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
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19 values
n_const
int64
0
4
n_domains
int64
1
6
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int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
5
acceleration,area,charge,mass,permittivity
m·a·A·q·ε
em,mechanics
m·a·A·q⁻²·ε
m = k₀ · a⁻¹·A⁻¹·q²·ε⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "area": "1", "charge": "-2", "permittivity": "1"}
5
acceleration,area,charge,conductivity,mass
m·a·A·q·σ
em,mechanics
m⁴·a²·A⁵·q⁻⁸·σ⁴
a = k₀ · m⁻²·A⁻⁵ᐟ²·q⁴·σ⁻²
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "2", "area": "5", "charge": "-8", "conductivity": "4"}
5
acceleration,area,charge,mass,resistivity
m·a·A·q·ρ_e
em,mechanics
m⁴·a²·A⁵·q⁻⁸·ρ_e⁻⁴
a = k₀ · m⁻²·A⁻⁵ᐟ²·q⁴·ρ_e²
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "2", "area": "5", "charge": "-8", "resistivity": "-4"}
5
acceleration,area,current,mass,voltage
m·a·A·i·U
em,mechanics
m⁴·a⁶·A·i⁻⁴·U⁻⁴
A = k₀ · m⁻⁴·a⁻⁶·i⁴·U⁴
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "6", "area": "1", "current": "-4", "voltage": "-4"}
5
acceleration,area,current,mass,resistance
m·a·A·i·R
em,mechanics
m⁴·a⁶·A·i⁻⁸·R⁻⁴
A = k₀ · m⁻⁴·a⁻⁶·i⁸·R⁴
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "6", "area": "1", "current": "-8", "resistance": "-4"}
5
acceleration,area,current,inductance,mass
m·a·A·i·L_e
em,mechanics
m²·a²·A·i⁻⁴·L_e⁻²
A = k₀ · m⁻²·a⁻²·i⁴·L_e²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "current": "-4", "inductance": "-2"}
5
acceleration,area,current,efield,mass
m·a·A·i·E_f
em,mechanics
m⁴·a⁶·A⁻¹·i⁻⁴·E_f⁻⁴
A = k₀ · m⁴·a⁶·i⁻⁴·E_f⁻⁴
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "6", "area": "-1", "current": "-4", "efield": "-4"}
5
acceleration,area,bfield,current,mass
m·a·A·i·B
em,mechanics
m²·a²·A⁻¹·i⁻²·B⁻²
A = k₀ · m²·a²·i⁻²·B⁻²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "-1", "current": "-2", "bfield": "-2"}
5
acceleration,area,current,mag_flux,mass
m·a·A·i·Φ
em,mechanics
m²·a²·A·i⁻²·Φ⁻²
A = k₀ · m⁻²·a⁻²·i²·Φ²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "current": "-2", "mag_flux": "-2"}
5
acceleration,area,current,mass,permittivity
m·a·A·i·ε
em,mechanics
m²·a⁴·A·i⁻⁴·ε²
A = k₀ · m⁻²·a⁻⁴·i⁴·ε⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "area": "1", "current": "-4", "permittivity": "2"}
5
acceleration,area,conductivity,current,mass
m·a·A·i·σ
em,mechanics
m⁴·a⁶·A³·i⁻⁸·σ⁴
A = k₀ · m⁻⁴ᐟ³·a⁻²·i⁸ᐟ³·σ⁻⁴ᐟ³
null
0
2
8
25
21.1
-11.6
false
{"mass": "4", "acceleration": "6", "area": "3", "current": "-8", "conductivity": "4"}
5
acceleration,area,current,mass,resistivity
m·a·A·i·ρ_e
em,mechanics
m⁴·a⁶·A³·i⁻⁸·ρ_e⁻⁴
A = k₀ · m⁻⁴ᐟ³·a⁻²·i⁸ᐟ³·ρ_e⁴ᐟ³
null
0
2
8
25
21.1
-11.6
false
{"mass": "4", "acceleration": "6", "area": "3", "current": "-8", "resistivity": "-4"}
5
acceleration,area,mass,resistance,voltage
m·a·A·U·R
em,mechanics
m⁴·a⁶·A·U⁻⁸·R⁴
A = k₀ · m⁻⁴·a⁻⁶·U⁸·R⁻⁴
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "6", "area": "1", "voltage": "-8", "resistance": "4"}
5
acceleration,area,capacitance,mass,voltage
m·a·A·U·C_e
em,mechanics
m²·a²·A·U⁻⁴·C_e⁻²
A = k₀ · m⁻²·a⁻²·U⁴·C_e²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "voltage": "-4", "capacitance": "-2"}
5
acceleration,area,mass,permeability,voltage
m·a·A·U·μ₀
em,mechanics
m²·a⁴·A·U⁻⁴·μ₀²
A = k₀ · m⁻²·a⁻⁴·U⁴·μ₀⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "area": "1", "voltage": "-4", "permeability": "2"}
5
acceleration,area,conductivity,mass,voltage
m·a·A·U·σ
em,mechanics
m⁴·a⁶·A⁻¹·U⁻⁸·σ⁻⁴
A = k₀ · m⁴·a⁶·U⁻⁸·σ⁻⁴
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "6", "area": "-1", "voltage": "-8", "conductivity": "-4"}
5
acceleration,area,mass,resistivity,voltage
m·a·A·U·ρ_e
em,mechanics
m⁴·a⁶·A⁻¹·U⁻⁸·ρ_e⁴
A = k₀ · m⁴·a⁶·U⁻⁸·ρ_e⁴
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "6", "area": "-1", "voltage": "-8", "resistivity": "4"}
5
acceleration,area,elem_charge,mass,voltage
m·a·A·U·e
constants,em,mechanics
m²·a²·A·U⁻²·e⁻²
A = k₀ · m⁻²·a⁻²·U²·e²
null
1
3
2
9
7.5
1.5
false
{"mass": "2", "acceleration": "2", "area": "1", "voltage": "-2", "elem_charge": "-2"}
5
acceleration,area,efield,mass,resistance
m·a·A·R·E_f
em,mechanics
m⁴·a⁶·A⁻³·R⁴·E_f⁻⁸
A = k₀ · m⁴ᐟ³·a²·R⁴ᐟ³·E_f⁻⁸ᐟ³
null
0
2
8
25
21.1
-11.6
false
{"mass": "4", "acceleration": "6", "area": "-3", "resistance": "4", "efield": "-8"}
5
acceleration,area,bfield,mass,resistance
m·a·A·R·B
em,mechanics
m⁴·a²·A⁻⁵·R⁴·B⁻⁸
a = k₀ · m⁻²·A⁵ᐟ²·R⁻²·B⁴
null
0
2
8
23
19.7
-10.2
false
{"mass": "4", "acceleration": "2", "area": "-5", "resistance": "4", "bfield": "-8"}
5
acceleration,area,mag_flux,mass,resistance
m·a·A·R·Φ
em,mechanics
m⁴·a²·A³·R⁴·Φ⁻⁸
a = k₀ · m⁻²·A⁻³ᐟ²·R⁻²·Φ⁴
null
0
2
8
21
18.3
-8.8
false
{"mass": "4", "acceleration": "2", "area": "3", "resistance": "4", "mag_flux": "-8"}
5
acceleration,area,elem_charge,mass,resistance
m·a·A·R·e
constants,em,mechanics
m⁴·a²·A³·R⁻⁴·e⁻⁸
a = k₀ · m⁻²·A⁻³ᐟ²·R²·e⁴
null
1
3
8
21
18.9
-9.9
false
{"mass": "4", "acceleration": "2", "area": "3", "resistance": "-4", "elem_charge": "-8"}
5
acceleration,area,capacitance,efield,mass
m·a·A·C_e·E_f
em,mechanics
m²·a²·A⁻¹·C_e⁻²·E_f⁻⁴
A = k₀ · m²·a²·C_e⁻²·E_f⁻⁴
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "acceleration": "2", "area": "-1", "capacitance": "-2", "efield": "-4"}
5
acceleration,area,capacitance,elem_charge,mass
m·a·A·C_e·e
constants,em,mechanics
m²·a²·A·C_e²·e⁻⁴
A = k₀ · m⁻²·a⁻²·C_e⁻²·e⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "2", "acceleration": "2", "area": "1", "capacitance": "2", "elem_charge": "-4"}
5
acceleration,area,efield,inductance,mass
m·a·A·L_e·E_f
em,mechanics
m·a²·A⁻¹·L_e·E_f⁻²
m = k₀ · a⁻²·A·L_e⁻¹·E_f²
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "area": "-1", "inductance": "1", "efield": "-2"}
5
acceleration,area,bfield,inductance,mass
m·a·A·L_e·B
em,mechanics
m²·a²·A⁻³·L_e²·B⁻⁴
m = k₀ · a⁻¹·A³ᐟ²·L_e⁻¹·B²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "2", "area": "-3", "inductance": "2", "bfield": "-4"}
5
acceleration,area,inductance,mag_flux,mass
m·a·A·L_e·Φ
em,mechanics
m²·a²·A·L_e²·Φ⁻⁴
A = k₀ · m⁻²·a⁻²·L_e⁻²·Φ⁴
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "inductance": "2", "mag_flux": "-4"}
5
acceleration,area,efield,mass,permittivity
m·a·A·E_f·ε
em,mechanics
m·a·A⁻¹·E_f⁻²·ε⁻¹
m = k₀ · a⁻¹·A·E_f²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "area": "-1", "efield": "-2", "permittivity": "-1"}
5
acceleration,area,efield,mass,permeability
m·a·A·E_f·μ₀
em,mechanics
m²·a⁴·A⁻¹·E_f⁻⁴·μ₀²
A = k₀ · m²·a⁴·E_f⁻⁴·μ₀²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "area": "-1", "efield": "-4", "permeability": "2"}
5
acceleration,area,conductivity,efield,mass
m·a·A·E_f·σ
em,mechanics
m⁴·a⁶·A⁻⁵·E_f⁻⁸·σ⁻⁴
m = k₀ · a⁻³ᐟ²·A⁵ᐟ⁴·E_f²·σ
null
0
2
8
27
22.5
-13
false
{"mass": "4", "acceleration": "6", "area": "-5", "efield": "-8", "conductivity": "-4"}
5
acceleration,area,efield,mass,resistivity
m·a·A·E_f·ρ_e
em,mechanics
m⁴·a⁶·A⁻⁵·E_f⁻⁸·ρ_e⁴
m = k₀ · a⁻³ᐟ²·A⁵ᐟ⁴·E_f²·ρ_e⁻¹
null
0
2
8
27
22.5
-13
false
{"mass": "4", "acceleration": "6", "area": "-5", "efield": "-8", "resistivity": "4"}
5
acceleration,area,bfield,mass,permeability
m·a·A·B·μ₀
em,mechanics
m·a·A⁻¹·B⁻²·μ₀
m = k₀ · a⁻¹·A·B²·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "area": "-1", "bfield": "-2", "permeability": "1"}
5
acceleration,area,bfield,conductivity,mass
m·a·A·B·σ
em,mechanics
m⁴·a²·A⁻⁷·B⁻⁸·σ⁻⁴
a = k₀ · m⁻²·A⁷ᐟ²·B⁴·σ²
null
0
2
8
25
21.1
-11.6
false
{"mass": "4", "acceleration": "2", "area": "-7", "bfield": "-8", "conductivity": "-4"}
5
acceleration,area,bfield,mass,resistivity
m·a·A·B·ρ_e
em,mechanics
m⁴·a²·A⁻⁷·B⁻⁸·ρ_e⁴
a = k₀ · m⁻²·A⁷ᐟ²·B⁴·ρ_e⁻²
null
0
2
8
25
21.1
-11.6
false
{"mass": "4", "acceleration": "2", "area": "-7", "bfield": "-8", "resistivity": "4"}
5
acceleration,area,bfield,elem_charge,mass
m·a·A·B·e
constants,em,mechanics
m⁴·a²·A⁻¹·B⁻⁴·e⁻⁴
A = k₀ · m⁴·a²·B⁻⁴·e⁻⁴
null
1
3
4
15
12.7
-3.7
false
{"mass": "4", "acceleration": "2", "area": "-1", "bfield": "-4", "elem_charge": "-4"}
5
acceleration,area,mag_flux,mass,permeability
m·a·A·Φ·μ₀
em,mechanics
m·a·A·Φ⁻²·μ₀
m = k₀ · a⁻¹·A⁻¹·Φ²·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "area": "1", "mag_flux": "-2", "permeability": "1"}
5
acceleration,area,conductivity,mag_flux,mass
m·a·A·Φ·σ
em,mechanics
m⁴·a²·A·Φ⁻⁸·σ⁻⁴
A = k₀ · m⁻⁴·a⁻²·Φ⁸·σ⁴
null
0
2
8
19
16.9
-7.4
false
{"mass": "4", "acceleration": "2", "area": "1", "mag_flux": "-8", "conductivity": "-4"}
5
acceleration,area,mag_flux,mass,resistivity
m·a·A·Φ·ρ_e
em,mechanics
m⁴·a²·A·Φ⁻⁸·ρ_e⁴
A = k₀ · m⁻⁴·a⁻²·Φ⁸·ρ_e⁻⁴
null
0
2
8
19
16.9
-7.4
false
{"mass": "4", "acceleration": "2", "area": "1", "mag_flux": "-8", "resistivity": "4"}
5
acceleration,area,elem_charge,mag_flux,mass
m·a·A·Φ·e
constants,em,mechanics
m⁴·a²·A³·Φ⁻⁴·e⁻⁴
a = k₀ · m⁻²·A⁻³ᐟ²·Φ²·e²
null
1
3
4
17
14.1
-5.1
false
{"mass": "4", "acceleration": "2", "area": "3", "mag_flux": "-4", "elem_charge": "-4"}
5
acceleration,area,elem_charge,mass,permittivity
m·a·A·ε·e
constants,em,mechanics
m·a·A·ε·e⁻²
m = k₀ · a⁻¹·A⁻¹·ε⁻¹·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "acceleration": "1", "area": "1", "permittivity": "1", "elem_charge": "-2"}
5
acceleration,area,conductivity,elem_charge,mass
m·a·A·σ·e
constants,em,mechanics
m⁴·a²·A⁵·σ⁴·e⁻⁸
a = k₀ · m⁻²·A⁻⁵ᐟ²·σ⁻²·e⁴
null
1
3
8
23
20.3
-11.3
false
{"mass": "4", "acceleration": "2", "area": "5", "conductivity": "4", "elem_charge": "-8"}
5
acceleration,area,elem_charge,mass,resistivity
m·a·A·ρ_e·e
constants,em,mechanics
m⁴·a²·A⁵·ρ_e⁻⁴·e⁻⁸
a = k₀ · m⁻²·A⁻⁵ᐟ²·ρ_e²·e⁴
null
1
3
8
23
20.3
-11.3
false
{"mass": "4", "acceleration": "2", "area": "5", "resistivity": "-4", "elem_charge": "-8"}
5
acceleration,amount,area,mass,molar_energy
m·a·A·n·E_m
chemistry,mechanics
m²·a²·A·n⁻²·E_m⁻²
A = k₀ · m⁻²·a⁻²·n²·E_m²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "acceleration": "2", "area": "1", "amount": "-2", "molar_energy": "-2"}
5
acceleration,area,cat_activity,mass,molar_mass
m·a·A·M_m·z
chemistry,mechanics
m⁴·a²·A⁻¹·M_m⁻⁴·z⁻⁴
A = k₀ · m⁴·a²·M_m⁻⁴·z⁻⁴
null
0
2
4
15
12.1
-2.6
false
{"mass": "4", "acceleration": "2", "area": "-1", "molar_mass": "-4", "cat_activity": "-4"}
5
acceleration,area,concentration,mass,molar_energy
m·a·A·c_n·E_m
chemistry,mechanics
m·a·A⁻¹·c_n⁻¹·E_m⁻¹
m = k₀ · a⁻¹·A·c_n·E_m
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "area": "-1", "concentration": "-1", "molar_energy": "-1"}
6
acceleration,area,boltzmann,gas_constant,mass,molar_energy
m·a·A·E_m·R·k_B
chemistry,constants,mechanics
m²·a²·A·E_m⁻²·R²·k_B⁻²
A = k₀ · m⁻²·a⁻²·E_m²·R⁻²·k_B²
null
1
3
2
11
9.2
-0.2
false
{"mass": "2", "acceleration": "2", "area": "1", "molar_energy": "-2", "gas_constant": "2", "boltzmann": "-2"}
5
acceleration,area,cat_activity,mass,molar_energy
m·a·A·E_m·z
chemistry,mechanics
m⁴·a⁶·A·E_m⁻⁴·z⁻⁴
A = k₀ · m⁻⁴·a⁻⁶·E_m⁴·z⁴
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "6", "area": "1", "molar_energy": "-4", "cat_activity": "-4"}
5
acceleration,area,avogadro,mass,molar_energy
m·a·A·E_m·N_A
chemistry,constants,mechanics
m²·a²·A·E_m⁻²·N_A²
A = k₀ · m⁻²·a⁻²·E_m²·N_A⁻²
null
1
3
2
9
7.5
1.5
false
{"mass": "2", "acceleration": "2", "area": "1", "molar_energy": "-2", "avogadro": "2"}
4
acceleration,area,grav_const,mass
m·a·A·G
constants,mechanics
m·a⁻¹·A⁻¹·G
m = k₀ · a·A·G⁻¹
null
1
2
1
4
2.6
6.9
true
{"mass": "1", "acceleration": "-1", "area": "-1", "grav_const": "1"}
4
acceleration,area,mass,planck
m·a·A·h
constants,mechanics
m⁴·a²·A³·h⁻⁴
a = k₀ · m⁻²·A⁻³ᐟ²·h²
null
1
2
4
13
10.4
-0.9
false
{"mass": "4", "acceleration": "2", "area": "3", "planck": "-4"}
5
acceleration,entropy,mass,temperature,volume
m·a·V·Θ·S_e
mechanics,thermo
m³·a³·V·Θ⁻³·S_e⁻³
V = k₀ · m⁻³·a⁻³·Θ³·S_e³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "temperature": "-3", "entropy": "-3"}
5
acceleration,heat_capacity,mass,temperature,volume
m·a·V·Θ·C
mechanics,thermo
m³·a³·V·Θ⁻³·C⁻³
V = k₀ · m⁻³·a⁻³·Θ³·C³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "temperature": "-3", "heat_capacity": "-3"}
5
acceleration,mass,temperature,thermal_cond,volume
m·a·V·Θ·κ
mechanics,thermo
m⁶·a⁹·V⁻¹·Θ⁻⁶·κ⁻⁶
V = k₀ · m⁶·a⁹·Θ⁻⁶·κ⁻⁶
null
0
2
9
28
23.7
-14.2
false
{"mass": "6", "acceleration": "9", "volume": "-1", "temperature": "-6", "thermal_cond": "-6"}
6
acceleration,amount,gas_constant,mass,temperature,volume
m·a·V·Θ·n·R
chemistry,mechanics,thermo
m³·a³·V·Θ⁻³·n⁻³·R⁻³
V = k₀ · m⁻³·a⁻³·Θ³·n³·R³
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "3", "volume": "1", "temperature": "-3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,concentration,gas_constant,mass,temperature,volume
m·a·V·Θ·c_n·R
chemistry,mechanics,thermo
m³·a³·V⁻²·Θ⁻³·c_n⁻³·R⁻³
V = k₀ · m³ᐟ²·a³ᐟ²·Θ⁻³ᐟ²·c_n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
3
17
13.9
-4.9
false
{"mass": "3", "acceleration": "3", "volume": "-2", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"}
6
acceleration,cat_activity,gas_constant,mass,temperature,volume
m·a·V·Θ·R·z
chemistry,mechanics,thermo
m⁶·a⁹·V·Θ⁻⁶·R⁻⁶·z⁻⁶
V = k₀ · m⁻⁶·a⁻⁹·Θ⁶·R⁶·z⁶
null
0
3
9
34
28.8
-19.8
false
{"mass": "6", "acceleration": "9", "volume": "1", "temperature": "-6", "gas_constant": "-6", "cat_activity": "-6"}
6
acceleration,avogadro,gas_constant,mass,temperature,volume
m·a·V·Θ·R·N_A
chemistry,constants,mechanics,thermo
m³·a³·V·Θ⁻³·R⁻³·N_A³
V = k₀ · m⁻³·a⁻³·Θ³·R³·N_A⁻³
null
1
4
3
16
13.8
-5.3
false
{"mass": "3", "acceleration": "3", "volume": "1", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,boltzmann,mass,temperature,volume
m·a·V·Θ·k_B
constants,mechanics,thermo
m³·a³·V·Θ⁻³·k_B⁻³
V = k₀ · m⁻³·a⁻³·Θ³·k_B³
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "3", "volume": "1", "temperature": "-3", "boltzmann": "-3"}
5
acceleration,entropy,expansion,mass,volume
m·a·V·S_e·β
mechanics,thermo
m³·a³·V·S_e⁻³·β³
V = k₀ · m⁻³·a⁻³·S_e³·β⁻³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "entropy": "-3", "expansion": "3"}
6
acceleration,entropy,gas_constant,mass,molar_energy,volume
m·a·V·S_e·E_m·R
chemistry,mechanics,thermo
m³·a³·V·S_e⁻³·E_m⁻³·R³
V = k₀ · m⁻³·a⁻³·S_e³·E_m³·R⁻³
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "3", "volume": "1", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
acceleration,expansion,heat_capacity,mass,volume
m·a·V·C·β
mechanics,thermo
m³·a³·V·C⁻³·β³
V = k₀ · m⁻³·a⁻³·C³·β⁻³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "heat_capacity": "-3", "expansion": "3"}
6
acceleration,gas_constant,heat_capacity,mass,molar_energy,volume
m·a·V·C·E_m·R
chemistry,mechanics,thermo
m³·a³·V·C⁻³·E_m⁻³·R³
V = k₀ · m⁻³·a⁻³·C³·E_m³·R⁻³
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "3", "volume": "1", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
5
acceleration,mass,specific_heat,thermal_cond,volume
m·a·V·c·κ
mechanics,thermo
m²·a·V⁻¹·c²·κ⁻²
a = k₀ · m⁻²·V·c⁻²·κ²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "1", "volume": "-1", "specific_heat": "2", "thermal_cond": "-2"}
6
acceleration,cat_activity,gas_constant,mass,specific_heat,volume
m·a·V·c·R·z
chemistry,mechanics,thermo
m⁶·a³·V⁻¹·c⁶·R⁻⁶·z⁻⁶
V = k₀ · m⁶·a³·c⁶·R⁻⁶·z⁻⁶
null
0
3
6
28
23.1
-14.1
false
{"mass": "6", "acceleration": "3", "volume": "-1", "specific_heat": "6", "gas_constant": "-6", "cat_activity": "-6"}
5
acceleration,expansion,mass,thermal_cond,volume
m·a·V·κ·β
mechanics,thermo
m⁶·a⁹·V⁻¹·κ⁻⁶·β⁶
V = k₀ · m⁶·a⁹·κ⁻⁶·β⁶
null
0
2
9
28
23.7
-14.2
false
{"mass": "6", "acceleration": "9", "volume": "-1", "thermal_cond": "-6", "expansion": "6"}
6
acceleration,gas_constant,mass,molar_mass,thermal_cond,volume
m·a·V·κ·M_m·R
chemistry,mechanics,thermo
m²·a·V⁻¹·κ⁻²·M_m⁻²·R²
a = k₀ · m⁻²·V·κ²·M_m²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "2", "acceleration": "1", "volume": "-1", "thermal_cond": "-2", "molar_mass": "-2", "gas_constant": "2"}
6
acceleration,gas_constant,mass,molar_energy,thermal_cond,volume
m·a·V·κ·E_m·R
chemistry,mechanics,thermo
m⁶·a⁹·V⁻¹·κ⁻⁶·E_m⁻⁶·R⁶
V = k₀ · m⁶·a⁹·κ⁻⁶·E_m⁻⁶·R⁶
null
0
3
9
34
28.8
-19.8
false
{"mass": "6", "acceleration": "9", "volume": "-1", "thermal_cond": "-6", "molar_energy": "-6", "gas_constant": "6"}
6
acceleration,amount,expansion,gas_constant,mass,volume
m·a·V·β·n·R
chemistry,mechanics,thermo
m³·a³·V·β³·n⁻³·R⁻³
V = k₀ · m⁻³·a⁻³·β⁻³·n³·R³
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "3", "volume": "1", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,concentration,expansion,gas_constant,mass,volume
m·a·V·β·c_n·R
chemistry,mechanics,thermo
m³·a³·V⁻²·β³·c_n⁻³·R⁻³
V = k₀ · m³ᐟ²·a³ᐟ²·β³ᐟ²·c_n⁻³ᐟ²·R⁻³ᐟ²
null
0
3
3
17
13.9
-4.9
false
{"mass": "3", "acceleration": "3", "volume": "-2", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
acceleration,cat_activity,expansion,gas_constant,mass,volume
m·a·V·β·R·z
chemistry,mechanics,thermo
m⁶·a⁹·V·β⁶·R⁻⁶·z⁻⁶
V = k₀ · m⁻⁶·a⁻⁹·β⁻⁶·R⁶·z⁶
null
0
3
9
34
28.8
-19.8
false
{"mass": "6", "acceleration": "9", "volume": "1", "expansion": "6", "gas_constant": "-6", "cat_activity": "-6"}
6
acceleration,avogadro,expansion,gas_constant,mass,volume
m·a·V·β·R·N_A
chemistry,constants,mechanics,thermo
m³·a³·V·β³·R⁻³·N_A³
V = k₀ · m⁻³·a⁻³·β⁻³·R³·N_A⁻³
null
1
4
3
16
13.8
-5.3
false
{"mass": "3", "acceleration": "3", "volume": "1", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,boltzmann,expansion,mass,volume
m·a·V·β·k_B
constants,mechanics,thermo
m³·a³·V·β³·k_B⁻³
V = k₀ · m⁻³·a⁻³·β⁻³·k_B³
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "3", "volume": "1", "expansion": "3", "boltzmann": "-3"}
5
acceleration,charge,mass,voltage,volume
m·a·V·q·U
em,mechanics
m³·a³·V·q⁻³·U⁻³
V = k₀ · m⁻³·a⁻³·q³·U³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "charge": "-3", "voltage": "-3"}
5
acceleration,charge,mass,resistance,volume
m·a·V·q·R
em,mechanics
m²·a·V·q⁻⁴·R⁻²
a = k₀ · m⁻²·V⁻¹·q⁴·R²
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "acceleration": "1", "volume": "1", "charge": "-4", "resistance": "-2"}
5
acceleration,capacitance,charge,mass,volume
m·a·V·q·C_e
em,mechanics
m³·a³·V·q⁻⁶·C_e³
V = k₀ · m⁻³·a⁻³·q⁶·C_e⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "3", "volume": "1", "charge": "-6", "capacitance": "3"}
5
acceleration,bfield,charge,mass,volume
m·a·V·q·B
em,mechanics
m⁶·a³·V⁻¹·q⁻⁶·B⁻⁶
V = k₀ · m⁶·a³·q⁻⁶·B⁻⁶
null
0
2
6
22
18
-8.5
false
{"mass": "6", "acceleration": "3", "volume": "-1", "charge": "-6", "bfield": "-6"}
5
acceleration,charge,mag_flux,mass,volume
m·a·V·q·Φ
em,mechanics
m²·a·V·q⁻²·Φ⁻²
a = k₀ · m⁻²·V⁻¹·q²·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "1", "volume": "1", "charge": "-2", "mag_flux": "-2"}
5
acceleration,charge,mass,permittivity,volume
m·a·V·q·ε
em,mechanics
m³·a³·V²·q⁻⁶·ε³
V = k₀ · m⁻³ᐟ²·a⁻³ᐟ²·q³·ε⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "3", "volume": "2", "charge": "-6", "permittivity": "3"}
5
acceleration,charge,conductivity,mass,volume
m·a·V·q·σ
em,mechanics
m⁶·a³·V⁵·q⁻¹²·σ⁶
a = k₀ · m⁻²·V⁻⁵ᐟ³·q⁴·σ⁻²
null
0
2
12
32
28
-18.5
false
{"mass": "6", "acceleration": "3", "volume": "5", "charge": "-12", "conductivity": "6"}
5
acceleration,charge,mass,resistivity,volume
m·a·V·q·ρ_e
em,mechanics
m⁶·a³·V⁵·q⁻¹²·ρ_e⁻⁶
a = k₀ · m⁻²·V⁻⁵ᐟ³·q⁴·ρ_e²
null
0
2
12
32
28
-18.5
false
{"mass": "6", "acceleration": "3", "volume": "5", "charge": "-12", "resistivity": "-6"}
5
acceleration,current,mass,voltage,volume
m·a·V·i·U
em,mechanics
m⁶·a⁹·V·i⁻⁶·U⁻⁶
V = k₀ · m⁻⁶·a⁻⁹·i⁶·U⁶
null
0
2
9
28
23.7
-14.2
false
{"mass": "6", "acceleration": "9", "volume": "1", "current": "-6", "voltage": "-6"}
5
acceleration,current,mass,resistance,volume
m·a·V·i·R
em,mechanics
m⁶·a⁹·V·i⁻¹²·R⁻⁶
V = k₀ · m⁻⁶·a⁻⁹·i¹²·R⁶
null
0
2
12
34
29.4
-19.9
false
{"mass": "6", "acceleration": "9", "volume": "1", "current": "-12", "resistance": "-6"}
5
acceleration,current,inductance,mass,volume
m·a·V·i·L_e
em,mechanics
m³·a³·V·i⁻⁶·L_e⁻³
V = k₀ · m⁻³·a⁻³·i⁶·L_e³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "3", "volume": "1", "current": "-6", "inductance": "-3"}
5
acceleration,current,efield,mass,volume
m·a·V·i·E_f
em,mechanics
m⁶·a⁹·V⁻¹·i⁻⁶·E_f⁻⁶
V = k₀ · m⁶·a⁹·i⁻⁶·E_f⁻⁶
null
0
2
9
28
23.7
-14.2
false
{"mass": "6", "acceleration": "9", "volume": "-1", "current": "-6", "efield": "-6"}
5
acceleration,bfield,current,mass,volume
m·a·V·i·B
em,mechanics
m³·a³·V⁻¹·i⁻³·B⁻³
V = k₀ · m³·a³·i⁻³·B⁻³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "-1", "current": "-3", "bfield": "-3"}
5
acceleration,current,mag_flux,mass,volume
m·a·V·i·Φ
em,mechanics
m³·a³·V·i⁻³·Φ⁻³
V = k₀ · m⁻³·a⁻³·i³·Φ³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "current": "-3", "mag_flux": "-3"}
5
acceleration,current,mass,permittivity,volume
m·a·V·i·ε
em,mechanics
m³·a⁶·V·i⁻⁶·ε³
V = k₀ · m⁻³·a⁻⁶·i⁶·ε⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "acceleration": "6", "volume": "1", "current": "-6", "permittivity": "3"}
5
acceleration,conductivity,current,mass,volume
m·a·V·i·σ
em,mechanics
m²·a³·V·i⁻⁴·σ²
V = k₀ · m⁻²·a⁻³·i⁴·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "acceleration": "3", "volume": "1", "current": "-4", "conductivity": "2"}
5
acceleration,current,mass,resistivity,volume
m·a·V·i·ρ_e
em,mechanics
m²·a³·V·i⁻⁴·ρ_e⁻²
V = k₀ · m⁻²·a⁻³·i⁴·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "acceleration": "3", "volume": "1", "current": "-4", "resistivity": "-2"}
5
acceleration,mass,resistance,voltage,volume
m·a·V·U·R
em,mechanics
m⁶·a⁹·V·U⁻¹²·R⁶
V = k₀ · m⁻⁶·a⁻⁹·U¹²·R⁻⁶
null
0
2
12
34
29.4
-19.9
false
{"mass": "6", "acceleration": "9", "volume": "1", "voltage": "-12", "resistance": "6"}
5
acceleration,capacitance,mass,voltage,volume
m·a·V·U·C_e
em,mechanics
m³·a³·V·U⁻⁶·C_e⁻³
V = k₀ · m⁻³·a⁻³·U⁶·C_e³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "3", "volume": "1", "voltage": "-6", "capacitance": "-3"}
5
acceleration,mass,permeability,voltage,volume
m·a·V·U·μ₀
em,mechanics
m³·a⁶·V·U⁻⁶·μ₀³
V = k₀ · m⁻³·a⁻⁶·U⁶·μ₀⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "acceleration": "6", "volume": "1", "voltage": "-6", "permeability": "3"}
5
acceleration,conductivity,mass,voltage,volume
m·a·V·U·σ
em,mechanics
m⁶·a⁹·V⁻¹·U⁻¹²·σ⁻⁶
V = k₀ · m⁶·a⁹·U⁻¹²·σ⁻⁶
null
0
2
12
34
29.4
-19.9
false
{"mass": "6", "acceleration": "9", "volume": "-1", "voltage": "-12", "conductivity": "-6"}
5
acceleration,mass,resistivity,voltage,volume
m·a·V·U·ρ_e
em,mechanics
m⁶·a⁹·V⁻¹·U⁻¹²·ρ_e⁶
V = k₀ · m⁶·a⁹·U⁻¹²·ρ_e⁶
null
0
2
12
34
29.4
-19.9
false
{"mass": "6", "acceleration": "9", "volume": "-1", "voltage": "-12", "resistivity": "6"}
5
acceleration,elem_charge,mass,voltage,volume
m·a·V·U·e
constants,em,mechanics
m³·a³·V·U⁻³·e⁻³
V = k₀ · m⁻³·a⁻³·U³·e³
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "3", "volume": "1", "voltage": "-3", "elem_charge": "-3"}
5
acceleration,efield,mass,resistance,volume
m·a·V·R·E_f
em,mechanics
m²·a³·V⁻¹·R²·E_f⁻⁴
V = k₀ · m²·a³·R²·E_f⁻⁴
null
0
2
4
12
10
-0.5
false
{"mass": "2", "acceleration": "3", "volume": "-1", "resistance": "2", "efield": "-4"}
5
acceleration,bfield,mass,resistance,volume
m·a·V·R·B
em,mechanics
m⁶·a³·V⁻⁵·R⁶·B⁻¹²
a = k₀ · m⁻²·V⁵ᐟ³·R⁻²·B⁴
null
0
2
12
32
28
-18.5
false
{"mass": "6", "acceleration": "3", "volume": "-5", "resistance": "6", "bfield": "-12"}
5
acceleration,mag_flux,mass,resistance,volume
m·a·V·R·Φ
em,mechanics
m²·a·V·R²·Φ⁻⁴
a = k₀ · m⁻²·V⁻¹·R⁻²·Φ⁴
null
0
2
4
10
8.6
0.9
false
{"mass": "2", "acceleration": "1", "volume": "1", "resistance": "2", "mag_flux": "-4"}
5
acceleration,elem_charge,mass,resistance,volume
m·a·V·R·e
constants,em,mechanics
m²·a·V·R⁻²·e⁻⁴
a = k₀ · m⁻²·V⁻¹·R²·e⁴
null
1
3
4
10
9.2
-0.2
false
{"mass": "2", "acceleration": "1", "volume": "1", "resistance": "-2", "elem_charge": "-4"}
5
acceleration,capacitance,efield,mass,volume
m·a·V·C_e·E_f
em,mechanics
m³·a³·V⁻¹·C_e⁻³·E_f⁻⁶
V = k₀ · m³·a³·C_e⁻³·E_f⁻⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "3", "volume": "-1", "capacitance": "-3", "efield": "-6"}