Bessel functions in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the Bessel function jv from scipy.special.

SciPy

from scipy.special import [1]

result = jv(0, 1.0)
print(result)

Drag options to blanks, or click blank then click option'

Ayv

Bjn

Civ

Djv

Attempts:

3 left

💡 Hint

Common Mistakes

Importing the wrong Bessel function like jn or yv.

Forgetting to import from scipy.special.

The function jv computes the Bessel function of the first kind of real order.

2fill in blank

medium

Complete the code to compute the Bessel function of order 1 at x=2.5.

SciPy

from scipy.special import jv

value = jv([1], 2.5)
print(value)

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A2

B-1

C1

D0

Attempts:

3 left

💡 Hint

Common Mistakes

Using 0 instead of 1 for the order.

Confusing the order with the value of x.

The order of the Bessel function is the first argument to jv. Here, order 1 means the first argument is 1.

3fill in blank

hard

Fix the error in the code to compute the modified Bessel function of the first kind I_0 at x=3.0.

SciPy

from scipy.special import iv

result = iv([1], 3.0)
print(result)

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A0

B1

C-1

D2

Attempts:

3 left

💡 Hint

Common Mistakes

Using order 1 instead of 0.

Confusing the function iv with jv.

The modified Bessel function of the first kind iv takes the order as the first argument. For I_0, the order is 0.

4fill in blank

hard

Fill both blanks to create a dictionary of Bessel function values for orders 0 to 2 at x=1.5.

SciPy

from scipy.special import jv

values = {n: jv([1], 1.5) for n in range([2])}
print(values)

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An

B3

C2

D1

Attempts:

3 left

💡 Hint

Common Mistakes

Using a fixed order instead of the loop variable.

Using range(2) which excludes order 2.

The dictionary comprehension uses n as the order and range(3) to get orders 0, 1, and 2.

5fill in blank

hard

Fill all three blanks to create a list of modified Bessel function values I_n(x) for n=0 to 4 at x=2.0.

SciPy

from scipy.special import iv

values = [iv([1], [2]) for [3] in range(5)]
print(values)

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An

B2.0

Dx

Attempts:

3 left

💡 Hint

Common Mistakes

Using a wrong variable name for the loop.

Using the wrong x value.

The list comprehension uses n as the order, 2.0 as the x value, and n as the loop variable.