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
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19 values
n_const
int64
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4
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int64
1
6
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int64
1
34
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int64
2
134
complexity
float64
0
113
score
float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
5
acceleration,capacitance,elem_charge,mass,volume
m·a·V·C_e·e
constants,em,mechanics
m³·a³·V·C_e³·e⁻⁶
V = k₀ · m⁻³·a⁻³·C_e⁻³·e⁶
null
1
3
6
16
14.4
-5.4
false
{"mass": "3", "acceleration": "3", "volume": "1", "capacitance": "3", "elem_charge": "-6"}
5
acceleration,efield,inductance,mass,volume
m·a·V·L_e·E_f
em,mechanics
m³·a⁶·V⁻²·L_e³·E_f⁻⁶
V = k₀ · m³ᐟ²·a³·L_e³ᐟ²·E_f⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "3", "acceleration": "6", "volume": "-2", "inductance": "3", "efield": "-6"}
5
acceleration,bfield,inductance,mass,volume
m·a·V·L_e·B
em,mechanics
m·a·V⁻¹·L_e·B⁻²
m = k₀ · a⁻¹·V·L_e⁻¹·B²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "volume": "-1", "inductance": "1", "bfield": "-2"}
5
acceleration,inductance,mag_flux,mass,volume
m·a·V·L_e·Φ
em,mechanics
m³·a³·V·L_e³·Φ⁻⁶
V = k₀ · m⁻³·a⁻³·L_e⁻³·Φ⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "3", "acceleration": "3", "volume": "1", "inductance": "3", "mag_flux": "-6"}
5
acceleration,efield,mass,permittivity,volume
m·a·V·E_f·ε
em,mechanics
m³·a³·V⁻²·E_f⁻⁶·ε⁻³
V = k₀ · m³ᐟ²·a³ᐟ²·E_f⁻³·ε⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "3", "volume": "-2", "efield": "-6", "permittivity": "-3"}
5
acceleration,efield,mass,permeability,volume
m·a·V·E_f·μ₀
em,mechanics
m³·a⁶·V⁻¹·E_f⁻⁶·μ₀³
V = k₀ · m³·a⁶·E_f⁻⁶·μ₀³
null
0
2
6
19
15.9
-6.4
false
{"mass": "3", "acceleration": "6", "volume": "-1", "efield": "-6", "permeability": "3"}
5
acceleration,conductivity,efield,mass,volume
m·a·V·E_f·σ
em,mechanics
m⁶·a⁹·V⁻⁵·E_f⁻¹²·σ⁻⁶
V = k₀ · m⁶ᐟ⁵·a⁹ᐟ⁵·E_f⁻¹²ᐟ⁵·σ⁻⁶ᐟ⁵
null
0
2
12
38
32.2
-22.7
false
{"mass": "6", "acceleration": "9", "volume": "-5", "efield": "-12", "conductivity": "-6"}
5
acceleration,efield,mass,resistivity,volume
m·a·V·E_f·ρ_e
em,mechanics
m⁶·a⁹·V⁻⁵·E_f⁻¹²·ρ_e⁶
V = k₀ · m⁶ᐟ⁵·a⁹ᐟ⁵·E_f⁻¹²ᐟ⁵·ρ_e⁶ᐟ⁵
null
0
2
12
38
32.2
-22.7
false
{"mass": "6", "acceleration": "9", "volume": "-5", "efield": "-12", "resistivity": "6"}
5
acceleration,bfield,mass,permeability,volume
m·a·V·B·μ₀
em,mechanics
m³·a³·V⁻²·B⁻⁶·μ₀³
V = k₀ · m³ᐟ²·a³ᐟ²·B⁻³·μ₀³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "3", "volume": "-2", "bfield": "-6", "permeability": "3"}
5
acceleration,bfield,conductivity,mass,volume
m·a·V·B·σ
em,mechanics
m⁶·a³·V⁻⁷·B⁻¹²·σ⁻⁶
a = k₀ · m⁻²·V⁷ᐟ³·B⁴·σ²
null
0
2
12
34
29.4
-19.9
false
{"mass": "6", "acceleration": "3", "volume": "-7", "bfield": "-12", "conductivity": "-6"}
5
acceleration,bfield,mass,resistivity,volume
m·a·V·B·ρ_e
em,mechanics
m⁶·a³·V⁻⁷·B⁻¹²·ρ_e⁶
a = k₀ · m⁻²·V⁷ᐟ³·B⁴·ρ_e⁻²
null
0
2
12
34
29.4
-19.9
false
{"mass": "6", "acceleration": "3", "volume": "-7", "bfield": "-12", "resistivity": "6"}
5
acceleration,bfield,elem_charge,mass,volume
m·a·V·B·e
constants,em,mechanics
m⁶·a³·V⁻¹·B⁻⁶·e⁻⁶
V = k₀ · m⁶·a³·B⁻⁶·e⁻⁶
null
1
3
6
22
18.6
-9.6
false
{"mass": "6", "acceleration": "3", "volume": "-1", "bfield": "-6", "elem_charge": "-6"}
5
acceleration,mag_flux,mass,permeability,volume
m·a·V·Φ·μ₀
em,mechanics
m³·a³·V²·Φ⁻⁶·μ₀³
V = k₀ · m⁻³ᐟ²·a⁻³ᐟ²·Φ³·μ₀⁻³ᐟ²
null
0
2
6
17
14.5
-5
false
{"mass": "3", "acceleration": "3", "volume": "2", "mag_flux": "-6", "permeability": "3"}
5
acceleration,conductivity,mag_flux,mass,volume
m·a·V·Φ·σ
em,mechanics
m⁶·a³·V·Φ⁻¹²·σ⁻⁶
V = k₀ · m⁻⁶·a⁻³·Φ¹²·σ⁶
null
0
2
12
28
25.2
-15.7
false
{"mass": "6", "acceleration": "3", "volume": "1", "mag_flux": "-12", "conductivity": "-6"}
5
acceleration,mag_flux,mass,resistivity,volume
m·a·V·Φ·ρ_e
em,mechanics
m⁶·a³·V·Φ⁻¹²·ρ_e⁶
V = k₀ · m⁻⁶·a⁻³·Φ¹²·ρ_e⁻⁶
null
0
2
12
28
25.2
-15.7
false
{"mass": "6", "acceleration": "3", "volume": "1", "mag_flux": "-12", "resistivity": "6"}
5
acceleration,elem_charge,mag_flux,mass,volume
m·a·V·Φ·e
constants,em,mechanics
m²·a·V·Φ⁻²·e⁻²
a = k₀ · m⁻²·V⁻¹·Φ²·e²
null
1
3
2
8
6.8
2.2
false
{"mass": "2", "acceleration": "1", "volume": "1", "mag_flux": "-2", "elem_charge": "-2"}
5
acceleration,elem_charge,mass,permittivity,volume
m·a·V·ε·e
constants,em,mechanics
m³·a³·V²·ε³·e⁻⁶
V = k₀ · m⁻³ᐟ²·a⁻³ᐟ²·ε⁻³ᐟ²·e³
null
1
3
6
17
15.1
-6.1
false
{"mass": "3", "acceleration": "3", "volume": "2", "permittivity": "3", "elem_charge": "-6"}
5
acceleration,conductivity,elem_charge,mass,volume
m·a·V·σ·e
constants,em,mechanics
m⁶·a³·V⁵·σ⁶·e⁻¹²
a = k₀ · m⁻²·V⁻⁵ᐟ³·σ⁻²·e⁴
null
1
3
12
32
28.6
-19.6
false
{"mass": "6", "acceleration": "3", "volume": "5", "conductivity": "6", "elem_charge": "-12"}
5
acceleration,elem_charge,mass,resistivity,volume
m·a·V·ρ_e·e
constants,em,mechanics
m⁶·a³·V⁵·ρ_e⁻⁶·e⁻¹²
a = k₀ · m⁻²·V⁻⁵ᐟ³·ρ_e²·e⁴
null
1
3
12
32
28.6
-19.6
false
{"mass": "6", "acceleration": "3", "volume": "5", "resistivity": "-6", "elem_charge": "-12"}
5
acceleration,amount,mass,molar_energy,volume
m·a·V·n·E_m
chemistry,mechanics
m³·a³·V·n⁻³·E_m⁻³
V = k₀ · m⁻³·a⁻³·n³·E_m³
null
0
2
3
13
10.2
-0.7
false
{"mass": "3", "acceleration": "3", "volume": "1", "amount": "-3", "molar_energy": "-3"}
5
acceleration,cat_activity,mass,molar_mass,volume
m·a·V·M_m·z
chemistry,mechanics
m⁶·a³·V⁻¹·M_m⁻⁶·z⁻⁶
V = k₀ · m⁶·a³·M_m⁻⁶·z⁻⁶
null
0
2
6
22
18
-8.5
false
{"mass": "6", "acceleration": "3", "volume": "-1", "molar_mass": "-6", "cat_activity": "-6"}
5
acceleration,concentration,mass,molar_energy,volume
m·a·V·c_n·E_m
chemistry,mechanics
m³·a³·V⁻²·c_n⁻³·E_m⁻³
V = k₀ · m³ᐟ²·a³ᐟ²·c_n⁻³ᐟ²·E_m⁻³ᐟ²
null
0
2
3
14
10.9
-1.4
false
{"mass": "3", "acceleration": "3", "volume": "-2", "concentration": "-3", "molar_energy": "-3"}
6
acceleration,boltzmann,gas_constant,mass,molar_energy,volume
m·a·V·E_m·R·k_B
chemistry,constants,mechanics
m³·a³·V·E_m⁻³·R³·k_B⁻³
V = k₀ · m⁻³·a⁻³·E_m³·R⁻³·k_B³
null
1
3
3
16
13.2
-4.2
false
{"mass": "3", "acceleration": "3", "volume": "1", "molar_energy": "-3", "gas_constant": "3", "boltzmann": "-3"}
5
acceleration,cat_activity,mass,molar_energy,volume
m·a·V·E_m·z
chemistry,mechanics
m⁶·a⁹·V·E_m⁻⁶·z⁻⁶
V = k₀ · m⁻⁶·a⁻⁹·E_m⁶·z⁶
null
0
2
9
28
23.7
-14.2
false
{"mass": "6", "acceleration": "9", "volume": "1", "molar_energy": "-6", "cat_activity": "-6"}
5
acceleration,avogadro,mass,molar_energy,volume
m·a·V·E_m·N_A
chemistry,constants,mechanics
m³·a³·V·E_m⁻³·N_A³
V = k₀ · m⁻³·a⁻³·E_m³·N_A⁻³
null
1
3
3
13
10.8
-1.8
false
{"mass": "3", "acceleration": "3", "volume": "1", "molar_energy": "-3", "avogadro": "3"}
4
acceleration,grav_const,mass,volume
m·a·V·G
constants,mechanics
m³·a⁻³·V⁻²·G³
V = k₀ · m³ᐟ²·a⁻³ᐟ²·G³ᐟ²
null
1
2
3
11
8.5
1
false
{"mass": "3", "acceleration": "-3", "volume": "-2", "grav_const": "3"}
4
acceleration,mass,planck,volume
m·a·V·h
constants,mechanics
m²·a·V·h⁻²
a = k₀ · m⁻²·V⁻¹·h²
null
1
2
2
6
4.5
5
true
{"mass": "2", "acceleration": "1", "volume": "1", "planck": "-2"}
5
acceleration,entropy,flowrate,mass,temperature
m·a·Q·Θ·S_e
mechanics,thermo
m⁵·a⁴·Q²·Θ⁻⁵·S_e⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·Θ⁵ᐟ²·S_e⁵ᐟ²
null
0
2
5
21
16.8
-7.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "temperature": "-5", "entropy": "-5"}
5
acceleration,flowrate,heat_capacity,mass,temperature
m·a·Q·Θ·C
mechanics,thermo
m⁵·a⁴·Q²·Θ⁻⁵·C⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·Θ⁵ᐟ²·C⁵ᐟ²
null
0
2
5
21
16.8
-7.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "temperature": "-5", "heat_capacity": "-5"}
5
acceleration,flowrate,mass,temperature,thermal_cond
m·a·Q·Θ·κ
mechanics,thermo
m⁵·a⁸·Q⁻¹·Θ⁻⁵·κ⁻⁵
Q = k₀ · m⁵·a⁸·Θ⁻⁵·κ⁻⁵
null
0
2
8
24
20.4
-10.9
false
{"mass": "5", "acceleration": "8", "flowrate": "-1", "temperature": "-5", "thermal_cond": "-5"}
6
acceleration,amount,flowrate,gas_constant,mass,temperature
m·a·Q·Θ·n·R
chemistry,mechanics,thermo
m⁵·a⁴·Q²·Θ⁻⁵·n⁻⁵·R⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·Θ⁵ᐟ²·n⁵ᐟ²·R⁵ᐟ²
null
0
3
5
26
21.2
-12.2
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "temperature": "-5", "amount": "-5", "gas_constant": "-5"}
6
acceleration,concentration,flowrate,gas_constant,mass,temperature
m·a·Q·Θ·c_n·R
chemistry,mechanics,thermo
m⁵·a⁷·Q⁻⁴·Θ⁻⁵·c_n⁻⁵·R⁻⁵
Q = k₀ · m⁵ᐟ⁴·a⁷ᐟ⁴·Θ⁻⁵ᐟ⁴·c_n⁻⁵ᐟ⁴·R⁻⁵ᐟ⁴
null
0
3
7
31
25.7
-16.7
false
{"mass": "5", "acceleration": "7", "flowrate": "-4", "temperature": "-5", "concentration": "-5", "gas_constant": "-5"}
6
acceleration,cat_activity,flowrate,gas_constant,mass,temperature
m·a·Q·Θ·R·z
chemistry,mechanics,thermo
m⁵·a⁷·Q·Θ⁻⁵·R⁻⁵·z⁻⁵
Q = k₀ · m⁻⁵·a⁻⁷·Θ⁵·R⁵·z⁵
null
0
3
7
28
23.6
-14.6
false
{"mass": "5", "acceleration": "7", "flowrate": "1", "temperature": "-5", "gas_constant": "-5", "cat_activity": "-5"}
6
acceleration,avogadro,flowrate,gas_constant,mass,temperature
m·a·Q·Θ·R·N_A
chemistry,constants,mechanics,thermo
m⁵·a⁴·Q²·Θ⁻⁵·R⁻⁵·N_A⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·Θ⁵ᐟ²·R⁵ᐟ²·N_A⁻⁵ᐟ²
null
1
4
5
26
21.8
-13.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "temperature": "-5", "gas_constant": "-5", "avogadro": "5"}
5
acceleration,boltzmann,flowrate,mass,temperature
m·a·Q·Θ·k_B
constants,mechanics,thermo
m⁵·a⁴·Q²·Θ⁻⁵·k_B⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·Θ⁵ᐟ²·k_B⁵ᐟ²
null
1
3
5
21
17.4
-8.4
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "temperature": "-5", "boltzmann": "-5"}
5
acceleration,entropy,expansion,flowrate,mass
m·a·Q·S_e·β
mechanics,thermo
m⁵·a⁴·Q²·S_e⁻⁵·β⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·S_e⁵ᐟ²·β⁻⁵ᐟ²
null
0
2
5
21
16.8
-7.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "entropy": "-5", "expansion": "5"}
6
acceleration,entropy,flowrate,gas_constant,mass,molar_energy
m·a·Q·S_e·E_m·R
chemistry,mechanics,thermo
m⁵·a⁴·Q²·S_e⁻⁵·E_m⁻⁵·R⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·S_e⁵ᐟ²·E_m⁵ᐟ²·R⁻⁵ᐟ²
null
0
3
5
26
21.2
-12.2
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "entropy": "-5", "molar_energy": "-5", "gas_constant": "5"}
5
acceleration,expansion,flowrate,heat_capacity,mass
m·a·Q·C·β
mechanics,thermo
m⁵·a⁴·Q²·C⁻⁵·β⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·C⁵ᐟ²·β⁻⁵ᐟ²
null
0
2
5
21
16.8
-7.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "heat_capacity": "-5", "expansion": "5"}
6
acceleration,flowrate,gas_constant,heat_capacity,mass,molar_energy
m·a·Q·C·E_m·R
chemistry,mechanics,thermo
m⁵·a⁴·Q²·C⁻⁵·E_m⁻⁵·R⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·C⁵ᐟ²·E_m⁵ᐟ²·R⁻⁵ᐟ²
null
0
3
5
26
21.2
-12.2
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "heat_capacity": "-5", "molar_energy": "-5", "gas_constant": "5"}
5
acceleration,flowrate,mass,specific_heat,thermal_cond
m·a·Q·c·κ
mechanics,thermo
m⁵·a⁴·Q⁻³·c⁵·κ⁻⁵
Q = k₀ · m⁵ᐟ³·a⁴ᐟ³·c⁵ᐟ³·κ⁻⁵ᐟ³
null
0
2
5
22
17.5
-8
false
{"mass": "5", "acceleration": "4", "flowrate": "-3", "specific_heat": "5", "thermal_cond": "-5"}
6
acceleration,concentration,flowrate,gas_constant,mass,specific_heat
m·a·Q·c·c_n·R
chemistry,mechanics,thermo
m⁵·a³·Q⁻⁶·c⁵·c_n⁻⁵·R⁻⁵
a = k₀ · m⁻⁵ᐟ³·Q²·c⁻⁵ᐟ³·c_n⁵ᐟ³·R⁵ᐟ³
null
0
3
6
29
23.8
-14.8
false
{"mass": "5", "acceleration": "3", "flowrate": "-6", "specific_heat": "5", "concentration": "-5", "gas_constant": "-5"}
6
acceleration,cat_activity,flowrate,gas_constant,mass,specific_heat
m·a·Q·c·R·z
chemistry,mechanics,thermo
m⁵·a³·Q⁻¹·c⁵·R⁻⁵·z⁻⁵
Q = k₀ · m⁵·a³·c⁵·R⁻⁵·z⁻⁵
null
0
3
5
24
19.8
-10.8
false
{"mass": "5", "acceleration": "3", "flowrate": "-1", "specific_heat": "5", "gas_constant": "-5", "cat_activity": "-5"}
5
acceleration,expansion,flowrate,mass,thermal_cond
m·a·Q·κ·β
mechanics,thermo
m⁵·a⁸·Q⁻¹·κ⁻⁵·β⁵
Q = k₀ · m⁵·a⁸·κ⁻⁵·β⁵
null
0
2
8
24
20.4
-10.9
false
{"mass": "5", "acceleration": "8", "flowrate": "-1", "thermal_cond": "-5", "expansion": "5"}
6
acceleration,flowrate,gas_constant,mass,molar_mass,thermal_cond
m·a·Q·κ·M_m·R
chemistry,mechanics,thermo
m⁵·a⁴·Q⁻³·κ⁻⁵·M_m⁻⁵·R⁵
Q = k₀ · m⁵ᐟ³·a⁴ᐟ³·κ⁻⁵ᐟ³·M_m⁻⁵ᐟ³·R⁵ᐟ³
null
0
3
5
27
21.9
-12.9
false
{"mass": "5", "acceleration": "4", "flowrate": "-3", "thermal_cond": "-5", "molar_mass": "-5", "gas_constant": "5"}
6
acceleration,flowrate,gas_constant,mass,molar_energy,thermal_cond
m·a·Q·κ·E_m·R
chemistry,mechanics,thermo
m⁵·a⁸·Q⁻¹·κ⁻⁵·E_m⁻⁵·R⁵
Q = k₀ · m⁵·a⁸·κ⁻⁵·E_m⁻⁵·R⁵
null
0
3
8
29
24.8
-15.8
false
{"mass": "5", "acceleration": "8", "flowrate": "-1", "thermal_cond": "-5", "molar_energy": "-5", "gas_constant": "5"}
6
acceleration,amount,expansion,flowrate,gas_constant,mass
m·a·Q·β·n·R
chemistry,mechanics,thermo
m⁵·a⁴·Q²·β⁵·n⁻⁵·R⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·β⁻⁵ᐟ²·n⁵ᐟ²·R⁵ᐟ²
null
0
3
5
26
21.2
-12.2
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "expansion": "5", "amount": "-5", "gas_constant": "-5"}
6
acceleration,concentration,expansion,flowrate,gas_constant,mass
m·a·Q·β·c_n·R
chemistry,mechanics,thermo
m⁵·a⁷·Q⁻⁴·β⁵·c_n⁻⁵·R⁻⁵
Q = k₀ · m⁵ᐟ⁴·a⁷ᐟ⁴·β⁵ᐟ⁴·c_n⁻⁵ᐟ⁴·R⁻⁵ᐟ⁴
null
0
3
7
31
25.7
-16.7
false
{"mass": "5", "acceleration": "7", "flowrate": "-4", "expansion": "5", "concentration": "-5", "gas_constant": "-5"}
6
acceleration,cat_activity,expansion,flowrate,gas_constant,mass
m·a·Q·β·R·z
chemistry,mechanics,thermo
m⁵·a⁷·Q·β⁵·R⁻⁵·z⁻⁵
Q = k₀ · m⁻⁵·a⁻⁷·β⁻⁵·R⁵·z⁵
null
0
3
7
28
23.6
-14.6
false
{"mass": "5", "acceleration": "7", "flowrate": "1", "expansion": "5", "gas_constant": "-5", "cat_activity": "-5"}
6
acceleration,avogadro,expansion,flowrate,gas_constant,mass
m·a·Q·β·R·N_A
chemistry,constants,mechanics,thermo
m⁵·a⁴·Q²·β⁵·R⁻⁵·N_A⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·β⁻⁵ᐟ²·R⁵ᐟ²·N_A⁻⁵ᐟ²
null
1
4
5
26
21.8
-13.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "expansion": "5", "gas_constant": "-5", "avogadro": "5"}
5
acceleration,boltzmann,expansion,flowrate,mass
m·a·Q·β·k_B
constants,mechanics,thermo
m⁵·a⁴·Q²·β⁵·k_B⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·β⁻⁵ᐟ²·k_B⁵ᐟ²
null
1
3
5
21
17.4
-8.4
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "expansion": "5", "boltzmann": "-5"}
5
acceleration,charge,flowrate,mass,voltage
m·a·Q·q·U
em,mechanics
m⁵·a⁴·Q²·q⁻⁵·U⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·q⁵ᐟ²·U⁵ᐟ²
null
0
2
5
21
16.8
-7.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "charge": "-5", "voltage": "-5"}
5
acceleration,charge,flowrate,mass,resistance
m·a·Q·q·R
em,mechanics
m⁵·a·Q³·q⁻¹⁰·R⁻⁵
a = k₀ · m⁻⁵·Q⁻³·q¹⁰·R⁵
null
0
2
10
24
21.4
-11.9
false
{"mass": "5", "acceleration": "1", "flowrate": "3", "charge": "-10", "resistance": "-5"}
5
acceleration,capacitance,charge,flowrate,mass
m·a·Q·q·C_e
em,mechanics
m⁵·a⁴·Q²·q⁻¹⁰·C_e⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·q⁵·C_e⁻⁵ᐟ²
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "charge": "-10", "capacitance": "5"}
5
acceleration,charge,flowrate,inductance,mass
m·a·Q·q·L_e
em,mechanics
m⁵·a⁻²·Q⁴·q⁻¹⁰·L_e⁻⁵
a = k₀ · m⁵ᐟ²·Q²·q⁻⁵·L_e⁻⁵ᐟ²
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "-2", "flowrate": "4", "charge": "-10", "inductance": "-5"}
5
acceleration,bfield,charge,flowrate,mass
m·a·Q·q·B
em,mechanics
m⁵·a³·Q⁻¹·q⁻⁵·B⁻⁵
Q = k₀ · m⁵·a³·q⁻⁵·B⁻⁵
null
0
2
5
19
15.4
-5.9
false
{"mass": "5", "acceleration": "3", "flowrate": "-1", "charge": "-5", "bfield": "-5"}
5
acceleration,charge,flowrate,mag_flux,mass
m·a·Q·q·Φ
em,mechanics
m⁵·a·Q³·q⁻⁵·Φ⁻⁵
a = k₀ · m⁻⁵·Q⁻³·q⁵·Φ⁵
null
0
2
5
19
15.4
-5.9
false
{"mass": "5", "acceleration": "1", "flowrate": "3", "charge": "-5", "mag_flux": "-5"}
5
acceleration,charge,flowrate,mass,permittivity
m·a·Q·q·ε
em,mechanics
m⁵·a³·Q⁴·q⁻¹⁰·ε⁵
a = k₀ · m⁻⁵ᐟ³·Q⁻⁴ᐟ³·q¹⁰ᐟ³·ε⁻⁵ᐟ³
null
0
2
10
27
23.5
-14
false
{"mass": "5", "acceleration": "3", "flowrate": "4", "charge": "-10", "permittivity": "5"}
5
acceleration,charge,flowrate,mass,permeability
m·a·Q·q·μ₀
em,mechanics
m⁵·a⁻¹·Q²·q⁻¹⁰·μ₀⁻⁵
a = k₀ · m⁵·Q²·q⁻¹⁰·μ₀⁻⁵
null
0
2
10
23
20.7
-11.2
false
{"mass": "5", "acceleration": "-1", "flowrate": "2", "charge": "-10", "permeability": "-5"}
5
acceleration,current,flowrate,mass,voltage
m·a·Q·i·U
em,mechanics
m⁵·a⁷·Q·i⁻⁵·U⁻⁵
Q = k₀ · m⁻⁵·a⁻⁷·i⁵·U⁵
null
0
2
7
23
19.2
-9.7
false
{"mass": "5", "acceleration": "7", "flowrate": "1", "current": "-5", "voltage": "-5"}
5
acceleration,current,flowrate,mass,resistance
m·a·Q·i·R
em,mechanics
m⁵·a⁷·Q·i⁻¹⁰·R⁻⁵
Q = k₀ · m⁻⁵·a⁻⁷·i¹⁰·R⁵
null
0
2
10
28
24.2
-14.7
false
{"mass": "5", "acceleration": "7", "flowrate": "1", "current": "-10", "resistance": "-5"}
5
acceleration,current,flowrate,inductance,mass
m·a·Q·i·L_e
em,mechanics
m⁵·a⁴·Q²·i⁻¹⁰·L_e⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·i⁵·L_e⁵ᐟ²
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "current": "-10", "inductance": "-5"}
5
acceleration,current,efield,flowrate,mass
m·a·Q·i·E_f
em,mechanics
m⁵·a⁸·Q⁻¹·i⁻⁵·E_f⁻⁵
Q = k₀ · m⁵·a⁸·i⁻⁵·E_f⁻⁵
null
0
2
8
24
20.4
-10.9
false
{"mass": "5", "acceleration": "8", "flowrate": "-1", "current": "-5", "efield": "-5"}
5
acceleration,bfield,current,flowrate,mass
m·a·Q·i·B
em,mechanics
m⁵·a⁶·Q⁻²·i⁻⁵·B⁻⁵
Q = k₀ · m⁵ᐟ²·a³·i⁻⁵ᐟ²·B⁻⁵ᐟ²
null
0
2
6
23
18.7
-9.2
false
{"mass": "5", "acceleration": "6", "flowrate": "-2", "current": "-5", "bfield": "-5"}
5
acceleration,current,flowrate,mag_flux,mass
m·a·Q·i·Φ
em,mechanics
m⁵·a⁴·Q²·i⁻⁵·Φ⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·i⁵ᐟ²·Φ⁵ᐟ²
null
0
2
5
21
16.8
-7.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "current": "-5", "mag_flux": "-5"}
5
acceleration,current,flowrate,mass,permittivity
m·a·Q·i·ε
em,mechanics
m⁵·a⁹·Q²·i⁻¹⁰·ε⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻⁹ᐟ²·i⁵·ε⁻⁵ᐟ²
null
0
2
10
31
26.3
-16.8
false
{"mass": "5", "acceleration": "9", "flowrate": "2", "current": "-10", "permittivity": "5"}
5
acceleration,conductivity,current,flowrate,mass
m·a·Q·i·σ
em,mechanics
m⁵·a⁶·Q³·i⁻¹⁰·σ⁵
Q = k₀ · m⁻⁵ᐟ³·a⁻²·i¹⁰ᐟ³·σ⁻⁵ᐟ³
null
0
2
10
29
24.9
-15.4
false
{"mass": "5", "acceleration": "6", "flowrate": "3", "current": "-10", "conductivity": "5"}
5
acceleration,current,flowrate,mass,resistivity
m·a·Q·i·ρ_e
em,mechanics
m⁵·a⁶·Q³·i⁻¹⁰·ρ_e⁻⁵
Q = k₀ · m⁻⁵ᐟ³·a⁻²·i¹⁰ᐟ³·ρ_e⁵ᐟ³
null
0
2
10
29
24.9
-15.4
false
{"mass": "5", "acceleration": "6", "flowrate": "3", "current": "-10", "resistivity": "-5"}
5
acceleration,flowrate,mass,resistance,voltage
m·a·Q·U·R
em,mechanics
m⁵·a⁷·Q·U⁻¹⁰·R⁵
Q = k₀ · m⁻⁵·a⁻⁷·U¹⁰·R⁻⁵
null
0
2
10
28
24.2
-14.7
false
{"mass": "5", "acceleration": "7", "flowrate": "1", "voltage": "-10", "resistance": "5"}
5
acceleration,capacitance,flowrate,mass,voltage
m·a·Q·U·C_e
em,mechanics
m⁵·a⁴·Q²·U⁻¹⁰·C_e⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·U⁵·C_e⁵ᐟ²
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "voltage": "-10", "capacitance": "-5"}
5
acceleration,flowrate,mass,permeability,voltage
m·a·Q·U·μ₀
em,mechanics
m⁵·a⁹·Q²·U⁻¹⁰·μ₀⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻⁹ᐟ²·U⁵·μ₀⁻⁵ᐟ²
null
0
2
10
31
26.3
-16.8
false
{"mass": "5", "acceleration": "9", "flowrate": "2", "voltage": "-10", "permeability": "5"}
5
acceleration,conductivity,flowrate,mass,voltage
m·a·Q·U·σ
em,mechanics
m⁵·a⁸·Q⁻¹·U⁻¹⁰·σ⁻⁵
Q = k₀ · m⁵·a⁸·U⁻¹⁰·σ⁻⁵
null
0
2
10
29
24.9
-15.4
false
{"mass": "5", "acceleration": "8", "flowrate": "-1", "voltage": "-10", "conductivity": "-5"}
5
acceleration,flowrate,mass,resistivity,voltage
m·a·Q·U·ρ_e
em,mechanics
m⁵·a⁸·Q⁻¹·U⁻¹⁰·ρ_e⁵
Q = k₀ · m⁵·a⁸·U⁻¹⁰·ρ_e⁵
null
0
2
10
29
24.9
-15.4
false
{"mass": "5", "acceleration": "8", "flowrate": "-1", "voltage": "-10", "resistivity": "5"}
5
acceleration,elem_charge,flowrate,mass,voltage
m·a·Q·U·e
constants,em,mechanics
m⁵·a⁴·Q²·U⁻⁵·e⁻⁵
Q = k₀ · m⁻⁵ᐟ²·a⁻²·U⁵ᐟ²·e⁵ᐟ²
null
1
3
5
21
17.4
-8.4
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "voltage": "-5", "elem_charge": "-5"}
5
acceleration,efield,flowrate,mass,resistance
m·a·Q·R·E_f
em,mechanics
m⁵·a⁹·Q⁻³·R⁵·E_f⁻¹⁰
Q = k₀ · m⁵ᐟ³·a³·R⁵ᐟ³·E_f⁻¹⁰ᐟ³
null
0
2
10
32
27
-17.5
false
{"mass": "5", "acceleration": "9", "flowrate": "-3", "resistance": "5", "efield": "-10"}
5
acceleration,bfield,flowrate,mass,resistance
m·a·Q·R·B
em,mechanics
m·a·Q⁻¹·R·B⁻²
m = k₀ · a⁻¹·Q·R⁻¹·B²
null
0
2
2
6
4.8
4.7
true
{"mass": "1", "acceleration": "1", "flowrate": "-1", "resistance": "1", "bfield": "-2"}
5
acceleration,flowrate,mag_flux,mass,resistance
m·a·Q·R·Φ
em,mechanics
m⁵·a·Q³·R⁵·Φ⁻¹⁰
a = k₀ · m⁻⁵·Q⁻³·R⁻⁵·Φ¹⁰
null
0
2
10
24
21.4
-11.9
false
{"mass": "5", "acceleration": "1", "flowrate": "3", "resistance": "5", "mag_flux": "-10"}
5
acceleration,elem_charge,flowrate,mass,resistance
m·a·Q·R·e
constants,em,mechanics
m⁵·a·Q³·R⁻⁵·e⁻¹⁰
a = k₀ · m⁻⁵·Q⁻³·R⁵·e¹⁰
null
1
3
10
24
22
-13
false
{"mass": "5", "acceleration": "1", "flowrate": "3", "resistance": "-5", "elem_charge": "-10"}
5
acceleration,capacitance,efield,flowrate,mass
m·a·Q·C_e·E_f
em,mechanics
m⁵·a⁶·Q⁻²·C_e⁻⁵·E_f⁻¹⁰
Q = k₀ · m⁵ᐟ²·a³·C_e⁻⁵ᐟ²·E_f⁻⁵
null
0
2
10
28
24.2
-14.7
false
{"mass": "5", "acceleration": "6", "flowrate": "-2", "capacitance": "-5", "efield": "-10"}
5
acceleration,bfield,capacitance,flowrate,mass
m·a·Q·C_e·B
em,mechanics
m⁵·a²·Q⁻⁴·C_e⁻⁵·B⁻¹⁰
a = k₀ · m⁻⁵ᐟ²·Q²·C_e⁵ᐟ²·B⁵
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "2", "flowrate": "-4", "capacitance": "-5", "bfield": "-10"}
5
acceleration,capacitance,flowrate,mag_flux,mass
m·a·Q·C_e·Φ
em,mechanics
m⁵·a⁻²·Q⁴·C_e⁻⁵·Φ⁻¹⁰
a = k₀ · m⁵ᐟ²·Q²·C_e⁻⁵ᐟ²·Φ⁻⁵
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "-2", "flowrate": "4", "capacitance": "-5", "mag_flux": "-10"}
5
acceleration,capacitance,elem_charge,flowrate,mass
m·a·Q·C_e·e
constants,em,mechanics
m⁵·a⁴·Q²·C_e⁵·e⁻¹⁰
Q = k₀ · m⁻⁵ᐟ²·a⁻²·C_e⁻⁵ᐟ²·e⁵
null
1
3
10
26
23.4
-14.4
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "capacitance": "5", "elem_charge": "-10"}
5
acceleration,efield,flowrate,inductance,mass
m·a·Q·L_e·E_f
em,mechanics
m⁵·a¹²·Q⁻⁴·L_e⁵·E_f⁻¹⁰
Q = k₀ · m⁵ᐟ⁴·a³·L_e⁵ᐟ⁴·E_f⁻⁵ᐟ²
null
0
2
12
36
30.8
-21.3
false
{"mass": "5", "acceleration": "12", "flowrate": "-4", "inductance": "5", "efield": "-10"}
5
acceleration,bfield,flowrate,inductance,mass
m·a·Q·L_e·B
em,mechanics
m⁵·a⁸·Q⁻⁶·L_e⁵·B⁻¹⁰
m = k₀ · a⁻⁸ᐟ⁵·Q⁶ᐟ⁵·L_e⁻¹·B²
null
0
2
10
34
28.4
-18.9
false
{"mass": "5", "acceleration": "8", "flowrate": "-6", "inductance": "5", "bfield": "-10"}
5
acceleration,flowrate,inductance,mag_flux,mass
m·a·Q·L_e·Φ
em,mechanics
m⁵·a⁴·Q²·L_e⁵·Φ⁻¹⁰
Q = k₀ · m⁻⁵ᐟ²·a⁻²·L_e⁻⁵ᐟ²·Φ⁵
null
0
2
10
26
22.8
-13.3
false
{"mass": "5", "acceleration": "4", "flowrate": "2", "inductance": "5", "mag_flux": "-10"}
5
acceleration,elem_charge,flowrate,inductance,mass
m·a·Q·L_e·e
constants,em,mechanics
m⁵·a⁻²·Q⁴·L_e⁻⁵·e⁻¹⁰
a = k₀ · m⁵ᐟ²·Q²·L_e⁻⁵ᐟ²·e⁻⁵
null
1
3
10
26
23.4
-14.4
false
{"mass": "5", "acceleration": "-2", "flowrate": "4", "inductance": "-5", "elem_charge": "-10"}
5
acceleration,efield,flowrate,mass,permittivity
m·a·Q·E_f·ε
em,mechanics
m⁵·a⁷·Q⁻⁴·E_f⁻¹⁰·ε⁻⁵
Q = k₀ · m⁵ᐟ⁴·a⁷ᐟ⁴·E_f⁻⁵ᐟ²·ε⁻⁵ᐟ⁴
null
0
2
10
31
26.3
-16.8
false
{"mass": "5", "acceleration": "7", "flowrate": "-4", "efield": "-10", "permittivity": "-5"}
5
acceleration,efield,flowrate,mass,permeability
m·a·Q·E_f·μ₀
em,mechanics
m⁵·a¹¹·Q⁻²·E_f⁻¹⁰·μ₀⁵
Q = k₀ · m⁵ᐟ²·a¹¹ᐟ²·E_f⁻⁵·μ₀⁵ᐟ²
null
0
2
11
33
28.2
-18.7
false
{"mass": "5", "acceleration": "11", "flowrate": "-2", "efield": "-10", "permeability": "5"}
5
acceleration,conductivity,efield,flowrate,mass
m·a·Q·E_f·σ
em,mechanics
m·a²·Q⁻¹·E_f⁻²·σ⁻¹
m = k₀ · a⁻²·Q·E_f²·σ
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "flowrate": "-1", "efield": "-2", "conductivity": "-1"}
5
acceleration,efield,flowrate,mass,resistivity
m·a·Q·E_f·ρ_e
em,mechanics
m·a²·Q⁻¹·E_f⁻²·ρ_e
m = k₀ · a⁻²·Q·E_f²·ρ_e⁻¹
null
0
2
2
7
5.5
4
true
{"mass": "1", "acceleration": "2", "flowrate": "-1", "efield": "-2", "resistivity": "1"}
5
acceleration,bfield,flowrate,mass,permittivity
m·a·Q·B·ε
em,mechanics
m⁵·a³·Q⁻⁶·B⁻¹⁰·ε⁻⁵
a = k₀ · m⁻⁵ᐟ³·Q²·B¹⁰ᐟ³·ε⁵ᐟ³
null
0
2
10
29
24.9
-15.4
false
{"mass": "5", "acceleration": "3", "flowrate": "-6", "bfield": "-10", "permittivity": "-5"}
5
acceleration,bfield,flowrate,mass,permeability
m·a·Q·B·μ₀
em,mechanics
m⁵·a⁷·Q⁻⁴·B⁻¹⁰·μ₀⁵
Q = k₀ · m⁵ᐟ⁴·a⁷ᐟ⁴·B⁻⁵ᐟ²·μ₀⁵ᐟ⁴
null
0
2
10
31
26.3
-16.8
false
{"mass": "5", "acceleration": "7", "flowrate": "-4", "bfield": "-10", "permeability": "5"}
5
acceleration,bfield,conductivity,flowrate,mass
m·a·Q·B·σ
em,mechanics
m⁵·a⁶·Q⁻⁷·B⁻¹⁰·σ⁻⁵
m = k₀ · a⁻⁶ᐟ⁵·Q⁷ᐟ⁵·B²·σ
null
0
2
10
33
27.7
-18.2
false
{"mass": "5", "acceleration": "6", "flowrate": "-7", "bfield": "-10", "conductivity": "-5"}
5
acceleration,bfield,flowrate,mass,resistivity
m·a·Q·B·ρ_e
em,mechanics
m⁵·a⁶·Q⁻⁷·B⁻¹⁰·ρ_e⁵
m = k₀ · a⁻⁶ᐟ⁵·Q⁷ᐟ⁵·B²·ρ_e⁻¹
null
0
2
10
33
27.7
-18.2
false
{"mass": "5", "acceleration": "6", "flowrate": "-7", "bfield": "-10", "resistivity": "5"}
5
acceleration,bfield,elem_charge,flowrate,mass
m·a·Q·B·e
constants,em,mechanics
m⁵·a³·Q⁻¹·B⁻⁵·e⁻⁵
Q = k₀ · m⁵·a³·B⁻⁵·e⁻⁵
null
1
3
5
19
16
-7
false
{"mass": "5", "acceleration": "3", "flowrate": "-1", "bfield": "-5", "elem_charge": "-5"}
5
acceleration,flowrate,mag_flux,mass,permittivity
m·a·Q·Φ·ε
em,mechanics
m⁵·a⁻¹·Q²·Φ⁻¹⁰·ε⁻⁵
a = k₀ · m⁵·Q²·Φ⁻¹⁰·ε⁻⁵
null
0
2
10
23
20.7
-11.2
false
{"mass": "5", "acceleration": "-1", "flowrate": "2", "mag_flux": "-10", "permittivity": "-5"}
5
acceleration,flowrate,mag_flux,mass,permeability
m·a·Q·Φ·μ₀
em,mechanics
m⁵·a³·Q⁴·Φ⁻¹⁰·μ₀⁵
a = k₀ · m⁻⁵ᐟ³·Q⁻⁴ᐟ³·Φ¹⁰ᐟ³·μ₀⁻⁵ᐟ³
null
0
2
10
27
23.5
-14
false
{"mass": "5", "acceleration": "3", "flowrate": "4", "mag_flux": "-10", "permeability": "5"}
5
acceleration,conductivity,flowrate,mag_flux,mass
m·a·Q·Φ·σ
em,mechanics
m⁵·a²·Q·Φ⁻¹⁰·σ⁻⁵
Q = k₀ · m⁻⁵·a⁻²·Φ¹⁰·σ⁵
null
0
2
10
23
20.7
-11.2
false
{"mass": "5", "acceleration": "2", "flowrate": "1", "mag_flux": "-10", "conductivity": "-5"}
5
acceleration,flowrate,mag_flux,mass,resistivity
m·a·Q·Φ·ρ_e
em,mechanics
m⁵·a²·Q·Φ⁻¹⁰·ρ_e⁵
Q = k₀ · m⁻⁵·a⁻²·Φ¹⁰·ρ_e⁻⁵
null
0
2
10
23
20.7
-11.2
false
{"mass": "5", "acceleration": "2", "flowrate": "1", "mag_flux": "-10", "resistivity": "5"}
5
acceleration,elem_charge,flowrate,mag_flux,mass
m·a·Q·Φ·e
constants,em,mechanics
m⁵·a·Q³·Φ⁻⁵·e⁻⁵
a = k₀ · m⁻⁵·Q⁻³·Φ⁵·e⁵
null
1
3
5
19
16
-7
false
{"mass": "5", "acceleration": "1", "flowrate": "3", "mag_flux": "-5", "elem_charge": "-5"}
5
acceleration,elem_charge,flowrate,mass,permittivity
m·a·Q·ε·e
constants,em,mechanics
m⁵·a³·Q⁴·ε⁵·e⁻¹⁰
a = k₀ · m⁻⁵ᐟ³·Q⁻⁴ᐟ³·ε⁻⁵ᐟ³·e¹⁰ᐟ³
null
1
3
10
27
24.1
-15.1
false
{"mass": "5", "acceleration": "3", "flowrate": "4", "permittivity": "5", "elem_charge": "-10"}