**Mathematical Definition**

**Input Domain**

The function is usually evaluated on the hypercube xi ∈ [-5, 5], for all i = 1, 2.

**Global Minima**

f(x*)=0, at x* =(0, 0).

**Description**

The function is continuous.

The function is not convex.

The function is defined on 2-dimensional space.

The function is multimodal.

The function is differentiable.

The function is non-separable.

**Python Implementation**

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# Author: Dhanishtha Sharma*
import sympy
import math
from sympy import symbols
from sympy import *
from sympy.plotting import plot3d
import numpy as np
import matplotlib as mpl
import matplotlib.pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
#%matplotlib notebook
plt.rcParams['figure.figsize'] = (6,4)
plt.rcParams['figure.dpi']=150
fig=plt.figure()
ax=fig.add_subplot(111,projection='3d')
x1,x2=symbols('x1 x2')
plot3d((2*****(x1******2)**-**1.05*****(x1******4)**+**((x1******6)**/**6)**+**(x1*****x2)**+**(x2******2)),(x1,**-**5,5),(x2,**-**5,5))

**References:**

[1] Jamil, Momin, and Xin-She Yang. "A literature survey of benchmark functions for global optimization problems." *International Journal of Mathematical Modelling and Numerical Optimization* 4.2 (2013): 150-194.

## Comments