Manuals/calci/IMABS

IMABS(ComplexNumber)

• $ComplexNumber$ is of the form $x+iy$

Description

• This function gives the absolute value of a complex number of the form $x+iy$.
• Complex number $z=x+iy$, where $x$ & $y$ are real numbers and $i$ is the imaginary unit $i={\sqrt {-1}}$.
• A complex number's absolute value is measured from zero on the complex number plane.
• We can use COMPLEX function to convert real and imaginary number into a complex number.
• The absolute value of a complex number is: $IMABS(z)=|z|={\sqrt {x^{2}+y^{2}}}$

ZOS Section

• The syntax is to calculate IMABS in ZOS is $IMABS(ComplexNumber)$.
  • $ComplexNumber$ is of the form $x+iy$.
  • For e.g.,IMABS("5-7i")+IMABS("6+4i")

Absolute Value of Imaginary Number

Examples

• IMABS("6+8i") = ${\sqrt {6^{2}+8^{2}}}$ = 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 \sqrt{100}} = 10
• IMABS("5-7i") = 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 \sqrt{74}} = 8.60232
• IMABS("-3-5i")= 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 \sqrt{34}} = 5.83095

See Also

• ABS
• COMPLEX

References

Absolute Value