Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
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pi
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stringlengths
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19 values
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int64
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int64
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int64
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float64
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float64
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bool
2 classes
exponents
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27
177
6
capacitance,concentration,conductivity,mass,molar_energy,time
m·t·C_e·σ·c_n·E_m
chemistry,em,mechanics
m·t⁻¹·C_e⁻¹·σ·c_n⁻¹·E_m⁻¹
m = k₀ · t·C_e·σ⁻¹·c_n·E_m
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "capacitance": "-1", "conductivity": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,capacitance,conductivity,gas_constant,mass,molar_energy,time
m·t·C_e·σ·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·C_e²·σ⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁴·C_e⁻²·σ²·E_m·R⁻¹·k_B
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "-4", "capacitance": "2", "conductivity": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
capacitance,cat_activity,conductivity,mass,molar_energy,time
m·t·C_e·σ·E_m·z
chemistry,em,mechanics
m·t⁻⁵·C_e²·σ⁻²·E_m⁻¹·z⁻¹
m = k₀ · t⁵·C_e⁻²·σ²·E_m·z
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "time": "-5", "capacitance": "2", "conductivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,capacitance,conductivity,mass,molar_energy,time
m·t·C_e·σ·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·C_e²·σ⁻²·E_m⁻¹·N_A
m = k₀ · t⁴·C_e⁻²·σ²·E_m·N_A⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "capacitance": "2", "conductivity": "-2", "molar_energy": "-1", "avogadro": "1"}
5
capacitance,conductivity,grav_const,mass,time
m·t·C_e·σ·G
constants,em,mechanics
m·t⁵·C_e⁻³·σ³·G
m = k₀ · t⁻⁵·C_e³·σ⁻³·G⁻¹
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "time": "5", "capacitance": "-3", "conductivity": "3", "grav_const": "1"}
5
capacitance,conductivity,mass,planck,time
m·t·C_e·σ·h
constants,em,mechanics
m·t⁻³·C_e²·σ⁻²·h⁻¹
m = k₀ · t³·C_e⁻²·σ²·h
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "capacitance": "2", "conductivity": "-2", "planck": "-1"}
5
capacitance,conductivity,elem_charge,mass,time
m·t·C_e·σ·e
constants,em,mechanics
m·t⁻⁴·C_e³·σ⁻²·e⁻²
m = k₀ · t⁴·C_e⁻³·σ²·e²
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "-4", "capacitance": "3", "conductivity": "-2", "elem_charge": "-2"}
6
amount,capacitance,mass,molar_energy,resistivity,time
m·t·C_e·ρ_e·n·E_m
chemistry,em,mechanics
m·t⁻⁴·C_e²·ρ_e²·n⁻¹·E_m⁻¹
m = k₀ · t⁴·C_e⁻²·ρ_e⁻²·n·E_m
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "time": "-4", "capacitance": "2", "resistivity": "2", "amount": "-1", "molar_energy": "-1"}
6
capacitance,concentration,mass,molar_mass,resistivity,time
m·t·C_e·ρ_e·M_m·c_n
chemistry,em,mechanics
m·t³·C_e⁻³·ρ_e⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁻³·C_e³·ρ_e³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "3", "capacitance": "-3", "resistivity": "-3", "molar_mass": "-1", "concentration": "-1"}
6
capacitance,concentration,mass,molar_energy,resistivity,time
m·t·C_e·ρ_e·c_n·E_m
chemistry,em,mechanics
m·t⁻¹·C_e⁻¹·ρ_e⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t·C_e·ρ_e·c_n·E_m
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "time": "-1", "capacitance": "-1", "resistivity": "-1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,capacitance,gas_constant,mass,molar_energy,resistivity,time
m·t·C_e·ρ_e·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻⁴·C_e²·ρ_e²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁴·C_e⁻²·ρ_e⁻²·E_m·R⁻¹·k_B
null
1
4
4
12
11.8
-3.3
false
{"mass": "1", "time": "-4", "capacitance": "2", "resistivity": "2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
capacitance,cat_activity,mass,molar_energy,resistivity,time
m·t·C_e·ρ_e·E_m·z
chemistry,em,mechanics
m·t⁻⁵·C_e²·ρ_e²·E_m⁻¹·z⁻¹
m = k₀ · t⁵·C_e⁻²·ρ_e⁻²·E_m·z
null
0
3
5
12
11.4
-2.4
false
{"mass": "1", "time": "-5", "capacitance": "2", "resistivity": "2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,capacitance,mass,molar_energy,resistivity,time
m·t·C_e·ρ_e·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻⁴·C_e²·ρ_e²·E_m⁻¹·N_A
m = k₀ · t⁴·C_e⁻²·ρ_e⁻²·E_m·N_A⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "1", "time": "-4", "capacitance": "2", "resistivity": "2", "molar_energy": "-1", "avogadro": "1"}
5
capacitance,grav_const,mass,resistivity,time
m·t·C_e·ρ_e·G
constants,em,mechanics
m·t⁵·C_e⁻³·ρ_e⁻³·G
m = k₀ · t⁻⁵·C_e³·ρ_e³·G⁻¹
null
1
3
5
13
11.8
-2.8
false
{"mass": "1", "time": "5", "capacitance": "-3", "resistivity": "-3", "grav_const": "1"}
5
capacitance,mass,planck,resistivity,time
m·t·C_e·ρ_e·h
constants,em,mechanics
m·t⁻³·C_e²·ρ_e²·h⁻¹
m = k₀ · t³·C_e⁻²·ρ_e⁻²·h
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-3", "capacitance": "2", "resistivity": "2", "planck": "-1"}
5
capacitance,elem_charge,mass,resistivity,time
m·t·C_e·ρ_e·e
constants,em,mechanics
m·t⁻⁴·C_e³·ρ_e²·e⁻²
m = k₀ · t⁴·C_e⁻³·ρ_e⁻²·e²
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "-4", "capacitance": "3", "resistivity": "2", "elem_charge": "-2"}
6
amount,capacitance,concentration,elem_charge,mass,time
m·t·C_e·n·c_n·e
chemistry,constants,em,mechanics
m³·t⁻⁶·C_e³·n²·c_n⁻²·e⁻⁶
n = k₀ · m⁻³ᐟ²·t³·C_e⁻³ᐟ²·c_n·e³
null
1
4
6
22
19.5
-11
false
{"mass": "3", "time": "-6", "capacitance": "3", "amount": "2", "concentration": "-2", "elem_charge": "-6"}
6
capacitance,concentration,elem_charge,mass,molar_mass,time
m·t·C_e·M_m·c_n·e
chemistry,constants,em,mechanics
m⁵·t⁻⁶·C_e³·M_m⁻²·c_n⁻²·e⁻⁶
M_m = k₀ · m⁵ᐟ²·t⁻³·C_e³ᐟ²·c_n⁻¹·e⁻³
null
1
4
6
24
20.9
-12.4
false
{"mass": "5", "time": "-6", "capacitance": "3", "molar_mass": "-2", "concentration": "-2", "elem_charge": "-6"}
6
capacitance,concentration,elem_charge,mass,molar_energy,time
m·t·C_e·c_n·E_m·e
chemistry,constants,em,mechanics
m³·t⁻⁶·C_e·c_n⁻²·E_m⁻²·e⁻²
C_e = k₀ · m⁻³·t⁶·c_n²·E_m²·e²
null
1
4
6
16
15.3
-6.8
false
{"mass": "3", "time": "-6", "capacitance": "1", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-2"}
7
boltzmann,capacitance,concentration,elem_charge,gas_constant,mass,time
m·t·C_e·c_n·R·k_B·e
chemistry,constants,em,mechanics
m³·t⁻⁶·C_e³·c_n⁻²·R⁻²·k_B²·e⁻⁶
c_n = k₀ · m³ᐟ²·t⁻³·C_e³ᐟ²·R⁻¹·k_B·e⁻³
null
2
4
6
24
22.2
-15.2
false
{"mass": "3", "time": "-6", "capacitance": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2", "elem_charge": "-6"}
6
capacitance,cat_activity,concentration,elem_charge,mass,time
m·t·C_e·c_n·z·e
chemistry,constants,em,mechanics
m³·t⁻⁴·C_e³·c_n⁻²·z²·e⁻⁶
c_n = k₀ · m³ᐟ²·t⁻²·C_e³ᐟ²·z·e⁻³
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "time": "-4", "capacitance": "3", "concentration": "-2", "cat_activity": "2", "elem_charge": "-6"}
6
avogadro,capacitance,concentration,elem_charge,mass,time
m·t·C_e·c_n·e·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·C_e³·c_n⁻²·e⁻⁶·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·C_e³ᐟ²·e⁻³·N_A⁻¹
null
2
4
6
22
20.5
-13.5
false
{"mass": "3", "time": "-6", "capacitance": "3", "concentration": "-2", "elem_charge": "-6", "avogadro": "-2"}
6
capacitance,elem_charge,illuminance,lum_intensity,mass,time
m·t·C_e·I_v·E_v·e
constants,em,mechanics,photometry
m·t⁻²·C_e·I_v·E_v⁻¹·e⁻²
m = k₀ · t²·C_e⁻¹·I_v⁻¹·E_v·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "-2", "capacitance": "1", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-2"}
6
capacitance,elem_charge,lum_intensity,luminance,mass,time
m·t·C_e·I_v·L_v·e
constants,em,mechanics,photometry
m·t⁻²·C_e·I_v·L_v⁻¹·e⁻²
m = k₀ · t²·C_e⁻¹·I_v⁻¹·L_v·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "-2", "capacitance": "1", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-2"}
5
capacitance,elem_charge,grav_const,mass,time
m·t·C_e·G·e
constants,em,mechanics
m⁵·t⁻²·C_e³·G²·e⁻⁶
t = k₀ · m⁵ᐟ²·C_e³ᐟ²·G·e⁻³
null
2
3
6
18
16.8
-9.3
false
{"mass": "5", "time": "-2", "capacitance": "3", "grav_const": "2", "elem_charge": "-6"}
4
efield,inductance,mass,time
m·t·L_e·E_f
em,mechanics
m·t⁻⁴·L_e·E_f⁻²
m = k₀ · t⁴·L_e⁻¹·E_f²
null
0
2
4
8
6.9
2.6
false
{"mass": "1", "time": "-4", "inductance": "1", "efield": "-2"}
5
bfield,inductance,mag_flux,mass,time
m·t·L_e·B·Φ
em,mechanics
m·t⁻²·L_e·B⁻¹·Φ⁻¹
m = k₀ · t²·L_e⁻¹·B·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "time": "-2", "inductance": "1", "bfield": "-1", "mag_flux": "-1"}
5
bfield,inductance,mass,permittivity,time
m·t·L_e·B·ε
em,mechanics
m·t⁻⁶·L_e³·B⁻²·ε²
m = k₀ · t⁶·L_e⁻³·B²·ε⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "time": "-6", "inductance": "3", "bfield": "-2", "permittivity": "2"}
5
bfield,inductance,mass,permeability,time
m·t·L_e·B·μ₀
em,mechanics
m·t⁻²·L_e⁻¹·B⁻²·μ₀²
m = k₀ · t²·L_e·B²·μ₀⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "-2", "inductance": "-1", "bfield": "-2", "permeability": "2"}
5
bfield,conductivity,inductance,mass,time
m·t·L_e·B·σ
em,mechanics
m·t⁻⁴·L_e³·B⁻²·σ²
m = k₀ · t⁴·L_e⁻³·B²·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "inductance": "3", "bfield": "-2", "conductivity": "2"}
5
bfield,inductance,mass,resistivity,time
m·t·L_e·B·ρ_e
em,mechanics
m·t⁻⁴·L_e³·B⁻²·ρ_e⁻²
m = k₀ · t⁴·L_e⁻³·B²·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "time": "-4", "inductance": "3", "bfield": "-2", "resistivity": "-2"}
6
amount,bfield,concentration,inductance,mass,time
m·t·L_e·B·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·L_e³·B⁻⁶·n⁻²·c_n²
n = k₀ · m³ᐟ²·t⁻³·L_e³ᐟ²·B⁻³·c_n
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "time": "-6", "inductance": "3", "bfield": "-6", "amount": "-2", "concentration": "2"}
6
amount,bfield,inductance,mass,molar_energy,time
m·t·L_e·B·n·E_m
chemistry,em,mechanics
m²·t⁻⁴·L_e·B⁻²·n⁻¹·E_m⁻¹
L_e = k₀ · m⁻²·t⁴·B²·n·E_m
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "time": "-4", "inductance": "1", "bfield": "-2", "amount": "-1", "molar_energy": "-1"}
6
bfield,concentration,inductance,mass,molar_mass,time
m·t·L_e·B·M_m·c_n
chemistry,em,mechanics
m·t⁻⁶·L_e³·B⁻⁶·M_m²·c_n²
m = k₀ · t⁶·L_e⁻³·B⁶·M_m⁻²·c_n⁻²
null
0
3
6
20
17.5
-8.5
false
{"mass": "1", "time": "-6", "inductance": "3", "bfield": "-6", "molar_mass": "2", "concentration": "2"}
6
bfield,inductance,mass,molar_energy,molar_mass,time
m·t·L_e·B·M_m·E_m
chemistry,em,mechanics
m·t⁻⁴·L_e·B⁻²·M_m·E_m⁻¹
m = k₀ · t⁴·L_e⁻¹·B²·M_m⁻¹·E_m
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "time": "-4", "inductance": "1", "bfield": "-2", "molar_mass": "1", "molar_energy": "-1"}
6
bfield,concentration,inductance,mass,molar_energy,time
m·t·L_e·B·c_n·E_m
chemistry,em,mechanics
m·t⁻²·L_e⁻¹·B²·c_n⁻²·E_m⁻²
m = k₀ · t²·L_e·B⁻²·c_n²·E_m²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "time": "-2", "inductance": "-1", "bfield": "2", "concentration": "-2", "molar_energy": "-2"}
7
bfield,boltzmann,concentration,gas_constant,inductance,mass,time
m·t·L_e·B·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·L_e³·B⁻⁶·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·t³·L_e⁻³ᐟ²·B³·R⁻¹·k_B
null
1
4
6
24
21.2
-12.7
false
{"mass": "3", "time": "-6", "inductance": "3", "bfield": "-6", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
bfield,cat_activity,concentration,inductance,mass,time
m·t·L_e·B·c_n·z
chemistry,em,mechanics
m³·t⁻⁸·L_e³·B⁻⁶·c_n²·z⁻²
c_n = k₀ · m⁻³ᐟ²·t⁴·L_e⁻³ᐟ²·B³·z
null
0
3
8
24
21.3
-12.3
false
{"mass": "3", "time": "-8", "inductance": "3", "bfield": "-6", "concentration": "2", "cat_activity": "-2"}
6
avogadro,bfield,concentration,inductance,mass,time
m·t·L_e·B·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·L_e³·B⁻⁶·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·t³·L_e⁻³ᐟ²·B³·N_A⁻¹
null
1
4
6
22
19.5
-11
false
{"mass": "3", "time": "-6", "inductance": "3", "bfield": "-6", "concentration": "2", "avogadro": "2"}
7
bfield,boltzmann,gas_constant,inductance,mass,molar_energy,time
m·t·L_e·B·E_m·R·k_B
chemistry,constants,em,mechanics
m²·t⁻⁴·L_e·B⁻²·E_m⁻¹·R·k_B⁻¹
L_e = k₀ · m⁻²·t⁴·B²·E_m·R⁻¹·k_B
null
1
4
4
12
11.8
-3.3
false
{"mass": "2", "time": "-4", "inductance": "1", "bfield": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
bfield,cat_activity,inductance,mass,molar_energy,time
m·t·L_e·B·E_m·z
chemistry,em,mechanics
m²·t⁻⁵·L_e·B⁻²·E_m⁻¹·z⁻¹
L_e = k₀ · m⁻²·t⁵·B²·E_m·z
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "time": "-5", "inductance": "1", "bfield": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,bfield,inductance,mass,molar_energy,time
m·t·L_e·B·E_m·N_A
chemistry,constants,em,mechanics
m²·t⁻⁴·L_e·B⁻²·E_m⁻¹·N_A
L_e = k₀ · m⁻²·t⁴·B²·E_m·N_A⁻¹
null
1
4
4
11
10.8
-2.3
false
{"mass": "2", "time": "-4", "inductance": "1", "bfield": "-2", "molar_energy": "-1", "avogadro": "1"}
6
bfield,illuminance,inductance,lum_intensity,mass,time
m·t·L_e·B·I_v·E_v
em,mechanics,photometry
m·t⁻²·L_e·B⁻²·I_v⁻¹·E_v
m = k₀ · t²·L_e⁻¹·B²·I_v·E_v⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "inductance": "1", "bfield": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
bfield,inductance,lum_intensity,luminance,mass,time
m·t·L_e·B·I_v·L_v
em,mechanics,photometry
m·t⁻²·L_e·B⁻²·I_v⁻¹·L_v
m = k₀ · t²·L_e⁻¹·B²·I_v·L_v⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "inductance": "1", "bfield": "-2", "lum_intensity": "-1", "luminance": "1"}
5
bfield,inductance,light_speed,mass,time
m·t·L_e·B·c₀
constants,em,mechanics
m·t⁻⁴·L_e·B⁻²·c₀⁻²
m = k₀ · t⁴·L_e⁻¹·B²·c₀²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "time": "-4", "inductance": "1", "bfield": "-2", "light_speed": "-2"}
5
bfield,grav_const,inductance,mass,time
m·t·L_e·B·G
constants,em,mechanics
m·t⁻¹⁰·L_e³·B⁻⁶·G⁻²
m = k₀ · t¹⁰·L_e⁻³·B⁶·G²
null
1
3
10
22
20.6
-11.6
false
{"mass": "1", "time": "-10", "inductance": "3", "bfield": "-6", "grav_const": "-2"}
5
bfield,inductance,mass,planck,time
m·t·L_e·B·h
constants,em,mechanics
m²·t⁻³·L_e·B⁻²·h⁻¹
L_e = k₀ · m⁻²·t³·B²·h
null
1
3
3
9
8
1
false
{"mass": "2", "time": "-3", "inductance": "1", "bfield": "-2", "planck": "-1"}
5
inductance,mag_flux,mass,permittivity,time
m·t·L_e·Φ·ε
em,mechanics
m·t²·L_e⁻¹·Φ⁻²·ε⁻²
m = k₀ · t⁻²·L_e·Φ²·ε²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "time": "2", "inductance": "-1", "mag_flux": "-2", "permittivity": "-2"}
5
inductance,mag_flux,mass,permeability,time
m·t·L_e·Φ·μ₀
em,mechanics
m·t⁻²·L_e³·Φ⁻²·μ₀⁻²
m = k₀ · t²·L_e⁻³·Φ²·μ₀²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "time": "-2", "inductance": "3", "mag_flux": "-2", "permeability": "-2"}
6
amount,concentration,inductance,mag_flux,mass,time
m·t·L_e·Φ·n·c_n
chemistry,em,mechanics
m³·t⁻⁶·L_e³·Φ⁻⁶·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·t³·L_e⁻³ᐟ²·Φ³·c_n
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "time": "-6", "inductance": "3", "mag_flux": "-6", "amount": "2", "concentration": "-2"}
6
concentration,inductance,mag_flux,mass,molar_mass,time
m·t·L_e·Φ·M_m·c_n
chemistry,em,mechanics
m⁵·t⁻⁶·L_e³·Φ⁻⁶·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·t⁻³·L_e³ᐟ²·Φ⁻³·c_n⁻¹
null
0
3
6
24
20.3
-11.3
false
{"mass": "5", "time": "-6", "inductance": "3", "mag_flux": "-6", "molar_mass": "-2", "concentration": "-2"}
6
concentration,inductance,mag_flux,mass,molar_energy,time
m·t·L_e·Φ·c_n·E_m
chemistry,em,mechanics
m³·t⁻⁶·L_e·Φ⁻²·c_n⁻²·E_m⁻²
L_e = k₀ · m⁻³·t⁶·Φ²·c_n²·E_m²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "time": "-6", "inductance": "1", "mag_flux": "-2", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,concentration,gas_constant,inductance,mag_flux,mass,time
m·t·L_e·Φ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·t⁻⁶·L_e³·Φ⁻⁶·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·t⁻³·L_e³ᐟ²·Φ⁻³·R⁻¹·k_B
null
1
4
6
24
21.2
-12.7
false
{"mass": "3", "time": "-6", "inductance": "3", "mag_flux": "-6", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
cat_activity,concentration,inductance,mag_flux,mass,time
m·t·L_e·Φ·c_n·z
chemistry,em,mechanics
m³·t⁻⁴·L_e³·Φ⁻⁶·c_n⁻²·z²
c_n = k₀ · m³ᐟ²·t⁻²·L_e³ᐟ²·Φ⁻³·z
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "time": "-4", "inductance": "3", "mag_flux": "-6", "concentration": "-2", "cat_activity": "2"}
6
avogadro,concentration,inductance,mag_flux,mass,time
m·t·L_e·Φ·c_n·N_A
chemistry,constants,em,mechanics
m³·t⁻⁶·L_e³·Φ⁻⁶·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·t⁻³·L_e³ᐟ²·Φ⁻³·N_A⁻¹
null
1
4
6
22
19.5
-11
false
{"mass": "3", "time": "-6", "inductance": "3", "mag_flux": "-6", "concentration": "-2", "avogadro": "-2"}
6
illuminance,inductance,lum_intensity,mag_flux,mass,time
m·t·L_e·Φ·I_v·E_v
em,mechanics,photometry
m·t⁻²·L_e·Φ⁻²·I_v·E_v⁻¹
m = k₀ · t²·L_e⁻¹·Φ²·I_v⁻¹·E_v
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "inductance": "1", "mag_flux": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
inductance,lum_intensity,luminance,mag_flux,mass,time
m·t·L_e·Φ·I_v·L_v
em,mechanics,photometry
m·t⁻²·L_e·Φ⁻²·I_v·L_v⁻¹
m = k₀ · t²·L_e⁻¹·Φ²·I_v⁻¹·L_v
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-2", "inductance": "1", "mag_flux": "-2", "lum_intensity": "1", "luminance": "-1"}
5
grav_const,inductance,mag_flux,mass,time
m·t·L_e·Φ·G
constants,em,mechanics
m⁵·t⁻²·L_e³·Φ⁻⁶·G²
t = k₀ · m⁵ᐟ²·L_e³ᐟ²·Φ⁻³·G
null
1
3
6
18
15.8
-6.8
false
{"mass": "5", "time": "-2", "inductance": "3", "mag_flux": "-6", "grav_const": "2"}
6
amount,inductance,mass,molar_energy,permittivity,time
m·t·L_e·ε·n·E_m
chemistry,em,mechanics
m·t²·L_e⁻²·ε⁻²·n⁻¹·E_m⁻¹
m = k₀ · t⁻²·L_e²·ε²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "2", "inductance": "-2", "permittivity": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,inductance,mass,molar_mass,permittivity,time
m·t·L_e·ε·M_m·c_n
chemistry,em,mechanics
m·t⁻⁶·L_e³·ε³·M_m⁻¹·c_n⁻¹
m = k₀ · t⁶·L_e⁻³·ε⁻³·M_m·c_n
null
0
3
6
15
14
-5
false
{"mass": "1", "time": "-6", "inductance": "3", "permittivity": "3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,inductance,mass,molar_energy,permittivity,time
m·t·L_e·ε·c_n·E_m
chemistry,em,mechanics
m·t⁻⁴·L_e·ε·c_n⁻¹·E_m⁻¹
m = k₀ · t⁴·L_e⁻¹·ε⁻¹·c_n·E_m
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "time": "-4", "inductance": "1", "permittivity": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,gas_constant,inductance,mass,molar_energy,permittivity,time
m·t·L_e·ε·E_m·R·k_B
chemistry,constants,em,mechanics
m·t²·L_e⁻²·ε⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t⁻²·L_e²·ε²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "2", "inductance": "-2", "permittivity": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,inductance,mass,molar_energy,permittivity,time
m·t·L_e·ε·E_m·z
chemistry,em,mechanics
m·t·L_e⁻²·ε⁻²·E_m⁻¹·z⁻¹
m = k₀ · t⁻¹·L_e²·ε²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "1", "inductance": "-2", "permittivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,inductance,mass,molar_energy,permittivity,time
m·t·L_e·ε·E_m·N_A
chemistry,constants,em,mechanics
m·t²·L_e⁻²·ε⁻²·E_m⁻¹·N_A
m = k₀ · t⁻²·L_e²·ε²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "2", "inductance": "-2", "permittivity": "-2", "molar_energy": "-1", "avogadro": "1"}
5
grav_const,inductance,mass,permittivity,time
m·t·L_e·ε·G
constants,em,mechanics
m·t⁻⁴·L_e³·ε³·G
m = k₀ · t⁴·L_e⁻³·ε⁻³·G⁻¹
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "-4", "inductance": "3", "permittivity": "3", "grav_const": "1"}
5
inductance,mass,permittivity,planck,time
m·t·L_e·ε·h
constants,em,mechanics
m·t³·L_e⁻²·ε⁻²·h⁻¹
m = k₀ · t⁻³·L_e²·ε²·h
null
1
3
3
9
8
1
false
{"mass": "1", "time": "3", "inductance": "-2", "permittivity": "-2", "planck": "-1"}
5
elem_charge,inductance,mass,permittivity,time
m·t·L_e·ε·e
constants,em,mechanics
m·t⁴·L_e⁻³·ε⁻²·e⁻²
m = k₀ · t⁻⁴·L_e³·ε²·e²
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "time": "4", "inductance": "-3", "permittivity": "-2", "elem_charge": "-2"}
6
amount,inductance,mass,molar_energy,permeability,time
m·t·L_e·μ₀·n·E_m
chemistry,em,mechanics
m·t⁻²·L_e²·μ₀⁻²·n⁻¹·E_m⁻¹
m = k₀ · t²·L_e⁻²·μ₀²·n·E_m
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "time": "-2", "inductance": "2", "permeability": "-2", "amount": "-1", "molar_energy": "-1"}
6
concentration,inductance,mass,molar_energy,permeability,time
m·t·L_e·μ₀·c_n·E_m
chemistry,em,mechanics
m·t⁻²·L_e⁻¹·μ₀·c_n⁻¹·E_m⁻¹
m = k₀ · t²·L_e·μ₀⁻¹·c_n·E_m
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "time": "-2", "inductance": "-1", "permeability": "1", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,gas_constant,inductance,mass,molar_energy,permeability,time
m·t·L_e·μ₀·E_m·R·k_B
chemistry,constants,em,mechanics
m·t⁻²·L_e²·μ₀⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · t²·L_e⁻²·μ₀²·E_m·R⁻¹·k_B
null
1
4
2
10
9.4
-0.9
false
{"mass": "1", "time": "-2", "inductance": "2", "permeability": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,inductance,mass,molar_energy,permeability,time
m·t·L_e·μ₀·E_m·z
chemistry,em,mechanics
m·t⁻³·L_e²·μ₀⁻²·E_m⁻¹·z⁻¹
m = k₀ · t³·L_e⁻²·μ₀²·E_m·z
null
0
3
3
10
9
0
false
{"mass": "1", "time": "-3", "inductance": "2", "permeability": "-2", "molar_energy": "-1", "cat_activity": "-1"}
6
avogadro,inductance,mass,molar_energy,permeability,time
m·t·L_e·μ₀·E_m·N_A
chemistry,constants,em,mechanics
m·t⁻²·L_e²·μ₀⁻²·E_m⁻¹·N_A
m = k₀ · t²·L_e⁻²·μ₀²·E_m·N_A⁻¹
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "time": "-2", "inductance": "2", "permeability": "-2", "molar_energy": "-1", "avogadro": "1"}
5
grav_const,inductance,mass,permeability,time
m·t·L_e·μ₀·G
constants,em,mechanics
m·t²·L_e⁻³·μ₀³·G
m = k₀ · t⁻²·L_e³·μ₀⁻³·G⁻¹
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "inductance": "-3", "permeability": "3", "grav_const": "1"}
5
inductance,mass,permeability,planck,time
m·t·L_e·μ₀·h
constants,em,mechanics
m·t⁻¹·L_e²·μ₀⁻²·h⁻¹
m = k₀ · t·L_e⁻²·μ₀²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "-1", "inductance": "2", "permeability": "-2", "planck": "-1"}
6
concentration,conductivity,inductance,mass,molar_mass,time
m·t·L_e·σ·M_m·c_n
chemistry,em,mechanics
m·t⁻³·L_e³·σ³·M_m⁻¹·c_n⁻¹
m = k₀ · t³·L_e⁻³·σ⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "-3", "inductance": "3", "conductivity": "3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,conductivity,inductance,mass,molar_energy,time
m·t·L_e·σ·c_n·E_m
chemistry,em,mechanics
m·t⁻³·L_e·σ·c_n⁻¹·E_m⁻¹
m = k₀ · t³·L_e⁻¹·σ⁻¹·c_n·E_m
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "inductance": "1", "conductivity": "1", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,conductivity,inductance,mass,molar_energy,time
m·t·L_e·σ·E_m·z
chemistry,em,mechanics
m·t⁻¹·L_e⁻²·σ⁻²·E_m⁻¹·z⁻¹
m = k₀ · t·L_e²·σ²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-1", "inductance": "-2", "conductivity": "-2", "molar_energy": "-1", "cat_activity": "-1"}
5
conductivity,grav_const,inductance,mass,time
m·t·L_e·σ·G
constants,em,mechanics
m·t⁻¹·L_e³·σ³·G
m = k₀ · t·L_e⁻³·σ⁻³·G⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "inductance": "3", "conductivity": "3", "grav_const": "1"}
5
conductivity,inductance,mass,planck,time
m·t·L_e·σ·h
constants,em,mechanics
m·t·L_e⁻²·σ⁻²·h⁻¹
m = k₀ · t⁻¹·L_e²·σ²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "inductance": "-2", "conductivity": "-2", "planck": "-1"}
5
conductivity,elem_charge,inductance,mass,time
m·t·L_e·σ·e
constants,em,mechanics
m·t²·L_e⁻³·σ⁻²·e⁻²
m = k₀ · t⁻²·L_e³·σ²·e²
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "inductance": "-3", "conductivity": "-2", "elem_charge": "-2"}
6
concentration,inductance,mass,molar_mass,resistivity,time
m·t·L_e·ρ_e·M_m·c_n
chemistry,em,mechanics
m·t⁻³·L_e³·ρ_e⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · t³·L_e⁻³·ρ_e³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "-3", "inductance": "3", "resistivity": "-3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,inductance,mass,molar_energy,resistivity,time
m·t·L_e·ρ_e·c_n·E_m
chemistry,em,mechanics
m·t⁻³·L_e·ρ_e⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · t³·L_e⁻¹·ρ_e·c_n·E_m
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "inductance": "1", "resistivity": "-1", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,inductance,mass,molar_energy,resistivity,time
m·t·L_e·ρ_e·E_m·z
chemistry,em,mechanics
m·t⁻¹·L_e⁻²·ρ_e²·E_m⁻¹·z⁻¹
m = k₀ · t·L_e²·ρ_e⁻²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-1", "inductance": "-2", "resistivity": "2", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,inductance,mass,resistivity,time
m·t·L_e·ρ_e·G
constants,em,mechanics
m·t⁻¹·L_e³·ρ_e⁻³·G
m = k₀ · t·L_e⁻³·ρ_e³·G⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "inductance": "3", "resistivity": "-3", "grav_const": "1"}
5
inductance,mass,planck,resistivity,time
m·t·L_e·ρ_e·h
constants,em,mechanics
m·t·L_e⁻²·ρ_e²·h⁻¹
m = k₀ · t⁻¹·L_e²·ρ_e⁻²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "inductance": "-2", "resistivity": "2", "planck": "-1"}
5
elem_charge,inductance,mass,resistivity,time
m·t·L_e·ρ_e·e
constants,em,mechanics
m·t²·L_e⁻³·ρ_e²·e⁻²
m = k₀ · t⁻²·L_e³·ρ_e⁻²·e²
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "time": "2", "inductance": "-3", "resistivity": "2", "elem_charge": "-2"}
6
elem_charge,inductance,mass,molar_energy,molar_mass,time
m·t·L_e·M_m·E_m·e
chemistry,constants,em,mechanics
m·t²·L_e⁻¹·M_m⁻¹·E_m·e⁻²
m = k₀ · t⁻²·L_e·M_m·E_m⁻¹·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "time": "2", "inductance": "-1", "molar_mass": "-1", "molar_energy": "1", "elem_charge": "-2"}
6
concentration,elem_charge,inductance,mass,molar_energy,time
m·t·L_e·c_n·E_m·e
chemistry,constants,em,mechanics
m³·t⁻⁴·L_e⁻¹·c_n⁻²·E_m⁻²·e⁻²
L_e = k₀ · m³·t⁻⁴·c_n⁻²·E_m⁻²·e⁻²
null
1
4
4
14
12.9
-4.4
false
{"mass": "3", "time": "-4", "inductance": "-1", "concentration": "-2", "molar_energy": "-2", "elem_charge": "-2"}
6
cat_activity,concentration,elem_charge,inductance,mass,time
m·t·L_e·c_n·z·e
chemistry,constants,em,mechanics
m³·t²·L_e⁻³·c_n⁻²·z²·e⁻⁶
t = k₀ · m⁻³ᐟ²·L_e³ᐟ²·c_n·z⁻¹·e³
null
1
4
6
18
16.7
-8.2
false
{"mass": "3", "time": "2", "inductance": "-3", "concentration": "-2", "cat_activity": "2", "elem_charge": "-6"}
5
elem_charge,inductance,light_speed,mass,time
m·t·L_e·c₀·e
constants,em,mechanics
m·t²·L_e⁻¹·c₀²·e⁻²
m = k₀ · t⁻²·L_e·c₀⁻²·e²
null
2
3
2
8
7.8
-0.3
false
{"mass": "1", "time": "2", "inductance": "-1", "light_speed": "2", "elem_charge": "-2"}
5
elem_charge,grav_const,inductance,mass,time
m·t·L_e·G·e
constants,em,mechanics
m⁵·t⁴·L_e⁻³·G²·e⁻⁶
G = k₀ · m⁻⁵ᐟ²·t⁻²·L_e³ᐟ²·e³
null
2
3
6
20
18.2
-10.7
false
{"mass": "5", "time": "4", "inductance": "-3", "grav_const": "2", "elem_charge": "-6"}
5
bfield,efield,mass,permittivity,time
m·t·E_f·B·ε
em,mechanics
m·t⁻³·E_f⁻³·B·ε⁻¹
m = k₀ · t³·E_f³·B⁻¹·ε
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "time": "-3", "efield": "-3", "bfield": "1", "permittivity": "-1"}
5
bfield,efield,mass,permeability,time
m·t·E_f·B·μ₀
em,mechanics
m·t⁻³·E_f⁻¹·B⁻¹·μ₀
m = k₀ · t³·E_f·B·μ₀⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "time": "-3", "efield": "-1", "bfield": "-1", "permeability": "1"}
5
bfield,conductivity,efield,mass,time
m·t·E_f·B·σ
em,mechanics
m·t⁻⁴·E_f⁻³·B·σ⁻¹
m = k₀ · t⁴·E_f³·B⁻¹·σ
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "efield": "-3", "bfield": "1", "conductivity": "-1"}
5
bfield,efield,mass,resistivity,time
m·t·E_f·B·ρ_e
em,mechanics
m·t⁻⁴·E_f⁻³·B·ρ_e
m = k₀ · t⁴·E_f³·B⁻¹·ρ_e⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "time": "-4", "efield": "-3", "bfield": "1", "resistivity": "1"}
6
bfield,concentration,efield,mass,molar_mass,time
m·t·E_f·B·M_m·c_n
chemistry,em,mechanics
m·t⁻³·E_f⁻³·B³·M_m⁻¹·c_n⁻¹
m = k₀ · t³·E_f³·B⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "time": "-3", "efield": "-3", "bfield": "3", "molar_mass": "-1", "concentration": "-1"}
6
bfield,concentration,efield,mass,molar_energy,time
m·t·E_f·B·c_n·E_m
chemistry,em,mechanics
m·t⁻³·E_f⁻¹·B·c_n⁻¹·E_m⁻¹
m = k₀ · t³·E_f·B⁻¹·c_n·E_m
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "time": "-3", "efield": "-1", "bfield": "1", "concentration": "-1", "molar_energy": "-1"}
6
bfield,cat_activity,efield,mass,molar_energy,time
m·t·E_f·B·E_m·z
chemistry,em,mechanics
m·t⁻¹·E_f²·B⁻²·E_m⁻¹·z⁻¹
m = k₀ · t·E_f⁻²·B²·E_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "time": "-1", "efield": "2", "bfield": "-2", "molar_energy": "-1", "cat_activity": "-1"}
5
bfield,efield,grav_const,mass,time
m·t·E_f·B·G
constants,em,mechanics
m·t⁻¹·E_f⁻³·B³·G
m = k₀ · t·E_f³·B⁻³·G⁻¹
null
1
3
3
9
8
1
false
{"mass": "1", "time": "-1", "efield": "-3", "bfield": "3", "grav_const": "1"}
5
bfield,efield,mass,planck,time
m·t·E_f·B·h
constants,em,mechanics
m·t·E_f²·B⁻²·h⁻¹
m = k₀ · t⁻¹·E_f⁻²·B²·h
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "time": "1", "efield": "2", "bfield": "-2", "planck": "-1"}