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. | ||
| − | *In <math>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>. | * 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 <math>(x,y)</math> in the complex plane. | *The complex number <math>z= x+iy</math> can be identified by <math>(x,y)</math> in the complex plane. | ||
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==ZOS== | ==ZOS== | ||
| − | *The syntax is to calculate real coefficient of the complex number in ZOS is <math>IMREAL( | + | *The syntax is to calculate real coefficient of the complex number in ZOS is <math>IMREAL(ComplexNumber)</math>. |
| − | **<math> | + | **<math>ComplexNumber</math> is of the form <math>z=x+iy</math>. |
*For e.g.,IMREAL(IMSUM("2+3i","1-9i")) | *For e.g.,IMREAL(IMSUM("2+3i","1-9i")) | ||
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*[http://en.wikipedia.org/wiki/Imaginary_number Imaginary number] | *[http://en.wikipedia.org/wiki/Imaginary_number Imaginary number] | ||
*[http://en.wikipedia.org/wiki/Real_number Real number] | *[http://en.wikipedia.org/wiki/Real_number Real number] | ||
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| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
Latest revision as of 14:34, 18 July 2018
IMREAL (ComplexNumber)
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ComplexNumber}
is of the form Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z=x+iy}
.
- IMREAL(),returns the real coefficient of a complex number.
Description
- This function gives the real coefficient of the complex number.
- In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IMREAL(ComplexNumber)} , ComplexNumber is in the form of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z=x+iy}
- where Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} & Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} are the real numbers. imaginary unit. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}} .
- The complex number Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z= x+iy} can be identified by Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (x,y)} in the complex plane.
- Here Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x} is called real part and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} is the imaginary part of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z} .
- This function shows the value of the real part of Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z} .
- A complex is said to be purely imaginary when Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x=0} and it is a real number when Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=0} .
- We can use COMPLEX function to convert real and imaginary number in to a complex number.
imaginary unit. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle i=\sqrt{-1}}
.ZOS
- The syntax is to calculate real coefficient of the complex number in ZOS is Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle IMREAL(ComplexNumber)}
.
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ComplexNumber} is of the form Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z=x+iy} .
- 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