Difference between revisions of "Manuals/calci/IMREAL"
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*This function gives the real coefficient of the complex number. | *This function gives the real coefficient of the complex number. | ||
*IMREAL(z), <math>z</math> is the complex number is in the form of <math>x+iy</math> | *IMREAL(z), <math>z</math> is the complex number is in the form of <math>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. | ||
| − | *Here <math>x</math> is called real part and < | + | *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 <math>z</math>. | *This function shows the value of the real part of <math>z</math>. | ||
*A complex is said to be purely imaginary when <math>x=0</math> and it is a real number when <math>y=0</math>. | *A complex is said to be purely imaginary when <math>x=0</math> and it is a real number when <math>y=0</math>. | ||
Revision as of 23:33, 23 December 2013
IMREAL(z)
- 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} is the complex number 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 x+iy}
Description
- This function gives the real coefficient of the complex number.
- IMREAL(z), 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} is the complex number 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 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. 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} 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.
Examples
- IMREAL("3+4i")=3
- IMREAL("-5+6i")=-5
- IMREAL("8")=8
- IMREAL("-2i")=0
See Also