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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
copy

The output is:

python

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

Uppgift

Swipe to start coding

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

Lösning

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

Switch to desktopByt till skrivbordet för praktisk övningFortsätt där du är med ett av alternativen nedan
Var allt tydligt?

Hur kan vi förbättra det?

Tack för dina kommentarer!

Avsnitt 2. Kapitel 3

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book
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
copy

The output is:

python

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

Uppgift

Swipe to start coding

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

Lösning

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

Switch to desktopByt till skrivbordet för praktisk övningFortsätt där du är med ett av alternativen nedan
Var allt tydligt?

Hur kan vi förbättra det?

Tack för dina kommentarer!

Avsnitt 2. Kapitel 3
Switch to desktopByt till skrivbordet för praktisk övningFortsätt där du är med ett av alternativen nedan
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