Manuals/calci/IMREAL

IMREAL(Complexnumber)

• $Complexnumber$ is of the form $z=x+iy$

Description

• This function gives the real coefficient of the complex number.
• In $IMREAL(Complexnumber)$, Complexnumber is in the form of $z=x+iy$
• where $x$ & $y$ are the real numbers. $i$ imaginary unit. $i={\sqrt {-1}}$.
• The complex number $z=x+iy$ can be identified by $(x,y)$ 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.

ZOS Section

• 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

1. =IMREAL("3+4i") = 3
2. =IMREAL("-5+6i") = -5
3. =IMREAL("8") = 8
4. =IMREAL("-2i") = 0

See Also

• IMSUB
• IMSUM
• IMAGINARY
• COMPLEX

References

• Imaginary number
• Real number