Difference between revisions of "Manuals/calci/IMREAL"
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| − | <div style="font-size:30px">'''IMREAL( | + | <div style="font-size:30px">'''IMREAL (ComplexNumber)'''</div><br/> |
| − | *<math> | + | *<math>ComplexNumber</math> is of the form <math>z=x+iy</math>. |
| + | **IMREAL(),returns the real coefficient of a complex number. | ||
==Description== | ==Description== | ||
*This function gives the real coefficient of the complex number. | *This function gives the real coefficient of the complex number. | ||
| − | *IMREAL( | + | *In <math>IMREAL(ComplexNumber)</math>, ComplexNumber is in the form of <math>z=x+iy</math> |
| − | * | + | * where <math>x</math> & <math>y</math> are the real numbers. <math>i</math> imaginary unit. <math>i=\sqrt{-1}</math>. |
| − | *The complex number <math>z= x+iy</math> can be identified by (x,y) in the complex plane. | + | *The complex number <math>z= x+iy</math> can be identified by <math>(x,y)</math> in the complex plane. |
| − | *Here x is called real part and y is the imaginary part of z. | + | *Here <math>x</math> is called real part and <math>y</math> is the imaginary part of <math>z</math>. |
| − | *This function shows the value of the real part of z. | + | *This function shows the value of the real part of <math>z</math>. |
| − | *A complex is said to be purely imaginary when x=0 and it is a real number when y=0. | + | *A complex is said to be purely imaginary when <math>x=0</math> and it is a real number when <math>y=0</math>. |
| − | *We can use COMPLEX function to convert | + | *We can use [[Manuals/calci/COMPLEX| COMPLEX]] function to convert real and imaginary number in to a complex number. |
| + | |||
| + | ==ZOS== | ||
| + | *The syntax is to calculate real coefficient of the complex number in ZOS is <math>IMREAL(ComplexNumber)</math>. | ||
| + | **<math>ComplexNumber</math> is of the form <math>z=x+iy</math>. | ||
| + | *For e.g.,IMREAL(IMSUM("2+3i","1-9i")) | ||
==Examples== | ==Examples== | ||
| − | #IMREAL("3+4i")=3 | + | #=IMREAL("3+4i") = 3 |
| − | #IMREAL("-5+6i")=-5 | + | #=IMREAL("-5+6i") = -5 |
| − | #IMREAL("8")=8 | + | #=IMREAL("8") = 8 |
| − | #IMREAL("-2i")=0 | + | #=IMREAL("-2i") = 0 |
| + | |||
| + | ==Related Videos== | ||
| + | {{#ev:youtube|A_ESfuN1Pkg|280|center|IMREAL}} | ||
==See Also== | ==See Also== | ||
| Line 25: | Line 34: | ||
*[[Manuals/calci/IMAGINARY | IMAGINARY ]] | *[[Manuals/calci/IMAGINARY | IMAGINARY ]] | ||
*[[Manuals/calci/COMPLEX | COMPLEX ]] | *[[Manuals/calci/COMPLEX | COMPLEX ]] | ||
| + | |||
| + | ==References== | ||
| + | *[http://en.wikipedia.org/wiki/Imaginary_number Imaginary number] | ||
| + | *[http://en.wikipedia.org/wiki/Real_number Real number] | ||
| − | + | ||
| − | [ | + | *[[Z_API_Functions | List of Main Z Functions]] |
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 14:34, 18 July 2018
IMREAL (ComplexNumber)
- is of the form .
- IMREAL(),returns the real coefficient of a complex number.
is of the form 
.
Description
- This function gives the real coefficient of the complex number.
- In , ComplexNumber is in the form of
- where & are the real numbers. imaginary unit. .
- The complex number can be identified by in the complex plane.
- Here is called real part and is the imaginary part of .
- This function shows the value of the real part of .
- A complex is said to be purely imaginary when and it is a real number when .
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
, ComplexNumber is in the form of 
& 
are the real numbers. 
imaginary unit. 
.
in the complex plane.
.
and it is a real number when 
.ZOS
- The syntax is to calculate real coefficient of the complex number in ZOS is .
- is of the form .
- For e.g.,IMREAL(IMSUM("2+3i","1-9i"))
Examples
- =IMREAL("3+4i") = 3
- =IMREAL("-5+6i") = -5
- =IMREAL("8") = 8
- =IMREAL("-2i") = 0
Related Videos
See Also
References