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:
def wordsOfFreqency(words, freq):
text1 = "Apple apPLE mangO aPple orange Orange apple guava Mango mango"
words = []
words1 = []
words1 = text1.split()
words = [x.upper() for x in words1]
freq=[words.count(w) for w in words]
print(dict(zip(freq,words)))
return words
def main():
wordsOfFreqency(words, freq)
if __name__=="__main__":
main() # call main function
Explanation:
This will print the list of strings as per its word frequency.
Output is :
{4: 'APPLE', 3: 'MANGO', 2: 'ORANGE', 1: 'GUAVA'}
Answer:
FULL neighbor state.
(FULL/DR or FULL/BDR)
Explanation:
The fact that the routers are neighbors is not enough to guarantee an exchange of link status updates; they must form adjacencies to exchange link status updates. Adjacency is the next step after the process of establishing neighbors. Adjacent routers are routers that go beyond a simple Greeting exchange and act in the database exchange process. To reduce the amount of information exchange in a given segment, OSPF selects a router as a designated router (DR) and a router as a designated backup router (BDR) in each multiple access segment. The BDR is chosen as the backup mechanism in case the DR fails. The idea behind this is that routers have a central point of contact for the exchange of information. In order to verify if two routers have established an adjacency, you can use the command: show ip ospf neighbor.
Here is an example:
R1#show ip ospf neighbor
Neighbor ID Pri State Dead Time Address Interface
203.250.12.1 1 2WAY/DROTHER 0:00:37 203.250.14.3 Ethernet0
203.250.15.1 1 FULL/DR 0:00:36 203.250.14.2 Ethernet0
203.250.13.41 1 FULL/BDR 0:00:34 203.250.14.1 Ethernet0
