Special functions overview (scipy.special) - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the special module from scipy.

SciPy

from scipy import [1]

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Aoptimize

Bintegrate

Cspecial

Dstats

Attempts:

3 left

💡 Hint

Common Mistakes

Importing the wrong scipy submodule like stats or optimize.

Forgetting to import scipy.special before using its functions.

The special module in scipy contains many special mathematical functions.

2fill in blank

medium

Complete the code to calculate the gamma function of 5 using scipy.special.

SciPy

result = special.[1](5)

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Aerf

Bgamma

Cbeta

Dzeta

Attempts:

3 left

💡 Hint

Common Mistakes

Using beta instead of gamma.

Confusing erf (error function) with gamma.

The gamma function generalizes factorial to real numbers. special.gamma(5) computes 4! = 24.

3fill in blank

hard

Fix the error in the code to compute the error function of 1.0.

SciPy

value = special.[1](1.0)

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Aerf

Bgamma

Cexp

Dlog

Attempts:

3 left

💡 Hint

Common Mistakes

Using gamma or exp instead of erf.

Trying to use math module functions instead of scipy.special.

The error function is erf in scipy.special. Using special.erf(1.0) returns the correct value.

4fill in blank

hard

Fill both blanks to create a dictionary of factorial values for numbers 1 to 5 using scipy.special.factorial.

SciPy

factorials = {n: special.[1](n, [2]=False) for n in range(1, 6)}

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Afactorial

Bexact

Cgamma

Dapproximate

Attempts:

3 left

💡 Hint

Common Mistakes

Using 'gamma' instead of 'factorial'.

Using a wrong parameter name like 'approximate'.

special.factorial computes factorials. Setting exact=False returns floats, but exact=True returns integers. Here, exact=False is used for float results.

5fill in blank

hard

Fill all three blanks to create a dictionary of squares of the Bessel function of the first kind for orders 0 to 2 at x=1.0.

SciPy

bessel_squares = {n: special.jv([1], [2])**2 for n in range([3])}

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An

B1.0

C3

D0

Attempts:

3 left

💡 Hint

Common Mistakes

Using a fixed order instead of 'n' in the loop.

Using wrong range length or x value.

special.jv(n, x) computes the Bessel function of the first kind of order n at x. Here, we square the values for orders 0,1,2 (range 3) at x=1.0.