Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
8
keys
stringlengths
10
106
symbols
stringlengths
3
29
domains
stringclasses
62 values
pi
stringlengths
3
46
equation
stringlengths
10
59
name
stringclasses
19 values
n_const
int64
0
4
n_domains
int64
1
6
max_exp
int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
6
cat_activity,charge,concentration,mag_flux,mass,velocity
m·v·q·Φ·c_n·z
chemistry,em,mechanics
m²·v·q⁻²·Φ⁻²·c_n⁻¹·z
v = k₀ · m⁻²·q²·Φ²·c_n·z⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "velocity": "1", "charge": "-2", "mag_flux": "-2", "concentration": "-1", "cat_activity": "1"}
6
avogadro,charge,concentration,mag_flux,mass,velocity
m·v·q·Φ·c_n·N_A
chemistry,constants,em,mechanics
m³·v³·q⁻³·Φ⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·v³·q⁻³·Φ⁻³·N_A⁻¹
null
1
4
3
14
12.4
-3.9
false
{"mass": "3", "velocity": "3", "charge": "-3", "mag_flux": "-3", "concentration": "-1", "avogadro": "-1"}
6
cat_activity,charge,mag_flux,mass,molar_energy,velocity
m·v·q·Φ·E_m·z
chemistry,em,mechanics
m²·v⁴·q⁻¹·Φ⁻¹·E_m⁻¹·z⁻¹
q = k₀ · m²·v⁴·Φ⁻¹·E_m⁻¹·z⁻¹
null
0
3
4
10
9.5
-0.5
false
{"mass": "2", "velocity": "4", "charge": "-1", "mag_flux": "-1", "molar_energy": "-1", "cat_activity": "-1"}
7
boltzmann,cat_activity,charge,gas_constant,mag_flux,mass,velocity
m·v·q·Φ·R·z·k_B
chemistry,constants,em,mechanics
m·v²·q⁻¹·Φ⁻¹·R⁻¹·z⁻¹·k_B
m = k₀ · v⁻²·q·Φ·R·z·k_B⁻¹
null
1
4
2
8
8
0.5
false
{"mass": "1", "velocity": "2", "charge": "-1", "mag_flux": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"}
6
avogadro,cat_activity,charge,mag_flux,mass,velocity
m·v·q·Φ·z·N_A
chemistry,constants,em,mechanics
m·v²·q⁻¹·Φ⁻¹·z⁻¹·N_A⁻¹
m = k₀ · v⁻²·q·Φ·z·N_A
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "2", "charge": "-1", "mag_flux": "-1", "cat_activity": "-1", "avogadro": "-1"}
6
charge,illuminance,lum_intensity,mag_flux,mass,velocity
m·v·q·Φ·I_v·E_v
em,mechanics,photometry
m²·v²·q⁻²·Φ⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·v⁻²·q²·Φ²·E_v
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "velocity": "2", "charge": "-2", "mag_flux": "-2", "lum_intensity": "1", "illuminance": "-1"}
6
charge,lum_intensity,luminance,mag_flux,mass,velocity
m·v·q·Φ·I_v·L_v
em,mechanics,photometry
m²·v²·q⁻²·Φ⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·v⁻²·q²·Φ²·L_v
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "velocity": "2", "charge": "-2", "mag_flux": "-2", "lum_intensity": "1", "luminance": "-1"}
5
charge,grav_const,mag_flux,mass,velocity
m·v·q·Φ·G
constants,em,mechanics
m²·v⁻¹·q⁻¹·Φ⁻¹·G
v = k₀ · m²·q⁻¹·Φ⁻¹·G
null
1
3
2
6
5.4
3.6
false
{"mass": "2", "velocity": "-1", "charge": "-1", "mag_flux": "-1", "grav_const": "1"}
5
charge,conductivity,mass,permittivity,velocity
m·v·q·ε·σ
em,mechanics
m·v³·q⁻²·ε²·σ⁻¹
m = k₀ · v⁻³·q²·ε⁻²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "charge": "-2", "permittivity": "2", "conductivity": "-1"}
5
charge,mass,permittivity,resistivity,velocity
m·v·q·ε·ρ_e
em,mechanics
m·v³·q⁻²·ε²·ρ_e
m = k₀ · v⁻³·q²·ε⁻²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "charge": "-2", "permittivity": "2", "resistivity": "1"}
6
amount,charge,concentration,mass,permittivity,velocity
m·v·q·ε·n·c_n
chemistry,em,mechanics
m³·v⁶·q⁻⁶·ε³·n·c_n⁻¹
n = k₀ · m⁻³·v⁻⁶·q⁶·ε⁻³·c_n
null
0
3
6
20
17.5
-8.5
false
{"mass": "3", "velocity": "6", "charge": "-6", "permittivity": "3", "amount": "1", "concentration": "-1"}
6
amount,cat_activity,charge,mass,permittivity,velocity
m·v·q·ε·n·z
chemistry,em,mechanics
m·v³·q⁻²·ε·n·z⁻¹
m = k₀ · v⁻³·q²·ε⁻¹·n⁻¹·z
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "3", "charge": "-2", "permittivity": "1", "amount": "1", "cat_activity": "-1"}
6
charge,concentration,mass,molar_mass,permittivity,velocity
m·v·q·ε·M_m·c_n
chemistry,em,mechanics
m⁴·v⁶·q⁻⁶·ε³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·v⁶·q⁻⁶·ε³·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "4", "velocity": "6", "charge": "-6", "permittivity": "3", "molar_mass": "-1", "concentration": "-1"}
6
cat_activity,charge,mass,molar_mass,permittivity,velocity
m·v·q·ε·M_m·z
chemistry,em,mechanics
m²·v³·q⁻²·ε·M_m⁻¹·z⁻¹
ε = k₀ · m⁻²·v⁻³·q²·M_m·z
null
0
3
3
10
9
0
false
{"mass": "2", "velocity": "3", "charge": "-2", "permittivity": "1", "molar_mass": "-1", "cat_activity": "-1"}
6
charge,concentration,mass,molar_energy,permittivity,velocity
m·v·q·ε·c_n·E_m
chemistry,em,mechanics
m⁴·v⁸·q⁻⁶·ε³·c_n⁻¹·E_m⁻¹
c_n = k₀ · m⁴·v⁸·q⁻⁶·ε³·E_m⁻¹
null
0
3
8
23
20.6
-11.6
false
{"mass": "4", "velocity": "8", "charge": "-6", "permittivity": "3", "concentration": "-1", "molar_energy": "-1"}
7
boltzmann,charge,concentration,gas_constant,mass,permittivity,velocity
m·v·q·ε·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁶·q⁻⁶·ε³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·v⁶·q⁻⁶·ε³·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "velocity": "6", "charge": "-6", "permittivity": "3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
6
cat_activity,charge,concentration,mass,permittivity,velocity
m·v·q·ε·c_n·z
chemistry,em,mechanics
m²·v³·q⁻⁴·ε²·c_n⁻¹·z
c_n = k₀ · m²·v³·q⁻⁴·ε²·z
null
0
3
4
13
11.6
-2.6
false
{"mass": "2", "velocity": "3", "charge": "-4", "permittivity": "2", "concentration": "-1", "cat_activity": "1"}
6
avogadro,charge,concentration,mass,permittivity,velocity
m·v·q·ε·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁶·q⁻⁶·ε³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·v⁶·q⁻⁶·ε³·N_A⁻¹
null
1
4
6
20
18.1
-9.6
false
{"mass": "3", "velocity": "6", "charge": "-6", "permittivity": "3", "concentration": "-1", "avogadro": "-1"}
6
cat_activity,charge,mass,molar_energy,permittivity,velocity
m·v·q·ε·E_m·z
chemistry,em,mechanics
m²·v⁵·q⁻²·ε·E_m⁻¹·z⁻¹
ε = k₀ · m⁻²·v⁻⁵·q²·E_m·z
null
0
3
5
12
11.4
-2.4
false
{"mass": "2", "velocity": "5", "charge": "-2", "permittivity": "1", "molar_energy": "-1", "cat_activity": "-1"}
7
boltzmann,cat_activity,charge,gas_constant,mass,permittivity,velocity
m·v·q·ε·R·z·k_B
chemistry,constants,em,mechanics
m·v³·q⁻²·ε·R⁻¹·z⁻¹·k_B
m = k₀ · v⁻³·q²·ε⁻¹·R·z·k_B⁻¹
null
1
4
3
10
9.9
-1.4
false
{"mass": "1", "velocity": "3", "charge": "-2", "permittivity": "1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"}
6
avogadro,cat_activity,charge,mass,permittivity,velocity
m·v·q·ε·z·N_A
chemistry,constants,em,mechanics
m·v³·q⁻²·ε·z⁻¹·N_A⁻¹
m = k₀ · v⁻³·q²·ε⁻¹·z·N_A
null
1
4
3
9
8.9
-0.4
false
{"mass": "1", "velocity": "3", "charge": "-2", "permittivity": "1", "cat_activity": "-1", "avogadro": "-1"}
6
charge,illuminance,lum_intensity,mass,permittivity,velocity
m·v·q·ε·I_v·E_v
em,mechanics,photometry
m²·v⁴·q⁻⁴·ε²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·v⁻⁴·q⁴·ε⁻²·E_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "velocity": "4", "charge": "-4", "permittivity": "2", "lum_intensity": "1", "illuminance": "-1"}
6
charge,lum_intensity,luminance,mass,permittivity,velocity
m·v·q·ε·I_v·L_v
em,mechanics,photometry
m²·v⁴·q⁻⁴·ε²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·v⁻⁴·q⁴·ε⁻²·L_v
null
0
3
4
14
12.3
-3.3
false
{"mass": "2", "velocity": "4", "charge": "-4", "permittivity": "2", "lum_intensity": "1", "luminance": "-1"}
5
charge,conductivity,mass,permeability,velocity
m·v·q·μ₀·σ
em,mechanics
m·v⁻¹·q⁻²·μ₀⁻²·σ⁻¹
m = k₀ · v·q²·μ₀²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-1", "charge": "-2", "permeability": "-2", "conductivity": "-1"}
5
charge,mass,permeability,resistivity,velocity
m·v·q·μ₀·ρ_e
em,mechanics
m·v⁻¹·q⁻²·μ₀⁻²·ρ_e
m = k₀ · v·q²·μ₀²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-1", "charge": "-2", "permeability": "-2", "resistivity": "1"}
6
amount,cat_activity,charge,mass,permeability,velocity
m·v·q·μ₀·n·z
chemistry,em,mechanics
m·v·q⁻²·μ₀⁻¹·n·z⁻¹
m = k₀ · v⁻¹·q²·μ₀·n⁻¹·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "charge": "-2", "permeability": "-1", "amount": "1", "cat_activity": "-1"}
6
cat_activity,charge,mass,molar_mass,permeability,velocity
m·v·q·μ₀·M_m·z
chemistry,em,mechanics
m²·v·q⁻²·μ₀⁻¹·M_m⁻¹·z⁻¹
v = k₀ · m⁻²·q²·μ₀·M_m·z
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "velocity": "1", "charge": "-2", "permeability": "-1", "molar_mass": "-1", "cat_activity": "-1"}
6
charge,concentration,mass,molar_energy,permeability,velocity
m·v·q·μ₀·c_n·E_m
chemistry,em,mechanics
m⁴·v²·q⁻⁶·μ₀⁻³·c_n⁻¹·E_m⁻¹
c_n = k₀ · m⁴·v²·q⁻⁶·μ₀⁻³·E_m⁻¹
null
0
3
6
17
15.4
-6.4
false
{"mass": "4", "velocity": "2", "charge": "-6", "permeability": "-3", "concentration": "-1", "molar_energy": "-1"}
6
cat_activity,charge,concentration,mass,permeability,velocity
m·v·q·μ₀·c_n·z
chemistry,em,mechanics
m²·v⁻¹·q⁻⁴·μ₀⁻²·c_n⁻¹·z
v = k₀ · m²·q⁻⁴·μ₀⁻²·c_n⁻¹·z
null
0
3
4
11
10.2
-1.2
false
{"mass": "2", "velocity": "-1", "charge": "-4", "permeability": "-2", "concentration": "-1", "cat_activity": "1"}
6
cat_activity,charge,mass,molar_energy,permeability,velocity
m·v·q·μ₀·E_m·z
chemistry,em,mechanics
m²·v³·q⁻²·μ₀⁻¹·E_m⁻¹·z⁻¹
μ₀ = k₀ · m²·v³·q⁻²·E_m⁻¹·z⁻¹
null
0
3
3
10
9
0
false
{"mass": "2", "velocity": "3", "charge": "-2", "permeability": "-1", "molar_energy": "-1", "cat_activity": "-1"}
7
boltzmann,cat_activity,charge,gas_constant,mass,permeability,velocity
m·v·q·μ₀·R·z·k_B
chemistry,constants,em,mechanics
m·v·q⁻²·μ₀⁻¹·R⁻¹·z⁻¹·k_B
m = k₀ · v⁻¹·q²·μ₀·R·z·k_B⁻¹
null
1
4
2
8
8
0.5
false
{"mass": "1", "velocity": "1", "charge": "-2", "permeability": "-1", "gas_constant": "-1", "cat_activity": "-1", "boltzmann": "1"}
6
avogadro,cat_activity,charge,mass,permeability,velocity
m·v·q·μ₀·z·N_A
chemistry,constants,em,mechanics
m·v·q⁻²·μ₀⁻¹·z⁻¹·N_A⁻¹
m = k₀ · v⁻¹·q²·μ₀·z·N_A
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "1", "charge": "-2", "permeability": "-1", "cat_activity": "-1", "avogadro": "-1"}
5
charge,grav_const,mass,permeability,velocity
m·v·q·μ₀·G
constants,em,mechanics
m²·v⁻²·q⁻²·μ₀⁻¹·G
μ₀ = k₀ · m²·v⁻²·q⁻²·G
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "velocity": "-2", "charge": "-2", "permeability": "-1", "grav_const": "1"}
6
amount,charge,concentration,conductivity,mass,velocity
m·v·q·σ·n·c_n
chemistry,em,mechanics
m³·v³·q⁻⁶·σ³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·q³·σ⁻³ᐟ²·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "velocity": "3", "charge": "-6", "conductivity": "3", "amount": "2", "concentration": "-2"}
6
amount,cat_activity,charge,conductivity,mass,velocity
m·v·q·σ·n·z
chemistry,em,mechanics
m·v³·q⁻²·σ·n²·z⁻²
m = k₀ · v⁻³·q²·σ⁻¹·n⁻²·z²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "3", "charge": "-2", "conductivity": "1", "amount": "2", "cat_activity": "-2"}
6
charge,concentration,conductivity,mass,molar_mass,velocity
m·v·q·σ·M_m·c_n
chemistry,em,mechanics
m⁵·v³·q⁻⁶·σ³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·v³ᐟ²·q⁻³·σ³ᐟ²·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "5", "velocity": "3", "charge": "-6", "conductivity": "3", "molar_mass": "-2", "concentration": "-2"}
6
cat_activity,charge,conductivity,mass,molar_mass,velocity
m·v·q·σ·M_m·z
chemistry,em,mechanics
m³·v³·q⁻²·σ·M_m⁻²·z⁻²
σ = k₀ · m⁻³·v⁻³·q²·M_m²·z²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "velocity": "3", "charge": "-2", "conductivity": "1", "molar_mass": "-2", "cat_activity": "-2"}
6
charge,concentration,conductivity,mass,molar_energy,velocity
m·v·q·σ·c_n·E_m
chemistry,em,mechanics
m⁵·v⁷·q⁻⁶·σ³·c_n⁻²·E_m⁻²
c_n = k₀ · m⁵ᐟ²·v⁷ᐟ²·q⁻³·σ³ᐟ²·E_m⁻¹
null
0
3
7
25
21.5
-12.5
false
{"mass": "5", "velocity": "7", "charge": "-6", "conductivity": "3", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,charge,concentration,conductivity,gas_constant,mass,velocity
m·v·q·σ·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v³·q⁻⁶·σ³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·v³ᐟ²·q⁻³·σ³ᐟ²·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "velocity": "3", "charge": "-6", "conductivity": "3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
avogadro,charge,concentration,conductivity,mass,velocity
m·v·q·σ·c_n·N_A
chemistry,constants,em,mechanics
m³·v³·q⁻⁶·σ³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·v³ᐟ²·q⁻³·σ³ᐟ²·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "velocity": "3", "charge": "-6", "conductivity": "3", "concentration": "-2", "avogadro": "-2"}
6
cat_activity,charge,conductivity,mass,molar_energy,velocity
m·v·q·σ·E_m·z
chemistry,em,mechanics
m³·v⁷·q⁻²·σ·E_m⁻²·z⁻²
σ = k₀ · m⁻³·v⁻⁷·q²·E_m²·z²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "velocity": "7", "charge": "-2", "conductivity": "1", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,cat_activity,charge,conductivity,gas_constant,mass,velocity
m·v·q·σ·R·z·k_B
chemistry,constants,em,mechanics
m·v³·q⁻²·σ·R⁻²·z⁻²·k_B²
m = k₀ · v⁻³·q²·σ⁻¹·R²·z²·k_B⁻²
null
1
4
3
13
12
-3.5
false
{"mass": "1", "velocity": "3", "charge": "-2", "conductivity": "1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
6
avogadro,cat_activity,charge,conductivity,mass,velocity
m·v·q·σ·z·N_A
chemistry,constants,em,mechanics
m·v³·q⁻²·σ·z⁻²·N_A⁻²
m = k₀ · v⁻³·q²·σ⁻¹·z²·N_A²
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "velocity": "3", "charge": "-2", "conductivity": "1", "cat_activity": "-2", "avogadro": "-2"}
6
charge,conductivity,illuminance,lum_intensity,mass,velocity
m·v·q·σ·I_v·E_v
em,mechanics,photometry
m·v·q⁻²·σ·I_v·E_v⁻¹
m = k₀ · v⁻¹·q²·σ⁻¹·I_v⁻¹·E_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "charge": "-2", "conductivity": "1", "lum_intensity": "1", "illuminance": "-1"}
6
charge,conductivity,lum_intensity,luminance,mass,velocity
m·v·q·σ·I_v·L_v
em,mechanics,photometry
m·v·q⁻²·σ·I_v·L_v⁻¹
m = k₀ · v⁻¹·q²·σ⁻¹·I_v⁻¹·L_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "charge": "-2", "conductivity": "1", "lum_intensity": "1", "luminance": "-1"}
5
charge,conductivity,grav_const,mass,velocity
m·v·q·σ·G
constants,em,mechanics
m³·v⁻³·q⁻²·σ·G²
σ = k₀ · m⁻³·v³·q²·G⁻²
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "velocity": "-3", "charge": "-2", "conductivity": "1", "grav_const": "2"}
5
charge,conductivity,mass,planck,velocity
m·v·q·σ·h
constants,em,mechanics
m·v·q²·σ⁻¹·h⁻²
m = k₀ · v⁻¹·q⁻²·σ·h²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "1", "charge": "2", "conductivity": "-1", "planck": "-2"}
6
amount,charge,concentration,mass,resistivity,velocity
m·v·q·ρ_e·n·c_n
chemistry,em,mechanics
m³·v³·q⁻⁶·ρ_e⁻³·n²·c_n⁻²
n = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·q³·ρ_e³ᐟ²·c_n
null
0
3
6
19
16.8
-7.8
false
{"mass": "3", "velocity": "3", "charge": "-6", "resistivity": "-3", "amount": "2", "concentration": "-2"}
6
amount,cat_activity,charge,mass,resistivity,velocity
m·v·q·ρ_e·n·z
chemistry,em,mechanics
m·v³·q⁻²·ρ_e⁻¹·n²·z⁻²
m = k₀ · v⁻³·q²·ρ_e·n⁻²·z²
null
0
3
3
11
9.7
-0.7
false
{"mass": "1", "velocity": "3", "charge": "-2", "resistivity": "-1", "amount": "2", "cat_activity": "-2"}
6
charge,concentration,mass,molar_mass,resistivity,velocity
m·v·q·ρ_e·M_m·c_n
chemistry,em,mechanics
m⁵·v³·q⁻⁶·ρ_e⁻³·M_m⁻²·c_n⁻²
M_m = k₀ · m⁵ᐟ²·v³ᐟ²·q⁻³·ρ_e⁻³ᐟ²·c_n⁻¹
null
0
3
6
21
18.2
-9.2
false
{"mass": "5", "velocity": "3", "charge": "-6", "resistivity": "-3", "molar_mass": "-2", "concentration": "-2"}
6
cat_activity,charge,mass,molar_mass,resistivity,velocity
m·v·q·ρ_e·M_m·z
chemistry,em,mechanics
m³·v³·q⁻²·ρ_e⁻¹·M_m⁻²·z⁻²
ρ_e = k₀ · m³·v³·q⁻²·M_m⁻²·z⁻²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "velocity": "3", "charge": "-2", "resistivity": "-1", "molar_mass": "-2", "cat_activity": "-2"}
6
charge,concentration,mass,molar_energy,resistivity,velocity
m·v·q·ρ_e·c_n·E_m
chemistry,em,mechanics
m⁵·v⁷·q⁻⁶·ρ_e⁻³·c_n⁻²·E_m⁻²
c_n = k₀ · m⁵ᐟ²·v⁷ᐟ²·q⁻³·ρ_e⁻³ᐟ²·E_m⁻¹
null
0
3
7
25
21.5
-12.5
false
{"mass": "5", "velocity": "7", "charge": "-6", "resistivity": "-3", "concentration": "-2", "molar_energy": "-2"}
7
boltzmann,charge,concentration,gas_constant,mass,resistivity,velocity
m·v·q·ρ_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v³·q⁻⁶·ρ_e⁻³·c_n⁻²·R⁻²·k_B²
c_n = k₀ · m³ᐟ²·v³ᐟ²·q⁻³·ρ_e⁻³ᐟ²·R⁻¹·k_B
null
1
4
6
21
19.1
-10.6
false
{"mass": "3", "velocity": "3", "charge": "-6", "resistivity": "-3", "concentration": "-2", "gas_constant": "-2", "boltzmann": "2"}
6
avogadro,charge,concentration,mass,resistivity,velocity
m·v·q·ρ_e·c_n·N_A
chemistry,constants,em,mechanics
m³·v³·q⁻⁶·ρ_e⁻³·c_n⁻²·N_A⁻²
c_n = k₀ · m³ᐟ²·v³ᐟ²·q⁻³·ρ_e⁻³ᐟ²·N_A⁻¹
null
1
4
6
19
17.4
-8.9
false
{"mass": "3", "velocity": "3", "charge": "-6", "resistivity": "-3", "concentration": "-2", "avogadro": "-2"}
6
cat_activity,charge,mass,molar_energy,resistivity,velocity
m·v·q·ρ_e·E_m·z
chemistry,em,mechanics
m³·v⁷·q⁻²·ρ_e⁻¹·E_m⁻²·z⁻²
ρ_e = k₀ · m³·v⁷·q⁻²·E_m⁻²·z⁻²
null
0
3
7
17
15.9
-6.9
false
{"mass": "3", "velocity": "7", "charge": "-2", "resistivity": "-1", "molar_energy": "-2", "cat_activity": "-2"}
7
boltzmann,cat_activity,charge,gas_constant,mass,resistivity,velocity
m·v·q·ρ_e·R·z·k_B
chemistry,constants,em,mechanics
m·v³·q⁻²·ρ_e⁻¹·R⁻²·z⁻²·k_B²
m = k₀ · v⁻³·q²·ρ_e·R²·z²·k_B⁻²
null
1
4
3
13
12
-3.5
false
{"mass": "1", "velocity": "3", "charge": "-2", "resistivity": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
6
avogadro,cat_activity,charge,mass,resistivity,velocity
m·v·q·ρ_e·z·N_A
chemistry,constants,em,mechanics
m·v³·q⁻²·ρ_e⁻¹·z⁻²·N_A⁻²
m = k₀ · v⁻³·q²·ρ_e·z²·N_A²
null
1
4
3
11
10.3
-1.8
false
{"mass": "1", "velocity": "3", "charge": "-2", "resistivity": "-1", "cat_activity": "-2", "avogadro": "-2"}
6
charge,illuminance,lum_intensity,mass,resistivity,velocity
m·v·q·ρ_e·I_v·E_v
em,mechanics,photometry
m·v·q⁻²·ρ_e⁻¹·I_v·E_v⁻¹
m = k₀ · v⁻¹·q²·ρ_e·I_v⁻¹·E_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "charge": "-2", "resistivity": "-1", "lum_intensity": "1", "illuminance": "-1"}
6
charge,lum_intensity,luminance,mass,resistivity,velocity
m·v·q·ρ_e·I_v·L_v
em,mechanics,photometry
m·v·q⁻²·ρ_e⁻¹·I_v·L_v⁻¹
m = k₀ · v⁻¹·q²·ρ_e·I_v⁻¹·L_v
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "charge": "-2", "resistivity": "-1", "lum_intensity": "1", "luminance": "-1"}
5
charge,grav_const,mass,resistivity,velocity
m·v·q·ρ_e·G
constants,em,mechanics
m³·v⁻³·q⁻²·ρ_e⁻¹·G²
ρ_e = k₀ · m³·v⁻³·q⁻²·G²
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "velocity": "-3", "charge": "-2", "resistivity": "-1", "grav_const": "2"}
5
charge,mass,planck,resistivity,velocity
m·v·q·ρ_e·h
constants,em,mechanics
m·v·q²·ρ_e·h⁻²
m = k₀ · v⁻¹·q⁻²·ρ_e⁻¹·h²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "1", "charge": "2", "resistivity": "1", "planck": "-2"}
5
current,efield,mass,velocity,voltage
m·v·i·U·E_f
em,mechanics
m·v³·i⁻¹·U⁻²·E_f
m = k₀ · v⁻³·i·U²·E_f⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "current": "-1", "voltage": "-2", "efield": "1"}
5
bfield,current,mass,velocity,voltage
m·v·i·U·B
em,mechanics
m·v⁴·i⁻¹·U⁻²·B
m = k₀ · v⁻⁴·i·U²·B⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "current": "-1", "voltage": "-2", "bfield": "1"}
6
amount,concentration,current,mass,velocity,voltage
m·v·i·U·n·c_n
chemistry,em,mechanics
m³·v⁹·i⁻³·U⁻³·n⁻¹·c_n
n = k₀ · m³·v⁹·i⁻³·U⁻³·c_n
null
0
3
9
20
19
-10
false
{"mass": "3", "velocity": "9", "current": "-3", "voltage": "-3", "amount": "-1", "concentration": "1"}
6
amount,cat_activity,current,mass,velocity,voltage
m·v·i·U·n·z
chemistry,em,mechanics
m·v²·i⁻¹·U⁻¹·n⁻¹·z
m = k₀ · v⁻²·i·U·n·z⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "current": "-1", "voltage": "-1", "amount": "-1", "cat_activity": "1"}
6
concentration,current,mass,molar_mass,velocity,voltage
m·v·i·U·M_m·c_n
chemistry,em,mechanics
m²·v⁹·i⁻³·U⁻³·M_m·c_n
M_m = k₀ · m⁻²·v⁻⁹·i³·U³·c_n⁻¹
null
0
3
9
19
18.3
-9.3
false
{"mass": "2", "velocity": "9", "current": "-3", "voltage": "-3", "molar_mass": "1", "concentration": "1"}
6
concentration,current,mass,molar_energy,velocity,voltage
m·v·i·U·c_n·E_m
chemistry,em,mechanics
m²·v⁷·i⁻³·U⁻³·c_n·E_m
c_n = k₀ · m⁻²·v⁻⁷·i³·U³·E_m⁻¹
null
0
3
7
17
15.9
-6.9
false
{"mass": "2", "velocity": "7", "current": "-3", "voltage": "-3", "concentration": "1", "molar_energy": "1"}
7
boltzmann,concentration,current,gas_constant,mass,velocity,voltage
m·v·i·U·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁹·i⁻³·U⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻⁹·i³·U³·R⁻¹·k_B
null
1
4
9
21
20.6
-12.1
false
{"mass": "3", "velocity": "9", "current": "-3", "voltage": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,current,mass,velocity,voltage
m·v·i·U·c_n·z
chemistry,em,mechanics
m²·v⁷·i⁻²·U⁻²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻⁷·i²·U²·z
null
0
3
7
15
14.5
-5.5
false
{"mass": "2", "velocity": "7", "current": "-2", "voltage": "-2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,current,mass,velocity,voltage
m·v·i·U·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁹·i⁻³·U⁻³·c_n·N_A
c_n = k₀ · m⁻³·v⁻⁹·i³·U³·N_A⁻¹
null
1
4
9
20
19.6
-11.1
false
{"mass": "3", "velocity": "9", "current": "-3", "voltage": "-3", "concentration": "1", "avogadro": "1"}
7
boltzmann,cat_activity,current,gas_constant,mass,velocity,voltage
m·v·i·U·R·z·k_B
chemistry,constants,em,mechanics
m·v²·i⁻¹·U⁻¹·R·z·k_B⁻¹
m = k₀ · v⁻²·i·U·R⁻¹·z⁻¹·k_B
null
1
4
2
8
8
0.5
false
{"mass": "1", "velocity": "2", "current": "-1", "voltage": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
6
avogadro,cat_activity,current,mass,velocity,voltage
m·v·i·U·z·N_A
chemistry,constants,em,mechanics
m·v²·i⁻¹·U⁻¹·z·N_A
m = k₀ · v⁻²·i·U·z⁻¹·N_A⁻¹
null
1
4
2
7
7
1.5
false
{"mass": "1", "velocity": "2", "current": "-1", "voltage": "-1", "cat_activity": "1", "avogadro": "1"}
6
current,illuminance,lum_intensity,mass,velocity,voltage
m·v·i·U·I_v·E_v
em,mechanics,photometry
m²·v⁶·i⁻²·U⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁶·i⁻²·U⁻²·E_v
null
0
3
6
14
13.3
-4.3
false
{"mass": "2", "velocity": "6", "current": "-2", "voltage": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
current,lum_intensity,luminance,mass,velocity,voltage
m·v·i·U·I_v·L_v
em,mechanics,photometry
m²·v⁶·i⁻²·U⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁶·i⁻²·U⁻²·L_v
null
0
3
6
14
13.3
-4.3
false
{"mass": "2", "velocity": "6", "current": "-2", "voltage": "-2", "lum_intensity": "-1", "luminance": "1"}
5
current,mass,planck,velocity,voltage
m·v·i·U·h
constants,em,mechanics
m²·v⁴·i⁻¹·U⁻¹·h⁻¹
i = k₀ · m²·v⁴·U⁻¹·h⁻¹
null
1
3
4
9
8.5
0.5
false
{"mass": "2", "velocity": "4", "current": "-1", "voltage": "-1", "planck": "-1"}
5
capacitance,current,mass,resistance,velocity
m·v·i·R·C_e
em,mechanics
m·v²·i⁻²·R⁻²·C_e⁻¹
m = k₀ · v⁻²·i²·R²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "current": "-2", "resistance": "-2", "capacitance": "-1"}
5
current,efield,mass,resistance,velocity
m·v·i·R·E_f
em,mechanics
m·v³·i⁻³·R⁻²·E_f
m = k₀ · v⁻³·i³·R²·E_f⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "3", "current": "-3", "resistance": "-2", "efield": "1"}
5
bfield,current,mass,resistance,velocity
m·v·i·R·B
em,mechanics
m·v⁴·i⁻³·R⁻²·B
m = k₀ · v⁻⁴·i³·R²·B⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "4", "current": "-3", "resistance": "-2", "bfield": "1"}
6
amount,concentration,current,mass,resistance,velocity
m·v·i·R·n·c_n
chemistry,em,mechanics
m³·v⁹·i⁻⁶·R⁻³·n⁻¹·c_n
n = k₀ · m³·v⁹·i⁻⁶·R⁻³·c_n
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "velocity": "9", "current": "-6", "resistance": "-3", "amount": "-1", "concentration": "1"}
6
amount,cat_activity,current,mass,resistance,velocity
m·v·i·R·n·z
chemistry,em,mechanics
m·v²·i⁻²·R⁻¹·n⁻¹·z
m = k₀ · v⁻²·i²·R·n·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "velocity": "2", "current": "-2", "resistance": "-1", "amount": "-1", "cat_activity": "1"}
6
concentration,current,mass,molar_mass,resistance,velocity
m·v·i·R·M_m·c_n
chemistry,em,mechanics
m²·v⁹·i⁻⁶·R⁻³·M_m·c_n
M_m = k₀ · m⁻²·v⁻⁹·i⁶·R³·c_n⁻¹
null
0
3
9
22
20.4
-11.4
false
{"mass": "2", "velocity": "9", "current": "-6", "resistance": "-3", "molar_mass": "1", "concentration": "1"}
6
concentration,current,mass,molar_energy,resistance,velocity
m·v·i·R·c_n·E_m
chemistry,em,mechanics
m²·v⁷·i⁻⁶·R⁻³·c_n·E_m
c_n = k₀ · m⁻²·v⁻⁷·i⁶·R³·E_m⁻¹
null
0
3
7
20
18
-9
false
{"mass": "2", "velocity": "7", "current": "-6", "resistance": "-3", "concentration": "1", "molar_energy": "1"}
7
boltzmann,concentration,current,gas_constant,mass,resistance,velocity
m·v·i·R·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v⁹·i⁻⁶·R⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·v⁻⁹·i⁶·R³·R⁻¹·k_B
null
1
4
9
24
22.7
-14.2
false
{"mass": "3", "velocity": "9", "current": "-6", "resistance": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
6
cat_activity,concentration,current,mass,resistance,velocity
m·v·i·R·c_n·z
chemistry,em,mechanics
m²·v⁷·i⁻⁴·R⁻²·c_n·z⁻¹
c_n = k₀ · m⁻²·v⁻⁷·i⁴·R²·z
null
0
3
7
17
15.9
-6.9
false
{"mass": "2", "velocity": "7", "current": "-4", "resistance": "-2", "concentration": "1", "cat_activity": "-1"}
6
avogadro,concentration,current,mass,resistance,velocity
m·v·i·R·c_n·N_A
chemistry,constants,em,mechanics
m³·v⁹·i⁻⁶·R⁻³·c_n·N_A
c_n = k₀ · m⁻³·v⁻⁹·i⁶·R³·N_A⁻¹
null
1
4
9
23
21.7
-13.2
false
{"mass": "3", "velocity": "9", "current": "-6", "resistance": "-3", "concentration": "1", "avogadro": "1"}
7
boltzmann,cat_activity,current,gas_constant,mass,resistance,velocity
m·v·i·R·R·z·k_B
chemistry,constants,em,mechanics
m·v²·i⁻²·R⁻¹·R·z·k_B⁻¹
m = k₀ · v⁻²·i²·R·R⁻¹·z⁻¹·k_B
null
1
4
2
9
8.7
-0.2
false
{"mass": "1", "velocity": "2", "current": "-2", "resistance": "-1", "gas_constant": "1", "cat_activity": "1", "boltzmann": "-1"}
6
avogadro,cat_activity,current,mass,resistance,velocity
m·v·i·R·z·N_A
chemistry,constants,em,mechanics
m·v²·i⁻²·R⁻¹·z·N_A
m = k₀ · v⁻²·i²·R·z⁻¹·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "velocity": "2", "current": "-2", "resistance": "-1", "cat_activity": "1", "avogadro": "1"}
6
current,illuminance,lum_intensity,mass,resistance,velocity
m·v·i·R·I_v·E_v
em,mechanics,photometry
m²·v⁶·i⁻⁴·R⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·v⁶·i⁻⁴·R⁻²·E_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "velocity": "6", "current": "-4", "resistance": "-2", "lum_intensity": "-1", "illuminance": "1"}
6
current,lum_intensity,luminance,mass,resistance,velocity
m·v·i·R·I_v·L_v
em,mechanics,photometry
m²·v⁶·i⁻⁴·R⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·v⁶·i⁻⁴·R⁻²·L_v
null
0
3
6
16
14.7
-5.7
false
{"mass": "2", "velocity": "6", "current": "-4", "resistance": "-2", "lum_intensity": "-1", "luminance": "1"}
5
current,mass,planck,resistance,velocity
m·v·i·R·h
constants,em,mechanics
m²·v⁴·i⁻²·R⁻¹·h⁻¹
R = k₀ · m²·v⁴·i⁻²·h⁻¹
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "4", "current": "-2", "resistance": "-1", "planck": "-1"}
5
current,elem_charge,mass,resistance,velocity
m·v·i·R·e
constants,em,mechanics
m·v²·i⁻¹·R⁻¹·e⁻¹
m = k₀ · v⁻²·i·R·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "current": "-1", "resistance": "-1", "elem_charge": "-1"}
5
capacitance,current,mass,permittivity,velocity
m·v·i·C_e·ε
em,mechanics
m·v⁴·i⁻²·C_e⁻¹·ε²
m = k₀ · v⁻⁴·i²·C_e·ε⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "current": "-2", "capacitance": "-1", "permittivity": "2"}
6
amount,capacitance,concentration,current,mass,velocity
m·v·i·C_e·n·c_n
chemistry,em,mechanics
m³·v¹²·i⁻⁶·C_e³·n⁻²·c_n²
n = k₀ · m³ᐟ²·v⁶·i⁻³·C_e³ᐟ²·c_n
null
0
3
12
28
26.1
-17.1
false
{"mass": "3", "velocity": "12", "current": "-6", "capacitance": "3", "amount": "-2", "concentration": "2"}
6
amount,capacitance,cat_activity,current,mass,velocity
m·v·i·C_e·n·z
chemistry,em,mechanics
m·v²·i⁻²·C_e·n⁻²·z²
m = k₀ · v⁻²·i²·C_e⁻¹·n²·z⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "current": "-2", "capacitance": "1", "amount": "-2", "cat_activity": "2"}
6
capacitance,concentration,current,mass,molar_mass,velocity
m·v·i·C_e·M_m·c_n
chemistry,em,mechanics
m·v¹²·i⁻⁶·C_e³·M_m²·c_n²
m = k₀ · v⁻¹²·i⁶·C_e⁻³·M_m⁻²·c_n⁻²
null
0
3
12
26
24.7
-15.7
false
{"mass": "1", "velocity": "12", "current": "-6", "capacitance": "3", "molar_mass": "2", "concentration": "2"}
6
capacitance,cat_activity,current,mass,molar_mass,velocity
m·v·i·C_e·M_m·z
chemistry,em,mechanics
m·v⁻²·i²·C_e⁻¹·M_m⁻²·z⁻²
m = k₀ · v²·i⁻²·C_e·M_m²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "-2", "current": "2", "capacitance": "-1", "molar_mass": "-2", "cat_activity": "-2"}
6
capacitance,concentration,current,mass,molar_energy,velocity
m·v·i·C_e·c_n·E_m
chemistry,em,mechanics
m·v⁸·i⁻⁶·C_e³·c_n²·E_m²
m = k₀ · v⁻⁸·i⁶·C_e⁻³·c_n⁻²·E_m⁻²
null
0
3
8
22
19.9
-10.9
false
{"mass": "1", "velocity": "8", "current": "-6", "capacitance": "3", "concentration": "2", "molar_energy": "2"}
7
boltzmann,capacitance,concentration,current,gas_constant,mass,velocity
m·v·i·C_e·c_n·R·k_B
chemistry,constants,em,mechanics
m³·v¹²·i⁻⁶·C_e³·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻⁶·i³·C_e⁻³ᐟ²·R⁻¹·k_B
null
1
4
12
30
28.4
-19.9
false
{"mass": "3", "velocity": "12", "current": "-6", "capacitance": "3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
6
capacitance,cat_activity,concentration,current,mass,velocity
m·v·i·C_e·c_n·z
chemistry,em,mechanics
m·v⁵·i⁻²·C_e·c_n·z⁻¹
m = k₀ · v⁻⁵·i²·C_e⁻¹·c_n⁻¹·z
null
0
3
5
11
10.7
-1.7
false
{"mass": "1", "velocity": "5", "current": "-2", "capacitance": "1", "concentration": "1", "cat_activity": "-1"}
6
avogadro,capacitance,concentration,current,mass,velocity
m·v·i·C_e·c_n·N_A
chemistry,constants,em,mechanics
m³·v¹²·i⁻⁶·C_e³·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻⁶·i³·C_e⁻³ᐟ²·N_A⁻¹
null
1
4
12
28
26.7
-18.2
false
{"mass": "3", "velocity": "12", "current": "-6", "capacitance": "3", "concentration": "2", "avogadro": "2"}