Answer:
import numpy as np
import matplotlib.pyplot as plt
def calculate_pi(x,y):
points_in_circle=0
for i in range(len(x)):
if np.sqrt(x[i]**2+y[i]**2)<=1:
points_in_circle+=1
pi_value=4*points_in_circle/len(x)
return pi_value
length=np.power(10,6)
x=np.random.rand(length)
y=np.random.rand(length)
pi=np.zeros(7)
sample_size=np.zeros(7)
for i in range(len(pi)):
xs=x[:np.power(10,i)]
ys=y[:np.power(10,i)]
sample_size[i]=len(xs)
pi_value=calculate_pi(xs,ys)
pi[i]=pi_value
print("The value of pi at different sample size is")
print(pi)
plt.plot(sample_size,np.abs(pi-np.pi))
plt.xscale('log')
plt.yscale('log')
plt.xlabel('sample size')
plt.ylabel('absolute error')
plt.title('Error Vs Sample Size')
plt.show()
Explanation:
The python program gets the sample size of circles and the areas and returns a plot of one against the other as a line plot. The numpy package is used to mathematically create the circle samples as a series of random numbers while matplotlib's pyplot is used to plot for the visual statistics of the features of the samples.
Answer:
Deny
Explanation:
Under the New Technology System, the Deny permission is applied when the administrator wants to overrule the permission given to members of a group. The Allow and Deny options help in regulating access to the components of the system. Only authorized groups are granted access to the files.
Most times, the Deny permission is considered before the Allow permission. If the user is denied access to some files and granted access to some, the deny permission is most times considered first.
Answer:
n! = n*(n-1)*(n-2)*(n-3)* ... *2*1
Explanation:
The factorial operator is simply a mathematical expression of the product of a stated integer and all integers below that number down to 1. Consider these following examples:
4! = 4 * 3 * 2 * 1
4! = 12 * 2 * 1
4! = 24
6! = 6 * 5 * 4 * 3 * 2 * 1
6! = 30 * 4 * 3 * 2 * 1
6! = 120 * 3 * 2 * 1
6! = 360 * 2 * 1
6! = 720
So, the factorial of n would follow the same as such:
n! = n * (n-1) * (n-2) * ... * 2 * 1
Cheers.
Answer:
In media production, a key frame or keyframe is a location on a timeline which marks the beginning or end of a transition. It holds special information that defines where a transition should start or stop. The intermediate frames are interpolated over time between those definitions to create the illusion of motion.
Explanation:
