Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
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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
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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,elem_charge,mass,resistance,stiffness
m·a·k·R·e
constants,em,mechanics
m⁵·a⁴·k⁻³·R⁻²·e⁻⁴
R = k₀ · m⁵ᐟ²·a²·k⁻³ᐟ²·e⁻²
null
1
3
5
18
15.3
-6.3
false
{"mass": "5", "acceleration": "4", "stiffness": "-3", "resistance": "-2", "elem_charge": "-4"}
5
acceleration,bfield,capacitance,mass,stiffness
m·a·k·C_e·B
em,mechanics
m·a²·k⁻²·C_e·B²
m = k₀ · a⁻²·k²·C_e⁻¹·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "stiffness": "-2", "capacitance": "1", "bfield": "2"}
5
acceleration,capacitance,mag_flux,mass,stiffness
m·a·k·C_e·Φ
em,mechanics
m³·a²·k⁻²·C_e⁻¹·Φ⁻²
C_e = k₀ · m³·a²·k⁻²·Φ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "stiffness": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
acceleration,capacitance,mass,permittivity,stiffness
m·a·k·C_e·ε
em,mechanics
m·a·k⁻¹·C_e⁻¹·ε
m = k₀ · a⁻¹·k·C_e·ε⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "stiffness": "-1", "capacitance": "-1", "permittivity": "1"}
5
acceleration,capacitance,conductivity,mass,stiffness
m·a·k·C_e·σ
em,mechanics
m³·a²·k⁻³·C_e⁻²·σ²
a = k₀ · m⁻³ᐟ²·k³ᐟ²·C_e·σ⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "stiffness": "-3", "capacitance": "-2", "conductivity": "2"}
5
acceleration,capacitance,mass,resistivity,stiffness
m·a·k·C_e·ρ_e
em,mechanics
m³·a²·k⁻³·C_e⁻²·ρ_e⁻²
a = k₀ · m⁻³ᐟ²·k³ᐟ²·C_e·ρ_e
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "stiffness": "-3", "capacitance": "-2", "resistivity": "-2"}
5
acceleration,capacitance,elem_charge,mass,stiffness
m·a·k·C_e·e
constants,em,mechanics
m²·a²·k⁻¹·C_e·e⁻²
k = k₀ · m²·a²·C_e·e⁻²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "acceleration": "2", "stiffness": "-1", "capacitance": "1", "elem_charge": "-2"}
5
acceleration,bfield,inductance,mass,stiffness
m·a·k·L_e·B
em,mechanics
m²·a²·k⁻³·L_e⁻¹·B²
L_e = k₀ · m²·a²·k⁻³·B²
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "acceleration": "2", "stiffness": "-3", "inductance": "-1", "bfield": "2"}
5
acceleration,inductance,mag_flux,mass,stiffness
m·a·k·L_e·Φ
em,mechanics
m²·a²·k⁻¹·L_e·Φ⁻²
k = k₀ · m²·a²·L_e·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "stiffness": "-1", "inductance": "1", "mag_flux": "-2"}
5
acceleration,inductance,mass,permeability,stiffness
m·a·k·L_e·μ₀
em,mechanics
m·a·k⁻¹·L_e⁻¹·μ₀
m = k₀ · a⁻¹·k·L_e·μ₀⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "stiffness": "-1", "inductance": "-1", "permeability": "1"}
5
acceleration,conductivity,inductance,mass,stiffness
m·a·k·L_e·σ
em,mechanics
m·a²·k⁻¹·L_e²·σ²
m = k₀ · a⁻²·k·L_e⁻²·σ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "stiffness": "-1", "inductance": "2", "conductivity": "2"}
5
acceleration,inductance,mass,resistivity,stiffness
m·a·k·L_e·ρ_e
em,mechanics
m·a²·k⁻¹·L_e²·ρ_e⁻²
m = k₀ · a⁻²·k·L_e⁻²·ρ_e²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "stiffness": "-1", "inductance": "2", "resistivity": "-2"}
5
acceleration,elem_charge,inductance,mass,stiffness
m·a·k·L_e·e
constants,em,mechanics
m³·a²·k⁻²·L_e⁻¹·e⁻²
L_e = k₀ · m³·a²·k⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "3", "acceleration": "2", "stiffness": "-2", "inductance": "-1", "elem_charge": "-2"}
5
acceleration,bfield,efield,mass,stiffness
m·a·k·E_f·B
em,mechanics
m·a²·k⁻¹·E_f⁻²·B²
m = k₀ · a⁻²·k·E_f²·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "stiffness": "-1", "efield": "-2", "bfield": "2"}
5
acceleration,efield,mag_flux,mass,stiffness
m·a·k·E_f·Φ
em,mechanics
m³·a²·k⁻³·E_f²·Φ⁻²
a = k₀ · m⁻³ᐟ²·k³ᐟ²·E_f⁻¹·Φ
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "stiffness": "-3", "efield": "2", "mag_flux": "-2"}
5
acceleration,efield,mass,permittivity,stiffness
m·a·k·E_f·ε
em,mechanics
m·a·k⁻²·E_f²·ε
m = k₀ · a⁻¹·k²·E_f⁻²·ε⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "stiffness": "-2", "efield": "2", "permittivity": "1"}
5
acceleration,conductivity,efield,mass,stiffness
m·a·k·E_f·σ
em,mechanics
m³·a²·k⁻⁵·E_f⁴·σ²
a = k₀ · m⁻³ᐟ²·k⁵ᐟ²·E_f⁻²·σ⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "3", "acceleration": "2", "stiffness": "-5", "efield": "4", "conductivity": "2"}
5
acceleration,efield,mass,resistivity,stiffness
m·a·k·E_f·ρ_e
em,mechanics
m³·a²·k⁻⁵·E_f⁴·ρ_e⁻²
a = k₀ · m⁻³ᐟ²·k⁵ᐟ²·E_f⁻²·ρ_e
null
0
2
5
16
13.3
-3.8
false
{"mass": "3", "acceleration": "2", "stiffness": "-5", "efield": "4", "resistivity": "-2"}
5
acceleration,bfield,mag_flux,mass,stiffness
m·a·k·B·Φ
em,mechanics
m²·a²·k⁻²·B·Φ⁻¹
B = k₀ · m⁻²·a⁻²·k²·Φ
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "stiffness": "-2", "bfield": "1", "mag_flux": "-1"}
5
acceleration,bfield,mass,permittivity,stiffness
m·a·k·B·ε
em,mechanics
m²·a³·k⁻³·B²·ε
ε = k₀ · m⁻²·a⁻³·k³·B⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "3", "stiffness": "-3", "bfield": "2", "permittivity": "1"}
5
acceleration,bfield,mass,permeability,stiffness
m·a·k·B·μ₀
em,mechanics
m·a·k⁻²·B²·μ₀⁻¹
m = k₀ · a⁻¹·k²·B⁻²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "stiffness": "-2", "bfield": "2", "permeability": "-1"}
5
acceleration,bfield,conductivity,mass,stiffness
m·a·k·B·σ
em,mechanics
m⁵·a⁶·k⁻⁷·B⁴·σ²
σ = k₀ · m⁻⁵ᐟ²·a⁻³·k⁷ᐟ²·B⁻²
null
0
2
7
24
19.9
-10.4
false
{"mass": "5", "acceleration": "6", "stiffness": "-7", "bfield": "4", "conductivity": "2"}
5
acceleration,bfield,mass,resistivity,stiffness
m·a·k·B·ρ_e
em,mechanics
m⁵·a⁶·k⁻⁷·B⁴·ρ_e⁻²
ρ_e = k₀ · m⁵ᐟ²·a³·k⁻⁷ᐟ²·B²
null
0
2
7
24
19.9
-10.4
false
{"mass": "5", "acceleration": "6", "stiffness": "-7", "bfield": "4", "resistivity": "-2"}
5
acceleration,mag_flux,mass,permittivity,stiffness
m·a·k·Φ·ε
em,mechanics
m²·a·k⁻¹·Φ⁻²·ε⁻¹
a = k₀ · m⁻²·k·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "stiffness": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
acceleration,mag_flux,mass,permeability,stiffness
m·a·k·Φ·μ₀
em,mechanics
m³·a³·k⁻²·Φ⁻²·μ₀
μ₀ = k₀ · m⁻³·a⁻³·k²·Φ²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "stiffness": "-2", "mag_flux": "-2", "permeability": "1"}
5
acceleration,conductivity,mag_flux,mass,stiffness
m·a·k·Φ·σ
em,mechanics
m³·a²·k⁻¹·Φ⁻⁴·σ⁻²
k = k₀ · m³·a²·Φ⁻⁴·σ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "2", "stiffness": "-1", "mag_flux": "-4", "conductivity": "-2"}
5
acceleration,mag_flux,mass,resistivity,stiffness
m·a·k·Φ·ρ_e
em,mechanics
m³·a²·k⁻¹·Φ⁻⁴·ρ_e²
k = k₀ · m³·a²·Φ⁻⁴·ρ_e²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "2", "stiffness": "-1", "mag_flux": "-4", "resistivity": "2"}
5
acceleration,elem_charge,mag_flux,mass,stiffness
m·a·k·Φ·e
constants,em,mechanics
m⁵·a⁴·k⁻³·Φ⁻²·e⁻²
Φ = k₀ · m⁵ᐟ²·a²·k⁻³ᐟ²·e⁻¹
null
1
3
5
16
13.9
-4.9
false
{"mass": "5", "acceleration": "4", "stiffness": "-3", "mag_flux": "-2", "elem_charge": "-2"}
5
acceleration,mass,permeability,permittivity,stiffness
m·a·k·ε·μ₀
em,mechanics
m·a²·k⁻¹·ε·μ₀
m = k₀ · a⁻²·k·ε⁻¹·μ₀⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "stiffness": "-1", "permittivity": "1", "permeability": "1"}
5
acceleration,elem_charge,mass,permittivity,stiffness
m·a·k·ε·e
constants,em,mechanics
m³·a³·k⁻²·ε·e⁻²
ε = k₀ · m⁻³·a⁻³·k²·e²
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "acceleration": "3", "stiffness": "-2", "permittivity": "1", "elem_charge": "-2"}
5
acceleration,conductivity,mass,permeability,stiffness
m·a·k·μ₀·σ
em,mechanics
m³·a⁴·k⁻³·μ₀²·σ²
μ₀ = k₀ · m⁻³ᐟ²·a⁻²·k³ᐟ²·σ⁻¹
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "stiffness": "-3", "permeability": "2", "conductivity": "2"}
5
acceleration,mass,permeability,resistivity,stiffness
m·a·k·μ₀·ρ_e
em,mechanics
m³·a⁴·k⁻³·μ₀²·ρ_e⁻²
μ₀ = k₀ · m⁻³ᐟ²·a⁻²·k³ᐟ²·ρ_e
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "acceleration": "4", "stiffness": "-3", "permeability": "2", "resistivity": "-2"}
5
acceleration,elem_charge,mass,permeability,stiffness
m·a·k·μ₀·e
constants,em,mechanics
m²·a·k⁻¹·μ₀⁻¹·e⁻²
a = k₀ · m⁻²·k·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "1", "stiffness": "-1", "permeability": "-1", "elem_charge": "-2"}
5
acceleration,conductivity,elem_charge,mass,stiffness
m·a·k·σ·e
constants,em,mechanics
m⁷·a⁶·k⁻⁵·σ²·e⁻⁴
σ = k₀ · m⁻⁷ᐟ²·a⁻³·k⁵ᐟ²·e²
null
1
3
7
24
20.5
-11.5
false
{"mass": "7", "acceleration": "6", "stiffness": "-5", "conductivity": "2", "elem_charge": "-4"}
5
acceleration,elem_charge,mass,resistivity,stiffness
m·a·k·ρ_e·e
constants,em,mechanics
m⁷·a⁶·k⁻⁵·ρ_e⁻²·e⁻⁴
ρ_e = k₀ · m⁷ᐟ²·a³·k⁻⁵ᐟ²·e⁻²
null
1
3
7
24
20.5
-11.5
false
{"mass": "7", "acceleration": "6", "stiffness": "-5", "resistivity": "-2", "elem_charge": "-4"}
5
acceleration,amount,concentration,mass,stiffness
m·a·k·n·c_n
chemistry,mechanics
m³·a³·k⁻³·n⁻¹·c_n
n = k₀ · m³·a³·k⁻³·c_n
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "stiffness": "-3", "amount": "-1", "concentration": "1"}
5
acceleration,amount,mass,molar_energy,stiffness
m·a·k·n·E_m
chemistry,mechanics
m²·a²·k⁻¹·n⁻¹·E_m⁻¹
k = k₀ · m²·a²·n⁻¹·E_m⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "stiffness": "-1", "amount": "-1", "molar_energy": "-1"}
5
acceleration,concentration,mass,molar_mass,stiffness
m·a·k·M_m·c_n
chemistry,mechanics
m²·a³·k⁻³·M_m·c_n
M_m = k₀ · m⁻²·a⁻³·k³·c_n⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "2", "acceleration": "3", "stiffness": "-3", "molar_mass": "1", "concentration": "1"}
5
acceleration,mass,molar_energy,molar_mass,stiffness
m·a·k·M_m·E_m
chemistry,mechanics
m·a²·k⁻¹·M_m·E_m⁻¹
m = k₀ · a⁻²·k·M_m⁻¹·E_m
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "stiffness": "-1", "molar_mass": "1", "molar_energy": "-1"}
5
acceleration,concentration,mass,molar_energy,stiffness
m·a·k·c_n·E_m
chemistry,mechanics
m·a·k⁻²·c_n·E_m
m = k₀ · a⁻¹·k²·c_n⁻¹·E_m⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "stiffness": "-2", "concentration": "1", "molar_energy": "1"}
6
acceleration,boltzmann,concentration,gas_constant,mass,stiffness
m·a·k·c_n·R·k_B
chemistry,constants,mechanics
m³·a³·k⁻³·c_n·R·k_B⁻¹
c_n = k₀ · m⁻³·a⁻³·k³·R⁻¹·k_B
null
1
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "stiffness": "-3", "concentration": "1", "gas_constant": "1", "boltzmann": "-1"}
5
acceleration,cat_activity,concentration,mass,stiffness
m·a·k·c_n·z
chemistry,mechanics
m⁵·a⁶·k⁻⁵·c_n²·z⁻²
c_n = k₀ · m⁻⁵ᐟ²·a⁻³·k⁵ᐟ²·z
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "6", "stiffness": "-5", "concentration": "2", "cat_activity": "-2"}
5
acceleration,avogadro,concentration,mass,stiffness
m·a·k·c_n·N_A
chemistry,constants,mechanics
m³·a³·k⁻³·c_n·N_A
c_n = k₀ · m⁻³·a⁻³·k³·N_A⁻¹
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "acceleration": "3", "stiffness": "-3", "concentration": "1", "avogadro": "1"}
6
acceleration,boltzmann,gas_constant,mass,molar_energy,stiffness
m·a·k·E_m·R·k_B
chemistry,constants,mechanics
m²·a²·k⁻¹·E_m⁻¹·R·k_B⁻¹
k = k₀ · m²·a²·E_m⁻¹·R·k_B⁻¹
null
1
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "stiffness": "-1", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
acceleration,cat_activity,mass,molar_energy,stiffness
m·a·k·E_m·z
chemistry,mechanics
m³·a⁴·k⁻¹·E_m⁻²·z⁻²
k = k₀ · m³·a⁴·E_m⁻²·z⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "acceleration": "4", "stiffness": "-1", "molar_energy": "-2", "cat_activity": "-2"}
5
acceleration,avogadro,mass,molar_energy,stiffness
m·a·k·E_m·N_A
chemistry,constants,mechanics
m²·a²·k⁻¹·E_m⁻¹·N_A
k = k₀ · m²·a²·E_m⁻¹·N_A
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "2", "stiffness": "-1", "molar_energy": "-1", "avogadro": "1"}
5
acceleration,illuminance,lum_intensity,mass,stiffness
m·a·k·I_v·E_v
mechanics,photometry
m²·a²·k⁻²·I_v⁻¹·E_v
I_v = k₀ · m²·a²·k⁻²·E_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "stiffness": "-2", "lum_intensity": "-1", "illuminance": "1"}
5
acceleration,lum_intensity,luminance,mass,stiffness
m·a·k·I_v·L_v
mechanics,photometry
m²·a²·k⁻²·I_v⁻¹·L_v
I_v = k₀ · m²·a²·k⁻²·L_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "stiffness": "-2", "lum_intensity": "-1", "luminance": "1"}
4
acceleration,light_speed,mass,stiffness
m·a·k·c₀
constants,mechanics
m·a²·k⁻¹·c₀⁻²
m = k₀ · a⁻²·k·c₀²
null
1
2
2
6
4.5
5
true
{"mass": "1", "acceleration": "2", "stiffness": "-1", "light_speed": "-2"}
4
acceleration,grav_const,mass,stiffness
m·a·k·G
constants,mechanics
m·a³·k⁻²·G⁻¹
m = k₀ · a⁻³·k²·G
null
1
2
3
7
5.7
3.8
true
{"mass": "1", "acceleration": "3", "stiffness": "-2", "grav_const": "-1"}
4
acceleration,mass,planck,stiffness
m·a·k·h
constants,mechanics
m⁵·a⁴·k⁻³·h⁻²
h = k₀ · m⁵ᐟ²·a²·k⁻³ᐟ²
null
1
2
5
14
11.6
-2.1
false
{"mass": "5", "acceleration": "4", "stiffness": "-3", "planck": "-2"}
4
acceleration,area,mass,surf_tension
m·a·γ·A
mechanics
m²·a²·γ⁻²·A⁻¹
A = k₀ · m²·a²·γ⁻²
null
0
1
2
7
4.6
5.4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-2", "area": "-1"}
4
acceleration,mass,surf_tension,volume
m·a·γ·V
mechanics
m³·a³·γ⁻³·V⁻¹
V = k₀ · m³·a³·γ⁻³
null
0
1
3
10
7.2
2.8
false
{"mass": "3", "acceleration": "3", "surf_tension": "-3", "volume": "-1"}
4
acceleration,flowrate,mass,surf_tension
m·a·γ·Q
mechanics
m⁵·a⁶·γ⁻⁵·Q⁻²
Q = k₀ · m⁵ᐟ²·a³·γ⁻⁵ᐟ²
null
0
1
6
18
14.3
-4.3
false
{"mass": "5", "acceleration": "6", "surf_tension": "-5", "flowrate": "-2"}
5
acceleration,entropy,mass,surf_tension,temperature
m·a·γ·Θ·S_e
mechanics,thermo
m²·a²·γ⁻¹·Θ⁻¹·S_e⁻¹
γ = k₀ · m²·a²·Θ⁻¹·S_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "entropy": "-1"}
5
acceleration,heat_capacity,mass,surf_tension,temperature
m·a·γ·Θ·C
mechanics,thermo
m²·a²·γ⁻¹·Θ⁻¹·C⁻¹
γ = k₀ · m²·a²·Θ⁻¹·C⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "heat_capacity": "-1"}
5
acceleration,mass,specific_heat,surf_tension,temperature
m·a·γ·Θ·c
mechanics,thermo
m·a²·γ⁻¹·Θ⁻¹·c⁻¹
m = k₀ · a⁻²·γ·Θ·c
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "specific_heat": "-1"}
5
acceleration,mass,surf_tension,temperature,thermal_cond
m·a·γ·Θ·κ
mechanics,thermo
m·a²·γ·Θ⁻²·κ⁻²
m = k₀ · a⁻²·γ⁻¹·Θ²·κ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "1", "temperature": "-2", "thermal_cond": "-2"}
6
acceleration,amount,gas_constant,mass,surf_tension,temperature
m·a·γ·Θ·n·R
chemistry,mechanics,thermo
m²·a²·γ⁻¹·Θ⁻¹·n⁻¹·R⁻¹
γ = k₀ · m²·a²·Θ⁻¹·n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,gas_constant,mass,molar_mass,surf_tension,temperature
m·a·γ·Θ·M_m·R
chemistry,mechanics,thermo
m·a²·γ⁻¹·Θ⁻¹·M_m·R⁻¹
m = k₀ · a⁻²·γ·Θ·M_m⁻¹·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "molar_mass": "1", "gas_constant": "-1"}
6
acceleration,concentration,gas_constant,mass,surf_tension,temperature
m·a·γ·Θ·c_n·R
chemistry,mechanics,thermo
m·a·γ⁻²·Θ·c_n·R
m = k₀ · a⁻¹·γ²·Θ⁻¹·c_n⁻¹·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "1", "surf_tension": "-2", "temperature": "1", "concentration": "1", "gas_constant": "1"}
6
acceleration,cat_activity,gas_constant,mass,surf_tension,temperature
m·a·γ·Θ·R·z
chemistry,mechanics,thermo
m³·a⁴·γ⁻¹·Θ⁻²·R⁻²·z⁻²
γ = k₀ · m³·a⁴·Θ⁻²·R⁻²·z⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "acceleration": "4", "surf_tension": "-1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
6
acceleration,avogadro,gas_constant,mass,surf_tension,temperature
m·a·γ·Θ·R·N_A
chemistry,constants,mechanics,thermo
m²·a²·γ⁻¹·Θ⁻¹·R⁻¹·N_A
γ = k₀ · m²·a²·Θ⁻¹·R⁻¹·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,mass,surf_tension,temperature
m·a·γ·Θ·k_B
constants,mechanics,thermo
m²·a²·γ⁻¹·Θ⁻¹·k_B⁻¹
γ = k₀ · m²·a²·Θ⁻¹·k_B⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "temperature": "-1", "boltzmann": "-1"}
5
acceleration,entropy,mass,surf_tension,thermal_cond
m·a·γ·S_e·κ
mechanics,thermo
m³·a²·γ⁻³·S_e⁻²·κ²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·S_e·κ⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "entropy": "-2", "thermal_cond": "2"}
5
acceleration,entropy,expansion,mass,surf_tension
m·a·γ·S_e·β
mechanics,thermo
m²·a²·γ⁻¹·S_e⁻¹·β
γ = k₀ · m²·a²·S_e⁻¹·β
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "entropy": "-1", "expansion": "1"}
6
acceleration,concentration,entropy,gas_constant,mass,surf_tension
m·a·γ·S_e·c_n·R
chemistry,mechanics,thermo
m³·a³·γ⁻³·S_e⁻¹·c_n·R
S_e = k₀ · m³·a³·γ⁻³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "surf_tension": "-3", "entropy": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,entropy,gas_constant,mass,molar_energy,surf_tension
m·a·γ·S_e·E_m·R
chemistry,mechanics,thermo
m²·a²·γ⁻¹·S_e⁻¹·E_m⁻¹·R
γ = k₀ · m²·a²·S_e⁻¹·E_m⁻¹·R
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,heat_capacity,mass,surf_tension,thermal_cond
m·a·γ·C·κ
mechanics,thermo
m³·a²·γ⁻³·C⁻²·κ²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·C·κ⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "heat_capacity": "-2", "thermal_cond": "2"}
5
acceleration,expansion,heat_capacity,mass,surf_tension
m·a·γ·C·β
mechanics,thermo
m²·a²·γ⁻¹·C⁻¹·β
γ = k₀ · m²·a²·C⁻¹·β
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "heat_capacity": "-1", "expansion": "1"}
6
acceleration,concentration,gas_constant,heat_capacity,mass,surf_tension
m·a·γ·C·c_n·R
chemistry,mechanics,thermo
m³·a³·γ⁻³·C⁻¹·c_n·R
C = k₀ · m³·a³·γ⁻³·c_n·R
null
0
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "surf_tension": "-3", "heat_capacity": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,gas_constant,heat_capacity,mass,molar_energy,surf_tension
m·a·γ·C·E_m·R
chemistry,mechanics,thermo
m²·a²·γ⁻¹·C⁻¹·E_m⁻¹·R
γ = k₀ · m²·a²·C⁻¹·E_m⁻¹·R
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,mass,specific_heat,surf_tension,thermal_cond
m·a·γ·c·κ
mechanics,thermo
m·a²·γ⁻³·c⁻²·κ²
m = k₀ · a⁻²·γ³·c²·κ⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "surf_tension": "-3", "specific_heat": "-2", "thermal_cond": "2"}
5
acceleration,expansion,mass,specific_heat,surf_tension
m·a·γ·c·β
mechanics,thermo
m·a²·γ⁻¹·c⁻¹·β
m = k₀ · a⁻²·γ·c·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "specific_heat": "-1", "expansion": "1"}
6
acceleration,concentration,gas_constant,mass,specific_heat,surf_tension
m·a·γ·c·c_n·R
chemistry,mechanics,thermo
m²·a³·γ⁻³·c⁻¹·c_n·R
c = k₀ · m²·a³·γ⁻³·c_n·R
null
0
3
3
11
9.7
-0.7
false
{"mass": "2", "acceleration": "3", "surf_tension": "-3", "specific_heat": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_energy,specific_heat,surf_tension
m·a·γ·c·E_m·R
chemistry,mechanics,thermo
m·a²·γ⁻¹·c⁻¹·E_m⁻¹·R
m = k₀ · a⁻²·γ·c·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "specific_heat": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,expansion,mass,surf_tension,thermal_cond
m·a·γ·κ·β
mechanics,thermo
m·a²·γ·κ⁻²·β²
m = k₀ · a⁻²·γ⁻¹·κ²·β⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "surf_tension": "1", "thermal_cond": "-2", "expansion": "2"}
6
acceleration,amount,gas_constant,mass,surf_tension,thermal_cond
m·a·γ·κ·n·R
chemistry,mechanics,thermo
m³·a²·γ⁻³·κ²·n⁻²·R⁻²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·κ⁻¹·n·R
null
0
3
3
14
11.8
-2.8
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "thermal_cond": "2", "amount": "-2", "gas_constant": "-2"}
6
acceleration,gas_constant,mass,molar_mass,surf_tension,thermal_cond
m·a·γ·κ·M_m·R
chemistry,mechanics,thermo
m·a²·γ⁻³·κ²·M_m²·R⁻²
m = k₀ · a⁻²·γ³·κ⁻²·M_m⁻²·R²
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "acceleration": "2", "surf_tension": "-3", "thermal_cond": "2", "molar_mass": "2", "gas_constant": "-2"}
6
acceleration,concentration,gas_constant,mass,surf_tension,thermal_cond
m·a·γ·κ·c_n·R
chemistry,mechanics,thermo
m³·a⁴·γ⁻³·κ⁻²·c_n²·R²
κ = k₀ · m³ᐟ²·a²·γ⁻³ᐟ²·c_n·R
null
0
3
4
16
13.7
-4.7
false
{"mass": "3", "acceleration": "4", "surf_tension": "-3", "thermal_cond": "-2", "concentration": "2", "gas_constant": "2"}
6
acceleration,gas_constant,mass,molar_energy,surf_tension,thermal_cond
m·a·γ·κ·E_m·R
chemistry,mechanics,thermo
m·a²·γ·κ⁻²·E_m⁻²·R²
m = k₀ · a⁻²·γ⁻¹·κ²·E_m²·R⁻²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "surf_tension": "1", "thermal_cond": "-2", "molar_energy": "-2", "gas_constant": "2"}
6
acceleration,cat_activity,gas_constant,mass,surf_tension,thermal_cond
m·a·γ·κ·R·z
chemistry,mechanics,thermo
m·a·γ⁻¹·κ·R⁻¹·z⁻¹
m = k₀ · a⁻¹·γ·κ⁻¹·R·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "surf_tension": "-1", "thermal_cond": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,gas_constant,mass,surf_tension,thermal_cond
m·a·γ·κ·R·N_A
chemistry,constants,mechanics,thermo
m³·a²·γ⁻³·κ²·R⁻²·N_A²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·κ⁻¹·R·N_A⁻¹
null
1
4
3
14
12.4
-3.9
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "thermal_cond": "2", "gas_constant": "-2", "avogadro": "2"}
5
acceleration,boltzmann,mass,surf_tension,thermal_cond
m·a·γ·κ·k_B
constants,mechanics,thermo
m³·a²·γ⁻³·κ²·k_B⁻²
a = k₀ · m⁻³ᐟ²·γ³ᐟ²·κ⁻¹·k_B
null
1
3
3
12
10.1
-1.1
false
{"mass": "3", "acceleration": "2", "surf_tension": "-3", "thermal_cond": "2", "boltzmann": "-2"}
4
acceleration,mass,surf_tension,thermal_diff
m·a·γ·α
mechanics,thermo
m³·a⁴·γ⁻³·α⁻²
α = k₀ · m³ᐟ²·a²·γ⁻³ᐟ²
null
0
2
4
12
9.7
-0.2
false
{"mass": "3", "acceleration": "4", "surf_tension": "-3", "thermal_diff": "-2"}
6
acceleration,amount,expansion,gas_constant,mass,surf_tension
m·a·γ·β·n·R
chemistry,mechanics,thermo
m²·a²·γ⁻¹·β·n⁻¹·R⁻¹
γ = k₀ · m²·a²·β·n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,expansion,gas_constant,mass,molar_mass,surf_tension
m·a·γ·β·M_m·R
chemistry,mechanics,thermo
m·a²·γ⁻¹·β·M_m·R⁻¹
m = k₀ · a⁻²·γ·β⁻¹·M_m⁻¹·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "surf_tension": "-1", "expansion": "1", "molar_mass": "1", "gas_constant": "-1"}
6
acceleration,concentration,expansion,gas_constant,mass,surf_tension
m·a·γ·β·c_n·R
chemistry,mechanics,thermo
m·a·γ⁻²·β⁻¹·c_n·R
m = k₀ · a⁻¹·γ²·β·c_n⁻¹·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "1", "surf_tension": "-2", "expansion": "-1", "concentration": "1", "gas_constant": "1"}
6
acceleration,cat_activity,expansion,gas_constant,mass,surf_tension
m·a·γ·β·R·z
chemistry,mechanics,thermo
m³·a⁴·γ⁻¹·β²·R⁻²·z⁻²
γ = k₀ · m³·a⁴·β²·R⁻²·z⁻²
null
0
3
4
14
12.3
-3.3
false
{"mass": "3", "acceleration": "4", "surf_tension": "-1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
6
acceleration,avogadro,expansion,gas_constant,mass,surf_tension
m·a·γ·β·R·N_A
chemistry,constants,mechanics,thermo
m²·a²·γ⁻¹·β·R⁻¹·N_A
γ = k₀ · m²·a²·β·R⁻¹·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,expansion,mass,surf_tension
m·a·γ·β·k_B
constants,mechanics,thermo
m²·a²·γ⁻¹·β·k_B⁻¹
γ = k₀ · m²·a²·β·k_B⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "expansion": "1", "boltzmann": "-1"}
5
acceleration,charge,mass,surf_tension,voltage
m·a·γ·q·U
em,mechanics
m²·a²·γ⁻¹·q⁻¹·U⁻¹
γ = k₀ · m²·a²·q⁻¹·U⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "charge": "-1", "voltage": "-1"}
5
acceleration,charge,mass,resistance,surf_tension
m·a·γ·q·R
em,mechanics
m⁵·a⁴·γ⁻³·q⁻⁴·R⁻²
R = k₀ · m⁵ᐟ²·a²·γ⁻³ᐟ²·q⁻²
null
0
2
5
18
14.7
-5.2
false
{"mass": "5", "acceleration": "4", "surf_tension": "-3", "charge": "-4", "resistance": "-2"}
5
acceleration,capacitance,charge,mass,surf_tension
m·a·γ·q·C_e
em,mechanics
m²·a²·γ⁻¹·q⁻²·C_e
γ = k₀ · m²·a²·q⁻²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "surf_tension": "-1", "charge": "-2", "capacitance": "1"}
5
acceleration,charge,inductance,mass,surf_tension
m·a·γ·q·L_e
em,mechanics
m³·a²·γ⁻²·q⁻²·L_e⁻¹
L_e = k₀ · m³·a²·γ⁻²·q⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "surf_tension": "-2", "charge": "-2", "inductance": "-1"}
5
acceleration,charge,mag_flux,mass,surf_tension
m·a·γ·q·Φ
em,mechanics
m⁵·a⁴·γ⁻³·q⁻²·Φ⁻²
q = k₀ · m⁵ᐟ²·a²·γ⁻³ᐟ²·Φ⁻¹
null
0
2
5
16
13.3
-3.8
false
{"mass": "5", "acceleration": "4", "surf_tension": "-3", "charge": "-2", "mag_flux": "-2"}
5
acceleration,charge,mass,permittivity,surf_tension
m·a·γ·q·ε
em,mechanics
m³·a³·γ⁻²·q⁻²·ε
ε = k₀ · m⁻³·a⁻³·γ²·q²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "surf_tension": "-2", "charge": "-2", "permittivity": "1"}
5
acceleration,charge,mass,permeability,surf_tension
m·a·γ·q·μ₀
em,mechanics
m²·a·γ⁻¹·q⁻²·μ₀⁻¹
a = k₀ · m⁻²·γ·q²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "1", "surf_tension": "-1", "charge": "-2", "permeability": "-1"}
5
acceleration,charge,conductivity,mass,surf_tension
m·a·γ·q·σ
em,mechanics
m⁷·a⁶·γ⁻⁵·q⁻⁴·σ²
σ = k₀ · m⁻⁷ᐟ²·a⁻³·γ⁵ᐟ²·q²
null
0
2
7
24
19.9
-10.4
false
{"mass": "7", "acceleration": "6", "surf_tension": "-5", "charge": "-4", "conductivity": "2"}
5
acceleration,charge,mass,resistivity,surf_tension
m·a·γ·q·ρ_e
em,mechanics
m⁷·a⁶·γ⁻⁵·q⁻⁴·ρ_e⁻²
ρ_e = k₀ · m⁷ᐟ²·a³·γ⁻⁵ᐟ²·q⁻²
null
0
2
7
24
19.9
-10.4
false
{"mass": "7", "acceleration": "6", "surf_tension": "-5", "charge": "-4", "resistivity": "-2"}