HP 33s Scientific Operations with Complex Numbers, Complex Stack, + iy, To enter a complex number

9

Operations with

Complex Numbers

The HP 33s can use complex numbers in the form

x + iy.

It has operations for complex arithmetic (+, –, ⋅, ⎟), complex trigonometry (sin, cos, tan), and the mathematics functions –z, 1/z, z1z2 , ln z, and e z. (where z1 and z2 are complex numbers).

￿To enter a complex number:

1.Type the imaginary part.

2.Press ‘.

3.Type the real part.

Complex numbers in the HP 33s are handled by entering each part (imaginary and real) of a complex number as a separate entry. To enter two complex numbers, you enter four separate numbers. To do a complex operation, press {G before the operator. For example, to do

(2 + i 4) + (3 + i 5),

press 4 ‘2 ‘5 ‘3 {G›.

The result is 5 + i 9. (The first line is the imaginary and the second is the real part.)

The Complex Stack

In RPN mode, the complex stack is really the regular memory stack split into two double registers for holding two complex numbers, z1x + i z1y and z2x + i z2y:

Operations with Complex Numbers 9–1