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,bfield,conductivity,mass,velocity
m·v·a·B·σ
em,mechanics
m·v⁻⁷·a⁴·B⁻²·σ⁻¹
m = k₀ · v⁷·a⁻⁴·B²·σ
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "velocity": "-7", "acceleration": "4", "bfield": "-2", "conductivity": "-1"}
5
acceleration,bfield,mass,resistivity,velocity
m·v·a·B·ρ_e
em,mechanics
m·v⁻⁷·a⁴·B⁻²·ρ_e
m = k₀ · v⁷·a⁻⁴·B²·ρ_e⁻¹
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "velocity": "-7", "acceleration": "4", "bfield": "-2", "resistivity": "1"}
5
acceleration,bfield,elem_charge,mass,velocity
m·v·a·B·e
constants,em,mechanics
m·v⁻¹·a·B⁻¹·e⁻¹
m = k₀ · v·a⁻¹·B·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "-1", "acceleration": "1", "bfield": "-1", "elem_charge": "-1"}
5
acceleration,mag_flux,mass,permittivity,velocity
m·v·a·Φ·ε
em,mechanics
m·v²·a⁻¹·Φ⁻²·ε⁻¹
m = k₀ · v⁻²·a·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "acceleration": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
acceleration,mag_flux,mass,permeability,velocity
m·v·a·Φ·μ₀
em,mechanics
m·v⁴·a⁻¹·Φ⁻²·μ₀
m = k₀ · v⁻⁴·a·Φ²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "acceleration": "-1", "mag_flux": "-2", "permeability": "1"}
5
acceleration,elem_charge,mag_flux,mass,velocity
m·v·a·Φ·e
constants,em,mechanics
m·v³·a⁻¹·Φ⁻¹·e⁻¹
m = k₀ · v⁻³·a·Φ·e
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "3", "acceleration": "-1", "mag_flux": "-1", "elem_charge": "-1"}
5
acceleration,elem_charge,mass,permittivity,velocity
m·v·a·ε·e
constants,em,mechanics
m·v⁴·a⁻¹·ε·e⁻²
m = k₀ · v⁻⁴·a·ε⁻¹·e²
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "velocity": "4", "acceleration": "-1", "permittivity": "1", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,permeability,velocity
m·v·a·μ₀·e
constants,em,mechanics
m·v²·a⁻¹·μ₀⁻¹·e⁻²
m = k₀ · v⁻²·a·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "2", "acceleration": "-1", "permeability": "-1", "elem_charge": "-2"}
5
acceleration,conductivity,elem_charge,mass,velocity
m·v·a·σ·e
constants,em,mechanics
m·v⁵·a⁻²·σ·e⁻²
m = k₀ · v⁻⁵·a²·σ⁻¹·e²
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "acceleration": "-2", "conductivity": "1", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,resistivity,velocity
m·v·a·ρ_e·e
constants,em,mechanics
m·v⁵·a⁻²·ρ_e⁻¹·e⁻²
m = k₀ · v⁻⁵·a²·ρ_e·e²
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "acceleration": "-2", "resistivity": "-1", "elem_charge": "-2"}
5
acceleration,concentration,mass,molar_mass,velocity
m·v·a·M_m·c_n
chemistry,mechanics
m·v⁻⁶·a³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁶·a⁻³·M_m·c_n
null
0
2
6
12
11
-1.5
false
{"mass": "1", "velocity": "-6", "acceleration": "3", "molar_mass": "-1", "concentration": "-1"}
5
acceleration,cat_activity,mass,molar_mass,velocity
m·v·a·M_m·z
chemistry,mechanics
m·v⁻¹·a·M_m⁻¹·z⁻¹
m = k₀ · v·a⁻¹·M_m·z
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "-1", "acceleration": "1", "molar_mass": "-1", "cat_activity": "-1"}
5
acceleration,concentration,mass,molar_energy,velocity
m·v·a·c_n·E_m
chemistry,mechanics
m·v⁻⁴·a³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁴·a⁻³·c_n·E_m
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "-4", "acceleration": "3", "concentration": "-1", "molar_energy": "-1"}
5
acceleration,cat_activity,mass,molar_energy,velocity
m·v·a·E_m·z
chemistry,mechanics
m·v·a·E_m⁻¹·z⁻¹
m = k₀ · v⁻¹·a⁻¹·E_m·z
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "acceleration": "1", "molar_energy": "-1", "cat_activity": "-1"}
4
acceleration,grav_const,mass,velocity
m·v·a·G
constants,mechanics
m·v⁻⁴·a·G
m = k₀ · v⁴·a⁻¹·G⁻¹
null
1
2
4
7
6.2
3.3
false
{"mass": "1", "velocity": "-4", "acceleration": "1", "grav_const": "1"}
4
acceleration,mass,planck,velocity
m·v·a·h
constants,mechanics
m·v³·a⁻¹·h⁻¹
m = k₀ · v⁻³·a·h
null
1
2
3
6
5
4.5
true
{"mass": "1", "velocity": "3", "acceleration": "-1", "planck": "-1"}
4
gravity,mass,power,velocity
m·v·g·P
mechanics
m·v·g·P⁻¹
m = k₀ · v⁻¹·g⁻¹·P
null
0
1
1
4
2
8
true
{"mass": "1", "velocity": "1", "gravity": "1", "power": "-1"}
4
ang_momentum,gravity,mass,velocity
m·v·g·Lₐ
mechanics
m·v³·g⁻¹·Lₐ⁻¹
m = k₀ · v⁻³·g·Lₐ
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "3", "gravity": "-1", "ang_momentum": "-1"}
4
action,gravity,mass,velocity
m·v·g·S
mechanics
m·v³·g⁻¹·S⁻¹
m = k₀ · v⁻³·g·S
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "3", "gravity": "-1", "action": "-1"}
4
gravity,inertia,mass,velocity
m·v·g·J
mechanics
m·v⁴·g⁻²·J⁻¹
m = k₀ · v⁻⁴·g²·J
null
0
1
4
8
6.3
3.7
false
{"mass": "1", "velocity": "4", "gravity": "-2", "inertia": "-1"}
4
gravity,mass,pressure,velocity
m·v·g·P_p
mechanics
m·v⁻⁴·g³·P_p⁻¹
m = k₀ · v⁴·g⁻³·P_p
null
0
1
4
9
7
3
false
{"mass": "1", "velocity": "-4", "gravity": "3", "pressure": "-1"}
4
density,gravity,mass,velocity
m·v·g·ρ
mechanics
m·v⁻⁶·g³·ρ⁻¹
m = k₀ · v⁶·g⁻³·ρ
null
0
1
6
11
9.4
0.6
false
{"mass": "1", "velocity": "-6", "gravity": "3", "density": "-1"}
4
gravity,mass,velocity,viscosity
m·v·g·μ
mechanics
m·v⁻³·g²·μ⁻¹
m = k₀ · v³·g⁻²·μ
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "velocity": "-3", "gravity": "2", "viscosity": "-1"}
4
gravity,mass,stiffness,velocity
m·v·g·k
mechanics
m·v⁻²·g²·k⁻¹
m = k₀ · v²·g⁻²·k
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "-2", "gravity": "2", "stiffness": "-1"}
4
gravity,mass,surf_tension,velocity
m·v·g·γ
mechanics
m·v⁻²·g²·γ⁻¹
m = k₀ · v²·g⁻²·γ
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "-2", "gravity": "2", "surf_tension": "-1"}
5
gravity,mass,temperature,thermal_cond,velocity
m·v·g·Θ·κ
mechanics,thermo
m·v⁻¹·g²·Θ⁻¹·κ⁻¹
m = k₀ · v·g⁻²·Θ·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "gravity": "2", "temperature": "-1", "thermal_cond": "-1"}
6
concentration,gas_constant,gravity,mass,temperature,velocity
m·v·g·Θ·c_n·R
chemistry,mechanics,thermo
m·v⁻⁴·g³·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · v⁴·g⁻³·Θ·c_n·R
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "velocity": "-4", "gravity": "3", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,gravity,mass,temperature,velocity
m·v·g·Θ·R·z
chemistry,mechanics,thermo
m·v·g·Θ⁻¹·R⁻¹·z⁻¹
m = k₀ · v⁻¹·g⁻¹·Θ·R·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "gravity": "1", "temperature": "-1", "gas_constant": "-1", "cat_activity": "-1"}
5
gravity,mass,specific_heat,thermal_cond,velocity
m·v·g·c·κ
mechanics,thermo
m·v⁻³·g²·c·κ⁻¹
m = k₀ · v³·g⁻²·c⁻¹·κ
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "-3", "gravity": "2", "specific_heat": "1", "thermal_cond": "-1"}
6
concentration,gas_constant,gravity,mass,specific_heat,velocity
m·v·g·c·c_n·R
chemistry,mechanics,thermo
m·v⁻⁶·g³·c·c_n⁻¹·R⁻¹
m = k₀ · v⁶·g⁻³·c⁻¹·c_n·R
null
0
3
6
13
12.6
-3.6
false
{"mass": "1", "velocity": "-6", "gravity": "3", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,gravity,mass,specific_heat,velocity
m·v·g·c·R·z
chemistry,mechanics,thermo
m·v⁻¹·g·c·R⁻¹·z⁻¹
m = k₀ · v·g⁻¹·c⁻¹·R·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "-1", "gravity": "1", "specific_heat": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
expansion,gravity,mass,thermal_cond,velocity
m·v·g·κ·β
mechanics,thermo
m·v⁻¹·g²·κ⁻¹·β
m = k₀ · v·g⁻²·κ·β⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "gravity": "2", "thermal_cond": "-1", "expansion": "1"}
6
gas_constant,gravity,mass,molar_mass,thermal_cond,velocity
m·v·g·κ·M_m·R
chemistry,mechanics,thermo
m·v⁻³·g²·κ⁻¹·M_m⁻¹·R
m = k₀ · v³·g⁻²·κ·M_m·R⁻¹
null
0
3
3
9
8.3
0.7
false
{"mass": "1", "velocity": "-3", "gravity": "2", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
gas_constant,gravity,mass,molar_energy,thermal_cond,velocity
m·v·g·κ·E_m·R
chemistry,mechanics,thermo
m·v⁻¹·g²·κ⁻¹·E_m⁻¹·R
m = k₀ · v·g⁻²·κ·E_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "-1", "gravity": "2", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
concentration,expansion,gas_constant,gravity,mass,velocity
m·v·g·β·c_n·R
chemistry,mechanics,thermo
m·v⁻⁴·g³·β·c_n⁻¹·R⁻¹
m = k₀ · v⁴·g⁻³·β⁻¹·c_n·R
null
0
3
4
11
10.2
-1.2
false
{"mass": "1", "velocity": "-4", "gravity": "3", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,gravity,mass,velocity
m·v·g·β·R·z
chemistry,mechanics,thermo
m·v·g·β·R⁻¹·z⁻¹
m = k₀ · v⁻¹·g⁻¹·β⁻¹·R·z
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "gravity": "1", "expansion": "1", "gas_constant": "-1", "cat_activity": "-1"}
5
charge,gravity,mass,resistance,velocity
m·v·g·q·R
em,mechanics
m·v³·g⁻¹·q⁻²·R⁻¹
m = k₀ · v⁻³·g·q²·R
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "gravity": "-1", "charge": "-2", "resistance": "-1"}
5
charge,gravity,inductance,mass,velocity
m·v·g·q·L_e
em,mechanics
m·v⁴·g⁻²·q⁻²·L_e⁻¹
m = k₀ · v⁻⁴·g²·q²·L_e
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "gravity": "-2", "charge": "-2", "inductance": "-1"}
5
bfield,charge,gravity,mass,velocity
m·v·g·q·B
em,mechanics
m·v⁻¹·g·q⁻¹·B⁻¹
m = k₀ · v·g⁻¹·q·B
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "-1", "gravity": "1", "charge": "-1", "bfield": "-1"}
5
charge,gravity,mag_flux,mass,velocity
m·v·g·q·Φ
em,mechanics
m·v³·g⁻¹·q⁻¹·Φ⁻¹
m = k₀ · v⁻³·g·q·Φ
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "gravity": "-1", "charge": "-1", "mag_flux": "-1"}
5
charge,gravity,mass,permittivity,velocity
m·v·g·q·ε
em,mechanics
m·v⁴·g⁻¹·q⁻²·ε
m = k₀ · v⁻⁴·g·q²·ε⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "gravity": "-1", "charge": "-2", "permittivity": "1"}
5
charge,gravity,mass,permeability,velocity
m·v·g·q·μ₀
em,mechanics
m·v²·g⁻¹·q⁻²·μ₀⁻¹
m = k₀ · v⁻²·g·q²·μ₀
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "gravity": "-1", "charge": "-2", "permeability": "-1"}
5
charge,conductivity,gravity,mass,velocity
m·v·g·q·σ
em,mechanics
m·v⁵·g⁻²·q⁻²·σ
m = k₀ · v⁻⁵·g²·q²·σ⁻¹
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "gravity": "-2", "charge": "-2", "conductivity": "1"}
5
charge,gravity,mass,resistivity,velocity
m·v·g·q·ρ_e
em,mechanics
m·v⁵·g⁻²·q⁻²·ρ_e⁻¹
m = k₀ · v⁻⁵·g²·q²·ρ_e
null
0
2
5
11
9.8
-0.3
false
{"mass": "1", "velocity": "5", "gravity": "-2", "charge": "-2", "resistivity": "-1"}
5
current,gravity,mass,velocity,voltage
m·v·g·i·U
em,mechanics
m·v·g·i⁻¹·U⁻¹
m = k₀ · v⁻¹·g⁻¹·i·U
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "gravity": "1", "current": "-1", "voltage": "-1"}
5
current,gravity,mass,resistance,velocity
m·v·g·i·R
em,mechanics
m·v·g·i⁻²·R⁻¹
m = k₀ · v⁻¹·g⁻¹·i²·R
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "gravity": "1", "current": "-2", "resistance": "-1"}
5
current,efield,gravity,mass,velocity
m·v·g·i·E_f
em,mechanics
m·v⁻¹·g²·i⁻¹·E_f⁻¹
m = k₀ · v·g⁻²·i·E_f
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "-1", "gravity": "2", "current": "-1", "efield": "-1"}
5
bfield,current,gravity,mass,velocity
m·v·g·i·B
em,mechanics
m·v⁻²·g²·i⁻¹·B⁻¹
m = k₀ · v²·g⁻²·i·B
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-2", "gravity": "2", "current": "-1", "bfield": "-1"}
5
current,gravity,mass,permittivity,velocity
m·v·g·i·ε
em,mechanics
m·v²·g·i⁻²·ε
m = k₀ · v⁻²·g⁻¹·i²·ε⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "gravity": "1", "current": "-2", "permittivity": "1"}
5
gravity,mass,resistance,velocity,voltage
m·v·g·U·R
em,mechanics
m·v·g·U⁻²·R
m = k₀ · v⁻¹·g⁻¹·U²·R⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "gravity": "1", "voltage": "-2", "resistance": "1"}
5
gravity,mass,permeability,velocity,voltage
m·v·g·U·μ₀
em,mechanics
m·v²·g·U⁻²·μ₀
m = k₀ · v⁻²·g⁻¹·U²·μ₀⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "gravity": "1", "voltage": "-2", "permeability": "1"}
5
conductivity,gravity,mass,velocity,voltage
m·v·g·U·σ
em,mechanics
m·v⁻¹·g²·U⁻²·σ⁻¹
m = k₀ · v·g⁻²·U²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-1", "gravity": "2", "voltage": "-2", "conductivity": "-1"}
5
gravity,mass,resistivity,velocity,voltage
m·v·g·U·ρ_e
em,mechanics
m·v⁻¹·g²·U⁻²·ρ_e
m = k₀ · v·g⁻²·U²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "-1", "gravity": "2", "voltage": "-2", "resistivity": "1"}
5
efield,gravity,mass,resistance,velocity
m·v·g·R·E_f
em,mechanics
m·v⁻³·g³·R·E_f⁻²
m = k₀ · v³·g⁻³·R⁻¹·E_f²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "-3", "gravity": "3", "resistance": "1", "efield": "-2"}
5
bfield,gravity,mass,resistance,velocity
m·v·g·R·B
em,mechanics
m·v⁻⁵·g³·R·B⁻²
m = k₀ · v⁵·g⁻³·R⁻¹·B²
null
0
2
5
12
10.5
-1
false
{"mass": "1", "velocity": "-5", "gravity": "3", "resistance": "1", "bfield": "-2"}
5
gravity,mag_flux,mass,resistance,velocity
m·v·g·R·Φ
em,mechanics
m·v³·g⁻¹·R·Φ⁻²
m = k₀ · v⁻³·g·R⁻¹·Φ²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "gravity": "-1", "resistance": "1", "mag_flux": "-2"}
5
elem_charge,gravity,mass,resistance,velocity
m·v·g·R·e
constants,em,mechanics
m·v³·g⁻¹·R⁻¹·e⁻²
m = k₀ · v⁻³·g·R·e²
null
1
3
3
8
7.3
1.7
false
{"mass": "1", "velocity": "3", "gravity": "-1", "resistance": "-1", "elem_charge": "-2"}
5
capacitance,efield,gravity,mass,velocity
m·v·g·C_e·E_f
em,mechanics
m·v⁻²·g²·C_e⁻¹·E_f⁻²
m = k₀ · v²·g⁻²·C_e·E_f²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "-2", "gravity": "2", "capacitance": "-1", "efield": "-2"}
5
bfield,capacitance,gravity,mass,velocity
m·v·g·C_e·B
em,mechanics
m·v⁻⁴·g²·C_e⁻¹·B⁻²
m = k₀ · v⁴·g⁻²·C_e·B²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "-4", "gravity": "2", "capacitance": "-1", "bfield": "-2"}
5
capacitance,gravity,mag_flux,mass,velocity
m·v·g·C_e·Φ
em,mechanics
m·v⁴·g⁻²·C_e⁻¹·Φ⁻²
m = k₀ · v⁻⁴·g²·C_e·Φ²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "gravity": "-2", "capacitance": "-1", "mag_flux": "-2"}
5
efield,gravity,inductance,mass,velocity
m·v·g·L_e·E_f
em,mechanics
m·v⁻⁴·g⁴·L_e·E_f⁻²
m = k₀ · v⁴·g⁻⁴·L_e⁻¹·E_f²
null
0
2
4
12
10
-0.5
false
{"mass": "1", "velocity": "-4", "gravity": "4", "inductance": "1", "efield": "-2"}
5
bfield,gravity,inductance,mass,velocity
m·v·g·L_e·B
em,mechanics
m·v⁻⁶·g⁴·L_e·B⁻²
m = k₀ · v⁶·g⁻⁴·L_e⁻¹·B²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "-6", "gravity": "4", "inductance": "1", "bfield": "-2"}
5
elem_charge,gravity,inductance,mass,velocity
m·v·g·L_e·e
constants,em,mechanics
m·v⁴·g⁻²·L_e⁻¹·e⁻²
m = k₀ · v⁻⁴·g²·L_e·e²
null
1
3
4
10
9.2
-0.2
false
{"mass": "1", "velocity": "4", "gravity": "-2", "inductance": "-1", "elem_charge": "-2"}
5
efield,gravity,mass,permittivity,velocity
m·v·g·E_f·ε
em,mechanics
m·v⁻⁴·g³·E_f⁻²·ε⁻¹
m = k₀ · v⁴·g⁻³·E_f²·ε
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "-4", "gravity": "3", "efield": "-2", "permittivity": "-1"}
5
efield,gravity,mass,permeability,velocity
m·v·g·E_f·μ₀
em,mechanics
m·v⁻²·g³·E_f⁻²·μ₀
m = k₀ · v²·g⁻³·E_f²·μ₀⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "-2", "gravity": "3", "efield": "-2", "permeability": "1"}
5
conductivity,efield,gravity,mass,velocity
m·v·g·E_f·σ
em,mechanics
m·v⁻⁵·g⁴·E_f⁻²·σ⁻¹
m = k₀ · v⁵·g⁻⁴·E_f²·σ
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "-5", "gravity": "4", "efield": "-2", "conductivity": "-1"}
5
efield,gravity,mass,resistivity,velocity
m·v·g·E_f·ρ_e
em,mechanics
m·v⁻⁵·g⁴·E_f⁻²·ρ_e
m = k₀ · v⁵·g⁻⁴·E_f²·ρ_e⁻¹
null
0
2
5
13
11.2
-1.7
false
{"mass": "1", "velocity": "-5", "gravity": "4", "efield": "-2", "resistivity": "1"}
5
bfield,gravity,mass,permittivity,velocity
m·v·g·B·ε
em,mechanics
m·v⁻⁶·g³·B⁻²·ε⁻¹
m = k₀ · v⁶·g⁻³·B²·ε
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "velocity": "-6", "gravity": "3", "bfield": "-2", "permittivity": "-1"}
5
bfield,gravity,mass,permeability,velocity
m·v·g·B·μ₀
em,mechanics
m·v⁻⁴·g³·B⁻²·μ₀
m = k₀ · v⁴·g⁻³·B²·μ₀⁻¹
null
0
2
4
11
9.3
0.2
false
{"mass": "1", "velocity": "-4", "gravity": "3", "bfield": "-2", "permeability": "1"}
5
bfield,conductivity,gravity,mass,velocity
m·v·g·B·σ
em,mechanics
m·v⁻⁷·g⁴·B⁻²·σ⁻¹
m = k₀ · v⁷·g⁻⁴·B²·σ
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "velocity": "-7", "gravity": "4", "bfield": "-2", "conductivity": "-1"}
5
bfield,gravity,mass,resistivity,velocity
m·v·g·B·ρ_e
em,mechanics
m·v⁻⁷·g⁴·B⁻²·ρ_e
m = k₀ · v⁷·g⁻⁴·B²·ρ_e⁻¹
null
0
2
7
15
13.6
-4.1
false
{"mass": "1", "velocity": "-7", "gravity": "4", "bfield": "-2", "resistivity": "1"}
5
bfield,elem_charge,gravity,mass,velocity
m·v·g·B·e
constants,em,mechanics
m·v⁻¹·g·B⁻¹·e⁻¹
m = k₀ · v·g⁻¹·B·e
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "velocity": "-1", "gravity": "1", "bfield": "-1", "elem_charge": "-1"}
5
gravity,mag_flux,mass,permittivity,velocity
m·v·g·Φ·ε
em,mechanics
m·v²·g⁻¹·Φ⁻²·ε⁻¹
m = k₀ · v⁻²·g·Φ²·ε
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "gravity": "-1", "mag_flux": "-2", "permittivity": "-1"}
5
gravity,mag_flux,mass,permeability,velocity
m·v·g·Φ·μ₀
em,mechanics
m·v⁴·g⁻¹·Φ⁻²·μ₀
m = k₀ · v⁻⁴·g·Φ²·μ₀⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "gravity": "-1", "mag_flux": "-2", "permeability": "1"}
5
elem_charge,gravity,mag_flux,mass,velocity
m·v·g·Φ·e
constants,em,mechanics
m·v³·g⁻¹·Φ⁻¹·e⁻¹
m = k₀ · v⁻³·g·Φ·e
null
1
3
3
7
6.6
2.4
false
{"mass": "1", "velocity": "3", "gravity": "-1", "mag_flux": "-1", "elem_charge": "-1"}
5
elem_charge,gravity,mass,permittivity,velocity
m·v·g·ε·e
constants,em,mechanics
m·v⁴·g⁻¹·ε·e⁻²
m = k₀ · v⁻⁴·g·ε⁻¹·e²
null
1
3
4
9
8.5
0.5
false
{"mass": "1", "velocity": "4", "gravity": "-1", "permittivity": "1", "elem_charge": "-2"}
5
elem_charge,gravity,mass,permeability,velocity
m·v·g·μ₀·e
constants,em,mechanics
m·v²·g⁻¹·μ₀⁻¹·e⁻²
m = k₀ · v⁻²·g·μ₀·e²
null
1
3
2
7
6.1
2.9
false
{"mass": "1", "velocity": "2", "gravity": "-1", "permeability": "-1", "elem_charge": "-2"}
5
conductivity,elem_charge,gravity,mass,velocity
m·v·g·σ·e
constants,em,mechanics
m·v⁵·g⁻²·σ·e⁻²
m = k₀ · v⁻⁵·g²·σ⁻¹·e²
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "gravity": "-2", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,gravity,mass,resistivity,velocity
m·v·g·ρ_e·e
constants,em,mechanics
m·v⁵·g⁻²·ρ_e⁻¹·e⁻²
m = k₀ · v⁻⁵·g²·ρ_e·e²
null
1
3
5
11
10.4
-1.4
false
{"mass": "1", "velocity": "5", "gravity": "-2", "resistivity": "-1", "elem_charge": "-2"}
5
concentration,gravity,mass,molar_mass,velocity
m·v·g·M_m·c_n
chemistry,mechanics
m·v⁻⁶·g³·M_m⁻¹·c_n⁻¹
m = k₀ · v⁶·g⁻³·M_m·c_n
null
0
2
6
12
11
-1.5
false
{"mass": "1", "velocity": "-6", "gravity": "3", "molar_mass": "-1", "concentration": "-1"}
5
cat_activity,gravity,mass,molar_mass,velocity
m·v·g·M_m·z
chemistry,mechanics
m·v⁻¹·g·M_m⁻¹·z⁻¹
m = k₀ · v·g⁻¹·M_m·z
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "-1", "gravity": "1", "molar_mass": "-1", "cat_activity": "-1"}
5
concentration,gravity,mass,molar_energy,velocity
m·v·g·c_n·E_m
chemistry,mechanics
m·v⁻⁴·g³·c_n⁻¹·E_m⁻¹
m = k₀ · v⁴·g⁻³·c_n·E_m
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "-4", "gravity": "3", "concentration": "-1", "molar_energy": "-1"}
5
cat_activity,gravity,mass,molar_energy,velocity
m·v·g·E_m·z
chemistry,mechanics
m·v·g·E_m⁻¹·z⁻¹
m = k₀ · v⁻¹·g⁻¹·E_m·z
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "gravity": "1", "molar_energy": "-1", "cat_activity": "-1"}
4
grav_const,gravity,mass,velocity
m·v·g·G
constants,mechanics
m·v⁻⁴·g·G
m = k₀ · v⁴·g⁻¹·G⁻¹
null
1
2
4
7
6.2
3.3
false
{"mass": "1", "velocity": "-4", "gravity": "1", "grav_const": "1"}
4
gravity,mass,planck,velocity
m·v·g·h
constants,mechanics
m·v³·g⁻¹·h⁻¹
m = k₀ · v⁻³·g·h
null
1
2
3
6
5
4.5
true
{"mass": "1", "velocity": "3", "gravity": "-1", "planck": "-1"}
4
ang_momentum,force,mass,velocity
m·v·F·Lₐ
mechanics
m²·v³·F⁻¹·Lₐ⁻¹
F = k₀ · m²·v³·Lₐ⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "2", "velocity": "3", "force": "-1", "ang_momentum": "-1"}
4
action,force,mass,velocity
m·v·F·S
mechanics
m²·v³·F⁻¹·S⁻¹
F = k₀ · m²·v³·S⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "2", "velocity": "3", "force": "-1", "action": "-1"}
4
force,inertia,mass,velocity
m·v·F·J
mechanics
m³·v⁴·F⁻²·J⁻¹
J = k₀ · m³·v⁴·F⁻²
null
0
1
4
10
7.7
2.3
false
{"mass": "3", "velocity": "4", "force": "-2", "inertia": "-1"}
4
force,mass,pressure,velocity
m·v·F·P_p
mechanics
m²·v⁴·F⁻³·P_p
P_p = k₀ · m⁻²·v⁻⁴·F³
null
0
1
4
10
7.7
2.3
false
{"mass": "2", "velocity": "4", "force": "-3", "pressure": "1"}
4
density,force,mass,velocity
m·v·F·ρ
mechanics
m²·v⁶·F⁻³·ρ
ρ = k₀ · m⁻²·v⁻⁶·F³
null
0
1
6
12
10.1
-0.1
false
{"mass": "2", "velocity": "6", "force": "-3", "density": "1"}
4
force,mass,velocity,viscosity
m·v·F·μ
mechanics
m·v³·F⁻²·μ
m = k₀ · v⁻³·F²·μ⁻¹
null
0
1
3
7
5.1
4.9
true
{"mass": "1", "velocity": "3", "force": "-2", "viscosity": "1"}
4
force,kin_viscosity,mass,velocity
m·v·F·ν
mechanics
m·v³·F⁻¹·ν⁻¹
m = k₀ · v⁻³·F·ν
null
0
1
3
6
4.4
5.6
true
{"mass": "1", "velocity": "3", "force": "-1", "kin_viscosity": "-1"}
4
force,mass,omega,velocity
m·v·F·ω
mechanics
m·v·F⁻¹·ω
m = k₀ · v⁻¹·F·ω⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "velocity": "1", "force": "-1", "omega": "1"}
4
force,frequency,mass,velocity
m·v·F·f
mechanics
m·v·F⁻¹·f
m = k₀ · v⁻¹·F·f⁻¹
null
0
1
1
4
2
8
true
{"mass": "1", "velocity": "1", "force": "-1", "frequency": "1"}
4
force,mass,stiffness,velocity
m·v·F·k
mechanics
m·v²·F⁻²·k
m = k₀ · v⁻²·F²·k⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "2", "force": "-2", "stiffness": "1"}
4
force,mass,surf_tension,velocity
m·v·F·γ
mechanics
m·v²·F⁻²·γ
m = k₀ · v⁻²·F²·γ⁻¹
null
0
1
2
6
3.9
6.1
true
{"mass": "1", "velocity": "2", "force": "-2", "surf_tension": "1"}
4
area,force,mass,velocity
m·v·F·A
mechanics
m²·v⁴·F⁻²·A⁻¹
A = k₀ · m²·v⁴·F⁻²
null
0
1
4
9
7
3
false
{"mass": "2", "velocity": "4", "force": "-2", "area": "-1"}
4
force,mass,velocity,volume
m·v·F·V
mechanics
m³·v⁶·F⁻³·V⁻¹
V = k₀ · m³·v⁶·F⁻³
null
0
1
6
13
10.8
-0.8
false
{"mass": "3", "velocity": "6", "force": "-3", "volume": "-1"}
4
flowrate,force,mass,velocity
m·v·F·Q
mechanics
m²·v⁵·F⁻²·Q⁻¹
Q = k₀ · m²·v⁵·F⁻²
null
0
1
5
10
8.2
1.8
false
{"mass": "2", "velocity": "5", "force": "-2", "flowrate": "-1"}
5
force,mass,temperature,thermal_cond,velocity
m·v·F·Θ·κ
mechanics,thermo
m·v·F⁻²·Θ·κ
m = k₀ · v⁻¹·F²·Θ⁻¹·κ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "force": "-2", "temperature": "1", "thermal_cond": "1"}