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TEST R COURSE
course content

Course Content

TEST R COURSE

TEST R COURSE

1. Basic Syntax and Operations
Hello, R!Print?CommentsInteger Division and Remainders
2. Vectors
What is a Vector?NumbersComplex NumbersConverting

bookComplex 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:

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

Task

  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.

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

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Section 2. Chapter 3
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bookComplex 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:

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

Task

  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.

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

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Section 2. Chapter 3
toggle bottom row

bookComplex 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:

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

Task

  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.

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

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

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:

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

Task

  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.

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

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Section 2. Chapter 3
Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
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