Notice: This page requires JavaScript to function properly.
Please enable JavaScript in your browser settings or update your browser.Lære Complex Numbers | Vectors
TEST R COURSE

Sveip for å vise menyen

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.

Oppgave

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.

Løsning

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

Switch to desktopBytt til skrivebordet for virkelighetspraksisFortsett der du er med et av alternativene nedenfor
Alt var klart?

Hvordan kan vi forbedre det?

Takk for tilbakemeldingene dine!

Seksjon 2. Kapittel 3
Vi beklager at noe gikk galt. Hva skjedde?

Spør AI

expand
ChatGPT

Spør om hva du vil, eller prøv ett av de foreslåtte spørsmålene for å starte chatten vår

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.

Oppgave

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.

Løsning

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

Switch to desktopBytt til skrivebordet for virkelighetspraksisFortsett der du er med et av alternativene nedenfor
Alt var klart?

Hvordan kan vi forbedre det?

Takk for tilbakemeldingene dine!

Seksjon 2. Kapittel 3
Switch to desktopBytt til skrivebordet for virkelighetspraksisFortsett der du er med et av alternativene nedenfor
Vi beklager at noe gikk galt. Hva skjedde?
some-alt