Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
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10
106
symbols
stringlengths
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29
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62 values
pi
stringlengths
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46
equation
stringlengths
10
59
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19 values
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int64
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4
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int64
1
6
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int64
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34
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int64
2
134
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float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
5
acceleration,expansion,heat_capacity,kin_viscosity,mass
m·a·ν·C·β
mechanics,thermo
m³·a²·ν²·C⁻³·β³
a = k₀ · m⁻³ᐟ²·ν⁻¹·C³ᐟ²·β⁻³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "heat_capacity": "-3", "expansion": "3"}
6
acceleration,gas_constant,heat_capacity,kin_viscosity,mass,molar_energy
m·a·ν·C·E_m·R
chemistry,mechanics,thermo
m³·a²·ν²·C⁻³·E_m⁻³·R³
a = k₀ · m⁻³ᐟ²·ν⁻¹·C³ᐟ²·E_m³ᐟ²·R⁻³ᐟ²
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
acceleration,kin_viscosity,mass,specific_heat,thermal_cond
m·a·ν·c·κ
mechanics,thermo
m·a·ν⁻¹·c·κ⁻¹
m = k₀ · a⁻¹·ν·c⁻¹·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "kin_viscosity": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
acceleration,concentration,gas_constant,kin_viscosity,mass,specific_heat
m·a·ν·c·c_n·R
chemistry,mechanics,thermo
m·a·ν⁻²·c·c_n⁻¹·R⁻¹
m = k₀ · a⁻¹·ν²·c⁻¹·c_n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "1", "kin_viscosity": "-2", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,kin_viscosity,mass,specific_heat
m·a·ν·c·R·z
chemistry,mechanics,thermo
m³·a²·ν⁻¹·c³·R⁻³·z⁻³
ν = k₀ · m³·a²·c³·R⁻³·z⁻³
null
0
3
3
15
12.5
-3.5
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "-1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
acceleration,expansion,kin_viscosity,mass,thermal_cond
m·a·ν·κ·β
mechanics,thermo
m³·a⁵·ν⁻¹·κ⁻³·β³
ν = k₀ · m³·a⁵·κ⁻³·β³
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-1", "thermal_cond": "-3", "expansion": "3"}
6
acceleration,gas_constant,kin_viscosity,mass,molar_mass,thermal_cond
m·a·ν·κ·M_m·R
chemistry,mechanics,thermo
m·a·ν⁻¹·κ⁻¹·M_m⁻¹·R
m = k₀ · a⁻¹·ν·κ·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "kin_viscosity": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,gas_constant,kin_viscosity,mass,molar_energy,thermal_cond
m·a·ν·κ·E_m·R
chemistry,mechanics,thermo
m³·a⁵·ν⁻¹·κ⁻³·E_m⁻³·R³
ν = k₀ · m³·a⁵·κ⁻³·E_m⁻³·R³
null
0
3
5
18
15.6
-6.6
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,amount,expansion,gas_constant,kin_viscosity,mass
m·a·ν·β·n·R
chemistry,mechanics,thermo
m³·a²·ν²·β³·n⁻³·R⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·β⁻³ᐟ²·n³ᐟ²·R³ᐟ²
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,concentration,expansion,gas_constant,kin_viscosity,mass
m·a·ν·β·c_n·R
chemistry,mechanics,thermo
m³·a⁵·ν⁻⁴·β³·c_n⁻³·R⁻³
m = k₀ · a⁻⁵ᐟ³·ν⁴ᐟ³·β⁻¹·c_n·R
null
0
3
5
21
17.7
-8.7
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-4", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
acceleration,cat_activity,expansion,gas_constant,kin_viscosity,mass
m·a·ν·β·R·z
chemistry,mechanics,thermo
m³·a⁴·ν·β³·R⁻³·z⁻³
ν = k₀ · m⁻³·a⁻⁴·β⁻³·R³·z³
null
0
3
4
17
14.4
-5.4
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
acceleration,avogadro,expansion,gas_constant,kin_viscosity,mass
m·a·ν·β·R·N_A
chemistry,constants,mechanics,thermo
m³·a²·ν²·β³·R⁻³·N_A³
a = k₀ · m⁻³ᐟ²·ν⁻¹·β⁻³ᐟ²·R³ᐟ²·N_A⁻³ᐟ²
null
1
4
3
16
13.8
-5.3
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,boltzmann,expansion,kin_viscosity,mass
m·a·ν·β·k_B
constants,mechanics,thermo
m³·a²·ν²·β³·k_B⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·β⁻³ᐟ²·k_B³ᐟ²
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "expansion": "3", "boltzmann": "-3"}
5
acceleration,charge,kin_viscosity,mass,voltage
m·a·ν·q·U
em,mechanics
m³·a²·ν²·q⁻³·U⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·q³ᐟ²·U³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "charge": "-3", "voltage": "-3"}
5
acceleration,capacitance,charge,kin_viscosity,mass
m·a·ν·q·C_e
em,mechanics
m³·a²·ν²·q⁻⁶·C_e³
a = k₀ · m⁻³ᐟ²·ν⁻¹·q³·C_e⁻³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "charge": "-6", "capacitance": "3"}
5
acceleration,charge,inductance,kin_viscosity,mass
m·a·ν·q·L_e
em,mechanics
m³·a⁻²·ν⁴·q⁻⁶·L_e⁻³
a = k₀ · m³ᐟ²·ν²·q⁻³·L_e⁻³ᐟ²
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "-2", "kin_viscosity": "4", "charge": "-6", "inductance": "-3"}
5
acceleration,bfield,charge,kin_viscosity,mass
m·a·ν·q·B
em,mechanics
m³·a²·ν⁻¹·q⁻³·B⁻³
ν = k₀ · m³·a²·q⁻³·B⁻³
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "-1", "charge": "-3", "bfield": "-3"}
5
acceleration,charge,kin_viscosity,mass,permittivity
m·a·ν·q·ε
em,mechanics
m³·a·ν⁴·q⁻⁶·ε³
a = k₀ · m⁻³·ν⁻⁴·q⁶·ε⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "1", "kin_viscosity": "4", "charge": "-6", "permittivity": "3"}
5
acceleration,charge,kin_viscosity,mass,permeability
m·a·ν·q·μ₀
em,mechanics
m³·a⁻¹·ν²·q⁻⁶·μ₀⁻³
a = k₀ · m³·ν²·q⁻⁶·μ₀⁻³
null
0
2
6
15
13.1
-3.6
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "2", "charge": "-6", "permeability": "-3"}
5
acceleration,charge,conductivity,kin_viscosity,mass
m·a·ν·q·σ
em,mechanics
m³·a⁻¹·ν⁵·q⁻⁶·σ³
a = k₀ · m³·ν⁵·q⁻⁶·σ³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "5", "charge": "-6", "conductivity": "3"}
5
acceleration,charge,kin_viscosity,mass,resistivity
m·a·ν·q·ρ_e
em,mechanics
m³·a⁻¹·ν⁵·q⁻⁶·ρ_e⁻³
a = k₀ · m³·ν⁵·q⁻⁶·ρ_e⁻³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "5", "charge": "-6", "resistivity": "-3"}
5
acceleration,current,kin_viscosity,mass,voltage
m·a·ν·i·U
em,mechanics
m³·a⁴·ν·i⁻³·U⁻³
ν = k₀ · m⁻³·a⁻⁴·i³·U³
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "1", "current": "-3", "voltage": "-3"}
5
acceleration,current,kin_viscosity,mass,resistance
m·a·ν·i·R
em,mechanics
m³·a⁴·ν·i⁻⁶·R⁻³
ν = k₀ · m⁻³·a⁻⁴·i⁶·R³
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "1", "current": "-6", "resistance": "-3"}
5
acceleration,current,inductance,kin_viscosity,mass
m·a·ν·i·L_e
em,mechanics
m³·a²·ν²·i⁻⁶·L_e⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·i³·L_e³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "current": "-6", "inductance": "-3"}
5
acceleration,current,efield,kin_viscosity,mass
m·a·ν·i·E_f
em,mechanics
m³·a⁵·ν⁻¹·i⁻³·E_f⁻³
ν = k₀ · m³·a⁵·i⁻³·E_f⁻³
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-1", "current": "-3", "efield": "-3"}
5
acceleration,bfield,current,kin_viscosity,mass
m·a·ν·i·B
em,mechanics
m³·a⁴·ν⁻²·i⁻³·B⁻³
ν = k₀ · m³ᐟ²·a²·i⁻³ᐟ²·B⁻³ᐟ²
null
0
2
4
15
12.1
-2.6
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "-2", "current": "-3", "bfield": "-3"}
5
acceleration,current,kin_viscosity,mag_flux,mass
m·a·ν·i·Φ
em,mechanics
m³·a²·ν²·i⁻³·Φ⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·i³ᐟ²·Φ³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "current": "-3", "mag_flux": "-3"}
5
acceleration,current,kin_viscosity,mass,permittivity
m·a·ν·i·ε
em,mechanics
m³·a⁵·ν²·i⁻⁶·ε³
ν = k₀ · m⁻³ᐟ²·a⁻⁵ᐟ²·i³·ε⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "2", "current": "-6", "permittivity": "3"}
5
acceleration,conductivity,current,kin_viscosity,mass
m·a·ν·i·σ
em,mechanics
m·a·ν·i⁻²·σ
m = k₀ · a⁻¹·ν⁻¹·i²·σ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "kin_viscosity": "1", "current": "-2", "conductivity": "1"}
5
acceleration,current,kin_viscosity,mass,resistivity
m·a·ν·i·ρ_e
em,mechanics
m·a·ν·i⁻²·ρ_e⁻¹
m = k₀ · a⁻¹·ν⁻¹·i²·ρ_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "kin_viscosity": "1", "current": "-2", "resistivity": "-1"}
5
acceleration,kin_viscosity,mass,resistance,voltage
m·a·ν·U·R
em,mechanics
m³·a⁴·ν·U⁻⁶·R³
ν = k₀ · m⁻³·a⁻⁴·U⁶·R⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "1", "voltage": "-6", "resistance": "3"}
5
acceleration,capacitance,kin_viscosity,mass,voltage
m·a·ν·U·C_e
em,mechanics
m³·a²·ν²·U⁻⁶·C_e⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·U³·C_e³ᐟ²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "voltage": "-6", "capacitance": "-3"}
5
acceleration,kin_viscosity,mass,permeability,voltage
m·a·ν·U·μ₀
em,mechanics
m³·a⁵·ν²·U⁻⁶·μ₀³
ν = k₀ · m⁻³ᐟ²·a⁻⁵ᐟ²·U³·μ₀⁻³ᐟ²
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "2", "voltage": "-6", "permeability": "3"}
5
acceleration,conductivity,kin_viscosity,mass,voltage
m·a·ν·U·σ
em,mechanics
m³·a⁵·ν⁻¹·U⁻⁶·σ⁻³
ν = k₀ · m³·a⁵·U⁻⁶·σ⁻³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-1", "voltage": "-6", "conductivity": "-3"}
5
acceleration,kin_viscosity,mass,resistivity,voltage
m·a·ν·U·ρ_e
em,mechanics
m³·a⁵·ν⁻¹·U⁻⁶·ρ_e³
ν = k₀ · m³·a⁵·U⁻⁶·ρ_e³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-1", "voltage": "-6", "resistivity": "3"}
5
acceleration,elem_charge,kin_viscosity,mass,voltage
m·a·ν·U·e
constants,em,mechanics
m³·a²·ν²·U⁻³·e⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·U³ᐟ²·e³ᐟ²
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "voltage": "-3", "elem_charge": "-3"}
5
acceleration,efield,kin_viscosity,mass,resistance
m·a·ν·R·E_f
em,mechanics
m·a²·ν⁻¹·R·E_f⁻²
m = k₀ · a⁻²·ν·R⁻¹·E_f²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "kin_viscosity": "-1", "resistance": "1", "efield": "-2"}
5
acceleration,bfield,kin_viscosity,mass,resistance
m·a·ν·R·B
em,mechanics
m³·a⁴·ν⁻⁵·R³·B⁻⁶
m = k₀ · a⁻⁴ᐟ³·ν⁵ᐟ³·R⁻¹·B²
null
0
2
6
21
17.3
-7.8
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "-5", "resistance": "3", "bfield": "-6"}
5
acceleration,capacitance,efield,kin_viscosity,mass
m·a·ν·C_e·E_f
em,mechanics
m³·a⁴·ν⁻²·C_e⁻³·E_f⁻⁶
ν = k₀ · m³ᐟ²·a²·C_e⁻³ᐟ²·E_f⁻³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "-2", "capacitance": "-3", "efield": "-6"}
5
acceleration,bfield,capacitance,kin_viscosity,mass
m·a·ν·C_e·B
em,mechanics
m³·a²·ν⁻⁴·C_e⁻³·B⁻⁶
a = k₀ · m⁻³ᐟ²·ν²·C_e³ᐟ²·B³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "-4", "capacitance": "-3", "bfield": "-6"}
5
acceleration,capacitance,kin_viscosity,mag_flux,mass
m·a·ν·C_e·Φ
em,mechanics
m³·a⁻²·ν⁴·C_e⁻³·Φ⁻⁶
a = k₀ · m³ᐟ²·ν²·C_e⁻³ᐟ²·Φ⁻³
null
0
2
6
18
15.2
-5.7
false
{"mass": "3", "acceleration": "-2", "kin_viscosity": "4", "capacitance": "-3", "mag_flux": "-6"}
5
acceleration,capacitance,elem_charge,kin_viscosity,mass
m·a·ν·C_e·e
constants,em,mechanics
m³·a²·ν²·C_e³·e⁻⁶
a = k₀ · m⁻³ᐟ²·ν⁻¹·C_e⁻³ᐟ²·e³
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "capacitance": "3", "elem_charge": "-6"}
5
acceleration,efield,inductance,kin_viscosity,mass
m·a·ν·L_e·E_f
em,mechanics
m³·a⁸·ν⁻⁴·L_e³·E_f⁻⁶
m = k₀ · a⁻⁸ᐟ³·ν⁴ᐟ³·L_e⁻¹·E_f²
null
0
2
8
24
20.4
-10.9
false
{"mass": "3", "acceleration": "8", "kin_viscosity": "-4", "inductance": "3", "efield": "-6"}
5
acceleration,bfield,inductance,kin_viscosity,mass
m·a·ν·L_e·B
em,mechanics
m·a²·ν⁻²·L_e·B⁻²
m = k₀ · a⁻²·ν²·L_e⁻¹·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "kin_viscosity": "-2", "inductance": "1", "bfield": "-2"}
5
acceleration,inductance,kin_viscosity,mag_flux,mass
m·a·ν·L_e·Φ
em,mechanics
m³·a²·ν²·L_e³·Φ⁻⁶
a = k₀ · m⁻³ᐟ²·ν⁻¹·L_e⁻³ᐟ²·Φ³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "inductance": "3", "mag_flux": "-6"}
5
acceleration,elem_charge,inductance,kin_viscosity,mass
m·a·ν·L_e·e
constants,em,mechanics
m³·a⁻²·ν⁴·L_e⁻³·e⁻⁶
a = k₀ · m³ᐟ²·ν²·L_e⁻³ᐟ²·e⁻³
null
1
3
6
18
15.8
-6.8
false
{"mass": "3", "acceleration": "-2", "kin_viscosity": "4", "inductance": "-3", "elem_charge": "-6"}
5
acceleration,efield,kin_viscosity,mass,permittivity
m·a·ν·E_f·ε
em,mechanics
m³·a⁵·ν⁻⁴·E_f⁻⁶·ε⁻³
m = k₀ · a⁻⁵ᐟ³·ν⁴ᐟ³·E_f²·ε
null
0
2
6
21
17.3
-7.8
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-4", "efield": "-6", "permittivity": "-3"}
5
acceleration,efield,kin_viscosity,mass,permeability
m·a·ν·E_f·μ₀
em,mechanics
m³·a⁷·ν⁻²·E_f⁻⁶·μ₀³
ν = k₀ · m³ᐟ²·a⁷ᐟ²·E_f⁻³·μ₀³ᐟ²
null
0
2
7
21
17.8
-8.3
false
{"mass": "3", "acceleration": "7", "kin_viscosity": "-2", "efield": "-6", "permeability": "3"}
5
acceleration,conductivity,efield,kin_viscosity,mass
m·a·ν·E_f·σ
em,mechanics
m³·a⁷·ν⁻⁵·E_f⁻⁶·σ⁻³
m = k₀ · a⁻⁷ᐟ³·ν⁵ᐟ³·E_f²·σ
null
0
2
7
24
19.9
-10.4
false
{"mass": "3", "acceleration": "7", "kin_viscosity": "-5", "efield": "-6", "conductivity": "-3"}
5
acceleration,efield,kin_viscosity,mass,resistivity
m·a·ν·E_f·ρ_e
em,mechanics
m³·a⁷·ν⁻⁵·E_f⁻⁶·ρ_e³
m = k₀ · a⁻⁷ᐟ³·ν⁵ᐟ³·E_f²·ρ_e⁻¹
null
0
2
7
24
19.9
-10.4
false
{"mass": "3", "acceleration": "7", "kin_viscosity": "-5", "efield": "-6", "resistivity": "3"}
5
acceleration,bfield,kin_viscosity,mass,permittivity
m·a·ν·B·ε
em,mechanics
m·a·ν⁻²·B⁻²·ε⁻¹
m = k₀ · a⁻¹·ν²·B²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "kin_viscosity": "-2", "bfield": "-2", "permittivity": "-1"}
5
acceleration,bfield,kin_viscosity,mass,permeability
m·a·ν·B·μ₀
em,mechanics
m³·a⁵·ν⁻⁴·B⁻⁶·μ₀³
m = k₀ · a⁻⁵ᐟ³·ν⁴ᐟ³·B²·μ₀⁻¹
null
0
2
6
21
17.3
-7.8
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-4", "bfield": "-6", "permeability": "3"}
5
acceleration,bfield,conductivity,kin_viscosity,mass
m·a·ν·B·σ
em,mechanics
m³·a⁵·ν⁻⁷·B⁻⁶·σ⁻³
m = k₀ · a⁻⁵ᐟ³·ν⁷ᐟ³·B²·σ
null
0
2
7
24
19.9
-10.4
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-7", "bfield": "-6", "conductivity": "-3"}
5
acceleration,bfield,kin_viscosity,mass,resistivity
m·a·ν·B·ρ_e
em,mechanics
m³·a⁵·ν⁻⁷·B⁻⁶·ρ_e³
m = k₀ · a⁻⁵ᐟ³·ν⁷ᐟ³·B²·ρ_e⁻¹
null
0
2
7
24
19.9
-10.4
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-7", "bfield": "-6", "resistivity": "3"}
5
acceleration,bfield,elem_charge,kin_viscosity,mass
m·a·ν·B·e
constants,em,mechanics
m³·a²·ν⁻¹·B⁻³·e⁻³
ν = k₀ · m³·a²·B⁻³·e⁻³
null
1
3
3
12
10.1
-1.1
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "-1", "bfield": "-3", "elem_charge": "-3"}
5
acceleration,kin_viscosity,mag_flux,mass,permittivity
m·a·ν·Φ·ε
em,mechanics
m³·a⁻¹·ν²·Φ⁻⁶·ε⁻³
a = k₀ · m³·ν²·Φ⁻⁶·ε⁻³
null
0
2
6
15
13.1
-3.6
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "2", "mag_flux": "-6", "permittivity": "-3"}
5
acceleration,kin_viscosity,mag_flux,mass,permeability
m·a·ν·Φ·μ₀
em,mechanics
m³·a·ν⁴·Φ⁻⁶·μ₀³
a = k₀ · m⁻³·ν⁻⁴·Φ⁶·μ₀⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "1", "kin_viscosity": "4", "mag_flux": "-6", "permeability": "3"}
5
acceleration,conductivity,kin_viscosity,mag_flux,mass
m·a·ν·Φ·σ
em,mechanics
m³·a·ν·Φ⁻⁶·σ⁻³
a = k₀ · m⁻³·ν⁻¹·Φ⁶·σ³
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "acceleration": "1", "kin_viscosity": "1", "mag_flux": "-6", "conductivity": "-3"}
5
acceleration,kin_viscosity,mag_flux,mass,resistivity
m·a·ν·Φ·ρ_e
em,mechanics
m³·a·ν·Φ⁻⁶·ρ_e³
a = k₀ · m⁻³·ν⁻¹·Φ⁶·ρ_e⁻³
null
0
2
6
14
12.4
-2.9
false
{"mass": "3", "acceleration": "1", "kin_viscosity": "1", "mag_flux": "-6", "resistivity": "3"}
5
acceleration,elem_charge,kin_viscosity,mass,permittivity
m·a·ν·ε·e
constants,em,mechanics
m³·a·ν⁴·ε³·e⁻⁶
a = k₀ · m⁻³·ν⁻⁴·ε⁻³·e⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "acceleration": "1", "kin_viscosity": "4", "permittivity": "3", "elem_charge": "-6"}
5
acceleration,elem_charge,kin_viscosity,mass,permeability
m·a·ν·μ₀·e
constants,em,mechanics
m³·a⁻¹·ν²·μ₀⁻³·e⁻⁶
a = k₀ · m³·ν²·μ₀⁻³·e⁻⁶
null
1
3
6
15
13.7
-4.7
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "2", "permeability": "-3", "elem_charge": "-6"}
5
acceleration,conductivity,elem_charge,kin_viscosity,mass
m·a·ν·σ·e
constants,em,mechanics
m³·a⁻¹·ν⁵·σ³·e⁻⁶
a = k₀ · m³·ν⁵·σ³·e⁻⁶
null
1
3
6
18
15.8
-6.8
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "5", "conductivity": "3", "elem_charge": "-6"}
5
acceleration,elem_charge,kin_viscosity,mass,resistivity
m·a·ν·ρ_e·e
constants,em,mechanics
m³·a⁻¹·ν⁵·ρ_e⁻³·e⁻⁶
a = k₀ · m³·ν⁵·ρ_e⁻³·e⁻⁶
null
1
3
6
18
15.8
-6.8
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "5", "resistivity": "-3", "elem_charge": "-6"}
5
acceleration,amount,kin_viscosity,mass,molar_energy
m·a·ν·n·E_m
chemistry,mechanics
m³·a²·ν²·n⁻³·E_m⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·n³ᐟ²·E_m³ᐟ²
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "amount": "-3", "molar_energy": "-3"}
5
acceleration,concentration,kin_viscosity,mass,molar_mass
m·a·ν·M_m·c_n
chemistry,mechanics
m·a·ν⁻²·M_m⁻¹·c_n⁻¹
m = k₀ · a⁻¹·ν²·M_m·c_n
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "kin_viscosity": "-2", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,cat_activity,kin_viscosity,mass,molar_mass
m·a·ν·M_m·z
chemistry,mechanics
m³·a²·ν⁻¹·M_m⁻³·z⁻³
ν = k₀ · m³·a²·M_m⁻³·z⁻³
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "-1", "molar_mass": "-3", "cat_activity": "-3"}
5
acceleration,concentration,kin_viscosity,mass,molar_energy
m·a·ν·c_n·E_m
chemistry,mechanics
m³·a⁵·ν⁻⁴·c_n⁻³·E_m⁻³
m = k₀ · a⁻⁵ᐟ³·ν⁴ᐟ³·c_n·E_m
null
0
2
5
18
14.7
-5.2
false
{"mass": "3", "acceleration": "5", "kin_viscosity": "-4", "concentration": "-3", "molar_energy": "-3"}
6
acceleration,boltzmann,gas_constant,kin_viscosity,mass,molar_energy
m·a·ν·E_m·R·k_B
chemistry,constants,mechanics
m³·a²·ν²·E_m⁻³·R³·k_B⁻³
a = k₀ · m⁻³ᐟ²·ν⁻¹·E_m³ᐟ²·R⁻³ᐟ²·k_B³ᐟ²
null
1
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
acceleration,cat_activity,kin_viscosity,mass,molar_energy
m·a·ν·E_m·z
chemistry,mechanics
m³·a⁴·ν·E_m⁻³·z⁻³
ν = k₀ · m⁻³·a⁻⁴·E_m³·z³
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "kin_viscosity": "1", "molar_energy": "-3", "cat_activity": "-3"}
5
acceleration,avogadro,kin_viscosity,mass,molar_energy
m·a·ν·E_m·N_A
chemistry,constants,mechanics
m³·a²·ν²·E_m⁻³·N_A³
a = k₀ · m⁻³ᐟ²·ν⁻¹·E_m³ᐟ²·N_A⁻³ᐟ²
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "2", "kin_viscosity": "2", "molar_energy": "-3", "avogadro": "3"}
4
acceleration,grav_const,kin_viscosity,mass
m·a·ν·G
constants,mechanics
m³·a⁻¹·ν⁻⁴·G³
a = k₀ · m³·ν⁻⁴·G³
null
1
2
4
11
9
0.5
false
{"mass": "3", "acceleration": "-1", "kin_viscosity": "-4", "grav_const": "3"}
5
acceleration,entropy,mass,omega,temperature
m·a·ω·Θ·S_e
mechanics,thermo
m·a²·ω⁻²·Θ⁻¹·S_e⁻¹
m = k₀ · a⁻²·ω²·Θ·S_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "temperature": "-1", "entropy": "-1"}
5
acceleration,heat_capacity,mass,omega,temperature
m·a·ω·Θ·C
mechanics,thermo
m·a²·ω⁻²·Θ⁻¹·C⁻¹
m = k₀ · a⁻²·ω²·Θ·C
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "temperature": "-1", "heat_capacity": "-1"}
5
acceleration,mass,omega,temperature,thermal_cond
m·a·ω·Θ·κ
mechanics,thermo
m·a·ω·Θ⁻¹·κ⁻¹
m = k₀ · a⁻¹·ω⁻¹·Θ·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "omega": "1", "temperature": "-1", "thermal_cond": "-1"}
6
acceleration,amount,gas_constant,mass,omega,temperature
m·a·ω·Θ·n·R
chemistry,mechanics,thermo
m·a²·ω⁻²·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · a⁻²·ω²·Θ·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,concentration,gas_constant,mass,omega,temperature
m·a·ω·Θ·c_n·R
chemistry,mechanics,thermo
m·a⁻¹·ω⁴·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · a·ω⁻⁴·Θ·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "acceleration": "-1", "omega": "4", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,mass,omega,temperature
m·a·ω·Θ·R·z
chemistry,mechanics,thermo
m·a²·ω⁻¹·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · a⁻²·ω·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "omega": "-1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,gas_constant,mass,omega,temperature
m·a·ω·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·a²·ω⁻²·Θ⁻¹·R⁻¹·N_A
m = k₀ · a⁻²·ω²·Θ·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "acceleration": "2", "omega": "-2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,mass,omega,temperature
m·a·ω·Θ·k_B
constants,mechanics,thermo
m·a²·ω⁻²·Θ⁻¹·k_B⁻¹
m = k₀ · a⁻²·ω²·Θ·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "temperature": "-1", "boltzmann": "-1"}
5
acceleration,entropy,expansion,mass,omega
m·a·ω·S_e·β
mechanics,thermo
m·a²·ω⁻²·S_e⁻¹·β
m = k₀ · a⁻²·ω²·S_e·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "entropy": "-1", "expansion": "1"}
6
acceleration,entropy,gas_constant,mass,molar_energy,omega
m·a·ω·S_e·E_m·R
chemistry,mechanics,thermo
m·a²·ω⁻²·S_e⁻¹·E_m⁻¹·R
m = k₀ · a⁻²·ω²·S_e·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,expansion,heat_capacity,mass,omega
m·a·ω·C·β
mechanics,thermo
m·a²·ω⁻²·C⁻¹·β
m = k₀ · a⁻²·ω²·C·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "heat_capacity": "-1", "expansion": "1"}
6
acceleration,gas_constant,heat_capacity,mass,molar_energy,omega
m·a·ω·C·E_m·R
chemistry,mechanics,thermo
m·a²·ω⁻²·C⁻¹·E_m⁻¹·R
m = k₀ · a⁻²·ω²·C·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,mass,omega,specific_heat,thermal_cond
m·a·ω·c·κ
mechanics,thermo
m·a⁻¹·ω³·c·κ⁻¹
m = k₀ · a·ω⁻³·c⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "acceleration": "-1", "omega": "3", "specific_heat": "1", "thermal_cond": "-1"}
6
acceleration,concentration,gas_constant,mass,omega,specific_heat
m·a·ω·c·c_n·R
chemistry,mechanics,thermo
m·a⁻³·ω⁶·c·c_n⁻¹·R⁻¹
m = k₀ · a³·ω⁻⁶·c⁻¹·c_n·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "1", "acceleration": "-3", "omega": "6", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
acceleration,expansion,mass,omega,thermal_cond
m·a·ω·κ·β
mechanics,thermo
m·a·ω·κ⁻¹·β
m = k₀ · a⁻¹·ω⁻¹·κ·β⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "omega": "1", "thermal_cond": "-1", "expansion": "1"}
6
acceleration,gas_constant,mass,molar_mass,omega,thermal_cond
m·a·ω·κ·M_m·R
chemistry,mechanics,thermo
m·a⁻¹·ω³·κ⁻¹·M_m⁻¹·R
m = k₀ · a·ω⁻³·κ·M_m·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "acceleration": "-1", "omega": "3", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_energy,omega,thermal_cond
m·a·ω·κ·E_m·R
chemistry,mechanics,thermo
m·a·ω·κ⁻¹·E_m⁻¹·R
m = k₀ · a⁻¹·ω⁻¹·κ·E_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "omega": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
acceleration,amount,expansion,gas_constant,mass,omega
m·a·ω·β·n·R
chemistry,mechanics,thermo
m·a²·ω⁻²·β·n⁻¹·R⁻¹
m = k₀ · a⁻²·ω²·β⁻¹·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,concentration,expansion,gas_constant,mass,omega
m·a·ω·β·c_n·R
chemistry,mechanics,thermo
m·a⁻¹·ω⁴·β·c_n⁻¹·R⁻¹
m = k₀ · a·ω⁻⁴·β⁻¹·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "acceleration": "-1", "omega": "4", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,expansion,gas_constant,mass,omega
m·a·ω·β·R·z
chemistry,mechanics,thermo
m·a²·ω⁻¹·β·R⁻¹·z⁻¹
m = k₀ · a⁻²·ω·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "omega": "-1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,expansion,gas_constant,mass,omega
m·a·ω·β·R·N_A
chemistry,constants,mechanics,thermo
m·a²·ω⁻²·β·R⁻¹·N_A
m = k₀ · a⁻²·ω²·β⁻¹·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "acceleration": "2", "omega": "-2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,expansion,mass,omega
m·a·ω·β·k_B
constants,mechanics,thermo
m·a²·ω⁻²·β·k_B⁻¹
m = k₀ · a⁻²·ω²·β⁻¹·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "expansion": "1", "boltzmann": "-1"}
5
acceleration,charge,mass,omega,voltage
m·a·ω·q·U
em,mechanics
m·a²·ω⁻²·q⁻¹·U⁻¹
m = k₀ · a⁻²·ω²·q·U
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "charge": "-1", "voltage": "-1"}
5
acceleration,charge,mass,omega,resistance
m·a·ω·q·R
em,mechanics
m·a²·ω⁻³·q⁻²·R⁻¹
m = k₀ · a⁻²·ω³·q²·R
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "2", "omega": "-3", "charge": "-2", "resistance": "-1"}
5
acceleration,capacitance,charge,mass,omega
m·a·ω·q·C_e
em,mechanics
m·a²·ω⁻²·q⁻²·C_e
m = k₀ · a⁻²·ω²·q²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "omega": "-2", "charge": "-2", "capacitance": "1"}
5
acceleration,charge,inductance,mass,omega
m·a·ω·q·L_e
em,mechanics
m·a²·ω⁻⁴·q⁻²·L_e⁻¹
m = k₀ · a⁻²·ω⁴·q²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "omega": "-4", "charge": "-2", "inductance": "-1"}
5
acceleration,charge,mag_flux,mass,omega
m·a·ω·q·Φ
em,mechanics
m·a²·ω⁻³·q⁻¹·Φ⁻¹
m = k₀ · a⁻²·ω³·q·Φ
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "acceleration": "2", "omega": "-3", "charge": "-1", "mag_flux": "-1"}
5
acceleration,charge,mass,omega,permittivity
m·a·ω·q·ε
em,mechanics
m·a³·ω⁻⁴·q⁻²·ε
m = k₀ · a⁻³·ω⁴·q²·ε⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "acceleration": "3", "omega": "-4", "charge": "-2", "permittivity": "1"}
5
acceleration,charge,mass,omega,permeability
m·a·ω·q·μ₀
em,mechanics
m·a·ω⁻²·q⁻²·μ₀⁻¹
m = k₀ · a⁻¹·ω²·q²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "omega": "-2", "charge": "-2", "permeability": "-1"}