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int64
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10
106
symbols
stringlengths
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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
conductivity,gas_constant,mass,molar_mass,permeability,thermal_cond,time
m·t·κ·μ₀·σ·M_m·R
chemistry,em,mechanics,thermo
m²·t⁻³·κ⁻²·μ₀·σ·M_m⁻²·R²
μ₀ = k₀ · m⁻²·t³·κ²·σ⁻¹·M_m²·R⁻²
null
0
4
3
13
12
-3.5
false
{"mass": "2", "time": "-3", "thermal_cond": "-2", "permeability": "1", "conductivity": "1", "molar_mass": "-2", "gas_constant": "2"}
7
conductivity,gas_constant,mass,molar_energy,permeability,thermal_cond,time
m·t·κ·μ₀·σ·E_m·R
chemistry,em,mechanics,thermo
m²·t⁻⁵·κ⁻²·μ₀⁻¹·σ⁻¹·E_m⁻²·R²
μ₀ = k₀ · m²·t⁻⁵·κ⁻²·σ⁻¹·E_m⁻²·R²
null
0
4
5
15
14.4
-5.9
false
{"mass": "2", "time": "-5", "thermal_cond": "-2", "permeability": "-1", "conductivity": "-1", "molar_energy": "-2", "gas_constant": "2"}
7
gas_constant,mass,molar_mass,permeability,resistivity,thermal_cond,time
m·t·κ·μ₀·ρ_e·M_m·R
chemistry,em,mechanics,thermo
m²·t⁻³·κ⁻²·μ₀·ρ_e⁻¹·M_m⁻²·R²
μ₀ = k₀ · m⁻²·t³·κ²·ρ_e·M_m²·R⁻²
null
0
4
3
13
12
-3.5
false
{"mass": "2", "time": "-3", "thermal_cond": "-2", "permeability": "1", "resistivity": "-1", "molar_mass": "-2", "gas_constant": "2"}
7
gas_constant,mass,molar_energy,permeability,resistivity,thermal_cond,time
m·t·κ·μ₀·ρ_e·E_m·R
chemistry,em,mechanics,thermo
m²·t⁻⁵·κ⁻²·μ₀⁻¹·ρ_e·E_m⁻²·R²
μ₀ = k₀ · m²·t⁻⁵·κ⁻²·ρ_e·E_m⁻²·R²
null
0
4
5
15
14.4
-5.9
false
{"mass": "2", "time": "-5", "thermal_cond": "-2", "permeability": "-1", "resistivity": "1", "molar_energy": "-2", "gas_constant": "2"}
7
amount,elem_charge,gas_constant,mass,permeability,thermal_cond,time
m·t·κ·μ₀·n·R·e
chemistry,constants,em,mechanics,thermo
m·t⁻¹·κ⁻¹·μ₀⁻¹·n·R·e⁻²
m = k₀ · t·κ·μ₀·n⁻¹·R⁻¹·e²
null
1
5
2
8
8.6
-0.6
false
{"mass": "1", "time": "-1", "thermal_cond": "-1", "permeability": "-1", "amount": "1", "gas_constant": "1", "elem_charge": "-2"}
7
elem_charge,gas_constant,mass,molar_mass,permeability,thermal_cond,time
m·t·κ·μ₀·M_m·R·e
chemistry,constants,em,mechanics,thermo
m²·t⁻¹·κ⁻¹·μ₀⁻¹·M_m⁻¹·R·e⁻²
t = k₀ · m²·κ⁻¹·μ₀⁻¹·M_m⁻¹·R·e⁻²
null
1
5
2
9
9.3
-1.3
false
{"mass": "2", "time": "-1", "thermal_cond": "-1", "permeability": "-1", "molar_mass": "-1", "gas_constant": "1", "elem_charge": "-2"}
7
concentration,elem_charge,gas_constant,mass,permeability,thermal_cond,time
m·t·κ·μ₀·c_n·R·e
chemistry,constants,em,mechanics,thermo
m²·t·κ·μ₀⁻²·c_n⁻¹·R⁻¹·e⁻⁴
t = k₀ · m⁻²·κ⁻¹·μ₀²·c_n·R·e⁴
null
1
5
4
12
12.4
-4.4
false
{"mass": "2", "time": "1", "thermal_cond": "1", "permeability": "-2", "concentration": "-1", "gas_constant": "-1", "elem_charge": "-4"}
7
avogadro,elem_charge,gas_constant,mass,permeability,thermal_cond,time
m·t·κ·μ₀·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·t⁻¹·κ⁻¹·μ₀⁻¹·R·e⁻²·N_A⁻¹
m = k₀ · t·κ·μ₀·R⁻¹·e²·N_A
null
2
5
2
8
9.6
-3.1
false
{"mass": "1", "time": "-1", "thermal_cond": "-1", "permeability": "-1", "gas_constant": "1", "elem_charge": "-2", "avogadro": "-1"}
6
boltzmann,elem_charge,mass,permeability,thermal_cond,time
m·t·κ·μ₀·k_B·e
constants,em,mechanics,thermo
m·t⁻¹·κ⁻¹·μ₀⁻¹·k_B·e⁻²
m = k₀ · t·κ·μ₀·k_B⁻¹·e²
null
2
4
2
7
8
-1
false
{"mass": "1", "time": "-1", "thermal_cond": "-1", "permeability": "-1", "boltzmann": "1", "elem_charge": "-2"}
7
amount,conductivity,elem_charge,gas_constant,mass,thermal_cond,time
m·t·κ·σ·n·R·e
chemistry,constants,em,mechanics,thermo
m·t⁻⁴·κ⁻³·σ·n³·R³·e⁻²
m = k₀ · t⁴·κ³·σ⁻¹·n⁻³·R⁻³·e²
null
1
5
4
17
15.9
-7.9
false
{"mass": "1", "time": "-4", "thermal_cond": "-3", "conductivity": "1", "amount": "3", "gas_constant": "3", "elem_charge": "-2"}
7
conductivity,elem_charge,gas_constant,mass,molar_mass,thermal_cond,time
m·t·κ·σ·M_m·R·e
chemistry,constants,em,mechanics,thermo
m⁴·t⁻⁴·κ⁻³·σ·M_m⁻³·R³·e⁻²
σ = k₀ · m⁻⁴·t⁴·κ³·M_m³·R⁻³·e²
null
1
5
4
20
18
-10
false
{"mass": "4", "time": "-4", "thermal_cond": "-3", "conductivity": "1", "molar_mass": "-3", "gas_constant": "3", "elem_charge": "-2"}
7
concentration,conductivity,elem_charge,gas_constant,mass,thermal_cond,time
m·t·κ·σ·c_n·R·e
chemistry,constants,em,mechanics,thermo
m²·t·κ³·σ²·c_n⁻³·R⁻³·e⁻⁴
t = k₀ · m⁻²·κ⁻³·σ⁻²·c_n³·R³·e⁴
null
1
5
4
18
16.6
-8.6
false
{"mass": "2", "time": "1", "thermal_cond": "3", "conductivity": "2", "concentration": "-3", "gas_constant": "-3", "elem_charge": "-4"}
7
conductivity,elem_charge,gas_constant,mass,molar_energy,thermal_cond,time
m·t·κ·σ·E_m·R·e
chemistry,constants,em,mechanics,thermo
m²·t⁻⁸·κ⁻³·σ⁻¹·E_m⁻³·R³·e²
σ = k₀ · m²·t⁻⁸·κ⁻³·E_m⁻³·R³·e²
null
1
5
8
22
21.4
-13.4
false
{"mass": "2", "time": "-8", "thermal_cond": "-3", "conductivity": "-1", "molar_energy": "-3", "gas_constant": "3", "elem_charge": "2"}
7
cat_activity,conductivity,elem_charge,gas_constant,mass,thermal_cond,time
m·t·κ·σ·R·z·e
chemistry,constants,em,mechanics,thermo
m·t⁻¹·κ⁻³·σ·R³·z³·e⁻²
m = k₀ · t·κ³·σ⁻¹·R⁻³·z⁻³·e²
null
1
5
3
14
13.3
-5.3
false
{"mass": "1", "time": "-1", "thermal_cond": "-3", "conductivity": "1", "gas_constant": "3", "cat_activity": "3", "elem_charge": "-2"}
7
avogadro,conductivity,elem_charge,gas_constant,mass,thermal_cond,time
m·t·κ·σ·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·t⁻⁴·κ⁻³·σ·R³·e⁻²·N_A⁻³
m = k₀ · t⁴·κ³·σ⁻¹·R⁻³·e²·N_A³
null
2
5
4
17
16.9
-10.4
false
{"mass": "1", "time": "-4", "thermal_cond": "-3", "conductivity": "1", "gas_constant": "3", "elem_charge": "-2", "avogadro": "-3"}
6
boltzmann,conductivity,elem_charge,mass,thermal_cond,time
m·t·κ·σ·k_B·e
constants,em,mechanics,thermo
m·t⁻⁴·κ⁻³·σ·k_B³·e⁻²
m = k₀ · t⁴·κ³·σ⁻¹·k_B⁻³·e²
null
2
4
4
14
13.9
-6.9
false
{"mass": "1", "time": "-4", "thermal_cond": "-3", "conductivity": "1", "boltzmann": "3", "elem_charge": "-2"}
7
amount,elem_charge,gas_constant,mass,resistivity,thermal_cond,time
m·t·κ·ρ_e·n·R·e
chemistry,constants,em,mechanics,thermo
m·t⁻⁴·κ⁻³·ρ_e⁻¹·n³·R³·e⁻²
m = k₀ · t⁴·κ³·ρ_e·n⁻³·R⁻³·e²
null
1
5
4
17
15.9
-7.9
false
{"mass": "1", "time": "-4", "thermal_cond": "-3", "resistivity": "-1", "amount": "3", "gas_constant": "3", "elem_charge": "-2"}
7
elem_charge,gas_constant,mass,molar_mass,resistivity,thermal_cond,time
m·t·κ·ρ_e·M_m·R·e
chemistry,constants,em,mechanics,thermo
m⁴·t⁻⁴·κ⁻³·ρ_e⁻¹·M_m⁻³·R³·e⁻²
ρ_e = k₀ · m⁴·t⁻⁴·κ⁻³·M_m⁻³·R³·e⁻²
null
1
5
4
20
18
-10
false
{"mass": "4", "time": "-4", "thermal_cond": "-3", "resistivity": "-1", "molar_mass": "-3", "gas_constant": "3", "elem_charge": "-2"}
7
concentration,elem_charge,gas_constant,mass,resistivity,thermal_cond,time
m·t·κ·ρ_e·c_n·R·e
chemistry,constants,em,mechanics,thermo
m²·t·κ³·ρ_e⁻²·c_n⁻³·R⁻³·e⁻⁴
t = k₀ · m⁻²·κ⁻³·ρ_e²·c_n³·R³·e⁴
null
1
5
4
18
16.6
-8.6
false
{"mass": "2", "time": "1", "thermal_cond": "3", "resistivity": "-2", "concentration": "-3", "gas_constant": "-3", "elem_charge": "-4"}
7
elem_charge,gas_constant,mass,molar_energy,resistivity,thermal_cond,time
m·t·κ·ρ_e·E_m·R·e
chemistry,constants,em,mechanics,thermo
m²·t⁻⁸·κ⁻³·ρ_e·E_m⁻³·R³·e²
ρ_e = k₀ · m⁻²·t⁸·κ³·E_m³·R⁻³·e⁻²
null
1
5
8
22
21.4
-13.4
false
{"mass": "2", "time": "-8", "thermal_cond": "-3", "resistivity": "1", "molar_energy": "-3", "gas_constant": "3", "elem_charge": "2"}
7
cat_activity,elem_charge,gas_constant,mass,resistivity,thermal_cond,time
m·t·κ·ρ_e·R·z·e
chemistry,constants,em,mechanics,thermo
m·t⁻¹·κ⁻³·ρ_e⁻¹·R³·z³·e⁻²
m = k₀ · t·κ³·ρ_e·R⁻³·z⁻³·e²
null
1
5
3
14
13.3
-5.3
false
{"mass": "1", "time": "-1", "thermal_cond": "-3", "resistivity": "-1", "gas_constant": "3", "cat_activity": "3", "elem_charge": "-2"}
7
avogadro,elem_charge,gas_constant,mass,resistivity,thermal_cond,time
m·t·κ·ρ_e·R·e·N_A
chemistry,constants,em,mechanics,thermo
m·t⁻⁴·κ⁻³·ρ_e⁻¹·R³·e⁻²·N_A⁻³
m = k₀ · t⁴·κ³·ρ_e·R⁻³·e²·N_A³
null
2
5
4
17
16.9
-10.4
false
{"mass": "1", "time": "-4", "thermal_cond": "-3", "resistivity": "-1", "gas_constant": "3", "elem_charge": "-2", "avogadro": "-3"}
6
boltzmann,elem_charge,mass,resistivity,thermal_cond,time
m·t·κ·ρ_e·k_B·e
constants,em,mechanics,thermo
m·t⁻⁴·κ⁻³·ρ_e⁻¹·k_B³·e⁻²
m = k₀ · t⁴·κ³·ρ_e·k_B⁻³·e²
null
2
4
4
14
13.9
-6.9
false
{"mass": "1", "time": "-4", "thermal_cond": "-3", "resistivity": "-1", "boltzmann": "3", "elem_charge": "-2"}
6
amount,gas_constant,mass,molar_energy,thermal_cond,time
m·t·κ·n·E_m·R
chemistry,mechanics,thermo
m·t⁻⁴·κ⁻²·n·E_m⁻¹·R²
m = k₀ · t⁴·κ²·n⁻¹·E_m·R⁻²
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "thermal_cond": "-2", "amount": "1", "molar_energy": "-1", "gas_constant": "2"}
6
amount,boltzmann,mass,molar_energy,thermal_cond,time
m·t·κ·n·E_m·k_B
chemistry,constants,mechanics,thermo
m·t⁻⁴·κ⁻²·n⁻¹·E_m⁻¹·k_B²
m = k₀ · t⁴·κ²·n·E_m·k_B⁻²
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "thermal_cond": "-2", "amount": "-1", "molar_energy": "-1", "boltzmann": "2"}
6
amount,gas_constant,grav_const,mass,thermal_cond,time
m·t·κ·n·R·G
chemistry,constants,mechanics,thermo
m·t⁵·κ³·n⁻³·R⁻³·G
m = k₀ · t⁻⁵·κ⁻³·n³·R³·G⁻¹
null
1
4
5
16
14.8
-6.3
false
{"mass": "1", "time": "5", "thermal_cond": "3", "amount": "-3", "gas_constant": "-3", "grav_const": "1"}
6
amount,gas_constant,mass,planck,thermal_cond,time
m·t·κ·n·R·h
chemistry,constants,mechanics,thermo
m·t⁻³·κ⁻²·n²·R²·h⁻¹
m = k₀ · t³·κ²·n⁻²·R⁻²·h
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "time": "-3", "thermal_cond": "-2", "amount": "2", "gas_constant": "2", "planck": "-1"}
6
concentration,gas_constant,mass,molar_mass,thermal_cond,time
m·t·κ·M_m·c_n·R
chemistry,mechanics,thermo
m²·t⁻³·κ⁻³·M_m⁻²·c_n·R³
c_n = k₀ · m⁻²·t³·κ³·M_m²·R⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "time": "-3", "thermal_cond": "-3", "molar_mass": "-2", "concentration": "1", "gas_constant": "3"}
6
boltzmann,concentration,mass,molar_mass,thermal_cond,time
m·t·κ·M_m·c_n·k_B
chemistry,constants,mechanics,thermo
m·t³·κ³·M_m⁻¹·c_n⁻¹·k_B⁻³
m = k₀ · t⁻³·κ⁻³·M_m·c_n·k_B³
null
1
4
3
12
11
-2.5
false
{"mass": "1", "time": "3", "thermal_cond": "3", "molar_mass": "-1", "concentration": "-1", "boltzmann": "-3"}
6
gas_constant,mass,molar_energy,molar_mass,thermal_cond,time
m·t·κ·M_m·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁴·κ⁻²·M_m⁻¹·E_m⁻¹·R²
M_m = k₀ · m²·t⁻⁴·κ⁻²·E_m⁻¹·R²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "time": "-4", "thermal_cond": "-2", "molar_mass": "-1", "molar_energy": "-1", "gas_constant": "2"}
7
gas_constant,illuminance,lum_intensity,mass,molar_mass,thermal_cond,time
m·t·κ·M_m·R·I_v·E_v
chemistry,mechanics,photometry,thermo
m²·t⁻²·κ⁻²·M_m⁻²·R²·I_v⁻¹·E_v
I_v = k₀ · m²·t⁻²·κ⁻²·M_m⁻²·R²·E_v
null
0
4
2
12
10.8
-2.3
false
{"mass": "2", "time": "-2", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-1", "illuminance": "1"}
7
gas_constant,lum_intensity,luminance,mass,molar_mass,thermal_cond,time
m·t·κ·M_m·R·I_v·L_v
chemistry,mechanics,photometry,thermo
m²·t⁻²·κ⁻²·M_m⁻²·R²·I_v⁻¹·L_v
I_v = k₀ · m²·t⁻²·κ⁻²·M_m⁻²·R²·L_v
null
0
4
2
12
10.8
-2.3
false
{"mass": "2", "time": "-2", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2", "lum_intensity": "-1", "luminance": "1"}
6
gas_constant,light_speed,mass,molar_mass,thermal_cond,time
m·t·κ·M_m·R·c₀
chemistry,constants,mechanics,thermo
m·t⁻²·κ⁻¹·M_m⁻¹·R·c₀⁻¹
m = k₀ · t²·κ·M_m·R⁻¹·c₀
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1", "light_speed": "-1"}
6
gas_constant,grav_const,mass,molar_mass,thermal_cond,time
m·t·κ·M_m·R·G
chemistry,constants,mechanics,thermo
m²·t⁻⁵·κ⁻³·M_m⁻³·R³·G⁻¹
G = k₀ · m²·t⁻⁵·κ⁻³·M_m⁻³·R³
null
1
4
5
17
15.5
-7
false
{"mass": "2", "time": "-5", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3", "grav_const": "-1"}
6
gas_constant,mass,molar_mass,planck,thermal_cond,time
m·t·κ·M_m·R·h
chemistry,constants,mechanics,thermo
m³·t⁻³·κ⁻²·M_m⁻²·R²·h⁻¹
h = k₀ · m³·t⁻³·κ⁻²·M_m⁻²·R²
null
1
4
3
13
11.7
-3.2
false
{"mass": "3", "time": "-3", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2", "planck": "-1"}
6
concentration,gas_constant,mass,molar_energy,thermal_cond,time
m·t·κ·c_n·E_m·R
chemistry,mechanics,thermo
m²·t⁻⁵·κ⁻¹·c_n⁻¹·E_m⁻²·R
κ = k₀ · m²·t⁻⁵·c_n⁻¹·E_m⁻²·R
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "time": "-5", "thermal_cond": "-1", "concentration": "-1", "molar_energy": "-2", "gas_constant": "1"}
6
boltzmann,concentration,mass,molar_energy,thermal_cond,time
m·t·κ·c_n·E_m·k_B
chemistry,constants,mechanics,thermo
m·t⁻¹·κ·c_n⁻¹·E_m⁻¹·k_B⁻¹
m = k₀ · t·κ⁻¹·c_n·E_m·k_B
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "time": "-1", "thermal_cond": "1", "concentration": "-1", "molar_energy": "-1", "boltzmann": "-1"}
6
concentration,gas_constant,grav_const,mass,thermal_cond,time
m·t·κ·c_n·R·G
chemistry,constants,mechanics,thermo
m²·t·κ⁻³·c_n³·R³·G²
t = k₀ · m⁻²·κ³·c_n⁻³·R⁻³·G⁻²
null
1
4
3
14
12.4
-3.9
false
{"mass": "2", "time": "1", "thermal_cond": "-3", "concentration": "3", "gas_constant": "3", "grav_const": "2"}
6
cat_activity,gas_constant,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·z
chemistry,mechanics,thermo
m·t⁻³·κ⁻²·E_m⁻¹·R²·z
m = k₀ · t³·κ²·E_m·R⁻²·z⁻¹
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "thermal_cond": "-2", "molar_energy": "-1", "gas_constant": "2", "cat_activity": "1"}
7
gas_constant,illuminance,lum_intensity,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·I_v·E_v
chemistry,mechanics,photometry,thermo
m²·t⁻⁶·κ⁻²·E_m⁻²·R²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·t⁶·κ²·E_m²·R⁻²·E_v
null
0
4
6
16
15.6
-7.1
false
{"mass": "2", "time": "-6", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2", "lum_intensity": "1", "illuminance": "-1"}
7
gas_constant,lum_intensity,luminance,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·I_v·L_v
chemistry,mechanics,photometry,thermo
m²·t⁻⁶·κ⁻²·E_m⁻²·R²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·t⁶·κ²·E_m²·R⁻²·L_v
null
0
4
6
16
15.6
-7.1
false
{"mass": "2", "time": "-6", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2", "lum_intensity": "1", "luminance": "-1"}
6
gas_constant,light_speed,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·c₀
chemistry,constants,mechanics,thermo
m·t⁻²·κ⁻¹·E_m⁻¹·R·c₀
m = k₀ · t²·κ·E_m·R⁻¹·c₀⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "time": "-2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1", "light_speed": "1"}
6
gas_constant,grav_const,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·G
chemistry,constants,mechanics,thermo
m⁴·t⁻⁷·κ⁻³·E_m⁻³·R³·G
G = k₀ · m⁻⁴·t⁷·κ³·E_m³·R⁻³
null
1
4
7
21
19.3
-10.8
false
{"mass": "4", "time": "-7", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3", "grav_const": "1"}
6
gas_constant,mass,molar_energy,planck,thermal_cond,time
m·t·κ·E_m·R·h
chemistry,constants,mechanics,thermo
m·t⁻⁵·κ⁻²·E_m⁻²·R²·h
m = k₀ · t⁵·κ²·E_m²·R⁻²·h⁻¹
null
1
4
5
13
12.7
-4.2
false
{"mass": "1", "time": "-5", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2", "planck": "1"}
6
boltzmann,gas_constant,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·k_B
chemistry,constants,mechanics,thermo
m·t⁻⁴·κ⁻²·E_m⁻¹·R·k_B
m = k₀ · t⁴·κ²·E_m·R⁻¹·k_B⁻¹
null
1
4
4
10
10.1
-1.6
false
{"mass": "1", "time": "-4", "thermal_cond": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "1"}
6
avogadro,gas_constant,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻⁴·κ⁻²·E_m⁻¹·R²·N_A⁻¹
m = k₀ · t⁴·κ²·E_m·R⁻²·N_A
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "thermal_cond": "-2", "molar_energy": "-1", "gas_constant": "2", "avogadro": "-1"}
6
boltzmann,cat_activity,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·z·k_B
chemistry,constants,mechanics,thermo
m·t⁻⁵·κ⁻²·E_m⁻¹·z⁻¹·k_B²
m = k₀ · t⁵·κ²·E_m·z·k_B⁻²
null
1
4
5
12
12
-3.5
false
{"mass": "1", "time": "-5", "thermal_cond": "-2", "molar_energy": "-1", "cat_activity": "-1", "boltzmann": "2"}
6
avogadro,boltzmann,mass,molar_energy,thermal_cond,time
m·t·κ·E_m·k_B·N_A
chemistry,constants,mechanics,thermo
m·t⁻⁴·κ⁻²·E_m⁻¹·k_B²·N_A
m = k₀ · t⁴·κ²·E_m·k_B⁻²·N_A⁻¹
null
2
4
4
11
11.8
-4.8
false
{"mass": "1", "time": "-4", "thermal_cond": "-2", "molar_energy": "-1", "boltzmann": "2", "avogadro": "1"}
6
cat_activity,gas_constant,grav_const,mass,thermal_cond,time
m·t·κ·R·z·G
chemistry,constants,mechanics,thermo
m·t²·κ³·R⁻³·z⁻³·G
m = k₀ · t⁻²·κ⁻³·R³·z³·G⁻¹
null
1
4
3
13
11.7
-3.2
false
{"mass": "1", "time": "2", "thermal_cond": "3", "gas_constant": "-3", "cat_activity": "-3", "grav_const": "1"}
6
cat_activity,gas_constant,mass,planck,thermal_cond,time
m·t·κ·R·z·h
chemistry,constants,mechanics,thermo
m·t⁻¹·κ⁻²·R²·z²·h⁻¹
m = k₀ · t·κ²·R⁻²·z⁻²·h
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-1", "thermal_cond": "-2", "gas_constant": "2", "cat_activity": "2", "planck": "-1"}
6
avogadro,gas_constant,grav_const,mass,thermal_cond,time
m·t·κ·R·G·N_A
chemistry,constants,mechanics,thermo
m·t⁵·κ³·R⁻³·G·N_A³
m = k₀ · t⁻⁵·κ⁻³·R³·G⁻¹·N_A⁻³
null
2
4
5
16
15.8
-8.8
false
{"mass": "1", "time": "5", "thermal_cond": "3", "gas_constant": "-3", "grav_const": "1", "avogadro": "3"}
6
avogadro,gas_constant,mass,planck,thermal_cond,time
m·t·κ·R·h·N_A
chemistry,constants,mechanics,thermo
m·t⁻³·κ⁻²·R²·h⁻¹·N_A⁻²
m = k₀ · t³·κ²·R⁻²·h·N_A²
null
2
4
3
11
11.3
-4.3
false
{"mass": "1", "time": "-3", "thermal_cond": "-2", "gas_constant": "2", "planck": "-1", "avogadro": "-2"}
5
boltzmann,grav_const,mass,thermal_cond,time
m·t·κ·G·k_B
constants,mechanics,thermo
m·t⁵·κ³·G·k_B⁻³
m = k₀ · t⁻⁵·κ⁻³·G⁻¹·k_B³
null
2
3
5
13
12.8
-5.3
false
{"mass": "1", "time": "5", "thermal_cond": "3", "grav_const": "1", "boltzmann": "-3"}
5
boltzmann,mass,planck,thermal_cond,time
m·t·κ·h·k_B
constants,mechanics,thermo
m·t⁻³·κ⁻²·h⁻¹·k_B²
m = k₀ · t³·κ²·h·k_B⁻²
null
2
3
3
9
9
-1.5
false
{"mass": "1", "time": "-3", "thermal_cond": "-2", "planck": "-1", "boltzmann": "2"}
6
amount,expansion,gas_constant,mass,thermal_diff,time
m·t·α·β·n·R
chemistry,mechanics,thermo
m·t⁻¹·α·β·n⁻¹·R⁻¹
m = k₀ · t·α⁻¹·β⁻¹·n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,expansion,gas_constant,mass,thermal_diff,time
m·t·α·β·c_n·R
chemistry,mechanics,thermo
m²·t⁻⁵·α⁻¹·β²·c_n⁻²·R⁻²
α = k₀ · m²·t⁻⁵·β²·c_n⁻²·R⁻²
null
0
3
5
14
12.8
-3.8
false
{"mass": "2", "time": "-5", "thermal_diff": "-1", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,expansion,gas_constant,mass,thermal_diff,time
m·t·α·β·R·z
chemistry,mechanics,thermo
m·t⁻²·α·β·R⁻¹·z⁻¹
m = k₀ · t²·α⁻¹·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "thermal_diff": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
avogadro,expansion,gas_constant,mass,thermal_diff,time
m·t·α·β·R·N_A
chemistry,constants,mechanics,thermo
m·t⁻¹·α·β·R⁻¹·N_A
m = k₀ · t·α⁻¹·β⁻¹·R·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,expansion,mass,thermal_diff,time
m·t·α·β·k_B
constants,mechanics,thermo
m·t⁻¹·α·β·k_B⁻¹
m = k₀ · t·α⁻¹·β⁻¹·k_B
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "expansion": "1", "boltzmann": "-1"}
5
charge,mass,thermal_diff,time,voltage
m·t·α·q·U
em,mechanics,thermo
m·t⁻¹·α·q⁻¹·U⁻¹
m = k₀ · t·α⁻¹·q·U
null
0
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "charge": "-1", "voltage": "-1"}
5
capacitance,charge,mass,thermal_diff,time
m·t·α·q·C_e
em,mechanics,thermo
m·t⁻¹·α·q⁻²·C_e
m = k₀ · t·α⁻¹·q²·C_e⁻¹
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "charge": "-2", "capacitance": "1"}
5
charge,inductance,mass,thermal_diff,time
m·t·α·q·L_e
em,mechanics,thermo
m·t·α·q⁻²·L_e⁻¹
m = k₀ · t⁻¹·α⁻¹·q²·L_e
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "thermal_diff": "1", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,thermal_diff,time
m·t·α·q·E_f
em,mechanics,thermo
m²·t⁻³·α·q⁻²·E_f⁻²
α = k₀ · m⁻²·t³·q²·E_f²
null
0
3
3
10
8.7
0.3
false
{"mass": "2", "time": "-3", "thermal_diff": "1", "charge": "-2", "efield": "-2"}
5
charge,mass,permittivity,thermal_diff,time
m·t·α·q·ε
em,mechanics,thermo
m²·t⁻¹·α³·q⁻⁴·ε²
t = k₀ · m²·α³·q⁻⁴·ε²
null
0
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "-1", "thermal_diff": "3", "charge": "-4", "permittivity": "2"}
5
charge,mass,permeability,thermal_diff,time
m·t·α·q·μ₀
em,mechanics,thermo
m²·t·α·q⁻⁴·μ₀⁻²
t = k₀ · m⁻²·α⁻¹·q⁴·μ₀²
null
0
3
4
10
9.2
-0.2
false
{"mass": "2", "time": "1", "thermal_diff": "1", "charge": "-4", "permeability": "-2"}
5
charge,conductivity,mass,thermal_diff,time
m·t·α·q·σ
em,mechanics,thermo
m²·t·α³·q⁻⁴·σ²
t = k₀ · m⁻²·α⁻³·q⁴·σ⁻²
null
0
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "1", "thermal_diff": "3", "charge": "-4", "conductivity": "2"}
5
charge,mass,resistivity,thermal_diff,time
m·t·α·q·ρ_e
em,mechanics,thermo
m²·t·α³·q⁻⁴·ρ_e⁻²
t = k₀ · m⁻²·α⁻³·q⁴·ρ_e²
null
0
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "1", "thermal_diff": "3", "charge": "-4", "resistivity": "-2"}
5
current,mass,thermal_diff,time,voltage
m·t·α·i·U
em,mechanics,thermo
m·t⁻²·α·i⁻¹·U⁻¹
m = k₀ · t²·α⁻¹·i·U
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-2", "thermal_diff": "1", "current": "-1", "voltage": "-1"}
5
current,mass,resistance,thermal_diff,time
m·t·α·i·R
em,mechanics,thermo
m·t⁻²·α·i⁻²·R⁻¹
m = k₀ · t²·α⁻¹·i²·R
null
0
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "thermal_diff": "1", "current": "-2", "resistance": "-1"}
5
capacitance,current,mass,thermal_diff,time
m·t·α·i·C_e
em,mechanics,thermo
m·t⁻³·α·i⁻²·C_e
m = k₀ · t³·α⁻¹·i²·C_e⁻¹
null
0
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "thermal_diff": "1", "current": "-2", "capacitance": "1"}
5
current,inductance,mass,thermal_diff,time
m·t·α·i·L_e
em,mechanics,thermo
m·t⁻¹·α·i⁻²·L_e⁻¹
m = k₀ · t·α⁻¹·i²·L_e
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "current": "-2", "inductance": "-1"}
5
current,efield,mass,thermal_diff,time
m·t·α·i·E_f
em,mechanics,thermo
m²·t⁻⁵·α·i⁻²·E_f⁻²
α = k₀ · m⁻²·t⁵·i²·E_f²
null
0
3
5
12
11.1
-2.1
false
{"mass": "2", "time": "-5", "thermal_diff": "1", "current": "-2", "efield": "-2"}
5
current,mag_flux,mass,thermal_diff,time
m·t·α·i·Φ
em,mechanics,thermo
m·t⁻¹·α·i⁻¹·Φ⁻¹
m = k₀ · t·α⁻¹·i·Φ
null
0
3
1
5
4.2
4.8
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "current": "-1", "mag_flux": "-1"}
5
current,mass,permittivity,thermal_diff,time
m·t·α·i·ε
em,mechanics,thermo
m²·t⁻⁵·α³·i⁻⁴·ε²
m = k₀ · t⁵ᐟ²·α⁻³ᐟ²·i²·ε⁻¹
null
0
3
5
16
13.9
-4.9
false
{"mass": "2", "time": "-5", "thermal_diff": "3", "current": "-4", "permittivity": "2"}
5
current,mass,permeability,thermal_diff,time
m·t·α·i·μ₀
em,mechanics,thermo
m²·t⁻³·α·i⁻⁴·μ₀⁻²
α = k₀ · m⁻²·t³·i⁴·μ₀²
null
0
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "-3", "thermal_diff": "1", "current": "-4", "permeability": "-2"}
5
conductivity,current,mass,thermal_diff,time
m·t·α·i·σ
em,mechanics,thermo
m²·t⁻³·α³·i⁻⁴·σ²
m = k₀ · t³ᐟ²·α⁻³ᐟ²·i²·σ⁻¹
null
0
3
4
14
12
-3
false
{"mass": "2", "time": "-3", "thermal_diff": "3", "current": "-4", "conductivity": "2"}
5
current,mass,resistivity,thermal_diff,time
m·t·α·i·ρ_e
em,mechanics,thermo
m²·t⁻³·α³·i⁻⁴·ρ_e⁻²
m = k₀ · t³ᐟ²·α⁻³ᐟ²·i²·ρ_e
null
0
3
4
14
12
-3
false
{"mass": "2", "time": "-3", "thermal_diff": "3", "current": "-4", "resistivity": "-2"}
5
mass,resistance,thermal_diff,time,voltage
m·t·α·U·R
em,mechanics,thermo
m·t⁻²·α·U⁻²·R
m = k₀ · t²·α⁻¹·U²·R⁻¹
null
0
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "thermal_diff": "1", "voltage": "-2", "resistance": "1"}
5
capacitance,mass,thermal_diff,time,voltage
m·t·α·U·C_e
em,mechanics,thermo
m·t⁻¹·α·U⁻²·C_e⁻¹
m = k₀ · t·α⁻¹·U²·C_e
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "voltage": "-2", "capacitance": "-1"}
5
inductance,mass,thermal_diff,time,voltage
m·t·α·U·L_e
em,mechanics,thermo
m·t⁻³·α·U⁻²·L_e
m = k₀ · t³·α⁻¹·U²·L_e⁻¹
null
0
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "thermal_diff": "1", "voltage": "-2", "inductance": "1"}
5
mass,permittivity,thermal_diff,time,voltage
m·t·α·U·ε
em,mechanics,thermo
m²·t⁻³·α·U⁻⁴·ε⁻²
α = k₀ · m⁻²·t³·U⁴·ε²
null
0
3
4
12
10.6
-1.6
false
{"mass": "2", "time": "-3", "thermal_diff": "1", "voltage": "-4", "permittivity": "-2"}
5
mass,permeability,thermal_diff,time,voltage
m·t·α·U·μ₀
em,mechanics,thermo
m²·t⁻⁵·α³·U⁻⁴·μ₀²
m = k₀ · t⁵ᐟ²·α⁻³ᐟ²·U²·μ₀⁻¹
null
0
3
5
16
13.9
-4.9
false
{"mass": "2", "time": "-5", "thermal_diff": "3", "voltage": "-4", "permeability": "2"}
5
conductivity,mass,thermal_diff,time,voltage
m·t·α·U·σ
em,mechanics,thermo
m²·t⁻⁵·α·U⁻⁴·σ⁻²
α = k₀ · m⁻²·t⁵·U⁴·σ²
null
0
3
5
14
12.5
-3.5
false
{"mass": "2", "time": "-5", "thermal_diff": "1", "voltage": "-4", "conductivity": "-2"}
5
mass,resistivity,thermal_diff,time,voltage
m·t·α·U·ρ_e
em,mechanics,thermo
m²·t⁻⁵·α·U⁻⁴·ρ_e²
α = k₀ · m⁻²·t⁵·U⁴·ρ_e⁻²
null
0
3
5
14
12.5
-3.5
false
{"mass": "2", "time": "-5", "thermal_diff": "1", "voltage": "-4", "resistivity": "2"}
5
elem_charge,mass,thermal_diff,time,voltage
m·t·α·U·e
constants,em,mechanics,thermo
m·t⁻¹·α·U⁻¹·e⁻¹
m = k₀ · t·α⁻¹·U·e
null
1
4
1
5
4.8
3.7
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "voltage": "-1", "elem_charge": "-1"}
5
bfield,mass,resistance,thermal_diff,time
m·t·α·R·B
em,mechanics,thermo
m·t⁻²·α⁻¹·R·B⁻²
m = k₀ · t²·α·R⁻¹·B²
null
0
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-2", "thermal_diff": "-1", "resistance": "1", "bfield": "-2"}
5
bfield,capacitance,mass,thermal_diff,time
m·t·α·C_e·B
em,mechanics,thermo
m·t⁻¹·α⁻¹·C_e⁻¹·B⁻²
m = k₀ · t·α·C_e·B²
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "thermal_diff": "-1", "capacitance": "-1", "bfield": "-2"}
5
capacitance,mag_flux,mass,thermal_diff,time
m·t·α·C_e·Φ
em,mechanics,thermo
m·t·α·C_e⁻¹·Φ⁻²
m = k₀ · t⁻¹·α⁻¹·C_e·Φ²
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "1", "thermal_diff": "1", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,elem_charge,mass,thermal_diff,time
m·t·α·C_e·e
constants,em,mechanics,thermo
m·t⁻¹·α·C_e·e⁻²
m = k₀ · t·α⁻¹·C_e⁻¹·e²
null
1
4
2
6
6
2.5
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "capacitance": "1", "elem_charge": "-2"}
5
bfield,inductance,mass,thermal_diff,time
m·t·α·L_e·B
em,mechanics,thermo
m·t⁻³·α⁻¹·L_e·B⁻²
m = k₀ · t³·α·L_e⁻¹·B²
null
0
3
3
8
7.3
1.7
false
{"mass": "1", "time": "-3", "thermal_diff": "-1", "inductance": "1", "bfield": "-2"}
5
inductance,mag_flux,mass,thermal_diff,time
m·t·α·L_e·Φ
em,mechanics,thermo
m·t⁻¹·α·L_e·Φ⁻²
m = k₀ · t·α⁻¹·L_e⁻¹·Φ²
null
0
3
2
6
5.4
3.6
false
{"mass": "1", "time": "-1", "thermal_diff": "1", "inductance": "1", "mag_flux": "-2"}
5
elem_charge,inductance,mass,thermal_diff,time
m·t·α·L_e·e
constants,em,mechanics,thermo
m·t·α·L_e⁻¹·e⁻²
m = k₀ · t⁻¹·α⁻¹·L_e·e²
null
1
4
2
6
6
2.5
false
{"mass": "1", "time": "1", "thermal_diff": "1", "inductance": "-1", "elem_charge": "-2"}
5
efield,mass,permittivity,thermal_diff,time
m·t·α·E_f·ε
em,mechanics,thermo
m²·t⁻⁵·α⁻¹·E_f⁻⁴·ε⁻²
α = k₀ · m²·t⁻⁵·E_f⁻⁴·ε⁻²
null
0
3
5
14
12.5
-3.5
false
{"mass": "2", "time": "-5", "thermal_diff": "-1", "efield": "-4", "permittivity": "-2"}
5
efield,mass,permeability,thermal_diff,time
m·t·α·E_f·μ₀
em,mechanics,thermo
m²·t⁻⁷·α·E_f⁻⁴·μ₀²
α = k₀ · m⁻²·t⁷·E_f⁴·μ₀⁻²
null
0
3
7
16
14.9
-5.9
false
{"mass": "2", "time": "-7", "thermal_diff": "1", "efield": "-4", "permeability": "2"}
5
conductivity,efield,mass,thermal_diff,time
m·t·α·E_f·σ
em,mechanics,thermo
m²·t⁻⁷·α⁻¹·E_f⁻⁴·σ⁻²
α = k₀ · m²·t⁻⁷·E_f⁻⁴·σ⁻²
null
0
3
7
16
14.9
-5.9
false
{"mass": "2", "time": "-7", "thermal_diff": "-1", "efield": "-4", "conductivity": "-2"}
5
efield,mass,resistivity,thermal_diff,time
m·t·α·E_f·ρ_e
em,mechanics,thermo
m²·t⁻⁷·α⁻¹·E_f⁻⁴·ρ_e²
α = k₀ · m²·t⁻⁷·E_f⁻⁴·ρ_e²
null
0
3
7
16
14.9
-5.9
false
{"mass": "2", "time": "-7", "thermal_diff": "-1", "efield": "-4", "resistivity": "2"}
5
efield,elem_charge,mass,thermal_diff,time
m·t·α·E_f·e
constants,em,mechanics,thermo
m²·t⁻³·α·E_f⁻²·e⁻²
α = k₀ · m⁻²·t³·E_f²·e²
null
1
4
3
10
9.3
-0.8
false
{"mass": "2", "time": "-3", "thermal_diff": "1", "efield": "-2", "elem_charge": "-2"}
5
bfield,mass,permittivity,thermal_diff,time
m·t·α·B·ε
em,mechanics,thermo
m²·t⁻³·α⁻³·B⁻⁴·ε⁻²
m = k₀ · t³ᐟ²·α³ᐟ²·B²·ε
null
0
3
4
14
12
-3
false
{"mass": "2", "time": "-3", "thermal_diff": "-3", "bfield": "-4", "permittivity": "-2"}
5
bfield,mass,permeability,thermal_diff,time
m·t·α·B·μ₀
em,mechanics,thermo
m²·t⁻⁵·α⁻¹·B⁻⁴·μ₀²
α = k₀ · m²·t⁻⁵·B⁻⁴·μ₀²
null
0
3
5
14
12.5
-3.5
false
{"mass": "2", "time": "-5", "thermal_diff": "-1", "bfield": "-4", "permeability": "2"}
5
bfield,conductivity,mass,thermal_diff,time
m·t·α·B·σ
em,mechanics,thermo
m²·t⁻⁵·α⁻³·B⁻⁴·σ⁻²
m = k₀ · t⁵ᐟ²·α³ᐟ²·B²·σ
null
0
3
5
16
13.9
-4.9
false
{"mass": "2", "time": "-5", "thermal_diff": "-3", "bfield": "-4", "conductivity": "-2"}