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
5
inductance,mass,permeability,stiffness,velocity
m·v·k·L_e·μ₀
em,mechanics
m·v²·k⁻¹·L_e⁻²·μ₀²
m = k₀ · v⁻²·k·L_e²·μ₀⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "inductance": "-2", "permeability": "2"}
5
elem_charge,inductance,mass,stiffness,velocity
m·v·k·L_e·e
constants,em,mechanics
m²·v²·k⁻¹·L_e⁻¹·e⁻²
k = k₀ · m²·v²·L_e⁻¹·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "velocity": "2", "stiffness": "-1", "inductance": "-1", "elem_charge": "-2"}
5
efield,mag_flux,mass,stiffness,velocity
m·v·k·E_f·Φ
em,mechanics
m·v·k⁻¹·E_f·Φ⁻¹
m = k₀ · v⁻¹·k·E_f⁻¹·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "stiffness": "-1", "efield": "1", "mag_flux": "-1"}
5
efield,mass,permittivity,stiffness,velocity
m·v·k·E_f·ε
em,mechanics
m·v²·k⁻³·E_f⁴·ε²
m = k₀ · v⁻²·k³·E_f⁻⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "2", "stiffness": "-3", "efield": "4", "permittivity": "2"}
5
efield,mass,permeability,stiffness,velocity
m·v·k·E_f·μ₀
em,mechanics
m·v⁻²·k⁻³·E_f⁴·μ₀⁻²
m = k₀ · v²·k³·E_f⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-2", "stiffness": "-3", "efield": "4", "permeability": "-2"}
5
conductivity,efield,mass,stiffness,velocity
m·v·k·E_f·σ
em,mechanics
m·v·k⁻²·E_f²·σ
m = k₀ · v⁻¹·k²·E_f⁻²·σ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "stiffness": "-2", "efield": "2", "conductivity": "1"}
5
efield,mass,resistivity,stiffness,velocity
m·v·k·E_f·ρ_e
em,mechanics
m·v·k⁻²·E_f²·ρ_e⁻¹
m = k₀ · v⁻¹·k²·E_f⁻²·ρ_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "stiffness": "-2", "efield": "2", "resistivity": "-1"}
5
efield,elem_charge,mass,stiffness,velocity
m·v·k·E_f·e
constants,em,mechanics
m·v²·k·E_f⁻²·e⁻²
m = k₀ · v⁻²·k⁻¹·E_f²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "stiffness": "1", "efield": "-2", "elem_charge": "-2"}
5
bfield,mag_flux,mass,stiffness,velocity
m·v·k·B·Φ
em,mechanics
m·v²·k⁻¹·B·Φ⁻¹
m = k₀ · v⁻²·k·B⁻¹·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "bfield": "1", "mag_flux": "-1"}
5
bfield,mass,permittivity,stiffness,velocity
m·v·k·B·ε
em,mechanics
m·v⁶·k⁻³·B⁴·ε²
m = k₀ · v⁻⁶·k³·B⁻⁴·ε⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "velocity": "6", "stiffness": "-3", "bfield": "4", "permittivity": "2"}
5
bfield,mass,permeability,stiffness,velocity
m·v·k·B·μ₀
em,mechanics
m·v²·k⁻³·B⁴·μ₀⁻²
m = k₀ · v⁻²·k³·B⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "2", "stiffness": "-3", "bfield": "4", "permeability": "-2"}
5
bfield,conductivity,mass,stiffness,velocity
m·v·k·B·σ
em,mechanics
m·v³·k⁻²·B²·σ
m = k₀ · v⁻³·k²·B⁻²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "stiffness": "-2", "bfield": "2", "conductivity": "1"}
5
bfield,mass,resistivity,stiffness,velocity
m·v·k·B·ρ_e
em,mechanics
m·v³·k⁻²·B²·ρ_e⁻¹
m = k₀ · v⁻³·k²·B⁻²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "stiffness": "-2", "bfield": "2", "resistivity": "-1"}
5
mag_flux,mass,permittivity,stiffness,velocity
m·v·k·Φ·ε
em,mechanics
m³·v²·k⁻¹·Φ⁻⁴·ε⁻²
k = k₀ · m³·v²·Φ⁻⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "2", "stiffness": "-1", "mag_flux": "-4", "permittivity": "-2"}
5
mag_flux,mass,permeability,stiffness,velocity
m·v·k·Φ·μ₀
em,mechanics
m³·v⁶·k⁻¹·Φ⁻⁴·μ₀²
k = k₀ · m³·v⁶·Φ⁻⁴·μ₀²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "stiffness": "-1", "mag_flux": "-4", "permeability": "2"}
5
elem_charge,mag_flux,mass,stiffness,velocity
m·v·k·Φ·e
constants,em,mechanics
m³·v⁴·k⁻¹·Φ⁻²·e⁻²
k = k₀ · m³·v⁴·Φ⁻²·e⁻²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "4", "stiffness": "-1", "mag_flux": "-2", "elem_charge": "-2"}
5
elem_charge,mass,permittivity,stiffness,velocity
m·v·k·ε·e
constants,em,mechanics
m³·v⁶·k⁻¹·ε²·e⁻⁴
k = k₀ · m³·v⁶·ε²·e⁻⁴
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "velocity": "6", "stiffness": "-1", "permittivity": "2", "elem_charge": "-4"}
5
conductivity,mass,permeability,stiffness,velocity
m·v·k·μ₀·σ
em,mechanics
m·v⁴·k⁻¹·μ₀²·σ²
m = k₀ · v⁻⁴·k·μ₀⁻²·σ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "stiffness": "-1", "permeability": "2", "conductivity": "2"}
5
mass,permeability,resistivity,stiffness,velocity
m·v·k·μ₀·ρ_e
em,mechanics
m·v⁴·k⁻¹·μ₀²·ρ_e⁻²
m = k₀ · v⁻⁴·k·μ₀⁻²·ρ_e²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "stiffness": "-1", "permeability": "2", "resistivity": "-2"}
5
elem_charge,mass,permeability,stiffness,velocity
m·v·k·μ₀·e
constants,em,mechanics
m³·v²·k⁻¹·μ₀⁻²·e⁻⁴
k = k₀ · m³·v²·μ₀⁻²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "2", "stiffness": "-1", "permeability": "-2", "elem_charge": "-4"}
5
conductivity,elem_charge,mass,stiffness,velocity
m·v·k·σ·e
constants,em,mechanics
m²·v³·k⁻¹·σ·e⁻²
k = k₀ · m²·v³·σ·e⁻²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "stiffness": "-1", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,resistivity,stiffness,velocity
m·v·k·ρ_e·e
constants,em,mechanics
m²·v³·k⁻¹·ρ_e⁻¹·e⁻²
k = k₀ · m²·v³·ρ_e⁻¹·e⁻²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "stiffness": "-1", "resistivity": "-1", "elem_charge": "-2"}
5
amount,concentration,mass,stiffness,velocity
m·v·k·n·c_n
chemistry,mechanics
m³·v⁶·k⁻³·n⁻²·c_n²
n = k₀ · m³ᐟ²·v³·k⁻³ᐟ²·c_n
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "stiffness": "-3", "amount": "-2", "concentration": "2"}
5
concentration,mass,molar_mass,stiffness,velocity
m·v·k·M_m·c_n
chemistry,mechanics
m·v⁶·k⁻³·M_m²·c_n²
m = k₀ · v⁻⁶·k³·M_m⁻²·c_n⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "stiffness": "-3", "molar_mass": "2", "concentration": "2"}
5
concentration,mass,molar_energy,stiffness,velocity
m·v·k·c_n·E_m
chemistry,mechanics
m·v²·k⁻³·c_n²·E_m²
m = k₀ · v⁻²·k³·c_n⁻²·E_m⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "stiffness": "-3", "concentration": "2", "molar_energy": "2"}
6
boltzmann,concentration,gas_constant,mass,stiffness,velocity
m·v·k·c_n·R·k_B
chemistry,constants,mechanics
m³·v⁶·k⁻³·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻³·k³ᐟ²·R⁻¹·k_B
null
1
3
6
18
16.1
-7.1
false
{"mass": "3", "velocity": "6", "stiffness": "-3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
5
cat_activity,concentration,mass,stiffness,velocity
m·v·k·c_n·z
chemistry,mechanics
m·v³·k⁻¹·c_n·z⁻¹
m = k₀ · v⁻³·k·c_n⁻¹·z
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "stiffness": "-1", "concentration": "1", "cat_activity": "-1"}
5
avogadro,concentration,mass,stiffness,velocity
m·v·k·c_n·N_A
chemistry,constants,mechanics
m³·v⁶·k⁻³·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻³·k³ᐟ²·N_A⁻¹
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "velocity": "6", "stiffness": "-3", "concentration": "2", "avogadro": "2"}
5
cat_activity,mass,molar_energy,stiffness,velocity
m·v·k·E_m·z
chemistry,mechanics
m·v⁴·k·E_m⁻²·z⁻²
m = k₀ · v⁻⁴·k⁻¹·E_m²·z²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "stiffness": "1", "molar_energy": "-2", "cat_activity": "-2"}
5
illuminance,lum_intensity,mass,stiffness,velocity
m·v·k·I_v·E_v
mechanics,photometry
m·v²·k⁻¹·I_v⁻¹·E_v
m = k₀ · v⁻²·k·I_v·E_v⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "lum_intensity": "-1", "illuminance": "1"}
5
lum_intensity,luminance,mass,stiffness,velocity
m·v·k·I_v·L_v
mechanics,photometry
m·v²·k⁻¹·I_v⁻¹·L_v
m = k₀ · v⁻²·k·I_v·L_v⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "lum_intensity": "-1", "luminance": "1"}
4
grav_const,mass,stiffness,velocity
m·v·k·G
constants,mechanics
m·v⁻⁶·k·G²
m = k₀ · v⁶·k⁻¹·G⁻²
null
1
2
6
10
9.3
0.2
false
{"mass": "1", "velocity": "-6", "stiffness": "1", "grav_const": "2"}
4
mass,planck,stiffness,velocity
m·v·k·h
constants,mechanics
m³·v⁴·k⁻¹·h⁻²
k = k₀ · m³·v⁴·h⁻²
null
1
2
4
10
8.3
1.2
false
{"mass": "3", "velocity": "4", "stiffness": "-1", "planck": "-2"}
4
area,mass,surf_tension,velocity
m·v·γ·A
mechanics
m·v²·γ⁻¹·A⁻¹
m = k₀ · v⁻²·γ·A
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "area": "-1"}
4
mass,surf_tension,velocity,volume
m·v·γ·V
mechanics
m³·v⁶·γ⁻³·V⁻²
V = k₀ · m³ᐟ²·v³·γ⁻³ᐟ²
null
0
1
6
14
11.5
-1.5
false
{"mass": "3", "velocity": "6", "surf_tension": "-3", "volume": "-2"}
4
flowrate,mass,surf_tension,velocity
m·v·γ·Q
mechanics
m·v³·γ⁻¹·Q⁻¹
m = k₀ · v⁻³·γ·Q
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "3", "surf_tension": "-1", "flowrate": "-1"}
6
concentration,gas_constant,mass,surf_tension,temperature,velocity
m·v·γ·Θ·c_n·R
chemistry,mechanics,thermo
m·v²·γ⁻³·Θ²·c_n²·R²
m = k₀ · v⁻²·γ³·Θ⁻²·c_n⁻²·R⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "2", "surf_tension": "-3", "temperature": "2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,surf_tension,temperature,velocity
m·v·γ·Θ·R·z
chemistry,mechanics,thermo
m·v⁴·γ·Θ⁻²·R⁻²·z⁻²
m = k₀ · v⁻⁴·γ⁻¹·Θ²·R²·z²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "surf_tension": "1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
entropy,mass,surf_tension,thermal_cond,velocity
m·v·γ·S_e·κ
mechanics,thermo
m·v·γ⁻¹·S_e⁻¹·κ
m = k₀ · v⁻¹·γ·S_e·κ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "surf_tension": "-1", "entropy": "-1", "thermal_cond": "1"}
6
concentration,entropy,gas_constant,mass,surf_tension,velocity
m·v·γ·S_e·c_n·R
chemistry,mechanics,thermo
m³·v⁶·γ⁻³·S_e⁻²·c_n²·R²
S_e = k₀ · m³ᐟ²·v³·γ⁻³ᐟ²·c_n·R
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "velocity": "6", "surf_tension": "-3", "entropy": "-2", "concentration": "2", "gas_constant": "2"}
5
heat_capacity,mass,surf_tension,thermal_cond,velocity
m·v·γ·C·κ
mechanics,thermo
m·v·γ⁻¹·C⁻¹·κ
m = k₀ · v⁻¹·γ·C·κ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "surf_tension": "-1", "heat_capacity": "-1", "thermal_cond": "1"}
6
concentration,gas_constant,heat_capacity,mass,surf_tension,velocity
m·v·γ·C·c_n·R
chemistry,mechanics,thermo
m³·v⁶·γ⁻³·C⁻²·c_n²·R²
C = k₀ · m³ᐟ²·v³·γ⁻³ᐟ²·c_n·R
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "velocity": "6", "surf_tension": "-3", "heat_capacity": "-2", "concentration": "2", "gas_constant": "2"}
6
concentration,gas_constant,mass,specific_heat,surf_tension,velocity
m·v·γ·c·c_n·R
chemistry,mechanics,thermo
m·v⁶·γ⁻³·c⁻²·c_n²·R²
m = k₀ · v⁻⁶·γ³·c²·c_n⁻²·R⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "velocity": "6", "surf_tension": "-3", "specific_heat": "-2", "concentration": "2", "gas_constant": "2"}
6
amount,gas_constant,mass,surf_tension,thermal_cond,velocity
m·v·γ·κ·n·R
chemistry,mechanics,thermo
m·v·γ⁻¹·κ·n⁻¹·R⁻¹
m = k₀ · v⁻¹·γ·κ⁻¹·n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "surf_tension": "-1", "thermal_cond": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,gas_constant,mass,surf_tension,thermal_cond,velocity
m·v·γ·κ·c_n·R
chemistry,mechanics,thermo
m·v⁴·γ⁻¹·κ⁻²·c_n²·R²
m = k₀ · v⁻⁴·γ·κ²·c_n⁻²·R⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "surf_tension": "-1", "thermal_cond": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,surf_tension,thermal_cond,velocity
m·v·γ·κ·R·z
chemistry,mechanics,thermo
m·v²·γ⁻¹·κ²·R⁻²·z⁻²
m = k₀ · v⁻²·γ·κ⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "surf_tension": "-1", "thermal_cond": "2", "gas_constant": "-2", "cat_activity": "-2"}
6
avogadro,gas_constant,mass,surf_tension,thermal_cond,velocity
m·v·γ·κ·R·N_A
chemistry,constants,mechanics,thermo
m·v·γ⁻¹·κ·R⁻¹·N_A
m = k₀ · v⁻¹·γ·κ⁻¹·R·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "velocity": "1", "surf_tension": "-1", "thermal_cond": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,mass,surf_tension,thermal_cond,velocity
m·v·γ·κ·k_B
constants,mechanics,thermo
m·v·γ⁻¹·κ·k_B⁻¹
m = k₀ · v⁻¹·γ·κ⁻¹·k_B
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "surf_tension": "-1", "thermal_cond": "1", "boltzmann": "-1"}
4
mass,surf_tension,thermal_diff,velocity
m·v·γ·α
mechanics,thermo
m·v⁴·γ⁻¹·α⁻²
m = k₀ · v⁻⁴·γ·α²
null
0
2
4
8
6.9
2.6
false
{"mass": "1", "velocity": "4", "surf_tension": "-1", "thermal_diff": "-2"}
6
concentration,expansion,gas_constant,mass,surf_tension,velocity
m·v·γ·β·c_n·R
chemistry,mechanics,thermo
m·v²·γ⁻³·β⁻²·c_n²·R²
m = k₀ · v⁻²·γ³·β²·c_n⁻²·R⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "2", "surf_tension": "-3", "expansion": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,expansion,gas_constant,mass,surf_tension,velocity
m·v·γ·β·R·z
chemistry,mechanics,thermo
m·v⁴·γ·β²·R⁻²·z⁻²
m = k₀ · v⁻⁴·γ⁻¹·β⁻²·R²·z²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "surf_tension": "1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
charge,mass,resistance,surf_tension,velocity
m·v·γ·q·R
em,mechanics
m³·v⁴·γ⁻¹·q⁻⁴·R⁻²
γ = k₀ · m³·v⁴·q⁻⁴·R⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "surf_tension": "-1", "charge": "-4", "resistance": "-2"}
5
charge,inductance,mass,surf_tension,velocity
m·v·γ·q·L_e
em,mechanics
m²·v²·γ⁻¹·q⁻²·L_e⁻¹
γ = k₀ · m²·v²·q⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "surf_tension": "-1", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,surf_tension,velocity
m·v·γ·q·E_f
em,mechanics
m·v²·γ·q⁻²·E_f⁻²
m = k₀ · v⁻²·γ⁻¹·q²·E_f²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "1", "charge": "-2", "efield": "-2"}
5
charge,mag_flux,mass,surf_tension,velocity
m·v·γ·q·Φ
em,mechanics
m³·v⁴·γ⁻¹·q⁻²·Φ⁻²
γ = k₀ · m³·v⁴·q⁻²·Φ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "4", "surf_tension": "-1", "charge": "-2", "mag_flux": "-2"}
5
charge,mass,permittivity,surf_tension,velocity
m·v·γ·q·ε
em,mechanics
m³·v⁶·γ⁻¹·q⁻⁴·ε²
γ = k₀ · m³·v⁶·q⁻⁴·ε²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "surf_tension": "-1", "charge": "-4", "permittivity": "2"}
5
charge,mass,permeability,surf_tension,velocity
m·v·γ·q·μ₀
em,mechanics
m³·v²·γ⁻¹·q⁻⁴·μ₀⁻²
γ = k₀ · m³·v²·q⁻⁴·μ₀⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "2", "surf_tension": "-1", "charge": "-4", "permeability": "-2"}
5
charge,conductivity,mass,surf_tension,velocity
m·v·γ·q·σ
em,mechanics
m²·v³·γ⁻¹·q⁻²·σ
γ = k₀ · m²·v³·q⁻²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "surf_tension": "-1", "charge": "-2", "conductivity": "1"}
5
charge,mass,resistivity,surf_tension,velocity
m·v·γ·q·ρ_e
em,mechanics
m²·v³·γ⁻¹·q⁻²·ρ_e⁻¹
γ = k₀ · m²·v³·q⁻²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "surf_tension": "-1", "charge": "-2", "resistivity": "-1"}
5
current,mass,surf_tension,velocity,voltage
m·v·γ·i·U
em,mechanics
m·v⁴·γ·i⁻²·U⁻²
m = k₀ · v⁻⁴·γ⁻¹·i²·U²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "surf_tension": "1", "current": "-2", "voltage": "-2"}
5
current,mass,resistance,surf_tension,velocity
m·v·γ·i·R
em,mechanics
m·v⁴·γ·i⁻⁴·R⁻²
m = k₀ · v⁻⁴·γ⁻¹·i⁴·R²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "4", "surf_tension": "1", "current": "-4", "resistance": "-2"}
5
current,mass,permittivity,surf_tension,velocity
m·v·γ·i·ε
em,mechanics
m·v⁶·γ·i⁻⁴·ε²
m = k₀ · v⁻⁶·γ⁻¹·i⁴·ε⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "surf_tension": "1", "current": "-4", "permittivity": "2"}
5
current,mass,permeability,surf_tension,velocity
m·v·γ·i·μ₀
em,mechanics
m·v²·γ·i⁻⁴·μ₀⁻²
m = k₀ · v⁻²·γ⁻¹·i⁴·μ₀²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "2", "surf_tension": "1", "current": "-4", "permeability": "-2"}
5
mass,resistance,surf_tension,velocity,voltage
m·v·γ·U·R
em,mechanics
m·v⁴·γ·U⁻⁴·R²
m = k₀ · v⁻⁴·γ⁻¹·U⁴·R⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "4", "surf_tension": "1", "voltage": "-4", "resistance": "2"}
5
efield,mass,surf_tension,velocity,voltage
m·v·γ·U·E_f
em,mechanics
m·v²·γ⁻¹·U⁻²·E_f²
m = k₀ · v⁻²·γ·U²·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "voltage": "-2", "efield": "2"}
5
bfield,mass,surf_tension,velocity,voltage
m·v·γ·U·B
em,mechanics
m·v⁴·γ⁻¹·U⁻²·B²
m = k₀ · v⁻⁴·γ·U²·B⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "surf_tension": "-1", "voltage": "-2", "bfield": "2"}
5
mass,permittivity,surf_tension,velocity,voltage
m·v·γ·U·ε
em,mechanics
m·v²·γ·U⁻⁴·ε⁻²
m = k₀ · v⁻²·γ⁻¹·U⁴·ε²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "2", "surf_tension": "1", "voltage": "-4", "permittivity": "-2"}
5
mass,permeability,surf_tension,velocity,voltage
m·v·γ·U·μ₀
em,mechanics
m·v⁶·γ·U⁻⁴·μ₀²
m = k₀ · v⁻⁶·γ⁻¹·U⁴·μ₀⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "surf_tension": "1", "voltage": "-4", "permeability": "2"}
5
bfield,mass,resistance,surf_tension,velocity
m·v·γ·R·B
em,mechanics
m·v⁴·γ⁻³·R⁻²·B⁴
m = k₀ · v⁻⁴·γ³·R²·B⁻⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "velocity": "4", "surf_tension": "-3", "resistance": "-2", "bfield": "4"}
5
mag_flux,mass,resistance,surf_tension,velocity
m·v·γ·R·Φ
em,mechanics
m³·v⁴·γ⁻¹·R²·Φ⁻⁴
γ = k₀ · m³·v⁴·R²·Φ⁻⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "surf_tension": "-1", "resistance": "2", "mag_flux": "-4"}
5
conductivity,mass,resistance,surf_tension,velocity
m·v·γ·R·σ
em,mechanics
m·v²·γ⁻¹·R²·σ²
m = k₀ · v⁻²·γ·R⁻²·σ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "resistance": "2", "conductivity": "2"}
5
mass,resistance,resistivity,surf_tension,velocity
m·v·γ·R·ρ_e
em,mechanics
m·v²·γ⁻¹·R²·ρ_e⁻²
m = k₀ · v⁻²·γ·R⁻²·ρ_e²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "resistance": "2", "resistivity": "-2"}
5
elem_charge,mass,resistance,surf_tension,velocity
m·v·γ·R·e
constants,em,mechanics
m³·v⁴·γ⁻¹·R⁻²·e⁻⁴
γ = k₀ · m³·v⁴·R⁻²·e⁻⁴
null
1
3
4
14
12
-3
false
{"mass": "3", "velocity": "4", "surf_tension": "-1", "resistance": "-2", "elem_charge": "-4"}
5
capacitance,mag_flux,mass,surf_tension,velocity
m·v·γ·C_e·Φ
em,mechanics
m²·v²·γ⁻¹·C_e⁻¹·Φ⁻²
γ = k₀ · m²·v²·C_e⁻¹·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "surf_tension": "-1", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,mass,permittivity,surf_tension,velocity
m·v·γ·C_e·ε
em,mechanics
m·v²·γ⁻¹·C_e⁻²·ε²
m = k₀ · v⁻²·γ·C_e²·ε⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "capacitance": "-2", "permittivity": "2"}
5
capacitance,mass,permeability,surf_tension,velocity
m·v·γ·C_e·μ₀
em,mechanics
m·v⁻²·γ⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · v²·γ·C_e²·μ₀²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "surf_tension": "-1", "capacitance": "-2", "permeability": "-2"}
5
capacitance,conductivity,mass,surf_tension,velocity
m·v·γ·C_e·σ
em,mechanics
m·v·γ⁻¹·C_e⁻¹·σ
m = k₀ · v⁻¹·γ·C_e·σ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "surf_tension": "-1", "capacitance": "-1", "conductivity": "1"}
5
capacitance,mass,resistivity,surf_tension,velocity
m·v·γ·C_e·ρ_e
em,mechanics
m·v·γ⁻¹·C_e⁻¹·ρ_e⁻¹
m = k₀ · v⁻¹·γ·C_e·ρ_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "surf_tension": "-1", "capacitance": "-1", "resistivity": "-1"}
5
bfield,inductance,mass,surf_tension,velocity
m·v·γ·L_e·B
em,mechanics
m·v²·γ⁻²·L_e⁻¹·B²
m = k₀ · v⁻²·γ²·L_e·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "-2", "inductance": "-1", "bfield": "2"}
5
inductance,mass,permittivity,surf_tension,velocity
m·v·γ·L_e·ε
em,mechanics
m·v⁻²·γ⁻¹·L_e⁻²·ε⁻²
m = k₀ · v²·γ·L_e²·ε²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "surf_tension": "-1", "inductance": "-2", "permittivity": "-2"}
5
inductance,mass,permeability,surf_tension,velocity
m·v·γ·L_e·μ₀
em,mechanics
m·v²·γ⁻¹·L_e⁻²·μ₀²
m = k₀ · v⁻²·γ·L_e²·μ₀⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "inductance": "-2", "permeability": "2"}
5
elem_charge,inductance,mass,surf_tension,velocity
m·v·γ·L_e·e
constants,em,mechanics
m²·v²·γ⁻¹·L_e⁻¹·e⁻²
γ = k₀ · m²·v²·L_e⁻¹·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "velocity": "2", "surf_tension": "-1", "inductance": "-1", "elem_charge": "-2"}
5
efield,mag_flux,mass,surf_tension,velocity
m·v·γ·E_f·Φ
em,mechanics
m·v·γ⁻¹·E_f·Φ⁻¹
m = k₀ · v⁻¹·γ·E_f⁻¹·Φ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "surf_tension": "-1", "efield": "1", "mag_flux": "-1"}
5
efield,mass,permittivity,surf_tension,velocity
m·v·γ·E_f·ε
em,mechanics
m·v²·γ⁻³·E_f⁴·ε²
m = k₀ · v⁻²·γ³·E_f⁻⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "2", "surf_tension": "-3", "efield": "4", "permittivity": "2"}
5
efield,mass,permeability,surf_tension,velocity
m·v·γ·E_f·μ₀
em,mechanics
m·v⁻²·γ⁻³·E_f⁴·μ₀⁻²
m = k₀ · v²·γ³·E_f⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-2", "surf_tension": "-3", "efield": "4", "permeability": "-2"}
5
conductivity,efield,mass,surf_tension,velocity
m·v·γ·E_f·σ
em,mechanics
m·v·γ⁻²·E_f²·σ
m = k₀ · v⁻¹·γ²·E_f⁻²·σ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "surf_tension": "-2", "efield": "2", "conductivity": "1"}
5
efield,mass,resistivity,surf_tension,velocity
m·v·γ·E_f·ρ_e
em,mechanics
m·v·γ⁻²·E_f²·ρ_e⁻¹
m = k₀ · v⁻¹·γ²·E_f⁻²·ρ_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "surf_tension": "-2", "efield": "2", "resistivity": "-1"}
5
efield,elem_charge,mass,surf_tension,velocity
m·v·γ·E_f·e
constants,em,mechanics
m·v²·γ·E_f⁻²·e⁻²
m = k₀ · v⁻²·γ⁻¹·E_f²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "surf_tension": "1", "efield": "-2", "elem_charge": "-2"}
5
bfield,mag_flux,mass,surf_tension,velocity
m·v·γ·B·Φ
em,mechanics
m·v²·γ⁻¹·B·Φ⁻¹
m = k₀ · v⁻²·γ·B⁻¹·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "bfield": "1", "mag_flux": "-1"}
5
bfield,mass,permittivity,surf_tension,velocity
m·v·γ·B·ε
em,mechanics
m·v⁶·γ⁻³·B⁴·ε²
m = k₀ · v⁻⁶·γ³·B⁻⁴·ε⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "velocity": "6", "surf_tension": "-3", "bfield": "4", "permittivity": "2"}
5
bfield,mass,permeability,surf_tension,velocity
m·v·γ·B·μ₀
em,mechanics
m·v²·γ⁻³·B⁴·μ₀⁻²
m = k₀ · v⁻²·γ³·B⁻⁴·μ₀²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "2", "surf_tension": "-3", "bfield": "4", "permeability": "-2"}
5
bfield,conductivity,mass,surf_tension,velocity
m·v·γ·B·σ
em,mechanics
m·v³·γ⁻²·B²·σ
m = k₀ · v⁻³·γ²·B⁻²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "surf_tension": "-2", "bfield": "2", "conductivity": "1"}
5
bfield,mass,resistivity,surf_tension,velocity
m·v·γ·B·ρ_e
em,mechanics
m·v³·γ⁻²·B²·ρ_e⁻¹
m = k₀ · v⁻³·γ²·B⁻²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "surf_tension": "-2", "bfield": "2", "resistivity": "-1"}
5
mag_flux,mass,permittivity,surf_tension,velocity
m·v·γ·Φ·ε
em,mechanics
m³·v²·γ⁻¹·Φ⁻⁴·ε⁻²
γ = k₀ · m³·v²·Φ⁻⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "2", "surf_tension": "-1", "mag_flux": "-4", "permittivity": "-2"}
5
mag_flux,mass,permeability,surf_tension,velocity
m·v·γ·Φ·μ₀
em,mechanics
m³·v⁶·γ⁻¹·Φ⁻⁴·μ₀²
γ = k₀ · m³·v⁶·Φ⁻⁴·μ₀²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "surf_tension": "-1", "mag_flux": "-4", "permeability": "2"}
5
elem_charge,mag_flux,mass,surf_tension,velocity
m·v·γ·Φ·e
constants,em,mechanics
m³·v⁴·γ⁻¹·Φ⁻²·e⁻²
γ = k₀ · m³·v⁴·Φ⁻²·e⁻²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "4", "surf_tension": "-1", "mag_flux": "-2", "elem_charge": "-2"}
5
elem_charge,mass,permittivity,surf_tension,velocity
m·v·γ·ε·e
constants,em,mechanics
m³·v⁶·γ⁻¹·ε²·e⁻⁴
γ = k₀ · m³·v⁶·ε²·e⁻⁴
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "velocity": "6", "surf_tension": "-1", "permittivity": "2", "elem_charge": "-4"}
5
conductivity,mass,permeability,surf_tension,velocity
m·v·γ·μ₀·σ
em,mechanics
m·v⁴·γ⁻¹·μ₀²·σ²
m = k₀ · v⁻⁴·γ·μ₀⁻²·σ⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "surf_tension": "-1", "permeability": "2", "conductivity": "2"}
5
mass,permeability,resistivity,surf_tension,velocity
m·v·γ·μ₀·ρ_e
em,mechanics
m·v⁴·γ⁻¹·μ₀²·ρ_e⁻²
m = k₀ · v⁻⁴·γ·μ₀⁻²·ρ_e²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "surf_tension": "-1", "permeability": "2", "resistivity": "-2"}
5
elem_charge,mass,permeability,surf_tension,velocity
m·v·γ·μ₀·e
constants,em,mechanics
m³·v²·γ⁻¹·μ₀⁻²·e⁻⁴
γ = k₀ · m³·v²·μ₀⁻²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "2", "surf_tension": "-1", "permeability": "-2", "elem_charge": "-4"}