Datasets:
RANDMEDIATION
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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,bfield,mass,permittivity,torque
m·a·τ·B·ε
em,mechanics
m⁴·a³·τ⁻³·B⁻²·ε⁻¹
ε = k₀ · m⁴·a³·τ⁻³·B⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "4", "acceleration": "3", "torque": "-3", "bfield": "-2", "permittivity": "-1"}
5
acceleration,bfield,mass,permeability,torque
m·a·τ·B·μ₀
em,mechanics
m³·a³·τ⁻²·B⁻²·μ₀
μ₀ = k₀ · m⁻³·a⁻³·τ²·B²
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "torque": "-2", "bfield": "-2", "permeability": "1"}
5
acceleration,bfield,conductivity,mass,torque
m·a·τ·B·σ
em,mechanics
m⁹·a⁸·τ⁻⁷·B⁻⁴·σ⁻²
σ = k₀ · m⁹ᐟ²·a⁴·τ⁻⁷ᐟ²·B⁻²
null
0
2
9
30
25.1
-15.6
false
{"mass": "9", "acceleration": "8", "torque": "-7", "bfield": "-4", "conductivity": "-2"}
5
acceleration,bfield,mass,resistivity,torque
m·a·τ·B·ρ_e
em,mechanics
m⁹·a⁸·τ⁻⁷·B⁻⁴·ρ_e²
ρ_e = k₀ · m⁻⁹ᐟ²·a⁻⁴·τ⁷ᐟ²·B²
null
0
2
9
30
25.1
-15.6
false
{"mass": "9", "acceleration": "8", "torque": "-7", "bfield": "-4", "resistivity": "2"}
5
acceleration,bfield,elem_charge,mass,torque
m·a·τ·B·e
constants,em,mechanics
m³·a²·τ⁻¹·B⁻²·e⁻²
τ = k₀ · m³·a²·B⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "3", "acceleration": "2", "torque": "-1", "bfield": "-2", "elem_charge": "-2"}
5
acceleration,mag_flux,mass,permeability,torque
m·a·τ·Φ·μ₀
em,mechanics
m·a·τ⁻²·Φ²·μ₀⁻¹
m = k₀ · a⁻¹·τ²·Φ⁻²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "torque": "-2", "mag_flux": "2", "permeability": "-1"}
5
acceleration,elem_charge,mag_flux,mass,torque
m·a·τ·Φ·e
constants,em,mechanics
m·a²·τ⁻³·Φ²·e²
m = k₀ · a⁻²·τ³·Φ⁻²·e⁻²
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "acceleration": "2", "torque": "-3", "mag_flux": "2", "elem_charge": "2"}
5
acceleration,conductivity,mass,permittivity,torque
m·a·τ·ε·σ
em,mechanics
m·a²·τ⁻¹·ε²·σ⁻²
m = k₀ · a⁻²·τ·ε⁻²·σ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "permittivity": "2", "conductivity": "-2"}
5
acceleration,mass,permittivity,resistivity,torque
m·a·τ·ε·ρ_e
em,mechanics
m·a²·τ⁻¹·ε²·ρ_e²
m = k₀ · a⁻²·τ·ε⁻²·ρ_e⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "permittivity": "2", "resistivity": "2"}
5
acceleration,elem_charge,mass,permittivity,torque
m·a·τ·ε·e
constants,em,mechanics
m·a·τ⁻²·ε⁻¹·e²
m = k₀ · a⁻¹·τ²·ε·e⁻²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "1", "torque": "-2", "permittivity": "-1", "elem_charge": "2"}
5
acceleration,conductivity,mass,permeability,torque
m·a·τ·μ₀·σ
em,mechanics
m³·a²·τ⁻³·μ₀⁻²·σ⁻²
a = k₀ · m⁻³ᐟ²·τ³ᐟ²·μ₀·σ
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "torque": "-3", "permeability": "-2", "conductivity": "-2"}
5
acceleration,mass,permeability,resistivity,torque
m·a·τ·μ₀·ρ_e
em,mechanics
m³·a²·τ⁻³·μ₀⁻²·ρ_e²
a = k₀ · m⁻³ᐟ²·τ³ᐟ²·μ₀·ρ_e⁻¹
null
0
2
3
12
9.5
0
false
{"mass": "3", "acceleration": "2", "torque": "-3", "permeability": "-2", "resistivity": "2"}
5
acceleration,conductivity,elem_charge,mass,torque
m·a·τ·σ·e
constants,em,mechanics
m³·a⁴·τ⁻⁵·σ⁻²·e⁴
σ = k₀ · m³ᐟ²·a²·τ⁻⁵ᐟ²·e²
null
1
3
5
18
15.3
-6.3
false
{"mass": "3", "acceleration": "4", "torque": "-5", "conductivity": "-2", "elem_charge": "4"}
5
acceleration,elem_charge,mass,resistivity,torque
m·a·τ·ρ_e·e
constants,em,mechanics
m³·a⁴·τ⁻⁵·ρ_e²·e⁴
ρ_e = k₀ · m⁻³ᐟ²·a⁻²·τ⁵ᐟ²·e⁻²
null
1
3
5
18
15.3
-6.3
false
{"mass": "3", "acceleration": "4", "torque": "-5", "resistivity": "2", "elem_charge": "4"}
5
acceleration,amount,concentration,mass,torque
m·a·τ·n·c_n
chemistry,mechanics
m³·a³·τ⁻³·n·c_n⁻¹
n = k₀ · m⁻³·a⁻³·τ³·c_n
null
0
2
3
11
8.8
0.7
false
{"mass": "3", "acceleration": "3", "torque": "-3", "amount": "1", "concentration": "-1"}
5
acceleration,amount,cat_activity,mass,torque
m·a·τ·n·z
chemistry,mechanics
m·a²·τ⁻¹·n²·z⁻²
m = k₀ · a⁻²·τ·n⁻²·z²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "-1", "amount": "2", "cat_activity": "-2"}
5
acceleration,concentration,mass,molar_mass,torque
m·a·τ·M_m·c_n
chemistry,mechanics
m⁴·a³·τ⁻³·M_m⁻¹·c_n⁻¹
M_m = k₀ · m⁴·a³·τ⁻³·c_n⁻¹
null
0
2
4
12
10
-0.5
false
{"mass": "4", "acceleration": "3", "torque": "-3", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,cat_activity,mass,molar_mass,torque
m·a·τ·M_m·z
chemistry,mechanics
m³·a²·τ⁻¹·M_m⁻²·z⁻²
τ = k₀ · m³·a²·M_m⁻²·z⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "torque": "-1", "molar_mass": "-2", "cat_activity": "-2"}
5
acceleration,concentration,mass,molar_energy,torque
m·a·τ·c_n·E_m
chemistry,mechanics
m³·a³·τ⁻²·c_n⁻¹·E_m⁻¹
c_n = k₀ · m³·a³·τ⁻²·E_m⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "3", "torque": "-2", "concentration": "-1", "molar_energy": "-1"}
6
acceleration,boltzmann,concentration,gas_constant,mass,torque
m·a·τ·c_n·R·k_B
chemistry,constants,mechanics
m³·a³·τ⁻³·c_n⁻¹·R⁻¹·k_B
c_n = k₀ · m³·a³·τ⁻³·R⁻¹·k_B
null
1
3
3
12
10.4
-1.4
false
{"mass": "3", "acceleration": "3", "torque": "-3", "concentration": "-1", "gas_constant": "-1", "boltzmann": "1"}
5
acceleration,cat_activity,concentration,mass,torque
m·a·τ·c_n·z
chemistry,mechanics
m⁵·a⁴·τ⁻⁵·c_n⁻²·z²
c_n = k₀ · m⁵ᐟ²·a²·τ⁻⁵ᐟ²·z
null
0
2
5
18
14.7
-5.2
false
{"mass": "5", "acceleration": "4", "torque": "-5", "concentration": "-2", "cat_activity": "2"}
5
acceleration,avogadro,concentration,mass,torque
m·a·τ·c_n·N_A
chemistry,constants,mechanics
m³·a³·τ⁻³·c_n⁻¹·N_A⁻¹
c_n = k₀ · m³·a³·τ⁻³·N_A⁻¹
null
1
3
3
11
9.4
-0.4
false
{"mass": "3", "acceleration": "3", "torque": "-3", "concentration": "-1", "avogadro": "-1"}
5
acceleration,cat_activity,mass,molar_energy,torque
m·a·τ·E_m·z
chemistry,mechanics
m·a²·τ·E_m⁻²·z⁻²
m = k₀ · a⁻²·τ⁻¹·E_m²·z²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "torque": "1", "molar_energy": "-2", "cat_activity": "-2"}
6
acceleration,boltzmann,cat_activity,gas_constant,mass,torque
m·a·τ·R·z·k_B
chemistry,constants,mechanics
m·a²·τ⁻¹·R⁻²·z⁻²·k_B²
m = k₀ · a⁻²·τ·R²·z²·k_B⁻²
null
1
3
2
10
8.5
0.5
false
{"mass": "1", "acceleration": "2", "torque": "-1", "gas_constant": "-2", "cat_activity": "-2", "boltzmann": "2"}
5
acceleration,avogadro,cat_activity,mass,torque
m·a·τ·z·N_A
chemistry,constants,mechanics
m·a²·τ⁻¹·z⁻²·N_A⁻²
m = k₀ · a⁻²·τ·z²·N_A²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "torque": "-1", "cat_activity": "-2", "avogadro": "-2"}
5
acceleration,illuminance,lum_intensity,mass,torque
m·a·τ·I_v·E_v
mechanics,photometry
m²·a²·τ⁻²·I_v·E_v⁻¹
I_v = k₀ · m⁻²·a⁻²·τ²·E_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "torque": "-2", "lum_intensity": "1", "illuminance": "-1"}
5
acceleration,lum_intensity,luminance,mass,torque
m·a·τ·I_v·L_v
mechanics,photometry
m²·a²·τ⁻²·I_v·L_v⁻¹
I_v = k₀ · m⁻²·a⁻²·τ²·L_v
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "torque": "-2", "lum_intensity": "1", "luminance": "-1"}
4
acceleration,grav_const,mass,torque
m·a·τ·G
constants,mechanics
m³·a·τ⁻²·G
a = k₀ · m⁻³·τ²·G⁻¹
null
1
2
3
7
5.7
3.8
true
{"mass": "3", "acceleration": "1", "torque": "-2", "grav_const": "1"}
4
acceleration,mass,planck,torque
m·a·τ·h
constants,mechanics
m·a²·τ⁻³·h²
m = k₀ · a⁻²·τ³·h⁻²
null
1
2
3
8
6.4
3.1
true
{"mass": "1", "acceleration": "2", "torque": "-3", "planck": "2"}
4
acceleration,ang_momentum,mass,power
m·a·P·Lₐ
mechanics
m²·a⁴·P⁻³·Lₐ
Lₐ = k₀ · m⁻²·a⁻⁴·P³
null
0
1
4
10
7.7
2.3
false
{"mass": "2", "acceleration": "4", "power": "-3", "ang_momentum": "1"}
4
acceleration,action,mass,power
m·a·P·S
mechanics
m²·a⁴·P⁻³·S
S = k₀ · m⁻²·a⁻⁴·P³
null
0
1
4
10
7.7
2.3
false
{"mass": "2", "acceleration": "4", "power": "-3", "action": "1"}
4
acceleration,inertia,mass,power
m·a·P·J
mechanics
m³·a⁶·P⁻⁴·J
J = k₀ · m⁻³·a⁻⁶·P⁴
null
0
1
6
14
11.5
-1.5
false
{"mass": "3", "acceleration": "6", "power": "-4", "inertia": "1"}
4
acceleration,mass,power,pressure
m·a·P·P_p
mechanics
m⁵·a⁷·P⁻⁴·P_p⁻¹
P_p = k₀ · m⁵·a⁷·P⁻⁴
null
0
1
7
17
14.1
-4.1
false
{"mass": "5", "acceleration": "7", "power": "-4", "pressure": "-1"}
4
acceleration,density,mass,power
m·a·P·ρ
mechanics
m⁷·a⁹·P⁻⁶·ρ⁻¹
ρ = k₀ · m⁷·a⁹·P⁻⁶
null
0
1
9
23
19.3
-9.3
false
{"mass": "7", "acceleration": "9", "power": "-6", "density": "-1"}
4
acceleration,mass,power,viscosity
m·a·P·μ
mechanics
m⁴·a⁵·P⁻³·μ⁻¹
μ = k₀ · m⁴·a⁵·P⁻³
null
0
1
5
13
10.3
-0.3
false
{"mass": "4", "acceleration": "5", "power": "-3", "viscosity": "-1"}
4
acceleration,kin_viscosity,mass,power
m·a·P·ν
mechanics
m³·a⁴·P⁻³·ν
ν = k₀ · m⁻³·a⁻⁴·P³
null
0
1
4
11
8.4
1.6
false
{"mass": "3", "acceleration": "4", "power": "-3", "kin_viscosity": "1"}
4
acceleration,mass,omega,power
m·a·P·ω
mechanics
m·a²·P⁻¹·ω⁻¹
m = k₀ · a⁻²·P·ω
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "acceleration": "2", "power": "-1", "omega": "-1"}
4
acceleration,frequency,mass,power
m·a·P·f
mechanics
m·a²·P⁻¹·f⁻¹
m = k₀ · a⁻²·P·f
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "acceleration": "2", "power": "-1", "frequency": "-1"}
4
acceleration,mass,power,stiffness
m·a·P·k
mechanics
m³·a⁴·P⁻²·k⁻¹
k = k₀ · m³·a⁴·P⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "acceleration": "4", "power": "-2", "stiffness": "-1"}
4
acceleration,mass,power,surf_tension
m·a·P·γ
mechanics
m³·a⁴·P⁻²·γ⁻¹
γ = k₀ · m³·a⁴·P⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "acceleration": "4", "power": "-2", "surf_tension": "-1"}
4
acceleration,area,mass,power
m·a·P·A
mechanics
m⁴·a⁶·P⁻⁴·A
A = k₀ · m⁻⁴·a⁻⁶·P⁴
null
0
1
6
15
12.2
-2.2
false
{"mass": "4", "acceleration": "6", "power": "-4", "area": "1"}
4
acceleration,mass,power,volume
m·a·P·V
mechanics
m⁶·a⁹·P⁻⁶·V
V = k₀ · m⁻⁶·a⁻⁹·P⁶
null
0
1
9
22
18.6
-8.6
false
{"mass": "6", "acceleration": "9", "power": "-6", "volume": "1"}
4
acceleration,flowrate,mass,power
m·a·P·Q
mechanics
m⁵·a⁷·P⁻⁵·Q
Q = k₀ · m⁻⁵·a⁻⁷·P⁵
null
0
1
7
18
14.8
-4.8
false
{"mass": "5", "acceleration": "7", "power": "-5", "flowrate": "1"}
5
acceleration,entropy,mass,power,temperature
m·a·P·Θ·S_e
mechanics,thermo
m·a²·P⁻²·Θ·S_e
m = k₀ · a⁻²·P²·Θ⁻¹·S_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "power": "-2", "temperature": "1", "entropy": "1"}
5
acceleration,heat_capacity,mass,power,temperature
m·a·P·Θ·C
mechanics,thermo
m·a²·P⁻²·Θ·C
m = k₀ · a⁻²·P²·Θ⁻¹·C⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "power": "-2", "temperature": "1", "heat_capacity": "1"}
5
acceleration,mass,power,specific_heat,temperature
m·a·P·Θ·c
mechanics,thermo
m²·a²·P⁻²·Θ·c
Θ = k₀ · m⁻²·a⁻²·P²·c⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "power": "-2", "temperature": "1", "specific_heat": "1"}
5
acceleration,mass,power,temperature,thermal_cond
m·a·P·Θ·κ
mechanics,thermo
m²·a³·P⁻¹·Θ⁻¹·κ⁻¹
P = k₀ · m²·a³·Θ⁻¹·κ⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "acceleration": "3", "power": "-1", "temperature": "-1", "thermal_cond": "-1"}
6
acceleration,amount,gas_constant,mass,power,temperature
m·a·P·Θ·n·R
chemistry,mechanics,thermo
m·a²·P⁻²·Θ·n·R
m = k₀ · a⁻²·P²·Θ⁻¹·n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "power": "-2", "temperature": "1", "amount": "1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_mass,power,temperature
m·a·P·Θ·M_m·R
chemistry,mechanics,thermo
m²·a²·P⁻²·Θ·M_m⁻¹·R
Θ = k₀ · m⁻²·a⁻²·P²·M_m·R⁻¹
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "acceleration": "2", "power": "-2", "temperature": "1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,concentration,gas_constant,mass,power,temperature
m·a·P·Θ·c_n·R
chemistry,mechanics,thermo
m⁵·a⁷·P⁻⁴·Θ⁻¹·c_n⁻¹·R⁻¹
Θ = k₀ · m⁵·a⁷·P⁻⁴·c_n⁻¹·R⁻¹
null
0
3
7
19
17.3
-8.3
false
{"mass": "5", "acceleration": "7", "power": "-4", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,avogadro,gas_constant,mass,power,temperature
m·a·P·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·a²·P⁻²·Θ·R·N_A⁻¹
m = k₀ · a⁻²·P²·Θ⁻¹·R⁻¹·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "acceleration": "2", "power": "-2", "temperature": "1", "gas_constant": "1", "avogadro": "-1"}
5
acceleration,boltzmann,mass,power,temperature
m·a·P·Θ·k_B
constants,mechanics,thermo
m·a²·P⁻²·Θ·k_B
m = k₀ · a⁻²·P²·Θ⁻¹·k_B⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "power": "-2", "temperature": "1", "boltzmann": "1"}
5
acceleration,entropy,mass,power,thermal_cond
m·a·P·S_e·κ
mechanics,thermo
m³·a⁵·P⁻³·S_e·κ⁻¹
S_e = k₀ · m⁻³·a⁻⁵·P³·κ
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "acceleration": "5", "power": "-3", "entropy": "1", "thermal_cond": "-1"}
5
acceleration,entropy,expansion,mass,power
m·a·P·S_e·β
mechanics,thermo
m·a²·P⁻²·S_e·β⁻¹
m = k₀ · a⁻²·P²·S_e⁻¹·β
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "power": "-2", "entropy": "1", "expansion": "-1"}
6
acceleration,concentration,entropy,gas_constant,mass,power
m·a·P·S_e·c_n·R
chemistry,mechanics,thermo
m⁶·a⁹·P⁻⁶·S_e·c_n⁻¹·R⁻¹
S_e = k₀ · m⁻⁶·a⁻⁹·P⁶·c_n·R
null
0
3
9
24
21.8
-12.8
false
{"mass": "6", "acceleration": "9", "power": "-6", "entropy": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,entropy,gas_constant,mass,molar_energy,power
m·a·P·S_e·E_m·R
chemistry,mechanics,thermo
m·a²·P⁻²·S_e·E_m·R⁻¹
m = k₀ · a⁻²·P²·S_e⁻¹·E_m⁻¹·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "power": "-2", "entropy": "1", "molar_energy": "1", "gas_constant": "-1"}
6
acceleration,cat_activity,entropy,gas_constant,mass,power
m·a·P·S_e·R·z
chemistry,mechanics,thermo
m·a²·P⁻¹·S_e·R⁻¹·z⁻¹
m = k₀ · a⁻²·P·S_e⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "power": "-1", "entropy": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
acceleration,heat_capacity,mass,power,thermal_cond
m·a·P·C·κ
mechanics,thermo
m³·a⁵·P⁻³·C·κ⁻¹
C = k₀ · m⁻³·a⁻⁵·P³·κ
null
0
2
5
13
11.2
-1.7
false
{"mass": "3", "acceleration": "5", "power": "-3", "heat_capacity": "1", "thermal_cond": "-1"}
5
acceleration,expansion,heat_capacity,mass,power
m·a·P·C·β
mechanics,thermo
m·a²·P⁻²·C·β⁻¹
m = k₀ · a⁻²·P²·C⁻¹·β
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "power": "-2", "heat_capacity": "1", "expansion": "-1"}
6
acceleration,concentration,gas_constant,heat_capacity,mass,power
m·a·P·C·c_n·R
chemistry,mechanics,thermo
m⁶·a⁹·P⁻⁶·C·c_n⁻¹·R⁻¹
C = k₀ · m⁻⁶·a⁻⁹·P⁶·c_n·R
null
0
3
9
24
21.8
-12.8
false
{"mass": "6", "acceleration": "9", "power": "-6", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,gas_constant,heat_capacity,mass,molar_energy,power
m·a·P·C·E_m·R
chemistry,mechanics,thermo
m·a²·P⁻²·C·E_m·R⁻¹
m = k₀ · a⁻²·P²·C⁻¹·E_m⁻¹·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "power": "-2", "heat_capacity": "1", "molar_energy": "1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,heat_capacity,mass,power
m·a·P·C·R·z
chemistry,mechanics,thermo
m·a²·P⁻¹·C·R⁻¹·z⁻¹
m = k₀ · a⁻²·P·C⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "power": "-1", "heat_capacity": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
acceleration,mass,power,specific_heat,thermal_cond
m·a·P·c·κ
mechanics,thermo
m⁴·a⁵·P⁻³·c·κ⁻¹
c = k₀ · m⁻⁴·a⁻⁵·P³·κ
null
0
2
5
14
11.9
-2.4
false
{"mass": "4", "acceleration": "5", "power": "-3", "specific_heat": "1", "thermal_cond": "-1"}
5
acceleration,expansion,mass,power,specific_heat
m·a·P·c·β
mechanics,thermo
m²·a²·P⁻²·c·β⁻¹
c = k₀ · m⁻²·a⁻²·P²·β
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "power": "-2", "specific_heat": "1", "expansion": "-1"}
6
acceleration,concentration,gas_constant,mass,power,specific_heat
m·a·P·c·c_n·R
chemistry,mechanics,thermo
m⁷·a⁹·P⁻⁶·c·c_n⁻¹·R⁻¹
c = k₀ · m⁻⁷·a⁻⁹·P⁶·c_n·R
null
0
3
9
25
22.5
-13.5
false
{"mass": "7", "acceleration": "9", "power": "-6", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,gas_constant,mass,molar_energy,power,specific_heat
m·a·P·c·E_m·R
chemistry,mechanics,thermo
m²·a²·P⁻²·c·E_m·R⁻¹
c = k₀ · m⁻²·a⁻²·P²·E_m⁻¹·R
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "acceleration": "2", "power": "-2", "specific_heat": "1", "molar_energy": "1", "gas_constant": "-1"}
6
acceleration,cat_activity,gas_constant,mass,power,specific_heat
m·a·P·c·R·z
chemistry,mechanics,thermo
m²·a²·P⁻¹·c·R⁻¹·z⁻¹
P = k₀ · m²·a²·c·R⁻¹·z⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "2", "power": "-1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
acceleration,expansion,mass,power,thermal_cond
m·a·P·κ·β
mechanics,thermo
m²·a³·P⁻¹·κ⁻¹·β
P = k₀ · m²·a³·κ⁻¹·β
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "acceleration": "3", "power": "-1", "thermal_cond": "-1", "expansion": "1"}
6
acceleration,amount,gas_constant,mass,power,thermal_cond
m·a·P·κ·n·R
chemistry,mechanics,thermo
m³·a⁵·P⁻³·κ⁻¹·n·R
κ = k₀ · m³·a⁵·P⁻³·n·R
null
0
3
5
14
12.8
-3.8
false
{"mass": "3", "acceleration": "5", "power": "-3", "thermal_cond": "-1", "amount": "1", "gas_constant": "1"}
6
acceleration,gas_constant,mass,molar_mass,power,thermal_cond
m·a·P·κ·M_m·R
chemistry,mechanics,thermo
m⁴·a⁵·P⁻³·κ⁻¹·M_m⁻¹·R
κ = k₀ · m⁴·a⁵·P⁻³·M_m⁻¹·R
null
0
3
5
15
13.5
-4.5
false
{"mass": "4", "acceleration": "5", "power": "-3", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,concentration,gas_constant,mass,power,thermal_cond
m·a·P·κ·c_n·R
chemistry,mechanics,thermo
m³·a⁴·P⁻³·κ·c_n⁻¹·R⁻¹
κ = k₀ · m⁻³·a⁻⁴·P³·c_n·R
null
0
3
4
13
11.6
-2.6
false
{"mass": "3", "acceleration": "4", "power": "-3", "thermal_cond": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,gas_constant,mass,molar_energy,power,thermal_cond
m·a·P·κ·E_m·R
chemistry,mechanics,thermo
m²·a³·P⁻¹·κ⁻¹·E_m⁻¹·R
P = k₀ · m²·a³·κ⁻¹·E_m⁻¹·R
null
0
3
3
9
8.3
0.7
false
{"mass": "2", "acceleration": "3", "power": "-1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
acceleration,cat_activity,gas_constant,mass,power,thermal_cond
m·a·P·κ·R·z
chemistry,mechanics,thermo
m²·a³·P⁻²·κ⁻¹·R·z
κ = k₀ · m²·a³·P⁻²·R·z
null
0
3
3
10
9
0
false
{"mass": "2", "acceleration": "3", "power": "-2", "thermal_cond": "-1", "gas_constant": "1", "cat_activity": "1"}
6
acceleration,avogadro,gas_constant,mass,power,thermal_cond
m·a·P·κ·R·N_A
chemistry,constants,mechanics,thermo
m³·a⁵·P⁻³·κ⁻¹·R·N_A⁻¹
κ = k₀ · m³·a⁵·P⁻³·R·N_A⁻¹
null
1
4
5
14
13.4
-4.9
false
{"mass": "3", "acceleration": "5", "power": "-3", "thermal_cond": "-1", "gas_constant": "1", "avogadro": "-1"}
5
acceleration,boltzmann,mass,power,thermal_cond
m·a·P·κ·k_B
constants,mechanics,thermo
m³·a⁵·P⁻³·κ⁻¹·k_B
κ = k₀ · m³·a⁵·P⁻³·k_B
null
1
3
5
13
11.8
-2.8
false
{"mass": "3", "acceleration": "5", "power": "-3", "thermal_cond": "-1", "boltzmann": "1"}
4
acceleration,mass,power,thermal_diff
m·a·P·α
mechanics,thermo
m³·a⁴·P⁻³·α
α = k₀ · m⁻³·a⁻⁴·P³
null
0
2
4
11
9
0.5
false
{"mass": "3", "acceleration": "4", "power": "-3", "thermal_diff": "1"}
6
acceleration,amount,expansion,gas_constant,mass,power
m·a·P·β·n·R
chemistry,mechanics,thermo
m·a²·P⁻²·β⁻¹·n·R
m = k₀ · a⁻²·P²·β·n⁻¹·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "power": "-2", "expansion": "-1", "amount": "1", "gas_constant": "1"}
6
acceleration,expansion,gas_constant,mass,molar_mass,power
m·a·P·β·M_m·R
chemistry,mechanics,thermo
m²·a²·P⁻²·β⁻¹·M_m⁻¹·R
β = k₀ · m²·a²·P⁻²·M_m⁻¹·R
null
0
3
2
9
7.8
1.2
false
{"mass": "2", "acceleration": "2", "power": "-2", "expansion": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,concentration,expansion,gas_constant,mass,power
m·a·P·β·c_n·R
chemistry,mechanics,thermo
m⁵·a⁷·P⁻⁴·β·c_n⁻¹·R⁻¹
β = k₀ · m⁻⁵·a⁻⁷·P⁴·c_n·R
null
0
3
7
19
17.3
-8.3
false
{"mass": "5", "acceleration": "7", "power": "-4", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,avogadro,expansion,gas_constant,mass,power
m·a·P·β·R·N_A
chemistry,constants,mechanics,thermo
m·a²·P⁻²·β⁻¹·R·N_A⁻¹
m = k₀ · a⁻²·P²·β·R⁻¹·N_A
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "acceleration": "2", "power": "-2", "expansion": "-1", "gas_constant": "1", "avogadro": "-1"}
5
acceleration,boltzmann,expansion,mass,power
m·a·P·β·k_B
constants,mechanics,thermo
m·a²·P⁻²·β⁻¹·k_B
m = k₀ · a⁻²·P²·β·k_B⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "power": "-2", "expansion": "-1", "boltzmann": "1"}
5
acceleration,charge,current,mass,power
m·a·P·q·i
em,mechanics
m·a²·P⁻¹·q·i⁻¹
m = k₀ · a⁻²·P·q⁻¹·i
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "power": "-1", "charge": "1", "current": "-1"}
5
acceleration,charge,mass,power,voltage
m·a·P·q·U
em,mechanics
m·a²·P⁻²·q·U
m = k₀ · a⁻²·P²·q⁻¹·U⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "power": "-2", "charge": "1", "voltage": "1"}
5
acceleration,charge,mass,power,resistance
m·a·P·q·R
em,mechanics
m²·a⁴·P⁻³·q²·R
R = k₀ · m⁻²·a⁻⁴·P³·q⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "2", "acceleration": "4", "power": "-3", "charge": "2", "resistance": "1"}
5
acceleration,capacitance,charge,mass,power
m·a·P·q·C_e
em,mechanics
m·a²·P⁻²·q²·C_e⁻¹
m = k₀ · a⁻²·P²·q⁻²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "power": "-2", "charge": "2", "capacitance": "-1"}
5
acceleration,charge,inductance,mass,power
m·a·P·q·L_e
em,mechanics
m³·a⁶·P⁻⁴·q²·L_e
L_e = k₀ · m⁻³·a⁻⁶·P⁴·q⁻²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "6", "power": "-4", "charge": "2", "inductance": "1"}
5
acceleration,bfield,charge,mass,power
m·a·P·q·B
em,mechanics
m²·a²·P⁻¹·q⁻¹·B⁻¹
P = k₀ · m²·a²·q⁻¹·B⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "2", "acceleration": "2", "power": "-1", "charge": "-1", "bfield": "-1"}
5
acceleration,charge,mag_flux,mass,power
m·a·P·q·Φ
em,mechanics
m²·a⁴·P⁻³·q·Φ
q = k₀ · m⁻²·a⁻⁴·P³·Φ⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "acceleration": "4", "power": "-3", "charge": "1", "mag_flux": "1"}
5
acceleration,charge,mass,permittivity,power
m·a·P·q·ε
em,mechanics
m³·a⁵·P⁻⁴·q²·ε⁻¹
ε = k₀ · m³·a⁵·P⁻⁴·q²
null
0
2
5
15
12.6
-3.1
false
{"mass": "3", "acceleration": "5", "power": "-4", "charge": "2", "permittivity": "-1"}
5
acceleration,charge,mass,permeability,power
m·a·P·q·μ₀
em,mechanics
m·a³·P⁻²·q²·μ₀
m = k₀ · a⁻³·P²·q⁻²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "3", "power": "-2", "charge": "2", "permeability": "1"}
5
acceleration,charge,conductivity,mass,power
m·a·P·q·σ
em,mechanics
m⁴·a⁷·P⁻⁵·q²·σ⁻¹
σ = k₀ · m⁴·a⁷·P⁻⁵·q²
null
0
2
7
19
16.4
-6.9
false
{"mass": "4", "acceleration": "7", "power": "-5", "charge": "2", "conductivity": "-1"}
5
acceleration,charge,mass,power,resistivity
m·a·P·q·ρ_e
em,mechanics
m⁴·a⁷·P⁻⁵·q²·ρ_e
ρ_e = k₀ · m⁻⁴·a⁻⁷·P⁵·q⁻²
null
0
2
7
19
16.4
-6.9
false
{"mass": "4", "acceleration": "7", "power": "-5", "charge": "2", "resistivity": "1"}
5
acceleration,current,inductance,mass,power
m·a·P·i·L_e
em,mechanics
m·a²·P⁻²·i²·L_e
m = k₀ · a⁻²·P²·i⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "power": "-2", "current": "2", "inductance": "1"}
5
acceleration,current,efield,mass,power
m·a·P·i·E_f
em,mechanics
m²·a³·P⁻¹·i⁻¹·E_f⁻¹
P = k₀ · m²·a³·i⁻¹·E_f⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "2", "acceleration": "3", "power": "-1", "current": "-1", "efield": "-1"}
5
acceleration,bfield,current,mass,power
m·a·P·i·B
em,mechanics
m³·a⁴·P⁻²·i⁻¹·B⁻¹
i = k₀ · m³·a⁴·P⁻²·B⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "3", "acceleration": "4", "power": "-2", "current": "-1", "bfield": "-1"}
5
acceleration,current,mag_flux,mass,power
m·a·P·i·Φ
em,mechanics
m·a²·P⁻²·i·Φ
m = k₀ · a⁻²·P²·i⁻¹·Φ⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "power": "-2", "current": "1", "mag_flux": "1"}
5
acceleration,current,mass,permittivity,power
m·a·P·i·ε
em,mechanics
m·a·P⁻²·i²·ε⁻¹
m = k₀ · a⁻¹·P²·i⁻²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "power": "-2", "current": "2", "permittivity": "-1"}
5
acceleration,conductivity,current,mass,power
m·a·P·i·σ
em,mechanics
m²·a³·P⁻³·i²·σ⁻¹
σ = k₀ · m²·a³·P⁻³·i²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "3", "power": "-3", "current": "2", "conductivity": "-1"}
5
acceleration,current,mass,power,resistivity
m·a·P·i·ρ_e
em,mechanics
m²·a³·P⁻³·i²·ρ_e
ρ_e = k₀ · m⁻²·a⁻³·P³·i⁻²
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "3", "power": "-3", "current": "2", "resistivity": "1"}
5
acceleration,current,elem_charge,mass,power
m·a·P·i·e
constants,em,mechanics
m·a²·P⁻¹·i⁻¹·e
m = k₀ · a⁻²·P·i·e⁻¹
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "acceleration": "2", "power": "-1", "current": "-1", "elem_charge": "1"}