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.
I’m sorry and I do not know I just need credits thank have a nice day
Usually you can just report the question as useless or just report in in general. But I myself have read some answers and they dont even pertain to the question, it confuses me alot
Answer:
Basically, dealing with the "software crisis" is what we now call software engineering. We just see the field more clearly now.
What this crisis was all about is that in the early days of the modern technological era -- in the 1950s, say -- there was tremendous optimism about the effect that digital computers could have on society, on their ability to literally solve humanity's problems. We just needed to formalize important questions and let our hulking "digital brains" come up with the answers.
Artificial intelligence, for example, had some early successes in easy to formalize domains like chess and these sorts of successes led to lots of people who should have known better making extremely naive predictions about how soon perfect machine translation would transform human interaction and how soon rote and onerous work would be relegated to the dustbin of history by autonomous intelligent machines.
Answer:
It enables and allows to stay people in touch with other globally.
Explanation:
