Datasets:
RANDMEDIATION
/
PhysicsBabel

Dataset card Data Studio Files
xet
 Community
1
size
int64
2
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keys
stringlengths
10
106
symbols
stringlengths
3
29
domains
stringclasses
62 values
pi
stringlengths
3
46
equation
stringlengths
10
59
name
stringclasses
19 values
n_const
int64
0
4
n_domains
int64
1
6
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int64
1
34
exp_l1
int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
5
conductivity,elem_charge,mass,surf_tension,velocity
m·v·γ·σ·e
constants,em,mechanics
m²·v³·γ⁻¹·σ·e⁻²
γ = k₀ · m²·v³·σ·e⁻²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "surf_tension": "-1", "conductivity": "1", "elem_charge": "-2"}
5
elem_charge,mass,resistivity,surf_tension,velocity
m·v·γ·ρ_e·e
constants,em,mechanics
m²·v³·γ⁻¹·ρ_e⁻¹·e⁻²
γ = k₀ · m²·v³·ρ_e⁻¹·e⁻²
null
1
3
3
9
8
1
false
{"mass": "2", "velocity": "3", "surf_tension": "-1", "resistivity": "-1", "elem_charge": "-2"}
5
amount,concentration,mass,surf_tension,velocity
m·v·γ·n·c_n
chemistry,mechanics
m³·v⁶·γ⁻³·n⁻²·c_n²
n = k₀ · m³ᐟ²·v³·γ⁻³ᐟ²·c_n
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "surf_tension": "-3", "amount": "-2", "concentration": "2"}
5
concentration,mass,molar_mass,surf_tension,velocity
m·v·γ·M_m·c_n
chemistry,mechanics
m·v⁶·γ⁻³·M_m²·c_n²
m = k₀ · v⁻⁶·γ³·M_m⁻²·c_n⁻²
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "velocity": "6", "surf_tension": "-3", "molar_mass": "2", "concentration": "2"}
5
concentration,mass,molar_energy,surf_tension,velocity
m·v·γ·c_n·E_m
chemistry,mechanics
m·v²·γ⁻³·c_n²·E_m²
m = k₀ · v⁻²·γ³·c_n⁻²·E_m⁻²
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "velocity": "2", "surf_tension": "-3", "concentration": "2", "molar_energy": "2"}
6
boltzmann,concentration,gas_constant,mass,surf_tension,velocity
m·v·γ·c_n·R·k_B
chemistry,constants,mechanics
m³·v⁶·γ⁻³·c_n²·R²·k_B⁻²
c_n = k₀ · m⁻³ᐟ²·v⁻³·γ³ᐟ²·R⁻¹·k_B
null
1
3
6
18
16.1
-7.1
false
{"mass": "3", "velocity": "6", "surf_tension": "-3", "concentration": "2", "gas_constant": "2", "boltzmann": "-2"}
5
cat_activity,concentration,mass,surf_tension,velocity
m·v·γ·c_n·z
chemistry,mechanics
m·v³·γ⁻¹·c_n·z⁻¹
m = k₀ · v⁻³·γ·c_n⁻¹·z
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "surf_tension": "-1", "concentration": "1", "cat_activity": "-1"}
5
avogadro,concentration,mass,surf_tension,velocity
m·v·γ·c_n·N_A
chemistry,constants,mechanics
m³·v⁶·γ⁻³·c_n²·N_A²
c_n = k₀ · m⁻³ᐟ²·v⁻³·γ³ᐟ²·N_A⁻¹
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "velocity": "6", "surf_tension": "-3", "concentration": "2", "avogadro": "2"}
5
cat_activity,mass,molar_energy,surf_tension,velocity
m·v·γ·E_m·z
chemistry,mechanics
m·v⁴·γ·E_m⁻²·z⁻²
m = k₀ · v⁻⁴·γ⁻¹·E_m²·z²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "surf_tension": "1", "molar_energy": "-2", "cat_activity": "-2"}
5
illuminance,lum_intensity,mass,surf_tension,velocity
m·v·γ·I_v·E_v
mechanics,photometry
m·v²·γ⁻¹·I_v⁻¹·E_v
m = k₀ · v⁻²·γ·I_v·E_v⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "lum_intensity": "-1", "illuminance": "1"}
5
lum_intensity,luminance,mass,surf_tension,velocity
m·v·γ·I_v·L_v
mechanics,photometry
m·v²·γ⁻¹·I_v⁻¹·L_v
m = k₀ · v⁻²·γ·I_v·L_v⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "surf_tension": "-1", "lum_intensity": "-1", "luminance": "1"}
4
grav_const,mass,surf_tension,velocity
m·v·γ·G
constants,mechanics
m·v⁻⁶·γ·G²
m = k₀ · v⁶·γ⁻¹·G⁻²
null
1
2
6
10
9.3
0.2
false
{"mass": "1", "velocity": "-6", "surf_tension": "1", "grav_const": "2"}
4
mass,planck,surf_tension,velocity
m·v·γ·h
constants,mechanics
m³·v⁴·γ⁻¹·h⁻²
γ = k₀ · m³·v⁴·h⁻²
null
1
2
4
10
8.3
1.2
false
{"mass": "3", "velocity": "4", "surf_tension": "-1", "planck": "-2"}
5
area,mass,temperature,thermal_cond,velocity
m·v·A·Θ·κ
mechanics,thermo
m·v³·A⁻¹·Θ⁻¹·κ⁻¹
m = k₀ · v⁻³·A·Θ·κ
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "area": "-1", "temperature": "-1", "thermal_cond": "-1"}
6
area,concentration,gas_constant,mass,temperature,velocity
m·v·A·Θ·c_n·R
chemistry,mechanics,thermo
m²·v⁴·A⁻³·Θ⁻²·c_n⁻²·R⁻²
m = k₀ · v⁻²·A³ᐟ²·Θ·c_n·R
null
0
3
4
15
13
-4
false
{"mass": "2", "velocity": "4", "area": "-3", "temperature": "-2", "concentration": "-2", "gas_constant": "-2"}
6
area,cat_activity,gas_constant,mass,temperature,velocity
m·v·A·Θ·R·z
chemistry,mechanics,thermo
m²·v⁶·A⁻¹·Θ⁻²·R⁻²·z⁻²
A = k₀ · m²·v⁶·Θ⁻²·R⁻²·z⁻²
null
0
3
6
15
14
-5
false
{"mass": "2", "velocity": "6", "area": "-1", "temperature": "-2", "gas_constant": "-2", "cat_activity": "-2"}
5
area,mass,specific_heat,thermal_cond,velocity
m·v·A·c·κ
mechanics,thermo
m·v·A⁻¹·c·κ⁻¹
m = k₀ · v⁻¹·A·c⁻¹·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "velocity": "1", "area": "-1", "specific_heat": "1", "thermal_cond": "-1"}
6
area,cat_activity,gas_constant,mass,specific_heat,velocity
m·v·A·c·R·z
chemistry,mechanics,thermo
m²·v²·A⁻¹·c²·R⁻²·z⁻²
A = k₀ · m²·v²·c²·R⁻²·z⁻²
null
0
3
2
11
9.2
-0.2
false
{"mass": "2", "velocity": "2", "area": "-1", "specific_heat": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
area,expansion,mass,thermal_cond,velocity
m·v·A·κ·β
mechanics,thermo
m·v³·A⁻¹·κ⁻¹·β
m = k₀ · v⁻³·A·κ·β⁻¹
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "area": "-1", "thermal_cond": "-1", "expansion": "1"}
6
area,gas_constant,mass,molar_mass,thermal_cond,velocity
m·v·A·κ·M_m·R
chemistry,mechanics,thermo
m·v·A⁻¹·κ⁻¹·M_m⁻¹·R
m = k₀ · v⁻¹·A·κ·M_m·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "velocity": "1", "area": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
area,gas_constant,mass,molar_energy,thermal_cond,velocity
m·v·A·κ·E_m·R
chemistry,mechanics,thermo
m·v³·A⁻¹·κ⁻¹·E_m⁻¹·R
m = k₀ · v⁻³·A·κ·E_m·R⁻¹
null
0
3
3
8
7.6
1.4
false
{"mass": "1", "velocity": "3", "area": "-1", "thermal_cond": "-1", "molar_energy": "-1", "gas_constant": "1"}
6
area,concentration,expansion,gas_constant,mass,velocity
m·v·A·β·c_n·R
chemistry,mechanics,thermo
m²·v⁴·A⁻³·β²·c_n⁻²·R⁻²
m = k₀ · v⁻²·A³ᐟ²·β⁻¹·c_n·R
null
0
3
4
15
13
-4
false
{"mass": "2", "velocity": "4", "area": "-3", "expansion": "2", "concentration": "-2", "gas_constant": "-2"}
6
area,cat_activity,expansion,gas_constant,mass,velocity
m·v·A·β·R·z
chemistry,mechanics,thermo
m²·v⁶·A⁻¹·β²·R⁻²·z⁻²
A = k₀ · m²·v⁶·β²·R⁻²·z⁻²
null
0
3
6
15
14
-5
false
{"mass": "2", "velocity": "6", "area": "-1", "expansion": "2", "gas_constant": "-2", "cat_activity": "-2"}
5
area,charge,mass,resistance,velocity
m·v·A·q·R
em,mechanics
m²·v²·A·q⁻⁴·R⁻²
A = k₀ · m⁻²·v⁻²·q⁴·R²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "velocity": "2", "area": "1", "charge": "-4", "resistance": "-2"}
5
area,charge,efield,mass,velocity
m·v·A·q·E_f
em,mechanics
m²·v⁴·A⁻¹·q⁻²·E_f⁻²
A = k₀ · m²·v⁴·q⁻²·E_f⁻²
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "velocity": "4", "area": "-1", "charge": "-2", "efield": "-2"}
5
area,bfield,charge,mass,velocity
m·v·A·q·B
em,mechanics
m²·v²·A⁻¹·q⁻²·B⁻²
A = k₀ · m²·v²·q⁻²·B⁻²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "velocity": "2", "area": "-1", "charge": "-2", "bfield": "-2"}
5
area,charge,mag_flux,mass,velocity
m·v·A·q·Φ
em,mechanics
m²·v²·A·q⁻²·Φ⁻²
A = k₀ · m⁻²·v⁻²·q²·Φ²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "velocity": "2", "area": "1", "charge": "-2", "mag_flux": "-2"}
5
area,charge,mass,permittivity,velocity
m·v·A·q·ε
em,mechanics
m²·v⁴·A·q⁻⁴·ε²
A = k₀ · m⁻²·v⁻⁴·q⁴·ε⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "4", "area": "1", "charge": "-4", "permittivity": "2"}
5
area,charge,conductivity,mass,velocity
m·v·A·q·σ
em,mechanics
m·v·A·q⁻²·σ
m = k₀ · v⁻¹·A⁻¹·q²·σ⁻¹
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "area": "1", "charge": "-2", "conductivity": "1"}
5
area,charge,mass,resistivity,velocity
m·v·A·q·ρ_e
em,mechanics
m·v·A·q⁻²·ρ_e⁻¹
m = k₀ · v⁻¹·A⁻¹·q²·ρ_e
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "1", "area": "1", "charge": "-2", "resistivity": "-1"}
5
area,current,mass,velocity,voltage
m·v·A·i·U
em,mechanics
m²·v⁶·A⁻¹·i⁻²·U⁻²
A = k₀ · m²·v⁶·i⁻²·U⁻²
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "velocity": "6", "area": "-1", "current": "-2", "voltage": "-2"}
5
area,current,mass,resistance,velocity
m·v·A·i·R
em,mechanics
m²·v⁶·A⁻¹·i⁻⁴·R⁻²
A = k₀ · m²·v⁶·i⁻⁴·R⁻²
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "velocity": "6", "area": "-1", "current": "-4", "resistance": "-2"}
5
area,capacitance,current,mass,velocity
m·v·A·i·C_e
em,mechanics
m·v⁴·A⁻¹·i⁻²·C_e
m = k₀ · v⁻⁴·A·i²·C_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "area": "-1", "current": "-2", "capacitance": "1"}
5
area,current,efield,mass,velocity
m·v·A·i·E_f
em,mechanics
m·v³·A⁻¹·i⁻¹·E_f⁻¹
m = k₀ · v⁻³·A·i·E_f
null
0
2
3
7
6
3.5
true
{"mass": "1", "velocity": "3", "area": "-1", "current": "-1", "efield": "-1"}
5
area,bfield,current,mass,velocity
m·v·A·i·B
em,mechanics
m·v²·A⁻¹·i⁻¹·B⁻¹
m = k₀ · v⁻²·A·i·B
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "velocity": "2", "area": "-1", "current": "-1", "bfield": "-1"}
5
area,current,mass,permittivity,velocity
m·v·A·i·ε
em,mechanics
m²·v⁸·A⁻¹·i⁻⁴·ε²
A = k₀ · m²·v⁸·i⁻⁴·ε²
null
0
2
8
17
15.5
-6
false
{"mass": "2", "velocity": "8", "area": "-1", "current": "-4", "permittivity": "2"}
5
area,current,mass,permeability,velocity
m·v·A·i·μ₀
em,mechanics
m²·v⁴·A⁻¹·i⁻⁴·μ₀⁻²
A = k₀ · m²·v⁴·i⁻⁴·μ₀⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "4", "area": "-1", "current": "-4", "permeability": "-2"}
5
area,mass,resistance,velocity,voltage
m·v·A·U·R
em,mechanics
m²·v⁶·A⁻¹·U⁻⁴·R²
A = k₀ · m²·v⁶·U⁻⁴·R²
null
0
2
6
15
13.1
-3.6
false
{"mass": "2", "velocity": "6", "area": "-1", "voltage": "-4", "resistance": "2"}
5
area,inductance,mass,velocity,voltage
m·v·A·U·L_e
em,mechanics
m·v⁴·A⁻¹·U⁻²·L_e
m = k₀ · v⁻⁴·A·U²·L_e⁻¹
null
0
2
4
9
7.9
1.6
false
{"mass": "1", "velocity": "4", "area": "-1", "voltage": "-2", "inductance": "1"}
5
area,mass,permittivity,velocity,voltage
m·v·A·U·ε
em,mechanics
m²·v⁴·A⁻¹·U⁻⁴·ε⁻²
A = k₀ · m²·v⁴·U⁻⁴·ε⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "4", "area": "-1", "voltage": "-4", "permittivity": "-2"}
5
area,mass,permeability,velocity,voltage
m·v·A·U·μ₀
em,mechanics
m²·v⁸·A⁻¹·U⁻⁴·μ₀²
A = k₀ · m²·v⁸·U⁻⁴·μ₀²
null
0
2
8
17
15.5
-6
false
{"mass": "2", "velocity": "8", "area": "-1", "voltage": "-4", "permeability": "2"}
5
area,conductivity,mass,velocity,voltage
m·v·A·U·σ
em,mechanics
m·v³·A⁻¹·U⁻²·σ⁻¹
m = k₀ · v⁻³·A·U²·σ
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "area": "-1", "voltage": "-2", "conductivity": "-1"}
5
area,mass,resistivity,velocity,voltage
m·v·A·U·ρ_e
em,mechanics
m·v³·A⁻¹·U⁻²·ρ_e
m = k₀ · v⁻³·A·U²·ρ_e⁻¹
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "area": "-1", "voltage": "-2", "resistivity": "1"}
5
area,efield,mass,resistance,velocity
m·v·A·R·E_f
em,mechanics
m²·v⁶·A⁻³·R²·E_f⁻⁴
m = k₀ · v⁻³·A³ᐟ²·R⁻¹·E_f²
null
0
2
6
17
14.5
-5
false
{"mass": "2", "velocity": "6", "area": "-3", "resistance": "2", "efield": "-4"}
5
area,bfield,mass,resistance,velocity
m·v·A·R·B
em,mechanics
m²·v²·A⁻³·R²·B⁻⁴
m = k₀ · v⁻¹·A³ᐟ²·R⁻¹·B²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "2", "area": "-3", "resistance": "2", "bfield": "-4"}
5
area,mag_flux,mass,resistance,velocity
m·v·A·R·Φ
em,mechanics
m²·v²·A·R²·Φ⁻⁴
A = k₀ · m⁻²·v⁻²·R⁻²·Φ⁴
null
0
2
4
11
9.3
0.2
false
{"mass": "2", "velocity": "2", "area": "1", "resistance": "2", "mag_flux": "-4"}
5
area,elem_charge,mass,resistance,velocity
m·v·A·R·e
constants,em,mechanics
m²·v²·A·R⁻²·e⁻⁴
A = k₀ · m⁻²·v⁻²·R²·e⁴
null
1
3
4
11
9.9
-0.9
false
{"mass": "2", "velocity": "2", "area": "1", "resistance": "-2", "elem_charge": "-4"}
5
area,capacitance,efield,mass,velocity
m·v·A·C_e·E_f
em,mechanics
m·v²·A⁻¹·C_e⁻¹·E_f⁻²
m = k₀ · v⁻²·A·C_e·E_f²
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "2", "area": "-1", "capacitance": "-1", "efield": "-2"}
5
area,efield,inductance,mass,velocity
m·v·A·L_e·E_f
em,mechanics
m·v⁴·A⁻²·L_e·E_f⁻²
m = k₀ · v⁻⁴·A²·L_e⁻¹·E_f²
null
0
2
4
10
8.6
0.9
false
{"mass": "1", "velocity": "4", "area": "-2", "inductance": "1", "efield": "-2"}
5
area,bfield,inductance,mass,velocity
m·v·A·L_e·B
em,mechanics
m·v²·A⁻²·L_e·B⁻²
m = k₀ · v⁻²·A²·L_e⁻¹·B²
null
0
2
2
8
6.2
3.3
true
{"mass": "1", "velocity": "2", "area": "-2", "inductance": "1", "bfield": "-2"}
5
area,efield,mass,permittivity,velocity
m·v·A·E_f·ε
em,mechanics
m²·v⁴·A⁻³·E_f⁻⁴·ε⁻²
m = k₀ · v⁻²·A³ᐟ²·E_f²·ε
null
0
2
4
15
12.1
-2.6
false
{"mass": "2", "velocity": "4", "area": "-3", "efield": "-4", "permittivity": "-2"}
5
area,efield,mass,permeability,velocity
m·v·A·E_f·μ₀
em,mechanics
m²·v⁸·A⁻³·E_f⁻⁴·μ₀²
m = k₀ · v⁻⁴·A³ᐟ²·E_f²·μ₀⁻¹
null
0
2
8
19
16.9
-7.4
false
{"mass": "2", "velocity": "8", "area": "-3", "efield": "-4", "permeability": "2"}
5
area,conductivity,efield,mass,velocity
m·v·A·E_f·σ
em,mechanics
m·v³·A⁻²·E_f⁻²·σ⁻¹
m = k₀ · v⁻³·A²·E_f²·σ
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "area": "-2", "efield": "-2", "conductivity": "-1"}
5
area,efield,mass,resistivity,velocity
m·v·A·E_f·ρ_e
em,mechanics
m·v³·A⁻²·E_f⁻²·ρ_e
m = k₀ · v⁻³·A²·E_f²·ρ_e⁻¹
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "velocity": "3", "area": "-2", "efield": "-2", "resistivity": "1"}
5
area,efield,elem_charge,mass,velocity
m·v·A·E_f·e
constants,em,mechanics
m²·v⁴·A⁻¹·E_f⁻²·e⁻²
A = k₀ · m²·v⁴·E_f⁻²·e⁻²
null
1
3
4
11
9.9
-0.9
false
{"mass": "2", "velocity": "4", "area": "-1", "efield": "-2", "elem_charge": "-2"}
5
area,bfield,mass,permeability,velocity
m·v·A·B·μ₀
em,mechanics
m²·v⁴·A⁻³·B⁻⁴·μ₀²
m = k₀ · v⁻²·A³ᐟ²·B²·μ₀⁻¹
null
0
2
4
15
12.1
-2.6
false
{"mass": "2", "velocity": "4", "area": "-3", "bfield": "-4", "permeability": "2"}
5
area,bfield,conductivity,mass,velocity
m·v·A·B·σ
em,mechanics
m·v·A⁻²·B⁻²·σ⁻¹
m = k₀ · v⁻¹·A²·B²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "area": "-2", "bfield": "-2", "conductivity": "-1"}
5
area,bfield,mass,resistivity,velocity
m·v·A·B·ρ_e
em,mechanics
m·v·A⁻²·B⁻²·ρ_e
m = k₀ · v⁻¹·A²·B²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "velocity": "1", "area": "-2", "bfield": "-2", "resistivity": "1"}
5
area,bfield,elem_charge,mass,velocity
m·v·A·B·e
constants,em,mechanics
m²·v²·A⁻¹·B⁻²·e⁻²
A = k₀ · m²·v²·B⁻²·e⁻²
null
1
3
2
9
7.5
1.5
false
{"mass": "2", "velocity": "2", "area": "-1", "bfield": "-2", "elem_charge": "-2"}
5
area,mag_flux,mass,permeability,velocity
m·v·A·Φ·μ₀
em,mechanics
m²·v⁴·A·Φ⁻⁴·μ₀²
A = k₀ · m⁻²·v⁻⁴·Φ⁴·μ₀⁻²
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "4", "area": "1", "mag_flux": "-4", "permeability": "2"}
5
area,elem_charge,mag_flux,mass,velocity
m·v·A·Φ·e
constants,em,mechanics
m²·v²·A·Φ⁻²·e⁻²
A = k₀ · m⁻²·v⁻²·Φ²·e²
null
1
3
2
9
7.5
1.5
false
{"mass": "2", "velocity": "2", "area": "1", "mag_flux": "-2", "elem_charge": "-2"}
5
area,elem_charge,mass,permittivity,velocity
m·v·A·ε·e
constants,em,mechanics
m²·v⁴·A·ε²·e⁻⁴
A = k₀ · m⁻²·v⁻⁴·ε⁻²·e⁴
null
1
3
4
13
11.3
-2.3
false
{"mass": "2", "velocity": "4", "area": "1", "permittivity": "2", "elem_charge": "-4"}
5
area,conductivity,elem_charge,mass,velocity
m·v·A·σ·e
constants,em,mechanics
m·v·A·σ·e⁻²
m = k₀ · v⁻¹·A⁻¹·σ⁻¹·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "area": "1", "conductivity": "1", "elem_charge": "-2"}
5
area,elem_charge,mass,resistivity,velocity
m·v·A·ρ_e·e
constants,em,mechanics
m·v·A·ρ_e⁻¹·e⁻²
m = k₀ · v⁻¹·A⁻¹·ρ_e·e²
null
1
3
2
6
5.4
3.6
false
{"mass": "1", "velocity": "1", "area": "1", "resistivity": "-1", "elem_charge": "-2"}
5
area,cat_activity,mass,molar_mass,velocity
m·v·A·M_m·z
chemistry,mechanics
m²·v²·A⁻¹·M_m⁻²·z⁻²
A = k₀ · m²·v²·M_m⁻²·z⁻²
null
0
2
2
9
6.9
2.6
false
{"mass": "2", "velocity": "2", "area": "-1", "molar_mass": "-2", "cat_activity": "-2"}
5
area,concentration,mass,molar_energy,velocity
m·v·A·c_n·E_m
chemistry,mechanics
m²·v⁴·A⁻³·c_n⁻²·E_m⁻²
m = k₀ · v⁻²·A³ᐟ²·c_n·E_m
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "velocity": "4", "area": "-3", "concentration": "-2", "molar_energy": "-2"}
5
area,cat_activity,mass,molar_energy,velocity
m·v·A·E_m·z
chemistry,mechanics
m²·v⁶·A⁻¹·E_m⁻²·z⁻²
A = k₀ · m²·v⁶·E_m⁻²·z⁻²
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "velocity": "6", "area": "-1", "molar_energy": "-2", "cat_activity": "-2"}
4
area,grav_const,mass,velocity
m·v·A·G
constants,mechanics
m²·v⁻⁴·A⁻¹·G²
A = k₀ · m²·v⁻⁴·G²
null
1
2
4
9
7.6
1.9
false
{"mass": "2", "velocity": "-4", "area": "-1", "grav_const": "2"}
4
area,mass,planck,velocity
m·v·A·h
constants,mechanics
m²·v²·A·h⁻²
A = k₀ · m⁻²·v⁻²·h²
null
1
2
2
7
5.2
4.3
true
{"mass": "2", "velocity": "2", "area": "1", "planck": "-2"}
5
mass,temperature,thermal_cond,velocity,volume
m·v·V·Θ·κ
mechanics,thermo
m³·v⁹·V⁻²·Θ⁻³·κ⁻³
V = k₀ · m³ᐟ²·v⁹ᐟ²·Θ⁻³ᐟ²·κ⁻³ᐟ²
null
0
2
9
20
18.1
-8.6
false
{"mass": "3", "velocity": "9", "volume": "-2", "temperature": "-3", "thermal_cond": "-3"}
6
concentration,gas_constant,mass,temperature,velocity,volume
m·v·V·Θ·c_n·R
chemistry,mechanics,thermo
m·v²·V⁻¹·Θ⁻¹·c_n⁻¹·R⁻¹
m = k₀ · v⁻²·V·Θ·c_n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "volume": "-1", "temperature": "-1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,gas_constant,mass,temperature,velocity,volume
m·v·V·Θ·R·z
chemistry,mechanics,thermo
m³·v⁹·V⁻¹·Θ⁻³·R⁻³·z⁻³
V = k₀ · m³·v⁹·Θ⁻³·R⁻³·z⁻³
null
0
3
9
22
20.4
-11.4
false
{"mass": "3", "velocity": "9", "volume": "-1", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
5
mass,specific_heat,thermal_cond,velocity,volume
m·v·V·c·κ
mechanics,thermo
m³·v³·V⁻²·c³·κ⁻³
V = k₀ · m³ᐟ²·v³ᐟ²·c³ᐟ²·κ⁻³ᐟ²
null
0
2
3
14
10.9
-1.4
false
{"mass": "3", "velocity": "3", "volume": "-2", "specific_heat": "3", "thermal_cond": "-3"}
6
cat_activity,gas_constant,mass,specific_heat,velocity,volume
m·v·V·c·R·z
chemistry,mechanics,thermo
m³·v³·V⁻¹·c³·R⁻³·z⁻³
V = k₀ · m³·v³·c³·R⁻³·z⁻³
null
0
3
3
16
13.2
-4.2
false
{"mass": "3", "velocity": "3", "volume": "-1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
expansion,mass,thermal_cond,velocity,volume
m·v·V·κ·β
mechanics,thermo
m³·v⁹·V⁻²·κ⁻³·β³
V = k₀ · m³ᐟ²·v⁹ᐟ²·κ⁻³ᐟ²·β³ᐟ²
null
0
2
9
20
18.1
-8.6
false
{"mass": "3", "velocity": "9", "volume": "-2", "thermal_cond": "-3", "expansion": "3"}
6
gas_constant,mass,molar_mass,thermal_cond,velocity,volume
m·v·V·κ·M_m·R
chemistry,mechanics,thermo
m³·v³·V⁻²·κ⁻³·M_m⁻³·R³
V = k₀ · m³ᐟ²·v³ᐟ²·κ⁻³ᐟ²·M_m⁻³ᐟ²·R³ᐟ²
null
0
3
3
17
13.9
-4.9
false
{"mass": "3", "velocity": "3", "volume": "-2", "thermal_cond": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
gas_constant,mass,molar_energy,thermal_cond,velocity,volume
m·v·V·κ·E_m·R
chemistry,mechanics,thermo
m³·v⁹·V⁻²·κ⁻³·E_m⁻³·R³
V = k₀ · m³ᐟ²·v⁹ᐟ²·κ⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²
null
0
3
9
23
21.1
-12.1
false
{"mass": "3", "velocity": "9", "volume": "-2", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
concentration,expansion,gas_constant,mass,velocity,volume
m·v·V·β·c_n·R
chemistry,mechanics,thermo
m·v²·V⁻¹·β·c_n⁻¹·R⁻¹
m = k₀ · v⁻²·V·β⁻¹·c_n·R
null
0
3
2
7
6.4
2.6
false
{"mass": "1", "velocity": "2", "volume": "-1", "expansion": "1", "concentration": "-1", "gas_constant": "-1"}
6
cat_activity,expansion,gas_constant,mass,velocity,volume
m·v·V·β·R·z
chemistry,mechanics,thermo
m³·v⁹·V⁻¹·β³·R⁻³·z⁻³
V = k₀ · m³·v⁹·β³·R⁻³·z⁻³
null
0
3
9
22
20.4
-11.4
false
{"mass": "3", "velocity": "9", "volume": "-1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
charge,mass,resistance,velocity,volume
m·v·V·q·R
em,mechanics
m³·v³·V·q⁻⁶·R⁻³
V = k₀ · m⁻³·v⁻³·q⁶·R³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "3", "volume": "1", "charge": "-6", "resistance": "-3"}
5
charge,efield,mass,velocity,volume
m·v·V·q·E_f
em,mechanics
m³·v⁶·V⁻¹·q⁻³·E_f⁻³
V = k₀ · m³·v⁶·q⁻³·E_f⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "velocity": "6", "volume": "-1", "charge": "-3", "efield": "-3"}
5
bfield,charge,mass,velocity,volume
m·v·V·q·B
em,mechanics
m³·v³·V⁻¹·q⁻³·B⁻³
V = k₀ · m³·v³·q⁻³·B⁻³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "velocity": "3", "volume": "-1", "charge": "-3", "bfield": "-3"}
5
charge,mag_flux,mass,velocity,volume
m·v·V·q·Φ
em,mechanics
m³·v³·V·q⁻³·Φ⁻³
V = k₀ · m⁻³·v⁻³·q³·Φ³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "velocity": "3", "volume": "1", "charge": "-3", "mag_flux": "-3"}
5
charge,mass,permittivity,velocity,volume
m·v·V·q·ε
em,mechanics
m³·v⁶·V·q⁻⁶·ε³
V = k₀ · m⁻³·v⁻⁶·q⁶·ε⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "velocity": "6", "volume": "1", "charge": "-6", "permittivity": "3"}
5
charge,conductivity,mass,velocity,volume
m·v·V·q·σ
em,mechanics
m³·v³·V²·q⁻⁶·σ³
V = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·q³·σ⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "velocity": "3", "volume": "2", "charge": "-6", "conductivity": "3"}
5
charge,mass,resistivity,velocity,volume
m·v·V·q·ρ_e
em,mechanics
m³·v³·V²·q⁻⁶·ρ_e⁻³
V = k₀ · m⁻³ᐟ²·v⁻³ᐟ²·q³·ρ_e³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "velocity": "3", "volume": "2", "charge": "-6", "resistivity": "-3"}
5
current,mass,velocity,voltage,volume
m·v·V·i·U
em,mechanics
m³·v⁹·V⁻¹·i⁻³·U⁻³
V = k₀ · m³·v⁹·i⁻³·U⁻³
null
0
2
9
19
17.4
-7.9
false
{"mass": "3", "velocity": "9", "volume": "-1", "current": "-3", "voltage": "-3"}
5
current,mass,resistance,velocity,volume
m·v·V·i·R
em,mechanics
m³·v⁹·V⁻¹·i⁻⁶·R⁻³
V = k₀ · m³·v⁹·i⁻⁶·R⁻³
null
0
2
9
22
19.5
-10
false
{"mass": "3", "velocity": "9", "volume": "-1", "current": "-6", "resistance": "-3"}
5
capacitance,current,mass,velocity,volume
m·v·V·i·C_e
em,mechanics
m³·v¹²·V⁻²·i⁻⁶·C_e³
V = k₀ · m³ᐟ²·v⁶·i⁻³·C_e³ᐟ²
null
0
2
12
26
23.8
-14.3
false
{"mass": "3", "velocity": "12", "volume": "-2", "current": "-6", "capacitance": "3"}
5
current,efield,mass,velocity,volume
m·v·V·i·E_f
em,mechanics
m³·v⁹·V⁻²·i⁻³·E_f⁻³
V = k₀ · m³ᐟ²·v⁹ᐟ²·i⁻³ᐟ²·E_f⁻³ᐟ²
null
0
2
9
20
18.1
-8.6
false
{"mass": "3", "velocity": "9", "volume": "-2", "current": "-3", "efield": "-3"}
5
bfield,current,mass,velocity,volume
m·v·V·i·B
em,mechanics
m³·v⁶·V⁻²·i⁻³·B⁻³
V = k₀ · m³ᐟ²·v³·i⁻³ᐟ²·B⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "velocity": "6", "volume": "-2", "current": "-3", "bfield": "-3"}
5
current,mass,permittivity,velocity,volume
m·v·V·i·ε
em,mechanics
m³·v¹²·V⁻¹·i⁻⁶·ε³
V = k₀ · m³·v¹²·i⁻⁶·ε³
null
0
2
12
25
23.1
-13.6
false
{"mass": "3", "velocity": "12", "volume": "-1", "current": "-6", "permittivity": "3"}
5
current,mass,permeability,velocity,volume
m·v·V·i·μ₀
em,mechanics
m³·v⁶·V⁻¹·i⁻⁶·μ₀⁻³
V = k₀ · m³·v⁶·i⁻⁶·μ₀⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "velocity": "6", "volume": "-1", "current": "-6", "permeability": "-3"}
5
mass,resistance,velocity,voltage,volume
m·v·V·U·R
em,mechanics
m³·v⁹·V⁻¹·U⁻⁶·R³
V = k₀ · m³·v⁹·U⁻⁶·R³
null
0
2
9
22
19.5
-10
false
{"mass": "3", "velocity": "9", "volume": "-1", "voltage": "-6", "resistance": "3"}
5
inductance,mass,velocity,voltage,volume
m·v·V·U·L_e
em,mechanics
m³·v¹²·V⁻²·U⁻⁶·L_e³
V = k₀ · m³ᐟ²·v⁶·U⁻³·L_e³ᐟ²
null
0
2
12
26
23.8
-14.3
false
{"mass": "3", "velocity": "12", "volume": "-2", "voltage": "-6", "inductance": "3"}
5
mass,permittivity,velocity,voltage,volume
m·v·V·U·ε
em,mechanics
m³·v⁶·V⁻¹·U⁻⁶·ε⁻³
V = k₀ · m³·v⁶·U⁻⁶·ε⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "velocity": "6", "volume": "-1", "voltage": "-6", "permittivity": "-3"}
5
mass,permeability,velocity,voltage,volume
m·v·V·U·μ₀
em,mechanics
m³·v¹²·V⁻¹·U⁻⁶·μ₀³
V = k₀ · m³·v¹²·U⁻⁶·μ₀³
null
0
2
12
25
23.1
-13.6
false
{"mass": "3", "velocity": "12", "volume": "-1", "voltage": "-6", "permeability": "3"}
5
conductivity,mass,velocity,voltage,volume
m·v·V·U·σ
em,mechanics
m³·v⁹·V⁻²·U⁻⁶·σ⁻³
V = k₀ · m³ᐟ²·v⁹ᐟ²·U⁻³·σ⁻³ᐟ²
null
0
2
9
23
20.2
-10.7
false
{"mass": "3", "velocity": "9", "volume": "-2", "voltage": "-6", "conductivity": "-3"}
5
mass,resistivity,velocity,voltage,volume
m·v·V·U·ρ_e
em,mechanics
m³·v⁹·V⁻²·U⁻⁶·ρ_e³
V = k₀ · m³ᐟ²·v⁹ᐟ²·U⁻³·ρ_e³ᐟ²
null
0
2
9
23
20.2
-10.7
false
{"mass": "3", "velocity": "9", "volume": "-2", "voltage": "-6", "resistivity": "3"}
5
efield,mass,resistance,velocity,volume
m·v·V·R·E_f
em,mechanics
m·v³·V⁻¹·R·E_f⁻²
m = k₀ · v⁻³·V·R⁻¹·E_f²
null
0
2
3
8
6.7
2.8
true
{"mass": "1", "velocity": "3", "volume": "-1", "resistance": "1", "efield": "-2"}