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stringlengths
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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
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float64
-104.8
10
plausible
bool
2 classes
exponents
stringlengths
27
177
6
acceleration,amount,ang_momentum,gas_constant,mass,temperature
m·a·Lₐ·Θ·n·R
chemistry,mechanics,thermo
m·a²·Lₐ²·Θ⁻³·n⁻³·R⁻³
m = k₀ · a⁻²·Lₐ⁻²·Θ³·n³·R³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "temperature": "-3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,ang_momentum,gas_constant,mass,molar_mass,temperature
m·a·Lₐ·Θ·M_m·R
chemistry,mechanics,thermo
m²·a⁻²·Lₐ⁻²·Θ³·M_m⁻³·R³
m = k₀ · a·Lₐ·Θ⁻³ᐟ²·M_m³ᐟ²·R⁻³ᐟ²
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "acceleration": "-2", "ang_momentum": "-2", "temperature": "3", "molar_mass": "-3", "gas_constant": "3"}
6
acceleration,ang_momentum,concentration,gas_constant,mass,temperature
m·a·Lₐ·Θ·c_n·R
chemistry,mechanics,thermo
m⁷·a⁵·Lₐ⁻⁴·Θ⁻³·c_n⁻³·R⁻³
Θ = k₀ · m⁷ᐟ³·a⁵ᐟ³·Lₐ⁻⁴ᐟ³·c_n⁻¹·R⁻¹
null
0
3
7
25
21.5
-12.5
false
{"mass": "7", "acceleration": "5", "ang_momentum": "-4", "temperature": "-3", "concentration": "-3", "gas_constant": "-3"}
6
acceleration,ang_momentum,cat_activity,gas_constant,mass,temperature
m·a·Lₐ·Θ·R·z
chemistry,mechanics,thermo
m²·a⁴·Lₐ·Θ⁻³·R⁻³·z⁻³
Lₐ = k₀ · m⁻²·a⁻⁴·Θ³·R³·z³
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "acceleration": "4", "ang_momentum": "1", "temperature": "-3", "gas_constant": "-3", "cat_activity": "-3"}
6
acceleration,ang_momentum,avogadro,gas_constant,mass,temperature
m·a·Lₐ·Θ·R·N_A
chemistry,constants,mechanics,thermo
m·a²·Lₐ²·Θ⁻³·R⁻³·N_A³
m = k₀ · a⁻²·Lₐ⁻²·Θ³·R³·N_A⁻³
null
1
4
3
14
12.4
-3.9
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "temperature": "-3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,ang_momentum,boltzmann,mass,temperature
m·a·Lₐ·Θ·k_B
constants,mechanics,thermo
m·a²·Lₐ²·Θ⁻³·k_B⁻³
m = k₀ · a⁻²·Lₐ⁻²·Θ³·k_B³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "temperature": "-3", "boltzmann": "-3"}
5
acceleration,ang_momentum,entropy,mass,thermal_cond
m·a·Lₐ·S_e·κ
mechanics,thermo
m·a·Lₐ⁻¹·S_e·κ⁻¹
m = k₀ · a⁻¹·Lₐ·S_e⁻¹·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "entropy": "1", "thermal_cond": "-1"}
5
acceleration,ang_momentum,entropy,expansion,mass
m·a·Lₐ·S_e·β
mechanics,thermo
m·a²·Lₐ²·S_e⁻³·β³
m = k₀ · a⁻²·Lₐ⁻²·S_e³·β⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "entropy": "-3", "expansion": "3"}
6
acceleration,ang_momentum,concentration,entropy,gas_constant,mass
m·a·Lₐ·S_e·c_n·R
chemistry,mechanics,thermo
m²·a·Lₐ⁻²·S_e·c_n⁻¹·R⁻¹
a = k₀ · m⁻²·Lₐ²·S_e⁻¹·c_n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "entropy": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,ang_momentum,entropy,gas_constant,mass,molar_energy
m·a·Lₐ·S_e·E_m·R
chemistry,mechanics,thermo
m·a²·Lₐ²·S_e⁻³·E_m⁻³·R³
m = k₀ · a⁻²·Lₐ⁻²·S_e³·E_m³·R⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "entropy": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,ang_momentum,cat_activity,entropy,gas_constant,mass
m·a·Lₐ·S_e·R·z
chemistry,mechanics,thermo
m·a²·Lₐ⁻¹·S_e³·R⁻³·z⁻³
m = k₀ · a⁻²·Lₐ·S_e⁻³·R³·z³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "entropy": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
acceleration,ang_momentum,heat_capacity,mass,thermal_cond
m·a·Lₐ·C·κ
mechanics,thermo
m·a·Lₐ⁻¹·C·κ⁻¹
m = k₀ · a⁻¹·Lₐ·C⁻¹·κ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "heat_capacity": "1", "thermal_cond": "-1"}
5
acceleration,ang_momentum,expansion,heat_capacity,mass
m·a·Lₐ·C·β
mechanics,thermo
m·a²·Lₐ²·C⁻³·β³
m = k₀ · a⁻²·Lₐ⁻²·C³·β⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "heat_capacity": "-3", "expansion": "3"}
6
acceleration,ang_momentum,concentration,gas_constant,heat_capacity,mass
m·a·Lₐ·C·c_n·R
chemistry,mechanics,thermo
m²·a·Lₐ⁻²·C·c_n⁻¹·R⁻¹
a = k₀ · m⁻²·Lₐ²·C⁻¹·c_n·R
null
0
3
2
8
7.1
1.9
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "heat_capacity": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,ang_momentum,gas_constant,heat_capacity,mass,molar_energy
m·a·Lₐ·C·E_m·R
chemistry,mechanics,thermo
m·a²·Lₐ²·C⁻³·E_m⁻³·R³
m = k₀ · a⁻²·Lₐ⁻²·C³·E_m³·R⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "heat_capacity": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,ang_momentum,cat_activity,gas_constant,heat_capacity,mass
m·a·Lₐ·C·R·z
chemistry,mechanics,thermo
m·a²·Lₐ⁻¹·C³·R⁻³·z⁻³
m = k₀ · a⁻²·Lₐ·C⁻³·R³·z³
null
0
3
3
13
11.1
-2.1
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "heat_capacity": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
acceleration,ang_momentum,mass,specific_heat,thermal_cond
m·a·Lₐ·c·κ
mechanics,thermo
m²·a·Lₐ⁻¹·c·κ⁻¹
a = k₀ · m⁻²·Lₐ·c⁻¹·κ
null
0
2
2
6
4.8
4.7
true
{"mass": "2", "acceleration": "1", "ang_momentum": "-1", "specific_heat": "1", "thermal_cond": "-1"}
5
acceleration,ang_momentum,expansion,mass,specific_heat
m·a·Lₐ·c·β
mechanics,thermo
m²·a⁻²·Lₐ⁻²·c³·β⁻³
m = k₀ · a·Lₐ·c⁻³ᐟ²·β³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "acceleration": "-2", "ang_momentum": "-2", "specific_heat": "3", "expansion": "-3"}
6
acceleration,ang_momentum,concentration,gas_constant,mass,specific_heat
m·a·Lₐ·c·c_n·R
chemistry,mechanics,thermo
m³·a·Lₐ⁻²·c·c_n⁻¹·R⁻¹
a = k₀ · m⁻³·Lₐ²·c⁻¹·c_n·R
null
0
3
3
9
8.3
0.7
false
{"mass": "3", "acceleration": "1", "ang_momentum": "-2", "specific_heat": "1", "concentration": "-1", "gas_constant": "-1"}
6
acceleration,ang_momentum,gas_constant,mass,molar_energy,specific_heat
m·a·Lₐ·c·E_m·R
chemistry,mechanics,thermo
m²·a⁻²·Lₐ⁻²·c³·E_m³·R⁻³
m = k₀ · a·Lₐ·c⁻³ᐟ²·E_m⁻³ᐟ²·R³ᐟ²
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "acceleration": "-2", "ang_momentum": "-2", "specific_heat": "3", "molar_energy": "3", "gas_constant": "-3"}
6
acceleration,ang_momentum,cat_activity,gas_constant,mass,specific_heat
m·a·Lₐ·c·R·z
chemistry,mechanics,thermo
m⁴·a²·Lₐ⁻¹·c³·R⁻³·z⁻³
Lₐ = k₀ · m⁴·a²·c³·R⁻³·z⁻³
null
0
3
4
16
13.7
-4.7
false
{"mass": "4", "acceleration": "2", "ang_momentum": "-1", "specific_heat": "3", "gas_constant": "-3", "cat_activity": "-3"}
5
acceleration,ang_momentum,expansion,mass,thermal_cond
m·a·Lₐ·κ·β
mechanics,thermo
m⁴·a⁵·Lₐ⁻¹·κ⁻³·β³
Lₐ = k₀ · m⁴·a⁵·κ⁻³·β³
null
0
2
5
16
13.3
-3.8
false
{"mass": "4", "acceleration": "5", "ang_momentum": "-1", "thermal_cond": "-3", "expansion": "3"}
6
acceleration,amount,ang_momentum,gas_constant,mass,thermal_cond
m·a·Lₐ·κ·n·R
chemistry,mechanics,thermo
m·a·Lₐ⁻¹·κ⁻¹·n·R
m = k₀ · a⁻¹·Lₐ·κ·n⁻¹·R⁻¹
null
0
3
1
6
5.2
3.8
false
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "thermal_cond": "-1", "amount": "1", "gas_constant": "1"}
6
acceleration,ang_momentum,gas_constant,mass,molar_mass,thermal_cond
m·a·Lₐ·κ·M_m·R
chemistry,mechanics,thermo
m²·a·Lₐ⁻¹·κ⁻¹·M_m⁻¹·R
a = k₀ · m⁻²·Lₐ·κ·M_m·R⁻¹
null
0
3
2
7
6.4
2.6
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-1", "thermal_cond": "-1", "molar_mass": "-1", "gas_constant": "1"}
6
acceleration,ang_momentum,gas_constant,mass,molar_energy,thermal_cond
m·a·Lₐ·κ·E_m·R
chemistry,mechanics,thermo
m⁴·a⁵·Lₐ⁻¹·κ⁻³·E_m⁻³·R³
Lₐ = k₀ · m⁴·a⁵·κ⁻³·E_m⁻³·R³
null
0
3
5
19
16.3
-7.3
false
{"mass": "4", "acceleration": "5", "ang_momentum": "-1", "thermal_cond": "-3", "molar_energy": "-3", "gas_constant": "3"}
6
acceleration,ang_momentum,cat_activity,gas_constant,mass,thermal_cond
m·a·Lₐ·κ·R·z
chemistry,mechanics,thermo
m²·a·Lₐ⁻²·κ⁻³·R³·z³
a = k₀ · m⁻²·Lₐ²·κ³·R⁻³·z⁻³
null
0
3
3
14
11.8
-2.8
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "thermal_cond": "-3", "gas_constant": "3", "cat_activity": "3"}
6
acceleration,ang_momentum,avogadro,gas_constant,mass,thermal_cond
m·a·Lₐ·κ·R·N_A
chemistry,constants,mechanics,thermo
m·a·Lₐ⁻¹·κ⁻¹·R·N_A⁻¹
m = k₀ · a⁻¹·Lₐ·κ·R⁻¹·N_A
null
1
4
1
6
5.8
2.7
false
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "thermal_cond": "-1", "gas_constant": "1", "avogadro": "-1"}
5
acceleration,ang_momentum,boltzmann,mass,thermal_cond
m·a·Lₐ·κ·k_B
constants,mechanics,thermo
m·a·Lₐ⁻¹·κ⁻¹·k_B
m = k₀ · a⁻¹·Lₐ·κ·k_B⁻¹
null
1
3
1
5
4.2
4.8
false
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "thermal_cond": "-1", "boltzmann": "1"}
6
acceleration,amount,ang_momentum,expansion,gas_constant,mass
m·a·Lₐ·β·n·R
chemistry,mechanics,thermo
m·a²·Lₐ²·β³·n⁻³·R⁻³
m = k₀ · a⁻²·Lₐ⁻²·β⁻³·n³·R³
null
0
3
3
14
11.8
-2.8
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "expansion": "3", "amount": "-3", "gas_constant": "-3"}
6
acceleration,ang_momentum,expansion,gas_constant,mass,molar_mass
m·a·Lₐ·β·M_m·R
chemistry,mechanics,thermo
m²·a⁻²·Lₐ⁻²·β⁻³·M_m⁻³·R³
m = k₀ · a·Lₐ·β³ᐟ²·M_m³ᐟ²·R⁻³ᐟ²
null
0
3
3
15
12.5
-3.5
false
{"mass": "2", "acceleration": "-2", "ang_momentum": "-2", "expansion": "-3", "molar_mass": "-3", "gas_constant": "3"}
6
acceleration,ang_momentum,concentration,expansion,gas_constant,mass
m·a·Lₐ·β·c_n·R
chemistry,mechanics,thermo
m⁷·a⁵·Lₐ⁻⁴·β³·c_n⁻³·R⁻³
β = k₀ · m⁻⁷ᐟ³·a⁻⁵ᐟ³·Lₐ⁴ᐟ³·c_n·R
null
0
3
7
25
21.5
-12.5
false
{"mass": "7", "acceleration": "5", "ang_momentum": "-4", "expansion": "3", "concentration": "-3", "gas_constant": "-3"}
6
acceleration,ang_momentum,cat_activity,expansion,gas_constant,mass
m·a·Lₐ·β·R·z
chemistry,mechanics,thermo
m²·a⁴·Lₐ·β³·R⁻³·z⁻³
Lₐ = k₀ · m⁻²·a⁻⁴·β⁻³·R³·z³
null
0
3
4
16
13.7
-4.7
false
{"mass": "2", "acceleration": "4", "ang_momentum": "1", "expansion": "3", "gas_constant": "-3", "cat_activity": "-3"}
6
acceleration,ang_momentum,avogadro,expansion,gas_constant,mass
m·a·Lₐ·β·R·N_A
chemistry,constants,mechanics,thermo
m·a²·Lₐ²·β³·R⁻³·N_A³
m = k₀ · a⁻²·Lₐ⁻²·β⁻³·R³·N_A⁻³
null
1
4
3
14
12.4
-3.9
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "expansion": "3", "gas_constant": "-3", "avogadro": "3"}
5
acceleration,ang_momentum,boltzmann,expansion,mass
m·a·Lₐ·β·k_B
constants,mechanics,thermo
m·a²·Lₐ²·β³·k_B⁻³
m = k₀ · a⁻²·Lₐ⁻²·β⁻³·k_B³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "expansion": "3", "boltzmann": "-3"}
5
acceleration,ang_momentum,charge,current,mass
m·a·Lₐ·q·i
em,mechanics
m·a²·Lₐ⁻¹·q³·i⁻³
m = k₀ · a⁻²·Lₐ·q⁻³·i³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "charge": "3", "current": "-3"}
5
acceleration,ang_momentum,charge,mass,voltage
m·a·Lₐ·q·U
em,mechanics
m·a²·Lₐ²·q⁻³·U⁻³
m = k₀ · a⁻²·Lₐ⁻²·q³·U³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "charge": "-3", "voltage": "-3"}
5
acceleration,ang_momentum,capacitance,charge,mass
m·a·Lₐ·q·C_e
em,mechanics
m·a²·Lₐ²·q⁻⁶·C_e³
m = k₀ · a⁻²·Lₐ⁻²·q⁶·C_e⁻³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "charge": "-6", "capacitance": "3"}
5
acceleration,ang_momentum,charge,inductance,mass
m·a·Lₐ·q·L_e
em,mechanics
m·a²·Lₐ⁻⁴·q⁶·L_e³
m = k₀ · a⁻²·Lₐ⁴·q⁻⁶·L_e⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-4", "charge": "6", "inductance": "3"}
5
acceleration,ang_momentum,bfield,charge,mass
m·a·Lₐ·q·B
em,mechanics
m⁴·a²·Lₐ⁻¹·q⁻³·B⁻³
Lₐ = k₀ · m⁴·a²·q⁻³·B⁻³
null
0
2
4
13
10.7
-1.2
false
{"mass": "4", "acceleration": "2", "ang_momentum": "-1", "charge": "-3", "bfield": "-3"}
5
acceleration,ang_momentum,charge,mass,permittivity
m·a·Lₐ·q·ε
em,mechanics
m·a⁻¹·Lₐ⁻⁴·q⁶·ε⁻³
m = k₀ · a·Lₐ⁴·q⁻⁶·ε³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-4", "charge": "6", "permittivity": "-3"}
5
acceleration,ang_momentum,charge,mass,permeability
m·a·Lₐ·q·μ₀
em,mechanics
m·a⁻¹·Lₐ²·q⁻⁶·μ₀⁻³
m = k₀ · a·Lₐ⁻²·q⁶·μ₀³
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "2", "charge": "-6", "permeability": "-3"}
5
acceleration,ang_momentum,charge,conductivity,mass
m·a·Lₐ·q·σ
em,mechanics
m²·a·Lₐ⁻⁵·q⁶·σ⁻³
a = k₀ · m⁻²·Lₐ⁵·q⁻⁶·σ³
null
0
2
6
17
14.5
-5
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-5", "charge": "6", "conductivity": "-3"}
5
acceleration,ang_momentum,charge,mass,resistivity
m·a·Lₐ·q·ρ_e
em,mechanics
m²·a·Lₐ⁻⁵·q⁶·ρ_e³
a = k₀ · m⁻²·Lₐ⁵·q⁻⁶·ρ_e⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-5", "charge": "6", "resistivity": "3"}
5
acceleration,ang_momentum,current,mass,voltage
m·a·Lₐ·i·U
em,mechanics
m²·a⁴·Lₐ·i⁻³·U⁻³
Lₐ = k₀ · m⁻²·a⁻⁴·i³·U³
null
0
2
4
13
10.7
-1.2
false
{"mass": "2", "acceleration": "4", "ang_momentum": "1", "current": "-3", "voltage": "-3"}
5
acceleration,ang_momentum,current,mass,resistance
m·a·Lₐ·i·R
em,mechanics
m²·a⁴·Lₐ·i⁻⁶·R⁻³
Lₐ = k₀ · m⁻²·a⁻⁴·i⁶·R³
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "acceleration": "4", "ang_momentum": "1", "current": "-6", "resistance": "-3"}
5
acceleration,ang_momentum,current,inductance,mass
m·a·Lₐ·i·L_e
em,mechanics
m·a²·Lₐ²·i⁻⁶·L_e⁻³
m = k₀ · a⁻²·Lₐ⁻²·i⁶·L_e³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "current": "-6", "inductance": "-3"}
5
acceleration,ang_momentum,current,efield,mass
m·a·Lₐ·i·E_f
em,mechanics
m⁴·a⁵·Lₐ⁻¹·i⁻³·E_f⁻³
Lₐ = k₀ · m⁴·a⁵·i⁻³·E_f⁻³
null
0
2
5
16
13.3
-3.8
false
{"mass": "4", "acceleration": "5", "ang_momentum": "-1", "current": "-3", "efield": "-3"}
5
acceleration,ang_momentum,bfield,current,mass
m·a·Lₐ·i·B
em,mechanics
m⁵·a⁴·Lₐ⁻²·i⁻³·B⁻³
Lₐ = k₀ · m⁵ᐟ²·a²·i⁻³ᐟ²·B⁻³ᐟ²
null
0
2
5
17
14
-4.5
false
{"mass": "5", "acceleration": "4", "ang_momentum": "-2", "current": "-3", "bfield": "-3"}
5
acceleration,ang_momentum,current,mag_flux,mass
m·a·Lₐ·i·Φ
em,mechanics
m·a²·Lₐ²·i⁻³·Φ⁻³
m = k₀ · a⁻²·Lₐ⁻²·i³·Φ³
null
0
2
3
11
8.8
0.7
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "current": "-3", "mag_flux": "-3"}
5
acceleration,ang_momentum,current,mass,permittivity
m·a·Lₐ·i·ε
em,mechanics
m·a⁵·Lₐ²·i⁻⁶·ε³
m = k₀ · a⁻⁵·Lₐ⁻²·i⁶·ε⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "5", "ang_momentum": "2", "current": "-6", "permittivity": "3"}
5
acceleration,ang_momentum,current,elem_charge,mass
m·a·Lₐ·i·e
constants,em,mechanics
m·a²·Lₐ⁻¹·i⁻³·e³
m = k₀ · a⁻²·Lₐ·i³·e⁻³
null
1
3
3
10
8.7
0.3
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "current": "-3", "elem_charge": "3"}
5
acceleration,ang_momentum,mass,resistance,voltage
m·a·Lₐ·U·R
em,mechanics
m²·a⁴·Lₐ·U⁻⁶·R³
Lₐ = k₀ · m⁻²·a⁻⁴·U⁶·R⁻³
null
0
2
6
16
13.8
-4.3
false
{"mass": "2", "acceleration": "4", "ang_momentum": "1", "voltage": "-6", "resistance": "3"}
5
acceleration,ang_momentum,capacitance,mass,voltage
m·a·Lₐ·U·C_e
em,mechanics
m·a²·Lₐ²·U⁻⁶·C_e⁻³
m = k₀ · a⁻²·Lₐ⁻²·U⁶·C_e³
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "voltage": "-6", "capacitance": "-3"}
5
acceleration,ang_momentum,efield,mass,voltage
m·a·Lₐ·U·E_f
em,mechanics
m²·a·Lₐ⁻²·U³·E_f⁻³
a = k₀ · m⁻²·Lₐ²·U⁻³·E_f³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "voltage": "3", "efield": "-3"}
5
acceleration,ang_momentum,mag_flux,mass,voltage
m·a·Lₐ·U·Φ
em,mechanics
m·a²·Lₐ⁻¹·U⁻³·Φ³
m = k₀ · a⁻²·Lₐ·U³·Φ⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "voltage": "-3", "mag_flux": "3"}
5
acceleration,ang_momentum,mass,permeability,voltage
m·a·Lₐ·U·μ₀
em,mechanics
m·a⁵·Lₐ²·U⁻⁶·μ₀³
m = k₀ · a⁻⁵·Lₐ⁻²·U⁶·μ₀⁻³
null
0
2
6
17
14.5
-5
false
{"mass": "1", "acceleration": "5", "ang_momentum": "2", "voltage": "-6", "permeability": "3"}
5
acceleration,ang_momentum,conductivity,mass,voltage
m·a·Lₐ·U·σ
em,mechanics
m⁴·a⁵·Lₐ⁻¹·U⁻⁶·σ⁻³
Lₐ = k₀ · m⁴·a⁵·U⁻⁶·σ⁻³
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "5", "ang_momentum": "-1", "voltage": "-6", "conductivity": "-3"}
5
acceleration,ang_momentum,mass,resistivity,voltage
m·a·Lₐ·U·ρ_e
em,mechanics
m⁴·a⁵·Lₐ⁻¹·U⁻⁶·ρ_e³
Lₐ = k₀ · m⁴·a⁵·U⁻⁶·ρ_e³
null
0
2
6
19
15.9
-6.4
false
{"mass": "4", "acceleration": "5", "ang_momentum": "-1", "voltage": "-6", "resistivity": "3"}
5
acceleration,ang_momentum,elem_charge,mass,voltage
m·a·Lₐ·U·e
constants,em,mechanics
m·a²·Lₐ²·U⁻³·e⁻³
m = k₀ · a⁻²·Lₐ⁻²·U³·e³
null
1
3
3
11
9.4
-0.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "voltage": "-3", "elem_charge": "-3"}
5
acceleration,ang_momentum,capacitance,mass,resistance
m·a·Lₐ·R·C_e
em,mechanics
m·a²·Lₐ⁻¹·R³·C_e³
m = k₀ · a⁻²·Lₐ·R⁻³·C_e⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "resistance": "3", "capacitance": "3"}
5
acceleration,ang_momentum,inductance,mass,resistance
m·a·Lₐ·R·L_e
em,mechanics
m·a²·Lₐ⁻¹·R⁻³·L_e³
m = k₀ · a⁻²·Lₐ·R³·L_e⁻³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "resistance": "-3", "inductance": "3"}
5
acceleration,ang_momentum,efield,mass,resistance
m·a·Lₐ·R·E_f
em,mechanics
m²·a²·Lₐ⁻¹·R·E_f⁻²
Lₐ = k₀ · m²·a²·R·E_f⁻²
null
0
2
2
8
6.2
3.3
true
{"mass": "2", "acceleration": "2", "ang_momentum": "-1", "resistance": "1", "efield": "-2"}
5
acceleration,ang_momentum,bfield,mass,resistance
m·a·Lₐ·R·B
em,mechanics
m⁸·a⁴·Lₐ⁻⁵·R³·B⁻⁶
R = k₀ · m⁻⁸ᐟ³·a⁻⁴ᐟ³·Lₐ⁵ᐟ³·B²
null
0
2
8
26
21.8
-12.3
false
{"mass": "8", "acceleration": "4", "ang_momentum": "-5", "resistance": "3", "bfield": "-6"}
5
acceleration,ang_momentum,mass,permittivity,resistance
m·a·Lₐ·R·ε
em,mechanics
m·a⁻¹·Lₐ⁻¹·R⁻³·ε⁻³
m = k₀ · a·Lₐ·R³·ε³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-1", "resistance": "-3", "permittivity": "-3"}
5
acceleration,ang_momentum,mass,permeability,resistance
m·a·Lₐ·R·μ₀
em,mechanics
m·a⁻¹·Lₐ⁻¹·R³·μ₀⁻³
m = k₀ · a·Lₐ·R⁻³·μ₀³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-1", "resistance": "3", "permeability": "-3"}
5
acceleration,ang_momentum,conductivity,mass,resistance
m·a·Lₐ·R·σ
em,mechanics
m²·a·Lₐ⁻²·R⁻³·σ⁻³
a = k₀ · m⁻²·Lₐ²·R³·σ³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "resistance": "-3", "conductivity": "-3"}
5
acceleration,ang_momentum,mass,resistance,resistivity
m·a·Lₐ·R·ρ_e
em,mechanics
m²·a·Lₐ⁻²·R⁻³·ρ_e³
a = k₀ · m⁻²·Lₐ²·R³·ρ_e⁻³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "resistance": "-3", "resistivity": "3"}
5
acceleration,ang_momentum,capacitance,inductance,mass
m·a·Lₐ·C_e·L_e
em,mechanics
m²·a⁴·Lₐ⁻²·C_e³·L_e³
m = k₀ · a⁻²·Lₐ·C_e⁻³ᐟ²·L_e⁻³ᐟ²
null
0
2
4
14
11.4
-1.9
false
{"mass": "2", "acceleration": "4", "ang_momentum": "-2", "capacitance": "3", "inductance": "3"}
5
acceleration,ang_momentum,capacitance,efield,mass
m·a·Lₐ·C_e·E_f
em,mechanics
m⁵·a⁴·Lₐ⁻²·C_e⁻³·E_f⁻⁶
Lₐ = k₀ · m⁵ᐟ²·a²·C_e⁻³ᐟ²·E_f⁻³
null
0
2
6
20
16.6
-7.1
false
{"mass": "5", "acceleration": "4", "ang_momentum": "-2", "capacitance": "-3", "efield": "-6"}
5
acceleration,ang_momentum,bfield,capacitance,mass
m·a·Lₐ·C_e·B
em,mechanics
m⁷·a²·Lₐ⁻⁴·C_e⁻³·B⁻⁶
a = k₀ · m⁻⁷ᐟ²·Lₐ²·C_e³ᐟ²·B³
null
0
2
7
22
18.5
-9
false
{"mass": "7", "acceleration": "2", "ang_momentum": "-4", "capacitance": "-3", "bfield": "-6"}
5
acceleration,ang_momentum,capacitance,mag_flux,mass
m·a·Lₐ·C_e·Φ
em,mechanics
m·a²·Lₐ⁻⁴·C_e³·Φ⁶
m = k₀ · a⁻²·Lₐ⁴·C_e⁻³·Φ⁻⁶
null
0
2
6
16
13.8
-4.3
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-4", "capacitance": "3", "mag_flux": "6"}
5
acceleration,ang_momentum,capacitance,mass,permittivity
m·a·Lₐ·C_e·ε
em,mechanics
m²·a·Lₐ⁻²·C_e³·ε⁻³
a = k₀ · m⁻²·Lₐ²·C_e⁻³·ε³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "capacitance": "3", "permittivity": "-3"}
5
acceleration,ang_momentum,capacitance,conductivity,mass
m·a·Lₐ·C_e·σ
em,mechanics
m·a·Lₐ⁻¹·C_e·σ⁻¹
m = k₀ · a⁻¹·Lₐ·C_e⁻¹·σ
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "capacitance": "1", "conductivity": "-1"}
5
acceleration,ang_momentum,capacitance,mass,resistivity
m·a·Lₐ·C_e·ρ_e
em,mechanics
m·a·Lₐ⁻¹·C_e·ρ_e
m = k₀ · a⁻¹·Lₐ·C_e⁻¹·ρ_e⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "capacitance": "1", "resistivity": "1"}
5
acceleration,ang_momentum,capacitance,elem_charge,mass
m·a·Lₐ·C_e·e
constants,em,mechanics
m·a²·Lₐ²·C_e³·e⁻⁶
m = k₀ · a⁻²·Lₐ⁻²·C_e⁻³·e⁶
null
1
3
6
14
13
-4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "capacitance": "3", "elem_charge": "-6"}
5
acceleration,ang_momentum,efield,inductance,mass
m·a·Lₐ·L_e·E_f
em,mechanics
m⁷·a⁸·Lₐ⁻⁴·L_e³·E_f⁻⁶
L_e = k₀ · m⁻⁷ᐟ³·a⁻⁸ᐟ³·Lₐ⁴ᐟ³·E_f²
null
0
2
8
28
23.2
-13.7
false
{"mass": "7", "acceleration": "8", "ang_momentum": "-4", "inductance": "3", "efield": "-6"}
5
acceleration,ang_momentum,bfield,inductance,mass
m·a·Lₐ·L_e·B
em,mechanics
m³·a²·Lₐ⁻²·L_e·B⁻²
L_e = k₀ · m⁻³·a⁻²·Lₐ²·B²
null
0
2
3
10
8.1
1.4
false
{"mass": "3", "acceleration": "2", "ang_momentum": "-2", "inductance": "1", "bfield": "-2"}
5
acceleration,ang_momentum,inductance,mag_flux,mass
m·a·Lₐ·L_e·Φ
em,mechanics
m·a²·Lₐ²·L_e³·Φ⁻⁶
m = k₀ · a⁻²·Lₐ⁻²·L_e⁻³·Φ⁶
null
0
2
6
14
12.4
-2.9
false
{"mass": "1", "acceleration": "2", "ang_momentum": "2", "inductance": "3", "mag_flux": "-6"}
5
acceleration,ang_momentum,inductance,mass,permeability
m·a·Lₐ·L_e·μ₀
em,mechanics
m²·a·Lₐ⁻²·L_e³·μ₀⁻³
a = k₀ · m⁻²·Lₐ²·L_e⁻³·μ₀³
null
0
2
3
11
8.8
0.7
false
{"mass": "2", "acceleration": "1", "ang_momentum": "-2", "inductance": "3", "permeability": "-3"}
5
acceleration,ang_momentum,conductivity,inductance,mass
m·a·Lₐ·L_e·σ
em,mechanics
m·a⁻¹·Lₐ⁻¹·L_e⁻³·σ⁻³
m = k₀ · a·Lₐ·L_e³·σ³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-1", "inductance": "-3", "conductivity": "-3"}
5
acceleration,ang_momentum,inductance,mass,resistivity
m·a·Lₐ·L_e·ρ_e
em,mechanics
m·a⁻¹·Lₐ⁻¹·L_e⁻³·ρ_e³
m = k₀ · a·Lₐ·L_e³·ρ_e⁻³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-1", "inductance": "-3", "resistivity": "3"}
5
acceleration,ang_momentum,elem_charge,inductance,mass
m·a·Lₐ·L_e·e
constants,em,mechanics
m·a²·Lₐ⁻⁴·L_e³·e⁶
m = k₀ · a⁻²·Lₐ⁴·L_e⁻³·e⁻⁶
null
1
3
6
16
14.4
-5.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-4", "inductance": "3", "elem_charge": "6"}
5
acceleration,ang_momentum,bfield,efield,mass
m·a·Lₐ·E_f·B
em,mechanics
m·a⁻¹·Lₐ⁻¹·E_f³·B⁻³
m = k₀ · a·Lₐ·E_f⁻³·B³
null
0
2
3
9
7.4
2.1
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-1", "efield": "3", "bfield": "-3"}
5
acceleration,ang_momentum,efield,mag_flux,mass
m·a·Lₐ·E_f·Φ
em,mechanics
m·a·Lₐ⁻¹·E_f⁻¹·Φ
m = k₀ · a⁻¹·Lₐ·E_f·Φ⁻¹
null
0
2
1
5
3.6
5.9
true
{"mass": "1", "acceleration": "1", "ang_momentum": "-1", "efield": "-1", "mag_flux": "1"}
5
acceleration,ang_momentum,efield,mass,permittivity
m·a·Lₐ·E_f·ε
em,mechanics
m⁷·a⁵·Lₐ⁻⁴·E_f⁻⁶·ε⁻³
ε = k₀ · m⁷ᐟ³·a⁵ᐟ³·Lₐ⁻⁴ᐟ³·E_f⁻²
null
0
2
7
25
20.6
-11.1
false
{"mass": "7", "acceleration": "5", "ang_momentum": "-4", "efield": "-6", "permittivity": "-3"}
5
acceleration,ang_momentum,efield,mass,permeability
m·a·Lₐ·E_f·μ₀
em,mechanics
m⁵·a⁷·Lₐ⁻²·E_f⁻⁶·μ₀³
Lₐ = k₀ · m⁵ᐟ²·a⁷ᐟ²·E_f⁻³·μ₀³ᐟ²
null
0
2
7
23
19.2
-9.7
false
{"mass": "5", "acceleration": "7", "ang_momentum": "-2", "efield": "-6", "permeability": "3"}
5
acceleration,ang_momentum,conductivity,efield,mass
m·a·Lₐ·E_f·σ
em,mechanics
m⁸·a⁷·Lₐ⁻⁵·E_f⁻⁶·σ⁻³
σ = k₀ · m⁸ᐟ³·a⁷ᐟ³·Lₐ⁻⁵ᐟ³·E_f⁻²
null
0
2
8
29
23.9
-14.4
false
{"mass": "8", "acceleration": "7", "ang_momentum": "-5", "efield": "-6", "conductivity": "-3"}
5
acceleration,ang_momentum,efield,mass,resistivity
m·a·Lₐ·E_f·ρ_e
em,mechanics
m⁸·a⁷·Lₐ⁻⁵·E_f⁻⁶·ρ_e³
ρ_e = k₀ · m⁻⁸ᐟ³·a⁻⁷ᐟ³·Lₐ⁵ᐟ³·E_f²
null
0
2
8
29
23.9
-14.4
false
{"mass": "8", "acceleration": "7", "ang_momentum": "-5", "efield": "-6", "resistivity": "3"}
5
acceleration,ang_momentum,bfield,mag_flux,mass
m·a·Lₐ·B·Φ
em,mechanics
m⁴·a²·Lₐ⁻⁴·B⁻³·Φ³
a = k₀ · m⁻²·Lₐ²·B³ᐟ²·Φ⁻³ᐟ²
null
0
2
4
16
12.8
-3.3
false
{"mass": "4", "acceleration": "2", "ang_momentum": "-4", "bfield": "-3", "mag_flux": "3"}
5
acceleration,ang_momentum,bfield,mass,permittivity
m·a·Lₐ·B·ε
em,mechanics
m³·a·Lₐ⁻²·B⁻²·ε⁻¹
a = k₀ · m⁻³·Lₐ²·B²·ε
null
0
2
3
9
7.4
2.1
false
{"mass": "3", "acceleration": "1", "ang_momentum": "-2", "bfield": "-2", "permittivity": "-1"}
5
acceleration,ang_momentum,bfield,mass,permeability
m·a·Lₐ·B·μ₀
em,mechanics
m⁷·a⁵·Lₐ⁻⁴·B⁻⁶·μ₀³
μ₀ = k₀ · m⁻⁷ᐟ³·a⁻⁵ᐟ³·Lₐ⁴ᐟ³·B²
null
0
2
7
25
20.6
-11.1
false
{"mass": "7", "acceleration": "5", "ang_momentum": "-4", "bfield": "-6", "permeability": "3"}
5
acceleration,ang_momentum,bfield,conductivity,mass
m·a·Lₐ·B·σ
em,mechanics
m¹⁰·a⁵·Lₐ⁻⁷·B⁻⁶·σ⁻³
σ = k₀ · m¹⁰ᐟ³·a⁵ᐟ³·Lₐ⁻⁷ᐟ³·B⁻²
null
0
2
10
31
26.3
-16.8
false
{"mass": "10", "acceleration": "5", "ang_momentum": "-7", "bfield": "-6", "conductivity": "-3"}
5
acceleration,ang_momentum,bfield,mass,resistivity
m·a·Lₐ·B·ρ_e
em,mechanics
m¹⁰·a⁵·Lₐ⁻⁷·B⁻⁶·ρ_e³
ρ_e = k₀ · m⁻¹⁰ᐟ³·a⁻⁵ᐟ³·Lₐ⁷ᐟ³·B²
null
0
2
10
31
26.3
-16.8
false
{"mass": "10", "acceleration": "5", "ang_momentum": "-7", "bfield": "-6", "resistivity": "3"}
5
acceleration,ang_momentum,bfield,elem_charge,mass
m·a·Lₐ·B·e
constants,em,mechanics
m⁴·a²·Lₐ⁻¹·B⁻³·e⁻³
Lₐ = k₀ · m⁴·a²·B⁻³·e⁻³
null
1
3
4
13
11.3
-2.3
false
{"mass": "4", "acceleration": "2", "ang_momentum": "-1", "bfield": "-3", "elem_charge": "-3"}
5
acceleration,ang_momentum,mag_flux,mass,permittivity
m·a·Lₐ·Φ·ε
em,mechanics
m·a⁻¹·Lₐ²·Φ⁻⁶·ε⁻³
m = k₀ · a·Lₐ⁻²·Φ⁶·ε³
null
0
2
6
13
11.7
-2.2
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "2", "mag_flux": "-6", "permittivity": "-3"}
5
acceleration,ang_momentum,mag_flux,mass,permeability
m·a·Lₐ·Φ·μ₀
em,mechanics
m·a⁻¹·Lₐ⁻⁴·Φ⁶·μ₀⁻³
m = k₀ · a·Lₐ⁴·Φ⁻⁶·μ₀³
null
0
2
6
15
13.1
-3.6
false
{"mass": "1", "acceleration": "-1", "ang_momentum": "-4", "mag_flux": "6", "permeability": "-3"}
5
acceleration,ang_momentum,conductivity,mag_flux,mass
m·a·Lₐ·Φ·σ
em,mechanics
m²·a·Lₐ·Φ⁻⁶·σ⁻³
a = k₀ · m⁻²·Lₐ⁻¹·Φ⁶·σ³
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "acceleration": "1", "ang_momentum": "1", "mag_flux": "-6", "conductivity": "-3"}
5
acceleration,ang_momentum,mag_flux,mass,resistivity
m·a·Lₐ·Φ·ρ_e
em,mechanics
m²·a·Lₐ·Φ⁻⁶·ρ_e³
a = k₀ · m⁻²·Lₐ⁻¹·Φ⁶·ρ_e⁻³
null
0
2
6
13
11.7
-2.2
false
{"mass": "2", "acceleration": "1", "ang_momentum": "1", "mag_flux": "-6", "resistivity": "3"}
5
acceleration,ang_momentum,mass,permeability,permittivity
m·a·Lₐ·ε·μ₀
em,mechanics
m²·a⁻²·Lₐ⁻²·ε⁻³·μ₀⁻³
m = k₀ · a·Lₐ·ε³ᐟ²·μ₀³ᐟ²
null
0
2
3
12
9.5
0
false
{"mass": "2", "acceleration": "-2", "ang_momentum": "-2", "permittivity": "-3", "permeability": "-3"}
5
acceleration,ang_momentum,conductivity,mass,permittivity
m·a·Lₐ·ε·σ
em,mechanics
m·a²·Lₐ⁻¹·ε³·σ⁻³
m = k₀ · a⁻²·Lₐ·ε⁻³·σ³
null
0
2
3
10
8.1
1.4
false
{"mass": "1", "acceleration": "2", "ang_momentum": "-1", "permittivity": "3", "conductivity": "-3"}