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
acceleration,energy,mass,permeability,resistivity
m·a·E·μ₀·ρ_e
em,mechanics
m³·a²·E⁻³·μ₀⁻²·ρ_e²
a = k₀ · m⁻³ᐟ²·E³ᐟ²·μ₀·ρ_e⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "energy": "-3", "permeability": "-2", "resistivity": "2"}
5
acceleration,conductivity,elem_charge,energy,mass
m·a·E·σ·e
constants,em,mechanics
m³·a⁴·E⁻⁵·σ⁻²·e⁴
σ = k₀ · m³ᐟ²·a²·E⁻⁵ᐟ²·e²
null
1
3
5
18
15.3
-6.3
false
{"mass": "3", "acceleration": "4", "energy": "-5", "conductivity": "-2", "elem_charge": "4"}
5
acceleration,elem_charge,energy,mass,resistivity
m·a·E·ρ_e·e
constants,em,mechanics
m³·a⁴·E⁻⁵·ρ_e²·e⁴
ρ_e = k₀ · m⁻³ᐟ²·a⁻²·E⁵ᐟ²·e⁻²
null
1
3
5
18
15.3
-6.3
false
{"mass": "3", "acceleration": "4", "energy": "-5", "resistivity": "2", "elem_charge": "4"}
5
acceleration,amount,concentration,energy,mass
m·a·E·n·c_n
chemistry,mechanics
m³·a³·E⁻³·n·c_n⁻¹
n = k₀ · m⁻³·a⁻³·E³·c_n
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "energy": "-3", "amount": "1", "concentration": "-1"}
5
acceleration,amount,cat_activity,energy,mass
m·a·E·n·z
chemistry,mechanics
m·a²·E⁻¹·n²·z⁻²
m = k₀ · a⁻²·E·n⁻²·z²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "-1", "amount": "2", "cat_activity": "-2"}
5
acceleration,concentration,energy,mass,molar_mass
m·a·E·M_m·c_n
chemistry,mechanics
m⁴·a³·E⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·a³·E⁻³·c_n⁻¹
null
0
2
4
12
10
-0.5
false
{"mass": "4", "acceleration": "3", "energy": "-3", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,cat_activity,energy,mass,molar_mass
m·a·E·M_m·z
chemistry,mechanics
m³·a²·E⁻¹·M_m⁻²·z⁻²
E = k₀ · m³·a²·M_m⁻²·z⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "energy": "-1", "molar_mass": "-2", "cat_activity": "-2"}
5
acceleration,concentration,energy,mass,molar_energy
m·a·E·c_n·E_m
chemistry,mechanics
m³·a³·E⁻²·c_n⁻¹·E_m⁻¹
c_n = k₀ · m³·a³·E⁻²·E_m⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "3", "energy": "-2", "concentration": "-1", "molar_energy": "-1"}
6
acceleration,boltzmann,concentration,energy,gas_constant,mass
m·a·E·c_n·R·k_B
chemistry,constants,mechanics
m³·a³·E⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·a³·E⁻³·R⁻¹·k_B
null
1
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "energy": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
5
acceleration,cat_activity,concentration,energy,mass
m·a·E·c_n·z
chemistry,mechanics
m⁵·a⁴·E⁻⁵·c_n⁻²·z²
c_n = k₀ · m⁵ᐟ²·a²·E⁻⁵ᐟ²·z
null
0
2
5
18
14.7
-5.2
false
{"mass": "5", "acceleration": "4", "energy": "-5", "concentration": "-2", "cat_activity": "2"}
5
acceleration,avogadro,concentration,energy,mass
m·a·E·c_n·N_A
chemistry,constants,mechanics
m³·a³·E⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·a³·E⁻³·N_A⁻¹
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "acceleration": "3", "energy": "-3", "concentration": "-1", "avogadro": "-1"}
5
acceleration,cat_activity,energy,mass,molar_energy
m·a·E·E_m·z
chemistry,mechanics
m·a²·E·E_m⁻²·z⁻²
m = k₀ · a⁻²·E⁻¹·E_m²·z²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "energy": "1", "molar_energy": "-2", "cat_activity": "-2"}
6
acceleration,boltzmann,cat_activity,energy,gas_constant,mass
m·a·E·R·z·k_B
chemistry,constants,mechanics
m·a²·E⁻¹·R⁻²·z⁻²·k_B²
m = k₀ · a⁻²·E·R²·z²·k_B⁻²
null
1
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "energy": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
5
acceleration,avogadro,cat_activity,energy,mass
m·a·E·z·N_A
chemistry,constants,mechanics
m·a²·E⁻¹·z⁻²·N_A⁻²
m = k₀ · a⁻²·E·z²·N_A²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "energy": "-1", "cat_activity": "-2", "avogadro": "-2"}
5
acceleration,energy,illuminance,lum_intensity,mass
m·a·E·I_v·E_v
mechanics,photometry
m²·a²·E⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·a⁻²·E²·E_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "energy": "-2", "lum_intensity": "1", "illuminance": "-1"}
5
acceleration,energy,lum_intensity,luminance,mass
m·a·E·I_v·L_v
mechanics,photometry
m²·a²·E⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·a⁻²·E²·L_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "energy": "-2", "lum_intensity": "1", "luminance": "-1"}
4
acceleration,energy,grav_const,mass
m·a·E·G
constants,mechanics
m³·a·E⁻²·G
a = k₀ · m⁻³·E²·G⁻¹
null
1
2
3
7
5.7
3.8
true
{"mass": "3", "acceleration": "1", "energy": "-2", "grav_const": "1"}
4
acceleration,energy,mass,planck
m·a·E·h
constants,mechanics
m·a²·E⁻³·h²
m = k₀ · a⁻²·E³·h⁻²
null
1
2
3
8
6.4
3.1
true
{"mass": "1", "acceleration": "2", "energy": "-3", "planck": "2"}
4
acceleration,mass,power,torque
m·a·τ·P
mechanics
m·a²·τ·P⁻²
m = k₀ · a⁻²·τ⁻¹·P²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "torque": "1", "power": "-2"}
4
acceleration,ang_momentum,mass,torque
m·a·τ·Lₐ
mechanics
m·a²·τ⁻³·Lₐ²
m = k₀ · a⁻²·τ³·Lₐ⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "acceleration": "2", "torque": "-3", "ang_momentum": "2"}
4
acceleration,action,mass,torque
m·a·τ·S
mechanics
m·a²·τ⁻³·S²
m = k₀ · a⁻²·τ³·S⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "acceleration": "2", "torque": "-3", "action": "2"}
4
acceleration,inertia,mass,torque
m·a·τ·J
mechanics
m·a²·τ⁻²·J
m = k₀ · a⁻²·τ²·J⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "torque": "-2", "inertia": "1"}
4
acceleration,mass,pressure,torque
m·a·τ·P_p
mechanics
m³·a³·τ⁻²·P_p⁻¹
P_p = k₀ · m³·a³·τ⁻²
null
0
1
3
9
6.5
3.5
false
{"mass": "3", "acceleration": "3", "torque": "-2", "pressure": "-1"}
4
acceleration,density,mass,torque
m·a·τ·ρ
mechanics
m⁴·a³·τ⁻³·ρ⁻¹
ρ = k₀ · m⁴·a³·τ⁻³
null
0
1
4
11
8.4
1.6
false
{"mass": "4", "acceleration": "3", "torque": "-3", "density": "-1"}
4
acceleration,mass,torque,viscosity
m·a·τ·μ
mechanics
m⁵·a⁴·τ⁻³·μ⁻²
μ = k₀ · m⁵ᐟ²·a²·τ⁻³ᐟ²
null
0
1
5
14
11
-1
false
{"mass": "5", "acceleration": "4", "torque": "-3", "viscosity": "-2"}
4
acceleration,kin_viscosity,mass,torque
m·a·τ·ν
mechanics
m³·a²·τ⁻³·ν²
a = k₀ · m⁻³ᐟ²·τ³ᐟ²·ν⁻¹
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "acceleration": "2", "torque": "-3", "kin_viscosity": "2"}
4
acceleration,mass,omega,torque
m·a·τ·ω
mechanics
m·a²·τ⁻¹·ω⁻²
m = k₀ · a⁻²·τ·ω²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "torque": "-1", "omega": "-2"}
4
acceleration,frequency,mass,torque
m·a·τ·f
mechanics
m·a²·τ⁻¹·f⁻²
m = k₀ · a⁻²·τ·f²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "acceleration": "2", "torque": "-1", "frequency": "-2"}
4
acceleration,mass,stiffness,torque
m·a·τ·k
mechanics
m²·a²·τ⁻¹·k⁻¹
τ = k₀ · m²·a²·k⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "acceleration": "2", "torque": "-1", "stiffness": "-1"}
4
acceleration,mass,surf_tension,torque
m·a·τ·γ
mechanics
m²·a²·τ⁻¹·γ⁻¹
τ = k₀ · m²·a²·γ⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "acceleration": "2", "torque": "-1", "surf_tension": "-1"}
4
acceleration,area,mass,torque
m·a·τ·A
mechanics
m²·a²·τ⁻²·A
A = k₀ · m⁻²·a⁻²·τ²
null
0
1
2
7
4.6
5.4
true
{"mass": "2", "acceleration": "2", "torque": "-2", "area": "1"}
4
acceleration,mass,torque,volume
m·a·τ·V
mechanics
m³·a³·τ⁻³·V
V = k₀ · m⁻³·a⁻³·τ³
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "acceleration": "3", "torque": "-3", "volume": "1"}
4
acceleration,flowrate,mass,torque
m·a·τ·Q
mechanics
m⁵·a⁴·τ⁻⁵·Q²
Q = k₀ · m⁻⁵ᐟ²·a⁻²·τ⁵ᐟ²
null
0
1
5
16
12.4
-2.4
false
{"mass": "5", "acceleration": "4", "torque": "-5", "flowrate": "2"}
5
acceleration,mass,temperature,thermal_cond,torque
m·a·τ·Θ·κ
mechanics,thermo
m³·a⁴·τ⁻¹·Θ⁻²·κ⁻²
τ = k₀ · m³·a⁴·Θ⁻²·κ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "torque": "-1", "temperature": "-2", "thermal_cond": "-2"}
6
acceleration,concentration,gas_constant,mass,temperature,torque
m·a·τ·Θ·c_n·R
chemistry,mechanics,thermo
m³·a³·τ⁻²·Θ⁻¹·c_n⁻¹·R⁻¹
Θ = k₀ · m³·a³·τ⁻²·c_n⁻¹·R⁻¹
null
0
3
3
11
9.7
-0.7
false
{"mass": "3", "acceleration": "3", "torque": "-2", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,mass,temperature,torque
m·a·τ·Θ·R·z
chemistry,mechanics,thermo
m·a²·τ·Θ⁻²·R⁻²·z⁻²
m = k₀ · a⁻²·τ⁻¹·Θ²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "torque": "1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,entropy,mass,thermal_cond,torque
m·a·τ·S_e·κ
mechanics,thermo
m³·a⁴·τ⁻³·S_e²·κ⁻²
S_e = k₀ · m⁻³ᐟ²·a⁻²·τ³ᐟ²·κ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-3", "entropy": "2", "thermal_cond": "-2"}
6
acceleration,concentration,entropy,gas_constant,mass,torque
m·a·τ·S_e·c_n·R
chemistry,mechanics,thermo
m³·a³·τ⁻³·S_e·c_n⁻¹·R⁻¹
S_e = k₀ · m⁻³·a⁻³·τ³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "torque": "-3", "entropy": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,entropy,gas_constant,mass,torque
m·a·τ·S_e·R·z
chemistry,mechanics,thermo
m·a²·τ⁻¹·S_e²·R⁻²·z⁻²
m = k₀ · a⁻²·τ·S_e⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "torque": "-1", "entropy": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,heat_capacity,mass,thermal_cond,torque
m·a·τ·C·κ
mechanics,thermo
m³·a⁴·τ⁻³·C²·κ⁻²
C = k₀ · m⁻³ᐟ²·a⁻²·τ³ᐟ²·κ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-3", "heat_capacity": "2", "thermal_cond": "-2"}
6
acceleration,concentration,gas_constant,heat_capacity,mass,torque
m·a·τ·C·c_n·R
chemistry,mechanics,thermo
m³·a³·τ⁻³·C·c_n⁻¹·R⁻¹
C = k₀ · m⁻³·a⁻³·τ³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "torque": "-3", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,heat_capacity,mass,torque
m·a·τ·C·R·z
chemistry,mechanics,thermo
m·a²·τ⁻¹·C²·R⁻²·z⁻²
m = k₀ · a⁻²·τ·C⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "torque": "-1", "heat_capacity": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,mass,specific_heat,thermal_cond,torque
m·a·τ·c·κ
mechanics,thermo
m⁵·a⁴·τ⁻³·c²·κ⁻²
c = k₀ · m⁻⁵ᐟ²·a⁻²·τ³ᐟ²·κ
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "acceleration": "4", "torque": "-3", "specific_heat": "2", "thermal_cond": "-2"}
6
acceleration,concentration,gas_constant,mass,specific_heat,torque
m·a·τ·c·c_n·R
chemistry,mechanics,thermo
m⁴·a³·τ⁻³·c·c_n⁻¹·R⁻¹
c = k₀ · m⁻⁴·a⁻³·τ³·c_n·R
null
0
3
4
13
11.6
-2.6
false
{"mass": "4", "acceleration": "3", "torque": "-3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,mass,specific_heat,torque
m·a·τ·c·R·z
chemistry,mechanics,thermo
m³·a²·τ⁻¹·c²·R⁻²·z⁻²
τ = k₀ · m³·a²·c²·R⁻²·z⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "2", "torque": "-1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,expansion,mass,thermal_cond,torque
m·a·τ·κ·β
mechanics,thermo
m³·a⁴·τ⁻¹·κ⁻²·β²
τ = k₀ · m³·a⁴·κ⁻²·β²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "torque": "-1", "thermal_cond": "-2", "expansion": "2"}
6
acceleration,amount,gas_constant,mass,thermal_cond,torque
m·a·τ·κ·n·R
chemistry,mechanics,thermo
m³·a⁴·τ⁻³·κ⁻²·n²·R²
κ = k₀ · m³ᐟ²·a²·τ⁻³ᐟ²·n·R
null
0
3
4
16
13.7
-4.7
false
{"mass": "3", "acceleration": "4", "torque": "-3", "thermal_cond": "-2", "amount": "2", "gas_constant": "2"}
6
acceleration,gas_constant,mass,molar_mass,thermal_cond,torque
m·a·τ·κ·M_m·R
chemistry,mechanics,thermo
m⁵·a⁴·τ⁻³·κ⁻²·M_m⁻²·R²
κ = k₀ · m⁵ᐟ²·a²·τ⁻³ᐟ²·M_m⁻¹·R
null
0
3
5
18
15.6
-6.6
false
{"mass": "5", "acceleration": "4", "torque": "-3", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
acceleration,concentration,gas_constant,mass,thermal_cond,torque
m·a·τ·κ·c_n·R
chemistry,mechanics,thermo
m³·a²·τ⁻³·κ²·c_n⁻²·R⁻²
a = k₀ · m⁻³ᐟ²·τ³ᐟ²·κ⁻¹·c_n·R
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "acceleration": "2", "torque": "-3", "thermal_cond": "2", "concentration": "-2", "gas_constant": "-2"}
6
acceleration,gas_constant,mass,molar_energy,thermal_cond,torque
m·a·τ·κ·E_m·R
chemistry,mechanics,thermo
m³·a⁴·τ⁻¹·κ⁻²·E_m⁻²·R²
τ = k₀ · m³·a⁴·κ⁻²·E_m⁻²·R²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "acceleration": "4", "torque": "-1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
acceleration,cat_activity,gas_constant,mass,thermal_cond,torque
m·a·τ·κ·R·z
chemistry,mechanics,thermo
m·a·τ⁻¹·κ⁻¹·R·z
m = k₀ · a⁻¹·τ·κ·R⁻¹·z⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "torque": "-1", "thermal_cond": "-1", "gas_constant": "1", "cat_activity": "1"}
6
acceleration,avogadro,gas_constant,mass,thermal_cond,torque
m·a·τ·κ·R·N_A
chemistry,constants,mechanics,thermo
m³·a⁴·τ⁻³·κ⁻²·R²·N_A⁻²
κ = k₀ · m³ᐟ²·a²·τ⁻³ᐟ²·R·N_A⁻¹
null
1
4
4
16
14.3
-5.8
false
{"mass": "3", "acceleration": "4", "torque": "-3", "thermal_cond": "-2", "gas_constant": "2", "avogadro": "-2"}
5
acceleration,boltzmann,mass,thermal_cond,torque
m·a·τ·κ·k_B
constants,mechanics,thermo
m³·a⁴·τ⁻³·κ⁻²·k_B²
κ = k₀ · m³ᐟ²·a²·τ⁻³ᐟ²·k_B
null
1
3
4
14
12
-3
false
{"mass": "3", "acceleration": "4", "torque": "-3", "thermal_cond": "-2", "boltzmann": "2"}
4
acceleration,mass,thermal_diff,torque
m·a·τ·α
mechanics,thermo
m³·a²·τ⁻³·α²
a = k₀ · m⁻³ᐟ²·τ³ᐟ²·α⁻¹
null
0
2
3
10
7.8
1.7
false
{"mass": "3", "acceleration": "2", "torque": "-3", "thermal_diff": "2"}
6
acceleration,concentration,expansion,gas_constant,mass,torque
m·a·τ·β·c_n·R
chemistry,mechanics,thermo
m³·a³·τ⁻²·β·c_n⁻¹·R⁻¹
β = k₀ · m⁻³·a⁻³·τ²·c_n·R
null
0
3
3
11
9.7
-0.7
false
{"mass": "3", "acceleration": "3", "torque": "-2", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,expansion,gas_constant,mass,torque
m·a·τ·β·R·z
chemistry,mechanics,thermo
m·a²·τ·β²·R⁻²·z⁻²
m = k₀ · a⁻²·τ⁻¹·β⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "torque": "1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
acceleration,charge,current,mass,torque
m·a·τ·q·i
em,mechanics
m·a²·τ⁻¹·q²·i⁻²
m = k₀ · a⁻²·τ·q⁻²·i²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "charge": "2", "current": "-2"}
5
acceleration,charge,mass,resistance,torque
m·a·τ·q·R
em,mechanics
m·a²·τ⁻³·q⁴·R²
m = k₀ · a⁻²·τ³·q⁻⁴·R⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "torque": "-3", "charge": "4", "resistance": "2"}
5
acceleration,charge,inductance,mass,torque
m·a·τ·q·L_e
em,mechanics
m·a²·τ⁻²·q²·L_e
m = k₀ · a⁻²·τ²·q⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-2", "charge": "2", "inductance": "1"}
5
acceleration,bfield,charge,mass,torque
m·a·τ·q·B
em,mechanics
m³·a²·τ⁻¹·q⁻²·B⁻²
τ = k₀ · m³·a²·q⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "torque": "-1", "charge": "-2", "bfield": "-2"}
5
acceleration,charge,mag_flux,mass,torque
m·a·τ·q·Φ
em,mechanics
m·a²·τ⁻³·q²·Φ²
m = k₀ · a⁻²·τ³·q⁻²·Φ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "torque": "-3", "charge": "2", "mag_flux": "2"}
5
acceleration,charge,mass,permittivity,torque
m·a·τ·q·ε
em,mechanics
m·a·τ⁻²·q²·ε⁻¹
m = k₀ · a⁻¹·τ²·q⁻²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "torque": "-2", "charge": "2", "permittivity": "-1"}
5
acceleration,charge,conductivity,mass,torque
m·a·τ·q·σ
em,mechanics
m³·a⁴·τ⁻⁵·q⁴·σ⁻²
σ = k₀ · m³ᐟ²·a²·τ⁻⁵ᐟ²·q²
null
0
2
5
18
14.7
-5.2
false
{"mass": "3", "acceleration": "4", "torque": "-5", "charge": "4", "conductivity": "-2"}
5
acceleration,charge,mass,resistivity,torque
m·a·τ·q·ρ_e
em,mechanics
m³·a⁴·τ⁻⁵·q⁴·ρ_e²
ρ_e = k₀ · m⁻³ᐟ²·a⁻²·τ⁵ᐟ²·q⁻²
null
0
2
5
18
14.7
-5.2
false
{"mass": "3", "acceleration": "4", "torque": "-5", "charge": "4", "resistivity": "2"}
5
acceleration,current,mass,torque,voltage
m·a·τ·i·U
em,mechanics
m·a²·τ·i⁻²·U⁻²
m = k₀ · a⁻²·τ⁻¹·i²·U²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "1", "current": "-2", "voltage": "-2"}
5
acceleration,current,mass,resistance,torque
m·a·τ·i·R
em,mechanics
m·a²·τ·i⁻⁴·R⁻²
m = k₀ · a⁻²·τ⁻¹·i⁴·R²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "torque": "1", "current": "-4", "resistance": "-2"}
5
acceleration,current,efield,mass,torque
m·a·τ·i·E_f
em,mechanics
m³·a⁴·τ⁻¹·i⁻²·E_f⁻²
τ = k₀ · m³·a⁴·i⁻²·E_f⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "torque": "-1", "current": "-2", "efield": "-2"}
5
acceleration,bfield,current,mass,torque
m·a·τ·i·B
em,mechanics
m²·a²·τ⁻¹·i⁻¹·B⁻¹
τ = k₀ · m²·a²·i⁻¹·B⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "torque": "-1", "current": "-1", "bfield": "-1"}
5
acceleration,current,elem_charge,mass,torque
m·a·τ·i·e
constants,em,mechanics
m·a²·τ⁻¹·i⁻²·e²
m = k₀ · a⁻²·τ·i²·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "torque": "-1", "current": "-2", "elem_charge": "2"}
5
acceleration,mass,resistance,torque,voltage
m·a·τ·U·R
em,mechanics
m·a²·τ·U⁻⁴·R²
m = k₀ · a⁻²·τ⁻¹·U⁴·R⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "torque": "1", "voltage": "-4", "resistance": "2"}
5
acceleration,efield,mass,torque,voltage
m·a·τ·U·E_f
em,mechanics
m·a·τ⁻¹·U·E_f⁻¹
m = k₀ · a⁻¹·τ·U⁻¹·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "torque": "-1", "voltage": "1", "efield": "-1"}
5
acceleration,bfield,mass,torque,voltage
m·a·τ·U·B
em,mechanics
m³·a²·τ⁻³·U²·B⁻²
a = k₀ · m⁻³ᐟ²·τ³ᐟ²·U⁻¹·B
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "torque": "-3", "voltage": "2", "bfield": "-2"}
5
acceleration,mag_flux,mass,torque,voltage
m·a·τ·U·Φ
em,mechanics
m·a²·τ⁻¹·U⁻²·Φ²
m = k₀ · a⁻²·τ·U²·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "voltage": "-2", "mag_flux": "2"}
5
acceleration,conductivity,mass,torque,voltage
m·a·τ·U·σ
em,mechanics
m³·a⁴·τ⁻¹·U⁻⁴·σ⁻²
τ = k₀ · m³·a⁴·U⁻⁴·σ⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-1", "voltage": "-4", "conductivity": "-2"}
5
acceleration,mass,resistivity,torque,voltage
m·a·τ·U·ρ_e
em,mechanics
m³·a⁴·τ⁻¹·U⁻⁴·ρ_e²
τ = k₀ · m³·a⁴·U⁻⁴·ρ_e²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-1", "voltage": "-4", "resistivity": "2"}
5
acceleration,capacitance,mass,resistance,torque
m·a·τ·R·C_e
em,mechanics
m·a²·τ⁻¹·R²·C_e²
m = k₀ · a⁻²·τ·R⁻²·C_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "resistance": "2", "capacitance": "2"}
5
acceleration,inductance,mass,resistance,torque
m·a·τ·R·L_e
em,mechanics
m·a²·τ⁻¹·R⁻²·L_e²
m = k₀ · a⁻²·τ·R²·L_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "resistance": "-2", "inductance": "2"}
5
acceleration,efield,mass,resistance,torque
m·a·τ·R·E_f
em,mechanics
m⁵·a⁶·τ⁻³·R²·E_f⁻⁴
R = k₀ · m⁻⁵ᐟ²·a⁻³·τ³ᐟ²·E_f²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "torque": "-3", "resistance": "2", "efield": "-4"}
5
acceleration,bfield,mass,resistance,torque
m·a·τ·R·B
em,mechanics
m⁷·a⁶·τ⁻⁵·R²·B⁻⁴
R = k₀ · m⁻⁷ᐟ²·a⁻³·τ⁵ᐟ²·B²
null
0
2
7
24
19.9
-10.4
false
{"mass": "7", "acceleration": "6", "torque": "-5", "resistance": "2", "bfield": "-4"}
5
acceleration,mag_flux,mass,resistance,torque
m·a·τ·R·Φ
em,mechanics
m·a²·τ⁻³·R⁻²·Φ⁴
m = k₀ · a⁻²·τ³·R²·Φ⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "torque": "-3", "resistance": "-2", "mag_flux": "4"}
5
acceleration,conductivity,mass,resistance,torque
m·a·τ·R·σ
em,mechanics
m·a·τ⁻¹·R⁻¹·σ⁻¹
m = k₀ · a⁻¹·τ·R·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "torque": "-1", "resistance": "-1", "conductivity": "-1"}
5
acceleration,mass,resistance,resistivity,torque
m·a·τ·R·ρ_e
em,mechanics
m·a·τ⁻¹·R⁻¹·ρ_e
m = k₀ · a⁻¹·τ·R·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "torque": "-1", "resistance": "-1", "resistivity": "1"}
5
acceleration,elem_charge,mass,resistance,torque
m·a·τ·R·e
constants,em,mechanics
m·a²·τ⁻³·R²·e⁴
m = k₀ · a⁻²·τ³·R⁻²·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "acceleration": "2", "torque": "-3", "resistance": "2", "elem_charge": "4"}
5
acceleration,capacitance,inductance,mass,torque
m·a·τ·C_e·L_e
em,mechanics
m·a²·τ⁻¹·C_e·L_e
m = k₀ · a⁻²·τ·C_e⁻¹·L_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "torque": "-1", "capacitance": "1", "inductance": "1"}
5
acceleration,capacitance,efield,mass,torque
m·a·τ·C_e·E_f
em,mechanics
m²·a²·τ⁻¹·C_e⁻¹·E_f⁻²
τ = k₀ · m²·a²·C_e⁻¹·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "torque": "-1", "capacitance": "-1", "efield": "-2"}
5
acceleration,bfield,capacitance,mass,torque
m·a·τ·C_e·B
em,mechanics
m³·a²·τ⁻²·C_e⁻¹·B⁻²
C_e = k₀ · m³·a²·τ⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "torque": "-2", "capacitance": "-1", "bfield": "-2"}
5
acceleration,capacitance,mag_flux,mass,torque
m·a·τ·C_e·Φ
em,mechanics
m·a²·τ⁻²·C_e·Φ²
m = k₀ · a⁻²·τ²·C_e⁻¹·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-2", "capacitance": "1", "mag_flux": "2"}
5
acceleration,capacitance,mass,permittivity,torque
m·a·τ·C_e·ε
em,mechanics
m·a·τ⁻¹·C_e·ε⁻¹
m = k₀ · a⁻¹·τ·C_e⁻¹·ε
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "torque": "-1", "capacitance": "1", "permittivity": "-1"}
5
acceleration,capacitance,conductivity,mass,torque
m·a·τ·C_e·σ
em,mechanics
m³·a⁴·τ⁻³·C_e²·σ⁻²
C_e = k₀ · m⁻³ᐟ²·a⁻²·τ³ᐟ²·σ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-3", "capacitance": "2", "conductivity": "-2"}
5
acceleration,capacitance,mass,resistivity,torque
m·a·τ·C_e·ρ_e
em,mechanics
m³·a⁴·τ⁻³·C_e²·ρ_e²
C_e = k₀ · m⁻³ᐟ²·a⁻²·τ³ᐟ²·ρ_e⁻¹
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-3", "capacitance": "2", "resistivity": "2"}
5
acceleration,efield,inductance,mass,torque
m·a·τ·L_e·E_f
em,mechanics
m³·a⁴·τ⁻²·L_e·E_f⁻²
L_e = k₀ · m⁻³·a⁻⁴·τ²·E_f²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "torque": "-2", "inductance": "1", "efield": "-2"}
5
acceleration,bfield,inductance,mass,torque
m·a·τ·L_e·B
em,mechanics
m⁴·a⁴·τ⁻³·L_e·B⁻²
L_e = k₀ · m⁻⁴·a⁻⁴·τ³·B²
null
0
2
4
14
11.4
-1.9
false
{"mass": "4", "acceleration": "4", "torque": "-3", "inductance": "1", "bfield": "-2"}
5
acceleration,inductance,mass,permeability,torque
m·a·τ·L_e·μ₀
em,mechanics
m·a·τ⁻¹·L_e·μ₀⁻¹
m = k₀ · a⁻¹·τ·L_e⁻¹·μ₀
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "torque": "-1", "inductance": "1", "permeability": "-1"}
5
acceleration,elem_charge,inductance,mass,torque
m·a·τ·L_e·e
constants,em,mechanics
m·a²·τ⁻²·L_e·e²
m = k₀ · a⁻²·τ²·L_e⁻¹·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "torque": "-2", "inductance": "1", "elem_charge": "2"}
5
acceleration,efield,mag_flux,mass,torque
m·a·τ·E_f·Φ
em,mechanics
m³·a⁴·τ⁻³·E_f⁻²·Φ²
E_f = k₀ · m³ᐟ²·a²·τ⁻³ᐟ²·Φ
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "torque": "-3", "efield": "-2", "mag_flux": "2"}
5
acceleration,efield,mass,permittivity,torque
m·a·τ·E_f·ε
em,mechanics
m³·a³·τ⁻²·E_f⁻²·ε⁻¹
ε = k₀ · m³·a³·τ⁻²·E_f⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "torque": "-2", "efield": "-2", "permittivity": "-1"}
5
acceleration,efield,mass,permeability,torque
m·a·τ·E_f·μ₀
em,mechanics
m²·a³·τ⁻¹·E_f⁻²·μ₀
τ = k₀ · m²·a³·E_f⁻²·μ₀
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "acceleration": "3", "torque": "-1", "efield": "-2", "permeability": "1"}
5
acceleration,conductivity,efield,mass,torque
m·a·τ·E_f·σ
em,mechanics
m⁷·a⁸·τ⁻⁵·E_f⁻⁴·σ⁻²
σ = k₀ · m⁷ᐟ²·a⁴·τ⁻⁵ᐟ²·E_f⁻²
null
0
2
8
26
21.8
-12.3
false
{"mass": "7", "acceleration": "8", "torque": "-5", "efield": "-4", "conductivity": "-2"}
5
acceleration,efield,mass,resistivity,torque
m·a·τ·E_f·ρ_e
em,mechanics
m⁷·a⁸·τ⁻⁵·E_f⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁷ᐟ²·a⁻⁴·τ⁵ᐟ²·E_f²
null
0
2
8
26
21.8
-12.3
false
{"mass": "7", "acceleration": "8", "torque": "-5", "efield": "-4", "resistivity": "2"}
5
acceleration,bfield,mag_flux,mass,torque
m·a·τ·B·Φ
em,mechanics
m²·a²·τ⁻²·B⁻¹·Φ
B = k₀ · m²·a²·τ⁻²·Φ
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "torque": "-2", "bfield": "-1", "mag_flux": "1"}