AidanRocke

using Distributions
using Statistics

function monotone_approx(N::Int64,n_trials::Int64,n::Int64)

	"""
		inputs:
			N: the range of U([-N,N])
			n_trials: the number of times we generate random vectors
			n: the 'dimension' of the random vector

AidanRocke

import autograd.numpy as np
from autograd import grad

def U(x):
    
    """
    definition of the symmetric potential function
    """
    
    return (x-50.0)**2