Section 11: Calculating With Complex Numbers 129

Entering a Pure Imaginary Number

There is a shortcut for entering a pure imaginary number into the X-register when you are already in Complex mode: key in the (imaginary) number and press ´}

Example: Enter 0 + 10i (assuming the last function executed was not or `.

Keystrokes

Display

 

10

10

Keys 10 into the displayed

 

 

real X-register and zero into

 

 

the imaginary X-register.

´}

0.0000

Exchanges numbers in real

 

 

and imaginary X-registers.

Display again shows that the number in the real X- register is zero — as it should be for a pure imaginary number.

The operation of the real and imaginary stacks during this process is illustrated below. (Assume the stack registers contain the numbers resulting from the preceding examples.)

 

Re

Im

 

Re

Im

 

Re

Im

T

e

f

 

e

f

 

e

f

 

 

 

 

 

 

 

 

 

 

 

Z

17

144

 

17

144

 

17

144

 

 

 

 

 

 

 

 

 

 

 

Y

4

0

 

4

0

 

4

0

 

 

 

 

 

 

 

 

 

 

 

X

4

0

 

10

0

 

0

10

 

Keys:

 

 

 

 

 

 

 

 

 

 

 

10

 

´} (Continue with

 

 

 

 

 

 

 

 

any operation.)

Note that pressing ´ } simply exchanges the numbers in the real and imaginary X-registersand not those in the remaining stack registers.