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
avogadro,cat_activity,mass,planck,velocity
m·v·z·h·N_A
chemistry,constants,mechanics
m·v²·z⁻¹·h⁻¹·N_A⁻¹
m = k₀ · v⁻²·z·h·N_A
null
2
3
2
6
6.4
1.1
false
{"mass": "1", "velocity": "2", "cat_activity": "-1", "planck": "-1", "avogadro": "-1"}
5
grav_const,illuminance,lum_intensity,mass,velocity
m·v·I_v·E_v·G
constants,mechanics,photometry
m²·v⁻⁴·I_v⁻¹·E_v·G²
I_v = k₀ · m²·v⁻⁴·E_v·G²
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "-4", "lum_intensity": "-1", "illuminance": "1", "grav_const": "2"}
5
illuminance,lum_intensity,mass,planck,velocity
m·v·I_v·E_v·h
constants,mechanics,photometry
m²·v²·I_v·E_v⁻¹·h⁻²
I_v = k₀ · m⁻²·v⁻²·E_v·h²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "velocity": "2", "lum_intensity": "1", "illuminance": "-1", "planck": "-2"}
5
grav_const,lum_intensity,luminance,mass,velocity
m·v·I_v·L_v·G
constants,mechanics,photometry
m²·v⁻⁴·I_v⁻¹·L_v·G²
I_v = k₀ · m²·v⁻⁴·L_v·G²
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "velocity": "-4", "lum_intensity": "-1", "luminance": "1", "grav_const": "2"}
5
lum_intensity,luminance,mass,planck,velocity
m·v·I_v·L_v·h
constants,mechanics,photometry
m²·v²·I_v·L_v⁻¹·h⁻²
I_v = k₀ · m⁻²·v⁻²·L_v·h²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "velocity": "2", "lum_intensity": "1", "luminance": "-1", "planck": "-2"}
4
grav_const,mass,planck,velocity
m·v·G·h
constants,mechanics
m²·v⁻¹·G·h⁻¹
v = k₀ · m²·G·h⁻¹
null
2
2
2
5
4.8
3.2
false
{"mass": "2", "velocity": "-1", "grav_const": "1", "planck": "-1"}
3
acceleration,force,mass
m·a·F
mechanics
m·a·F⁻¹
m = k₀ · a⁻¹·F
Newton 2nd law
0
1
1
3
1
9
true
{"mass": "1", "acceleration": "1", "force": "-1"}
4
acceleration,energy,mass,power
m·a·E·P
mechanics
m·a²·E·P⁻²
m = k₀ · a⁻²·E⁻¹·P²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "energy": "1", "power": "-2"}
4
acceleration,ang_momentum,energy,mass
m·a·E·Lₐ
mechanics
m·a²·E⁻³·Lₐ²
m = k₀ · a⁻²·E³·Lₐ⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "acceleration": "2", "energy": "-3", "ang_momentum": "2"}
4
acceleration,action,energy,mass
m·a·E·S
mechanics
m·a²·E⁻³·S²
m = k₀ · a⁻²·E³·S⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "acceleration": "2", "energy": "-3", "action": "2"}
4
acceleration,energy,inertia,mass
m·a·E·J
mechanics
m·a²·E⁻²·J
m = k₀ · a⁻²·E²·J⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "energy": "-2", "inertia": "1"}
4
acceleration,energy,mass,pressure
m·a·E·P_p
mechanics
m³·a³·E⁻²·P_p⁻¹
P_p = k₀ · m³·a³·E⁻²
null
0
1
3
9
6.5
3.5
false
{"mass": "3", "acceleration": "3", "energy": "-2", "pressure": "-1"}
4
acceleration,density,energy,mass
m·a·E·ρ
mechanics
m⁴·a³·E⁻³·ρ⁻¹
ρ = k₀ · m⁴·a³·E⁻³
null
0
1
4
11
8.4
1.6
false
{"mass": "4", "acceleration": "3", "energy": "-3", "density": "-1"}
4
acceleration,energy,mass,viscosity
m·a·E·μ
mechanics
m⁵·a⁴·E⁻³·μ⁻²
μ = k₀ · m⁵ᐟ²·a²·E⁻³ᐟ²
null
0
1
5
14
11
-1
false
{"mass": "5", "acceleration": "4", "energy": "-3", "viscosity": "-2"}
4
acceleration,energy,kin_viscosity,mass
m·a·E·ν
mechanics
m³·a²·E⁻³·ν²
a = k₀ · m⁻³ᐟ²·E³ᐟ²·ν⁻¹
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "acceleration": "2", "energy": "-3", "kin_viscosity": "2"}
4
acceleration,energy,mass,omega
m·a·E·ω
mechanics
m·a²·E⁻¹·ω⁻²
m = k₀ · a⁻²·E·ω²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "energy": "-1", "omega": "-2"}
4
acceleration,energy,frequency,mass
m·a·E·f
mechanics
m·a²·E⁻¹·f⁻²
m = k₀ · a⁻²·E·f²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "energy": "-1", "frequency": "-2"}
4
acceleration,energy,mass,stiffness
m·a·E·k
mechanics
m²·a²·E⁻¹·k⁻¹
E = k₀ · m²·a²·k⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "acceleration": "2", "energy": "-1", "stiffness": "-1"}
4
acceleration,energy,mass,surf_tension
m·a·E·γ
mechanics
m²·a²·E⁻¹·γ⁻¹
E = k₀ · m²·a²·γ⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "acceleration": "2", "energy": "-1", "surf_tension": "-1"}
4
acceleration,area,energy,mass
m·a·E·A
mechanics
m²·a²·E⁻²·A
A = k₀ · m⁻²·a⁻²·E²
null
0
1
2
7
4.6
5.4
true
{"mass": "2", "acceleration": "2", "energy": "-2", "area": "1"}
4
acceleration,energy,mass,volume
m·a·E·V
mechanics
m³·a³·E⁻³·V
V = k₀ · m⁻³·a⁻³·E³
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "acceleration": "3", "energy": "-3", "volume": "1"}
4
acceleration,energy,flowrate,mass
m·a·E·Q
mechanics
m⁵·a⁴·E⁻⁵·Q²
Q = k₀ · m⁻⁵ᐟ²·a⁻²·E⁵ᐟ²
null
0
1
5
16
12.4
-2.4
false
{"mass": "5", "acceleration": "4", "energy": "-5", "flowrate": "2"}
5
acceleration,energy,mass,temperature,thermal_cond
m·a·E·Θ·κ
mechanics,thermo
m³·a⁴·E⁻¹·Θ⁻²·κ⁻²
E = k₀ · m³·a⁴·Θ⁻²·κ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "energy": "-1", "temperature": "-2", "thermal_cond": "-2"}
6
acceleration,concentration,energy,gas_constant,mass,temperature
m·a·E·Θ·c_n·R
chemistry,mechanics,thermo
m³·a³·E⁻²·Θ⁻¹·c_n⁻¹·R⁻¹
Θ = k₀ · m³·a³·E⁻²·c_n⁻¹·R⁻¹
null
0
3
3
11
9.7
-0.7
false
{"mass": "3", "acceleration": "3", "energy": "-2", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,energy,gas_constant,mass,temperature
m·a·E·Θ·R·z
chemistry,mechanics,thermo
m·a²·E·Θ⁻²·R⁻²·z⁻²
m = k₀ · a⁻²·E⁻¹·Θ²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "energy": "1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,energy,entropy,mass,thermal_cond
m·a·E·S_e·κ
mechanics,thermo
m³·a⁴·E⁻³·S_e²·κ⁻²
S_e = k₀ · m⁻³ᐟ²·a⁻²·E³ᐟ²·κ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-3", "entropy": "2", "thermal_cond": "-2"}
6
acceleration,concentration,energy,entropy,gas_constant,mass
m·a·E·S_e·c_n·R
chemistry,mechanics,thermo
m³·a³·E⁻³·S_e·c_n⁻¹·R⁻¹
S_e = k₀ · m⁻³·a⁻³·E³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "energy": "-3", "entropy": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,energy,entropy,gas_constant,mass
m·a·E·S_e·R·z
chemistry,mechanics,thermo
m·a²·E⁻¹·S_e²·R⁻²·z⁻²
m = k₀ · a⁻²·E·S_e⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "energy": "-1", "entropy": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,energy,heat_capacity,mass,thermal_cond
m·a·E·C·κ
mechanics,thermo
m³·a⁴·E⁻³·C²·κ⁻²
C = k₀ · m⁻³ᐟ²·a⁻²·E³ᐟ²·κ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-3", "heat_capacity": "2", "thermal_cond": "-2"}
6
acceleration,concentration,energy,gas_constant,heat_capacity,mass
m·a·E·C·c_n·R
chemistry,mechanics,thermo
m³·a³·E⁻³·C·c_n⁻¹·R⁻¹
C = k₀ · m⁻³·a⁻³·E³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "energy": "-3", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,energy,gas_constant,heat_capacity,mass
m·a·E·C·R·z
chemistry,mechanics,thermo
m·a²·E⁻¹·C²·R⁻²·z⁻²
m = k₀ · a⁻²·E·C⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "energy": "-1", "heat_capacity": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,energy,mass,specific_heat,thermal_cond
m·a·E·c·κ
mechanics,thermo
m⁵·a⁴·E⁻³·c²·κ⁻²
c = k₀ · m⁻⁵ᐟ²·a⁻²·E³ᐟ²·κ
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "acceleration": "4", "energy": "-3", "specific_heat": "2", "thermal_cond": "-2"}
6
acceleration,concentration,energy,gas_constant,mass,specific_heat
m·a·E·c·c_n·R
chemistry,mechanics,thermo
m⁴·a³·E⁻³·c·c_n⁻¹·R⁻¹
c = k₀ · m⁻⁴·a⁻³·E³·c_n·R
null
0
3
4
13
11.6
-2.6
false
{"mass": "4", "acceleration": "3", "energy": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,energy,gas_constant,mass,specific_heat
m·a·E·c·R·z
chemistry,mechanics,thermo
m³·a²·E⁻¹·c²·R⁻²·z⁻²
E = k₀ · m³·a²·c²·R⁻²·z⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "2", "energy": "-1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,energy,expansion,mass,thermal_cond
m·a·E·κ·β
mechanics,thermo
m³·a⁴·E⁻¹·κ⁻²·β²
E = k₀ · m³·a⁴·κ⁻²·β²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "energy": "-1", "thermal_cond": "-2", "expansion": "2"}
6
acceleration,amount,energy,gas_constant,mass,thermal_cond
m·a·E·κ·n·R
chemistry,mechanics,thermo
m³·a⁴·E⁻³·κ⁻²·n²·R²
κ = k₀ · m³ᐟ²·a²·E⁻³ᐟ²·n·R
null
0
3
4
16
13.7
-4.7
false
{"mass": "3", "acceleration": "4", "energy": "-3", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
acceleration,energy,gas_constant,mass,molar_mass,thermal_cond
m·a·E·κ·M_m·R
chemistry,mechanics,thermo
m⁵·a⁴·E⁻³·κ⁻²·M_m⁻²·R²
κ = k₀ · m⁵ᐟ²·a²·E⁻³ᐟ²·M_m⁻¹·R
null
0
3
5
18
15.6
-6.6
false
{"mass": "5", "acceleration": "4", "energy": "-3", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
acceleration,concentration,energy,gas_constant,mass,thermal_cond
m·a·E·κ·c_n·R
chemistry,mechanics,thermo
m³·a²·E⁻³·κ²·c_n⁻²·R⁻²
a = k₀ · m⁻³ᐟ²·E³ᐟ²·κ⁻¹·c_n·R
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "acceleration": "2", "energy": "-3", "thermal_cond": "2", "concentration": "-2", "gas_constant": "-2"}
6
acceleration,energy,gas_constant,mass,molar_energy,thermal_cond
m·a·E·κ·E_m·R
chemistry,mechanics,thermo
m³·a⁴·E⁻¹·κ⁻²·E_m⁻²·R²
E = k₀ · m³·a⁴·κ⁻²·E_m⁻²·R²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "acceleration": "4", "energy": "-1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
acceleration,cat_activity,energy,gas_constant,mass,thermal_cond
m·a·E·κ·R·z
chemistry,mechanics,thermo
m·a·E⁻¹·κ⁻¹·R·z
m = k₀ · a⁻¹·E·κ·R⁻¹·z⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "energy": "-1", "thermal_cond": "-1", "gas_constant": "1", "cat_activity": "1"}
6
acceleration,avogadro,energy,gas_constant,mass,thermal_cond
m·a·E·κ·R·N_A
chemistry,constants,mechanics,thermo
m³·a⁴·E⁻³·κ⁻²·R²·N_A⁻²
κ = k₀ · m³ᐟ²·a²·E⁻³ᐟ²·R·N_A⁻¹
null
1
4
4
16
14.3
-5.8
false
{"mass": "3", "acceleration": "4", "energy": "-3", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
acceleration,boltzmann,energy,mass,thermal_cond
m·a·E·κ·k_B
constants,mechanics,thermo
m³·a⁴·E⁻³·κ⁻²·k_B²
κ = k₀ · m³ᐟ²·a²·E⁻³ᐟ²·k_B
null
1
3
4
14
12
-3
false
{"mass": "3", "acceleration": "4", "energy": "-3", "thermal_cond": "-2", "boltzmann": "2"}
4
acceleration,energy,mass,thermal_diff
m·a·E·α
mechanics,thermo
m³·a²·E⁻³·α²
a = k₀ · m⁻³ᐟ²·E³ᐟ²·α⁻¹
null
0
2
3
10
7.8
1.7
false
{"mass": "3", "acceleration": "2", "energy": "-3", "thermal_diff": "2"}
6
acceleration,concentration,energy,expansion,gas_constant,mass
m·a·E·β·c_n·R
chemistry,mechanics,thermo
m³·a³·E⁻²·β·c_n⁻¹·R⁻¹
β = k₀ · m⁻³·a⁻³·E²·c_n·R
null
0
3
3
11
9.7
-0.7
false
{"mass": "3", "acceleration": "3", "energy": "-2", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,energy,expansion,gas_constant,mass
m·a·E·β·R·z
chemistry,mechanics,thermo
m·a²·E·β²·R⁻²·z⁻²
m = k₀ · a⁻²·E⁻¹·β⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "energy": "1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,charge,current,energy,mass
m·a·E·q·i
em,mechanics
m·a²·E⁻¹·q²·i⁻²
m = k₀ · a⁻²·E·q⁻²·i²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "charge": "2", "current": "-2"}
5
acceleration,charge,energy,mass,resistance
m·a·E·q·R
em,mechanics
m·a²·E⁻³·q⁴·R²
m = k₀ · a⁻²·E³·q⁻⁴·R⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "energy": "-3", "charge": "4", "resistance": "2"}
5
acceleration,charge,energy,inductance,mass
m·a·E·q·L_e
em,mechanics
m·a²·E⁻²·q²·L_e
m = k₀ · a⁻²·E²·q⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-2", "charge": "2", "inductance": "1"}
5
acceleration,bfield,charge,energy,mass
m·a·E·q·B
em,mechanics
m³·a²·E⁻¹·q⁻²·B⁻²
E = k₀ · m³·a²·q⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "energy": "-1", "charge": "-2", "bfield": "-2"}
5
acceleration,charge,energy,mag_flux,mass
m·a·E·q·Φ
em,mechanics
m·a²·E⁻³·q²·Φ²
m = k₀ · a⁻²·E³·q⁻²·Φ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "energy": "-3", "charge": "2", "mag_flux": "2"}
5
acceleration,charge,energy,mass,permittivity
m·a·E·q·ε
em,mechanics
m·a·E⁻²·q²·ε⁻¹
m = k₀ · a⁻¹·E²·q⁻²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "energy": "-2", "charge": "2", "permittivity": "-1"}
5
acceleration,charge,conductivity,energy,mass
m·a·E·q·σ
em,mechanics
m³·a⁴·E⁻⁵·q⁴·σ⁻²
σ = k₀ · m³ᐟ²·a²·E⁻⁵ᐟ²·q²
null
0
2
5
18
14.7
-5.2
false
{"mass": "3", "acceleration": "4", "energy": "-5", "charge": "4", "conductivity": "-2"}
5
acceleration,charge,energy,mass,resistivity
m·a·E·q·ρ_e
em,mechanics
m³·a⁴·E⁻⁵·q⁴·ρ_e²
ρ_e = k₀ · m⁻³ᐟ²·a⁻²·E⁵ᐟ²·q⁻²
null
0
2
5
18
14.7
-5.2
false
{"mass": "3", "acceleration": "4", "energy": "-5", "charge": "4", "resistivity": "2"}
5
acceleration,current,energy,mass,voltage
m·a·E·i·U
em,mechanics
m·a²·E·i⁻²·U⁻²
m = k₀ · a⁻²·E⁻¹·i²·U²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "1", "current": "-2", "voltage": "-2"}
5
acceleration,current,energy,mass,resistance
m·a·E·i·R
em,mechanics
m·a²·E·i⁻⁴·R⁻²
m = k₀ · a⁻²·E⁻¹·i⁴·R²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "energy": "1", "current": "-4", "resistance": "-2"}
5
acceleration,current,efield,energy,mass
m·a·E·i·E_f
em,mechanics
m³·a⁴·E⁻¹·i⁻²·E_f⁻²
E = k₀ · m³·a⁴·i⁻²·E_f⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "energy": "-1", "current": "-2", "efield": "-2"}
5
acceleration,bfield,current,energy,mass
m·a·E·i·B
em,mechanics
m²·a²·E⁻¹·i⁻¹·B⁻¹
E = k₀ · m²·a²·i⁻¹·B⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "energy": "-1", "current": "-1", "bfield": "-1"}
5
acceleration,current,elem_charge,energy,mass
m·a·E·i·e
constants,em,mechanics
m·a²·E⁻¹·i⁻²·e²
m = k₀ · a⁻²·E·i²·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "energy": "-1", "current": "-2", "elem_charge": "2"}
5
acceleration,energy,mass,resistance,voltage
m·a·E·U·R
em,mechanics
m·a²·E·U⁻⁴·R²
m = k₀ · a⁻²·E⁻¹·U⁴·R⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "energy": "1", "voltage": "-4", "resistance": "2"}
5
acceleration,efield,energy,mass,voltage
m·a·E·U·E_f
em,mechanics
m·a·E⁻¹·U·E_f⁻¹
m = k₀ · a⁻¹·E·U⁻¹·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "energy": "-1", "voltage": "1", "efield": "-1"}
5
acceleration,bfield,energy,mass,voltage
m·a·E·U·B
em,mechanics
m³·a²·E⁻³·U²·B⁻²
a = k₀ · m⁻³ᐟ²·E³ᐟ²·U⁻¹·B
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "energy": "-3", "voltage": "2", "bfield": "-2"}
5
acceleration,energy,mag_flux,mass,voltage
m·a·E·U·Φ
em,mechanics
m·a²·E⁻¹·U⁻²·Φ²
m = k₀ · a⁻²·E·U²·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "voltage": "-2", "mag_flux": "2"}
5
acceleration,conductivity,energy,mass,voltage
m·a·E·U·σ
em,mechanics
m³·a⁴·E⁻¹·U⁻⁴·σ⁻²
E = k₀ · m³·a⁴·U⁻⁴·σ⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-1", "voltage": "-4", "conductivity": "-2"}
5
acceleration,energy,mass,resistivity,voltage
m·a·E·U·ρ_e
em,mechanics
m³·a⁴·E⁻¹·U⁻⁴·ρ_e²
E = k₀ · m³·a⁴·U⁻⁴·ρ_e²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-1", "voltage": "-4", "resistivity": "2"}
5
acceleration,capacitance,energy,mass,resistance
m·a·E·R·C_e
em,mechanics
m·a²·E⁻¹·R²·C_e²
m = k₀ · a⁻²·E·R⁻²·C_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "resistance": "2", "capacitance": "2"}
5
acceleration,energy,inductance,mass,resistance
m·a·E·R·L_e
em,mechanics
m·a²·E⁻¹·R⁻²·L_e²
m = k₀ · a⁻²·E·R²·L_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "resistance": "-2", "inductance": "2"}
5
acceleration,efield,energy,mass,resistance
m·a·E·R·E_f
em,mechanics
m⁵·a⁶·E⁻³·R²·E_f⁻⁴
R = k₀ · m⁻⁵ᐟ²·a⁻³·E³ᐟ²·E_f²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "energy": "-3", "resistance": "2", "efield": "-4"}
5
acceleration,bfield,energy,mass,resistance
m·a·E·R·B
em,mechanics
m⁷·a⁶·E⁻⁵·R²·B⁻⁴
R = k₀ · m⁻⁷ᐟ²·a⁻³·E⁵ᐟ²·B²
null
0
2
7
24
19.9
-10.4
false
{"mass": "7", "acceleration": "6", "energy": "-5", "resistance": "2", "bfield": "-4"}
5
acceleration,energy,mag_flux,mass,resistance
m·a·E·R·Φ
em,mechanics
m·a²·E⁻³·R⁻²·Φ⁴
m = k₀ · a⁻²·E³·R²·Φ⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "energy": "-3", "resistance": "-2", "mag_flux": "4"}
5
acceleration,conductivity,energy,mass,resistance
m·a·E·R·σ
em,mechanics
m·a·E⁻¹·R⁻¹·σ⁻¹
m = k₀ · a⁻¹·E·R·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "energy": "-1", "resistance": "-1", "conductivity": "-1"}
5
acceleration,energy,mass,resistance,resistivity
m·a·E·R·ρ_e
em,mechanics
m·a·E⁻¹·R⁻¹·ρ_e
m = k₀ · a⁻¹·E·R·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "energy": "-1", "resistance": "-1", "resistivity": "1"}
5
acceleration,elem_charge,energy,mass,resistance
m·a·E·R·e
constants,em,mechanics
m·a²·E⁻³·R²·e⁴
m = k₀ · a⁻²·E³·R⁻²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "acceleration": "2", "energy": "-3", "resistance": "2", "elem_charge": "4"}
5
acceleration,capacitance,energy,inductance,mass
m·a·E·C_e·L_e
em,mechanics
m·a²·E⁻¹·C_e·L_e
m = k₀ · a⁻²·E·C_e⁻¹·L_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "energy": "-1", "capacitance": "1", "inductance": "1"}
5
acceleration,capacitance,efield,energy,mass
m·a·E·C_e·E_f
em,mechanics
m²·a²·E⁻¹·C_e⁻¹·E_f⁻²
E = k₀ · m²·a²·C_e⁻¹·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "energy": "-1", "capacitance": "-1", "efield": "-2"}
5
acceleration,bfield,capacitance,energy,mass
m·a·E·C_e·B
em,mechanics
m³·a²·E⁻²·C_e⁻¹·B⁻²
C_e = k₀ · m³·a²·E⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "energy": "-2", "capacitance": "-1", "bfield": "-2"}
5
acceleration,capacitance,energy,mag_flux,mass
m·a·E·C_e·Φ
em,mechanics
m·a²·E⁻²·C_e·Φ²
m = k₀ · a⁻²·E²·C_e⁻¹·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-2", "capacitance": "1", "mag_flux": "2"}
5
acceleration,capacitance,energy,mass,permittivity
m·a·E·C_e·ε
em,mechanics
m·a·E⁻¹·C_e·ε⁻¹
m = k₀ · a⁻¹·E·C_e⁻¹·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "energy": "-1", "capacitance": "1", "permittivity": "-1"}
5
acceleration,capacitance,conductivity,energy,mass
m·a·E·C_e·σ
em,mechanics
m³·a⁴·E⁻³·C_e²·σ⁻²
C_e = k₀ · m⁻³ᐟ²·a⁻²·E³ᐟ²·σ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-3", "capacitance": "2", "conductivity": "-2"}
5
acceleration,capacitance,energy,mass,resistivity
m·a·E·C_e·ρ_e
em,mechanics
m³·a⁴·E⁻³·C_e²·ρ_e²
C_e = k₀ · m⁻³ᐟ²·a⁻²·E³ᐟ²·ρ_e⁻¹
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-3", "capacitance": "2", "resistivity": "2"}
5
acceleration,efield,energy,inductance,mass
m·a·E·L_e·E_f
em,mechanics
m³·a⁴·E⁻²·L_e·E_f⁻²
L_e = k₀ · m⁻³·a⁻⁴·E²·E_f²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "energy": "-2", "inductance": "1", "efield": "-2"}
5
acceleration,bfield,energy,inductance,mass
m·a·E·L_e·B
em,mechanics
m⁴·a⁴·E⁻³·L_e·B⁻²
L_e = k₀ · m⁻⁴·a⁻⁴·E³·B²
null
0
2
4
14
11.4
-1.9
false
{"mass": "4", "acceleration": "4", "energy": "-3", "inductance": "1", "bfield": "-2"}
5
acceleration,energy,inductance,mass,permeability
m·a·E·L_e·μ₀
em,mechanics
m·a·E⁻¹·L_e·μ₀⁻¹
m = k₀ · a⁻¹·E·L_e⁻¹·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "energy": "-1", "inductance": "1", "permeability": "-1"}
5
acceleration,elem_charge,energy,inductance,mass
m·a·E·L_e·e
constants,em,mechanics
m·a²·E⁻²·L_e·e²
m = k₀ · a⁻²·E²·L_e⁻¹·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "energy": "-2", "inductance": "1", "elem_charge": "2"}
5
acceleration,efield,energy,mag_flux,mass
m·a·E·E_f·Φ
em,mechanics
m³·a⁴·E⁻³·E_f⁻²·Φ²
E_f = k₀ · m³ᐟ²·a²·E⁻³ᐟ²·Φ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "energy": "-3", "efield": "-2", "mag_flux": "2"}
5
acceleration,efield,energy,mass,permittivity
m·a·E·E_f·ε
em,mechanics
m³·a³·E⁻²·E_f⁻²·ε⁻¹
ε = k₀ · m³·a³·E⁻²·E_f⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "energy": "-2", "efield": "-2", "permittivity": "-1"}
5
acceleration,efield,energy,mass,permeability
m·a·E·E_f·μ₀
em,mechanics
m²·a³·E⁻¹·E_f⁻²·μ₀
E = k₀ · m²·a³·E_f⁻²·μ₀
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "acceleration": "3", "energy": "-1", "efield": "-2", "permeability": "1"}
5
acceleration,conductivity,efield,energy,mass
m·a·E·E_f·σ
em,mechanics
m⁷·a⁸·E⁻⁵·E_f⁻⁴·σ⁻²
σ = k₀ · m⁷ᐟ²·a⁴·E⁻⁵ᐟ²·E_f⁻²
null
0
2
8
26
21.8
-12.3
false
{"mass": "7", "acceleration": "8", "energy": "-5", "efield": "-4", "conductivity": "-2"}
5
acceleration,efield,energy,mass,resistivity
m·a·E·E_f·ρ_e
em,mechanics
m⁷·a⁸·E⁻⁵·E_f⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁷ᐟ²·a⁻⁴·E⁵ᐟ²·E_f²
null
0
2
8
26
21.8
-12.3
false
{"mass": "7", "acceleration": "8", "energy": "-5", "efield": "-4", "resistivity": "2"}
5
acceleration,bfield,energy,mag_flux,mass
m·a·E·B·Φ
em,mechanics
m²·a²·E⁻²·B⁻¹·Φ
B = k₀ · m²·a²·E⁻²·Φ
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "energy": "-2", "bfield": "-1", "mag_flux": "1"}
5
acceleration,bfield,energy,mass,permittivity
m·a·E·B·ε
em,mechanics
m⁴·a³·E⁻³·B⁻²·ε⁻¹
ε = k₀ · m⁴·a³·E⁻³·B⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "4", "acceleration": "3", "energy": "-3", "bfield": "-2", "permittivity": "-1"}
5
acceleration,bfield,energy,mass,permeability
m·a·E·B·μ₀
em,mechanics
m³·a³·E⁻²·B⁻²·μ₀
μ₀ = k₀ · m⁻³·a⁻³·E²·B²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "energy": "-2", "bfield": "-2", "permeability": "1"}
5
acceleration,bfield,conductivity,energy,mass
m·a·E·B·σ
em,mechanics
m⁹·a⁸·E⁻⁷·B⁻⁴·σ⁻²
σ = k₀ · m⁹ᐟ²·a⁴·E⁻⁷ᐟ²·B⁻²
null
0
2
9
30
25.1
-15.6
false
{"mass": "9", "acceleration": "8", "energy": "-7", "bfield": "-4", "conductivity": "-2"}
5
acceleration,bfield,energy,mass,resistivity
m·a·E·B·ρ_e
em,mechanics
m⁹·a⁸·E⁻⁷·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁹ᐟ²·a⁻⁴·E⁷ᐟ²·B²
null
0
2
9
30
25.1
-15.6
false
{"mass": "9", "acceleration": "8", "energy": "-7", "bfield": "-4", "resistivity": "2"}
5
acceleration,bfield,elem_charge,energy,mass
m·a·E·B·e
constants,em,mechanics
m³·a²·E⁻¹·B⁻²·e⁻²
E = k₀ · m³·a²·B⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "3", "acceleration": "2", "energy": "-1", "bfield": "-2", "elem_charge": "-2"}
5
acceleration,energy,mag_flux,mass,permeability
m·a·E·Φ·μ₀
em,mechanics
m·a·E⁻²·Φ²·μ₀⁻¹
m = k₀ · a⁻¹·E²·Φ⁻²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "energy": "-2", "mag_flux": "2", "permeability": "-1"}
5
acceleration,elem_charge,energy,mag_flux,mass
m·a·E·Φ·e
constants,em,mechanics
m·a²·E⁻³·Φ²·e²
m = k₀ · a⁻²·E³·Φ⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "acceleration": "2", "energy": "-3", "mag_flux": "2", "elem_charge": "2"}
5
acceleration,conductivity,energy,mass,permittivity
m·a·E·ε·σ
em,mechanics
m·a²·E⁻¹·ε²·σ⁻²
m = k₀ · a⁻²·E·ε⁻²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "permittivity": "2", "conductivity": "-2"}
5
acceleration,energy,mass,permittivity,resistivity
m·a·E·ε·ρ_e
em,mechanics
m·a²·E⁻¹·ε²·ρ_e²
m = k₀ · a⁻²·E·ε⁻²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "permittivity": "2", "resistivity": "2"}
5
acceleration,elem_charge,energy,mass,permittivity
m·a·E·ε·e
constants,em,mechanics
m·a·E⁻²·ε⁻¹·e²
m = k₀ · a⁻¹·E²·ε·e⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "1", "energy": "-2", "permittivity": "-1", "elem_charge": "2"}
5
acceleration,conductivity,energy,mass,permeability
m·a·E·μ₀·σ
em,mechanics
m³·a²·E⁻³·μ₀⁻²·σ⁻²
a = k₀ · m⁻³ᐟ²·E³ᐟ²·μ₀·σ
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "energy": "-3", "permeability": "-2", "conductivity": "-2"}