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
5
capacitance,mass,planck,resistance,velocity
m·v·R·C_e·h
constants,em,mechanics
m·v²·R·C_e·h⁻¹
m = k₀ · v⁻²·R⁻¹·C_e⁻¹·h
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "resistance": "1", "capacitance": "1", "planck": "-1"}
5
bfield,inductance,mass,resistance,velocity
m·v·R·L_e·B
em,mechanics
m·v⁻²·R⁴·L_e⁻³·B⁻²
m = k₀ · v²·R⁻⁴·L_e³·B²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-2", "resistance": "4", "inductance": "-3", "bfield": "-2"}
6
concentration,inductance,mass,molar_mass,resistance,velocity
m·v·R·L_e·M_m·c_n
chemistry,em,mechanics
m·v⁻³·R³·L_e⁻³·M_m⁻¹·c_n⁻¹
m = k₀ · v³·R⁻³·L_e³·M_m·c_n
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-3", "resistance": "3", "inductance": "-3", "molar_mass": "-1", "concentration": "-1"}
6
concentration,inductance,mass,molar_energy,resistance,velocity
m·v·R·L_e·c_n·E_m
chemistry,em,mechanics
m·v⁻¹·R³·L_e⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v·R⁻³·L_e³·c_n·E_m
null
0
3
3
10
9
0
false
{"mass": "1", "velocity": "-1", "resistance": "3", "inductance": "-3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,inductance,mass,molar_energy,resistance,velocity
m·v·R·L_e·E_m·z
chemistry,em,mechanics
m·v²·R·L_e⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻²·R⁻¹·L_e·E_m·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "resistance": "1", "inductance": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,inductance,mass,resistance,velocity
m·v·R·L_e·G
constants,em,mechanics
m·v⁻³·R·L_e⁻¹·G
m = k₀ · v³·R⁻¹·L_e·G⁻¹
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "-3", "resistance": "1", "inductance": "-1", "grav_const": "1"}
5
inductance,mass,planck,resistance,velocity
m·v·R·L_e·h
constants,em,mechanics
m·v²·R⁻¹·L_e·h⁻¹
m = k₀ · v⁻²·R·L_e⁻¹·h
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "resistance": "-1", "inductance": "1", "planck": "-1"}
5
elem_charge,inductance,mass,resistance,velocity
m·v·R·L_e·e
constants,em,mechanics
m·v²·R⁻²·L_e·e⁻²
m = k₀ · v⁻²·R²·L_e⁻¹·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "resistance": "-2", "inductance": "1", "elem_charge": "-2"}
5
efield,mag_flux,mass,resistance,velocity
m·v·R·E_f·Φ
em,mechanics
m²·v³·R²·E_f⁻¹·Φ⁻³
E_f = k₀ · m²·v³·R²·Φ⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "velocity": "3", "resistance": "2", "efield": "-1", "mag_flux": "-3"}
5
conductivity,efield,mass,resistance,velocity
m·v·R·E_f·σ
em,mechanics
m·v³·R⁴·E_f⁻²·σ³
m = k₀ · v⁻³·R⁻⁴·E_f²·σ⁻³
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "velocity": "3", "resistance": "4", "efield": "-2", "conductivity": "3"}
5
efield,mass,resistance,resistivity,velocity
m·v·R·E_f·ρ_e
em,mechanics
m·v³·R⁴·E_f⁻²·ρ_e⁻³
m = k₀ · v⁻³·R⁻⁴·E_f²·ρ_e³
null
0
2
4
13
10.7
-1.2
false
{"mass": "1", "velocity": "3", "resistance": "4", "efield": "-2", "resistivity": "-3"}
6
amount,concentration,efield,mass,resistance,velocity
m·v·R·E_f·n·c_n
chemistry,em,mechanics
m·v³·R·E_f⁻²·n⁻¹·c_n
m = k₀ · v⁻³·R⁻¹·E_f²·n·c_n⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "resistance": "1", "efield": "-2", "amount": "-1", "concentration": "1"}
7
boltzmann,concentration,efield,gas_constant,mass,resistance,velocity
m·v·R·E_f·c_n·R·k_B
chemistry,constants,em,mechanics
m·v³·R·E_f⁻²·c_n·R·k_B⁻¹
m = k₀ · v⁻³·R⁻¹·E_f²·c_n⁻¹·R⁻¹·k_B
null
1
4
3
10
9.9
-1.4
false
{"mass": "1", "velocity": "3", "resistance": "1", "efield": "-2", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,efield,mass,resistance,velocity
m·v·R·E_f·c_n·z
chemistry,em,mechanics
m²·v⁹·R²·E_f⁻⁴·c_n³·z⁻³
m = k₀ · v⁻⁹ᐟ²·R⁻¹·E_f²·c_n⁻³ᐟ²·z³ᐟ²
null
0
3
9
23
21.1
-12.1
false
{"mass": "2", "velocity": "9", "resistance": "2", "efield": "-4", "concentration": "3", "cat_activity": "-3"}
6
avogadro,concentration,efield,mass,resistance,velocity
m·v·R·E_f·c_n·N_A
chemistry,constants,em,mechanics
m·v³·R·E_f⁻²·c_n·N_A
m = k₀ · v⁻³·R⁻¹·E_f²·c_n⁻¹·N_A⁻¹
null
1
4
3
9
8.9
-0.4
false
{"mass": "1", "velocity": "3", "resistance": "1", "efield": "-2", "concentration": "1", "avogadro": "1"}
6
cat_activity,efield,mass,molar_energy,resistance,velocity
m·v·R·E_f·E_m·z
chemistry,em,mechanics
m²·v⁶·R⁻¹·E_f²·E_m⁻³·z⁻³
R = k₀ · m²·v⁶·E_f²·E_m⁻³·z⁻³
null
0
3
6
17
15.4
-6.4
false
{"mass": "2", "velocity": "6", "resistance": "-1", "efield": "2", "molar_energy": "-3", "cat_activity": "-3"}
6
efield,illuminance,lum_intensity,mass,resistance,velocity
m·v·R·E_f·I_v·E_v
em,mechanics,photometry
m²·v⁶·R²·E_f⁻⁴·I_v⁻³·E_v³
m = k₀ · v⁻³·R⁻¹·E_f²·I_v³ᐟ²·E_v⁻³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "velocity": "6", "resistance": "2", "efield": "-4", "lum_intensity": "-3", "illuminance": "3"}
6
efield,lum_intensity,luminance,mass,resistance,velocity
m·v·R·E_f·I_v·L_v
em,mechanics,photometry
m²·v⁶·R²·E_f⁻⁴·I_v⁻³·L_v³
m = k₀ · v⁻³·R⁻¹·E_f²·I_v³ᐟ²·L_v⁻³ᐟ²
null
0
3
6
20
17.5
-8.5
false
{"mass": "2", "velocity": "6", "resistance": "2", "efield": "-4", "lum_intensity": "-3", "luminance": "3"}
5
efield,grav_const,mass,resistance,velocity
m·v·R·E_f·G
constants,em,mechanics
m²·v⁻⁹·R⁻¹·E_f²·G³
R = k₀ · m²·v⁻⁹·E_f²·G³
null
1
3
9
17
16.6
-7.6
false
{"mass": "2", "velocity": "-9", "resistance": "-1", "efield": "2", "grav_const": "3"}
5
efield,mass,planck,resistance,velocity
m·v·R·E_f·h
constants,em,mechanics
m⁴·v⁶·R·E_f⁻²·h⁻³
R = k₀ · m⁻⁴·v⁻⁶·E_f²·h³
null
1
3
6
16
14.4
-5.4
false
{"mass": "4", "velocity": "6", "resistance": "1", "efield": "-2", "planck": "-3"}
5
efield,elem_charge,mass,resistance,velocity
m·v·R·E_f·e
constants,em,mechanics
m²·v³·R⁻¹·E_f⁻¹·e⁻³
R = k₀ · m²·v³·E_f⁻¹·e⁻³
null
1
3
3
10
8.7
0.3
false
{"mass": "2", "velocity": "3", "resistance": "-1", "efield": "-1", "elem_charge": "-3"}
5
bfield,mag_flux,mass,resistance,velocity
m·v·R·B·Φ
em,mechanics
m²·v²·R²·B⁻¹·Φ⁻³
B = k₀ · m²·v²·R²·Φ⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "velocity": "2", "resistance": "2", "bfield": "-1", "mag_flux": "-3"}
5
bfield,conductivity,mass,resistance,velocity
m·v·R·B·σ
em,mechanics
m·v·R⁴·B⁻²·σ³
m = k₀ · v⁻¹·R⁻⁴·B²·σ⁻³
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "1", "resistance": "4", "bfield": "-2", "conductivity": "3"}
5
bfield,mass,resistance,resistivity,velocity
m·v·R·B·ρ_e
em,mechanics
m·v·R⁴·B⁻²·ρ_e⁻³
m = k₀ · v⁻¹·R⁻⁴·B²·ρ_e³
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "1", "resistance": "4", "bfield": "-2", "resistivity": "-3"}
6
amount,bfield,concentration,mass,resistance,velocity
m·v·R·B·n·c_n
chemistry,em,mechanics
m·v·R·B⁻²·n⁻¹·c_n
m = k₀ · v⁻¹·R⁻¹·B²·n·c_n⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "resistance": "1", "bfield": "-2", "amount": "-1", "concentration": "1"}
6
amount,bfield,cat_activity,mass,resistance,velocity
m·v·R·B·n·z
chemistry,em,mechanics
m·v⁻²·R·B⁻²·n⁻³·z³
m = k₀ · v²·R⁻¹·B²·n³·z⁻³
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "-2", "resistance": "1", "bfield": "-2", "amount": "-3", "cat_activity": "3"}
6
bfield,cat_activity,mass,molar_mass,resistance,velocity
m·v·R·B·M_m·z
chemistry,em,mechanics
m²·v²·R⁻¹·B²·M_m⁻³·z⁻³
R = k₀ · m²·v²·B²·M_m⁻³·z⁻³
null
0
3
3
13
11.1
-2.1
false
{"mass": "2", "velocity": "2", "resistance": "-1", "bfield": "2", "molar_mass": "-3", "cat_activity": "-3"}
7
bfield,boltzmann,concentration,gas_constant,mass,resistance,velocity
m·v·R·B·c_n·R·k_B
chemistry,constants,em,mechanics
m·v·R·B⁻²·c_n·R·k_B⁻¹
m = k₀ · v⁻¹·R⁻¹·B²·c_n⁻¹·R⁻¹·k_B
null
1
4
2
8
8
0.5
false
{"mass": "1", "velocity": "1", "resistance": "1", "bfield": "-2", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
bfield,cat_activity,concentration,mass,resistance,velocity
m·v·R·B·c_n·z
chemistry,em,mechanics
m²·v⁵·R²·B⁻⁴·c_n³·z⁻³
m = k₀ · v⁻⁵ᐟ²·R⁻¹·B²·c_n⁻³ᐟ²·z³ᐟ²
null
0
3
5
19
16.3
-7.3
false
{"mass": "2", "velocity": "5", "resistance": "2", "bfield": "-4", "concentration": "3", "cat_activity": "-3"}
6
avogadro,bfield,concentration,mass,resistance,velocity
m·v·R·B·c_n·N_A
chemistry,constants,em,mechanics
m·v·R·B⁻²·c_n·N_A
m = k₀ · v⁻¹·R⁻¹·B²·c_n⁻¹·N_A⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "1", "resistance": "1", "bfield": "-2", "concentration": "1", "avogadro": "1"}
6
bfield,cat_activity,mass,molar_energy,resistance,velocity
m·v·R·B·E_m·z
chemistry,em,mechanics
m²·v⁸·R⁻¹·B²·E_m⁻³·z⁻³
R = k₀ · m²·v⁸·B²·E_m⁻³·z⁻³
null
0
3
8
19
17.8
-8.8
false
{"mass": "2", "velocity": "8", "resistance": "-1", "bfield": "2", "molar_energy": "-3", "cat_activity": "-3"}
7
bfield,boltzmann,cat_activity,gas_constant,mass,resistance,velocity
m·v·R·B·R·z·k_B
chemistry,constants,em,mechanics
m·v⁻²·R·B⁻²·R³·z³·k_B⁻³
m = k₀ · v²·R⁻¹·B²·R⁻³·z⁻³·k_B³
null
1
4
3
15
13.4
-4.9
false
{"mass": "1", "velocity": "-2", "resistance": "1", "bfield": "-2", "gas_constant": "3", "cat_activity": "3", "boltzmann": "-3"}
6
avogadro,bfield,cat_activity,mass,resistance,velocity
m·v·R·B·z·N_A
chemistry,constants,em,mechanics
m·v⁻²·R·B⁻²·z³·N_A³
m = k₀ · v²·R⁻¹·B²·z⁻³·N_A⁻³
null
1
4
3
12
11
-2.5
false
{"mass": "1", "velocity": "-2", "resistance": "1", "bfield": "-2", "cat_activity": "3", "avogadro": "3"}
6
bfield,illuminance,lum_intensity,mass,resistance,velocity
m·v·R·B·I_v·E_v
em,mechanics,photometry
m²·v²·R²·B⁻⁴·I_v⁻³·E_v³
m = k₀ · v⁻¹·R⁻¹·B²·I_v³ᐟ²·E_v⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "velocity": "2", "resistance": "2", "bfield": "-4", "lum_intensity": "-3", "illuminance": "3"}
6
bfield,lum_intensity,luminance,mass,resistance,velocity
m·v·R·B·I_v·L_v
em,mechanics,photometry
m²·v²·R²·B⁻⁴·I_v⁻³·L_v³
m = k₀ · v⁻¹·R⁻¹·B²·I_v³ᐟ²·L_v⁻³ᐟ²
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "velocity": "2", "resistance": "2", "bfield": "-4", "lum_intensity": "-3", "luminance": "3"}
5
bfield,grav_const,mass,resistance,velocity
m·v·R·B·G
constants,em,mechanics
m²·v⁻⁷·R⁻¹·B²·G³
R = k₀ · m²·v⁻⁷·B²·G³
null
1
3
7
15
14.2
-5.2
false
{"mass": "2", "velocity": "-7", "resistance": "-1", "bfield": "2", "grav_const": "3"}
5
bfield,mass,planck,resistance,velocity
m·v·R·B·h
constants,em,mechanics
m⁴·v⁴·R·B⁻²·h⁻³
R = k₀ · m⁻⁴·v⁻⁴·B²·h³
null
1
3
4
14
12
-3
false
{"mass": "4", "velocity": "4", "resistance": "1", "bfield": "-2", "planck": "-3"}
5
bfield,elem_charge,mass,resistance,velocity
m·v·R·B·e
constants,em,mechanics
m²·v²·R⁻¹·B⁻¹·e⁻³
R = k₀ · m²·v²·B⁻¹·e⁻³
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "2", "resistance": "-1", "bfield": "-1", "elem_charge": "-3"}
6
amount,concentration,mag_flux,mass,resistance,velocity
m·v·R·Φ·n·c_n
chemistry,em,mechanics
m³·v³·R³·Φ⁻⁶·n·c_n⁻¹
n = k₀ · m⁻³·v⁻³·R⁻³·Φ⁶·c_n
null
0
3
6
17
15.4
-6.4
false
{"mass": "3", "velocity": "3", "resistance": "3", "mag_flux": "-6", "amount": "1", "concentration": "-1"}
6
amount,cat_activity,mag_flux,mass,resistance,velocity
m·v·R·Φ·n·z
chemistry,em,mechanics
m·v²·R·Φ⁻²·n·z⁻¹
m = k₀ · v⁻²·R⁻¹·Φ²·n⁻¹·z
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "2", "resistance": "1", "mag_flux": "-2", "amount": "1", "cat_activity": "-1"}
6
concentration,mag_flux,mass,molar_mass,resistance,velocity
m·v·R·Φ·M_m·c_n
chemistry,em,mechanics
m⁴·v³·R³·Φ⁻⁶·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·v³·R³·Φ⁻⁶·c_n⁻¹
null
0
3
6
18
16.1
-7.1
false
{"mass": "4", "velocity": "3", "resistance": "3", "mag_flux": "-6", "molar_mass": "-1", "concentration": "-1"}
6
cat_activity,mag_flux,mass,molar_mass,resistance,velocity
m·v·R·Φ·M_m·z
chemistry,em,mechanics
m²·v²·R·Φ⁻²·M_m⁻¹·z⁻¹
R = k₀ · m⁻²·v⁻²·Φ²·M_m·z
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "velocity": "2", "resistance": "1", "mag_flux": "-2", "molar_mass": "-1", "cat_activity": "-1"}
6
concentration,mag_flux,mass,molar_energy,resistance,velocity
m·v·R·Φ·c_n·E_m
chemistry,em,mechanics
m⁴·v⁵·R³·Φ⁻⁶·c_n⁻¹·E_m⁻¹
c_n = k₀ · m⁴·v⁵·R³·Φ⁻⁶·E_m⁻¹
null
0
3
6
20
17.5
-8.5
false
{"mass": "4", "velocity": "5", "resistance": "3", "mag_flux": "-6", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,concentration,gas_constant,mag_flux,mass,resistance,velocity
m·v·R·Φ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v³·R³·Φ⁻⁶·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·v³·R³·Φ⁻⁶·R⁻¹·k_B
null
1
4
6
18
17
-8.5
false
{"mass": "3", "velocity": "3", "resistance": "3", "mag_flux": "-6", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,concentration,mag_flux,mass,resistance,velocity
m·v·R·Φ·c_n·z
chemistry,em,mechanics
m²·v·R²·Φ⁻⁴·c_n⁻¹·z
v = k₀ · m⁻²·R⁻²·Φ⁴·c_n·z⁻¹
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "1", "resistance": "2", "mag_flux": "-4", "concentration": "-1", "cat_activity": "1"}
6
avogadro,concentration,mag_flux,mass,resistance,velocity
m·v·R·Φ·c_n·N_A
chemistry,constants,em,mechanics
m³·v³·R³·Φ⁻⁶·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·v³·R³·Φ⁻⁶·N_A⁻¹
null
1
4
6
17
16
-7.5
false
{"mass": "3", "velocity": "3", "resistance": "3", "mag_flux": "-6", "concentration": "-1", "avogadro": "-1"}
6
cat_activity,mag_flux,mass,molar_energy,resistance,velocity
m·v·R·Φ·E_m·z
chemistry,em,mechanics
m²·v⁴·R·Φ⁻²·E_m⁻¹·z⁻¹
R = k₀ · m⁻²·v⁻⁴·Φ²·E_m·z
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "4", "resistance": "1", "mag_flux": "-2", "molar_energy": "-1", "cat_activity": "-1"}
7
boltzmann,cat_activity,gas_constant,mag_flux,mass,resistance,velocity
m·v·R·Φ·R·z·k_B
chemistry,constants,em,mechanics
m·v²·R·Φ⁻²·R⁻¹·z⁻¹·k_B
m = k₀ · v⁻²·R⁻¹·Φ²·R·z·k_B⁻¹
null
1
4
2
9
8.7
-0.2
false
{"mass": "1", "velocity": "2", "resistance": "1", "mag_flux": "-2", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"}
6
avogadro,cat_activity,mag_flux,mass,resistance,velocity
m·v·R·Φ·z·N_A
chemistry,constants,em,mechanics
m·v²·R·Φ⁻²·z⁻¹·N_A⁻¹
m = k₀ · v⁻²·R⁻¹·Φ²·z·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "velocity": "2", "resistance": "1", "mag_flux": "-2", "cat_activity": "-1", "avogadro": "-1"}
6
illuminance,lum_intensity,mag_flux,mass,resistance,velocity
m·v·R·Φ·I_v·E_v
em,mechanics,photometry
m²·v²·R²·Φ⁻⁴·I_v·E_v⁻¹
I_v = k₀ · m⁻²·v⁻²·R⁻²·Φ⁴·E_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "2", "resistance": "2", "mag_flux": "-4", "lum_intensity": "1", "illuminance": "-1"}
6
lum_intensity,luminance,mag_flux,mass,resistance,velocity
m·v·R·Φ·I_v·L_v
em,mechanics,photometry
m²·v²·R²·Φ⁻⁴·I_v·L_v⁻¹
I_v = k₀ · m⁻²·v⁻²·R⁻²·Φ⁴·L_v
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "2", "resistance": "2", "mag_flux": "-4", "lum_intensity": "1", "luminance": "-1"}
5
grav_const,mag_flux,mass,resistance,velocity
m·v·R·Φ·G
constants,em,mechanics
m²·v⁻¹·R·Φ⁻²·G
v = k₀ · m²·R·Φ⁻²·G
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "velocity": "-1", "resistance": "1", "mag_flux": "-2", "grav_const": "1"}
6
cat_activity,conductivity,mass,molar_mass,resistance,velocity
m·v·R·σ·M_m·z
chemistry,em,mechanics
m·v·R·σ·M_m⁻¹·z⁻¹
m = k₀ · v⁻¹·R⁻¹·σ⁻¹·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "resistance": "1", "conductivity": "1", "molar_mass": "-1", "cat_activity": "-1"}
6
concentration,conductivity,mass,molar_energy,resistance,velocity
m·v·R·σ·c_n·E_m
chemistry,em,mechanics
m·v²·R³·σ³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻²·R⁻³·σ⁻³·c_n·E_m
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "2", "resistance": "3", "conductivity": "3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,conductivity,mass,molar_energy,resistance,velocity
m·v·R·σ·E_m·z
chemistry,em,mechanics
m·v³·R·σ·E_m⁻¹·z⁻¹
m = k₀ · v⁻³·R⁻¹·σ⁻¹·E_m·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "resistance": "1", "conductivity": "1", "molar_energy": "-1", "cat_activity": "-1"}
5
conductivity,grav_const,mass,resistance,velocity
m·v·R·σ·G
constants,em,mechanics
m·v⁻²·R·σ·G
m = k₀ · v²·R⁻¹·σ⁻¹·G⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-2", "resistance": "1", "conductivity": "1", "grav_const": "1"}
5
conductivity,mass,planck,resistance,velocity
m·v·R·σ·h
constants,em,mechanics
m·v·R⁻¹·σ⁻¹·h⁻¹
m = k₀ · v⁻¹·R·σ·h
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "resistance": "-1", "conductivity": "-1", "planck": "-1"}
5
conductivity,elem_charge,mass,resistance,velocity
m·v·R·σ·e
constants,em,mechanics
m·v·R⁻²·σ⁻¹·e⁻²
m = k₀ · v⁻¹·R²·σ·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "1", "resistance": "-2", "conductivity": "-1", "elem_charge": "-2"}
6
cat_activity,mass,molar_mass,resistance,resistivity,velocity
m·v·R·ρ_e·M_m·z
chemistry,em,mechanics
m·v·R·ρ_e⁻¹·M_m⁻¹·z⁻¹
m = k₀ · v⁻¹·R⁻¹·ρ_e·M_m·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "resistance": "1", "resistivity": "-1", "molar_mass": "-1", "cat_activity": "-1"}
6
concentration,mass,molar_energy,resistance,resistivity,velocity
m·v·R·ρ_e·c_n·E_m
chemistry,em,mechanics
m·v²·R³·ρ_e⁻³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁻²·R⁻³·ρ_e³·c_n·E_m
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "2", "resistance": "3", "resistivity": "-3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,mass,molar_energy,resistance,resistivity,velocity
m·v·R·ρ_e·E_m·z
chemistry,em,mechanics
m·v³·R·ρ_e⁻¹·E_m⁻¹·z⁻¹
m = k₀ · v⁻³·R⁻¹·ρ_e·E_m·z
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "resistance": "1", "resistivity": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
grav_const,mass,resistance,resistivity,velocity
m·v·R·ρ_e·G
constants,em,mechanics
m·v⁻²·R·ρ_e⁻¹·G
m = k₀ · v²·R⁻¹·ρ_e·G⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "-2", "resistance": "1", "resistivity": "-1", "grav_const": "1"}
5
mass,planck,resistance,resistivity,velocity
m·v·R·ρ_e·h
constants,em,mechanics
m·v·R⁻¹·ρ_e·h⁻¹
m = k₀ · v⁻¹·R·ρ_e⁻¹·h
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "resistance": "-1", "resistivity": "1", "planck": "-1"}
5
elem_charge,mass,resistance,resistivity,velocity
m·v·R·ρ_e·e
constants,em,mechanics
m·v·R⁻²·ρ_e·e⁻²
m = k₀ · v⁻¹·R²·ρ_e⁻¹·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "1", "resistance": "-2", "resistivity": "1", "elem_charge": "-2"}
6
amount,concentration,elem_charge,mass,resistance,velocity
m·v·R·n·c_n·e
chemistry,constants,em,mechanics
m³·v³·R⁻³·n·c_n⁻¹·e⁻⁶
n = k₀ · m⁻³·v⁻³·R³·c_n·e⁶
null
1
4
6
17
16
-7.5
false
{"mass": "3", "velocity": "3", "resistance": "-3", "amount": "1", "concentration": "-1", "elem_charge": "-6"}
6
amount,cat_activity,elem_charge,mass,resistance,velocity
m·v·R·n·z·e
chemistry,constants,em,mechanics
m·v²·R⁻¹·n·z⁻¹·e⁻²
m = k₀ · v⁻²·R·n⁻¹·z·e²
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "velocity": "2", "resistance": "-1", "amount": "1", "cat_activity": "-1", "elem_charge": "-2"}
6
concentration,elem_charge,mass,molar_mass,resistance,velocity
m·v·R·M_m·c_n·e
chemistry,constants,em,mechanics
m⁴·v³·R⁻³·M_m⁻¹·c_n⁻¹·e⁻⁶
M_m = k₀ · m⁴·v³·R⁻³·c_n⁻¹·e⁻⁶
null
1
4
6
18
16.7
-8.2
false
{"mass": "4", "velocity": "3", "resistance": "-3", "molar_mass": "-1", "concentration": "-1", "elem_charge": "-6"}
6
cat_activity,elem_charge,mass,molar_mass,resistance,velocity
m·v·R·M_m·z·e
chemistry,constants,em,mechanics
m²·v²·R⁻¹·M_m⁻¹·z⁻¹·e⁻²
R = k₀ · m²·v²·M_m⁻¹·z⁻¹·e⁻²
null
1
4
2
9
8.4
0.1
false
{"mass": "2", "velocity": "2", "resistance": "-1", "molar_mass": "-1", "cat_activity": "-1", "elem_charge": "-2"}
6
concentration,elem_charge,mass,molar_energy,resistance,velocity
m·v·R·c_n·E_m·e
chemistry,constants,em,mechanics
m⁴·v⁵·R⁻³·c_n⁻¹·E_m⁻¹·e⁻⁶
c_n = k₀ · m⁴·v⁵·R⁻³·E_m⁻¹·e⁻⁶
null
1
4
6
20
18.1
-9.6
false
{"mass": "4", "velocity": "5", "resistance": "-3", "concentration": "-1", "molar_energy": "-1", "elem_charge": "-6"}
7
boltzmann,concentration,elem_charge,gas_constant,mass,resistance,velocity
m·v·R·c_n·R·k_B·e
chemistry,constants,em,mechanics
m³·v³·R⁻³·c_n⁻¹·R⁻¹·k_B·e⁻⁶
c_n = k₀ · m³·v³·R⁻³·R⁻¹·k_B·e⁻⁶
null
2
4
6
18
18
-11
false
{"mass": "3", "velocity": "3", "resistance": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1", "elem_charge": "-6"}
6
cat_activity,concentration,elem_charge,mass,resistance,velocity
m·v·R·c_n·z·e
chemistry,constants,em,mechanics
m²·v·R⁻²·c_n⁻¹·z·e⁻⁴
v = k₀ · m⁻²·R²·c_n·z⁻¹·e⁴
null
1
4
4
11
10.8
-2.3
false
{"mass": "2", "velocity": "1", "resistance": "-2", "concentration": "-1", "cat_activity": "1", "elem_charge": "-4"}
6
avogadro,concentration,elem_charge,mass,resistance,velocity
m·v·R·c_n·e·N_A
chemistry,constants,em,mechanics
m³·v³·R⁻³·c_n⁻¹·e⁻⁶·N_A⁻¹
c_n = k₀ · m³·v³·R⁻³·e⁻⁶·N_A⁻¹
null
2
4
6
17
17
-10
false
{"mass": "3", "velocity": "3", "resistance": "-3", "concentration": "-1", "elem_charge": "-6", "avogadro": "-1"}
6
cat_activity,elem_charge,mass,molar_energy,resistance,velocity
m·v·R·E_m·z·e
chemistry,constants,em,mechanics
m²·v⁴·R⁻¹·E_m⁻¹·z⁻¹·e⁻²
R = k₀ · m²·v⁴·E_m⁻¹·z⁻¹·e⁻²
null
1
4
4
11
10.8
-2.3
false
{"mass": "2", "velocity": "4", "resistance": "-1", "molar_energy": "-1", "cat_activity": "-1", "elem_charge": "-2"}
7
boltzmann,cat_activity,elem_charge,gas_constant,mass,resistance,velocity
m·v·R·R·z·k_B·e
chemistry,constants,em,mechanics
m·v²·R⁻¹·R⁻¹·z⁻¹·k_B·e⁻²
m = k₀ · v⁻²·R·R·z·k_B⁻¹·e²
null
2
4
2
9
9.7
-2.7
false
{"mass": "1", "velocity": "2", "resistance": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1", "elem_charge": "-2"}
6
avogadro,cat_activity,elem_charge,mass,resistance,velocity
m·v·R·z·e·N_A
chemistry,constants,em,mechanics
m·v²·R⁻¹·z⁻¹·e⁻²·N_A⁻¹
m = k₀ · v⁻²·R·z·e²·N_A
null
2
4
2
8
8.7
-1.7
false
{"mass": "1", "velocity": "2", "resistance": "-1", "cat_activity": "-1", "elem_charge": "-2", "avogadro": "-1"}
6
elem_charge,illuminance,lum_intensity,mass,resistance,velocity
m·v·R·I_v·E_v·e
constants,em,mechanics,photometry
m²·v²·R⁻²·I_v·E_v⁻¹·e⁻⁴
I_v = k₀ · m⁻²·v⁻²·R²·E_v·e⁴
null
1
4
4
12
11.5
-3
false
{"mass": "2", "velocity": "2", "resistance": "-2", "lum_intensity": "1", "illuminance": "-1", "elem_charge": "-4"}
6
elem_charge,lum_intensity,luminance,mass,resistance,velocity
m·v·R·I_v·L_v·e
constants,em,mechanics,photometry
m²·v²·R⁻²·I_v·L_v⁻¹·e⁻⁴
I_v = k₀ · m⁻²·v⁻²·R²·L_v·e⁴
null
1
4
4
12
11.5
-3
false
{"mass": "2", "velocity": "2", "resistance": "-2", "lum_intensity": "1", "luminance": "-1", "elem_charge": "-4"}
5
elem_charge,grav_const,mass,resistance,velocity
m·v·R·G·e
constants,em,mechanics
m²·v⁻¹·R⁻¹·G·e⁻²
v = k₀ · m²·R⁻¹·G·e⁻²
null
2
3
2
7
7.1
0.4
false
{"mass": "2", "velocity": "-1", "resistance": "-1", "grav_const": "1", "elem_charge": "-2"}
5
bfield,capacitance,inductance,mass,velocity
m·v·C_e·L_e·B
em,mechanics
m·v⁻²·C_e⁻²·L_e⁻¹·B⁻²
m = k₀ · v²·C_e²·L_e·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "capacitance": "-2", "inductance": "-1", "bfield": "-2"}
6
capacitance,concentration,inductance,mass,molar_mass,velocity
m·v·C_e·L_e·M_m·c_n
chemistry,em,mechanics
m²·v⁻⁶·C_e⁻³·L_e⁻³·M_m⁻²·c_n⁻²
m = k₀ · v³·C_e³ᐟ²·L_e³ᐟ²·M_m·c_n
null
0
3
6
18
16.1
-7.1
false
{"mass": "2", "velocity": "-6", "capacitance": "-3", "inductance": "-3", "molar_mass": "-2", "concentration": "-2"}
6
capacitance,concentration,inductance,mass,molar_energy,velocity
m·v·C_e·L_e·c_n·E_m
chemistry,em,mechanics
m²·v⁻²·C_e⁻³·L_e⁻³·c_n⁻²·E_m⁻²
m = k₀ · v·C_e³ᐟ²·L_e³ᐟ²·c_n·E_m
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "velocity": "-2", "capacitance": "-3", "inductance": "-3", "concentration": "-2", "molar_energy": "-2"}
6
capacitance,cat_activity,inductance,mass,molar_energy,velocity
m·v·C_e·L_e·E_m·z
chemistry,em,mechanics
m²·v⁴·C_e⁻¹·L_e⁻¹·E_m⁻²·z⁻²
C_e = k₀ · m²·v⁴·L_e⁻¹·E_m⁻²·z⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "2", "velocity": "4", "capacitance": "-1", "inductance": "-1", "molar_energy": "-2", "cat_activity": "-2"}
5
capacitance,grav_const,inductance,mass,velocity
m·v·C_e·L_e·G
constants,em,mechanics
m²·v⁻⁶·C_e⁻¹·L_e⁻¹·G²
C_e = k₀ · m²·v⁻⁶·L_e⁻¹·G²
null
1
3
6
12
11.6
-2.6
false
{"mass": "2", "velocity": "-6", "capacitance": "-1", "inductance": "-1", "grav_const": "2"}
5
capacitance,inductance,mass,planck,velocity
m·v·C_e·L_e·h
constants,em,mechanics
m²·v⁴·C_e·L_e·h⁻²
C_e = k₀ · m⁻²·v⁻⁴·L_e⁻¹·h²
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "4", "capacitance": "1", "inductance": "1", "planck": "-2"}
5
capacitance,efield,mag_flux,mass,velocity
m·v·C_e·E_f·Φ
em,mechanics
m·v·C_e⁻¹·E_f⁻¹·Φ⁻¹
m = k₀ · v⁻¹·C_e·E_f·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "capacitance": "-1", "efield": "-1", "mag_flux": "-1"}
5
capacitance,efield,mass,permittivity,velocity
m·v·C_e·E_f·ε
em,mechanics
m·v²·C_e⁻³·E_f⁻²·ε²
m = k₀ · v⁻²·C_e³·E_f²·ε⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "capacitance": "-3", "efield": "-2", "permittivity": "2"}
5
capacitance,efield,mass,permeability,velocity
m·v·C_e·E_f·μ₀
em,mechanics
m·v⁻²·C_e⁻³·E_f⁻²·μ₀⁻²
m = k₀ · v²·C_e³·E_f²·μ₀²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "-2", "capacitance": "-3", "efield": "-2", "permeability": "-2"}
5
capacitance,conductivity,efield,mass,velocity
m·v·C_e·E_f·σ
em,mechanics
m·v·C_e⁻²·E_f⁻²·σ
m = k₀ · v⁻¹·C_e²·E_f²·σ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "capacitance": "-2", "efield": "-2", "conductivity": "1"}
5
capacitance,efield,mass,resistivity,velocity
m·v·C_e·E_f·ρ_e
em,mechanics
m·v·C_e⁻²·E_f⁻²·ρ_e⁻¹
m = k₀ · v⁻¹·C_e²·E_f²·ρ_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "capacitance": "-2", "efield": "-2", "resistivity": "-1"}
6
amount,capacitance,concentration,efield,mass,velocity
m·v·C_e·E_f·n·c_n
chemistry,em,mechanics
m³·v⁶·C_e⁻³·E_f⁻⁶·n⁻²·c_n²
n = k₀ · m³ᐟ²·v³·C_e⁻³ᐟ²·E_f⁻³·c_n
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "velocity": "6", "capacitance": "-3", "efield": "-6", "amount": "-2", "concentration": "2"}
6
capacitance,concentration,efield,mass,molar_mass,velocity
m·v·C_e·E_f·M_m·c_n
chemistry,em,mechanics
m·v⁶·C_e⁻³·E_f⁻⁶·M_m²·c_n²
m = k₀ · v⁻⁶·C_e³·E_f⁶·M_m⁻²·c_n⁻²
null
0
3
6
20
17.5
-8.5
false
{"mass": "1", "velocity": "6", "capacitance": "-3", "efield": "-6", "molar_mass": "2", "concentration": "2"}
6
capacitance,concentration,efield,mass,molar_energy,velocity
m·v·C_e·E_f·c_n·E_m
chemistry,em,mechanics
m·v²·C_e⁻³·E_f⁻⁶·c_n²·E_m²
m = k₀ · v⁻²·C_e³·E_f⁶·c_n⁻²·E_m⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "velocity": "2", "capacitance": "-3", "efield": "-6", "concentration": "2", "molar_energy": "2"}
7
boltzmann,capacitance,concentration,efield,gas_constant,mass,velocity
m·v·C_e·E_f·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁶·C_e⁻³·E_f⁻⁶·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻³·C_e³ᐟ²·E_f³·R⁻¹·k_B
null
1
4
6
24
21.2
-12.7
false
{"mass": "3", "velocity": "6", "capacitance": "-3", "efield": "-6", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
capacitance,cat_activity,concentration,efield,mass,velocity
m·v·C_e·E_f·c_n·z
chemistry,em,mechanics
m·v³·C_e⁻¹·E_f⁻²·c_n·z⁻¹
m = k₀ · v⁻³·C_e·E_f²·c_n⁻¹·z
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "capacitance": "-1", "efield": "-2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,capacitance,concentration,efield,mass,velocity
m·v·C_e·E_f·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁶·C_e⁻³·E_f⁻⁶·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻³·C_e³ᐟ²·E_f³·N_A⁻¹
null
1
4
6
22
19.5
-11
false
{"mass": "3", "velocity": "6", "capacitance": "-3", "efield": "-6", "concentration": "2", "avogadro": "2"}
6
capacitance,cat_activity,efield,mass,molar_energy,velocity
m·v·C_e·E_f·E_m·z
chemistry,em,mechanics
m·v⁴·C_e·E_f²·E_m⁻²·z⁻²
m = k₀ · v⁻⁴·C_e⁻¹·E_f⁻²·E_m²·z²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "capacitance": "1", "efield": "2", "molar_energy": "-2", "cat_activity": "-2"}
6
capacitance,efield,illuminance,lum_intensity,mass,velocity
m·v·C_e·E_f·I_v·E_v
em,mechanics,photometry
m·v²·C_e⁻¹·E_f⁻²·I_v⁻¹·E_v
m = k₀ · v⁻²·C_e·E_f²·I_v·E_v⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "2", "capacitance": "-1", "efield": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
capacitance,efield,lum_intensity,luminance,mass,velocity
m·v·C_e·E_f·I_v·L_v
em,mechanics,photometry
m·v²·C_e⁻¹·E_f⁻²·I_v⁻¹·L_v
m = k₀ · v⁻²·C_e·E_f²·I_v·L_v⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "2", "capacitance": "-1", "efield": "-2", "lum_intensity": "-1", "luminance": "1"}
5
capacitance,efield,grav_const,mass,velocity
m·v·C_e·E_f·G
constants,em,mechanics
m·v⁻⁶·C_e·E_f²·G²
m = k₀ · v⁶·C_e⁻¹·E_f⁻²·G⁻²
null
1
3
6
12
11.6
-2.6
false
{"mass": "1", "velocity": "-6", "capacitance": "1", "efield": "2", "grav_const": "2"}
5
capacitance,efield,mass,planck,velocity
m·v·C_e·E_f·h
constants,em,mechanics
m³·v⁴·C_e⁻¹·E_f⁻²·h⁻²
C_e = k₀ · m³·v⁴·E_f⁻²·h⁻²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "4", "capacitance": "-1", "efield": "-2", "planck": "-2"}