Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
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
7
avogadro,conductivity,elem_charge,gas_constant,mass,thermal_cond,velocity
m·v·κ·σ·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·v²·κ⁻¹·σ·R·e⁻²·N_A⁻¹
m = k₀ · v⁻²·κ·σ⁻¹·R⁻¹·e²·N_A
null
2
5
2
9
10.3
-3.8
false
{"mass": "1", "velocity": "2", "thermal_cond": "-1", "conductivity": "1", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"}
6
boltzmann,conductivity,elem_charge,mass,thermal_cond,velocity
m·v·κ·σ·k_B·e
constants,em,mechanics,thermo
m·v²·κ⁻¹·σ·k_B·e⁻²
m = k₀ · v⁻²·κ·σ⁻¹·k_B⁻¹·e²
null
2
4
2
8
8.7
-1.7
false
{"mass": "1", "velocity": "2", "thermal_cond": "-1", "conductivity": "1", "boltzmann": "1", "elem_charge": "-2"}
7
amount,elem_charge,gas_constant,mass,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·n·R·e
chemistry,constants,em,mechanics,thermo
m·v²·κ⁻¹·ρ_e⁻¹·n·R·e⁻²
m = k₀ · v⁻²·κ·ρ_e·n⁻¹·R⁻¹·e²
null
1
5
2
9
9.3
-1.3
false
{"mass": "1", "velocity": "2", "thermal_cond": "-1", "resistivity": "-1", "amount": "1", "gas_constant": "1", "elem_charge": "-2"}
7
elem_charge,gas_constant,mass,molar_mass,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·v²·κ⁻¹·ρ_e⁻¹·M_m⁻¹·R·e⁻²
κ = k₀ · m²·v²·ρ_e⁻¹·M_m⁻¹·R·e⁻²
null
1
5
2
10
10
-2
false
{"mass": "2", "velocity": "2", "thermal_cond": "-1", "resistivity": "-1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"}
7
concentration,elem_charge,gas_constant,mass,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·c_n·R·e
chemistry,constants,em,mechanics,thermo
m·v⁻¹·κ²·ρ_e⁻¹·c_n⁻²·R⁻²·e⁻²
m = k₀ · v·κ⁻²·ρ_e·c_n²·R²·e²
null
1
5
2
11
10.7
-2.7
false
{"mass": "1", "velocity": "-1", "thermal_cond": "2", "resistivity": "-1", "concentration": "-2", "gas_constant": "-2", "elem_charge": "-2"}
7
elem_charge,gas_constant,mass,molar_energy,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·E_m·R·e
chemistry,constants,em,mechanics,thermo
m²·v⁴·κ⁻¹·ρ_e⁻¹·E_m⁻¹·R·e⁻²
κ = k₀ · m²·v⁴·ρ_e⁻¹·E_m⁻¹·R·e⁻²
null
1
5
4
12
12.4
-4.4
false
{"mass": "2", "velocity": "4", "thermal_cond": "-1", "resistivity": "-1", "molar_energy": "-1", "gas_constant": "1", "elem_charge": "-2"}
7
cat_activity,elem_charge,gas_constant,mass,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·R·z·e
chemistry,constants,em,mechanics,thermo
m·v·κ⁻²·ρ_e⁻¹·R²·z²·e⁻²
m = k₀ · v⁻¹·κ²·ρ_e·R⁻²·z⁻²·e²
null
1
5
2
11
10.7
-2.7
false
{"mass": "1", "velocity": "1", "thermal_cond": "-2", "resistivity": "-1", "gas_constant": "2", "cat_activity": "2", "elem_charge": "-2"}
7
avogadro,elem_charge,gas_constant,mass,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·v²·κ⁻¹·ρ_e⁻¹·R·e⁻²·N_A⁻¹
m = k₀ · v⁻²·κ·ρ_e·R⁻¹·e²·N_A
null
2
5
2
9
10.3
-3.8
false
{"mass": "1", "velocity": "2", "thermal_cond": "-1", "resistivity": "-1", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"}
6
boltzmann,elem_charge,mass,resistivity,thermal_cond,velocity
m·v·κ·ρ_e·k_B·e
constants,em,mechanics,thermo
m·v²·κ⁻¹·ρ_e⁻¹·k_B·e⁻²
m = k₀ · v⁻²·κ·ρ_e·k_B⁻¹·e²
null
2
4
2
8
8.7
-1.7
false
{"mass": "1", "velocity": "2", "thermal_cond": "-1", "resistivity": "-1", "boltzmann": "1", "elem_charge": "-2"}
6
amount,gas_constant,grav_const,mass,thermal_cond,velocity
m·v·κ·n·R·G
chemistry,constants,mechanics,thermo
m²·v⁻⁵·κ·n⁻¹·R⁻¹·G²
κ = k₀ · m⁻²·v⁵·n·R·G⁻²
null
1
4
5
12
12
-3.5
false
{"mass": "2", "velocity": "-5", "thermal_cond": "1", "amount": "-1", "gas_constant": "-1", "grav_const": "2"}
6
amount,gas_constant,mass,planck,thermal_cond,velocity
m·v·κ·n·R·h
chemistry,constants,mechanics,thermo
m²·v³·κ⁻¹·n·R·h⁻²
κ = k₀ · m²·v³·n·R·h⁻²
null
1
4
3
10
9.6
-1.1
false
{"mass": "2", "velocity": "3", "thermal_cond": "-1", "amount": "1", "gas_constant": "1", "planck": "-2"}
6
concentration,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·c_n·R
chemistry,mechanics,thermo
m·v³·κ⁻³·M_m⁻¹·c_n²·R³
m = k₀ · v⁻³·κ³·M_m·c_n⁻²·R⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "velocity": "3", "thermal_cond": "-3", "molar_mass": "-1", "concentration": "2", "gas_constant": "3"}
6
boltzmann,concentration,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·c_n·k_B
chemistry,constants,mechanics,thermo
m²·v⁻³·κ³·M_m⁻²·c_n⁻²·k_B⁻³
m = k₀ · v³ᐟ²·κ⁻³ᐟ²·M_m·c_n·k_B³ᐟ²
null
1
4
3
15
13.1
-4.6
false
{"mass": "2", "velocity": "-3", "thermal_cond": "3", "molar_mass": "-2", "concentration": "-2", "boltzmann": "-3"}
6
cat_activity,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·R·z
chemistry,mechanics,thermo
m·v·κ·M_m⁻¹·R⁻¹·z⁻²
m = k₀ · v⁻¹·κ⁻¹·M_m·R·z²
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "thermal_cond": "1", "molar_mass": "-1", "gas_constant": "-1", "cat_activity": "-2"}
7
gas_constant,illuminance,lum_intensity,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·R·I_v·E_v
chemistry,mechanics,photometry,thermo
m·v·κ⁻¹·M_m⁻¹·R·I_v⁻¹·E_v
m = k₀ · v⁻¹·κ·M_m·R⁻¹·I_v·E_v⁻¹
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "velocity": "1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1", "lum_intensity": "-1", "illuminance": "1"}
7
gas_constant,lum_intensity,luminance,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·R·I_v·L_v
chemistry,mechanics,photometry,thermo
m·v·κ⁻¹·M_m⁻¹·R·I_v⁻¹·L_v
m = k₀ · v⁻¹·κ·M_m·R⁻¹·I_v·L_v⁻¹
null
0
4
1
7
6.8
1.7
false
{"mass": "1", "velocity": "1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1", "lum_intensity": "-1", "luminance": "1"}
6
gas_constant,grav_const,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·R·G
chemistry,constants,mechanics,thermo
m·v⁻⁵·κ·M_m·R⁻¹·G²
m = k₀ · v⁵·κ⁻¹·M_m⁻¹·R·G⁻²
null
1
4
5
11
11.3
-2.8
false
{"mass": "1", "velocity": "-5", "thermal_cond": "1", "molar_mass": "1", "gas_constant": "-1", "grav_const": "2"}
6
gas_constant,mass,molar_mass,planck,thermal_cond,velocity
m·v·κ·M_m·R·h
chemistry,constants,mechanics,thermo
m³·v³·κ⁻¹·M_m⁻¹·R·h⁻²
κ = k₀ · m³·v³·M_m⁻¹·R·h⁻²
null
1
4
3
11
10.3
-1.8
false
{"mass": "3", "velocity": "3", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1", "planck": "-2"}
6
boltzmann,cat_activity,mass,molar_mass,thermal_cond,velocity
m·v·κ·M_m·z·k_B
chemistry,constants,mechanics,thermo
m²·v·κ·M_m⁻²·z⁻²·k_B⁻¹
v = k₀ · m⁻²·κ⁻¹·M_m²·z²·k_B
null
1
4
2
9
8.4
0.1
false
{"mass": "2", "velocity": "1", "thermal_cond": "1", "molar_mass": "-2", "cat_activity": "-2", "boltzmann": "-1"}
6
concentration,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·κ·c_n·E_m·R
chemistry,mechanics,thermo
m·v⁵·κ⁻³·c_n²·E_m⁻¹·R³
m = k₀ · v⁻⁵·κ³·c_n⁻²·E_m·R⁻³
null
0
3
5
15
13.5
-4.5
false
{"mass": "1", "velocity": "5", "thermal_cond": "-3", "concentration": "2", "molar_energy": "-1", "gas_constant": "3"}
6
boltzmann,concentration,mass,molar_energy,thermal_cond,velocity
m·v·κ·c_n·E_m·k_B
chemistry,constants,mechanics,thermo
m²·v·κ³·c_n⁻²·E_m⁻²·k_B⁻³
v = k₀ · m⁻²·κ⁻³·c_n²·E_m²·k_B³
null
1
4
3
13
11.7
-3.2
false
{"mass": "2", "velocity": "1", "thermal_cond": "3", "concentration": "-2", "molar_energy": "-2", "boltzmann": "-3"}
6
concentration,gas_constant,grav_const,mass,thermal_cond,velocity
m·v·κ·c_n·R·G
chemistry,constants,mechanics,thermo
m·v⁻¹·κ⁻¹·c_n·R·G
m = k₀ · v·κ·c_n⁻¹·R⁻¹·G⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "velocity": "-1", "thermal_cond": "-1", "concentration": "1", "gas_constant": "1", "grav_const": "1"}
6
cat_activity,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·κ·E_m·R·z
chemistry,mechanics,thermo
m·v³·κ·E_m⁻¹·R⁻¹·z⁻²
m = k₀ · v⁻³·κ⁻¹·E_m·R·z²
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "thermal_cond": "1", "molar_energy": "-1", "gas_constant": "-1", "cat_activity": "-2"}
7
gas_constant,illuminance,lum_intensity,mass,molar_energy,thermal_cond,velocity
m·v·κ·E_m·R·I_v·E_v
chemistry,mechanics,photometry,thermo
m·v³·κ⁻¹·E_m⁻¹·R·I_v⁻¹·E_v
m = k₀ · v⁻³·κ·E_m·R⁻¹·I_v·E_v⁻¹
null
0
4
3
9
9.2
-0.7
false
{"mass": "1", "velocity": "3", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1", "lum_intensity": "-1", "illuminance": "1"}
7
gas_constant,lum_intensity,luminance,mass,molar_energy,thermal_cond,velocity
m·v·κ·E_m·R·I_v·L_v
chemistry,mechanics,photometry,thermo
m·v³·κ⁻¹·E_m⁻¹·R·I_v⁻¹·L_v
m = k₀ · v⁻³·κ·E_m·R⁻¹·I_v·L_v⁻¹
null
0
4
3
9
9.2
-0.7
false
{"mass": "1", "velocity": "3", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1", "lum_intensity": "-1", "luminance": "1"}
6
gas_constant,grav_const,mass,molar_energy,thermal_cond,velocity
m·v·κ·E_m·R·G
chemistry,constants,mechanics,thermo
m·v⁻⁷·κ·E_m·R⁻¹·G²
m = k₀ · v⁷·κ⁻¹·E_m⁻¹·R·G⁻²
null
1
4
7
13
13.7
-5.2
false
{"mass": "1", "velocity": "-7", "thermal_cond": "1", "molar_energy": "1", "gas_constant": "-1", "grav_const": "2"}
6
gas_constant,mass,molar_energy,planck,thermal_cond,velocity
m·v·κ·E_m·R·h
chemistry,constants,mechanics,thermo
m³·v⁵·κ⁻¹·E_m⁻¹·R·h⁻²
κ = k₀ · m³·v⁵·E_m⁻¹·R·h⁻²
null
1
4
5
13
12.7
-4.2
false
{"mass": "3", "velocity": "5", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1", "planck": "-2"}
6
boltzmann,cat_activity,mass,molar_energy,thermal_cond,velocity
m·v·κ·E_m·z·k_B
chemistry,constants,mechanics,thermo
m²·v⁵·κ·E_m⁻²·z⁻²·k_B⁻¹
κ = k₀ · m⁻²·v⁻⁵·E_m²·z²·k_B
null
1
4
5
13
12.7
-4.2
false
{"mass": "2", "velocity": "5", "thermal_cond": "1", "molar_energy": "-2", "cat_activity": "-2", "boltzmann": "-1"}
6
cat_activity,gas_constant,grav_const,mass,thermal_cond,velocity
m·v·κ·R·z·G
chemistry,constants,mechanics,thermo
m·v⁻²·κ·R⁻¹·z⁻¹·G
m = k₀ · v²·κ⁻¹·R·z·G⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "-2", "thermal_cond": "1", "gas_constant": "-1", "cat_activity": "-1", "grav_const": "1"}
6
cat_activity,gas_constant,mass,planck,thermal_cond,velocity
m·v·κ·R·z·h
chemistry,constants,mechanics,thermo
m·v·κ⁻¹·R·z·h⁻¹
m = k₀ · v⁻¹·κ·R⁻¹·z⁻¹·h
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "velocity": "1", "thermal_cond": "-1", "gas_constant": "1", "cat_activity": "1", "planck": "-1"}
6
avogadro,gas_constant,grav_const,mass,thermal_cond,velocity
m·v·κ·R·G·N_A
chemistry,constants,mechanics,thermo
m²·v⁻⁵·κ·R⁻¹·G²·N_A
κ = k₀ · m⁻²·v⁵·R·G⁻²·N_A⁻¹
null
2
4
5
12
13
-6
false
{"mass": "2", "velocity": "-5", "thermal_cond": "1", "gas_constant": "-1", "grav_const": "2", "avogadro": "1"}
6
avogadro,gas_constant,mass,planck,thermal_cond,velocity
m·v·κ·R·h·N_A
chemistry,constants,mechanics,thermo
m²·v³·κ⁻¹·R·h⁻²·N_A⁻¹
κ = k₀ · m²·v³·R·h⁻²·N_A⁻¹
null
2
4
3
10
10.6
-3.6
false
{"mass": "2", "velocity": "3", "thermal_cond": "-1", "gas_constant": "1", "planck": "-2", "avogadro": "-1"}
5
boltzmann,grav_const,mass,thermal_cond,velocity
m·v·κ·G·k_B
constants,mechanics,thermo
m²·v⁻⁵·κ·G²·k_B⁻¹
κ = k₀ · m⁻²·v⁵·G⁻²·k_B
null
2
3
5
11
11.4
-3.9
false
{"mass": "2", "velocity": "-5", "thermal_cond": "1", "grav_const": "2", "boltzmann": "-1"}
5
boltzmann,mass,planck,thermal_cond,velocity
m·v·κ·h·k_B
constants,mechanics,thermo
m²·v³·κ⁻¹·h⁻²·k_B
κ = k₀ · m²·v³·h⁻²·k_B
null
2
3
3
9
9
-1.5
false
{"mass": "2", "velocity": "3", "thermal_cond": "-1", "planck": "-2", "boltzmann": "1"}
6
concentration,expansion,gas_constant,mass,thermal_diff,velocity
m·v·α·β·c_n·R
chemistry,mechanics,thermo
m·v⁵·α⁻³·β·c_n⁻¹·R⁻¹
m = k₀ · v⁻⁵·α³·β⁻¹·c_n·R
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "velocity": "5", "thermal_diff": "-3", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,mass,thermal_diff,velocity
m·v·α·β·R·z
chemistry,mechanics,thermo
m·v⁴·α⁻¹·β·R⁻¹·z⁻¹
m = k₀ · v⁻⁴·α·β⁻¹·R·z
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "velocity": "4", "thermal_diff": "-1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
charge,inductance,mass,thermal_diff,velocity
m·v·α·q·L_e
em,mechanics,thermo
m·v⁻²·α²·q⁻²·L_e⁻¹
m = k₀ · v²·α⁻²·q²·L_e
null
0
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "-2", "thermal_diff": "2", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,thermal_diff,velocity
m·v·α·q·E_f
em,mechanics,thermo
m·v³·α⁻¹·q⁻¹·E_f⁻¹
m = k₀ · v⁻³·α·q·E_f
null
0
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "3", "thermal_diff": "-1", "charge": "-1", "efield": "-1"}
5
bfield,charge,mass,thermal_diff,velocity
m·v·α·q·B
em,mechanics,thermo
m·v²·α⁻¹·q⁻¹·B⁻¹
m = k₀ · v⁻²·α·q·B
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "thermal_diff": "-1", "charge": "-1", "bfield": "-1"}
5
charge,mass,permittivity,thermal_diff,velocity
m·v·α·q·ε
em,mechanics,thermo
m·v·α·q⁻²·ε
m = k₀ · v⁻¹·α⁻¹·q²·ε⁻¹
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "thermal_diff": "1", "charge": "-2", "permittivity": "1"}
5
charge,mass,permeability,thermal_diff,velocity
m·v·α·q·μ₀
em,mechanics,thermo
m·v⁻¹·α·q⁻²·μ₀⁻¹
m = k₀ · v·α⁻¹·q²·μ₀
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-1", "thermal_diff": "1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,mass,thermal_diff,velocity
m·v·α·q·σ
em,mechanics,thermo
m·v⁻¹·α²·q⁻²·σ
m = k₀ · v·α⁻²·q²·σ⁻¹
null
0
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "-1", "thermal_diff": "2", "charge": "-2", "conductivity": "1"}
5
charge,mass,resistivity,thermal_diff,velocity
m·v·α·q·ρ_e
em,mechanics,thermo
m·v⁻¹·α²·q⁻²·ρ_e⁻¹
m = k₀ · v·α⁻²·q²·ρ_e
null
0
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "-1", "thermal_diff": "2", "charge": "-2", "resistivity": "-1"}
5
current,mass,thermal_diff,velocity,voltage
m·v·α·i·U
em,mechanics,thermo
m·v⁴·α⁻¹·i⁻¹·U⁻¹
m = k₀ · v⁻⁴·α·i·U
null
0
3
4
8
7.8
1.2
false
{"mass": "1", "velocity": "4", "thermal_diff": "-1", "current": "-1", "voltage": "-1"}
5
current,mass,resistance,thermal_diff,velocity
m·v·α·i·R
em,mechanics,thermo
m·v⁴·α⁻¹·i⁻²·R⁻¹
m = k₀ · v⁻⁴·α·i²·R
null
0
3
4
9
8.5
0.5
false
{"mass": "1", "velocity": "4", "thermal_diff": "-1", "current": "-2", "resistance": "-1"}
5
capacitance,current,mass,thermal_diff,velocity
m·v·α·i·C_e
em,mechanics,thermo
m·v⁶·α⁻²·i⁻²·C_e
m = k₀ · v⁻⁶·α²·i²·C_e⁻¹
null
0
3
6
12
11.6
-2.6
false
{"mass": "1", "velocity": "6", "thermal_diff": "-2", "current": "-2", "capacitance": "1"}
5
current,efield,mass,thermal_diff,velocity
m·v·α·i·E_f
em,mechanics,thermo
m·v⁵·α⁻²·i⁻¹·E_f⁻¹
m = k₀ · v⁻⁵·α²·i·E_f
null
0
3
5
10
9.7
-0.7
false
{"mass": "1", "velocity": "5", "thermal_diff": "-2", "current": "-1", "efield": "-1"}
5
bfield,current,mass,thermal_diff,velocity
m·v·α·i·B
em,mechanics,thermo
m·v⁴·α⁻²·i⁻¹·B⁻¹
m = k₀ · v⁻⁴·α²·i·B
null
0
3
4
9
8.5
0.5
false
{"mass": "1", "velocity": "4", "thermal_diff": "-2", "current": "-1", "bfield": "-1"}
5
current,mass,permittivity,thermal_diff,velocity
m·v·α·i·ε
em,mechanics,thermo
m·v⁵·α⁻¹·i⁻²·ε
m = k₀ · v⁻⁵·α·i²·ε⁻¹
null
0
3
5
10
9.7
-0.7
false
{"mass": "1", "velocity": "5", "thermal_diff": "-1", "current": "-2", "permittivity": "1"}
5
current,mass,permeability,thermal_diff,velocity
m·v·α·i·μ₀
em,mechanics,thermo
m·v³·α⁻¹·i⁻²·μ₀⁻¹
m = k₀ · v⁻³·α·i²·μ₀
null
0
3
3
8
7.3
1.7
false
{"mass": "1", "velocity": "3", "thermal_diff": "-1", "current": "-2", "permeability": "-1"}
5
mass,resistance,thermal_diff,velocity,voltage
m·v·α·U·R
em,mechanics,thermo
m·v⁴·α⁻¹·U⁻²·R
m = k₀ · v⁻⁴·α·U²·R⁻¹
null
0
3
4
9
8.5
0.5
false
{"mass": "1", "velocity": "4", "thermal_diff": "-1", "voltage": "-2", "resistance": "1"}
5
inductance,mass,thermal_diff,velocity,voltage
m·v·α·U·L_e
em,mechanics,thermo
m·v⁶·α⁻²·U⁻²·L_e
m = k₀ · v⁻⁶·α²·U²·L_e⁻¹
null
0
3
6
12
11.6
-2.6
false
{"mass": "1", "velocity": "6", "thermal_diff": "-2", "voltage": "-2", "inductance": "1"}
5
mass,permittivity,thermal_diff,velocity,voltage
m·v·α·U·ε
em,mechanics,thermo
m·v³·α⁻¹·U⁻²·ε⁻¹
m = k₀ · v⁻³·α·U²·ε
null
0
3
3
8
7.3
1.7
false
{"mass": "1", "velocity": "3", "thermal_diff": "-1", "voltage": "-2", "permittivity": "-1"}
5
mass,permeability,thermal_diff,velocity,voltage
m·v·α·U·μ₀
em,mechanics,thermo
m·v⁵·α⁻¹·U⁻²·μ₀
m = k₀ · v⁻⁵·α·U²·μ₀⁻¹
null
0
3
5
10
9.7
-0.7
false
{"mass": "1", "velocity": "5", "thermal_diff": "-1", "voltage": "-2", "permeability": "1"}
5
conductivity,mass,thermal_diff,velocity,voltage
m·v·α·U·σ
em,mechanics,thermo
m·v⁵·α⁻²·U⁻²·σ⁻¹
m = k₀ · v⁻⁵·α²·U²·σ
null
0
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "thermal_diff": "-2", "voltage": "-2", "conductivity": "-1"}
5
mass,resistivity,thermal_diff,velocity,voltage
m·v·α·U·ρ_e
em,mechanics,thermo
m·v⁵·α⁻²·U⁻²·ρ_e
m = k₀ · v⁻⁵·α²·U²·ρ_e⁻¹
null
0
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "thermal_diff": "-2", "voltage": "-2", "resistivity": "1"}
5
efield,mass,resistance,thermal_diff,velocity
m·v·α·R·E_f
em,mechanics,thermo
m·v⁶·α⁻³·R·E_f⁻²
m = k₀ · v⁻⁶·α³·R⁻¹·E_f²
null
0
3
6
13
12.3
-3.3
false
{"mass": "1", "velocity": "6", "thermal_diff": "-3", "resistance": "1", "efield": "-2"}
5
bfield,mass,resistance,thermal_diff,velocity
m·v·α·R·B
em,mechanics,thermo
m·v⁴·α⁻³·R·B⁻²
m = k₀ · v⁻⁴·α³·R⁻¹·B²
null
0
3
4
11
9.9
-0.9
false
{"mass": "1", "velocity": "4", "thermal_diff": "-3", "resistance": "1", "bfield": "-2"}
5
capacitance,efield,mass,thermal_diff,velocity
m·v·α·C_e·E_f
em,mechanics,thermo
m·v⁴·α⁻²·C_e⁻¹·E_f⁻²
m = k₀ · v⁻⁴·α²·C_e·E_f²
null
0
3
4
10
9.2
-0.2
false
{"mass": "1", "velocity": "4", "thermal_diff": "-2", "capacitance": "-1", "efield": "-2"}
5
bfield,capacitance,mass,thermal_diff,velocity
m·v·α·C_e·B
em,mechanics,thermo
m·v²·α⁻²·C_e⁻¹·B⁻²
m = k₀ · v⁻²·α²·C_e·B²
null
0
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "thermal_diff": "-2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,mag_flux,mass,thermal_diff,velocity
m·v·α·C_e·Φ
em,mechanics,thermo
m·v⁻²·α²·C_e⁻¹·Φ⁻²
m = k₀ · v²·α⁻²·C_e·Φ²
null
0
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "-2", "thermal_diff": "2", "capacitance": "-1", "mag_flux": "-2"}
5
efield,inductance,mass,thermal_diff,velocity
m·v·α·L_e·E_f
em,mechanics,thermo
m·v⁸·α⁻⁴·L_e·E_f⁻²
m = k₀ · v⁻⁸·α⁴·L_e⁻¹·E_f²
null
0
3
8
16
15.4
-6.4
false
{"mass": "1", "velocity": "8", "thermal_diff": "-4", "inductance": "1", "efield": "-2"}
5
bfield,inductance,mass,thermal_diff,velocity
m·v·α·L_e·B
em,mechanics,thermo
m·v⁶·α⁻⁴·L_e·B⁻²
m = k₀ · v⁻⁶·α⁴·L_e⁻¹·B²
null
0
3
6
14
13
-4
false
{"mass": "1", "velocity": "6", "thermal_diff": "-4", "inductance": "1", "bfield": "-2"}
5
elem_charge,inductance,mass,thermal_diff,velocity
m·v·α·L_e·e
constants,em,mechanics,thermo
m·v⁻²·α²·L_e⁻¹·e⁻²
m = k₀ · v²·α⁻²·L_e·e²
null
1
4
2
8
7.4
1.1
false
{"mass": "1", "velocity": "-2", "thermal_diff": "2", "inductance": "-1", "elem_charge": "-2"}
5
efield,mass,permittivity,thermal_diff,velocity
m·v·α·E_f·ε
em,mechanics,thermo
m·v⁵·α⁻³·E_f⁻²·ε⁻¹
m = k₀ · v⁻⁵·α³·E_f²·ε
null
0
3
5
12
11.1
-2.1
false
{"mass": "1", "velocity": "5", "thermal_diff": "-3", "efield": "-2", "permittivity": "-1"}
5
efield,mass,permeability,thermal_diff,velocity
m·v·α·E_f·μ₀
em,mechanics,thermo
m·v⁷·α⁻³·E_f⁻²·μ₀
m = k₀ · v⁻⁷·α³·E_f²·μ₀⁻¹
null
0
3
7
14
13.5
-4.5
false
{"mass": "1", "velocity": "7", "thermal_diff": "-3", "efield": "-2", "permeability": "1"}
5
conductivity,efield,mass,thermal_diff,velocity
m·v·α·E_f·σ
em,mechanics,thermo
m·v⁷·α⁻⁴·E_f⁻²·σ⁻¹
m = k₀ · v⁻⁷·α⁴·E_f²·σ
null
0
3
7
15
14.2
-5.2
false
{"mass": "1", "velocity": "7", "thermal_diff": "-4", "efield": "-2", "conductivity": "-1"}
5
efield,mass,resistivity,thermal_diff,velocity
m·v·α·E_f·ρ_e
em,mechanics,thermo
m·v⁷·α⁻⁴·E_f⁻²·ρ_e
m = k₀ · v⁻⁷·α⁴·E_f²·ρ_e⁻¹
null
0
3
7
15
14.2
-5.2
false
{"mass": "1", "velocity": "7", "thermal_diff": "-4", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,mass,thermal_diff,velocity
m·v·α·E_f·e
constants,em,mechanics,thermo
m·v³·α⁻¹·E_f⁻¹·e⁻¹
m = k₀ · v⁻³·α·E_f·e
null
1
4
3
7
7.2
1.3
false
{"mass": "1", "velocity": "3", "thermal_diff": "-1", "efield": "-1", "elem_charge": "-1"}
5
bfield,mass,permittivity,thermal_diff,velocity
m·v·α·B·ε
em,mechanics,thermo
m·v³·α⁻³·B⁻²·ε⁻¹
m = k₀ · v⁻³·α³·B²·ε
null
0
3
3
10
8.7
0.3
false
{"mass": "1", "velocity": "3", "thermal_diff": "-3", "bfield": "-2", "permittivity": "-1"}
5
bfield,mass,permeability,thermal_diff,velocity
m·v·α·B·μ₀
em,mechanics,thermo
m·v⁵·α⁻³·B⁻²·μ₀
m = k₀ · v⁻⁵·α³·B²·μ₀⁻¹
null
0
3
5
12
11.1
-2.1
false
{"mass": "1", "velocity": "5", "thermal_diff": "-3", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,mass,thermal_diff,velocity
m·v·α·B·σ
em,mechanics,thermo
m·v⁵·α⁻⁴·B⁻²·σ⁻¹
m = k₀ · v⁻⁵·α⁴·B²·σ
null
0
3
5
13
11.8
-2.8
false
{"mass": "1", "velocity": "5", "thermal_diff": "-4", "bfield": "-2", "conductivity": "-1"}
5
bfield,mass,resistivity,thermal_diff,velocity
m·v·α·B·ρ_e
em,mechanics,thermo
m·v⁵·α⁻⁴·B⁻²·ρ_e
m = k₀ · v⁻⁵·α⁴·B²·ρ_e⁻¹
null
0
3
5
13
11.8
-2.8
false
{"mass": "1", "velocity": "5", "thermal_diff": "-4", "bfield": "-2", "resistivity": "1"}
5
bfield,elem_charge,mass,thermal_diff,velocity
m·v·α·B·e
constants,em,mechanics,thermo
m·v²·α⁻¹·B⁻¹·e⁻¹
m = k₀ · v⁻²·α·B·e
null
1
4
2
6
6
2.5
false
{"mass": "1", "velocity": "2", "thermal_diff": "-1", "bfield": "-1", "elem_charge": "-1"}
5
mag_flux,mass,permittivity,thermal_diff,velocity
m·v·α·Φ·ε
em,mechanics,thermo
m·v⁻¹·α·Φ⁻²·ε⁻¹
m = k₀ · v·α⁻¹·Φ²·ε
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-1", "thermal_diff": "1", "mag_flux": "-2", "permittivity": "-1"}
5
mag_flux,mass,permeability,thermal_diff,velocity
m·v·α·Φ·μ₀
em,mechanics,thermo
m·v·α·Φ⁻²·μ₀
m = k₀ · v⁻¹·α⁻¹·Φ²·μ₀⁻¹
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "thermal_diff": "1", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,mass,permittivity,thermal_diff,velocity
m·v·α·ε·e
constants,em,mechanics,thermo
m·v·α·ε·e⁻²
m = k₀ · v⁻¹·α⁻¹·ε⁻¹·e²
null
1
4
2
6
6
2.5
false
{"mass": "1", "velocity": "1", "thermal_diff": "1", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,permeability,thermal_diff,velocity
m·v·α·μ₀·e
constants,em,mechanics,thermo
m·v⁻¹·α·μ₀⁻¹·e⁻²
m = k₀ · v·α⁻¹·μ₀·e²
null
1
4
2
6
6
2.5
false
{"mass": "1", "velocity": "-1", "thermal_diff": "1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,mass,thermal_diff,velocity
m·v·α·σ·e
constants,em,mechanics,thermo
m·v⁻¹·α²·σ·e⁻²
m = k₀ · v·α⁻²·σ⁻¹·e²
null
1
4
2
7
6.7
1.8
false
{"mass": "1", "velocity": "-1", "thermal_diff": "2", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,resistivity,thermal_diff,velocity
m·v·α·ρ_e·e
constants,em,mechanics,thermo
m·v⁻¹·α²·ρ_e⁻¹·e⁻²
m = k₀ · v·α⁻²·ρ_e·e²
null
1
4
2
7
6.7
1.8
false
{"mass": "1", "velocity": "-1", "thermal_diff": "2", "resistivity": "-1", "elem_charge": "-2"}
5
concentration,mass,molar_mass,thermal_diff,velocity
m·v·α·M_m·c_n
chemistry,mechanics,thermo
m·v³·α⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁻³·α³·M_m·c_n
null
0
3
3
9
8
1
false
{"mass": "1", "velocity": "3", "thermal_diff": "-3", "molar_mass": "-1", "concentration": "-1"}
5
cat_activity,mass,molar_mass,thermal_diff,velocity
m·v·α·M_m·z
chemistry,mechanics,thermo
m·v²·α⁻¹·M_m⁻¹·z⁻¹
m = k₀ · v⁻²·α·M_m·z
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "thermal_diff": "-1", "molar_mass": "-1", "cat_activity": "-1"}
5
concentration,mass,molar_energy,thermal_diff,velocity
m·v·α·c_n·E_m
chemistry,mechanics,thermo
m·v⁵·α⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻⁵·α³·c_n·E_m
null
0
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "thermal_diff": "-3", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,mass,molar_energy,thermal_diff,velocity
m·v·α·E_m·z
chemistry,mechanics,thermo
m·v⁴·α⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻⁴·α·E_m·z
null
0
3
4
8
7.8
1.2
false
{"mass": "1", "velocity": "4", "thermal_diff": "-1", "molar_energy": "-1", "cat_activity": "-1"}
4
grav_const,mass,thermal_diff,velocity
m·v·α·G
constants,mechanics,thermo
m·v⁻¹·α⁻¹·G
m = k₀ · v·α·G⁻¹
null
1
3
1
4
3.2
5.8
false
{"mass": "1", "velocity": "-1", "thermal_diff": "-1", "grav_const": "1"}
7
charge,concentration,current,expansion,gas_constant,mass,velocity
m·v·β·q·i·c_n·R
chemistry,em,mechanics,thermo
m·v⁻¹·β·q⁻³·i³·c_n⁻¹·R⁻¹
m = k₀ · v·β⁻¹·q³·i⁻³·c_n·R
null
0
4
3
11
10.6
-2.1
false
{"mass": "1", "velocity": "-1", "expansion": "1", "charge": "-3", "current": "3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,current,expansion,gas_constant,mass,velocity
m·v·β·q·i·R·z
chemistry,em,mechanics,thermo
m·v²·β·q⁻¹·i·R⁻¹·z⁻¹
m = k₀ · v⁻²·β⁻¹·q·i⁻¹·R·z
null
0
4
2
8
8
0.5
false
{"mass": "1", "velocity": "2", "expansion": "1", "charge": "-1", "current": "1", "gas_constant": "-1", "cat_activity": "-1"}
7
charge,concentration,expansion,gas_constant,mass,resistance,velocity
m·v·β·q·R·c_n·R
chemistry,em,mechanics,thermo
m⁴·v⁵·β·q⁻⁶·R⁻³·c_n⁻¹·R⁻¹
β = k₀ · m⁻⁴·v⁻⁵·q⁶·R³·c_n·R
null
0
4
6
21
19.1
-10.6
false
{"mass": "4", "velocity": "5", "expansion": "1", "charge": "-6", "resistance": "-3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,expansion,gas_constant,mass,resistance,velocity
m·v·β·q·R·R·z
chemistry,em,mechanics,thermo
m²·v⁴·β·q⁻²·R⁻¹·R⁻¹·z⁻¹
β = k₀ · m⁻²·v⁻⁴·q²·R·R·z
null
0
4
4
12
11.8
-3.3
false
{"mass": "2", "velocity": "4", "expansion": "1", "charge": "-2", "resistance": "-1", "gas_constant": "-1", "cat_activity": "-1"}
7
charge,concentration,expansion,gas_constant,inductance,mass,velocity
m·v·β·q·L_e·c_n·R
chemistry,em,mechanics,thermo
m⁵·v⁴·β²·q⁻⁶·L_e⁻³·c_n⁻²·R⁻²
β = k₀ · m⁻⁵ᐟ²·v⁻²·q³·L_e³ᐟ²·c_n·R
null
0
4
6
24
21.2
-12.7
false
{"mass": "5", "velocity": "4", "expansion": "2", "charge": "-6", "inductance": "-3", "concentration": "-2", "gas_constant": "-2"}
7
cat_activity,charge,expansion,gas_constant,inductance,mass,velocity
m·v·β·q·L_e·R·z
chemistry,em,mechanics,thermo
m³·v⁶·β²·q⁻²·L_e⁻¹·R⁻²·z⁻²
L_e = k₀ · m³·v⁶·β²·q⁻²·R⁻²·z⁻²
null
0
4
6
18
17
-8.5
false
{"mass": "3", "velocity": "6", "expansion": "2", "charge": "-2", "inductance": "-1", "gas_constant": "-2", "cat_activity": "-2"}
7
charge,concentration,efield,expansion,gas_constant,mass,velocity
m·v·β·q·E_f·c_n·R
chemistry,em,mechanics,thermo
m²·v⁴·β⁻¹·q⁻³·E_f⁻³·c_n·R
β = k₀ · m²·v⁴·q⁻³·E_f⁻³·c_n·R
null
0
4
4
15
13.9
-5.4
false
{"mass": "2", "velocity": "4", "expansion": "-1", "charge": "-3", "efield": "-3", "concentration": "1", "gas_constant": "1"}
7
bfield,charge,concentration,expansion,gas_constant,mass,velocity
m·v·β·q·B·c_n·R
chemistry,em,mechanics,thermo
m²·v·β⁻¹·q⁻³·B⁻³·c_n·R
v = k₀ · m⁻²·β·q³·B³·c_n⁻¹·R⁻¹
null
0
4
3
12
11.3
-2.8
false
{"mass": "2", "velocity": "1", "expansion": "-1", "charge": "-3", "bfield": "-3", "concentration": "1", "gas_constant": "1"}
7
charge,concentration,expansion,gas_constant,mag_flux,mass,velocity
m·v·β·q·Φ·c_n·R
chemistry,em,mechanics,thermo
m⁴·v⁵·β·q⁻³·Φ⁻³·c_n⁻¹·R⁻¹
β = k₀ · m⁻⁴·v⁻⁵·q³·Φ³·c_n·R
null
0
4
5
18
16.5
-8
false
{"mass": "4", "velocity": "5", "expansion": "1", "charge": "-3", "mag_flux": "-3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,expansion,gas_constant,mag_flux,mass,velocity
m·v·β·q·Φ·R·z
chemistry,em,mechanics,thermo
m²·v⁴·β·q⁻¹·Φ⁻¹·R⁻¹·z⁻¹
β = k₀ · m⁻²·v⁻⁴·q·Φ·R·z
null
0
4
4
11
11.1
-2.6
false
{"mass": "2", "velocity": "4", "expansion": "1", "charge": "-1", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1"}
7
charge,concentration,expansion,gas_constant,mass,permittivity,velocity
m·v·β·q·ε·c_n·R
chemistry,em,mechanics,thermo
m⁴·v⁸·β·q⁻⁶·ε³·c_n⁻¹·R⁻¹
β = k₀ · m⁻⁴·v⁻⁸·q⁶·ε⁻³·c_n·R
null
0
4
8
24
22.2
-13.7
false
{"mass": "4", "velocity": "8", "expansion": "1", "charge": "-6", "permittivity": "3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,expansion,gas_constant,mass,permittivity,velocity
m·v·β·q·ε·R·z
chemistry,em,mechanics,thermo
m²·v⁵·β·q⁻²·ε·R⁻¹·z⁻¹
β = k₀ · m⁻²·v⁻⁵·q²·ε⁻¹·R·z
null
0
4
5
13
13
-4.5
false
{"mass": "2", "velocity": "5", "expansion": "1", "charge": "-2", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1"}
7
charge,concentration,expansion,gas_constant,mass,permeability,velocity
m·v·β·q·μ₀·c_n·R
chemistry,em,mechanics,thermo
m⁴·v²·β·q⁻⁶·μ₀⁻³·c_n⁻¹·R⁻¹
β = k₀ · m⁻⁴·v⁻²·q⁶·μ₀³·c_n·R
null
0
4
6
18
17
-8.5
false
{"mass": "4", "velocity": "2", "expansion": "1", "charge": "-6", "permeability": "-3", "concentration": "-1", "gas_constant": "-1"}
7
cat_activity,charge,expansion,gas_constant,mass,permeability,velocity
m·v·β·q·μ₀·R·z
chemistry,em,mechanics,thermo
m²·v³·β·q⁻²·μ₀⁻¹·R⁻¹·z⁻¹
β = k₀ · m⁻²·v⁻³·q²·μ₀·R·z
null
0
4
3
11
10.6
-2.1
false
{"mass": "2", "velocity": "3", "expansion": "1", "charge": "-2", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1"}
7
charge,concentration,conductivity,expansion,gas_constant,mass,velocity
m·v·β·q·σ·c_n·R
chemistry,em,mechanics,thermo
m⁵·v⁷·β²·q⁻⁶·σ³·c_n⁻²·R⁻²
β = k₀ · m⁻⁵ᐟ²·v⁻⁷ᐟ²·q³·σ⁻³ᐟ²·c_n·R
null
0
4
7
27
23.8
-15.3
false
{"mass": "5", "velocity": "7", "expansion": "2", "charge": "-6", "conductivity": "3", "concentration": "-2", "gas_constant": "-2"}