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
4
acceleration,inertia,mass,thermal_diff
m·a·J·α
mechanics,thermo
m³·a⁻²·J⁻³·α⁴
a = k₀ · m³ᐟ²·J⁻³ᐟ²·α²
null
0
2
4
12
9.7
-0.2
false
{"mass": "3", "acceleration": "-2", "inertia": "-3", "thermal_diff": "4"}
6
acceleration,amount,expansion,gas_constant,inertia,mass
m·a·J·β·n·R
chemistry,mechanics,thermo
m·a²·J·β²·n⁻²·R⁻²
m = k₀ · a⁻²·J⁻¹·β⁻²·n²·R²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "inertia": "1", "expansion": "2", "amount": "-2", "gas_constant": "-2"}
6
acceleration,expansion,gas_constant,inertia,mass,molar_mass
m·a·J·β·M_m·R
chemistry,mechanics,thermo
m·a⁻²·J⁻¹·β⁻²·M_m⁻²·R²
m = k₀ · a²·J·β²·M_m²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "expansion": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
acceleration,concentration,expansion,gas_constant,inertia,mass
m·a·J·β·c_n·R
chemistry,mechanics,thermo
m²·a·J⁻¹·β·c_n⁻¹·R⁻¹
a = k₀ · m⁻²·J·β⁻¹·c_n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "2", "acceleration": "1", "inertia": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,expansion,gas_constant,inertia,mass
m·a·J·β·R·z
chemistry,mechanics,thermo
m³·a⁶·J·β⁴·R⁻⁴·z⁻⁴
J = k₀ · m⁻³·a⁻⁶·β⁻⁴·R⁴·z⁴
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "acceleration": "6", "inertia": "1", "expansion": "4", "gas_constant": "-4", "cat_activity": "-4"}
6
acceleration,avogadro,expansion,gas_constant,inertia,mass
m·a·J·β·R·N_A
chemistry,constants,mechanics,thermo
m·a²·J·β²·R⁻²·N_A²
m = k₀ · a⁻²·J⁻¹·β⁻²·R²·N_A⁻²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "acceleration": "2", "inertia": "1", "expansion": "2", "gas_constant": "-2", "avogadro": "2"}
5
acceleration,boltzmann,expansion,inertia,mass
m·a·J·β·k_B
constants,mechanics,thermo
m·a²·J·β²·k_B⁻²
m = k₀ · a⁻²·J⁻¹·β⁻²·k_B²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "inertia": "1", "expansion": "2", "boltzmann": "-2"}
5
acceleration,charge,current,inertia,mass
m·a·J·q·i
em,mechanics
m·a²·J⁻¹·q⁴·i⁻⁴
m = k₀ · a⁻²·J·q⁻⁴·i⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "charge": "4", "current": "-4"}
5
acceleration,charge,inertia,mass,voltage
m·a·J·q·U
em,mechanics
m·a²·J·q⁻²·U⁻²
m = k₀ · a⁻²·J⁻¹·q²·U²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "charge": "-2", "voltage": "-2"}
5
acceleration,charge,inertia,mass,resistance
m·a·J·q·R
em,mechanics
m·a²·J³·q⁻⁸·R⁻⁴
m = k₀ · a⁻²·J⁻³·q⁸·R⁴
null
0
2
8
18
16.2
-6.7
false
{"mass": "1", "acceleration": "2", "inertia": "3", "charge": "-8", "resistance": "-4"}
5
acceleration,capacitance,charge,inertia,mass
m·a·J·q·C_e
em,mechanics
m·a²·J·q⁻⁴·C_e²
m = k₀ · a⁻²·J⁻¹·q⁴·C_e⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "inertia": "1", "charge": "-4", "capacitance": "2"}
5
acceleration,bfield,charge,inertia,mass
m·a·J·q·B
em,mechanics
m⁵·a²·J⁻¹·q⁻⁴·B⁻⁴
J = k₀ · m⁵·a²·q⁻⁴·B⁻⁴
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "acceleration": "2", "inertia": "-1", "charge": "-4", "bfield": "-4"}
5
acceleration,charge,inertia,mag_flux,mass
m·a·J·q·Φ
em,mechanics
m·a²·J³·q⁻⁴·Φ⁻⁴
m = k₀ · a⁻²·J⁻³·q⁴·Φ⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "acceleration": "2", "inertia": "3", "charge": "-4", "mag_flux": "-4"}
5
acceleration,charge,conductivity,inertia,mass
m·a·J·q·σ
em,mechanics
m·a⁻²·J⁻⁵·q⁸·σ⁻⁴
m = k₀ · a²·J⁵·q⁻⁸·σ⁴
null
0
2
8
20
17.6
-8.1
false
{"mass": "1", "acceleration": "-2", "inertia": "-5", "charge": "8", "conductivity": "-4"}
5
acceleration,charge,inertia,mass,resistivity
m·a·J·q·ρ_e
em,mechanics
m·a⁻²·J⁻⁵·q⁸·ρ_e⁴
m = k₀ · a²·J⁵·q⁻⁸·ρ_e⁻⁴
null
0
2
8
20
17.6
-8.1
false
{"mass": "1", "acceleration": "-2", "inertia": "-5", "charge": "8", "resistivity": "4"}
5
acceleration,current,inertia,mass,voltage
m·a·J·i·U
em,mechanics
m³·a⁶·J·i⁻⁴·U⁻⁴
J = k₀ · m⁻³·a⁻⁶·i⁴·U⁴
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "6", "inertia": "1", "current": "-4", "voltage": "-4"}
5
acceleration,current,inertia,mass,resistance
m·a·J·i·R
em,mechanics
m³·a⁶·J·i⁻⁸·R⁻⁴
J = k₀ · m⁻³·a⁻⁶·i⁸·R⁴
null
0
2
8
22
19
-9.5
false
{"mass": "3", "acceleration": "6", "inertia": "1", "current": "-8", "resistance": "-4"}
5
acceleration,current,inductance,inertia,mass
m·a·J·i·L_e
em,mechanics
m·a²·J·i⁻⁴·L_e⁻²
m = k₀ · a⁻²·J⁻¹·i⁴·L_e²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "inertia": "1", "current": "-4", "inductance": "-2"}
5
acceleration,current,efield,inertia,mass
m·a·J·i·E_f
em,mechanics
m⁵·a⁶·J⁻¹·i⁻⁴·E_f⁻⁴
J = k₀ · m⁵·a⁶·i⁻⁴·E_f⁻⁴
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "inertia": "-1", "current": "-4", "efield": "-4"}
5
acceleration,bfield,current,inertia,mass
m·a·J·i·B
em,mechanics
m³·a²·J⁻¹·i⁻²·B⁻²
J = k₀ · m³·a²·i⁻²·B⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "inertia": "-1", "current": "-2", "bfield": "-2"}
5
acceleration,current,inertia,mag_flux,mass
m·a·J·i·Φ
em,mechanics
m·a²·J·i⁻²·Φ⁻²
m = k₀ · a⁻²·J⁻¹·i²·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "current": "-2", "mag_flux": "-2"}
5
acceleration,current,inertia,mass,permittivity
m·a·J·i·ε
em,mechanics
m·a⁴·J·i⁻⁴·ε²
m = k₀ · a⁻⁴·J⁻¹·i⁴·ε⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "4", "inertia": "1", "current": "-4", "permittivity": "2"}
5
acceleration,conductivity,current,inertia,mass
m·a·J·i·σ
em,mechanics
m·a⁶·J³·i⁻⁸·σ⁴
m = k₀ · a⁻⁶·J⁻³·i⁸·σ⁻⁴
null
0
2
8
22
19
-9.5
false
{"mass": "1", "acceleration": "6", "inertia": "3", "current": "-8", "conductivity": "4"}
5
acceleration,current,inertia,mass,resistivity
m·a·J·i·ρ_e
em,mechanics
m·a⁶·J³·i⁻⁸·ρ_e⁻⁴
m = k₀ · a⁻⁶·J⁻³·i⁸·ρ_e⁴
null
0
2
8
22
19
-9.5
false
{"mass": "1", "acceleration": "6", "inertia": "3", "current": "-8", "resistivity": "-4"}
5
acceleration,current,elem_charge,inertia,mass
m·a·J·i·e
constants,em,mechanics
m·a²·J⁻¹·i⁻⁴·e⁴
m = k₀ · a⁻²·J·i⁴·e⁻⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "current": "-4", "elem_charge": "4"}
5
acceleration,inertia,mass,resistance,voltage
m·a·J·U·R
em,mechanics
m³·a⁶·J·U⁻⁸·R⁴
J = k₀ · m⁻³·a⁻⁶·U⁸·R⁻⁴
null
0
2
8
22
19
-9.5
false
{"mass": "3", "acceleration": "6", "inertia": "1", "voltage": "-8", "resistance": "4"}
5
acceleration,capacitance,inertia,mass,voltage
m·a·J·U·C_e
em,mechanics
m·a²·J·U⁻⁴·C_e⁻²
m = k₀ · a⁻²·J⁻¹·U⁴·C_e²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "inertia": "1", "voltage": "-4", "capacitance": "-2"}
5
acceleration,bfield,inertia,mass,voltage
m·a·J·U·B
em,mechanics
m³·a⁻²·J⁻³·U⁴·B⁻⁴
a = k₀ · m³ᐟ²·J⁻³ᐟ²·U²·B⁻²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "-2", "inertia": "-3", "voltage": "4", "bfield": "-4"}
5
acceleration,inertia,mag_flux,mass,voltage
m·a·J·U·Φ
em,mechanics
m·a²·J⁻¹·U⁻⁴·Φ⁴
m = k₀ · a⁻²·J·U⁴·Φ⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "voltage": "-4", "mag_flux": "4"}
5
acceleration,inertia,mass,permeability,voltage
m·a·J·U·μ₀
em,mechanics
m·a⁴·J·U⁻⁴·μ₀²
m = k₀ · a⁻⁴·J⁻¹·U⁴·μ₀⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "4", "inertia": "1", "voltage": "-4", "permeability": "2"}
5
acceleration,conductivity,inertia,mass,voltage
m·a·J·U·σ
em,mechanics
m⁵·a⁶·J⁻¹·U⁻⁸·σ⁻⁴
J = k₀ · m⁵·a⁶·U⁻⁸·σ⁻⁴
null
0
2
8
24
20.4
-10.9
false
{"mass": "5", "acceleration": "6", "inertia": "-1", "voltage": "-8", "conductivity": "-4"}
5
acceleration,inertia,mass,resistivity,voltage
m·a·J·U·ρ_e
em,mechanics
m⁵·a⁶·J⁻¹·U⁻⁸·ρ_e⁴
J = k₀ · m⁵·a⁶·U⁻⁸·ρ_e⁴
null
0
2
8
24
20.4
-10.9
false
{"mass": "5", "acceleration": "6", "inertia": "-1", "voltage": "-8", "resistivity": "4"}
5
acceleration,elem_charge,inertia,mass,voltage
m·a·J·U·e
constants,em,mechanics
m·a²·J·U⁻²·e⁻²
m = k₀ · a⁻²·J⁻¹·U²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "inertia": "1", "voltage": "-2", "elem_charge": "-2"}
5
acceleration,capacitance,inertia,mass,resistance
m·a·J·R·C_e
em,mechanics
m·a²·J⁻¹·R⁴·C_e⁴
m = k₀ · a⁻²·J·R⁻⁴·C_e⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "resistance": "4", "capacitance": "4"}
5
acceleration,inductance,inertia,mass,resistance
m·a·J·R·L_e
em,mechanics
m·a²·J⁻¹·R⁻⁴·L_e⁴
m = k₀ · a⁻²·J·R⁴·L_e⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "resistance": "-4", "inductance": "4"}
5
acceleration,efield,inertia,mass,resistance
m·a·J·R·E_f
em,mechanics
m⁷·a⁶·J⁻³·R⁴·E_f⁻⁸
J = k₀ · m⁷ᐟ³·a²·R⁴ᐟ³·E_f⁻⁸ᐟ³
null
0
2
8
28
23.2
-13.7
false
{"mass": "7", "acceleration": "6", "inertia": "-3", "resistance": "4", "efield": "-8"}
5
acceleration,bfield,inertia,mass,resistance
m·a·J·R·B
em,mechanics
m⁹·a²·J⁻⁵·R⁴·B⁻⁸
a = k₀ · m⁻⁹ᐟ²·J⁵ᐟ²·R⁻²·B⁴
null
0
2
9
28
23.7
-14.2
false
{"mass": "9", "acceleration": "2", "inertia": "-5", "resistance": "4", "bfield": "-8"}
5
acceleration,inertia,mag_flux,mass,resistance
m·a·J·R·Φ
em,mechanics
m·a²·J³·R⁴·Φ⁻⁸
m = k₀ · a⁻²·J⁻³·R⁻⁴·Φ⁸
null
0
2
8
18
16.2
-6.7
false
{"mass": "1", "acceleration": "2", "inertia": "3", "resistance": "4", "mag_flux": "-8"}
5
acceleration,inertia,mass,permittivity,resistance
m·a·J·R·ε
em,mechanics
m·a⁻²·J⁻¹·R⁻⁴·ε⁻⁴
m = k₀ · a²·J·R⁴·ε⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "resistance": "-4", "permittivity": "-4"}
5
acceleration,inertia,mass,permeability,resistance
m·a·J·R·μ₀
em,mechanics
m·a⁻²·J⁻¹·R⁴·μ₀⁻⁴
m = k₀ · a²·J·R⁻⁴·μ₀⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "resistance": "4", "permeability": "-4"}
5
acceleration,elem_charge,inertia,mass,resistance
m·a·J·R·e
constants,em,mechanics
m·a²·J³·R⁻⁴·e⁻⁸
m = k₀ · a⁻²·J⁻³·R⁴·e⁸
null
1
3
8
18
16.8
-7.8
false
{"mass": "1", "acceleration": "2", "inertia": "3", "resistance": "-4", "elem_charge": "-8"}
5
acceleration,capacitance,inductance,inertia,mass
m·a·J·C_e·L_e
em,mechanics
m·a²·J⁻¹·C_e²·L_e²
m = k₀ · a⁻²·J·C_e⁻²·L_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "-1", "capacitance": "2", "inductance": "2"}
5
acceleration,capacitance,efield,inertia,mass
m·a·J·C_e·E_f
em,mechanics
m³·a²·J⁻¹·C_e⁻²·E_f⁻⁴
J = k₀ · m³·a²·C_e⁻²·E_f⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "2", "inertia": "-1", "capacitance": "-2", "efield": "-4"}
5
acceleration,capacitance,conductivity,inertia,mass
m·a·J·C_e·σ
em,mechanics
m³·a²·J⁻³·C_e⁴·σ⁻⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·C_e⁻²·σ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "capacitance": "4", "conductivity": "-4"}
5
acceleration,capacitance,inertia,mass,resistivity
m·a·J·C_e·ρ_e
em,mechanics
m³·a²·J⁻³·C_e⁴·ρ_e⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·C_e⁻²·ρ_e⁻²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "capacitance": "4", "resistivity": "4"}
5
acceleration,capacitance,elem_charge,inertia,mass
m·a·J·C_e·e
constants,em,mechanics
m·a²·J·C_e²·e⁻⁴
m = k₀ · a⁻²·J⁻¹·C_e⁻²·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "acceleration": "2", "inertia": "1", "capacitance": "2", "elem_charge": "-4"}
5
acceleration,efield,inductance,inertia,mass
m·a·J·L_e·E_f
em,mechanics
m²·a²·J⁻¹·L_e·E_f⁻²
J = k₀ · m²·a²·L_e·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "inertia": "-1", "inductance": "1", "efield": "-2"}
5
acceleration,bfield,inductance,inertia,mass
m·a·J·L_e·B
em,mechanics
m⁵·a²·J⁻³·L_e²·B⁻⁴
a = k₀ · m⁻⁵ᐟ²·J³ᐟ²·L_e⁻¹·B²
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "acceleration": "2", "inertia": "-3", "inductance": "2", "bfield": "-4"}
5
acceleration,inductance,inertia,mag_flux,mass
m·a·J·L_e·Φ
em,mechanics
m·a²·J·L_e²·Φ⁻⁴
m = k₀ · a⁻²·J⁻¹·L_e⁻²·Φ⁴
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "inertia": "1", "inductance": "2", "mag_flux": "-4"}
5
acceleration,conductivity,inductance,inertia,mass
m·a·J·L_e·σ
em,mechanics
m·a⁻²·J⁻¹·L_e⁻⁴·σ⁻⁴
m = k₀ · a²·J·L_e⁴·σ⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "inductance": "-4", "conductivity": "-4"}
5
acceleration,inductance,inertia,mass,resistivity
m·a·J·L_e·ρ_e
em,mechanics
m·a⁻²·J⁻¹·L_e⁻⁴·ρ_e⁴
m = k₀ · a²·J·L_e⁴·ρ_e⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "inductance": "-4", "resistivity": "4"}
5
acceleration,bfield,efield,inertia,mass
m·a·J·E_f·B
em,mechanics
m·a⁻²·J⁻¹·E_f⁴·B⁻⁴
m = k₀ · a²·J·E_f⁻⁴·B⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "efield": "4", "bfield": "-4"}
5
acceleration,efield,inertia,mag_flux,mass
m·a·J·E_f·Φ
em,mechanics
m³·a²·J⁻³·E_f⁻⁴·Φ⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·E_f²·Φ⁻²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "efield": "-4", "mag_flux": "4"}
5
acceleration,efield,inertia,mass,permittivity
m·a·J·E_f·ε
em,mechanics
m²·a·J⁻¹·E_f⁻²·ε⁻¹
a = k₀ · m⁻²·J·E_f²·ε
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "inertia": "-1", "efield": "-2", "permittivity": "-1"}
5
acceleration,efield,inertia,mass,permeability
m·a·J·E_f·μ₀
em,mechanics
m³·a⁴·J⁻¹·E_f⁻⁴·μ₀²
J = k₀ · m³·a⁴·E_f⁻⁴·μ₀²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "inertia": "-1", "efield": "-4", "permeability": "2"}
5
acceleration,conductivity,efield,inertia,mass
m·a·J·E_f·σ
em,mechanics
m⁹·a⁶·J⁻⁵·E_f⁻⁸·σ⁻⁴
σ = k₀ · m⁹ᐟ⁴·a³ᐟ²·J⁻⁵ᐟ⁴·E_f⁻²
null
0
2
9
32
26.5
-17
false
{"mass": "9", "acceleration": "6", "inertia": "-5", "efield": "-8", "conductivity": "-4"}
5
acceleration,efield,inertia,mass,resistivity
m·a·J·E_f·ρ_e
em,mechanics
m⁹·a⁶·J⁻⁵·E_f⁻⁸·ρ_e⁴
ρ_e = k₀ · m⁻⁹ᐟ⁴·a⁻³ᐟ²·J⁵ᐟ⁴·E_f²
null
0
2
9
32
26.5
-17
false
{"mass": "9", "acceleration": "6", "inertia": "-5", "efield": "-8", "resistivity": "4"}
5
acceleration,bfield,inertia,mass,permeability
m·a·J·B·μ₀
em,mechanics
m²·a·J⁻¹·B⁻²·μ₀
a = k₀ · m⁻²·J·B²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "inertia": "-1", "bfield": "-2", "permeability": "1"}
5
acceleration,bfield,conductivity,inertia,mass
m·a·J·B·σ
em,mechanics
m¹¹·a²·J⁻⁷·B⁻⁸·σ⁻⁴
a = k₀ · m⁻¹¹ᐟ²·J⁷ᐟ²·B⁴·σ²
null
0
2
11
32
27.5
-18
false
{"mass": "11", "acceleration": "2", "inertia": "-7", "bfield": "-8", "conductivity": "-4"}
5
acceleration,bfield,inertia,mass,resistivity
m·a·J·B·ρ_e
em,mechanics
m¹¹·a²·J⁻⁷·B⁻⁸·ρ_e⁴
a = k₀ · m⁻¹¹ᐟ²·J⁷ᐟ²·B⁴·ρ_e⁻²
null
0
2
11
32
27.5
-18
false
{"mass": "11", "acceleration": "2", "inertia": "-7", "bfield": "-8", "resistivity": "4"}
5
acceleration,bfield,elem_charge,inertia,mass
m·a·J·B·e
constants,em,mechanics
m⁵·a²·J⁻¹·B⁻⁴·e⁻⁴
J = k₀ · m⁵·a²·B⁻⁴·e⁻⁴
null
1
3
5
16
13.9
-4.9
false
{"mass": "5", "acceleration": "2", "inertia": "-1", "bfield": "-4", "elem_charge": "-4"}
5
acceleration,conductivity,inertia,mag_flux,mass
m·a·J·Φ·σ
em,mechanics
m³·a²·J·Φ⁻⁸·σ⁻⁴
J = k₀ · m⁻³·a⁻²·Φ⁸·σ⁴
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "acceleration": "2", "inertia": "1", "mag_flux": "-8", "conductivity": "-4"}
5
acceleration,inertia,mag_flux,mass,resistivity
m·a·J·Φ·ρ_e
em,mechanics
m³·a²·J·Φ⁻⁸·ρ_e⁴
J = k₀ · m⁻³·a⁻²·Φ⁸·ρ_e⁻⁴
null
0
2
8
18
16.2
-6.7
false
{"mass": "3", "acceleration": "2", "inertia": "1", "mag_flux": "-8", "resistivity": "4"}
5
acceleration,elem_charge,inertia,mag_flux,mass
m·a·J·Φ·e
constants,em,mechanics
m·a²·J³·Φ⁻⁴·e⁻⁴
m = k₀ · a⁻²·J⁻³·Φ⁴·e⁴
null
1
3
4
14
12
-3
false
{"mass": "1", "acceleration": "2", "inertia": "3", "mag_flux": "-4", "elem_charge": "-4"}
5
acceleration,inertia,mass,permeability,permittivity
m·a·J·ε·μ₀
em,mechanics
m·a⁻²·J⁻¹·ε⁻²·μ₀⁻²
m = k₀ · a²·J·ε²·μ₀²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "-2", "inertia": "-1", "permittivity": "-2", "permeability": "-2"}
5
acceleration,conductivity,inertia,mass,permittivity
m·a·J·ε·σ
em,mechanics
m·a²·J⁻¹·ε⁴·σ⁻⁴
m = k₀ · a⁻²·J·ε⁻⁴·σ⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "permittivity": "4", "conductivity": "-4"}
5
acceleration,inertia,mass,permittivity,resistivity
m·a·J·ε·ρ_e
em,mechanics
m·a²·J⁻¹·ε⁴·ρ_e⁴
m = k₀ · a⁻²·J·ε⁻⁴·ρ_e⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "permittivity": "4", "resistivity": "4"}
5
acceleration,conductivity,inertia,mass,permeability
m·a·J·μ₀·σ
em,mechanics
m³·a⁻²·J⁻³·μ₀⁻⁴·σ⁻⁴
a = k₀ · m³ᐟ²·J⁻³ᐟ²·μ₀⁻²·σ⁻²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "-2", "inertia": "-3", "permeability": "-4", "conductivity": "-4"}
5
acceleration,inertia,mass,permeability,resistivity
m·a·J·μ₀·ρ_e
em,mechanics
m³·a⁻²·J⁻³·μ₀⁻⁴·ρ_e⁴
a = k₀ · m³ᐟ²·J⁻³ᐟ²·μ₀⁻²·ρ_e²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "-2", "inertia": "-3", "permeability": "-4", "resistivity": "4"}
5
acceleration,conductivity,elem_charge,inertia,mass
m·a·J·σ·e
constants,em,mechanics
m·a⁻²·J⁻⁵·σ⁻⁴·e⁸
m = k₀ · a²·J⁵·σ⁴·e⁻⁸
null
1
3
8
20
18.2
-9.2
false
{"mass": "1", "acceleration": "-2", "inertia": "-5", "conductivity": "-4", "elem_charge": "8"}
5
acceleration,elem_charge,inertia,mass,resistivity
m·a·J·ρ_e·e
constants,em,mechanics
m·a⁻²·J⁻⁵·ρ_e⁴·e⁸
m = k₀ · a²·J⁵·ρ_e⁻⁴·e⁻⁸
null
1
3
8
20
18.2
-9.2
false
{"mass": "1", "acceleration": "-2", "inertia": "-5", "resistivity": "4", "elem_charge": "8"}
5
acceleration,amount,inertia,mass,molar_energy
m·a·J·n·E_m
chemistry,mechanics
m·a²·J·n⁻²·E_m⁻²
m = k₀ · a⁻²·J⁻¹·n²·E_m²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "amount": "-2", "molar_energy": "-2"}
5
acceleration,amount,cat_activity,inertia,mass
m·a·J·n·z
chemistry,mechanics
m·a²·J⁻¹·n⁴·z⁻⁴
m = k₀ · a⁻²·J·n⁻⁴·z⁴
null
0
2
4
12
10
-0.5
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "amount": "4", "cat_activity": "-4"}
5
acceleration,inertia,mass,molar_energy,molar_mass
m·a·J·M_m·E_m
chemistry,mechanics
m·a⁻²·J⁻¹·M_m⁻²·E_m²
m = k₀ · a²·J·M_m²·E_m⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "-2", "inertia": "-1", "molar_mass": "-2", "molar_energy": "2"}
5
acceleration,cat_activity,inertia,mass,molar_mass
m·a·J·M_m·z
chemistry,mechanics
m⁵·a²·J⁻¹·M_m⁻⁴·z⁻⁴
J = k₀ · m⁵·a²·M_m⁻⁴·z⁻⁴
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "acceleration": "2", "inertia": "-1", "molar_mass": "-4", "cat_activity": "-4"}
5
acceleration,concentration,inertia,mass,molar_energy
m·a·J·c_n·E_m
chemistry,mechanics
m²·a·J⁻¹·c_n⁻¹·E_m⁻¹
a = k₀ · m⁻²·J·c_n·E_m
null
0
2
2
6
4.8
4.7
true
{"mass": "2", "acceleration": "1", "inertia": "-1", "concentration": "-1", "molar_energy": "-1"}
5
acceleration,cat_activity,concentration,inertia,mass
m·a·J·c_n·z
chemistry,mechanics
m⁵·a⁻²·J⁻⁵·c_n⁻⁴·z⁴
a = k₀ · m⁵ᐟ²·J⁻⁵ᐟ²·c_n⁻²·z²
null
0
2
5
20
16.1
-6.6
false
{"mass": "5", "acceleration": "-2", "inertia": "-5", "concentration": "-4", "cat_activity": "4"}
6
acceleration,boltzmann,gas_constant,inertia,mass,molar_energy
m·a·J·E_m·R·k_B
chemistry,constants,mechanics
m·a²·J·E_m⁻²·R²·k_B⁻²
m = k₀ · a⁻²·J⁻¹·E_m²·R⁻²·k_B²
null
1
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "inertia": "1", "molar_energy": "-2", "gas_constant": "2", "boltzmann": "-2"}
5
acceleration,cat_activity,inertia,mass,molar_energy
m·a·J·E_m·z
chemistry,mechanics
m³·a⁶·J·E_m⁻⁴·z⁻⁴
J = k₀ · m⁻³·a⁻⁶·E_m⁴·z⁴
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "6", "inertia": "1", "molar_energy": "-4", "cat_activity": "-4"}
5
acceleration,avogadro,inertia,mass,molar_energy
m·a·J·E_m·N_A
chemistry,constants,mechanics
m·a²·J·E_m⁻²·N_A²
m = k₀ · a⁻²·J⁻¹·E_m²·N_A⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "inertia": "1", "molar_energy": "-2", "avogadro": "2"}
6
acceleration,boltzmann,cat_activity,gas_constant,inertia,mass
m·a·J·R·z·k_B
chemistry,constants,mechanics
m·a²·J⁻¹·R⁻⁴·z⁻⁴·k_B⁴
m = k₀ · a⁻²·J·R⁴·z⁴·k_B⁻⁴
null
1
3
4
16
13.7
-4.7
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "gas_constant": "-4", "cat_activity": "-4", "boltzmann": "4"}
5
acceleration,avogadro,cat_activity,inertia,mass
m·a·J·z·N_A
chemistry,constants,mechanics
m·a²·J⁻¹·z⁻⁴·N_A⁻⁴
m = k₀ · a⁻²·J·z⁴·N_A⁴
null
1
3
4
12
10.6
-1.6
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "cat_activity": "-4", "avogadro": "-4"}
4
acceleration,inertia,light_speed,mass
m·a·J·c₀
constants,mechanics
m·a⁻²·J⁻¹·c₀⁴
m = k₀ · a²·J·c₀⁻⁴
null
1
2
4
8
6.9
2.6
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "light_speed": "4"}
4
acceleration,grav_const,inertia,mass
m·a·J·G
constants,mechanics
m²·a⁻¹·J⁻¹·G
a = k₀ · m²·J⁻¹·G
null
1
2
2
5
3.8
5.7
true
{"mass": "2", "acceleration": "-1", "inertia": "-1", "grav_const": "1"}
4
acceleration,inertia,mass,planck
m·a·J·h
constants,mechanics
m·a²·J³·h⁻⁴
m = k₀ · a⁻²·J⁻³·h⁴
null
1
2
4
10
8.3
1.2
false
{"mass": "1", "acceleration": "2", "inertia": "3", "planck": "-4"}
4
acceleration,density,mass,pressure
m·a·P_p·ρ
mechanics
m·a³·P_p⁻³·ρ²
m = k₀ · a⁻³·P_p³·ρ⁻²
null
0
1
3
9
6.5
3.5
false
{"mass": "1", "acceleration": "3", "pressure": "-3", "density": "2"}
4
acceleration,mass,pressure,viscosity
m·a·P_p·μ
mechanics
m·a⁻¹·P_p³·μ⁻⁴
m = k₀ · a·P_p⁻³·μ⁴
null
0
1
4
9
7
3
false
{"mass": "1", "acceleration": "-1", "pressure": "3", "viscosity": "-4"}
4
acceleration,kin_viscosity,mass,pressure
m·a·P_p·ν
mechanics
m³·a⁵·P_p⁻³·ν⁻⁴
m = k₀ · a⁻⁵ᐟ³·P_p·ν⁴ᐟ³
null
0
1
5
15
11.7
-1.7
false
{"mass": "3", "acceleration": "5", "pressure": "-3", "kin_viscosity": "-4"}
4
acceleration,mass,omega,pressure
m·a·P_p·ω
mechanics
m·a⁻¹·P_p⁻¹·ω⁴
m = k₀ · a·P_p·ω⁻⁴
null
0
1
4
7
5.6
4.4
false
{"mass": "1", "acceleration": "-1", "pressure": "-1", "omega": "4"}
4
acceleration,frequency,mass,pressure
m·a·P_p·f
mechanics
m·a⁻¹·P_p⁻¹·f⁴
m = k₀ · a·P_p·f⁻⁴
null
0
1
4
7
5.6
4.4
false
{"mass": "1", "acceleration": "-1", "pressure": "-1", "frequency": "4"}
4
acceleration,mass,pressure,stiffness
m·a·P_p·k
mechanics
m·a·P_p·k⁻²
m = k₀ · a⁻¹·P_p⁻¹·k²
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "acceleration": "1", "pressure": "1", "stiffness": "-2"}
4
acceleration,mass,pressure,surf_tension
m·a·P_p·γ
mechanics
m·a·P_p·γ⁻²
m = k₀ · a⁻¹·P_p⁻¹·γ²
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "acceleration": "1", "pressure": "1", "surf_tension": "-2"}
4
acceleration,area,mass,pressure
m·a·P_p·A
mechanics
m·a·P_p⁻¹·A⁻¹
m = k₀ · a⁻¹·P_p·A
null
0
1
1
4
2
8
true
{"mass": "1", "acceleration": "1", "pressure": "-1", "area": "-1"}
4
acceleration,mass,pressure,volume
m·a·P_p·V
mechanics
m³·a³·P_p⁻³·V⁻²
V = k₀ · m³ᐟ²·a³ᐟ²·P_p⁻³ᐟ²
null
0
1
3
11
7.9
2.1
false
{"mass": "3", "acceleration": "3", "pressure": "-3", "volume": "-2"}
4
acceleration,flowrate,mass,pressure
m·a·P_p·Q
mechanics
m⁵·a⁷·P_p⁻⁵·Q⁻⁴
Q = k₀ · m⁵ᐟ⁴·a⁷ᐟ⁴·P_p⁻⁵ᐟ⁴
null
0
1
7
21
16.9
-6.9
false
{"mass": "5", "acceleration": "7", "pressure": "-5", "flowrate": "-4"}
5
acceleration,entropy,mass,pressure,temperature
m·a·P_p·Θ·S_e
mechanics,thermo
m³·a³·P_p⁻¹·Θ⁻²·S_e⁻²
P_p = k₀ · m³·a³·Θ⁻²·S_e⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "pressure": "-1", "temperature": "-2", "entropy": "-2"}
5
acceleration,heat_capacity,mass,pressure,temperature
m·a·P_p·Θ·C
mechanics,thermo
m³·a³·P_p⁻¹·Θ⁻²·C⁻²
P_p = k₀ · m³·a³·Θ⁻²·C⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "pressure": "-1", "temperature": "-2", "heat_capacity": "-2"}
5
acceleration,mass,pressure,specific_heat,temperature
m·a·P_p·Θ·c
mechanics,thermo
m·a³·P_p⁻¹·Θ⁻²·c⁻²
m = k₀ · a⁻³·P_p·Θ²·c²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "3", "pressure": "-1", "temperature": "-2", "specific_heat": "-2"}
5
acceleration,mass,pressure,temperature,thermal_cond
m·a·P_p·Θ·κ
mechanics,thermo
m³·a⁵·P_p·Θ⁻⁴·κ⁻⁴
P_p = k₀ · m⁻³·a⁻⁵·Θ⁴·κ⁴
null
0
2
5
17
14
-4.5
false
{"mass": "3", "acceleration": "5", "pressure": "1", "temperature": "-4", "thermal_cond": "-4"}
6
acceleration,amount,gas_constant,mass,pressure,temperature
m·a·P_p·Θ·n·R
chemistry,mechanics,thermo
m³·a³·P_p⁻¹·Θ⁻²·n⁻²·R⁻²
P_p = k₀ · m³·a³·Θ⁻²·n⁻²·R⁻²
null
0
3
3
13
11.1
-2.1
false
{"mass": "3", "acceleration": "3", "pressure": "-1", "temperature": "-2", "amount": "-2", "gas_constant": "-2"}