Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
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106
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62 values
pi
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19 values
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int64
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int64
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float64
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score
float64
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bool
2 classes
exponents
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27
177
5
acceleration,current,mass,surf_tension,voltage
m·a·γ·i·U
em,mechanics
m³·a⁴·γ⁻¹·i⁻²·U⁻²
γ = k₀ · m³·a⁴·i⁻²·U⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "surf_tension": "-1", "current": "-2", "voltage": "-2"}
5
acceleration,current,mass,resistance,surf_tension
m·a·γ·i·R
em,mechanics
m³·a⁴·γ⁻¹·i⁻⁴·R⁻²
γ = k₀ · m³·a⁴·i⁻⁴·R⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "surf_tension": "-1", "current": "-4", "resistance": "-2"}
5
acceleration,current,inductance,mass,surf_tension
m·a·γ·i·L_e
em,mechanics
m²·a²·γ⁻¹·i⁻²·L_e⁻¹
γ = k₀ · m²·a²·i⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "current": "-2", "inductance": "-1"}
5
acceleration,current,efield,mass,surf_tension
m·a·γ·i·E_f
em,mechanics
m·a²·γ·i⁻²·E_f⁻²
m = k₀ · a⁻²·γ⁻¹·i²·E_f²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "1", "current": "-2", "efield": "-2"}
5
acceleration,current,mag_flux,mass,surf_tension
m·a·γ·i·Φ
em,mechanics
m²·a²·γ⁻¹·i⁻¹·Φ⁻¹
γ = k₀ · m²·a²·i⁻¹·Φ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "current": "-1", "mag_flux": "-1"}
5
acceleration,current,mass,permittivity,surf_tension
m·a·γ·i·ε
em,mechanics
m²·a³·γ⁻¹·i⁻²·ε
γ = k₀ · m²·a³·i⁻²·ε
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "acceleration": "3", "surf_tension": "-1", "current": "-2", "permittivity": "1"}
5
acceleration,conductivity,current,mass,surf_tension
m·a·γ·i·σ
em,mechanics
m⁵·a⁶·γ⁻³·i⁻⁴·σ²
σ = k₀ · m⁻⁵ᐟ²·a⁻³·γ³ᐟ²·i²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "surf_tension": "-3", "current": "-4", "conductivity": "2"}
5
acceleration,current,mass,resistivity,surf_tension
m·a·γ·i·ρ_e
em,mechanics
m⁵·a⁶·γ⁻³·i⁻⁴·ρ_e⁻²
ρ_e = k₀ · m⁵ᐟ²·a³·γ⁻³ᐟ²·i⁻²
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "surf_tension": "-3", "current": "-4", "resistivity": "-2"}
5
acceleration,mass,resistance,surf_tension,voltage
m·a·γ·U·R
em,mechanics
m³·a⁴·γ⁻¹·U⁻⁴·R²
γ = k₀ · m³·a⁴·U⁻⁴·R²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "surf_tension": "-1", "voltage": "-4", "resistance": "2"}
5
acceleration,capacitance,mass,surf_tension,voltage
m·a·γ·U·C_e
em,mechanics
m²·a²·γ⁻¹·U⁻²·C_e⁻¹
γ = k₀ · m²·a²·U⁻²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "voltage": "-2", "capacitance": "-1"}
5
acceleration,efield,mass,surf_tension,voltage
m·a·γ·U·E_f
em,mechanics
m·a·γ⁻¹·U⁻¹·E_f
m = k₀ · a⁻¹·γ·U·E_f⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "surf_tension": "-1", "voltage": "-1", "efield": "1"}
5
acceleration,bfield,mass,surf_tension,voltage
m·a·γ·U·B
em,mechanics
m³·a⁴·γ⁻³·U⁻²·B²
U = k₀ · m³ᐟ²·a²·γ⁻³ᐟ²·B
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "surf_tension": "-3", "voltage": "-2", "bfield": "2"}
5
acceleration,mass,permeability,surf_tension,voltage
m·a·γ·U·μ₀
em,mechanics
m²·a³·γ⁻¹·U⁻²·μ₀
γ = k₀ · m²·a³·U⁻²·μ₀
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "acceleration": "3", "surf_tension": "-1", "voltage": "-2", "permeability": "1"}
5
acceleration,conductivity,mass,surf_tension,voltage
m·a·γ·U·σ
em,mechanics
m·a²·γ·U⁻⁴·σ⁻²
m = k₀ · a⁻²·γ⁻¹·U⁴·σ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "surf_tension": "1", "voltage": "-4", "conductivity": "-2"}
5
acceleration,mass,resistivity,surf_tension,voltage
m·a·γ·U·ρ_e
em,mechanics
m·a²·γ·U⁻⁴·ρ_e²
m = k₀ · a⁻²·γ⁻¹·U⁴·ρ_e⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "surf_tension": "1", "voltage": "-4", "resistivity": "2"}
5
acceleration,elem_charge,mass,surf_tension,voltage
m·a·γ·U·e
constants,em,mechanics
m²·a²·γ⁻¹·U⁻¹·e⁻¹
γ = k₀ · m²·a²·U⁻¹·e⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "voltage": "-1", "elem_charge": "-1"}
5
acceleration,bfield,mass,resistance,surf_tension
m·a·γ·R·B
em,mechanics
m³·a⁴·γ⁻⁵·R⁻²·B⁴
R = k₀ · m³ᐟ²·a²·γ⁻⁵ᐟ²·B²
null
0
2
5
18
14.7
-5.2
false
{"mass": "3", "acceleration": "4", "surf_tension": "-5", "resistance": "-2", "bfield": "4"}
5
acceleration,mag_flux,mass,resistance,surf_tension
m·a·γ·R·Φ
em,mechanics
m⁵·a⁴·γ⁻³·R²·Φ⁻⁴
R = k₀ · m⁻⁵ᐟ²·a⁻²·γ³ᐟ²·Φ²
null
0
2
5
18
14.7
-5.2
false
{"mass": "5", "acceleration": "4", "surf_tension": "-3", "resistance": "2", "mag_flux": "-4"}
5
acceleration,mass,permittivity,resistance,surf_tension
m·a·γ·R·ε
em,mechanics
m·a²·γ⁻¹·R²·ε²
m = k₀ · a⁻²·γ·R⁻²·ε⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "resistance": "2", "permittivity": "2"}
5
acceleration,mass,permeability,resistance,surf_tension
m·a·γ·R·μ₀
em,mechanics
m·a²·γ⁻¹·R⁻²·μ₀²
m = k₀ · a⁻²·γ·R²·μ₀⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "resistance": "-2", "permeability": "2"}
5
acceleration,conductivity,mass,resistance,surf_tension
m·a·γ·R·σ
em,mechanics
m·a·γ⁻¹·R·σ
m = k₀ · a⁻¹·γ·R⁻¹·σ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "surf_tension": "-1", "resistance": "1", "conductivity": "1"}
5
acceleration,mass,resistance,resistivity,surf_tension
m·a·γ·R·ρ_e
em,mechanics
m·a·γ⁻¹·R·ρ_e⁻¹
m = k₀ · a⁻¹·γ·R⁻¹·ρ_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "surf_tension": "-1", "resistance": "1", "resistivity": "-1"}
5
acceleration,elem_charge,mass,resistance,surf_tension
m·a·γ·R·e
constants,em,mechanics
m⁵·a⁴·γ⁻³·R⁻²·e⁻⁴
R = k₀ · m⁵ᐟ²·a²·γ⁻³ᐟ²·e⁻²
null
1
3
5
18
15.3
-6.3
false
{"mass": "5", "acceleration": "4", "surf_tension": "-3", "resistance": "-2", "elem_charge": "-4"}
5
acceleration,bfield,capacitance,mass,surf_tension
m·a·γ·C_e·B
em,mechanics
m·a²·γ⁻²·C_e·B²
m = k₀ · a⁻²·γ²·C_e⁻¹·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "-2", "capacitance": "1", "bfield": "2"}
5
acceleration,capacitance,mag_flux,mass,surf_tension
m·a·γ·C_e·Φ
em,mechanics
m³·a²·γ⁻²·C_e⁻¹·Φ⁻²
C_e = k₀ · m³·a²·γ⁻²·Φ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "surf_tension": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
acceleration,capacitance,mass,permittivity,surf_tension
m·a·γ·C_e·ε
em,mechanics
m·a·γ⁻¹·C_e⁻¹·ε
m = k₀ · a⁻¹·γ·C_e·ε⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "surf_tension": "-1", "capacitance": "-1", "permittivity": "1"}
5
acceleration,capacitance,conductivity,mass,surf_tension
m·a·γ·C_e·σ
em,mechanics
m³·a²·γ⁻³·C_e⁻²·σ²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·C_e·σ⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "capacitance": "-2", "conductivity": "2"}
5
acceleration,capacitance,mass,resistivity,surf_tension
m·a·γ·C_e·ρ_e
em,mechanics
m³·a²·γ⁻³·C_e⁻²·ρ_e⁻²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·C_e·ρ_e
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "capacitance": "-2", "resistivity": "-2"}
5
acceleration,capacitance,elem_charge,mass,surf_tension
m·a·γ·C_e·e
constants,em,mechanics
m²·a²·γ⁻¹·C_e·e⁻²
γ = k₀ · m²·a²·C_e·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "capacitance": "1", "elem_charge": "-2"}
5
acceleration,bfield,inductance,mass,surf_tension
m·a·γ·L_e·B
em,mechanics
m²·a²·γ⁻³·L_e⁻¹·B²
L_e = k₀ · m²·a²·γ⁻³·B²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "acceleration": "2", "surf_tension": "-3", "inductance": "-1", "bfield": "2"}
5
acceleration,inductance,mag_flux,mass,surf_tension
m·a·γ·L_e·Φ
em,mechanics
m²·a²·γ⁻¹·L_e·Φ⁻²
γ = k₀ · m²·a²·L_e·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "inductance": "1", "mag_flux": "-2"}
5
acceleration,inductance,mass,permeability,surf_tension
m·a·γ·L_e·μ₀
em,mechanics
m·a·γ⁻¹·L_e⁻¹·μ₀
m = k₀ · a⁻¹·γ·L_e·μ₀⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "surf_tension": "-1", "inductance": "-1", "permeability": "1"}
5
acceleration,conductivity,inductance,mass,surf_tension
m·a·γ·L_e·σ
em,mechanics
m·a²·γ⁻¹·L_e²·σ²
m = k₀ · a⁻²·γ·L_e⁻²·σ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "inductance": "2", "conductivity": "2"}
5
acceleration,inductance,mass,resistivity,surf_tension
m·a·γ·L_e·ρ_e
em,mechanics
m·a²·γ⁻¹·L_e²·ρ_e⁻²
m = k₀ · a⁻²·γ·L_e⁻²·ρ_e²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "inductance": "2", "resistivity": "-2"}
5
acceleration,elem_charge,inductance,mass,surf_tension
m·a·γ·L_e·e
constants,em,mechanics
m³·a²·γ⁻²·L_e⁻¹·e⁻²
L_e = k₀ · m³·a²·γ⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "3", "acceleration": "2", "surf_tension": "-2", "inductance": "-1", "elem_charge": "-2"}
5
acceleration,bfield,efield,mass,surf_tension
m·a·γ·E_f·B
em,mechanics
m·a²·γ⁻¹·E_f⁻²·B²
m = k₀ · a⁻²·γ·E_f²·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "efield": "-2", "bfield": "2"}
5
acceleration,efield,mag_flux,mass,surf_tension
m·a·γ·E_f·Φ
em,mechanics
m³·a²·γ⁻³·E_f²·Φ⁻²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·E_f⁻¹·Φ
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "efield": "2", "mag_flux": "-2"}
5
acceleration,efield,mass,permittivity,surf_tension
m·a·γ·E_f·ε
em,mechanics
m·a·γ⁻²·E_f²·ε
m = k₀ · a⁻¹·γ²·E_f⁻²·ε⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "surf_tension": "-2", "efield": "2", "permittivity": "1"}
5
acceleration,conductivity,efield,mass,surf_tension
m·a·γ·E_f·σ
em,mechanics
m³·a²·γ⁻⁵·E_f⁴·σ²
a = k₀ · m⁻³ᐟ²·γ⁵ᐟ²·E_f⁻²·σ⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "3", "acceleration": "2", "surf_tension": "-5", "efield": "4", "conductivity": "2"}
5
acceleration,efield,mass,resistivity,surf_tension
m·a·γ·E_f·ρ_e
em,mechanics
m³·a²·γ⁻⁵·E_f⁴·ρ_e⁻²
a = k₀ · m⁻³ᐟ²·γ⁵ᐟ²·E_f⁻²·ρ_e
null
0
2
5
16
13.3
-3.8
false
{"mass": "3", "acceleration": "2", "surf_tension": "-5", "efield": "4", "resistivity": "-2"}
5
acceleration,bfield,mag_flux,mass,surf_tension
m·a·γ·B·Φ
em,mechanics
m²·a²·γ⁻²·B·Φ⁻¹
B = k₀ · m⁻²·a⁻²·γ²·Φ
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-2", "bfield": "1", "mag_flux": "-1"}
5
acceleration,bfield,mass,permittivity,surf_tension
m·a·γ·B·ε
em,mechanics
m²·a³·γ⁻³·B²·ε
ε = k₀ · m⁻²·a⁻³·γ³·B⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "3", "surf_tension": "-3", "bfield": "2", "permittivity": "1"}
5
acceleration,bfield,mass,permeability,surf_tension
m·a·γ·B·μ₀
em,mechanics
m·a·γ⁻²·B²·μ₀⁻¹
m = k₀ · a⁻¹·γ²·B⁻²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "surf_tension": "-2", "bfield": "2", "permeability": "-1"}
5
acceleration,bfield,conductivity,mass,surf_tension
m·a·γ·B·σ
em,mechanics
m⁵·a⁶·γ⁻⁷·B⁴·σ²
σ = k₀ · m⁻⁵ᐟ²·a⁻³·γ⁷ᐟ²·B⁻²
null
0
2
7
24
19.9
-10.4
false
{"mass": "5", "acceleration": "6", "surf_tension": "-7", "bfield": "4", "conductivity": "2"}
5
acceleration,bfield,mass,resistivity,surf_tension
m·a·γ·B·ρ_e
em,mechanics
m⁵·a⁶·γ⁻⁷·B⁴·ρ_e⁻²
ρ_e = k₀ · m⁵ᐟ²·a³·γ⁻⁷ᐟ²·B²
null
0
2
7
24
19.9
-10.4
false
{"mass": "5", "acceleration": "6", "surf_tension": "-7", "bfield": "4", "resistivity": "-2"}
5
acceleration,mag_flux,mass,permittivity,surf_tension
m·a·γ·Φ·ε
em,mechanics
m²·a·γ⁻¹·Φ⁻²·ε⁻¹
a = k₀ · m⁻²·γ·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "surf_tension": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
acceleration,mag_flux,mass,permeability,surf_tension
m·a·γ·Φ·μ₀
em,mechanics
m³·a³·γ⁻²·Φ⁻²·μ₀
μ₀ = k₀ · m⁻³·a⁻³·γ²·Φ²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "surf_tension": "-2", "mag_flux": "-2", "permeability": "1"}
5
acceleration,conductivity,mag_flux,mass,surf_tension
m·a·γ·Φ·σ
em,mechanics
m³·a²·γ⁻¹·Φ⁻⁴·σ⁻²
γ = k₀ · m³·a²·Φ⁻⁴·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "2", "surf_tension": "-1", "mag_flux": "-4", "conductivity": "-2"}
5
acceleration,mag_flux,mass,resistivity,surf_tension
m·a·γ·Φ·ρ_e
em,mechanics
m³·a²·γ⁻¹·Φ⁻⁴·ρ_e²
γ = k₀ · m³·a²·Φ⁻⁴·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "2", "surf_tension": "-1", "mag_flux": "-4", "resistivity": "2"}
5
acceleration,elem_charge,mag_flux,mass,surf_tension
m·a·γ·Φ·e
constants,em,mechanics
m⁵·a⁴·γ⁻³·Φ⁻²·e⁻²
Φ = k₀ · m⁵ᐟ²·a²·γ⁻³ᐟ²·e⁻¹
null
1
3
5
16
13.9
-4.9
false
{"mass": "5", "acceleration": "4", "surf_tension": "-3", "mag_flux": "-2", "elem_charge": "-2"}
5
acceleration,mass,permeability,permittivity,surf_tension
m·a·γ·ε·μ₀
em,mechanics
m·a²·γ⁻¹·ε·μ₀
m = k₀ · a⁻²·γ·ε⁻¹·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "permittivity": "1", "permeability": "1"}
5
acceleration,elem_charge,mass,permittivity,surf_tension
m·a·γ·ε·e
constants,em,mechanics
m³·a³·γ⁻²·ε·e⁻²
ε = k₀ · m⁻³·a⁻³·γ²·e²
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "acceleration": "3", "surf_tension": "-2", "permittivity": "1", "elem_charge": "-2"}
5
acceleration,conductivity,mass,permeability,surf_tension
m·a·γ·μ₀·σ
em,mechanics
m³·a⁴·γ⁻³·μ₀²·σ²
μ₀ = k₀ · m⁻³ᐟ²·a⁻²·γ³ᐟ²·σ⁻¹
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "surf_tension": "-3", "permeability": "2", "conductivity": "2"}
5
acceleration,mass,permeability,resistivity,surf_tension
m·a·γ·μ₀·ρ_e
em,mechanics
m³·a⁴·γ⁻³·μ₀²·ρ_e⁻²
μ₀ = k₀ · m⁻³ᐟ²·a⁻²·γ³ᐟ²·ρ_e
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "surf_tension": "-3", "permeability": "2", "resistivity": "-2"}
5
acceleration,elem_charge,mass,permeability,surf_tension
m·a·γ·μ₀·e
constants,em,mechanics
m²·a·γ⁻¹·μ₀⁻¹·e⁻²
a = k₀ · m⁻²·γ·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "1", "surf_tension": "-1", "permeability": "-1", "elem_charge": "-2"}
5
acceleration,conductivity,elem_charge,mass,surf_tension
m·a·γ·σ·e
constants,em,mechanics
m⁷·a⁶·γ⁻⁵·σ²·e⁻⁴
σ = k₀ · m⁻⁷ᐟ²·a⁻³·γ⁵ᐟ²·e²
null
1
3
7
24
20.5
-11.5
false
{"mass": "7", "acceleration": "6", "surf_tension": "-5", "conductivity": "2", "elem_charge": "-4"}
5
acceleration,elem_charge,mass,resistivity,surf_tension
m·a·γ·ρ_e·e
constants,em,mechanics
m⁷·a⁶·γ⁻⁵·ρ_e⁻²·e⁻⁴
ρ_e = k₀ · m⁷ᐟ²·a³·γ⁻⁵ᐟ²·e⁻²
null
1
3
7
24
20.5
-11.5
false
{"mass": "7", "acceleration": "6", "surf_tension": "-5", "resistivity": "-2", "elem_charge": "-4"}
5
acceleration,amount,concentration,mass,surf_tension
m·a·γ·n·c_n
chemistry,mechanics
m³·a³·γ⁻³·n⁻¹·c_n
n = k₀ · m³·a³·γ⁻³·c_n
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "surf_tension": "-3", "amount": "-1", "concentration": "1"}
5
acceleration,amount,mass,molar_energy,surf_tension
m·a·γ·n·E_m
chemistry,mechanics
m²·a²·γ⁻¹·n⁻¹·E_m⁻¹
γ = k₀ · m²·a²·n⁻¹·E_m⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "amount": "-1", "molar_energy": "-1"}
5
acceleration,concentration,mass,molar_mass,surf_tension
m·a·γ·M_m·c_n
chemistry,mechanics
m²·a³·γ⁻³·M_m·c_n
M_m = k₀ · m⁻²·a⁻³·γ³·c_n⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "acceleration": "3", "surf_tension": "-3", "molar_mass": "1", "concentration": "1"}
5
acceleration,mass,molar_energy,molar_mass,surf_tension
m·a·γ·M_m·E_m
chemistry,mechanics
m·a²·γ⁻¹·M_m·E_m⁻¹
m = k₀ · a⁻²·γ·M_m⁻¹·E_m
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "molar_mass": "1", "molar_energy": "-1"}
5
acceleration,concentration,mass,molar_energy,surf_tension
m·a·γ·c_n·E_m
chemistry,mechanics
m·a·γ⁻²·c_n·E_m
m = k₀ · a⁻¹·γ²·c_n⁻¹·E_m⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "surf_tension": "-2", "concentration": "1", "molar_energy": "1"}
6
acceleration,boltzmann,concentration,gas_constant,mass,surf_tension
m·a·γ·c_n·R·k_B
chemistry,constants,mechanics
m³·a³·γ⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·a⁻³·γ³·R⁻¹·k_B
null
1
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "surf_tension": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
5
acceleration,cat_activity,concentration,mass,surf_tension
m·a·γ·c_n·z
chemistry,mechanics
m⁵·a⁶·γ⁻⁵·c_n²·z⁻²
c_n = k₀ · m⁻⁵ᐟ²·a⁻³·γ⁵ᐟ²·z
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "surf_tension": "-5", "concentration": "2", "cat_activity": "-2"}
5
acceleration,avogadro,concentration,mass,surf_tension
m·a·γ·c_n·N_A
chemistry,constants,mechanics
m³·a³·γ⁻³·c_n·N_A
c_n = k₀ · m⁻³·a⁻³·γ³·N_A⁻¹
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "acceleration": "3", "surf_tension": "-3", "concentration": "1", "avogadro": "1"}
6
acceleration,boltzmann,gas_constant,mass,molar_energy,surf_tension
m·a·γ·E_m·R·k_B
chemistry,constants,mechanics
m²·a²·γ⁻¹·E_m⁻¹·R·k_B⁻¹
γ = k₀ · m²·a²·E_m⁻¹·R·k_B⁻¹
null
1
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
acceleration,cat_activity,mass,molar_energy,surf_tension
m·a·γ·E_m·z
chemistry,mechanics
m³·a⁴·γ⁻¹·E_m⁻²·z⁻²
γ = k₀ · m³·a⁴·E_m⁻²·z⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "surf_tension": "-1", "molar_energy": "-2", "cat_activity": "-2"}
5
acceleration,avogadro,mass,molar_energy,surf_tension
m·a·γ·E_m·N_A
chemistry,constants,mechanics
m²·a²·γ⁻¹·E_m⁻¹·N_A
γ = k₀ · m²·a²·E_m⁻¹·N_A
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "molar_energy": "-1", "avogadro": "1"}
5
acceleration,illuminance,lum_intensity,mass,surf_tension
m·a·γ·I_v·E_v
mechanics,photometry
m²·a²·γ⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·a²·γ⁻²·E_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-2", "lum_intensity": "-1", "illuminance": "1"}
5
acceleration,lum_intensity,luminance,mass,surf_tension
m·a·γ·I_v·L_v
mechanics,photometry
m²·a²·γ⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·a²·γ⁻²·L_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-2", "lum_intensity": "-1", "luminance": "1"}
4
acceleration,light_speed,mass,surf_tension
m·a·γ·c₀
constants,mechanics
m·a²·γ⁻¹·c₀⁻²
m = k₀ · a⁻²·γ·c₀²
null
1
2
2
6
4.5
5
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "light_speed": "-2"}
4
acceleration,grav_const,mass,surf_tension
m·a·γ·G
constants,mechanics
m·a³·γ⁻²·G⁻¹
m = k₀ · a⁻³·γ²·G
null
1
2
3
7
5.7
3.8
true
{"mass": "1", "acceleration": "3", "surf_tension": "-2", "grav_const": "-1"}
4
acceleration,mass,planck,surf_tension
m·a·γ·h
constants,mechanics
m⁵·a⁴·γ⁻³·h⁻²
h = k₀ · m⁵ᐟ²·a²·γ⁻³ᐟ²
null
1
2
5
14
11.6
-2.1
false
{"mass": "5", "acceleration": "4", "surf_tension": "-3", "planck": "-2"}
5
acceleration,area,entropy,mass,temperature
m·a·A·Θ·S_e
mechanics,thermo
m²·a²·A·Θ⁻²·S_e⁻²
A = k₀ · m⁻²·a⁻²·Θ²·S_e²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "temperature": "-2", "entropy": "-2"}
5
acceleration,area,heat_capacity,mass,temperature
m·a·A·Θ·C
mechanics,thermo
m²·a²·A·Θ⁻²·C⁻²
A = k₀ · m⁻²·a⁻²·Θ²·C²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "temperature": "-2", "heat_capacity": "-2"}
5
acceleration,area,mass,temperature,thermal_cond
m·a·A·Θ·κ
mechanics,thermo
m⁴·a⁶·A⁻¹·Θ⁻⁴·κ⁻⁴
A = k₀ · m⁴·a⁶·Θ⁻⁴·κ⁻⁴
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "6", "area": "-1", "temperature": "-4", "thermal_cond": "-4"}
6
acceleration,amount,area,gas_constant,mass,temperature
m·a·A·Θ·n·R
chemistry,mechanics,thermo
m²·a²·A·Θ⁻²·n⁻²·R⁻²
A = k₀ · m⁻²·a⁻²·Θ²·n²·R²
null
0
3
2
11
9.2
-0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "temperature": "-2", "amount": "-2", "gas_constant": "-2"}
6
acceleration,area,concentration,gas_constant,mass,temperature
m·a·A·Θ·c_n·R
chemistry,mechanics,thermo
m·a·A⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · a⁻¹·A·Θ·c_n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "area": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,area,cat_activity,gas_constant,mass,temperature
m·a·A·Θ·R·z
chemistry,mechanics,thermo
m⁴·a⁶·A·Θ⁻⁴·R⁻⁴·z⁻⁴
A = k₀ · m⁻⁴·a⁻⁶·Θ⁴·R⁴·z⁴
null
0
3
6
23
19.6
-10.6
false
{"mass": "4", "acceleration": "6", "area": "1", "temperature": "-4", "gas_constant": "-4", "cat_activity": "-4"}
6
acceleration,area,avogadro,gas_constant,mass,temperature
m·a·A·Θ·R·N_A
chemistry,constants,mechanics,thermo
m²·a²·A·Θ⁻²·R⁻²·N_A²
A = k₀ · m⁻²·a⁻²·Θ²·R²·N_A⁻²
null
1
4
2
11
9.8
-1.3
false
{"mass": "2", "acceleration": "2", "area": "1", "temperature": "-2", "gas_constant": "-2", "avogadro": "2"}
5
acceleration,area,boltzmann,mass,temperature
m·a·A·Θ·k_B
constants,mechanics,thermo
m²·a²·A·Θ⁻²·k_B⁻²
A = k₀ · m⁻²·a⁻²·Θ²·k_B²
null
1
3
2
9
7.5
1.5
false
{"mass": "2", "acceleration": "2", "area": "1", "temperature": "-2", "boltzmann": "-2"}
5
acceleration,area,entropy,expansion,mass
m·a·A·S_e·β
mechanics,thermo
m²·a²·A·S_e⁻²·β²
A = k₀ · m⁻²·a⁻²·S_e²·β⁻²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "entropy": "-2", "expansion": "2"}
6
acceleration,area,entropy,gas_constant,mass,molar_energy
m·a·A·S_e·E_m·R
chemistry,mechanics,thermo
m²·a²·A·S_e⁻²·E_m⁻²·R²
A = k₀ · m⁻²·a⁻²·S_e²·E_m²·R⁻²
null
0
3
2
11
9.2
-0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "entropy": "-2", "molar_energy": "-2", "gas_constant": "2"}
5
acceleration,area,expansion,heat_capacity,mass
m·a·A·C·β
mechanics,thermo
m²·a²·A·C⁻²·β²
A = k₀ · m⁻²·a⁻²·C²·β⁻²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "heat_capacity": "-2", "expansion": "2"}
6
acceleration,area,gas_constant,heat_capacity,mass,molar_energy
m·a·A·C·E_m·R
chemistry,mechanics,thermo
m²·a²·A·C⁻²·E_m⁻²·R²
A = k₀ · m⁻²·a⁻²·C²·E_m²·R⁻²
null
0
3
2
11
9.2
-0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "heat_capacity": "-2", "molar_energy": "-2", "gas_constant": "2"}
5
acceleration,area,mass,specific_heat,thermal_cond
m·a·A·c·κ
mechanics,thermo
m⁴·a²·A⁻³·c⁴·κ⁻⁴
a = k₀ · m⁻²·A³ᐟ²·c⁻²·κ²
null
0
2
4
17
13.5
-4
false
{"mass": "4", "acceleration": "2", "area": "-3", "specific_heat": "4", "thermal_cond": "-4"}
6
acceleration,area,cat_activity,gas_constant,mass,specific_heat
m·a·A·c·R·z
chemistry,mechanics,thermo
m⁴·a²·A⁻¹·c⁴·R⁻⁴·z⁻⁴
A = k₀ · m⁴·a²·c⁴·R⁻⁴·z⁻⁴
null
0
3
4
19
15.8
-6.8
false
{"mass": "4", "acceleration": "2", "area": "-1", "specific_heat": "4", "gas_constant": "-4", "cat_activity": "-4"}
5
acceleration,area,expansion,mass,thermal_cond
m·a·A·κ·β
mechanics,thermo
m⁴·a⁶·A⁻¹·κ⁻⁴·β⁴
A = k₀ · m⁴·a⁶·κ⁻⁴·β⁴
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "6", "area": "-1", "thermal_cond": "-4", "expansion": "4"}
6
acceleration,area,gas_constant,mass,molar_mass,thermal_cond
m·a·A·κ·M_m·R
chemistry,mechanics,thermo
m⁴·a²·A⁻³·κ⁻⁴·M_m⁻⁴·R⁴
a = k₀ · m⁻²·A³ᐟ²·κ²·M_m²·R⁻²
null
0
3
4
21
17.2
-8.2
false
{"mass": "4", "acceleration": "2", "area": "-3", "thermal_cond": "-4", "molar_mass": "-4", "gas_constant": "4"}
6
acceleration,area,gas_constant,mass,molar_energy,thermal_cond
m·a·A·κ·E_m·R
chemistry,mechanics,thermo
m⁴·a⁶·A⁻¹·κ⁻⁴·E_m⁻⁴·R⁴
A = k₀ · m⁴·a⁶·κ⁻⁴·E_m⁻⁴·R⁴
null
0
3
6
23
19.6
-10.6
false
{"mass": "4", "acceleration": "6", "area": "-1", "thermal_cond": "-4", "molar_energy": "-4", "gas_constant": "4"}
6
acceleration,amount,area,expansion,gas_constant,mass
m·a·A·β·n·R
chemistry,mechanics,thermo
m²·a²·A·β²·n⁻²·R⁻²
A = k₀ · m⁻²·a⁻²·β⁻²·n²·R²
null
0
3
2
11
9.2
-0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "expansion": "2", "amount": "-2", "gas_constant": "-2"}
6
acceleration,area,concentration,expansion,gas_constant,mass
m·a·A·β·c_n·R
chemistry,mechanics,thermo
m·a·A⁻¹·β·c_n⁻¹·R⁻¹
m = k₀ · a⁻¹·A·β⁻¹·c_n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "area": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,area,cat_activity,expansion,gas_constant,mass
m·a·A·β·R·z
chemistry,mechanics,thermo
m⁴·a⁶·A·β⁴·R⁻⁴·z⁻⁴
A = k₀ · m⁻⁴·a⁻⁶·β⁻⁴·R⁴·z⁴
null
0
3
6
23
19.6
-10.6
false
{"mass": "4", "acceleration": "6", "area": "1", "expansion": "4", "gas_constant": "-4", "cat_activity": "-4"}
6
acceleration,area,avogadro,expansion,gas_constant,mass
m·a·A·β·R·N_A
chemistry,constants,mechanics,thermo
m²·a²·A·β²·R⁻²·N_A²
A = k₀ · m⁻²·a⁻²·β⁻²·R²·N_A⁻²
null
1
4
2
11
9.8
-1.3
false
{"mass": "2", "acceleration": "2", "area": "1", "expansion": "2", "gas_constant": "-2", "avogadro": "2"}
5
acceleration,area,boltzmann,expansion,mass
m·a·A·β·k_B
constants,mechanics,thermo
m²·a²·A·β²·k_B⁻²
A = k₀ · m⁻²·a⁻²·β⁻²·k_B²
null
1
3
2
9
7.5
1.5
false
{"mass": "2", "acceleration": "2", "area": "1", "expansion": "2", "boltzmann": "-2"}
5
acceleration,area,charge,mass,voltage
m·a·A·q·U
em,mechanics
m²·a²·A·q⁻²·U⁻²
A = k₀ · m⁻²·a⁻²·q²·U²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "charge": "-2", "voltage": "-2"}
5
acceleration,area,charge,mass,resistance
m·a·A·q·R
em,mechanics
m⁴·a²·A³·q⁻⁸·R⁻⁴
a = k₀ · m⁻²·A⁻³ᐟ²·q⁴·R²
null
0
2
8
21
18.3
-8.8
false
{"mass": "4", "acceleration": "2", "area": "3", "charge": "-8", "resistance": "-4"}
5
acceleration,area,capacitance,charge,mass
m·a·A·q·C_e
em,mechanics
m²·a²·A·q⁻⁴·C_e²
A = k₀ · m⁻²·a⁻²·q⁴·C_e⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "charge": "-4", "capacitance": "2"}
5
acceleration,area,bfield,charge,mass
m·a·A·q·B
em,mechanics
m⁴·a²·A⁻¹·q⁻⁴·B⁻⁴
A = k₀ · m⁴·a²·q⁻⁴·B⁻⁴
null
0
2
4
15
12.1
-2.6
false
{"mass": "4", "acceleration": "2", "area": "-1", "charge": "-4", "bfield": "-4"}
5
acceleration,area,charge,mag_flux,mass
m·a·A·q·Φ
em,mechanics
m⁴·a²·A³·q⁻⁴·Φ⁻⁴
a = k₀ · m⁻²·A⁻³ᐟ²·q²·Φ²
null
0
2
4
17
13.5
-4
false
{"mass": "4", "acceleration": "2", "area": "3", "charge": "-4", "mag_flux": "-4"}