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,charge,conductivity,mass,omega
m·a·ω·q·σ
em,mechanics
m·a³·ω⁻⁵·q⁻²·σ
m = k₀ · a⁻³·ω⁵·q²·σ⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "1", "acceleration": "3", "omega": "-5", "charge": "-2", "conductivity": "1"}
5
acceleration,charge,mass,omega,resistivity
m·a·ω·q·ρ_e
em,mechanics
m·a³·ω⁻⁵·q⁻²·ρ_e⁻¹
m = k₀ · a⁻³·ω⁵·q²·ρ_e
null
0
2
5
12
10.5
-1
false
{"mass": "1", "acceleration": "3", "omega": "-5", "charge": "-2", "resistivity": "-1"}
5
acceleration,current,mass,omega,voltage
m·a·ω·i·U
em,mechanics
m·a²·ω⁻¹·i⁻¹·U⁻¹
m = k₀ · a⁻²·ω·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "omega": "-1", "current": "-1", "voltage": "-1"}
5
acceleration,current,mass,omega,resistance
m·a·ω·i·R
em,mechanics
m·a²·ω⁻¹·i⁻²·R⁻¹
m = k₀ · a⁻²·ω·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-1", "current": "-2", "resistance": "-1"}
5
acceleration,current,inductance,mass,omega
m·a·ω·i·L_e
em,mechanics
m·a²·ω⁻²·i⁻²·L_e⁻¹
m = k₀ · a⁻²·ω²·i²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "omega": "-2", "current": "-2", "inductance": "-1"}
5
acceleration,current,efield,mass,omega
m·a·ω·i·E_f
em,mechanics
m·a·ω·i⁻¹·E_f⁻¹
m = k₀ · a⁻¹·ω⁻¹·i·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "omega": "1", "current": "-1", "efield": "-1"}
5
acceleration,current,mag_flux,mass,omega
m·a·ω·i·Φ
em,mechanics
m·a²·ω⁻²·i⁻¹·Φ⁻¹
m = k₀ · a⁻²·ω²·i·Φ
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "current": "-1", "mag_flux": "-1"}
5
acceleration,current,mass,omega,permittivity
m·a·ω·i·ε
em,mechanics
m·a³·ω⁻²·i⁻²·ε
m = k₀ · a⁻³·ω²·i²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "3", "omega": "-2", "current": "-2", "permittivity": "1"}
5
acceleration,conductivity,current,mass,omega
m·a·ω·i·σ
em,mechanics
m·a³·ω⁻³·i⁻²·σ
m = k₀ · a⁻³·ω³·i²·σ⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "3", "omega": "-3", "current": "-2", "conductivity": "1"}
5
acceleration,current,mass,omega,resistivity
m·a·ω·i·ρ_e
em,mechanics
m·a³·ω⁻³·i⁻²·ρ_e⁻¹
m = k₀ · a⁻³·ω³·i²·ρ_e
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "3", "omega": "-3", "current": "-2", "resistivity": "-1"}
5
acceleration,mass,omega,resistance,voltage
m·a·ω·U·R
em,mechanics
m·a²·ω⁻¹·U⁻²·R
m = k₀ · a⁻²·ω·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-1", "voltage": "-2", "resistance": "1"}
5
acceleration,capacitance,mass,omega,voltage
m·a·ω·U·C_e
em,mechanics
m·a²·ω⁻²·U⁻²·C_e⁻¹
m = k₀ · a⁻²·ω²·U²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "omega": "-2", "voltage": "-2", "capacitance": "-1"}
5
acceleration,mass,omega,permeability,voltage
m·a·ω·U·μ₀
em,mechanics
m·a³·ω⁻²·U⁻²·μ₀
m = k₀ · a⁻³·ω²·U²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "3", "omega": "-2", "voltage": "-2", "permeability": "1"}
5
acceleration,conductivity,mass,omega,voltage
m·a·ω·U·σ
em,mechanics
m·a·ω·U⁻²·σ⁻¹
m = k₀ · a⁻¹·ω⁻¹·U²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "omega": "1", "voltage": "-2", "conductivity": "-1"}
5
acceleration,mass,omega,resistivity,voltage
m·a·ω·U·ρ_e
em,mechanics
m·a·ω·U⁻²·ρ_e
m = k₀ · a⁻¹·ω⁻¹·U²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "omega": "1", "voltage": "-2", "resistivity": "1"}
5
acceleration,elem_charge,mass,omega,voltage
m·a·ω·U·e
constants,em,mechanics
m·a²·ω⁻²·U⁻¹·e⁻¹
m = k₀ · a⁻²·ω²·U·e
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "voltage": "-1", "elem_charge": "-1"}
5
acceleration,bfield,mass,omega,resistance
m·a·ω·R·B
em,mechanics
m·a⁻²·ω⁵·R·B⁻²
m = k₀ · a²·ω⁻⁵·R⁻¹·B²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "acceleration": "-2", "omega": "5", "resistance": "1", "bfield": "-2"}
5
acceleration,mag_flux,mass,omega,resistance
m·a·ω·R·Φ
em,mechanics
m·a²·ω⁻³·R·Φ⁻²
m = k₀ · a⁻²·ω³·R⁻¹·Φ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "2", "omega": "-3", "resistance": "1", "mag_flux": "-2"}
5
acceleration,elem_charge,mass,omega,resistance
m·a·ω·R·e
constants,em,mechanics
m·a²·ω⁻³·R⁻¹·e⁻²
m = k₀ · a⁻²·ω³·R·e²
null
1
3
3
9
8
1
false
{"mass": "1", "acceleration": "2", "omega": "-3", "resistance": "-1", "elem_charge": "-2"}
5
acceleration,bfield,capacitance,mass,omega
m·a·ω·C_e·B
em,mechanics
m·a⁻²·ω⁴·C_e⁻¹·B⁻²
m = k₀ · a²·ω⁻⁴·C_e·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "-2", "omega": "4", "capacitance": "-1", "bfield": "-2"}
5
acceleration,capacitance,mag_flux,mass,omega
m·a·ω·C_e·Φ
em,mechanics
m·a²·ω⁻⁴·C_e⁻¹·Φ⁻²
m = k₀ · a⁻²·ω⁴·C_e·Φ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "omega": "-4", "capacitance": "-1", "mag_flux": "-2"}
5
acceleration,capacitance,elem_charge,mass,omega
m·a·ω·C_e·e
constants,em,mechanics
m·a²·ω⁻²·C_e·e⁻²
m = k₀ · a⁻²·ω²·C_e⁻¹·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "acceleration": "2", "omega": "-2", "capacitance": "1", "elem_charge": "-2"}
5
acceleration,bfield,inductance,mass,omega
m·a·ω·L_e·B
em,mechanics
m·a⁻²·ω⁶·L_e·B⁻²
m = k₀ · a²·ω⁻⁶·L_e⁻¹·B²
null
0
2
6
12
11
-1.5
false
{"mass": "1", "acceleration": "-2", "omega": "6", "inductance": "1", "bfield": "-2"}
5
acceleration,inductance,mag_flux,mass,omega
m·a·ω·L_e·Φ
em,mechanics
m·a²·ω⁻²·L_e·Φ⁻²
m = k₀ · a⁻²·ω²·L_e⁻¹·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "omega": "-2", "inductance": "1", "mag_flux": "-2"}
5
acceleration,elem_charge,inductance,mass,omega
m·a·ω·L_e·e
constants,em,mechanics
m·a²·ω⁻⁴·L_e⁻¹·e⁻²
m = k₀ · a⁻²·ω⁴·L_e·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "acceleration": "2", "omega": "-4", "inductance": "-1", "elem_charge": "-2"}
5
acceleration,efield,mass,omega,permittivity
m·a·ω·E_f·ε
em,mechanics
m·a⁻¹·ω⁴·E_f⁻²·ε⁻¹
m = k₀ · a·ω⁻⁴·E_f²·ε
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "acceleration": "-1", "omega": "4", "efield": "-2", "permittivity": "-1"}
5
acceleration,efield,mass,omega,permeability
m·a·ω·E_f·μ₀
em,mechanics
m·a·ω²·E_f⁻²·μ₀
m = k₀ · a⁻¹·ω⁻²·E_f²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "omega": "2", "efield": "-2", "permeability": "1"}
5
acceleration,conductivity,efield,mass,omega
m·a·ω·E_f·σ
em,mechanics
m·a⁻¹·ω⁵·E_f⁻²·σ⁻¹
m = k₀ · a·ω⁻⁵·E_f²·σ
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "acceleration": "-1", "omega": "5", "efield": "-2", "conductivity": "-1"}
5
acceleration,efield,mass,omega,resistivity
m·a·ω·E_f·ρ_e
em,mechanics
m·a⁻¹·ω⁵·E_f⁻²·ρ_e
m = k₀ · a·ω⁻⁵·E_f²·ρ_e⁻¹
null
0
2
5
10
9.1
0.4
false
{"mass": "1", "acceleration": "-1", "omega": "5", "efield": "-2", "resistivity": "1"}
5
acceleration,bfield,mass,omega,permittivity
m·a·ω·B·ε
em,mechanics
m·a⁻³·ω⁶·B⁻²·ε⁻¹
m = k₀ · a³·ω⁻⁶·B²·ε
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "acceleration": "-3", "omega": "6", "bfield": "-2", "permittivity": "-1"}
5
acceleration,bfield,mass,omega,permeability
m·a·ω·B·μ₀
em,mechanics
m·a⁻¹·ω⁴·B⁻²·μ₀
m = k₀ · a·ω⁻⁴·B²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "acceleration": "-1", "omega": "4", "bfield": "-2", "permeability": "1"}
5
acceleration,bfield,conductivity,mass,omega
m·a·ω·B·σ
em,mechanics
m·a⁻³·ω⁷·B⁻²·σ⁻¹
m = k₀ · a³·ω⁻⁷·B²·σ
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "acceleration": "-3", "omega": "7", "bfield": "-2", "conductivity": "-1"}
5
acceleration,bfield,mass,omega,resistivity
m·a·ω·B·ρ_e
em,mechanics
m·a⁻³·ω⁷·B⁻²·ρ_e
m = k₀ · a³·ω⁻⁷·B²·ρ_e⁻¹
null
0
2
7
14
12.9
-3.4
false
{"mass": "1", "acceleration": "-3", "omega": "7", "bfield": "-2", "resistivity": "1"}
5
acceleration,mag_flux,mass,omega,permittivity
m·a·ω·Φ·ε
em,mechanics
m·a·ω⁻²·Φ⁻²·ε⁻¹
m = k₀ · a⁻¹·ω²·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "omega": "-2", "mag_flux": "-2", "permittivity": "-1"}
5
acceleration,mag_flux,mass,omega,permeability
m·a·ω·Φ·μ₀
em,mechanics
m·a³·ω⁻⁴·Φ⁻²·μ₀
m = k₀ · a⁻³·ω⁴·Φ²·μ₀⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "acceleration": "3", "omega": "-4", "mag_flux": "-2", "permeability": "1"}
5
acceleration,conductivity,mag_flux,mass,omega
m·a·ω·Φ·σ
em,mechanics
m·a·ω⁻¹·Φ⁻²·σ⁻¹
m = k₀ · a⁻¹·ω·Φ²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "omega": "-1", "mag_flux": "-2", "conductivity": "-1"}
5
acceleration,mag_flux,mass,omega,resistivity
m·a·ω·Φ·ρ_e
em,mechanics
m·a·ω⁻¹·Φ⁻²·ρ_e
m = k₀ · a⁻¹·ω·Φ²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "omega": "-1", "mag_flux": "-2", "resistivity": "1"}
5
acceleration,elem_charge,mag_flux,mass,omega
m·a·ω·Φ·e
constants,em,mechanics
m·a²·ω⁻³·Φ⁻¹·e⁻¹
m = k₀ · a⁻²·ω³·Φ·e
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "acceleration": "2", "omega": "-3", "mag_flux": "-1", "elem_charge": "-1"}
5
acceleration,elem_charge,mass,omega,permittivity
m·a·ω·ε·e
constants,em,mechanics
m·a³·ω⁻⁴·ε·e⁻²
m = k₀ · a⁻³·ω⁴·ε⁻¹·e²
null
1
3
4
11
9.9
-0.9
false
{"mass": "1", "acceleration": "3", "omega": "-4", "permittivity": "1", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,omega,permeability
m·a·ω·μ₀·e
constants,em,mechanics
m·a·ω⁻²·μ₀⁻¹·e⁻²
m = k₀ · a⁻¹·ω²·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "1", "omega": "-2", "permeability": "-1", "elem_charge": "-2"}
5
acceleration,conductivity,elem_charge,mass,omega
m·a·ω·σ·e
constants,em,mechanics
m·a³·ω⁻⁵·σ·e⁻²
m = k₀ · a⁻³·ω⁵·σ⁻¹·e²
null
1
3
5
12
11.1
-2.1
false
{"mass": "1", "acceleration": "3", "omega": "-5", "conductivity": "1", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,omega,resistivity
m·a·ω·ρ_e·e
constants,em,mechanics
m·a³·ω⁻⁵·ρ_e⁻¹·e⁻²
m = k₀ · a⁻³·ω⁵·ρ_e·e²
null
1
3
5
12
11.1
-2.1
false
{"mass": "1", "acceleration": "3", "omega": "-5", "resistivity": "-1", "elem_charge": "-2"}
5
acceleration,amount,mass,molar_energy,omega
m·a·ω·n·E_m
chemistry,mechanics
m·a²·ω⁻²·n⁻¹·E_m⁻¹
m = k₀ · a⁻²·ω²·n·E_m
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "omega": "-2", "amount": "-1", "molar_energy": "-1"}
5
acceleration,concentration,mass,molar_mass,omega
m·a·ω·M_m·c_n
chemistry,mechanics
m·a⁻³·ω⁶·M_m⁻¹·c_n⁻¹
m = k₀ · a³·ω⁻⁶·M_m·c_n
null
0
2
6
12
11
-1.5
false
{"mass": "1", "acceleration": "-3", "omega": "6", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,concentration,mass,molar_energy,omega
m·a·ω·c_n·E_m
chemistry,mechanics
m·a⁻¹·ω⁴·c_n⁻¹·E_m⁻¹
m = k₀ · a·ω⁻⁴·c_n·E_m
null
0
2
4
8
7.2
2.3
false
{"mass": "1", "acceleration": "-1", "omega": "4", "concentration": "-1", "molar_energy": "-1"}
6
acceleration,boltzmann,gas_constant,mass,molar_energy,omega
m·a·ω·E_m·R·k_B
chemistry,constants,mechanics
m·a²·ω⁻²·E_m⁻¹·R·k_B⁻¹
m = k₀ · a⁻²·ω²·E_m·R⁻¹·k_B
null
1
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "molar_energy": "-1", "gas_constant": "1", "boltzmann": "-1"}
5
acceleration,cat_activity,mass,molar_energy,omega
m·a·ω·E_m·z
chemistry,mechanics
m·a²·ω⁻¹·E_m⁻¹·z⁻¹
m = k₀ · a⁻²·ω·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "omega": "-1", "molar_energy": "-1", "cat_activity": "-1"}
5
acceleration,avogadro,mass,molar_energy,omega
m·a·ω·E_m·N_A
chemistry,constants,mechanics
m·a²·ω⁻²·E_m⁻¹·N_A
m = k₀ · a⁻²·ω²·E_m·N_A⁻¹
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "omega": "-2", "molar_energy": "-1", "avogadro": "1"}
4
acceleration,grav_const,mass,omega
m·a·ω·G
constants,mechanics
m·a⁻³·ω⁴·G
m = k₀ · a³·ω⁻⁴·G⁻¹
null
1
2
4
9
7.6
1.9
false
{"mass": "1", "acceleration": "-3", "omega": "4", "grav_const": "1"}
4
acceleration,mass,omega,planck
m·a·ω·h
constants,mechanics
m·a²·ω⁻³·h⁻¹
m = k₀ · a⁻²·ω³·h
null
1
2
3
7
5.7
3.8
true
{"mass": "1", "acceleration": "2", "omega": "-3", "planck": "-1"}
5
acceleration,entropy,frequency,mass,temperature
m·a·f·Θ·S_e
mechanics,thermo
m·a²·f⁻²·Θ⁻¹·S_e⁻¹
m = k₀ · a⁻²·f²·Θ·S_e
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "temperature": "-1", "entropy": "-1"}
5
acceleration,frequency,heat_capacity,mass,temperature
m·a·f·Θ·C
mechanics,thermo
m·a²·f⁻²·Θ⁻¹·C⁻¹
m = k₀ · a⁻²·f²·Θ·C
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "temperature": "-1", "heat_capacity": "-1"}
5
acceleration,frequency,mass,temperature,thermal_cond
m·a·f·Θ·κ
mechanics,thermo
m·a·f·Θ⁻¹·κ⁻¹
m = k₀ · a⁻¹·f⁻¹·Θ·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "frequency": "1", "temperature": "-1", "thermal_cond": "-1"}
6
acceleration,amount,frequency,gas_constant,mass,temperature
m·a·f·Θ·n·R
chemistry,mechanics,thermo
m·a²·f⁻²·Θ⁻¹·n⁻¹·R⁻¹
m = k₀ · a⁻²·f²·Θ·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "temperature": "-1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,concentration,frequency,gas_constant,mass,temperature
m·a·f·Θ·c_n·R
chemistry,mechanics,thermo
m·a⁻¹·f⁴·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · a·f⁻⁴·Θ·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "acceleration": "-1", "frequency": "4", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,frequency,gas_constant,mass,temperature
m·a·f·Θ·R·z
chemistry,mechanics,thermo
m·a²·f⁻¹·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · a⁻²·f·Θ·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "frequency": "-1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,frequency,gas_constant,mass,temperature
m·a·f·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·a²·f⁻²·Θ⁻¹·R⁻¹·N_A
m = k₀ · a⁻²·f²·Θ·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "temperature": "-1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,frequency,mass,temperature
m·a·f·Θ·k_B
constants,mechanics,thermo
m·a²·f⁻²·Θ⁻¹·k_B⁻¹
m = k₀ · a⁻²·f²·Θ·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "temperature": "-1", "boltzmann": "-1"}
5
acceleration,entropy,expansion,frequency,mass
m·a·f·S_e·β
mechanics,thermo
m·a²·f⁻²·S_e⁻¹·β
m = k₀ · a⁻²·f²·S_e·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "entropy": "-1", "expansion": "1"}
6
acceleration,entropy,frequency,gas_constant,mass,molar_energy
m·a·f·S_e·E_m·R
chemistry,mechanics,thermo
m·a²·f⁻²·S_e⁻¹·E_m⁻¹·R
m = k₀ · a⁻²·f²·S_e·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "entropy": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,expansion,frequency,heat_capacity,mass
m·a·f·C·β
mechanics,thermo
m·a²·f⁻²·C⁻¹·β
m = k₀ · a⁻²·f²·C·β⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "heat_capacity": "-1", "expansion": "1"}
6
acceleration,frequency,gas_constant,heat_capacity,mass,molar_energy
m·a·f·C·E_m·R
chemistry,mechanics,thermo
m·a²·f⁻²·C⁻¹·E_m⁻¹·R
m = k₀ · a⁻²·f²·C·E_m·R⁻¹
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "heat_capacity": "-1", "molar_energy": "-1", "gas_constant": "1"}
5
acceleration,frequency,mass,specific_heat,thermal_cond
m·a·f·c·κ
mechanics,thermo
m·a⁻¹·f³·c·κ⁻¹
m = k₀ · a·f⁻³·c⁻¹·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "acceleration": "-1", "frequency": "3", "specific_heat": "1", "thermal_cond": "-1"}
6
acceleration,concentration,frequency,gas_constant,mass,specific_heat
m·a·f·c·c_n·R
chemistry,mechanics,thermo
m·a⁻³·f⁶·c·c_n⁻¹·R⁻¹
m = k₀ · a³·f⁻⁶·c⁻¹·c_n·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "1", "acceleration": "-3", "frequency": "6", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
5
acceleration,expansion,frequency,mass,thermal_cond
m·a·f·κ·β
mechanics,thermo
m·a·f·κ⁻¹·β
m = k₀ · a⁻¹·f⁻¹·κ·β⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "frequency": "1", "thermal_cond": "-1", "expansion": "1"}
6
acceleration,frequency,gas_constant,mass,molar_mass,thermal_cond
m·a·f·κ·M_m·R
chemistry,mechanics,thermo
m·a⁻¹·f³·κ⁻¹·M_m⁻¹·R
m = k₀ · a·f⁻³·κ·M_m·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "acceleration": "-1", "frequency": "3", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,frequency,gas_constant,mass,molar_energy,thermal_cond
m·a·f·κ·E_m·R
chemistry,mechanics,thermo
m·a·f·κ⁻¹·E_m⁻¹·R
m = k₀ · a⁻¹·f⁻¹·κ·E_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "frequency": "1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
acceleration,amount,expansion,frequency,gas_constant,mass
m·a·f·β·n·R
chemistry,mechanics,thermo
m·a²·f⁻²·β·n⁻¹·R⁻¹
m = k₀ · a⁻²·f²·β⁻¹·n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "expansion": "1", "amount": "-1", "gas_constant": "-1"}
6
acceleration,concentration,expansion,frequency,gas_constant,mass
m·a·f·β·c_n·R
chemistry,mechanics,thermo
m·a⁻¹·f⁴·β·c_n⁻¹·R⁻¹
m = k₀ · a·f⁻⁴·β⁻¹·c_n·R
null
0
3
4
9
8.8
0.2
false
{"mass": "1", "acceleration": "-1", "frequency": "4", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,cat_activity,expansion,frequency,gas_constant,mass
m·a·f·β·R·z
chemistry,mechanics,thermo
m·a²·f⁻¹·β·R⁻¹·z⁻¹
m = k₀ · a⁻²·f·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "acceleration": "2", "frequency": "-1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
6
acceleration,avogadro,expansion,frequency,gas_constant,mass
m·a·f·β·R·N_A
chemistry,constants,mechanics,thermo
m·a²·f⁻²·β·R⁻¹·N_A
m = k₀ · a⁻²·f²·β⁻¹·R·N_A⁻¹
null
1
4
2
8
7.7
0.8
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "expansion": "1", "gas_constant": "-1", "avogadro": "1"}
5
acceleration,boltzmann,expansion,frequency,mass
m·a·f·β·k_B
constants,mechanics,thermo
m·a²·f⁻²·β·k_B⁻¹
m = k₀ · a⁻²·f²·β⁻¹·k_B
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "expansion": "1", "boltzmann": "-1"}
5
acceleration,charge,frequency,mass,voltage
m·a·f·q·U
em,mechanics
m·a²·f⁻²·q⁻¹·U⁻¹
m = k₀ · a⁻²·f²·q·U
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "charge": "-1", "voltage": "-1"}
5
acceleration,charge,frequency,mass,resistance
m·a·f·q·R
em,mechanics
m·a²·f⁻³·q⁻²·R⁻¹
m = k₀ · a⁻²·f³·q²·R
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "2", "frequency": "-3", "charge": "-2", "resistance": "-1"}
5
acceleration,capacitance,charge,frequency,mass
m·a·f·q·C_e
em,mechanics
m·a²·f⁻²·q⁻²·C_e
m = k₀ · a⁻²·f²·q²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "charge": "-2", "capacitance": "1"}
5
acceleration,charge,frequency,inductance,mass
m·a·f·q·L_e
em,mechanics
m·a²·f⁻⁴·q⁻²·L_e⁻¹
m = k₀ · a⁻²·f⁴·q²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "frequency": "-4", "charge": "-2", "inductance": "-1"}
5
acceleration,charge,frequency,mag_flux,mass
m·a·f·q·Φ
em,mechanics
m·a²·f⁻³·q⁻¹·Φ⁻¹
m = k₀ · a⁻²·f³·q·Φ
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "acceleration": "2", "frequency": "-3", "charge": "-1", "mag_flux": "-1"}
5
acceleration,charge,frequency,mass,permittivity
m·a·f·q·ε
em,mechanics
m·a³·f⁻⁴·q⁻²·ε
m = k₀ · a⁻³·f⁴·q²·ε⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "acceleration": "3", "frequency": "-4", "charge": "-2", "permittivity": "1"}
5
acceleration,charge,frequency,mass,permeability
m·a·f·q·μ₀
em,mechanics
m·a·f⁻²·q⁻²·μ₀⁻¹
m = k₀ · a⁻¹·f²·q²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "1", "frequency": "-2", "charge": "-2", "permeability": "-1"}
5
acceleration,charge,conductivity,frequency,mass
m·a·f·q·σ
em,mechanics
m·a³·f⁻⁵·q⁻²·σ
m = k₀ · a⁻³·f⁵·q²·σ⁻¹
null
0
2
5
12
10.5
-1
false
{"mass": "1", "acceleration": "3", "frequency": "-5", "charge": "-2", "conductivity": "1"}
5
acceleration,charge,frequency,mass,resistivity
m·a·f·q·ρ_e
em,mechanics
m·a³·f⁻⁵·q⁻²·ρ_e⁻¹
m = k₀ · a⁻³·f⁵·q²·ρ_e
null
0
2
5
12
10.5
-1
false
{"mass": "1", "acceleration": "3", "frequency": "-5", "charge": "-2", "resistivity": "-1"}
5
acceleration,current,frequency,mass,voltage
m·a·f·i·U
em,mechanics
m·a²·f⁻¹·i⁻¹·U⁻¹
m = k₀ · a⁻²·f·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "2", "frequency": "-1", "current": "-1", "voltage": "-1"}
5
acceleration,current,frequency,mass,resistance
m·a·f·i·R
em,mechanics
m·a²·f⁻¹·i⁻²·R⁻¹
m = k₀ · a⁻²·f·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-1", "current": "-2", "resistance": "-1"}
5
acceleration,current,frequency,inductance,mass
m·a·f·i·L_e
em,mechanics
m·a²·f⁻²·i⁻²·L_e⁻¹
m = k₀ · a⁻²·f²·i²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "current": "-2", "inductance": "-1"}
5
acceleration,current,efield,frequency,mass
m·a·f·i·E_f
em,mechanics
m·a·f·i⁻¹·E_f⁻¹
m = k₀ · a⁻¹·f⁻¹·i·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "frequency": "1", "current": "-1", "efield": "-1"}
5
acceleration,current,frequency,mag_flux,mass
m·a·f·i·Φ
em,mechanics
m·a²·f⁻²·i⁻¹·Φ⁻¹
m = k₀ · a⁻²·f²·i·Φ
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "current": "-1", "mag_flux": "-1"}
5
acceleration,current,frequency,mass,permittivity
m·a·f·i·ε
em,mechanics
m·a³·f⁻²·i⁻²·ε
m = k₀ · a⁻³·f²·i²·ε⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "3", "frequency": "-2", "current": "-2", "permittivity": "1"}
5
acceleration,conductivity,current,frequency,mass
m·a·f·i·σ
em,mechanics
m·a³·f⁻³·i⁻²·σ
m = k₀ · a⁻³·f³·i²·σ⁻¹
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "3", "frequency": "-3", "current": "-2", "conductivity": "1"}
5
acceleration,current,frequency,mass,resistivity
m·a·f·i·ρ_e
em,mechanics
m·a³·f⁻³·i⁻²·ρ_e⁻¹
m = k₀ · a⁻³·f³·i²·ρ_e
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "3", "frequency": "-3", "current": "-2", "resistivity": "-1"}
5
acceleration,frequency,mass,resistance,voltage
m·a·f·U·R
em,mechanics
m·a²·f⁻¹·U⁻²·R
m = k₀ · a⁻²·f·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "frequency": "-1", "voltage": "-2", "resistance": "1"}
5
acceleration,capacitance,frequency,mass,voltage
m·a·f·U·C_e
em,mechanics
m·a²·f⁻²·U⁻²·C_e⁻¹
m = k₀ · a⁻²·f²·U²·C_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "acceleration": "2", "frequency": "-2", "voltage": "-2", "capacitance": "-1"}
5
acceleration,frequency,mass,permeability,voltage
m·a·f·U·μ₀
em,mechanics
m·a³·f⁻²·U⁻²·μ₀
m = k₀ · a⁻³·f²·U²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "3", "frequency": "-2", "voltage": "-2", "permeability": "1"}
5
acceleration,conductivity,frequency,mass,voltage
m·a·f·U·σ
em,mechanics
m·a·f·U⁻²·σ⁻¹
m = k₀ · a⁻¹·f⁻¹·U²·σ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "frequency": "1", "voltage": "-2", "conductivity": "-1"}
5
acceleration,frequency,mass,resistivity,voltage
m·a·f·U·ρ_e
em,mechanics
m·a·f·U⁻²·ρ_e
m = k₀ · a⁻¹·f⁻¹·U²·ρ_e⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "frequency": "1", "voltage": "-2", "resistivity": "1"}
5
acceleration,elem_charge,frequency,mass,voltage
m·a·f·U·e
constants,em,mechanics
m·a²·f⁻²·U⁻¹·e⁻¹
m = k₀ · a⁻²·f²·U·e
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "acceleration": "2", "frequency": "-2", "voltage": "-1", "elem_charge": "-1"}
5
acceleration,bfield,frequency,mass,resistance
m·a·f·R·B
em,mechanics
m·a⁻²·f⁵·R·B⁻²
m = k₀ · a²·f⁻⁵·R⁻¹·B²
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "acceleration": "-2", "frequency": "5", "resistance": "1", "bfield": "-2"}
5
acceleration,frequency,mag_flux,mass,resistance
m·a·f·R·Φ
em,mechanics
m·a²·f⁻³·R·Φ⁻²
m = k₀ · a⁻²·f³·R⁻¹·Φ²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "2", "frequency": "-3", "resistance": "1", "mag_flux": "-2"}
5
acceleration,elem_charge,frequency,mass,resistance
m·a·f·R·e
constants,em,mechanics
m·a²·f⁻³·R⁻¹·e⁻²
m = k₀ · a⁻²·f³·R·e²
null
1
3
3
9
8
1
false
{"mass": "1", "acceleration": "2", "frequency": "-3", "resistance": "-1", "elem_charge": "-2"}
5
acceleration,bfield,capacitance,frequency,mass
m·a·f·C_e·B
em,mechanics
m·a⁻²·f⁴·C_e⁻¹·B⁻²
m = k₀ · a²·f⁻⁴·C_e·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "-2", "frequency": "4", "capacitance": "-1", "bfield": "-2"}
5
acceleration,capacitance,frequency,mag_flux,mass
m·a·f·C_e·Φ
em,mechanics
m·a²·f⁻⁴·C_e⁻¹·Φ⁻²
m = k₀ · a⁻²·f⁴·C_e·Φ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "acceleration": "2", "frequency": "-4", "capacitance": "-1", "mag_flux": "-2"}