Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
8
keys
stringlengths
10
106
symbols
stringlengths
3
29
domains
stringclasses
62 values
pi
stringlengths
3
46
equation
stringlengths
10
59
name
stringclasses
19 values
n_const
int64
0
4
n_domains
int64
1
6
max_exp
int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
5
acceleration,action,efield,mass,resistance
m·a·S·R·E_f
em,mechanics
m²·a²·S⁻¹·R·E_f⁻²
S = k₀ · m²·a²·R·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "action": "-1", "resistance": "1", "efield": "-2"}
5
acceleration,action,bfield,mass,resistance
m·a·S·R·B
em,mechanics
m⁸·a⁴·S⁻⁵·R³·B⁻⁶
R = k₀ · m⁻⁸ᐟ³·a⁻⁴ᐟ³·S⁵ᐟ³·B²
null
0
2
8
26
21.8
-12.3
false
{"mass": "8", "acceleration": "4", "action": "-5", "resistance": "3", "bfield": "-6"}
5
acceleration,action,mass,permittivity,resistance
m·a·S·R·ε
em,mechanics
m·a⁻¹·S⁻¹·R⁻³·ε⁻³
m = k₀ · a·S·R³·ε³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "action": "-1", "resistance": "-3", "permittivity": "-3"}
5
acceleration,action,mass,permeability,resistance
m·a·S·R·μ₀
em,mechanics
m·a⁻¹·S⁻¹·R³·μ₀⁻³
m = k₀ · a·S·R⁻³·μ₀³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "action": "-1", "resistance": "3", "permeability": "-3"}
5
acceleration,action,conductivity,mass,resistance
m·a·S·R·σ
em,mechanics
m²·a·S⁻²·R⁻³·σ⁻³
a = k₀ · m⁻²·S²·R³·σ³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "action": "-2", "resistance": "-3", "conductivity": "-3"}
5
acceleration,action,mass,resistance,resistivity
m·a·S·R·ρ_e
em,mechanics
m²·a·S⁻²·R⁻³·ρ_e³
a = k₀ · m⁻²·S²·R³·ρ_e⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "action": "-2", "resistance": "-3", "resistivity": "3"}
5
acceleration,action,capacitance,inductance,mass
m·a·S·C_e·L_e
em,mechanics
m²·a⁴·S⁻²·C_e³·L_e³
m = k₀ · a⁻²·S·C_e⁻³ᐟ²·L_e⁻³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "acceleration": "4", "action": "-2", "capacitance": "3", "inductance": "3"}
5
acceleration,action,capacitance,efield,mass
m·a·S·C_e·E_f
em,mechanics
m⁵·a⁴·S⁻²·C_e⁻³·E_f⁻⁶
S = k₀ · m⁵ᐟ²·a²·C_e⁻³ᐟ²·E_f⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "4", "action": "-2", "capacitance": "-3", "efield": "-6"}
5
acceleration,action,bfield,capacitance,mass
m·a·S·C_e·B
em,mechanics
m⁷·a²·S⁻⁴·C_e⁻³·B⁻⁶
a = k₀ · m⁻⁷ᐟ²·S²·C_e³ᐟ²·B³
null
0
2
7
22
18.5
-9
false
{"mass": "7", "acceleration": "2", "action": "-4", "capacitance": "-3", "bfield": "-6"}
5
acceleration,action,capacitance,mag_flux,mass
m·a·S·C_e·Φ
em,mechanics
m·a²·S⁻⁴·C_e³·Φ⁶
m = k₀ · a⁻²·S⁴·C_e⁻³·Φ⁻⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "acceleration": "2", "action": "-4", "capacitance": "3", "mag_flux": "6"}
5
acceleration,action,capacitance,mass,permittivity
m·a·S·C_e·ε
em,mechanics
m²·a·S⁻²·C_e³·ε⁻³
a = k₀ · m⁻²·S²·C_e⁻³·ε³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "action": "-2", "capacitance": "3", "permittivity": "-3"}
5
acceleration,action,capacitance,conductivity,mass
m·a·S·C_e·σ
em,mechanics
m·a·S⁻¹·C_e·σ⁻¹
m = k₀ · a⁻¹·S·C_e⁻¹·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "action": "-1", "capacitance": "1", "conductivity": "-1"}
5
acceleration,action,capacitance,mass,resistivity
m·a·S·C_e·ρ_e
em,mechanics
m·a·S⁻¹·C_e·ρ_e
m = k₀ · a⁻¹·S·C_e⁻¹·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "action": "-1", "capacitance": "1", "resistivity": "1"}
5
acceleration,action,capacitance,elem_charge,mass
m·a·S·C_e·e
constants,em,mechanics
m·a²·S²·C_e³·e⁻⁶
m = k₀ · a⁻²·S⁻²·C_e⁻³·e⁶
null
1
3
6
14
13
-4
false
{"mass": "1", "acceleration": "2", "action": "2", "capacitance": "3", "elem_charge": "-6"}
5
acceleration,action,efield,inductance,mass
m·a·S·L_e·E_f
em,mechanics
m⁷·a⁸·S⁻⁴·L_e³·E_f⁻⁶
L_e = k₀ · m⁻⁷ᐟ³·a⁻⁸ᐟ³·S⁴ᐟ³·E_f²
null
0
2
8
28
23.2
-13.7
false
{"mass": "7", "acceleration": "8", "action": "-4", "inductance": "3", "efield": "-6"}
5
acceleration,action,bfield,inductance,mass
m·a·S·L_e·B
em,mechanics
m³·a²·S⁻²·L_e·B⁻²
L_e = k₀ · m⁻³·a⁻²·S²·B²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "action": "-2", "inductance": "1", "bfield": "-2"}
5
acceleration,action,inductance,mag_flux,mass
m·a·S·L_e·Φ
em,mechanics
m·a²·S²·L_e³·Φ⁻⁶
m = k₀ · a⁻²·S⁻²·L_e⁻³·Φ⁶
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "acceleration": "2", "action": "2", "inductance": "3", "mag_flux": "-6"}
5
acceleration,action,inductance,mass,permeability
m·a·S·L_e·μ₀
em,mechanics
m²·a·S⁻²·L_e³·μ₀⁻³
a = k₀ · m⁻²·S²·L_e⁻³·μ₀³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "action": "-2", "inductance": "3", "permeability": "-3"}
5
acceleration,action,conductivity,inductance,mass
m·a·S·L_e·σ
em,mechanics
m·a⁻¹·S⁻¹·L_e⁻³·σ⁻³
m = k₀ · a·S·L_e³·σ³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "action": "-1", "inductance": "-3", "conductivity": "-3"}
5
acceleration,action,inductance,mass,resistivity
m·a·S·L_e·ρ_e
em,mechanics
m·a⁻¹·S⁻¹·L_e⁻³·ρ_e³
m = k₀ · a·S·L_e³·ρ_e⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "action": "-1", "inductance": "-3", "resistivity": "3"}
5
acceleration,action,elem_charge,inductance,mass
m·a·S·L_e·e
constants,em,mechanics
m·a²·S⁻⁴·L_e³·e⁶
m = k₀ · a⁻²·S⁴·L_e⁻³·e⁻⁶
null
1
3
6
16
14.4
-5.4
false
{"mass": "1", "acceleration": "2", "action": "-4", "inductance": "3", "elem_charge": "6"}
5
acceleration,action,bfield,efield,mass
m·a·S·E_f·B
em,mechanics
m·a⁻¹·S⁻¹·E_f³·B⁻³
m = k₀ · a·S·E_f⁻³·B³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "action": "-1", "efield": "3", "bfield": "-3"}
5
acceleration,action,efield,mag_flux,mass
m·a·S·E_f·Φ
em,mechanics
m·a·S⁻¹·E_f⁻¹·Φ
m = k₀ · a⁻¹·S·E_f·Φ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "action": "-1", "efield": "-1", "mag_flux": "1"}
5
acceleration,action,efield,mass,permittivity
m·a·S·E_f·ε
em,mechanics
m⁷·a⁵·S⁻⁴·E_f⁻⁶·ε⁻³
ε = k₀ · m⁷ᐟ³·a⁵ᐟ³·S⁻⁴ᐟ³·E_f⁻²
null
0
2
7
25
20.6
-11.1
false
{"mass": "7", "acceleration": "5", "action": "-4", "efield": "-6", "permittivity": "-3"}
5
acceleration,action,efield,mass,permeability
m·a·S·E_f·μ₀
em,mechanics
m⁵·a⁷·S⁻²·E_f⁻⁶·μ₀³
S = k₀ · m⁵ᐟ²·a⁷ᐟ²·E_f⁻³·μ₀³ᐟ²
null
0
2
7
23
19.2
-9.7
false
{"mass": "5", "acceleration": "7", "action": "-2", "efield": "-6", "permeability": "3"}
5
acceleration,action,conductivity,efield,mass
m·a·S·E_f·σ
em,mechanics
m⁸·a⁷·S⁻⁵·E_f⁻⁶·σ⁻³
σ = k₀ · m⁸ᐟ³·a⁷ᐟ³·S⁻⁵ᐟ³·E_f⁻²
null
0
2
8
29
23.9
-14.4
false
{"mass": "8", "acceleration": "7", "action": "-5", "efield": "-6", "conductivity": "-3"}
5
acceleration,action,efield,mass,resistivity
m·a·S·E_f·ρ_e
em,mechanics
m⁸·a⁷·S⁻⁵·E_f⁻⁶·ρ_e³
ρ_e = k₀ · m⁻⁸ᐟ³·a⁻⁷ᐟ³·S⁵ᐟ³·E_f²
null
0
2
8
29
23.9
-14.4
false
{"mass": "8", "acceleration": "7", "action": "-5", "efield": "-6", "resistivity": "3"}
5
acceleration,action,bfield,mag_flux,mass
m·a·S·B·Φ
em,mechanics
m⁴·a²·S⁻⁴·B⁻³·Φ³
a = k₀ · m⁻²·S²·B³ᐟ²·Φ⁻³ᐟ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "4", "acceleration": "2", "action": "-4", "bfield": "-3", "mag_flux": "3"}
5
acceleration,action,bfield,mass,permittivity
m·a·S·B·ε
em,mechanics
m³·a·S⁻²·B⁻²·ε⁻¹
a = k₀ · m⁻³·S²·B²·ε
null
0
2
3
9
7.4
2.1
false
{"mass": "3", "acceleration": "1", "action": "-2", "bfield": "-2", "permittivity": "-1"}
5
acceleration,action,bfield,mass,permeability
m·a·S·B·μ₀
em,mechanics
m⁷·a⁵·S⁻⁴·B⁻⁶·μ₀³
μ₀ = k₀ · m⁻⁷ᐟ³·a⁻⁵ᐟ³·S⁴ᐟ³·B²
null
0
2
7
25
20.6
-11.1
false
{"mass": "7", "acceleration": "5", "action": "-4", "bfield": "-6", "permeability": "3"}
5
acceleration,action,bfield,conductivity,mass
m·a·S·B·σ
em,mechanics
m¹⁰·a⁵·S⁻⁷·B⁻⁶·σ⁻³
σ = k₀ · m¹⁰ᐟ³·a⁵ᐟ³·S⁻⁷ᐟ³·B⁻²
null
0
2
10
31
26.3
-16.8
false
{"mass": "10", "acceleration": "5", "action": "-7", "bfield": "-6", "conductivity": "-3"}
5
acceleration,action,bfield,mass,resistivity
m·a·S·B·ρ_e
em,mechanics
m¹⁰·a⁵·S⁻⁷·B⁻⁶·ρ_e³
ρ_e = k₀ · m⁻¹⁰ᐟ³·a⁻⁵ᐟ³·S⁷ᐟ³·B²
null
0
2
10
31
26.3
-16.8
false
{"mass": "10", "acceleration": "5", "action": "-7", "bfield": "-6", "resistivity": "3"}
5
acceleration,action,bfield,elem_charge,mass
m·a·S·B·e
constants,em,mechanics
m⁴·a²·S⁻¹·B⁻³·e⁻³
S = k₀ · m⁴·a²·B⁻³·e⁻³
null
1
3
4
13
11.3
-2.3
false
{"mass": "4", "acceleration": "2", "action": "-1", "bfield": "-3", "elem_charge": "-3"}
5
acceleration,action,mag_flux,mass,permittivity
m·a·S·Φ·ε
em,mechanics
m·a⁻¹·S²·Φ⁻⁶·ε⁻³
m = k₀ · a·S⁻²·Φ⁶·ε³
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "acceleration": "-1", "action": "2", "mag_flux": "-6", "permittivity": "-3"}
5
acceleration,action,mag_flux,mass,permeability
m·a·S·Φ·μ₀
em,mechanics
m·a⁻¹·S⁻⁴·Φ⁶·μ₀⁻³
m = k₀ · a·S⁴·Φ⁻⁶·μ₀³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "acceleration": "-1", "action": "-4", "mag_flux": "6", "permeability": "-3"}
5
acceleration,action,conductivity,mag_flux,mass
m·a·S·Φ·σ
em,mechanics
m²·a·S·Φ⁻⁶·σ⁻³
a = k₀ · m⁻²·S⁻¹·Φ⁶·σ³
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "acceleration": "1", "action": "1", "mag_flux": "-6", "conductivity": "-3"}
5
acceleration,action,mag_flux,mass,resistivity
m·a·S·Φ·ρ_e
em,mechanics
m²·a·S·Φ⁻⁶·ρ_e³
a = k₀ · m⁻²·S⁻¹·Φ⁶·ρ_e⁻³
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "acceleration": "1", "action": "1", "mag_flux": "-6", "resistivity": "3"}
5
acceleration,action,mass,permeability,permittivity
m·a·S·ε·μ₀
em,mechanics
m²·a⁻²·S⁻²·ε⁻³·μ₀⁻³
m = k₀ · a·S·ε³ᐟ²·μ₀³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "acceleration": "-2", "action": "-2", "permittivity": "-3", "permeability": "-3"}
5
acceleration,action,conductivity,mass,permittivity
m·a·S·ε·σ
em,mechanics
m·a²·S⁻¹·ε³·σ⁻³
m = k₀ · a⁻²·S·ε⁻³·σ³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "action": "-1", "permittivity": "3", "conductivity": "-3"}
5
acceleration,action,mass,permittivity,resistivity
m·a·S·ε·ρ_e
em,mechanics
m·a²·S⁻¹·ε³·ρ_e³
m = k₀ · a⁻²·S·ε⁻³·ρ_e⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "action": "-1", "permittivity": "3", "resistivity": "3"}
5
acceleration,action,elem_charge,mass,permittivity
m·a·S·ε·e
constants,em,mechanics
m·a⁻¹·S⁻⁴·ε⁻³·e⁶
m = k₀ · a·S⁴·ε³·e⁻⁶
null
1
3
6
15
13.7
-4.7
false
{"mass": "1", "acceleration": "-1", "action": "-4", "permittivity": "-3", "elem_charge": "6"}
5
acceleration,action,elem_charge,mass,permeability
m·a·S·μ₀·e
constants,em,mechanics
m·a⁻¹·S²·μ₀⁻³·e⁻⁶
m = k₀ · a·S⁻²·μ₀³·e⁶
null
1
3
6
13
12.3
-3.3
false
{"mass": "1", "acceleration": "-1", "action": "2", "permeability": "-3", "elem_charge": "-6"}
5
acceleration,action,conductivity,elem_charge,mass
m·a·S·σ·e
constants,em,mechanics
m²·a·S⁻⁵·σ⁻³·e⁶
a = k₀ · m⁻²·S⁵·σ³·e⁻⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "2", "acceleration": "1", "action": "-5", "conductivity": "-3", "elem_charge": "6"}
5
acceleration,action,elem_charge,mass,resistivity
m·a·S·ρ_e·e
constants,em,mechanics
m²·a·S⁻⁵·ρ_e³·e⁶
a = k₀ · m⁻²·S⁵·ρ_e⁻³·e⁻⁶
null
1
3
6
17
15.1
-6.1
false
{"mass": "2", "acceleration": "1", "action": "-5", "resistivity": "3", "elem_charge": "6"}
5
acceleration,action,amount,concentration,mass
m·a·S·n·c_n
chemistry,mechanics
m²·a·S⁻²·n·c_n⁻¹
a = k₀ · m⁻²·S²·n⁻¹·c_n
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "action": "-2", "amount": "1", "concentration": "-1"}
5
acceleration,action,amount,mass,molar_energy
m·a·S·n·E_m
chemistry,mechanics
m·a²·S²·n⁻³·E_m⁻³
m = k₀ · a⁻²·S⁻²·n³·E_m³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "2", "action": "2", "amount": "-3", "molar_energy": "-3"}
5
acceleration,action,amount,cat_activity,mass
m·a·S·n·z
chemistry,mechanics
m·a²·S⁻¹·n³·z⁻³
m = k₀ · a⁻²·S·n⁻³·z³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "action": "-1", "amount": "3", "cat_activity": "-3"}
5
acceleration,action,concentration,mass,molar_mass
m·a·S·M_m·c_n
chemistry,mechanics
m³·a·S⁻²·M_m⁻¹·c_n⁻¹
a = k₀ · m⁻³·S²·M_m·c_n
null
0
2
3
8
6.7
2.8
true
{"mass": "3", "acceleration": "1", "action": "-2", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,action,mass,molar_energy,molar_mass
m·a·S·M_m·E_m
chemistry,mechanics
m²·a⁻²·S⁻²·M_m⁻³·E_m³
m = k₀ · a·S·M_m³ᐟ²·E_m⁻³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "acceleration": "-2", "action": "-2", "molar_mass": "-3", "molar_energy": "3"}
5
acceleration,action,cat_activity,mass,molar_mass
m·a·S·M_m·z
chemistry,mechanics
m⁴·a²·S⁻¹·M_m⁻³·z⁻³
S = k₀ · m⁴·a²·M_m⁻³·z⁻³
null
0
2
4
13
10.7
-1.2
false
{"mass": "4", "acceleration": "2", "action": "-1", "molar_mass": "-3", "cat_activity": "-3"}
5
acceleration,action,concentration,mass,molar_energy
m·a·S·c_n·E_m
chemistry,mechanics
m⁷·a⁵·S⁻⁴·c_n⁻³·E_m⁻³
c_n = k₀ · m⁷ᐟ³·a⁵ᐟ³·S⁻⁴ᐟ³·E_m⁻¹
null
0
2
7
22
18.5
-9
false
{"mass": "7", "acceleration": "5", "action": "-4", "concentration": "-3", "molar_energy": "-3"}
6
acceleration,action,boltzmann,concentration,gas_constant,mass
m·a·S·c_n·R·k_B
chemistry,constants,mechanics
m²·a·S⁻²·c_n⁻¹·R⁻¹·k_B
a = k₀ · m⁻²·S²·c_n·R·k_B⁻¹
null
1
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "1", "action": "-2", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
5
acceleration,action,cat_activity,concentration,mass
m·a·S·c_n·z
chemistry,mechanics
m⁵·a·S⁻⁵·c_n⁻³·z³
a = k₀ · m⁻⁵·S⁵·c_n³·z⁻³
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "1", "action": "-5", "concentration": "-3", "cat_activity": "3"}
5
acceleration,action,avogadro,concentration,mass
m·a·S·c_n·N_A
chemistry,constants,mechanics
m²·a·S⁻²·c_n⁻¹·N_A⁻¹
a = k₀ · m⁻²·S²·c_n·N_A
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "1", "action": "-2", "concentration": "-1", "avogadro": "-1"}
6
acceleration,action,boltzmann,gas_constant,mass,molar_energy
m·a·S·E_m·R·k_B
chemistry,constants,mechanics
m·a²·S²·E_m⁻³·R³·k_B⁻³
m = k₀ · a⁻²·S⁻²·E_m³·R⁻³·k_B³
null
1
3
3
14
11.8
-2.8
false
{"mass": "1", "acceleration": "2", "action": "2", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
acceleration,action,cat_activity,mass,molar_energy
m·a·S·E_m·z
chemistry,mechanics
m²·a⁴·S·E_m⁻³·z⁻³
S = k₀ · m⁻²·a⁻⁴·E_m³·z³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "action": "1", "molar_energy": "-3", "cat_activity": "-3"}
5
acceleration,action,avogadro,mass,molar_energy
m·a·S·E_m·N_A
chemistry,constants,mechanics
m·a²·S²·E_m⁻³·N_A³
m = k₀ · a⁻²·S⁻²·E_m³·N_A⁻³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "acceleration": "2", "action": "2", "molar_energy": "-3", "avogadro": "3"}
6
acceleration,action,boltzmann,cat_activity,gas_constant,mass
m·a·S·R·z·k_B
chemistry,constants,mechanics
m·a²·S⁻¹·R⁻³·z⁻³·k_B³
m = k₀ · a⁻²·S·R³·z³·k_B⁻³
null
1
3
3
13
11.1
-2.1
false
{"mass": "1", "acceleration": "2", "action": "-1", "gas_constant": "-3", "cat_activity": "-3", "boltzmann": "3"}
5
acceleration,action,avogadro,cat_activity,mass
m·a·S·z·N_A
chemistry,constants,mechanics
m·a²·S⁻¹·z⁻³·N_A⁻³
m = k₀ · a⁻²·S·z³·N_A³
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "acceleration": "2", "action": "-1", "cat_activity": "-3", "avogadro": "-3"}
5
acceleration,action,illuminance,lum_intensity,mass
m·a·S·I_v·E_v
mechanics,photometry
m⁴·a²·S⁻⁴·I_v³·E_v⁻³
a = k₀ · m⁻²·S²·I_v⁻³ᐟ²·E_v³ᐟ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "4", "acceleration": "2", "action": "-4", "lum_intensity": "3", "illuminance": "-3"}
5
acceleration,action,lum_intensity,luminance,mass
m·a·S·I_v·L_v
mechanics,photometry
m⁴·a²·S⁻⁴·I_v³·L_v⁻³
a = k₀ · m⁻²·S²·I_v⁻³ᐟ²·L_v³ᐟ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "4", "acceleration": "2", "action": "-4", "lum_intensity": "3", "luminance": "-3"}
4
acceleration,action,light_speed,mass
m·a·S·c₀
constants,mechanics
m·a⁻¹·S⁻¹·c₀³
m = k₀ · a·S·c₀⁻³
null
1
2
3
6
5
4.5
true
{"mass": "1", "acceleration": "-1", "action": "-1", "light_speed": "3"}
4
acceleration,action,grav_const,mass
m·a·S·G
constants,mechanics
m⁷·a⁻¹·S⁻⁴·G³
a = k₀ · m⁷·S⁻⁴·G³
null
1
2
7
15
13.3
-3.8
false
{"mass": "7", "acceleration": "-1", "action": "-4", "grav_const": "3"}
4
acceleration,inertia,mass,pressure
m·a·J·P_p
mechanics
m²·a·J⁻¹·P_p⁻¹
a = k₀ · m⁻²·J·P_p
null
0
1
2
5
3.2
6.8
true
{"mass": "2", "acceleration": "1", "inertia": "-1", "pressure": "-1"}
4
acceleration,inertia,mass,viscosity
m·a·J·μ
mechanics
m⁷·a²·J⁻³·μ⁻⁴
a = k₀ · m⁻⁷ᐟ²·J³ᐟ²·μ²
null
0
1
7
16
13.4
-3.4
false
{"mass": "7", "acceleration": "2", "inertia": "-3", "viscosity": "-4"}
4
acceleration,inertia,kin_viscosity,mass
m·a·J·ν
mechanics
m³·a⁻²·J⁻³·ν⁴
a = k₀ · m³ᐟ²·J⁻³ᐟ²·ν²
null
0
1
4
12
9.1
0.9
false
{"mass": "3", "acceleration": "-2", "inertia": "-3", "kin_viscosity": "4"}
4
acceleration,inertia,mass,omega
m·a·J·ω
mechanics
m·a²·J⁻¹·ω⁻⁴
m = k₀ · a⁻²·J·ω⁴
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "omega": "-4"}
4
acceleration,frequency,inertia,mass
m·a·J·f
mechanics
m·a²·J⁻¹·f⁻⁴
m = k₀ · a⁻²·J·f⁴
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "frequency": "-4"}
4
acceleration,inertia,mass,stiffness
m·a·J·k
mechanics
m³·a²·J⁻¹·k⁻²
J = k₀ · m³·a²·k⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "3", "acceleration": "2", "inertia": "-1", "stiffness": "-2"}
4
acceleration,inertia,mass,surf_tension
m·a·J·γ
mechanics
m³·a²·J⁻¹·γ⁻²
J = k₀ · m³·a²·γ⁻²
null
0
1
3
8
5.8
4.2
true
{"mass": "3", "acceleration": "2", "inertia": "-1", "surf_tension": "-2"}
4
acceleration,flowrate,inertia,mass
m·a·J·Q
mechanics
m⁵·a⁻²·J⁻⁵·Q⁴
a = k₀ · m⁵ᐟ²·J⁻⁵ᐟ²·Q²
null
0
1
5
16
12.4
-2.4
false
{"mass": "5", "acceleration": "-2", "inertia": "-5", "flowrate": "4"}
5
acceleration,entropy,inertia,mass,temperature
m·a·J·Θ·S_e
mechanics,thermo
m·a²·J·Θ⁻²·S_e⁻²
m = k₀ · a⁻²·J⁻¹·Θ²·S_e²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "temperature": "-2", "entropy": "-2"}
5
acceleration,heat_capacity,inertia,mass,temperature
m·a·J·Θ·C
mechanics,thermo
m·a²·J·Θ⁻²·C⁻²
m = k₀ · a⁻²·J⁻¹·Θ²·C²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "temperature": "-2", "heat_capacity": "-2"}
5
acceleration,inertia,mass,specific_heat,temperature
m·a·J·Θ·c
mechanics,thermo
m·a⁻²·J⁻¹·Θ²·c²
m = k₀ · a²·J·Θ⁻²·c⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "-2", "inertia": "-1", "temperature": "2", "specific_heat": "2"}
5
acceleration,inertia,mass,temperature,thermal_cond
m·a·J·Θ·κ
mechanics,thermo
m⁵·a⁶·J⁻¹·Θ⁻⁴·κ⁻⁴
J = k₀ · m⁵·a⁶·Θ⁻⁴·κ⁻⁴
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "inertia": "-1", "temperature": "-4", "thermal_cond": "-4"}
6
acceleration,amount,gas_constant,inertia,mass,temperature
m·a·J·Θ·n·R
chemistry,mechanics,thermo
m·a²·J·Θ⁻²·n⁻²·R⁻²
m = k₀ · a⁻²·J⁻¹·Θ²·n²·R²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "inertia": "1", "temperature": "-2", "amount": "-2", "gas_constant": "-2"}
6
acceleration,gas_constant,inertia,mass,molar_mass,temperature
m·a·J·Θ·M_m·R
chemistry,mechanics,thermo
m·a⁻²·J⁻¹·Θ²·M_m⁻²·R²
m = k₀ · a²·J·Θ⁻²·M_m²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "temperature": "2", "molar_mass": "-2", "gas_constant": "2"}
6
acceleration,concentration,gas_constant,inertia,mass,temperature
m·a·J·Θ·c_n·R
chemistry,mechanics,thermo
m²·a·J⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
a = k₀ · m⁻²·J·Θ·c_n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "2", "acceleration": "1", "inertia": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,inertia,mass,temperature
m·a·J·Θ·R·z
chemistry,mechanics,thermo
m³·a⁶·J·Θ⁻⁴·R⁻⁴·z⁻⁴
J = k₀ · m⁻³·a⁻⁶·Θ⁴·R⁴·z⁴
null
0
3
6
22
18.9
-9.9
false
{"mass": "3", "acceleration": "6", "inertia": "1", "temperature": "-4", "gas_constant": "-4", "cat_activity": "-4"}
6
acceleration,avogadro,gas_constant,inertia,mass,temperature
m·a·J·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·a²·J·Θ⁻²·R⁻²·N_A²
m = k₀ · a⁻²·J⁻¹·Θ²·R²·N_A⁻²
null
1
4
2
10
9.1
-0.6
false
{"mass": "1", "acceleration": "2", "inertia": "1", "temperature": "-2", "gas_constant": "-2", "avogadro": "2"}
5
acceleration,boltzmann,inertia,mass,temperature
m·a·J·Θ·k_B
constants,mechanics,thermo
m·a²·J·Θ⁻²·k_B⁻²
m = k₀ · a⁻²·J⁻¹·Θ²·k_B²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "inertia": "1", "temperature": "-2", "boltzmann": "-2"}
5
acceleration,entropy,inertia,mass,thermal_cond
m·a·J·S_e·κ
mechanics,thermo
m³·a²·J⁻³·S_e⁴·κ⁻⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·S_e⁻²·κ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "entropy": "4", "thermal_cond": "-4"}
5
acceleration,entropy,expansion,inertia,mass
m·a·J·S_e·β
mechanics,thermo
m·a²·J·S_e⁻²·β²
m = k₀ · a⁻²·J⁻¹·S_e²·β⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "entropy": "-2", "expansion": "2"}
6
acceleration,entropy,gas_constant,inertia,mass,molar_energy
m·a·J·S_e·E_m·R
chemistry,mechanics,thermo
m·a²·J·S_e⁻²·E_m⁻²·R²
m = k₀ · a⁻²·J⁻¹·S_e²·E_m²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "inertia": "1", "entropy": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
acceleration,cat_activity,entropy,gas_constant,inertia,mass
m·a·J·S_e·R·z
chemistry,mechanics,thermo
m·a²·J⁻¹·S_e⁴·R⁻⁴·z⁻⁴
m = k₀ · a⁻²·J·S_e⁻⁴·R⁴·z⁴
null
0
3
4
16
13.7
-4.7
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "entropy": "4", "gas_constant": "-4", "cat_activity": "-4"}
5
acceleration,heat_capacity,inertia,mass,thermal_cond
m·a·J·C·κ
mechanics,thermo
m³·a²·J⁻³·C⁴·κ⁻⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·C⁻²·κ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "heat_capacity": "4", "thermal_cond": "-4"}
5
acceleration,expansion,heat_capacity,inertia,mass
m·a·J·C·β
mechanics,thermo
m·a²·J·C⁻²·β²
m = k₀ · a⁻²·J⁻¹·C²·β⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "inertia": "1", "heat_capacity": "-2", "expansion": "2"}
6
acceleration,gas_constant,heat_capacity,inertia,mass,molar_energy
m·a·J·C·E_m·R
chemistry,mechanics,thermo
m·a²·J·C⁻²·E_m⁻²·R²
m = k₀ · a⁻²·J⁻¹·C²·E_m²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "inertia": "1", "heat_capacity": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
acceleration,cat_activity,gas_constant,heat_capacity,inertia,mass
m·a·J·C·R·z
chemistry,mechanics,thermo
m·a²·J⁻¹·C⁴·R⁻⁴·z⁻⁴
m = k₀ · a⁻²·J·C⁻⁴·R⁴·z⁴
null
0
3
4
16
13.7
-4.7
false
{"mass": "1", "acceleration": "2", "inertia": "-1", "heat_capacity": "4", "gas_constant": "-4", "cat_activity": "-4"}
5
acceleration,inertia,mass,specific_heat,thermal_cond
m·a·J·c·κ
mechanics,thermo
m⁷·a²·J⁻³·c⁴·κ⁻⁴
a = k₀ · m⁻⁷ᐟ²·J³ᐟ²·c⁻²·κ²
null
0
2
7
20
17.1
-7.6
false
{"mass": "7", "acceleration": "2", "inertia": "-3", "specific_heat": "4", "thermal_cond": "-4"}
5
acceleration,expansion,inertia,mass,specific_heat
m·a·J·c·β
mechanics,thermo
m·a⁻²·J⁻¹·c²·β⁻²
m = k₀ · a²·J·c⁻²·β²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "-2", "inertia": "-1", "specific_heat": "2", "expansion": "-2"}
6
acceleration,gas_constant,inertia,mass,molar_energy,specific_heat
m·a·J·c·E_m·R
chemistry,mechanics,thermo
m·a⁻²·J⁻¹·c²·E_m²·R⁻²
m = k₀ · a²·J·c⁻²·E_m⁻²·R²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "-2", "inertia": "-1", "specific_heat": "2", "molar_energy": "2", "gas_constant": "-2"}
6
acceleration,cat_activity,gas_constant,inertia,mass,specific_heat
m·a·J·c·R·z
chemistry,mechanics,thermo
m⁵·a²·J⁻¹·c⁴·R⁻⁴·z⁻⁴
J = k₀ · m⁵·a²·c⁴·R⁻⁴·z⁻⁴
null
0
3
5
20
17
-8
false
{"mass": "5", "acceleration": "2", "inertia": "-1", "specific_heat": "4", "gas_constant": "-4", "cat_activity": "-4"}
5
acceleration,expansion,inertia,mass,thermal_cond
m·a·J·κ·β
mechanics,thermo
m⁵·a⁶·J⁻¹·κ⁻⁴·β⁴
J = k₀ · m⁵·a⁶·κ⁻⁴·β⁴
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "inertia": "-1", "thermal_cond": "-4", "expansion": "4"}
6
acceleration,amount,gas_constant,inertia,mass,thermal_cond
m·a·J·κ·n·R
chemistry,mechanics,thermo
m³·a²·J⁻³·κ⁻⁴·n⁴·R⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·κ²·n⁻²·R⁻²
null
0
3
4
20
16.5
-7.5
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "thermal_cond": "-4", "amount": "4", "gas_constant": "4"}
6
acceleration,gas_constant,inertia,mass,molar_mass,thermal_cond
m·a·J·κ·M_m·R
chemistry,mechanics,thermo
m⁷·a²·J⁻³·κ⁻⁴·M_m⁻⁴·R⁴
a = k₀ · m⁻⁷ᐟ²·J³ᐟ²·κ²·M_m²·R⁻²
null
0
3
7
24
20.8
-11.8
false
{"mass": "7", "acceleration": "2", "inertia": "-3", "thermal_cond": "-4", "molar_mass": "-4", "gas_constant": "4"}
6
acceleration,concentration,gas_constant,inertia,mass,thermal_cond
m·a·J·κ·c_n·R
chemistry,mechanics,thermo
m³·a⁻²·J⁻³·κ⁴·c_n⁻⁴·R⁻⁴
a = k₀ · m³ᐟ²·J⁻³ᐟ²·κ²·c_n⁻²·R⁻²
null
0
3
4
20
16.5
-7.5
false
{"mass": "3", "acceleration": "-2", "inertia": "-3", "thermal_cond": "4", "concentration": "-4", "gas_constant": "-4"}
6
acceleration,gas_constant,inertia,mass,molar_energy,thermal_cond
m·a·J·κ·E_m·R
chemistry,mechanics,thermo
m⁵·a⁶·J⁻¹·κ⁻⁴·E_m⁻⁴·R⁴
J = k₀ · m⁵·a⁶·κ⁻⁴·E_m⁻⁴·R⁴
null
0
3
6
24
20.3
-11.3
false
{"mass": "5", "acceleration": "6", "inertia": "-1", "thermal_cond": "-4", "molar_energy": "-4", "gas_constant": "4"}
6
acceleration,avogadro,gas_constant,inertia,mass,thermal_cond
m·a·J·κ·R·N_A
chemistry,constants,mechanics,thermo
m³·a²·J⁻³·κ⁻⁴·R⁴·N_A⁻⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·κ²·R⁻²·N_A²
null
1
4
4
20
17.1
-8.6
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "thermal_cond": "-4", "gas_constant": "4", "avogadro": "-4"}
5
acceleration,boltzmann,inertia,mass,thermal_cond
m·a·J·κ·k_B
constants,mechanics,thermo
m³·a²·J⁻³·κ⁻⁴·k_B⁴
a = k₀ · m⁻³ᐟ²·J³ᐟ²·κ²·k_B⁻²
null
1
3
4
16
13.4
-4.4
false
{"mass": "3", "acceleration": "2", "inertia": "-3", "thermal_cond": "-4", "boltzmann": "4"}