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
expansion,frequency,mass,thermal_cond,velocity
m·v·f·κ·β
mechanics,thermo
m·v·f²·κ⁻¹·β
m = k₀ · v⁻¹·f⁻²·κ·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "2", "thermal_cond": "-1", "expansion": "1"}
6
frequency,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·f·κ·M_m·R
chemistry,mechanics,thermo
m·v⁻¹·f²·κ⁻¹·M_m⁻¹·R
m = k₀ · v·f⁻²·κ·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "-1", "frequency": "2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
frequency,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·f·κ·E_m·R
chemistry,mechanics,thermo
m·v·f²·κ⁻¹·E_m⁻¹·R
m = k₀ · v⁻¹·f⁻²·κ·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "1", "frequency": "2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
concentration,expansion,frequency,gas_constant,mass,velocity
m·v·f·β·c_n·R
chemistry,mechanics,thermo
m·v⁻¹·f³·β·c_n⁻¹·R⁻¹
m = k₀ · v·f⁻³·β⁻¹·c_n·R
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "-1", "frequency": "3", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,frequency,gas_constant,mass,velocity
m·v·f·β·R·z
chemistry,mechanics,thermo
m·v²·f·β·R⁻¹·z⁻¹
m = k₀ · v⁻²·f⁻¹·β⁻¹·R·z
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "frequency": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
charge,frequency,mass,resistance,velocity
m·v·f·q·R
em,mechanics
m·v²·f⁻¹·q⁻²·R⁻¹
m = k₀ · v⁻²·f·q²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "frequency": "-1", "charge": "-2", "resistance": "-1"}
5
charge,frequency,inductance,mass,velocity
m·v·f·q·L_e
em,mechanics
m·v²·f⁻²·q⁻²·L_e⁻¹
m = k₀ · v⁻²·f²·q²·L_e
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "frequency": "-2", "charge": "-2", "inductance": "-1"}
5
charge,efield,frequency,mass,velocity
m·v·f·q·E_f
em,mechanics
m·v·f·q⁻¹·E_f⁻¹
m = k₀ · v⁻¹·f⁻¹·q·E_f
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "frequency": "1", "charge": "-1", "efield": "-1"}
5
charge,frequency,mag_flux,mass,velocity
m·v·f·q·Φ
em,mechanics
m·v²·f⁻¹·q⁻¹·Φ⁻¹
m = k₀ · v⁻²·f·q·Φ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "frequency": "-1", "charge": "-1", "mag_flux": "-1"}
5
charge,frequency,mass,permittivity,velocity
m·v·f·q·ε
em,mechanics
m·v³·f⁻¹·q⁻²·ε
m = k₀ · v⁻³·f·q²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "frequency": "-1", "charge": "-2", "permittivity": "1"}
5
charge,frequency,mass,permeability,velocity
m·v·f·q·μ₀
em,mechanics
m·v·f⁻¹·q⁻²·μ₀⁻¹
m = k₀ · v⁻¹·f·q²·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "-1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,frequency,mass,velocity
m·v·f·q·σ
em,mechanics
m·v³·f⁻²·q⁻²·σ
m = k₀ · v⁻³·f²·q²·σ⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "frequency": "-2", "charge": "-2", "conductivity": "1"}
5
charge,frequency,mass,resistivity,velocity
m·v·f·q·ρ_e
em,mechanics
m·v³·f⁻²·q⁻²·ρ_e⁻¹
m = k₀ · v⁻³·f²·q²·ρ_e
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "frequency": "-2", "charge": "-2", "resistivity": "-1"}
5
current,frequency,mass,velocity,voltage
m·v·f·i·U
em,mechanics
m·v²·f·i⁻¹·U⁻¹
m = k₀ · v⁻²·f⁻¹·i·U
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "frequency": "1", "current": "-1", "voltage": "-1"}
5
current,frequency,mass,resistance,velocity
m·v·f·i·R
em,mechanics
m·v²·f·i⁻²·R⁻¹
m = k₀ · v⁻²·f⁻¹·i²·R
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "frequency": "1", "current": "-2", "resistance": "-1"}
5
capacitance,current,frequency,mass,velocity
m·v·f·i·C_e
em,mechanics
m·v²·f²·i⁻²·C_e
m = k₀ · v⁻²·f⁻²·i²·C_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "frequency": "2", "current": "-2", "capacitance": "1"}
5
current,efield,frequency,mass,velocity
m·v·f·i·E_f
em,mechanics
m·v·f²·i⁻¹·E_f⁻¹
m = k₀ · v⁻¹·f⁻²·i·E_f
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "2", "current": "-1", "efield": "-1"}
5
current,frequency,mass,permittivity,velocity
m·v·f·i·ε
em,mechanics
m·v³·f·i⁻²·ε
m = k₀ · v⁻³·f⁻¹·i²·ε⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "frequency": "1", "current": "-2", "permittivity": "1"}
5
current,frequency,mass,permeability,velocity
m·v·f·i·μ₀
em,mechanics
m·v·f·i⁻²·μ₀⁻¹
m = k₀ · v⁻¹·f⁻¹·i²·μ₀
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "1", "current": "-2", "permeability": "-1"}
5
frequency,mass,resistance,velocity,voltage
m·v·f·U·R
em,mechanics
m·v²·f·U⁻²·R
m = k₀ · v⁻²·f⁻¹·U²·R⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "frequency": "1", "voltage": "-2", "resistance": "1"}
5
frequency,inductance,mass,velocity,voltage
m·v·f·U·L_e
em,mechanics
m·v²·f²·U⁻²·L_e
m = k₀ · v⁻²·f⁻²·U²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "frequency": "2", "voltage": "-2", "inductance": "1"}
5
frequency,mass,permittivity,velocity,voltage
m·v·f·U·ε
em,mechanics
m·v·f·U⁻²·ε⁻¹
m = k₀ · v⁻¹·f⁻¹·U²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "1", "voltage": "-2", "permittivity": "-1"}
5
frequency,mass,permeability,velocity,voltage
m·v·f·U·μ₀
em,mechanics
m·v³·f·U⁻²·μ₀
m = k₀ · v⁻³·f⁻¹·U²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "frequency": "1", "voltage": "-2", "permeability": "1"}
5
conductivity,frequency,mass,velocity,voltage
m·v·f·U·σ
em,mechanics
m·v·f²·U⁻²·σ⁻¹
m = k₀ · v⁻¹·f⁻²·U²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "frequency": "2", "voltage": "-2", "conductivity": "-1"}
5
frequency,mass,resistivity,velocity,voltage
m·v·f·U·ρ_e
em,mechanics
m·v·f²·U⁻²·ρ_e
m = k₀ · v⁻¹·f⁻²·U²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "frequency": "2", "voltage": "-2", "resistivity": "1"}
5
bfield,frequency,mass,resistance,velocity
m·v·f·R·B
em,mechanics
m·v⁻²·f³·R·B⁻²
m = k₀ · v²·f⁻³·R⁻¹·B²
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-2", "frequency": "3", "resistance": "1", "bfield": "-2"}
5
frequency,mag_flux,mass,resistance,velocity
m·v·f·R·Φ
em,mechanics
m·v²·f⁻¹·R·Φ⁻²
m = k₀ · v⁻²·f·R⁻¹·Φ²
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "frequency": "-1", "resistance": "1", "mag_flux": "-2"}
5
elem_charge,frequency,mass,resistance,velocity
m·v·f·R·e
constants,em,mechanics
m·v²·f⁻¹·R⁻¹·e⁻²
m = k₀ · v⁻²·f·R·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "2", "frequency": "-1", "resistance": "-1", "elem_charge": "-2"}
5
bfield,capacitance,frequency,mass,velocity
m·v·f·C_e·B
em,mechanics
m·v⁻²·f²·C_e⁻¹·B⁻²
m = k₀ · v²·f⁻²·C_e·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "frequency": "2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,frequency,mag_flux,mass,velocity
m·v·f·C_e·Φ
em,mechanics
m·v²·f⁻²·C_e⁻¹·Φ⁻²
m = k₀ · v⁻²·f²·C_e·Φ²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "frequency": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
bfield,frequency,inductance,mass,velocity
m·v·f·L_e·B
em,mechanics
m·v⁻²·f⁴·L_e·B⁻²
m = k₀ · v²·f⁻⁴·L_e⁻¹·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "-2", "frequency": "4", "inductance": "1", "bfield": "-2"}
5
elem_charge,frequency,inductance,mass,velocity
m·v·f·L_e·e
constants,em,mechanics
m·v²·f⁻²·L_e⁻¹·e⁻²
m = k₀ · v⁻²·f²·L_e·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "1", "velocity": "2", "frequency": "-2", "inductance": "-1", "elem_charge": "-2"}
5
efield,frequency,mass,permittivity,velocity
m·v·f·E_f·ε
em,mechanics
m·v⁻¹·f³·E_f⁻²·ε⁻¹
m = k₀ · v·f⁻³·E_f²·ε
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "-1", "frequency": "3", "efield": "-2", "permittivity": "-1"}
5
efield,frequency,mass,permeability,velocity
m·v·f·E_f·μ₀
em,mechanics
m·v·f³·E_f⁻²·μ₀
m = k₀ · v⁻¹·f⁻³·E_f²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "1", "frequency": "3", "efield": "-2", "permeability": "1"}
5
conductivity,efield,frequency,mass,velocity
m·v·f·E_f·σ
em,mechanics
m·v⁻¹·f⁴·E_f⁻²·σ⁻¹
m = k₀ · v·f⁻⁴·E_f²·σ
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "-1", "frequency": "4", "efield": "-2", "conductivity": "-1"}
5
efield,frequency,mass,resistivity,velocity
m·v·f·E_f·ρ_e
em,mechanics
m·v⁻¹·f⁴·E_f⁻²·ρ_e
m = k₀ · v·f⁻⁴·E_f²·ρ_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "-1", "frequency": "4", "efield": "-2", "resistivity": "1"}
5
efield,elem_charge,frequency,mass,velocity
m·v·f·E_f·e
constants,em,mechanics
m·v·f·E_f⁻¹·e⁻¹
m = k₀ · v⁻¹·f⁻¹·E_f·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "frequency": "1", "efield": "-1", "elem_charge": "-1"}
5
bfield,frequency,mass,permittivity,velocity
m·v·f·B·ε
em,mechanics
m·v⁻³·f³·B⁻²·ε⁻¹
m = k₀ · v³·f⁻³·B²·ε
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "-3", "frequency": "3", "bfield": "-2", "permittivity": "-1"}
5
bfield,frequency,mass,permeability,velocity
m·v·f·B·μ₀
em,mechanics
m·v⁻¹·f³·B⁻²·μ₀
m = k₀ · v·f⁻³·B²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "-1", "frequency": "3", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,frequency,mass,velocity
m·v·f·B·σ
em,mechanics
m·v⁻³·f⁴·B⁻²·σ⁻¹
m = k₀ · v³·f⁻⁴·B²·σ
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "-3", "frequency": "4", "bfield": "-2", "conductivity": "-1"}
5
bfield,frequency,mass,resistivity,velocity
m·v·f·B·ρ_e
em,mechanics
m·v⁻³·f⁴·B⁻²·ρ_e
m = k₀ · v³·f⁻⁴·B²·ρ_e⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "-3", "frequency": "4", "bfield": "-2", "resistivity": "1"}
5
frequency,mag_flux,mass,permittivity,velocity
m·v·f·Φ·ε
em,mechanics
m·v·f⁻¹·Φ⁻²·ε⁻¹
m = k₀ · v⁻¹·f·Φ²·ε
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "frequency": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
frequency,mag_flux,mass,permeability,velocity
m·v·f·Φ·μ₀
em,mechanics
m·v³·f⁻¹·Φ⁻²·μ₀
m = k₀ · v⁻³·f·Φ²·μ₀⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "frequency": "-1", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,frequency,mag_flux,mass,velocity
m·v·f·Φ·e
constants,em,mechanics
m·v²·f⁻¹·Φ⁻¹·e⁻¹
m = k₀ · v⁻²·f·Φ·e
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "2", "frequency": "-1", "mag_flux": "-1", "elem_charge": "-1"}
5
elem_charge,frequency,mass,permittivity,velocity
m·v·f·ε·e
constants,em,mechanics
m·v³·f⁻¹·ε·e⁻²
m = k₀ · v⁻³·f·ε⁻¹·e²
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "velocity": "3", "frequency": "-1", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,frequency,mass,permeability,velocity
m·v·f·μ₀·e
constants,em,mechanics
m·v·f⁻¹·μ₀⁻¹·e⁻²
m = k₀ · v⁻¹·f·μ₀·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "frequency": "-1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,frequency,mass,velocity
m·v·f·σ·e
constants,em,mechanics
m·v³·f⁻²·σ·e⁻²
m = k₀ · v⁻³·f²·σ⁻¹·e²
null
1
3
3
9
8
1
false
{"mass": "1", "velocity": "3", "frequency": "-2", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,frequency,mass,resistivity,velocity
m·v·f·ρ_e·e
constants,em,mechanics
m·v³·f⁻²·ρ_e⁻¹·e⁻²
m = k₀ · v⁻³·f²·ρ_e·e²
null
1
3
3
9
8
1
false
{"mass": "1", "velocity": "3", "frequency": "-2", "resistivity": "-1", "elem_charge": "-2"}
5
concentration,frequency,mass,molar_mass,velocity
m·v·f·M_m·c_n
chemistry,mechanics
m·v⁻³·f³·M_m⁻¹·c_n⁻¹
m = k₀ · v³·f⁻³·M_m·c_n
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-3", "frequency": "3", "molar_mass": "-1", "concentration": "-1"}
5
concentration,frequency,mass,molar_energy,velocity
m·v·f·c_n·E_m
chemistry,mechanics
m·v⁻¹·f³·c_n⁻¹·E_m⁻¹
m = k₀ · v·f⁻³·c_n·E_m
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "-1", "frequency": "3", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,frequency,mass,molar_energy,velocity
m·v·f·E_m·z
chemistry,mechanics
m·v²·f·E_m⁻¹·z⁻¹
m = k₀ · v⁻²·f⁻¹·E_m·z
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "frequency": "1", "molar_energy": "-1", "cat_activity": "-1"}
4
frequency,grav_const,mass,velocity
m·v·f·G
constants,mechanics
m·v⁻³·f·G
m = k₀ · v³·f⁻¹·G⁻¹
null
1
2
3
6
5
4.5
true
{"mass": "1", "velocity": "-3", "frequency": "1", "grav_const": "1"}
4
frequency,mass,planck,velocity
m·v·f·h
constants,mechanics
m·v²·f⁻¹·h⁻¹
m = k₀ · v⁻²·f·h
null
1
2
2
5
3.8
5.7
true
{"mass": "1", "velocity": "2", "frequency": "-1", "planck": "-1"}
4
area,mass,stiffness,velocity
m·v·k·A
mechanics
m·v²·k⁻¹·A⁻¹
m = k₀ · v⁻²·k·A
null
0
1
2
5
3.2
6.8
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "area": "-1"}
4
mass,stiffness,velocity,volume
m·v·k·V
mechanics
m³·v⁶·k⁻³·V⁻²
V = k₀ · m³ᐟ²·v³·k⁻³ᐟ²
null
0
1
6
14
11.5
-1.5
false
{"mass": "3", "velocity": "6", "stiffness": "-3", "volume": "-2"}
4
flowrate,mass,stiffness,velocity
m·v·k·Q
mechanics
m·v³·k⁻¹·Q⁻¹
m = k₀ · v⁻³·k·Q
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "3", "stiffness": "-1", "flowrate": "-1"}
6
concentration,gas_constant,mass,stiffness,temperature,velocity
m·v·k·Θ·c_n·R
chemistry,mechanics,thermo
m·v²·k⁻³·Θ²·c_n²·R²
m = k₀ · v⁻²·k³·Θ⁻²·c_n⁻²·R⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "2", "stiffness": "-3", "temperature": "2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,stiffness,temperature,velocity
m·v·k·Θ·R·z
chemistry,mechanics,thermo
m·v⁴·k·Θ⁻²·R⁻²·z⁻²
m = k₀ · v⁻⁴·k⁻¹·Θ²·R²·z²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "stiffness": "1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
entropy,mass,stiffness,thermal_cond,velocity
m·v·k·S_e·κ
mechanics,thermo
m·v·k⁻¹·S_e⁻¹·κ
m = k₀ · v⁻¹·k·S_e·κ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "stiffness": "-1", "entropy": "-1", "thermal_cond": "1"}
6
concentration,entropy,gas_constant,mass,stiffness,velocity
m·v·k·S_e·c_n·R
chemistry,mechanics,thermo
m³·v⁶·k⁻³·S_e⁻²·c_n²·R²
S_e = k₀ · m³ᐟ²·v³·k⁻³ᐟ²·c_n·R
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "velocity": "6", "stiffness": "-3", "entropy": "-2", "concentration": "2", "gas_constant": "2"}
5
heat_capacity,mass,stiffness,thermal_cond,velocity
m·v·k·C·κ
mechanics,thermo
m·v·k⁻¹·C⁻¹·κ
m = k₀ · v⁻¹·k·C·κ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "stiffness": "-1", "heat_capacity": "-1", "thermal_cond": "1"}
6
concentration,gas_constant,heat_capacity,mass,stiffness,velocity
m·v·k·C·c_n·R
chemistry,mechanics,thermo
m³·v⁶·k⁻³·C⁻²·c_n²·R²
C = k₀ · m³ᐟ²·v³·k⁻³ᐟ²·c_n·R
null
0
3
6
18
16.1
-7.1
false
{"mass": "3", "velocity": "6", "stiffness": "-3", "heat_capacity": "-2", "concentration": "2", "gas_constant": "2"}
6
concentration,gas_constant,mass,specific_heat,stiffness,velocity
m·v·k·c·c_n·R
chemistry,mechanics,thermo
m·v⁶·k⁻³·c⁻²·c_n²·R²
m = k₀ · v⁻⁶·k³·c²·c_n⁻²·R⁻²
null
0
3
6
16
14.7
-5.7
false
{"mass": "1", "velocity": "6", "stiffness": "-3", "specific_heat": "-2", "concentration": "2", "gas_constant": "2"}
6
amount,gas_constant,mass,stiffness,thermal_cond,velocity
m·v·k·κ·n·R
chemistry,mechanics,thermo
m·v·k⁻¹·κ·n⁻¹·R⁻¹
m = k₀ · v⁻¹·k·κ⁻¹·n·R
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "stiffness": "-1", "thermal_cond": "1", "amount": "-1", "gas_constant": "-1"}
6
concentration,gas_constant,mass,stiffness,thermal_cond,velocity
m·v·k·κ·c_n·R
chemistry,mechanics,thermo
m·v⁴·k⁻¹·κ⁻²·c_n²·R²
m = k₀ · v⁻⁴·k·κ²·c_n⁻²·R⁻²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "stiffness": "-1", "thermal_cond": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,gas_constant,mass,stiffness,thermal_cond,velocity
m·v·k·κ·R·z
chemistry,mechanics,thermo
m·v²·k⁻¹·κ²·R⁻²·z⁻²
m = k₀ · v⁻²·k·κ⁻²·R²·z²
null
0
3
2
10
8.5
0.5
false
{"mass": "1", "velocity": "2", "stiffness": "-1", "thermal_cond": "2", "gas_constant": "-2", "cat_activity": "-2"}
6
avogadro,gas_constant,mass,stiffness,thermal_cond,velocity
m·v·k·κ·R·N_A
chemistry,constants,mechanics,thermo
m·v·k⁻¹·κ·R⁻¹·N_A
m = k₀ · v⁻¹·k·κ⁻¹·R·N_A⁻¹
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "velocity": "1", "stiffness": "-1", "thermal_cond": "1", "gas_constant": "-1", "avogadro": "1"}
5
boltzmann,mass,stiffness,thermal_cond,velocity
m·v·k·κ·k_B
constants,mechanics,thermo
m·v·k⁻¹·κ·k_B⁻¹
m = k₀ · v⁻¹·k·κ⁻¹·k_B
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "1", "stiffness": "-1", "thermal_cond": "1", "boltzmann": "-1"}
4
mass,stiffness,thermal_diff,velocity
m·v·k·α
mechanics,thermo
m·v⁴·k⁻¹·α⁻²
m = k₀ · v⁻⁴·k·α²
null
0
2
4
8
6.9
2.6
false
{"mass": "1", "velocity": "4", "stiffness": "-1", "thermal_diff": "-2"}
6
concentration,expansion,gas_constant,mass,stiffness,velocity
m·v·k·β·c_n·R
chemistry,mechanics,thermo
m·v²·k⁻³·β⁻²·c_n²·R²
m = k₀ · v⁻²·k³·β²·c_n⁻²·R⁻²
null
0
3
3
12
10.4
-1.4
false
{"mass": "1", "velocity": "2", "stiffness": "-3", "expansion": "-2", "concentration": "2", "gas_constant": "2"}
6
cat_activity,expansion,gas_constant,mass,stiffness,velocity
m·v·k·β·R·z
chemistry,mechanics,thermo
m·v⁴·k·β²·R⁻²·z⁻²
m = k₀ · v⁻⁴·k⁻¹·β⁻²·R²·z²
null
0
3
4
12
10.9
-1.9
false
{"mass": "1", "velocity": "4", "stiffness": "1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
charge,mass,resistance,stiffness,velocity
m·v·k·q·R
em,mechanics
m³·v⁴·k⁻¹·q⁻⁴·R⁻²
k = k₀ · m³·v⁴·q⁻⁴·R⁻²
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "stiffness": "-1", "charge": "-4", "resistance": "-2"}
5
charge,inductance,mass,stiffness,velocity
m·v·k·q·L_e
em,mechanics
m²·v²·k⁻¹·q⁻²·L_e⁻¹
k = k₀ · m²·v²·q⁻²·L_e⁻¹
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "stiffness": "-1", "charge": "-2", "inductance": "-1"}
5
charge,efield,mass,stiffness,velocity
m·v·k·q·E_f
em,mechanics
m·v²·k·q⁻²·E_f⁻²
m = k₀ · v⁻²·k⁻¹·q²·E_f²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "1", "charge": "-2", "efield": "-2"}
5
charge,mag_flux,mass,stiffness,velocity
m·v·k·q·Φ
em,mechanics
m³·v⁴·k⁻¹·q⁻²·Φ⁻²
k = k₀ · m³·v⁴·q⁻²·Φ⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "4", "stiffness": "-1", "charge": "-2", "mag_flux": "-2"}
5
charge,mass,permittivity,stiffness,velocity
m·v·k·q·ε
em,mechanics
m³·v⁶·k⁻¹·q⁻⁴·ε²
k = k₀ · m³·v⁶·q⁻⁴·ε²
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "stiffness": "-1", "charge": "-4", "permittivity": "2"}
5
charge,mass,permeability,stiffness,velocity
m·v·k·q·μ₀
em,mechanics
m³·v²·k⁻¹·q⁻⁴·μ₀⁻²
k = k₀ · m³·v²·q⁻⁴·μ₀⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "3", "velocity": "2", "stiffness": "-1", "charge": "-4", "permeability": "-2"}
5
charge,conductivity,mass,stiffness,velocity
m·v·k·q·σ
em,mechanics
m²·v³·k⁻¹·q⁻²·σ
k = k₀ · m²·v³·q⁻²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "stiffness": "-1", "charge": "-2", "conductivity": "1"}
5
charge,mass,resistivity,stiffness,velocity
m·v·k·q·ρ_e
em,mechanics
m²·v³·k⁻¹·q⁻²·ρ_e⁻¹
k = k₀ · m²·v³·q⁻²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "2", "velocity": "3", "stiffness": "-1", "charge": "-2", "resistivity": "-1"}
5
current,mass,stiffness,velocity,voltage
m·v·k·i·U
em,mechanics
m·v⁴·k·i⁻²·U⁻²
m = k₀ · v⁻⁴·k⁻¹·i²·U²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "stiffness": "1", "current": "-2", "voltage": "-2"}
5
current,mass,resistance,stiffness,velocity
m·v·k·i·R
em,mechanics
m·v⁴·k·i⁻⁴·R⁻²
m = k₀ · v⁻⁴·k⁻¹·i⁴·R²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "4", "stiffness": "1", "current": "-4", "resistance": "-2"}
5
current,mass,permittivity,stiffness,velocity
m·v·k·i·ε
em,mechanics
m·v⁶·k·i⁻⁴·ε²
m = k₀ · v⁻⁶·k⁻¹·i⁴·ε⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "stiffness": "1", "current": "-4", "permittivity": "2"}
5
current,mass,permeability,stiffness,velocity
m·v·k·i·μ₀
em,mechanics
m·v²·k·i⁻⁴·μ₀⁻²
m = k₀ · v⁻²·k⁻¹·i⁴·μ₀²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "2", "stiffness": "1", "current": "-4", "permeability": "-2"}
5
mass,resistance,stiffness,velocity,voltage
m·v·k·U·R
em,mechanics
m·v⁴·k·U⁻⁴·R²
m = k₀ · v⁻⁴·k⁻¹·U⁴·R⁻²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "4", "stiffness": "1", "voltage": "-4", "resistance": "2"}
5
efield,mass,stiffness,velocity,voltage
m·v·k·U·E_f
em,mechanics
m·v²·k⁻¹·U⁻²·E_f²
m = k₀ · v⁻²·k·U²·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "voltage": "-2", "efield": "2"}
5
bfield,mass,stiffness,velocity,voltage
m·v·k·U·B
em,mechanics
m·v⁴·k⁻¹·U⁻²·B²
m = k₀ · v⁻⁴·k·U²·B⁻²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "stiffness": "-1", "voltage": "-2", "bfield": "2"}
5
mass,permittivity,stiffness,velocity,voltage
m·v·k·U·ε
em,mechanics
m·v²·k·U⁻⁴·ε⁻²
m = k₀ · v⁻²·k⁻¹·U⁴·ε²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "2", "stiffness": "1", "voltage": "-4", "permittivity": "-2"}
5
mass,permeability,stiffness,velocity,voltage
m·v·k·U·μ₀
em,mechanics
m·v⁶·k·U⁻⁴·μ₀²
m = k₀ · v⁻⁶·k⁻¹·U⁴·μ₀⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "stiffness": "1", "voltage": "-4", "permeability": "2"}
5
bfield,mass,resistance,stiffness,velocity
m·v·k·R·B
em,mechanics
m·v⁴·k⁻³·R⁻²·B⁴
m = k₀ · v⁻⁴·k³·R²·B⁻⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "1", "velocity": "4", "stiffness": "-3", "resistance": "-2", "bfield": "4"}
5
mag_flux,mass,resistance,stiffness,velocity
m·v·k·R·Φ
em,mechanics
m³·v⁴·k⁻¹·R²·Φ⁻⁴
k = k₀ · m³·v⁴·R²·Φ⁻⁴
null
0
2
4
14
11.4
-1.9
false
{"mass": "3", "velocity": "4", "stiffness": "-1", "resistance": "2", "mag_flux": "-4"}
5
conductivity,mass,resistance,stiffness,velocity
m·v·k·R·σ
em,mechanics
m·v²·k⁻¹·R²·σ²
m = k₀ · v⁻²·k·R⁻²·σ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "resistance": "2", "conductivity": "2"}
5
mass,resistance,resistivity,stiffness,velocity
m·v·k·R·ρ_e
em,mechanics
m·v²·k⁻¹·R²·ρ_e⁻²
m = k₀ · v⁻²·k·R⁻²·ρ_e²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "resistance": "2", "resistivity": "-2"}
5
elem_charge,mass,resistance,stiffness,velocity
m·v·k·R·e
constants,em,mechanics
m³·v⁴·k⁻¹·R⁻²·e⁻⁴
k = k₀ · m³·v⁴·R⁻²·e⁻⁴
null
1
3
4
14
12
-3
false
{"mass": "3", "velocity": "4", "stiffness": "-1", "resistance": "-2", "elem_charge": "-4"}
5
capacitance,mag_flux,mass,stiffness,velocity
m·v·k·C_e·Φ
em,mechanics
m²·v²·k⁻¹·C_e⁻¹·Φ⁻²
k = k₀ · m²·v²·C_e⁻¹·Φ⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "velocity": "2", "stiffness": "-1", "capacitance": "-1", "mag_flux": "-2"}
5
capacitance,mass,permittivity,stiffness,velocity
m·v·k·C_e·ε
em,mechanics
m·v²·k⁻¹·C_e⁻²·ε²
m = k₀ · v⁻²·k·C_e²·ε⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "-1", "capacitance": "-2", "permittivity": "2"}
5
capacitance,mass,permeability,stiffness,velocity
m·v·k·C_e·μ₀
em,mechanics
m·v⁻²·k⁻¹·C_e⁻²·μ₀⁻²
m = k₀ · v²·k·C_e²·μ₀²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "stiffness": "-1", "capacitance": "-2", "permeability": "-2"}
5
capacitance,conductivity,mass,stiffness,velocity
m·v·k·C_e·σ
em,mechanics
m·v·k⁻¹·C_e⁻¹·σ
m = k₀ · v⁻¹·k·C_e·σ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "stiffness": "-1", "capacitance": "-1", "conductivity": "1"}
5
capacitance,mass,resistivity,stiffness,velocity
m·v·k·C_e·ρ_e
em,mechanics
m·v·k⁻¹·C_e⁻¹·ρ_e⁻¹
m = k₀ · v⁻¹·k·C_e·ρ_e
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "stiffness": "-1", "capacitance": "-1", "resistivity": "-1"}
5
bfield,inductance,mass,stiffness,velocity
m·v·k·L_e·B
em,mechanics
m·v²·k⁻²·L_e⁻¹·B²
m = k₀ · v⁻²·k²·L_e·B⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "stiffness": "-2", "inductance": "-1", "bfield": "2"}
5
inductance,mass,permittivity,stiffness,velocity
m·v·k·L_e·ε
em,mechanics
m·v⁻²·k⁻¹·L_e⁻²·ε⁻²
m = k₀ · v²·k·L_e²·ε²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "stiffness": "-1", "inductance": "-2", "permittivity": "-2"}