Manuals/calci/IMPRODUCT

IMPRODUCT(Complexnumber1,Complexnumber2)

Description

This function gives the product of the complex numbers.
In $IMPRODUCT(Complexnumber1,Complexnumber2)$ , where Complexnumbers are in the form of $z=a+ib$ .
where $a$ & $b$ are the real numbers. $i$ is the imaginary unit . $i={\sqrt {-1}}$ .
In CALCI we can find the product of 2 to 29 Complex numbers.
The multiplication of two complex numbers is a complex number.
Let $z1=a+ib$ and $z2=c+id$ .
Then the product of two complex number is $z1.z2=(a+ib)(c+id)=(ac-bd)+(ad+bc)i$ .
In this function $z1$ is required. $z2,z3,...$ are optional.
We can use COMPLEX function to convert real and imaginary number in to a complex number.

The syntax is to calculate product of the complex numbers in ZOS is
- $Complexnumbers$ are of the form $z=a+ib$
For e.g., improduct("2+3i","4+5i","8+7i","10-14i")

Improduct

=IMPRODUCT("1+3i","5+2i") = -1+17i
=IMPRODUCT("i","3-i") = 1+3i
=IMPRODUCT("5","-2+4i") = -10+20i
=IMPRODUCT("2+3i","4+6i","3+5i") = -150+22i
=IMPRODUCT("-6-2i","-1-i") = 4+8i