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Complex Numbers

Complex numbers are related to calculus and advanced math and widely used in quantum mechanics, signals processing, and physics.

Since this course aims to teach R basics, we will not dig deep into this subject but only consider this as one of the numerical types. Each complex number consists of real (let it be a) and imaginary (let it be b). Then the expression a+bi is called a complex number. i - is an imaginary unit such that i^2 = -1.

To create such a number in R, use the same denotation as above: a + bi. For example, we can create a complex number with the real part 5 and the imaginary part -3.


              123
            
compl = 5 - 3i # Creating complex number
compl # Output the number
typeof(compl) # Output its type

The output is:


python

You can perform arithmetic operations learned before with all the number types we have learned in this section.

Tehtävä

Swipe to start coding

Create integer number 20 assigned to variable num.
Create a complex number with real part 10 and imaginary -5 assigned to variable compl.
Perform the addition of num and compl assigned to variable res.
Output the type of res.

Ratkaisu

The result has a "complex" type since the complex numbers are an extension field of the real numbers (and integers, respectively).

Vaihda työpöytään todellista harjoitusta vartenJatka siitä, missä olet käyttämällä jotakin alla olevista vaihtoehdoista

Oliko kaikki selvää?

Kiitos palautteestasi!

Osio 2. Luku 3

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Complex Numbers

Complex numbers are related to calculus and advanced math and widely used in quantum mechanics, signals processing, and physics.

To create such a number in R, use the same denotation as above: a + bi. For example, we can create a complex number with the real part 5 and the imaginary part -3.


              123
            
compl = 5 - 3i # Creating complex number
compl # Output the number
typeof(compl) # Output its type

The output is:


python

You can perform arithmetic operations learned before with all the number types we have learned in this section.

Tehtävä

Swipe to start coding

Create integer number 20 assigned to variable num.
Create a complex number with real part 10 and imaginary -5 assigned to variable compl.
Perform the addition of num and compl assigned to variable res.
Output the type of res.

Ratkaisu

The result has a "complex" type since the complex numbers are an extension field of the real numbers (and integers, respectively).

Vaihda työpöytään todellista harjoitusta vartenJatka siitä, missä olet käyttämällä jotakin alla olevista vaihtoehdoista

Oliko kaikki selvää?

Kiitos palautteestasi!

Osio 2. Luku 3

Vaihda työpöytään todellista harjoitusta vartenJatka siitä, missä olet käyttämällä jotakin alla olevista vaihtoehdoista