Let the function f(x, y) = Vx - Vy. Fix y = 1 and let x = 1+ 8, & small but greater than machine e. • Show that P f(x, y) 2 . 2+ 8 • Write code to plot f(x, y) versus 8. Let 8 range from single precision epsilon to double precision epsilon. Also plot the upper and lower bounds from the first part. • Come up with a different arithmetic set of operations that gives you the same f(x, y) but is more accurate. Plot this function for the same range of 8. In [1): #To get you started! import numpy as np import matplotlib.pyplot as plt def f(x, y): #simple python function return np.sqrt (x) -np. sqrt (y) N-np.arange (-52,-22) print (N) #Note where N stops! delta-np.power (2.0,N) #The 2.0 is needed, try without! print (delta) fxy=f (1+delta, 1) #Why does this work? [-52 -51 -50 -49 -48 -47 -46 -45 -44 -43 -42 -41 -40 -39 -38 -37 -36 -35 -34 -33 -32 -31 -30 -29 -28 -27 -26 -25 -24 -23) [2.22044605e-16 4.44089210e-16 8.88178420e-16 1.77635684e-15 3.55271368e-15 7.10542736e-15 1.42108547e-14 2.84217094e-14 5.68434189e-14 1.13686838e-13 2.27373675e-13 4.54747351e-13 9.09494702e-13 1.81898940e-12 3.63797881e-12 7.27595761e-12 1.45519152e-11 2.91038305e-11 5.82076609e-11 1.16415322e-10 2.32830644e-10 4.65661287e-10 9.31322575e-10 1.86264515e-09 3.72529030e-09 7.45058060e-09 1.49011612e-08 2.98023224e-08 5.96046448e-08 1.19209290e-07] In [1): plt.plot (delta, fxy) NameError in cmodule> ----> 1 plt.plot (delta, fxy) Traceback (most recent call last) NameError: name 'plt' is not defined
Let the function f(x, y) = Vx - Vy. Fix y = 1 and let x = 1+ 8, & small but greater than machine e. • Show that P f(x, y) 2 . 2+ 8 • Write code to plot f(x, y) versus 8. Let 8 range from single precision epsilon to double precision epsilon. Also plot the upper and lower bounds from the first part. • Come up with a different arithmetic set of operations that gives you the same f(x, y) but is more accurate. Plot this function for the same range of 8. In [1): #To get you started! import numpy as np import matplotlib.pyplot as plt def f(x, y): #simple python function return np.sqrt (x) -np. sqrt (y) N-np.arange (-52,-22) print (N) #Note where N stops! delta-np.power (2.0,N) #The 2.0 is needed, try without! print (delta) fxy=f (1+delta, 1) #Why does this work? [-52 -51 -50 -49 -48 -47 -46 -45 -44 -43 -42 -41 -40 -39 -38 -37 -36 -35 -34 -33 -32 -31 -30 -29 -28 -27 -26 -25 -24 -23) [2.22044605e-16 4.44089210e-16 8.88178420e-16 1.77635684e-15 3.55271368e-15 7.10542736e-15 1.42108547e-14 2.84217094e-14 5.68434189e-14 1.13686838e-13 2.27373675e-13 4.54747351e-13 9.09494702e-13 1.81898940e-12 3.63797881e-12 7.27595761e-12 1.45519152e-11 2.91038305e-11 5.82076609e-11 1.16415322e-10 2.32830644e-10 4.65661287e-10 9.31322575e-10 1.86264515e-09 3.72529030e-09 7.45058060e-09 1.49011612e-08 2.98023224e-08 5.96046448e-08 1.19209290e-07] In [1): plt.plot (delta, fxy) NameError in cmodule> ----> 1 plt.plot (delta, fxy) Traceback (most recent call last) NameError: name 'plt' is not defined
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
Related questions
Question
![Let the function f(x, y) = Vx - Vy.
Fix y = 1 and let x = 1+ 8,, & small but greater than machine e.
• Show that
P S(x, y) >
• Write code to plot f(x, y) versus 8. Let & range from single precision epsilon to double precision epsilon. Also plot the upper and lower bounds from the
first part.
• Come up with a different arithmetic set of operations that gives you the same f(x, y) but is more accurate. Plot this function for the same range of 8.
In [1): #To get you started!
import numpy as np
import matplotlib.pyplot as plt
def f(x, y) :
#simple python function
return np.sqrt (x) -np. sqrt (y)
N=np.arange (-52,-22)
print (N) #Note where N stops!
delta-np.power (2.0, N) #The 2.0 is needed, try without!
print (delta)
fxy=f (1+delta, 1) #Why does this work?
[-52 -51 -50 -49 -48 -47 -46 -45 -44 -43 -42 -41 -40 -39 -38 -37 -36 -35
-34 -33 -32 -31 -30 -29 -28 -27 -26 -25 -24 -23]
[2.22044605e-16 4.44089210e-16 8.88178420e-16 1.77635684e-15
3.55271368e-15 7.10542736e-15 1.42108547e-14 2.84217094e-14
5.68434189e-14 1.13686838e-13 2.27373675e-13 4.54747351e-13
9.09494702e-13 1.81898940e-12 3.63797881e-12 7.27595761e-12
1.45519152e-11 2.91038305e-11 5.82076609e-11 1.16415322e-10
2.32830644e-10 4.65661287e-10 9.31322575e-10 1.86264515e-09
3.72529030e-09 7.45058060e-09 1.49011612e-08 2.98023224e-0s
5.96046448e-08 1.19209290e-07]
In [1]: plt.plot (delta, fxy)
NameError
Traceback (most recent call last)
<ipython-input-1-055c5392£257> in cmodule>
---->
plt.plot (delta, fxy)
NameError: name 'plt' is not defined](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F751617e5-f98e-4256-8600-3732f0b4dd62%2Fe1046ce0-e3fa-40c6-bf23-56f9f7772795%2Fwaywngt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let the function f(x, y) = Vx - Vy.
Fix y = 1 and let x = 1+ 8,, & small but greater than machine e.
• Show that
P S(x, y) >
• Write code to plot f(x, y) versus 8. Let & range from single precision epsilon to double precision epsilon. Also plot the upper and lower bounds from the
first part.
• Come up with a different arithmetic set of operations that gives you the same f(x, y) but is more accurate. Plot this function for the same range of 8.
In [1): #To get you started!
import numpy as np
import matplotlib.pyplot as plt
def f(x, y) :
#simple python function
return np.sqrt (x) -np. sqrt (y)
N=np.arange (-52,-22)
print (N) #Note where N stops!
delta-np.power (2.0, N) #The 2.0 is needed, try without!
print (delta)
fxy=f (1+delta, 1) #Why does this work?
[-52 -51 -50 -49 -48 -47 -46 -45 -44 -43 -42 -41 -40 -39 -38 -37 -36 -35
-34 -33 -32 -31 -30 -29 -28 -27 -26 -25 -24 -23]
[2.22044605e-16 4.44089210e-16 8.88178420e-16 1.77635684e-15
3.55271368e-15 7.10542736e-15 1.42108547e-14 2.84217094e-14
5.68434189e-14 1.13686838e-13 2.27373675e-13 4.54747351e-13
9.09494702e-13 1.81898940e-12 3.63797881e-12 7.27595761e-12
1.45519152e-11 2.91038305e-11 5.82076609e-11 1.16415322e-10
2.32830644e-10 4.65661287e-10 9.31322575e-10 1.86264515e-09
3.72529030e-09 7.45058060e-09 1.49011612e-08 2.98023224e-0s
5.96046448e-08 1.19209290e-07]
In [1]: plt.plot (delta, fxy)
NameError
Traceback (most recent call last)
<ipython-input-1-055c5392£257> in cmodule>
---->
plt.plot (delta, fxy)
NameError: name 'plt' is not defined
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