Difference between revisions of "Manuals/calci/IMAGINARY"
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| − | <div style="font-size:30px">'''IMAGINARY( | + | <div style="font-size:30px">'''IMAGINARY(ComplexNumber)'''</div><br/> |
| − | *<math> | + | *<math>ComplexNumber</math> is of the form <math>x+iy</math>. |
| + | **IMAGINARY(), returns the imaginary coefficient of a complex number | ||
| + | |||
==Description== | ==Description== | ||
| + | |||
*This function gives the imaginary coefficient of a complex number. | *This function gives the imaginary coefficient of a complex number. | ||
| + | *Complex number is a combination of real and an imaginary number. | ||
*Imaginary number is a real number which is multiplied with the imaginary unit <math>i</math>, where <math>i=\sqrt{-1}</math>. | *Imaginary number is a real number which is multiplied with the imaginary unit <math>i</math>, where <math>i=\sqrt{-1}</math>. | ||
*When imaginary number <math>bi</math> is get adding to the real number <math>a</math>, then it forms a complex number. | *When imaginary number <math>bi</math> is get adding to the real number <math>a</math>, then it forms a complex number. | ||
*Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>. | *Also when we are squaring the imaginary number <math>bi</math>, it will give the negative real number <math>{-b}^2</math>. | ||
| − | *For eg <math>(5i)^2=-25</math>. We can use [[Manuals/calci/COMPLEX | COMPLEX]]function to convert the real and imaginary coefficients to a complex number. | + | *For eg <math>(5i)^2=-25</math>. |
| + | *We can use [[Manuals/calci/COMPLEX | COMPLEX]] function to convert the real and imaginary coefficients to a complex number. | ||
*A complex number is a imaginary number when the real part is zero. | *A complex number is a imaginary number when the real part is zero. | ||
| + | |||
| + | ==ZOS== | ||
| + | |||
| + | *The syntax is to calculate IMAGINARY in ZOS Section is <math>IMAGINARY(ComplexNumber)</math>. | ||
| + | **<math>ComplexNumber</math> is of the form <math>x+iy</math>. | ||
| + | *For e.g.,IMAGINARY("6-0.5i") | ||
| + | {{#ev:youtube|Ijhl4ekADac|280|center|Imaginary}} | ||
==Examples== | ==Examples== | ||
| − | + | ||
| − | + | #=IMAGINARY("2+3i")=3 | |
| − | + | #=IMAGINARY("4-5i")=-5 | |
| − | + | #=IMAGINARY("3j")=3 | |
| + | #=IMAGINARY("7")=0 | ||
| + | |||
| + | ==Related Videos== | ||
| + | |||
| + | {{#ev:youtube|SP-YJe7Vldo|280|center|Complex Numbers}} | ||
==See Also== | ==See Also== | ||
| + | |||
*[[Manuals/calci/COMPLEX | COMPLEX ]] | *[[Manuals/calci/COMPLEX | COMPLEX ]] | ||
*[[Manuals/calci/IMREAL | IMREAL ]] | *[[Manuals/calci/IMREAL | IMREAL ]] | ||
==References== | ==References== | ||
| − | [http://en.wikipedia.org/wiki/Imaginary_number | + | [http://en.wikipedia.org/wiki/Imaginary_number Imaginary Number] |
| + | |||
| + | |||
| + | |||
| + | |||
| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 14:44, 19 July 2018
IMAGINARY(ComplexNumber)
- is of the form .
- IMAGINARY(), returns the imaginary coefficient of a complex number
is of the form 
.
Description
- This function gives the imaginary coefficient of a complex number.
- Complex number is a combination of real and an imaginary number.
- Imaginary number is a real number which is multiplied with the imaginary unit , where .
- When imaginary number is get adding to the real number , then it forms a complex number.
- Also when we are squaring the imaginary number , it will give the negative real number .
- For eg .
- We can use COMPLEX function to convert the real and imaginary coefficients to a complex number.
- A complex number is a imaginary number when the real part is zero.
, where 
.
is get adding to the real number 
, then it forms a complex number.
.
.ZOS
- The syntax is to calculate IMAGINARY in ZOS Section is .
- is of the form .
- For e.g.,IMAGINARY("6-0.5i")
.
Examples
- =IMAGINARY("2+3i")=3
- =IMAGINARY("4-5i")=-5
- =IMAGINARY("3j")=3
- =IMAGINARY("7")=0
Related Videos
See Also
References