Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
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10
106
symbols
stringlengths
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62 values
pi
stringlengths
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46
equation
stringlengths
10
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stringclasses
19 values
n_const
int64
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4
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int64
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int64
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34
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int64
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134
complexity
float64
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113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
7
boltzmann,concentration,gas_constant,inductance,mass,velocity,voltage
m·v·U·L_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v¹²·U⁻⁶·L_e³·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻⁶·U³·L_e⁻³ᐟ²·R⁻¹·k_B
null
1
4
12
30
28.4
-19.9
false
{"mass": "3", "velocity": "12", "voltage": "-6", "inductance": "3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
cat_activity,concentration,inductance,mass,velocity,voltage
m·v·U·L_e·c_n·z
chemistry,em,mechanics
m·v⁵·U⁻²·L_e·c_n·z⁻¹
m = k₀ · v⁻⁵·U²·L_e⁻¹·c_n⁻¹·z
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "velocity": "5", "voltage": "-2", "inductance": "1", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,inductance,mass,velocity,voltage
m·v·U·L_e·c_n·N_A
chemistry,constants,em,mechanics
m³·v¹²·U⁻⁶·L_e³·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻⁶·U³·L_e⁻³ᐟ²·N_A⁻¹
null
1
4
12
28
26.7
-18.2
false
{"mass": "3", "velocity": "12", "voltage": "-6", "inductance": "3", "concentration": "2", "avogadro": "2"}
6
cat_activity,inductance,mass,molar_energy,velocity,voltage
m·v·U·L_e·E_m·z
chemistry,em,mechanics
m·v²·U²·L_e⁻¹·E_m⁻²·z⁻²
m = k₀ · v⁻²·U⁻²·L_e·E_m²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "voltage": "2", "inductance": "-1", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,cat_activity,gas_constant,inductance,mass,velocity,voltage
m·v·U·L_e·R·z·k_B
chemistry,constants,em,mechanics
m·v²·U⁻²·L_e·R²·z²·k_B⁻²
m = k₀ · v⁻²·U²·L_e⁻¹·R⁻²·z⁻²·k_B²
null
1
4
2
12
10.8
-2.3
false
{"mass": "1", "velocity": "2", "voltage": "-2", "inductance": "1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,cat_activity,inductance,mass,velocity,voltage
m·v·U·L_e·z·N_A
chemistry,constants,em,mechanics
m·v²·U⁻²·L_e·z²·N_A²
m = k₀ · v⁻²·U²·L_e⁻¹·z⁻²·N_A⁻²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "velocity": "2", "voltage": "-2", "inductance": "1", "cat_activity": "2", "avogadro": "2"}
6
illuminance,inductance,lum_intensity,mass,velocity,voltage
m·v·U·L_e·I_v·E_v
em,mechanics,photometry
m·v⁴·U⁻²·L_e·I_v⁻¹·E_v
m = k₀ · v⁻⁴·U²·L_e⁻¹·I_v·E_v⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "velocity": "4", "voltage": "-2", "inductance": "1", "lum_intensity": "-1", "illuminance": "1"}
6
inductance,lum_intensity,luminance,mass,velocity,voltage
m·v·U·L_e·I_v·L_v
em,mechanics,photometry
m·v⁴·U⁻²·L_e·I_v⁻¹·L_v
m = k₀ · v⁻⁴·U²·L_e⁻¹·I_v·L_v⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "velocity": "4", "voltage": "-2", "inductance": "1", "lum_intensity": "-1", "luminance": "1"}
5
grav_const,inductance,mass,velocity,voltage
m·v·U·L_e·G
constants,em,mechanics
m·v⁻⁸·U²·L_e⁻¹·G²
m = k₀ · v⁸·U⁻²·L_e·G⁻²
null
1
3
8
14
14
-5
false
{"mass": "1", "velocity": "-8", "voltage": "2", "inductance": "-1", "grav_const": "2"}
5
inductance,mass,planck,velocity,voltage
m·v·U·L_e·h
constants,em,mechanics
m³·v⁶·U⁻²·L_e·h⁻²
L_e = k₀ · m⁻³·v⁻⁶·U²·h²
null
1
3
6
14
13
-4
false
{"mass": "3", "velocity": "6", "voltage": "-2", "inductance": "1", "planck": "-2"}
5
efield,mass,permittivity,velocity,voltage
m·v·U·E_f·ε
em,mechanics
m·v²·U⁻³·E_f·ε⁻¹
m = k₀ · v⁻²·U³·E_f⁻¹·ε
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "2", "voltage": "-3", "efield": "1", "permittivity": "-1"}
5
efield,mass,permeability,velocity,voltage
m·v·U·E_f·μ₀
em,mechanics
m·v⁴·U⁻³·E_f·μ₀
m = k₀ · v⁻⁴·U³·E_f⁻¹·μ₀⁻¹
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "voltage": "-3", "efield": "1", "permeability": "1"}
5
conductivity,efield,mass,velocity,voltage
m·v·U·E_f·σ
em,mechanics
m·v³·U⁻⁴·E_f²·σ⁻¹
m = k₀ · v⁻³·U⁴·E_f⁻²·σ
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "3", "voltage": "-4", "efield": "2", "conductivity": "-1"}
5
efield,mass,resistivity,velocity,voltage
m·v·U·E_f·ρ_e
em,mechanics
m·v³·U⁻⁴·E_f²·ρ_e
m = k₀ · v⁻³·U⁴·E_f⁻²·ρ_e⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "3", "voltage": "-4", "efield": "2", "resistivity": "1"}
6
cat_activity,efield,mass,molar_mass,velocity,voltage
m·v·U·E_f·M_m·z
chemistry,em,mechanics
m·v·U⁻¹·E_f·M_m⁻¹·z⁻¹
m = k₀ · v⁻¹·U·E_f⁻¹·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "voltage": "-1", "efield": "1", "molar_mass": "-1", "cat_activity": "-1"}
6
concentration,efield,mass,molar_energy,velocity,voltage
m·v·U·E_f·c_n·E_m
chemistry,em,mechanics
m·v²·U⁻³·E_f³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻²·U³·E_f⁻³·c_n·E_m
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "2", "voltage": "-3", "efield": "3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,efield,mass,molar_energy,velocity,voltage
m·v·U·E_f·E_m·z
chemistry,em,mechanics
m·v³·U⁻¹·E_f·E_m⁻¹·z⁻¹
m = k₀ · v⁻³·U·E_f⁻¹·E_m·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "voltage": "-1", "efield": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
efield,grav_const,mass,velocity,voltage
m·v·U·E_f·G
constants,em,mechanics
m·v⁻²·U⁻¹·E_f·G
m = k₀ · v²·U·E_f⁻¹·G⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-2", "voltage": "-1", "efield": "1", "grav_const": "1"}
5
efield,mass,planck,velocity,voltage
m·v·U·E_f·h
constants,em,mechanics
m·v·U·E_f⁻¹·h⁻¹
m = k₀ · v⁻¹·U⁻¹·E_f·h
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "voltage": "1", "efield": "-1", "planck": "-1"}
5
bfield,mass,permittivity,velocity,voltage
m·v·U·B·ε
em,mechanics
m·v³·U⁻³·B·ε⁻¹
m = k₀ · v⁻³·U³·B⁻¹·ε
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "voltage": "-3", "bfield": "1", "permittivity": "-1"}
5
bfield,mass,permeability,velocity,voltage
m·v·U·B·μ₀
em,mechanics
m·v⁵·U⁻³·B·μ₀
m = k₀ · v⁻⁵·U³·B⁻¹·μ₀⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "voltage": "-3", "bfield": "1", "permeability": "1"}
5
bfield,conductivity,mass,velocity,voltage
m·v·U·B·σ
em,mechanics
m·v⁵·U⁻⁴·B²·σ⁻¹
m = k₀ · v⁻⁵·U⁴·B⁻²·σ
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "voltage": "-4", "bfield": "2", "conductivity": "-1"}
5
bfield,mass,resistivity,velocity,voltage
m·v·U·B·ρ_e
em,mechanics
m·v⁵·U⁻⁴·B²·ρ_e
m = k₀ · v⁻⁵·U⁴·B⁻²·ρ_e⁻¹
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "5", "voltage": "-4", "bfield": "2", "resistivity": "1"}
6
bfield,concentration,mass,molar_mass,velocity,voltage
m·v·U·B·M_m·c_n
chemistry,em,mechanics
m·v³·U⁻³·B³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁻³·U³·B⁻³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "3", "voltage": "-3", "bfield": "3", "molar_mass": "-1", "concentration": "-1"}
6
bfield,cat_activity,mass,molar_mass,velocity,voltage
m·v·U·B·M_m·z
chemistry,em,mechanics
m·v²·U⁻¹·B·M_m⁻¹·z⁻¹
m = k₀ · v⁻²·U·B⁻¹·M_m·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "voltage": "-1", "bfield": "1", "molar_mass": "-1", "cat_activity": "-1"}
6
bfield,concentration,mass,molar_energy,velocity,voltage
m·v·U·B·c_n·E_m
chemistry,em,mechanics
m·v⁵·U⁻³·B³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻⁵·U³·B⁻³·c_n·E_m
null
0
3
5
14
12.8
-3.8
false
{"mass": "1", "velocity": "5", "voltage": "-3", "bfield": "3", "concentration": "-1", "molar_energy": "-1"}
6
bfield,cat_activity,mass,molar_energy,velocity,voltage
m·v·U·B·E_m·z
chemistry,em,mechanics
m·v⁴·U⁻¹·B·E_m⁻¹·z⁻¹
m = k₀ · v⁻⁴·U·B⁻¹·E_m·z
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "velocity": "4", "voltage": "-1", "bfield": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
bfield,grav_const,mass,velocity,voltage
m·v·U·B·G
constants,em,mechanics
m·v⁻¹·U⁻¹·B·G
m = k₀ · v·U·B⁻¹·G⁻¹
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "-1", "voltage": "-1", "bfield": "1", "grav_const": "1"}
5
mag_flux,mass,permittivity,velocity,voltage
m·v·U·Φ·ε
em,mechanics
m·v·U⁻¹·Φ⁻¹·ε⁻¹
m = k₀ · v⁻¹·U·Φ·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "voltage": "-1", "mag_flux": "-1", "permittivity": "-1"}
5
mag_flux,mass,permeability,velocity,voltage
m·v·U·Φ·μ₀
em,mechanics
m·v³·U⁻¹·Φ⁻¹·μ₀
m = k₀ · v⁻³·U·Φ·μ₀⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "voltage": "-1", "mag_flux": "-1", "permeability": "1"}
6
concentration,mag_flux,mass,molar_mass,velocity,voltage
m·v·U·Φ·M_m·c_n
chemistry,em,mechanics
m·v⁻³·U³·Φ⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v³·U⁻³·Φ³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-3", "voltage": "3", "mag_flux": "-3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,mag_flux,mass,molar_energy,velocity,voltage
m·v·U·Φ·c_n·E_m
chemistry,em,mechanics
m·v⁻¹·U³·Φ⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v·U⁻³·Φ³·c_n·E_m
null
0
3
3
10
9
0
false
{"mass": "1", "velocity": "-1", "voltage": "3", "mag_flux": "-3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,mag_flux,mass,molar_energy,velocity,voltage
m·v·U·Φ·E_m·z
chemistry,em,mechanics
m·v²·U·Φ⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻²·U⁻¹·Φ·E_m·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "voltage": "1", "mag_flux": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,mag_flux,mass,velocity,voltage
m·v·U·Φ·G
constants,em,mechanics
m·v⁻³·U·Φ⁻¹·G
m = k₀ · v³·U⁻¹·Φ·G⁻¹
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "-3", "voltage": "1", "mag_flux": "-1", "grav_const": "1"}
5
mag_flux,mass,planck,velocity,voltage
m·v·U·Φ·h
constants,em,mechanics
m·v²·U⁻¹·Φ·h⁻¹
m = k₀ · v⁻²·U·Φ⁻¹·h
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "voltage": "-1", "mag_flux": "1", "planck": "-1"}
5
conductivity,mass,permittivity,velocity,voltage
m·v·U·ε·σ
em,mechanics
m·v·U⁻²·ε⁻²·σ
m = k₀ · v⁻¹·U²·ε²·σ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "voltage": "-2", "permittivity": "-2", "conductivity": "1"}
5
mass,permittivity,resistivity,velocity,voltage
m·v·U·ε·ρ_e
em,mechanics
m·v·U⁻²·ε⁻²·ρ_e⁻¹
m = k₀ · v⁻¹·U²·ε²·ρ_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "voltage": "-2", "permittivity": "-2", "resistivity": "-1"}
6
amount,concentration,mass,permittivity,velocity,voltage
m·v·U·ε·n·c_n
chemistry,em,mechanics
m³·v⁶·U⁻⁶·ε⁻³·n⁻¹·c_n
n = k₀ · m³·v⁶·U⁻⁶·ε⁻³·c_n
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "velocity": "6", "voltage": "-6", "permittivity": "-3", "amount": "-1", "concentration": "1"}
6
amount,cat_activity,mass,permittivity,velocity,voltage
m·v·U·ε·n·z
chemistry,em,mechanics
m·v·U⁻²·ε⁻¹·n⁻¹·z
m = k₀ · v⁻¹·U²·ε·n·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "voltage": "-2", "permittivity": "-1", "amount": "-1", "cat_activity": "1"}
6
concentration,mass,molar_mass,permittivity,velocity,voltage
m·v·U·ε·M_m·c_n
chemistry,em,mechanics
m²·v⁶·U⁻⁶·ε⁻³·M_m·c_n
M_m = k₀ · m⁻²·v⁻⁶·U⁶·ε³·c_n⁻¹
null
0
3
6
19
16.8
-7.8
false
{"mass": "2", "velocity": "6", "voltage": "-6", "permittivity": "-3", "molar_mass": "1", "concentration": "1"}
6
concentration,mass,molar_energy,permittivity,velocity,voltage
m·v·U·ε·c_n·E_m
chemistry,em,mechanics
m²·v⁴·U⁻⁶·ε⁻³·c_n·E_m
c_n = k₀ · m⁻²·v⁻⁴·U⁶·ε³·E_m⁻¹
null
0
3
6
17
15.4
-6.4
false
{"mass": "2", "velocity": "4", "voltage": "-6", "permittivity": "-3", "concentration": "1", "molar_energy": "1"}
7
boltzmann,concentration,gas_constant,mass,permittivity,velocity,voltage
m·v·U·ε·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁶·U⁻⁶·ε⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻⁶·U⁶·ε³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "velocity": "6", "voltage": "-6", "permittivity": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,mass,permittivity,velocity,voltage
m·v·U·ε·c_n·z
chemistry,em,mechanics
m²·v⁵·U⁻⁴·ε⁻²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻⁵·U⁴·ε²·z
null
0
3
5
15
13.5
-4.5
false
{"mass": "2", "velocity": "5", "voltage": "-4", "permittivity": "-2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,mass,permittivity,velocity,voltage
m·v·U·ε·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁶·U⁻⁶·ε⁻³·c_n·N_A
c_n = k₀ · m⁻³·v⁻⁶·U⁶·ε³·N_A⁻¹
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "velocity": "6", "voltage": "-6", "permittivity": "-3", "concentration": "1", "avogadro": "1"}
7
boltzmann,cat_activity,gas_constant,mass,permittivity,velocity,voltage
m·v·U·ε·R·z·k_B
chemistry,constants,em,mechanics
m·v·U⁻²·ε⁻¹·R·z·k_B⁻¹
m = k₀ · v⁻¹·U²·ε·R⁻¹·z⁻¹·k_B
null
1
4
2
8
8
0.5
false
{"mass": "1", "velocity": "1", "voltage": "-2", "permittivity": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
6
avogadro,cat_activity,mass,permittivity,velocity,voltage
m·v·U·ε·z·N_A
chemistry,constants,em,mechanics
m·v·U⁻²·ε⁻¹·z·N_A
m = k₀ · v⁻¹·U²·ε·z⁻¹·N_A⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "1", "voltage": "-2", "permittivity": "-1", "cat_activity": "1", "avogadro": "1"}
6
illuminance,lum_intensity,mass,permittivity,velocity,voltage
m·v·U·ε·I_v·E_v
em,mechanics,photometry
m²·v⁴·U⁻⁴·ε⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁴·U⁻⁴·ε⁻²·E_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "velocity": "4", "voltage": "-4", "permittivity": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
lum_intensity,luminance,mass,permittivity,velocity,voltage
m·v·U·ε·I_v·L_v
em,mechanics,photometry
m²·v⁴·U⁻⁴·ε⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁴·U⁻⁴·ε⁻²·L_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "velocity": "4", "voltage": "-4", "permittivity": "-2", "lum_intensity": "-1", "luminance": "1"}
5
mass,permittivity,planck,velocity,voltage
m·v·U·ε·h
constants,em,mechanics
m²·v³·U⁻²·ε⁻¹·h⁻¹
ε = k₀ · m²·v³·U⁻²·h⁻¹
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "voltage": "-2", "permittivity": "-1", "planck": "-1"}
5
conductivity,mass,permeability,velocity,voltage
m·v·U·μ₀·σ
em,mechanics
m·v⁵·U⁻²·μ₀²·σ
m = k₀ · v⁻⁵·U²·μ₀⁻²·σ⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "voltage": "-2", "permeability": "2", "conductivity": "1"}
5
mass,permeability,resistivity,velocity,voltage
m·v·U·μ₀·ρ_e
em,mechanics
m·v⁵·U⁻²·μ₀²·ρ_e⁻¹
m = k₀ · v⁻⁵·U²·μ₀⁻²·ρ_e
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "voltage": "-2", "permeability": "2", "resistivity": "-1"}
6
amount,concentration,mass,permeability,velocity,voltage
m·v·U·μ₀·n·c_n
chemistry,em,mechanics
m³·v¹²·U⁻⁶·μ₀³·n⁻¹·c_n
n = k₀ · m³·v¹²·U⁻⁶·μ₀³·c_n
null
0
3
12
26
24.7
-15.7
false
{"mass": "3", "velocity": "12", "voltage": "-6", "permeability": "3", "amount": "-1", "concentration": "1"}
6
amount,cat_activity,mass,permeability,velocity,voltage
m·v·U·μ₀·n·z
chemistry,em,mechanics
m·v³·U⁻²·μ₀·n⁻¹·z
m = k₀ · v⁻³·U²·μ₀⁻¹·n·z⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "voltage": "-2", "permeability": "1", "amount": "-1", "cat_activity": "1"}
6
concentration,mass,molar_mass,permeability,velocity,voltage
m·v·U·μ₀·M_m·c_n
chemistry,em,mechanics
m²·v¹²·U⁻⁶·μ₀³·M_m·c_n
M_m = k₀ · m⁻²·v⁻¹²·U⁶·μ₀⁻³·c_n⁻¹
null
0
3
12
25
24
-15
false
{"mass": "2", "velocity": "12", "voltage": "-6", "permeability": "3", "molar_mass": "1", "concentration": "1"}
6
concentration,mass,molar_energy,permeability,velocity,voltage
m·v·U·μ₀·c_n·E_m
chemistry,em,mechanics
m²·v¹⁰·U⁻⁶·μ₀³·c_n·E_m
c_n = k₀ · m⁻²·v⁻¹⁰·U⁶·μ₀⁻³·E_m⁻¹
null
0
3
10
23
21.6
-12.6
false
{"mass": "2", "velocity": "10", "voltage": "-6", "permeability": "3", "concentration": "1", "molar_energy": "1"}
7
boltzmann,concentration,gas_constant,mass,permeability,velocity,voltage
m·v·U·μ₀·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v¹²·U⁻⁶·μ₀³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻¹²·U⁶·μ₀⁻³·R⁻¹·k_B
null
1
4
12
27
26.3
-17.8
false
{"mass": "3", "velocity": "12", "voltage": "-6", "permeability": "3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,mass,permeability,velocity,voltage
m·v·U·μ₀·c_n·z
chemistry,em,mechanics
m²·v⁹·U⁻⁴·μ₀²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻⁹·U⁴·μ₀⁻²·z
null
0
3
9
19
18.3
-9.3
false
{"mass": "2", "velocity": "9", "voltage": "-4", "permeability": "2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,mass,permeability,velocity,voltage
m·v·U·μ₀·c_n·N_A
chemistry,constants,em,mechanics
m³·v¹²·U⁻⁶·μ₀³·c_n·N_A
c_n = k₀ · m⁻³·v⁻¹²·U⁶·μ₀⁻³·N_A⁻¹
null
1
4
12
26
25.3
-16.8
false
{"mass": "3", "velocity": "12", "voltage": "-6", "permeability": "3", "concentration": "1", "avogadro": "1"}
7
boltzmann,cat_activity,gas_constant,mass,permeability,velocity,voltage
m·v·U·μ₀·R·z·k_B
chemistry,constants,em,mechanics
m·v³·U⁻²·μ₀·R·z·k_B⁻¹
m = k₀ · v⁻³·U²·μ₀⁻¹·R⁻¹·z⁻¹·k_B
null
1
4
3
10
9.9
-1.4
false
{"mass": "1", "velocity": "3", "voltage": "-2", "permeability": "1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
6
avogadro,cat_activity,mass,permeability,velocity,voltage
m·v·U·μ₀·z·N_A
chemistry,constants,em,mechanics
m·v³·U⁻²·μ₀·z·N_A
m = k₀ · v⁻³·U²·μ₀⁻¹·z⁻¹·N_A⁻¹
null
1
4
3
9
8.9
-0.4
false
{"mass": "1", "velocity": "3", "voltage": "-2", "permeability": "1", "cat_activity": "1", "avogadro": "1"}
6
illuminance,lum_intensity,mass,permeability,velocity,voltage
m·v·U·μ₀·I_v·E_v
em,mechanics,photometry
m²·v⁸·U⁻⁴·μ₀²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁸·U⁻⁴·μ₀²·E_v
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "velocity": "8", "voltage": "-4", "permeability": "2", "lum_intensity": "-1", "illuminance": "1"}
6
lum_intensity,luminance,mass,permeability,velocity,voltage
m·v·U·μ₀·I_v·L_v
em,mechanics,photometry
m²·v⁸·U⁻⁴·μ₀²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁸·U⁻⁴·μ₀²·L_v
null
0
3
8
18
17.1
-8.1
false
{"mass": "2", "velocity": "8", "voltage": "-4", "permeability": "2", "lum_intensity": "-1", "luminance": "1"}
5
mass,permeability,planck,velocity,voltage
m·v·U·μ₀·h
constants,em,mechanics
m²·v⁵·U⁻²·μ₀·h⁻¹
μ₀ = k₀ · m⁻²·v⁻⁵·U²·h
null
1
3
5
11
10.4
-1.4
false
{"mass": "2", "velocity": "5", "voltage": "-2", "permeability": "1", "planck": "-1"}
6
amount,concentration,conductivity,mass,velocity,voltage
m·v·U·σ·n·c_n
chemistry,em,mechanics
m³·v⁹·U⁻⁶·σ⁻³·n⁻²·c_n²
n = k₀ · m³ᐟ²·v⁹ᐟ²·U⁻³·σ⁻³ᐟ²·c_n
null
0
3
9
25
22.5
-13.5
false
{"mass": "3", "velocity": "9", "voltage": "-6", "conductivity": "-3", "amount": "-2", "concentration": "2"}
6
amount,cat_activity,conductivity,mass,velocity,voltage
m·v·U·σ·n·z
chemistry,em,mechanics
m·v·U⁻²·σ⁻¹·n⁻²·z²
m = k₀ · v⁻¹·U²·σ·n²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "1", "voltage": "-2", "conductivity": "-1", "amount": "-2", "cat_activity": "2"}
6
concentration,conductivity,mass,molar_mass,velocity,voltage
m·v·U·σ·M_m·c_n
chemistry,em,mechanics
m·v⁹·U⁻⁶·σ⁻³·M_m²·c_n²
m = k₀ · v⁻⁹·U⁶·σ³·M_m⁻²·c_n⁻²
null
0
3
9
23
21.1
-12.1
false
{"mass": "1", "velocity": "9", "voltage": "-6", "conductivity": "-3", "molar_mass": "2", "concentration": "2"}
6
cat_activity,conductivity,mass,molar_mass,velocity,voltage
m·v·U·σ·M_m·z
chemistry,em,mechanics
m·v⁻¹·U²·σ·M_m⁻²·z⁻²
m = k₀ · v·U⁻²·σ⁻¹·M_m²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "-1", "voltage": "2", "conductivity": "1", "molar_mass": "-2", "cat_activity": "-2"}
6
concentration,conductivity,mass,molar_energy,velocity,voltage
m·v·U·σ·c_n·E_m
chemistry,em,mechanics
m·v⁵·U⁻⁶·σ⁻³·c_n²·E_m²
m = k₀ · v⁻⁵·U⁶·σ³·c_n⁻²·E_m⁻²
null
0
3
6
19
16.8
-7.8
false
{"mass": "1", "velocity": "5", "voltage": "-6", "conductivity": "-3", "concentration": "2", "molar_energy": "2"}
7
boltzmann,concentration,conductivity,gas_constant,mass,velocity,voltage
m·v·U·σ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁹·U⁻⁶·σ⁻³·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·U³·σ³ᐟ²·R⁻¹·k_B
null
1
4
9
27
24.8
-16.3
false
{"mass": "3", "velocity": "9", "voltage": "-6", "conductivity": "-3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
cat_activity,concentration,conductivity,mass,velocity,voltage
m·v·U·σ·c_n·z
chemistry,em,mechanics
m·v⁴·U⁻²·σ⁻¹·c_n·z⁻¹
m = k₀ · v⁻⁴·U²·σ·c_n⁻¹·z
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "velocity": "4", "voltage": "-2", "conductivity": "-1", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,conductivity,mass,velocity,voltage
m·v·U·σ·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁹·U⁻⁶·σ⁻³·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·U³·σ³ᐟ²·N_A⁻¹
null
1
4
9
25
23.1
-14.6
false
{"mass": "3", "velocity": "9", "voltage": "-6", "conductivity": "-3", "concentration": "2", "avogadro": "2"}
6
cat_activity,conductivity,mass,molar_energy,velocity,voltage
m·v·U·σ·E_m·z
chemistry,em,mechanics
m·v³·U²·σ·E_m⁻²·z⁻²
m = k₀ · v⁻³·U⁻²·σ⁻¹·E_m²·z²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "3", "voltage": "2", "conductivity": "1", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,cat_activity,conductivity,gas_constant,mass,velocity,voltage
m·v·U·σ·R·z·k_B
chemistry,constants,em,mechanics
m·v·U⁻²·σ⁻¹·R²·z²·k_B⁻²
m = k₀ · v⁻¹·U²·σ·R⁻²·z⁻²·k_B²
null
1
4
2
11
10.1
-1.6
false
{"mass": "1", "velocity": "1", "voltage": "-2", "conductivity": "-1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,cat_activity,conductivity,mass,velocity,voltage
m·v·U·σ·z·N_A
chemistry,constants,em,mechanics
m·v·U⁻²·σ⁻¹·z²·N_A²
m = k₀ · v⁻¹·U²·σ·z⁻²·N_A⁻²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "velocity": "1", "voltage": "-2", "conductivity": "-1", "cat_activity": "2", "avogadro": "2"}
6
conductivity,illuminance,lum_intensity,mass,velocity,voltage
m·v·U·σ·I_v·E_v
em,mechanics,photometry
m·v³·U⁻²·σ⁻¹·I_v⁻¹·E_v
m = k₀ · v⁻³·U²·σ·I_v·E_v⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "voltage": "-2", "conductivity": "-1", "lum_intensity": "-1", "illuminance": "1"}
6
conductivity,lum_intensity,luminance,mass,velocity,voltage
m·v·U·σ·I_v·L_v
em,mechanics,photometry
m·v³·U⁻²·σ⁻¹·I_v⁻¹·L_v
m = k₀ · v⁻³·U²·σ·I_v·L_v⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "voltage": "-2", "conductivity": "-1", "lum_intensity": "-1", "luminance": "1"}
5
conductivity,grav_const,mass,velocity,voltage
m·v·U·σ·G
constants,em,mechanics
m·v⁻⁷·U²·σ·G²
m = k₀ · v⁷·U⁻²·σ⁻¹·G⁻²
null
1
3
7
13
12.8
-3.8
false
{"mass": "1", "velocity": "-7", "voltage": "2", "conductivity": "1", "grav_const": "2"}
5
conductivity,mass,planck,velocity,voltage
m·v·U·σ·h
constants,em,mechanics
m³·v⁵·U⁻²·σ⁻¹·h⁻²
σ = k₀ · m³·v⁵·U⁻²·h⁻²
null
1
3
5
13
11.8
-2.8
false
{"mass": "3", "velocity": "5", "voltage": "-2", "conductivity": "-1", "planck": "-2"}
6
amount,concentration,mass,resistivity,velocity,voltage
m·v·U·ρ_e·n·c_n
chemistry,em,mechanics
m³·v⁹·U⁻⁶·ρ_e³·n⁻²·c_n²
n = k₀ · m³ᐟ²·v⁹ᐟ²·U⁻³·ρ_e³ᐟ²·c_n
null
0
3
9
25
22.5
-13.5
false
{"mass": "3", "velocity": "9", "voltage": "-6", "resistivity": "3", "amount": "-2", "concentration": "2"}
6
amount,cat_activity,mass,resistivity,velocity,voltage
m·v·U·ρ_e·n·z
chemistry,em,mechanics
m·v·U⁻²·ρ_e·n⁻²·z²
m = k₀ · v⁻¹·U²·ρ_e⁻¹·n²·z⁻²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "1", "voltage": "-2", "resistivity": "1", "amount": "-2", "cat_activity": "2"}
6
concentration,mass,molar_mass,resistivity,velocity,voltage
m·v·U·ρ_e·M_m·c_n
chemistry,em,mechanics
m·v⁹·U⁻⁶·ρ_e³·M_m²·c_n²
m = k₀ · v⁻⁹·U⁶·ρ_e⁻³·M_m⁻²·c_n⁻²
null
0
3
9
23
21.1
-12.1
false
{"mass": "1", "velocity": "9", "voltage": "-6", "resistivity": "3", "molar_mass": "2", "concentration": "2"}
6
cat_activity,mass,molar_mass,resistivity,velocity,voltage
m·v·U·ρ_e·M_m·z
chemistry,em,mechanics
m·v⁻¹·U²·ρ_e⁻¹·M_m⁻²·z⁻²
m = k₀ · v·U⁻²·ρ_e·M_m²·z²
null
0
3
2
9
7.8
1.2
false
{"mass": "1", "velocity": "-1", "voltage": "2", "resistivity": "-1", "molar_mass": "-2", "cat_activity": "-2"}
6
concentration,mass,molar_energy,resistivity,velocity,voltage
m·v·U·ρ_e·c_n·E_m
chemistry,em,mechanics
m·v⁵·U⁻⁶·ρ_e³·c_n²·E_m²
m = k₀ · v⁻⁵·U⁶·ρ_e⁻³·c_n⁻²·E_m⁻²
null
0
3
6
19
16.8
-7.8
false
{"mass": "1", "velocity": "5", "voltage": "-6", "resistivity": "3", "concentration": "2", "molar_energy": "2"}
7
boltzmann,concentration,gas_constant,mass,resistivity,velocity,voltage
m·v·U·ρ_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁹·U⁻⁶·ρ_e³·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·U³·ρ_e⁻³ᐟ²·R⁻¹·k_B
null
1
4
9
27
24.8
-16.3
false
{"mass": "3", "velocity": "9", "voltage": "-6", "resistivity": "3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
cat_activity,concentration,mass,resistivity,velocity,voltage
m·v·U·ρ_e·c_n·z
chemistry,em,mechanics
m·v⁴·U⁻²·ρ_e·c_n·z⁻¹
m = k₀ · v⁻⁴·U²·ρ_e⁻¹·c_n⁻¹·z
null
0
3
4
10
9.5
-0.5
false
{"mass": "1", "velocity": "4", "voltage": "-2", "resistivity": "1", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,mass,resistivity,velocity,voltage
m·v·U·ρ_e·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁹·U⁻⁶·ρ_e³·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻⁹ᐟ²·U³·ρ_e⁻³ᐟ²·N_A⁻¹
null
1
4
9
25
23.1
-14.6
false
{"mass": "3", "velocity": "9", "voltage": "-6", "resistivity": "3", "concentration": "2", "avogadro": "2"}
6
cat_activity,mass,molar_energy,resistivity,velocity,voltage
m·v·U·ρ_e·E_m·z
chemistry,em,mechanics
m·v³·U²·ρ_e⁻¹·E_m⁻²·z⁻²
m = k₀ · v⁻³·U⁻²·ρ_e·E_m²·z²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "3", "voltage": "2", "resistivity": "-1", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,cat_activity,gas_constant,mass,resistivity,velocity,voltage
m·v·U·ρ_e·R·z·k_B
chemistry,constants,em,mechanics
m·v·U⁻²·ρ_e·R²·z²·k_B⁻²
m = k₀ · v⁻¹·U²·ρ_e⁻¹·R⁻²·z⁻²·k_B²
null
1
4
2
11
10.1
-1.6
false
{"mass": "1", "velocity": "1", "voltage": "-2", "resistivity": "1", "gas_constant": "2", "cat_activity": "2", "boltzmann": "-2"}
6
avogadro,cat_activity,mass,resistivity,velocity,voltage
m·v·U·ρ_e·z·N_A
chemistry,constants,em,mechanics
m·v·U⁻²·ρ_e·z²·N_A²
m = k₀ · v⁻¹·U²·ρ_e⁻¹·z⁻²·N_A⁻²
null
1
4
2
9
8.4
0.1
false
{"mass": "1", "velocity": "1", "voltage": "-2", "resistivity": "1", "cat_activity": "2", "avogadro": "2"}
6
illuminance,lum_intensity,mass,resistivity,velocity,voltage
m·v·U·ρ_e·I_v·E_v
em,mechanics,photometry
m·v³·U⁻²·ρ_e·I_v⁻¹·E_v
m = k₀ · v⁻³·U²·ρ_e⁻¹·I_v·E_v⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "voltage": "-2", "resistivity": "1", "lum_intensity": "-1", "illuminance": "1"}
6
lum_intensity,luminance,mass,resistivity,velocity,voltage
m·v·U·ρ_e·I_v·L_v
em,mechanics,photometry
m·v³·U⁻²·ρ_e·I_v⁻¹·L_v
m = k₀ · v⁻³·U²·ρ_e⁻¹·I_v·L_v⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "voltage": "-2", "resistivity": "1", "lum_intensity": "-1", "luminance": "1"}
5
grav_const,mass,resistivity,velocity,voltage
m·v·U·ρ_e·G
constants,em,mechanics
m·v⁻⁷·U²·ρ_e⁻¹·G²
m = k₀ · v⁷·U⁻²·ρ_e·G⁻²
null
1
3
7
13
12.8
-3.8
false
{"mass": "1", "velocity": "-7", "voltage": "2", "resistivity": "-1", "grav_const": "2"}
5
mass,planck,resistivity,velocity,voltage
m·v·U·ρ_e·h
constants,em,mechanics
m³·v⁵·U⁻²·ρ_e·h⁻²
ρ_e = k₀ · m⁻³·v⁻⁵·U²·h²
null
1
3
5
13
11.8
-2.8
false
{"mass": "3", "velocity": "5", "voltage": "-2", "resistivity": "1", "planck": "-2"}
4
elem_charge,mass,velocity,voltage
m·v·U·e
constants,em,mechanics
m·v²·U⁻¹·e⁻¹
m = k₀ · v⁻²·U·e
null
1
3
2
5
4.4
4.6
false
{"mass": "1", "velocity": "2", "voltage": "-1", "elem_charge": "-1"}
5
bfield,capacitance,mass,resistance,velocity
m·v·R·C_e·B
em,mechanics
m·v⁻²·R⁻²·C_e⁻³·B⁻²
m = k₀ · v²·R²·C_e³·B²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "-2", "resistance": "-2", "capacitance": "-3", "bfield": "-2"}
5
capacitance,mag_flux,mass,resistance,velocity
m·v·R·C_e·Φ
em,mechanics
m·v²·R²·C_e·Φ⁻²
m = k₀ · v⁻²·R⁻²·C_e⁻¹·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "resistance": "2", "capacitance": "1", "mag_flux": "-2"}
6
capacitance,concentration,mass,molar_mass,resistance,velocity
m·v·R·C_e·M_m·c_n
chemistry,em,mechanics
m·v⁻³·R⁻³·C_e⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v³·R³·C_e³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-3", "resistance": "-3", "capacitance": "-3", "molar_mass": "-1", "concentration": "-1"}
6
capacitance,concentration,mass,molar_energy,resistance,velocity
m·v·R·C_e·c_n·E_m
chemistry,em,mechanics
m·v⁻¹·R⁻³·C_e⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v·R³·C_e³·c_n·E_m
null
0
3
3
10
9
0
false
{"mass": "1", "velocity": "-1", "resistance": "-3", "capacitance": "-3", "concentration": "-1", "molar_energy": "-1"}
6
capacitance,cat_activity,mass,molar_energy,resistance,velocity
m·v·R·C_e·E_m·z
chemistry,em,mechanics
m·v²·R⁻¹·C_e⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻²·R·C_e·E_m·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "resistance": "-1", "capacitance": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
capacitance,grav_const,mass,resistance,velocity
m·v·R·C_e·G
constants,em,mechanics
m·v⁻³·R⁻¹·C_e⁻¹·G
m = k₀ · v³·R·C_e·G⁻¹
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "-3", "resistance": "-1", "capacitance": "-1", "grav_const": "1"}