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
action,lum_intensity,luminance,mass,velocity
m·v·S·I_v·L_v
mechanics,photometry
m²·v²·S⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·v⁻²·S²·L_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "action": "-2", "lum_intensity": "1", "luminance": "-1"}
4
action,grav_const,mass,velocity
m·v·S·G
constants,mechanics
m²·v⁻¹·S⁻¹·G
v = k₀ · m²·S⁻¹·G
null
1
2
2
5
3.8
5.7
true
{"mass": "2", "velocity": "-1", "action": "-1", "grav_const": "1"}
4
inertia,mass,pressure,velocity
m·v·J·P_p
mechanics
m⁵·v⁴·J⁻³·P_p⁻²
P_p = k₀ · m⁵ᐟ²·v²·J⁻³ᐟ²
null
0
1
5
14
11
-1
false
{"mass": "5", "velocity": "4", "inertia": "-3", "pressure": "-2"}
4
inertia,mass,velocity,viscosity
m·v·J·μ
mechanics
m²·v·J⁻¹·μ⁻¹
v = k₀ · m⁻²·J·μ
null
0
1
2
5
3.2
6.8
true
{"mass": "2", "velocity": "1", "inertia": "-1", "viscosity": "-1"}
4
inertia,kin_viscosity,mass,velocity
m·v·J·ν
mechanics
m·v⁻²·J⁻¹·ν²
m = k₀ · v²·J·ν⁻²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "-2", "inertia": "-1", "kin_viscosity": "2"}
4
inertia,mass,omega,velocity
m·v·J·ω
mechanics
m·v²·J⁻¹·ω⁻²
m = k₀ · v⁻²·J·ω²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "2", "inertia": "-1", "omega": "-2"}
4
frequency,inertia,mass,velocity
m·v·J·f
mechanics
m·v²·J⁻¹·f⁻²
m = k₀ · v⁻²·J·f²
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "2", "inertia": "-1", "frequency": "-2"}
4
inertia,mass,stiffness,velocity
m·v·J·k
mechanics
m²·v²·J⁻¹·k⁻¹
J = k₀ · m²·v²·k⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "velocity": "2", "inertia": "-1", "stiffness": "-1"}
4
inertia,mass,surf_tension,velocity
m·v·J·γ
mechanics
m²·v²·J⁻¹·γ⁻¹
J = k₀ · m²·v²·γ⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "2", "velocity": "2", "inertia": "-1", "surf_tension": "-1"}
4
flowrate,inertia,mass,velocity
m·v·J·Q
mechanics
m·v⁻¹·J⁻¹·Q
m = k₀ · v·J·Q⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "velocity": "-1", "inertia": "-1", "flowrate": "1"}
5
inertia,mass,temperature,thermal_cond,velocity
m·v·J·Θ·κ
mechanics,thermo
m²·v³·J⁻¹·Θ⁻¹·κ⁻¹
J = k₀ · m²·v³·Θ⁻¹·κ⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "velocity": "3", "inertia": "-1", "temperature": "-1", "thermal_cond": "-1"}
6
concentration,gas_constant,inertia,mass,temperature,velocity
m·v·J·Θ·c_n·R
chemistry,mechanics,thermo
m⁵·v⁴·J⁻³·Θ⁻²·c_n⁻²·R⁻²
Θ = k₀ · m⁵ᐟ²·v²·J⁻³ᐟ²·c_n⁻¹·R⁻¹
null
0
3
5
18
15.6
-6.6
false
{"mass": "5", "velocity": "4", "inertia": "-3", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,gas_constant,inertia,mass,temperature,velocity
m·v·J·Θ·R·z
chemistry,mechanics,thermo
m³·v⁶·J⁻¹·Θ⁻²·R⁻²·z⁻²
J = k₀ · m³·v⁶·Θ⁻²·R⁻²·z⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "velocity": "6", "inertia": "-1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
entropy,inertia,mass,thermal_cond,velocity
m·v·J·S_e·κ
mechanics,thermo
m·v·J⁻¹·S_e·κ⁻¹
m = k₀ · v⁻¹·J·S_e⁻¹·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "inertia": "-1", "entropy": "1", "thermal_cond": "-1"}
6
cat_activity,entropy,gas_constant,inertia,mass,velocity
m·v·J·S_e·R·z
chemistry,mechanics,thermo
m·v²·J⁻¹·S_e²·R⁻²·z⁻²
m = k₀ · v⁻²·J·S_e⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "inertia": "-1", "entropy": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
heat_capacity,inertia,mass,thermal_cond,velocity
m·v·J·C·κ
mechanics,thermo
m·v·J⁻¹·C·κ⁻¹
m = k₀ · v⁻¹·J·C⁻¹·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "inertia": "-1", "heat_capacity": "1", "thermal_cond": "-1"}
6
cat_activity,gas_constant,heat_capacity,inertia,mass,velocity
m·v·J·C·R·z
chemistry,mechanics,thermo
m·v²·J⁻¹·C²·R⁻²·z⁻²
m = k₀ · v⁻²·J·C⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "inertia": "-1", "heat_capacity": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
inertia,mass,specific_heat,thermal_cond,velocity
m·v·J·c·κ
mechanics,thermo
m²·v·J⁻¹·c·κ⁻¹
v = k₀ · m⁻²·J·c⁻¹·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "2", "velocity": "1", "inertia": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
cat_activity,gas_constant,inertia,mass,specific_heat,velocity
m·v·J·c·R·z
chemistry,mechanics,thermo
m³·v²·J⁻¹·c²·R⁻²·z⁻²
J = k₀ · m³·v²·c²·R⁻²·z⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "velocity": "2", "inertia": "-1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
expansion,inertia,mass,thermal_cond,velocity
m·v·J·κ·β
mechanics,thermo
m²·v³·J⁻¹·κ⁻¹·β
J = k₀ · m²·v³·κ⁻¹·β
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "velocity": "3", "inertia": "-1", "thermal_cond": "-1", "expansion": "1"}
6
amount,gas_constant,inertia,mass,thermal_cond,velocity
m·v·J·κ·n·R
chemistry,mechanics,thermo
m·v·J⁻¹·κ⁻¹·n·R
m = k₀ · v⁻¹·J·κ·n⁻¹·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "inertia": "-1", "thermal_cond": "-1", "amount": "1", "gas_constant": "1"}
6
gas_constant,inertia,mass,molar_mass,thermal_cond,velocity
m·v·J·κ·M_m·R
chemistry,mechanics,thermo
m²·v·J⁻¹·κ⁻¹·M_m⁻¹·R
v = k₀ · m⁻²·J·κ·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "2", "velocity": "1", "inertia": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
concentration,gas_constant,inertia,mass,thermal_cond,velocity
m·v·J·κ·c_n·R
chemistry,mechanics,thermo
m·v⁻²·J⁻¹·κ²·c_n⁻²·R⁻²
m = k₀ · v²·J·κ⁻²·c_n²·R²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "-2", "inertia": "-1", "thermal_cond": "2", "concentration": "-2", "gas_constant": "-2"}
6
gas_constant,inertia,mass,molar_energy,thermal_cond,velocity
m·v·J·κ·E_m·R
chemistry,mechanics,thermo
m²·v³·J⁻¹·κ⁻¹·E_m⁻¹·R
J = k₀ · m²·v³·κ⁻¹·E_m⁻¹·R
null
0
3
3
9
8.3
0.7
false
{"mass": "2", "velocity": "3", "inertia": "-1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
avogadro,gas_constant,inertia,mass,thermal_cond,velocity
m·v·J·κ·R·N_A
chemistry,constants,mechanics,thermo
m·v·J⁻¹·κ⁻¹·R·N_A⁻¹
m = k₀ · v⁻¹·J·κ·R⁻¹·N_A
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "velocity": "1", "inertia": "-1", "thermal_cond": "-1", "gas_constant": "1", "avogadro": "-1"}
5
boltzmann,inertia,mass,thermal_cond,velocity
m·v·J·κ·k_B
constants,mechanics,thermo
m·v·J⁻¹·κ⁻¹·k_B
m = k₀ · v⁻¹·J·κ·k_B⁻¹
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "inertia": "-1", "thermal_cond": "-1", "boltzmann": "1"}
4
inertia,mass,thermal_diff,velocity
m·v·J·α
mechanics,thermo
m·v⁻²·J⁻¹·α²
m = k₀ · v²·J·α⁻²
null
0
2
2
6
4.5
5
true
{"mass": "1", "velocity": "-2", "inertia": "-1", "thermal_diff": "2"}
6
concentration,expansion,gas_constant,inertia,mass,velocity
m·v·J·β·c_n·R
chemistry,mechanics,thermo
m⁵·v⁴·J⁻³·β²·c_n⁻²·R⁻²
β = k₀ · m⁻⁵ᐟ²·v⁻²·J³ᐟ²·c_n·R
null
0
3
5
18
15.6
-6.6
false
{"mass": "5", "velocity": "4", "inertia": "-3", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
6
cat_activity,expansion,gas_constant,inertia,mass,velocity
m·v·J·β·R·z
chemistry,mechanics,thermo
m³·v⁶·J⁻¹·β²·R⁻²·z⁻²
J = k₀ · m³·v⁶·β²·R⁻²·z⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "3", "velocity": "6", "inertia": "-1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
charge,current,inertia,mass,velocity
m·v·J·q·i
em,mechanics
m·v²·J⁻¹·q²·i⁻²
m = k₀ · v⁻²·J·q⁻²·i²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "charge": "2", "current": "-2"}
5
charge,inertia,mass,resistance,velocity
m·v·J·q·R
em,mechanics
m·v²·J·q⁻⁴·R⁻²
m = k₀ · v⁻²·J⁻¹·q⁴·R²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "2", "inertia": "1", "charge": "-4", "resistance": "-2"}
5
charge,efield,inertia,mass,velocity
m·v·J·q·E_f
em,mechanics
m³·v⁴·J⁻¹·q⁻²·E_f⁻²
J = k₀ · m³·v⁴·q⁻²·E_f⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "4", "inertia": "-1", "charge": "-2", "efield": "-2"}
5
bfield,charge,inertia,mass,velocity
m·v·J·q·B
em,mechanics
m³·v²·J⁻¹·q⁻²·B⁻²
J = k₀ · m³·v²·q⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "velocity": "2", "inertia": "-1", "charge": "-2", "bfield": "-2"}
5
charge,inertia,mag_flux,mass,velocity
m·v·J·q·Φ
em,mechanics
m·v²·J·q⁻²·Φ⁻²
m = k₀ · v⁻²·J⁻¹·q²·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "1", "charge": "-2", "mag_flux": "-2"}
5
charge,inertia,mass,permittivity,velocity
m·v·J·q·ε
em,mechanics
m·v⁴·J·q⁻⁴·ε²
m = k₀ · v⁻⁴·J⁻¹·q⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "4", "inertia": "1", "charge": "-4", "permittivity": "2"}
5
current,inertia,mass,velocity,voltage
m·v·J·i·U
em,mechanics
m³·v⁶·J⁻¹·i⁻²·U⁻²
J = k₀ · m³·v⁶·i⁻²·U⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "velocity": "6", "inertia": "-1", "current": "-2", "voltage": "-2"}
5
current,inertia,mass,resistance,velocity
m·v·J·i·R
em,mechanics
m³·v⁶·J⁻¹·i⁻⁴·R⁻²
J = k₀ · m³·v⁶·i⁻⁴·R⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "inertia": "-1", "current": "-4", "resistance": "-2"}
5
capacitance,current,inertia,mass,velocity
m·v·J·i·C_e
em,mechanics
m²·v⁴·J⁻¹·i⁻²·C_e
J = k₀ · m²·v⁴·i⁻²·C_e
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "inertia": "-1", "current": "-2", "capacitance": "1"}
5
current,efield,inertia,mass,velocity
m·v·J·i·E_f
em,mechanics
m²·v³·J⁻¹·i⁻¹·E_f⁻¹
J = k₀ · m²·v³·i⁻¹·E_f⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "velocity": "3", "inertia": "-1", "current": "-1", "efield": "-1"}
5
bfield,current,inertia,mass,velocity
m·v·J·i·B
em,mechanics
m²·v²·J⁻¹·i⁻¹·B⁻¹
J = k₀ · m²·v²·i⁻¹·B⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "velocity": "2", "inertia": "-1", "current": "-1", "bfield": "-1"}
5
current,inertia,mass,permittivity,velocity
m·v·J·i·ε
em,mechanics
m³·v⁸·J⁻¹·i⁻⁴·ε²
J = k₀ · m³·v⁸·i⁻⁴·ε²
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "velocity": "8", "inertia": "-1", "current": "-4", "permittivity": "2"}
5
current,inertia,mass,permeability,velocity
m·v·J·i·μ₀
em,mechanics
m³·v⁴·J⁻¹·i⁻⁴·μ₀⁻²
J = k₀ · m³·v⁴·i⁻⁴·μ₀⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "inertia": "-1", "current": "-4", "permeability": "-2"}
5
current,elem_charge,inertia,mass,velocity
m·v·J·i·e
constants,em,mechanics
m·v²·J⁻¹·i⁻²·e²
m = k₀ · v⁻²·J·i²·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "inertia": "-1", "current": "-2", "elem_charge": "2"}
5
inertia,mass,resistance,velocity,voltage
m·v·J·U·R
em,mechanics
m³·v⁶·J⁻¹·U⁻⁴·R²
J = k₀ · m³·v⁶·U⁻⁴·R²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "inertia": "-1", "voltage": "-4", "resistance": "2"}
5
inductance,inertia,mass,velocity,voltage
m·v·J·U·L_e
em,mechanics
m²·v⁴·J⁻¹·U⁻²·L_e
J = k₀ · m²·v⁴·U⁻²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "velocity": "4", "inertia": "-1", "voltage": "-2", "inductance": "1"}
5
bfield,inertia,mass,velocity,voltage
m·v·J·U·B
em,mechanics
m·v⁻²·J⁻¹·U²·B⁻²
m = k₀ · v²·J·U⁻²·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "inertia": "-1", "voltage": "2", "bfield": "-2"}
5
inertia,mag_flux,mass,velocity,voltage
m·v·J·U·Φ
em,mechanics
m·v²·J⁻¹·U⁻²·Φ²
m = k₀ · v⁻²·J·U²·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "voltage": "-2", "mag_flux": "2"}
5
inertia,mass,permittivity,velocity,voltage
m·v·J·U·ε
em,mechanics
m³·v⁴·J⁻¹·U⁻⁴·ε⁻²
J = k₀ · m³·v⁴·U⁻⁴·ε⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "inertia": "-1", "voltage": "-4", "permittivity": "-2"}
5
inertia,mass,permeability,velocity,voltage
m·v·J·U·μ₀
em,mechanics
m³·v⁸·J⁻¹·U⁻⁴·μ₀²
J = k₀ · m³·v⁸·U⁻⁴·μ₀²
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "velocity": "8", "inertia": "-1", "voltage": "-4", "permeability": "2"}
5
conductivity,inertia,mass,velocity,voltage
m·v·J·U·σ
em,mechanics
m²·v³·J⁻¹·U⁻²·σ⁻¹
J = k₀ · m²·v³·U⁻²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "inertia": "-1", "voltage": "-2", "conductivity": "-1"}
5
inertia,mass,resistivity,velocity,voltage
m·v·J·U·ρ_e
em,mechanics
m²·v³·J⁻¹·U⁻²·ρ_e
J = k₀ · m²·v³·U⁻²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "inertia": "-1", "voltage": "-2", "resistivity": "1"}
5
capacitance,inertia,mass,resistance,velocity
m·v·J·R·C_e
em,mechanics
m·v²·J⁻¹·R²·C_e²
m = k₀ · v⁻²·J·R⁻²·C_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "resistance": "2", "capacitance": "2"}
5
inductance,inertia,mass,resistance,velocity
m·v·J·R·L_e
em,mechanics
m·v²·J⁻¹·R⁻²·L_e²
m = k₀ · v⁻²·J·R²·L_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "resistance": "-2", "inductance": "2"}
5
efield,inertia,mass,resistance,velocity
m·v·J·R·E_f
em,mechanics
m⁵·v⁶·J⁻³·R²·E_f⁻⁴
R = k₀ · m⁻⁵ᐟ²·v⁻³·J³ᐟ²·E_f²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "velocity": "6", "inertia": "-3", "resistance": "2", "efield": "-4"}
5
bfield,inertia,mass,resistance,velocity
m·v·J·R·B
em,mechanics
m⁵·v²·J⁻³·R²·B⁻⁴
v = k₀ · m⁻⁵ᐟ²·J³ᐟ²·R⁻¹·B²
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "velocity": "2", "inertia": "-3", "resistance": "2", "bfield": "-4"}
5
inertia,mag_flux,mass,resistance,velocity
m·v·J·R·Φ
em,mechanics
m·v²·J·R²·Φ⁻⁴
m = k₀ · v⁻²·J⁻¹·R⁻²·Φ⁴
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "2", "inertia": "1", "resistance": "2", "mag_flux": "-4"}
5
elem_charge,inertia,mass,resistance,velocity
m·v·J·R·e
constants,em,mechanics
m·v²·J·R⁻²·e⁻⁴
m = k₀ · v⁻²·J⁻¹·R²·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "velocity": "2", "inertia": "1", "resistance": "-2", "elem_charge": "-4"}
5
capacitance,inductance,inertia,mass,velocity
m·v·J·C_e·L_e
em,mechanics
m·v²·J⁻¹·C_e·L_e
m = k₀ · v⁻²·J·C_e⁻¹·L_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "inertia": "-1", "capacitance": "1", "inductance": "1"}
5
capacitance,efield,inertia,mass,velocity
m·v·J·C_e·E_f
em,mechanics
m²·v²·J⁻¹·C_e⁻¹·E_f⁻²
J = k₀ · m²·v²·C_e⁻¹·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "inertia": "-1", "capacitance": "-1", "efield": "-2"}
5
capacitance,inertia,mass,permeability,velocity
m·v·J·C_e·μ₀
em,mechanics
m·v⁴·J⁻¹·C_e²·μ₀²
m = k₀ · v⁻⁴·J·C_e⁻²·μ₀⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "inertia": "-1", "capacitance": "2", "permeability": "2"}
5
capacitance,conductivity,inertia,mass,velocity
m·v·J·C_e·σ
em,mechanics
m·v·J⁻¹·C_e·σ⁻¹
m = k₀ · v⁻¹·J·C_e⁻¹·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "inertia": "-1", "capacitance": "1", "conductivity": "-1"}
5
capacitance,inertia,mass,resistivity,velocity
m·v·J·C_e·ρ_e
em,mechanics
m·v·J⁻¹·C_e·ρ_e
m = k₀ · v⁻¹·J·C_e⁻¹·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "inertia": "-1", "capacitance": "1", "resistivity": "1"}
5
efield,inductance,inertia,mass,velocity
m·v·J·L_e·E_f
em,mechanics
m³·v⁴·J⁻²·L_e·E_f⁻²
L_e = k₀ · m⁻³·v⁻⁴·J²·E_f²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "4", "inertia": "-2", "inductance": "1", "efield": "-2"}
5
bfield,inductance,inertia,mass,velocity
m·v·J·L_e·B
em,mechanics
m³·v²·J⁻²·L_e·B⁻²
L_e = k₀ · m⁻³·v⁻²·J²·B²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "velocity": "2", "inertia": "-2", "inductance": "1", "bfield": "-2"}
5
inductance,inertia,mass,permittivity,velocity
m·v·J·L_e·ε
em,mechanics
m·v⁴·J⁻¹·L_e²·ε²
m = k₀ · v⁻⁴·J·L_e⁻²·ε⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "inertia": "-1", "inductance": "2", "permittivity": "2"}
5
efield,inertia,mag_flux,mass,velocity
m·v·J·E_f·Φ
em,mechanics
m·v·J⁻¹·E_f⁻¹·Φ
m = k₀ · v⁻¹·J·E_f·Φ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "inertia": "-1", "efield": "-1", "mag_flux": "1"}
5
efield,inertia,mass,permittivity,velocity
m·v·J·E_f·ε
em,mechanics
m⁵·v⁴·J⁻³·E_f⁻⁴·ε⁻²
ε = k₀ · m⁵ᐟ²·v²·J⁻³ᐟ²·E_f⁻²
null
0
2
5
18
14.7
-5.2
false
{"mass": "5", "velocity": "4", "inertia": "-3", "efield": "-4", "permittivity": "-2"}
5
efield,inertia,mass,permeability,velocity
m·v·J·E_f·μ₀
em,mechanics
m⁵·v⁸·J⁻³·E_f⁻⁴·μ₀²
μ₀ = k₀ · m⁻⁵ᐟ²·v⁻⁴·J³ᐟ²·E_f²
null
0
2
8
22
19
-9.5
false
{"mass": "5", "velocity": "8", "inertia": "-3", "efield": "-4", "permeability": "2"}
5
conductivity,efield,inertia,mass,velocity
m·v·J·E_f·σ
em,mechanics
m³·v³·J⁻²·E_f⁻²·σ⁻¹
σ = k₀ · m³·v³·J⁻²·E_f⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "velocity": "3", "inertia": "-2", "efield": "-2", "conductivity": "-1"}
5
efield,inertia,mass,resistivity,velocity
m·v·J·E_f·ρ_e
em,mechanics
m³·v³·J⁻²·E_f⁻²·ρ_e
ρ_e = k₀ · m⁻³·v⁻³·J²·E_f²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "velocity": "3", "inertia": "-2", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,inertia,mass,velocity
m·v·J·E_f·e
constants,em,mechanics
m³·v⁴·J⁻¹·E_f⁻²·e⁻²
J = k₀ · m³·v⁴·E_f⁻²·e⁻²
null
1
3
4
12
10.6
-1.6
false
{"mass": "3", "velocity": "4", "inertia": "-1", "efield": "-2", "elem_charge": "-2"}
5
bfield,inertia,mass,permeability,velocity
m·v·J·B·μ₀
em,mechanics
m⁵·v⁴·J⁻³·B⁻⁴·μ₀²
μ₀ = k₀ · m⁻⁵ᐟ²·v⁻²·J³ᐟ²·B²
null
0
2
5
18
14.7
-5.2
false
{"mass": "5", "velocity": "4", "inertia": "-3", "bfield": "-4", "permeability": "2"}
5
bfield,conductivity,inertia,mass,velocity
m·v·J·B·σ
em,mechanics
m³·v·J⁻²·B⁻²·σ⁻¹
v = k₀ · m⁻³·J²·B²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "3", "velocity": "1", "inertia": "-2", "bfield": "-2", "conductivity": "-1"}
5
bfield,inertia,mass,resistivity,velocity
m·v·J·B·ρ_e
em,mechanics
m³·v·J⁻²·B⁻²·ρ_e
v = k₀ · m⁻³·J²·B²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "3", "velocity": "1", "inertia": "-2", "bfield": "-2", "resistivity": "1"}
5
bfield,elem_charge,inertia,mass,velocity
m·v·J·B·e
constants,em,mechanics
m³·v²·J⁻¹·B⁻²·e⁻²
J = k₀ · m³·v²·B⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "3", "velocity": "2", "inertia": "-1", "bfield": "-2", "elem_charge": "-2"}
5
inertia,mag_flux,mass,permeability,velocity
m·v·J·Φ·μ₀
em,mechanics
m·v⁴·J·Φ⁻⁴·μ₀²
m = k₀ · v⁻⁴·J⁻¹·Φ⁴·μ₀⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "4", "inertia": "1", "mag_flux": "-4", "permeability": "2"}
5
elem_charge,inertia,mag_flux,mass,velocity
m·v·J·Φ·e
constants,em,mechanics
m·v²·J·Φ⁻²·e⁻²
m = k₀ · v⁻²·J⁻¹·Φ²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "inertia": "1", "mag_flux": "-2", "elem_charge": "-2"}
5
conductivity,inertia,mass,permittivity,velocity
m·v·J·ε·σ
em,mechanics
m·v²·J⁻¹·ε²·σ⁻²
m = k₀ · v⁻²·J·ε⁻²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "permittivity": "2", "conductivity": "-2"}
5
inertia,mass,permittivity,resistivity,velocity
m·v·J·ε·ρ_e
em,mechanics
m·v²·J⁻¹·ε²·ρ_e²
m = k₀ · v⁻²·J·ε⁻²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "permittivity": "2", "resistivity": "2"}
5
elem_charge,inertia,mass,permittivity,velocity
m·v·J·ε·e
constants,em,mechanics
m·v⁴·J·ε²·e⁻⁴
m = k₀ · v⁻⁴·J⁻¹·ε⁻²·e⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "velocity": "4", "inertia": "1", "permittivity": "2", "elem_charge": "-4"}
5
conductivity,inertia,mass,permeability,velocity
m·v·J·μ₀·σ
em,mechanics
m·v⁻²·J⁻¹·μ₀⁻²·σ⁻²
m = k₀ · v²·J·μ₀²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "inertia": "-1", "permeability": "-2", "conductivity": "-2"}
5
inertia,mass,permeability,resistivity,velocity
m·v·J·μ₀·ρ_e
em,mechanics
m·v⁻²·J⁻¹·μ₀⁻²·ρ_e²
m = k₀ · v²·J·μ₀²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "inertia": "-1", "permeability": "-2", "resistivity": "2"}
5
amount,cat_activity,inertia,mass,velocity
m·v·J·n·z
chemistry,mechanics
m·v²·J⁻¹·n²·z⁻²
m = k₀ · v⁻²·J·n⁻²·z²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "inertia": "-1", "amount": "2", "cat_activity": "-2"}
5
cat_activity,inertia,mass,molar_mass,velocity
m·v·J·M_m·z
chemistry,mechanics
m³·v²·J⁻¹·M_m⁻²·z⁻²
J = k₀ · m³·v²·M_m⁻²·z⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "velocity": "2", "inertia": "-1", "molar_mass": "-2", "cat_activity": "-2"}
5
concentration,inertia,mass,molar_energy,velocity
m·v·J·c_n·E_m
chemistry,mechanics
m⁵·v⁴·J⁻³·c_n⁻²·E_m⁻²
c_n = k₀ · m⁵ᐟ²·v²·J⁻³ᐟ²·E_m⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "velocity": "4", "inertia": "-3", "concentration": "-2", "molar_energy": "-2"}
5
cat_activity,concentration,inertia,mass,velocity
m·v·J·c_n·z
chemistry,mechanics
m·v⁻¹·J⁻¹·c_n⁻¹·z
m = k₀ · v·J·c_n·z⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "-1", "inertia": "-1", "concentration": "-1", "cat_activity": "1"}
5
cat_activity,inertia,mass,molar_energy,velocity
m·v·J·E_m·z
chemistry,mechanics
m³·v⁶·J⁻¹·E_m⁻²·z⁻²
J = k₀ · m³·v⁶·E_m⁻²·z⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "velocity": "6", "inertia": "-1", "molar_energy": "-2", "cat_activity": "-2"}
6
boltzmann,cat_activity,gas_constant,inertia,mass,velocity
m·v·J·R·z·k_B
chemistry,constants,mechanics
m·v²·J⁻¹·R⁻²·z⁻²·k_B²
m = k₀ · v⁻²·J·R²·z²·k_B⁻²
null
1
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "inertia": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
5
avogadro,cat_activity,inertia,mass,velocity
m·v·J·z·N_A
chemistry,constants,mechanics
m·v²·J⁻¹·z⁻²·N_A⁻²
m = k₀ · v⁻²·J·z²·N_A²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "inertia": "-1", "cat_activity": "-2", "avogadro": "-2"}
4
grav_const,inertia,mass,velocity
m·v·J·G
constants,mechanics
m³·v⁻⁴·J⁻¹·G²
J = k₀ · m³·v⁻⁴·G²
null
1
2
4
10
8.3
1.2
false
{"mass": "3", "velocity": "-4", "inertia": "-1", "grav_const": "2"}
4
inertia,mass,planck,velocity
m·v·J·h
constants,mechanics
m·v²·J·h⁻²
m = k₀ · v⁻²·J⁻¹·h²
null
1
2
2
6
4.5
5
true
{"mass": "1", "velocity": "2", "inertia": "1", "planck": "-2"}
4
mass,pressure,velocity,viscosity
m·v·P_p·μ
mechanics
m·v⁻¹·P_p²·μ⁻³
m = k₀ · v·P_p⁻²·μ³
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "velocity": "-1", "pressure": "2", "viscosity": "-3"}
4
kin_viscosity,mass,pressure,velocity
m·v·P_p·ν
mechanics
m·v⁵·P_p⁻¹·ν⁻³
m = k₀ · v⁻⁵·P_p·ν³
null
0
1
5
10
8.2
1.8
false
{"mass": "1", "velocity": "5", "pressure": "-1", "kin_viscosity": "-3"}
4
mass,omega,pressure,velocity
m·v·P_p·ω
mechanics
m·v⁻¹·P_p⁻¹·ω³
m = k₀ · v·P_p·ω⁻³
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "-1", "pressure": "-1", "omega": "3"}
4
frequency,mass,pressure,velocity
m·v·P_p·f
mechanics
m·v⁻¹·P_p⁻¹·f³
m = k₀ · v·P_p·f⁻³
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "-1", "pressure": "-1", "frequency": "3"}
4
mass,pressure,stiffness,velocity
m·v·P_p·k
mechanics
m·v²·P_p²·k⁻³
m = k₀ · v⁻²·P_p⁻²·k³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "velocity": "2", "pressure": "2", "stiffness": "-3"}
4
mass,pressure,surf_tension,velocity
m·v·P_p·γ
mechanics
m·v²·P_p²·γ⁻³
m = k₀ · v⁻²·P_p⁻²·γ³
null
0
1
3
8
5.8
4.2
true
{"mass": "1", "velocity": "2", "pressure": "2", "surf_tension": "-3"}
4
area,mass,pressure,velocity
m·v·P_p·A
mechanics
m²·v⁴·P_p⁻²·A⁻³
m = k₀ · v⁻²·P_p·A³ᐟ²
null
0
1
4
11
8.4
1.6
false
{"mass": "2", "velocity": "4", "pressure": "-2", "area": "-3"}
4
mass,pressure,velocity,volume
m·v·P_p·V
mechanics
m·v²·P_p⁻¹·V⁻¹
m = k₀ · v⁻²·P_p·V
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "2", "pressure": "-1", "volume": "-1"}
4
flowrate,mass,pressure,velocity
m·v·P_p·Q
mechanics
m²·v⁷·P_p⁻²·Q⁻³
m = k₀ · v⁻⁷ᐟ²·P_p·Q³ᐟ²
null
0
1
7
14
12
-2
false
{"mass": "2", "velocity": "7", "pressure": "-2", "flowrate": "-3"}