```python
from sympy import *

a, k, m = symbols('a k m')

x = IndexedBase('x')
i = Idx('i')

u = Piecewise(
(k*(x[i]-a)**m, Gt(x[a],a)),
(0, And(Ge(x[i],-a), Le(x[i],a))),
    (k*(-x[i]-a)**m, Lt(x[i],-a))
)

u

Sum(u, (i,1,3)).doit()
```




$\displaystyle \begin{cases} k \left(- a + {x}_{1}\right)^{m} & \text{for}\: a < {x}_{a} \\0 & \text{for}\: a \geq - {x}_{1} \wedge a \geq {x}_{1} \\k \left(- a - {x}_{1}\right)^{m} & \text{for}\: a < - {x}_{1} \end{cases} + \begin{cases} k \left(- a + {x}_{2}\right)^{m} & \text{for}\: a < {x}_{a} \\0 & \text{for}\: a \geq - {x}_{2} \wedge a \geq {x}_{2} \\k \left(- a - {x}_{2}\right)^{m} & \text{for}\: a < - {x}_{2} \end{cases} + \begin{cases} k \left(- a + {x}_{3}\right)^{m} & \text{for}\: a < {x}_{a} \\0 & \text{for}\: a \geq - {x}_{3} \wedge a \geq {x}_{3} \\k \left(- a - {x}_{3}\right)^{m} & \text{for}\: a < - {x}_{3} \end{cases}$




```python

```

26a62bbf5a648f628fee3442ad25592de4bf8549
ipynb
Jupyter Notebook
zoo/Untitled2.ipynb
jmnel/simulated-annealing
1b50e172eed35f85f7278db1778b88d428ecf5ea
MIT
zoo/Untitled2.ipynb
jmnel/simulated-annealing
1b50e172eed35f85f7278db1778b88d428ecf5ea
MIT
zoo/Untitled2.ipynb
jmnel/simulated-annealing
1b50e172eed35f85f7278db1778b88d428ecf5ea
MIT
Qwen/Qwen-72B
1. YES
2. YES