeability": "-2", "elem_charge": "-4"} |
6 | conductivity,elem_charge,entropy,mass,thermal_cond,velocity | m·v·S_e·κ·σ·e | constants,em,mechanics,thermo | m·v²·S_e·κ⁻¹·σ·e⁻² | m = k₀ · v⁻²·S_e⁻¹·κ·σ⁻¹·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "2", "entropy": "1", "thermal_cond": "-1", "conductivity": "1", "elem_charge": "-2"} |
6 | elem_charge,entropy,mass,resistivity,thermal_cond,velocity | m·v·S_e·κ·ρ_e·e | constants,em,mechanics,thermo | m·v²·S_e·κ⁻¹·ρ_e⁻¹·e⁻² | m = k₀ · v⁻²·S_e⁻¹·κ·ρ_e·e² | null | 1 | 4 | 2 | 8 | 7.7 | 0.8 | false | {"mass": "1", "velocity": "2", "entropy": "1", "thermal_cond": "-1", "resistivity": "-1", "elem_charge": "-2"} |
6 | concentration,entropy,mass,molar_mass,thermal_cond,velocity | m·v·S_e·κ·M_m·c_n | chemistry,mechanics,thermo | m²·v⁻³·S_e⁻³·κ³·M_m⁻²·c_n⁻² | m = k₀ · v³ᐟ²·S_e³ᐟ²·κ⁻³ᐟ²·M_m·c_n | null | 0 | 3 | 3 | 15 | 12.5 | -3.5 | false | {"mass": "2", "velocity": "-3", "entropy": "-3", "thermal_cond": "3", "molar_mass": "-2", "concentration": "-2"} |
6 | cat_activity,entropy,mass,molar_mass,thermal_cond,velocity | m·v·S_e·κ·M_m·z | chemistry,mechanics,thermo | m²·v·S_e⁻¹·κ·M_m⁻²·z⁻² | v = k₀ · m⁻²·S_e·κ⁻¹·M_m²·z² | null | 0 | 3 | 2 | 9 | 7.8 | 1.2 | false | {"mass": "2", "velocity": "1", "entropy": "-1", "thermal_cond": "1", "molar_mass": "-2", "cat_activity": "-2"} |
6 | concentration,entropy,mass,molar_energy,thermal_cond,velocity | m·v·S_e·κ·c_n·E_m | chemistry,mechanics,thermo | m²·v·S_e⁻³·κ³·c_n⁻²·E_m⁻² | v = k₀ · m⁻²·S_e³·κ⁻³·c_n²·E_m² | null | 0 | 3 | 3 | 13 | 11.1 | -2.1 | false | {"mass": "2", "velocity": "1", "entropy": "-3", "thermal_cond": "3", "concentration": "-2", "molar_energy": "-2"} |
6 | cat_activity,entropy,mass,molar_energy,thermal_cond,velocity | m·v·S_e·κ·E_m·z | chemistry,mechanics,thermo | m²·v⁵·S_e⁻¹·κ·E_m⁻²·z⁻² | S_e = k₀ · m²·v⁵·κ·E_m⁻²·z⁻² | null | 0 | 3 | 5 | 13 | 12.1 | -3.1 | false | {"mass": "2", "velocity": "5", "entropy": "-1", "thermal_cond": "1", "molar_energy": "-2", "cat_activity": "-2"} |
5 | entropy,grav_const,mass,thermal_cond,velocity | m·v·S_e·κ·G | constants,mechanics,thermo | m²·v⁻⁵·S_e⁻¹·κ·G² | S_e = k₀ · m²·v⁻⁵·κ·G² | null | 1 | 3 | 5 | 11 | 10.4 | -1.4 | false | {"mass": "2", "velocity": "-5", "entropy": "-1", "thermal_cond": "1", "grav_const": "2"} |
5 | entropy,mass,planck,thermal_cond,velocity | m·v·S_e·κ·h | constants,mechanics,thermo | m²·v³·S_e·κ⁻¹·h⁻² | S_e = k₀ · m⁻²·v⁻³·κ·h² | null | 1 | 3 | 3 | 9 | 8 | 1 | false | {"mass": "2", "velocity": "3", "entropy": "1", "thermal_cond": "-1", "planck": "-2"} |
4 | entropy,expansion,mass,velocity | m·v·S_e·β | mechanics,thermo | m·v²·S_e⁻¹·β | m = k₀ · v⁻²·S_e·β⁻¹ | null | 0 | 2 | 2 | 5 | 3.8 | 5.7 | true | {"mass": "1", "velocity": "2", "entropy": "-1", "expansion": "1"} |
7 | charge,concentration,entropy,gas_constant,mass,resistance,velocity | m·v·S_e·q·R·c_n·R | chemistry,em,mechanics,thermo | m³·v³·S_e·q⁻⁶·R⁻³·c_n⁻¹·R⁻¹ | S_e = k₀ · m⁻³·v⁻³·q⁶·R³·c_n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "velocity": "3", "entropy": "1", "charge": "-6", "resistance": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,mass,resistance,velocity | m·v·S_e·q·R·R·z | chemistry,em,mechanics,thermo | m·v²·S_e·q⁻²·R⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻²·S_e⁻¹·q²·R·R·z | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "velocity": "2", "entropy": "1", "charge": "-2", "resistance": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,inductance,mass,velocity | m·v·S_e·q·L_e·R·z | chemistry,em,mechanics,thermo | m·v²·S_e²·q⁻²·L_e⁻¹·R⁻²·z⁻² | m = k₀ · v⁻²·S_e⁻²·q²·L_e·R²·z² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "entropy": "2", "charge": "-2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | charge,concentration,efield,entropy,gas_constant,mass,velocity | m·v·S_e·q·E_f·c_n·R | chemistry,em,mechanics,thermo | m³·v⁶·S_e⁻¹·q⁻³·E_f⁻³·c_n·R | S_e = k₀ · m³·v⁶·q⁻³·E_f⁻³·c_n·R | null | 0 | 4 | 6 | 18 | 17 | -8.5 | false | {"mass": "3", "velocity": "6", "entropy": "-1", "charge": "-3", "efield": "-3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,charge,efield,entropy,gas_constant,mass,velocity | m·v·S_e·q·E_f·R·z | chemistry,em,mechanics,thermo | m·v·S_e⁻¹·q⁻¹·E_f⁻¹·R·z | m = k₀ · v⁻¹·S_e·q·E_f·R⁻¹·z⁻¹ | null | 0 | 4 | 1 | 7 | 6.8 | 1.7 | false | {"mass": "1", "velocity": "1", "entropy": "-1", "charge": "-1", "efield": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | bfield,charge,concentration,entropy,gas_constant,mass,velocity | m·v·S_e·q·B·c_n·R | chemistry,em,mechanics,thermo | m³·v³·S_e⁻¹·q⁻³·B⁻³·c_n·R | S_e = k₀ · m³·v³·q⁻³·B⁻³·c_n·R | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "3", "velocity": "3", "entropy": "-1", "charge": "-3", "bfield": "-3", "concentration": "1", "gas_constant": "1"} |
7 | charge,concentration,entropy,gas_constant,mag_flux,mass,velocity | m·v·S_e·q·Φ·c_n·R | chemistry,em,mechanics,thermo | m³·v³·S_e·q⁻³·Φ⁻³·c_n⁻¹·R⁻¹ | S_e = k₀ · m⁻³·v⁻³·q³·Φ³·c_n·R | null | 0 | 4 | 3 | 15 | 13.4 | -4.9 | false | {"mass": "3", "velocity": "3", "entropy": "1", "charge": "-3", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,mag_flux,mass,velocity | m·v·S_e·q·Φ·R·z | chemistry,em,mechanics,thermo | m·v²·S_e·q⁻¹·Φ⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻²·S_e⁻¹·q·Φ·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "entropy": "1", "charge": "-1", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,entropy,gas_constant,mass,permittivity,velocity | m·v·S_e·q·ε·c_n·R | chemistry,em,mechanics,thermo | m³·v⁶·S_e·q⁻⁶·ε³·c_n⁻¹·R⁻¹ | S_e = k₀ · m⁻³·v⁻⁶·q⁶·ε⁻³·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "entropy": "1", "charge": "-6", "permittivity": "3", "concentration": "-1", "gas_constant": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,mass,permittivity,velocity | m·v·S_e·q·ε·R·z | chemistry,em,mechanics,thermo | m·v³·S_e·q⁻²·ε·R⁻¹·z⁻¹ | m = k₀ · v⁻³·S_e⁻¹·q²·ε⁻¹·R·z | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "velocity": "3", "entropy": "1", "charge": "-2", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | cat_activity,charge,entropy,gas_constant,mass,permeability,velocity | m·v·S_e·q·μ₀·R·z | chemistry,em,mechanics,thermo | m·v·S_e·q⁻²·μ₀⁻¹·R⁻¹·z⁻¹ | m = k₀ · v⁻¹·S_e⁻¹·q²·μ₀·R·z | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "1", "entropy": "1", "charge": "-2", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1"} |
7 | charge,concentration,conductivity,entropy,gas_constant,mass,velocity | m·v·S_e·q·σ·c_n·R | chemistry,em,mechanics,thermo | m³·v³·S_e²·q⁻⁶·σ³·c_n⁻²·R⁻² | S_e = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·q³·σ⁻³ᐟ²·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "3", "entropy": "2", "charge": "-6", "conductivity": "3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,charge,conductivity,entropy,gas_constant,mass,velocity | m·v·S_e·q·σ·R·z | chemistry,em,mechanics,thermo | m·v³·S_e²·q⁻²·σ·R⁻²·z⁻² | m = k₀ · v⁻³·S_e⁻²·q²·σ⁻¹·R²·z² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "velocity": "3", "entropy": "2", "charge": "-2", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | charge,concentration,entropy,gas_constant,mass,resistivity,velocity | m·v·S_e·q·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m³·v³·S_e²·q⁻⁶·ρ_e⁻³·c_n⁻²·R⁻² | S_e = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·q³·ρ_e³ᐟ²·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "3", "entropy": "2", "charge": "-6", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2"} |
7 | cat_activity,charge,entropy,gas_constant,mass,resistivity,velocity | m·v·S_e·q·ρ_e·R·z | chemistry,em,mechanics,thermo | m·v³·S_e²·q⁻²·ρ_e⁻¹·R⁻²·z⁻² | m = k₀ · v⁻³·S_e⁻²·q²·ρ_e·R²·z² | null | 0 | 4 | 3 | 13 | 12 | -3.5 | false | {"mass": "1", "velocity": "3", "entropy": "2", "charge": "-2", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2"} |
7 | concentration,current,entropy,gas_constant,mass,velocity,voltage | m·v·S_e·i·U·c_n·R | chemistry,em,mechanics,thermo | m³·v⁹·S_e⁻¹·i⁻³·U⁻³·c_n·R | S_e = k₀ · m³·v⁹·i⁻³·U⁻³·c_n·R | null | 0 | 4 | 9 | 21 | 20.6 | -12.1 | false | {"mass": "3", "velocity": "9", "entropy": "-1", "current": "-3", "voltage": "-3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,current,entropy,gas_constant,mass,velocity,voltage | m·v·S_e·i·U·R·z | chemistry,em,mechanics,thermo | m·v²·S_e⁻¹·i⁻¹·U⁻¹·R·z | m = k₀ · v⁻²·S_e·i·U·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "2", "entropy": "-1", "current": "-1", "voltage": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,current,entropy,gas_constant,mass,resistance,velocity | m·v·S_e·i·R·c_n·R | chemistry,em,mechanics,thermo | m³·v⁹·S_e⁻¹·i⁻⁶·R⁻³·c_n·R | S_e = k₀ · m³·v⁹·i⁻⁶·R⁻³·c_n·R | null | 0 | 4 | 9 | 24 | 22.7 | -14.2 | false | {"mass": "3", "velocity": "9", "entropy": "-1", "current": "-6", "resistance": "-3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,current,entropy,gas_constant,mass,resistance,velocity | m·v·S_e·i·R·R·z | chemistry,em,mechanics,thermo | m·v²·S_e⁻¹·i⁻²·R⁻¹·R·z | m = k₀ · v⁻²·S_e·i²·R·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "velocity": "2", "entropy": "-1", "current": "-2", "resistance": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | capacitance,concentration,current,entropy,gas_constant,mass,velocity | m·v·S_e·i·C_e·c_n·R | chemistry,em,mechanics,thermo | m³·v¹²·S_e⁻²·i⁻⁶·C_e³·c_n²·R² | S_e = k₀ · m³ᐟ²·v⁶·i⁻³·C_e³ᐟ²·c_n·R | null | 0 | 4 | 12 | 30 | 28.4 | -19.9 | false | {"mass": "3", "velocity": "12", "entropy": "-2", "current": "-6", "capacitance": "3", "concentration": "2", "gas_constant": "2"} |
7 | capacitance,cat_activity,current,entropy,gas_constant,mass,velocity | m·v·S_e·i·C_e·R·z | chemistry,em,mechanics,thermo | m·v²·S_e⁻²·i⁻²·C_e·R²·z² | m = k₀ · v⁻²·S_e²·i²·C_e⁻¹·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "entropy": "-2", "current": "-2", "capacitance": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | concentration,current,efield,entropy,gas_constant,mass,velocity | m·v·S_e·i·E_f·c_n·R | chemistry,em,mechanics,thermo | m³·v⁹·S_e⁻²·i⁻³·E_f⁻³·c_n²·R² | S_e = k₀ · m³ᐟ²·v⁹ᐟ²·i⁻³ᐟ²·E_f⁻³ᐟ²·c_n·R | null | 0 | 4 | 9 | 24 | 22.7 | -14.2 | false | {"mass": "3", "velocity": "9", "entropy": "-2", "current": "-3", "efield": "-3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,current,efield,entropy,gas_constant,mass,velocity | m·v·S_e·i·E_f·R·z | chemistry,em,mechanics,thermo | m·v·S_e⁻²·i⁻¹·E_f⁻¹·R²·z² | m = k₀ · v⁻¹·S_e²·i·E_f·R⁻²·z⁻² | null | 0 | 4 | 2 | 10 | 9.4 | -0.9 | false | {"mass": "1", "velocity": "1", "entropy": "-2", "current": "-1", "efield": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | bfield,concentration,current,entropy,gas_constant,mass,velocity | m·v·S_e·i·B·c_n·R | chemistry,em,mechanics,thermo | m³·v⁶·S_e⁻²·i⁻³·B⁻³·c_n²·R² | S_e = k₀ · m³ᐟ²·v³·i⁻³ᐟ²·B⁻³ᐟ²·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "entropy": "-2", "current": "-3", "bfield": "-3", "concentration": "2", "gas_constant": "2"} |
7 | concentration,current,entropy,gas_constant,mass,permittivity,velocity | m·v·S_e·i·ε·c_n·R | chemistry,em,mechanics,thermo | m³·v¹²·S_e⁻¹·i⁻⁶·ε³·c_n·R | S_e = k₀ · m³·v¹²·i⁻⁶·ε³·c_n·R | null | 0 | 4 | 12 | 27 | 26.3 | -17.8 | false | {"mass": "3", "velocity": "12", "entropy": "-1", "current": "-6", "permittivity": "3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,current,entropy,gas_constant,mass,permittivity,velocity | m·v·S_e·i·ε·R·z | chemistry,em,mechanics,thermo | m·v³·S_e⁻¹·i⁻²·ε·R·z | m = k₀ · v⁻³·S_e·i²·ε⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "velocity": "3", "entropy": "-1", "current": "-2", "permittivity": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,current,entropy,gas_constant,mass,permeability,velocity | m·v·S_e·i·μ₀·c_n·R | chemistry,em,mechanics,thermo | m³·v⁶·S_e⁻¹·i⁻⁶·μ₀⁻³·c_n·R | S_e = k₀ · m³·v⁶·i⁻⁶·μ₀⁻³·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "entropy": "-1", "current": "-6", "permeability": "-3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,current,entropy,gas_constant,mass,permeability,velocity | m·v·S_e·i·μ₀·R·z | chemistry,em,mechanics,thermo | m·v·S_e⁻¹·i⁻²·μ₀⁻¹·R·z | m = k₀ · v⁻¹·S_e·i²·μ₀·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "1", "entropy": "-1", "current": "-2", "permeability": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,entropy,gas_constant,mass,resistance,velocity,voltage | m·v·S_e·U·R·c_n·R | chemistry,em,mechanics,thermo | m³·v⁹·S_e⁻¹·U⁻⁶·R³·c_n·R | S_e = k₀ · m³·v⁹·U⁻⁶·R³·c_n·R | null | 0 | 4 | 9 | 24 | 22.7 | -14.2 | false | {"mass": "3", "velocity": "9", "entropy": "-1", "voltage": "-6", "resistance": "3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,entropy,gas_constant,mass,resistance,velocity,voltage | m·v·S_e·U·R·R·z | chemistry,em,mechanics,thermo | m·v²·S_e⁻¹·U⁻²·R·R·z | m = k₀ · v⁻²·S_e·U²·R⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 9 | 8.7 | -0.2 | false | {"mass": "1", "velocity": "2", "entropy": "-1", "voltage": "-2", "resistance": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,entropy,gas_constant,inductance,mass,velocity,voltage | m·v·S_e·U·L_e·c_n·R | chemistry,em,mechanics,thermo | m³·v¹²·S_e⁻²·U⁻⁶·L_e³·c_n²·R² | S_e = k₀ · m³ᐟ²·v⁶·U⁻³·L_e³ᐟ²·c_n·R | null | 0 | 4 | 12 | 30 | 28.4 | -19.9 | false | {"mass": "3", "velocity": "12", "entropy": "-2", "voltage": "-6", "inductance": "3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,entropy,gas_constant,inductance,mass,velocity,voltage | m·v·S_e·U·L_e·R·z | chemistry,em,mechanics,thermo | m·v²·S_e⁻²·U⁻²·L_e·R²·z² | m = k₀ · v⁻²·S_e²·U²·L_e⁻¹·R⁻²·z⁻² | null | 0 | 4 | 2 | 12 | 10.8 | -2.3 | false | {"mass": "1", "velocity": "2", "entropy": "-2", "voltage": "-2", "inductance": "1", "gas_constant": "2", "cat_activity": "2"} |
7 | concentration,entropy,gas_constant,mass,permittivity,velocity,voltage | m·v·S_e·U·ε·c_n·R | chemistry,em,mechanics,thermo | m³·v⁶·S_e⁻¹·U⁻⁶·ε⁻³·c_n·R | S_e = k₀ · m³·v⁶·U⁻⁶·ε⁻³·c_n·R | null | 0 | 4 | 6 | 21 | 19.1 | -10.6 | false | {"mass": "3", "velocity": "6", "entropy": "-1", "voltage": "-6", "permittivity": "-3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,entropy,gas_constant,mass,permittivity,velocity,voltage | m·v·S_e·U·ε·R·z | chemistry,em,mechanics,thermo | m·v·S_e⁻¹·U⁻²·ε⁻¹·R·z | m = k₀ · v⁻¹·S_e·U²·ε·R⁻¹·z⁻¹ | null | 0 | 4 | 2 | 8 | 8 | 0.5 | false | {"mass": "1", "velocity": "1", "entropy": "-1", "voltage": "-2", "permittivity": "-1", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,entropy,gas_constant,mass,permeability,velocity,voltage | m·v·S_e·U·μ₀·c_n·R | chemistry,em,mechanics,thermo | m³·v¹²·S_e⁻¹·U⁻⁶·μ₀³·c_n·R | S_e = k₀ · m³·v¹²·U⁻⁶·μ₀³·c_n·R | null | 0 | 4 | 12 | 27 | 26.3 | -17.8 | false | {"mass": "3", "velocity": "12", "entropy": "-1", "voltage": "-6", "permeability": "3", "concentration": "1", "gas_constant": "1"} |
7 | cat_activity,entropy,gas_constant,mass,permeability,velocity,voltage | m·v·S_e·U·μ₀·R·z | chemistry,em,mechanics,thermo | m·v³·S_e⁻¹·U⁻²·μ₀·R·z | m = k₀ · v⁻³·S_e·U²·μ₀⁻¹·R⁻¹·z⁻¹ | null | 0 | 4 | 3 | 10 | 9.9 | -1.4 | false | {"mass": "1", "velocity": "3", "entropy": "-1", "voltage": "-2", "permeability": "1", "gas_constant": "1", "cat_activity": "1"} |
7 | concentration,conductivity,entropy,gas_constant,mass,velocity,voltage | m·v·S_e·U·σ·c_n·R | chemistry,em,mechanics,thermo | m³·v⁹·S_e⁻²·U⁻⁶·σ⁻³·c_n²·R² | S_e = k₀ · m³ᐟ²·v⁹ᐟ²·U⁻³·σ⁻³ᐟ²·c_n·R | null | 0 | 4 | 9 | 27 | 24.8 | -16.3 | false | {"mass": "3", "velocity": "9", "entropy": "-2", "voltage": "-6", "conductivity": "-3", "concentration": "2", "gas_constant": "2"} |
7 | cat_activity,conductivity,entropy,gas_constant,mass,velocity,voltage | m·v·S_e·U·σ·R·z | chemistry,em,mechanics,thermo | m·v·S_e⁻²·U⁻²·σ⁻¹·R²·z² | m = k₀ · v⁻¹·S_e²·U²·σ·R⁻²·z⁻² | null | 0 | 4 | 2 | 11 | 10.1 | -1.6 | false | {"mass": "1", "velocity": "1", "entropy": "-2", "voltage": "-2", "conductivity": "-1", "gas_constant": "2", "cat_activity": "2"} |
7 | concentration,entropy,gas_constant,mass,resistivity,velocity,voltage | m·v·S_e·U·ρ_e·c_n·R | chemistry,em,mechanics,thermo | m³·v⁹·S_e⁻²·U⁻⁶·ρ_e³·c_n²·R² | S_e = k₀ · m³ᐟ²·v⁹ᐟ²·U⁻³·ρ_e³ᐟ²·c_n·R | null | 0 | 4 | 9 | 27 | 24.8 | -16.3 | false | {"mass": "3", "velocity": "9", "entropy": "-2", "voltage": "-6", "resistivity": "3", "concentration": "2", "gas_constant": "2"} |
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