Difference between revisions of "Manuals/calci/COMPLEX"

Revision as of 06:05, 19 November 2013

COMPLEX(rn,in,sf)

COMPLEX function converts the real and imaginary coefficients into a complex number.
A complex number is a number is in the form $z=a+bi$ , where a and b are real numbers and $i$ is the imaginary unit. Where $i={\sqrt {-1}}$
In $COMPLEX(rn,in,sf)$ , here $rn$ is the real part of a complex number, $in$ is the imaginary part of a complex number and $sf$ is the imaginary unit of a complex number like $i$ or $j$ .
To mention $i$ and $j$ , we must use the lower case only
In a complex number $z$ real part is denoted by $Re(z)$ & imaginary part is denoted by $Im(z)$ .
COMPLEX returns the error value, when $rn$ and $in$ are non-numeric.
Suffix $sf$ should be either $i$ or $j$ , otherwise it shows error value.
A Complex number whose real part is zero is said to be purely imaginary.
A Complex number whose imaginary part is zero is a real number. In that cases we have to assign '0' for that part.
- $=COMPLEX(5,2)$ gives $5+2i$
- 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 =COMPLEX(5,2,"j")} gives $5+2j$

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 *COMPLEX function converts the real and imaginary coefficients into a complex number.
 *A complex number is a number is  in the form <math> z = a + bi</math>, where a and b are real numbers and <math>i</math> is the imaginary unit. Where <math>i=\sqrt{-1}</math>
-*In <math>COMPLEX(rn,in,sf)</math>, here <math>rn</math> is the real part of a complex number,<math>in</math> is the imaginary part of a complex number and <math>sf</math> is the imaginary unit of a complex number like <math>i</math> or <math>j</math>.
+*In <math>COMPLEX(rn,in,sf)</math>, here <math>rn</math> is the real part of a complex number, <math>in</math> is the imaginary part of a complex number and <math>sf</math> is the imaginary unit of a complex number like <math>i</math> or <math>j</math>.
 *To mention <math>i</math> and <math>j</math>, we must use the lower case only
 *In a complex number <math>z</math> real part is denoted by <math>Re(z)</math> & imaginary part is denoted by <math>Im(z)</math>.