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.
123compl = 5 - 3i # Creating complex number compl # Output the number typeof(compl) # Output its type
The output is:
[1] 5-3i
[1] "complex"
You can perform arithmetic operations learned before with all the number types we have learned in this section.
Swipe to start coding
- Create
integernumber20assigned to variablenum. - Create a
complexnumber with real part10and imaginary-5assigned to variablecompl. - Perform the addition of
numandcomplassigned to variableres. - Output the type of
res.
Solution
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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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.
123compl = 5 - 3i # Creating complex number compl # Output the number typeof(compl) # Output its type
The output is:
[1] 5-3i
[1] "complex"
You can perform arithmetic operations learned before with all the number types we have learned in this section.
Swipe to start coding
- Create
integernumber20assigned to variablenum. - Create a
complexnumber with real part10and imaginary-5assigned to variablecompl. - Perform the addition of
numandcomplassigned to variableres. - Output the type of
res.
Solution
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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