262
T
T
h
h
e
e
‘
‘
C
C
o
o
m
m
p
p
l
l
e
e
x
x
’
’
g
g
r
r
o
o
u
u
p
p
o
o
f
f
f
f
u
u
n
n
c
c
t
t
i
i
o
o
n
n
s
s
Complex numbers on the hp 39g+ can be entered in either of two ways.
Firstly, in the same way as they are commonly written in mathematical
workings:
a + bi
. Secondly, as an ordered pair:
(a,b).
For example,
3 2
i
+
could be entered into the
calculator exactly as it is written, with the ‘
i
’
obtained using the
ALPHA
key, pressing the
SHIFT
key first to get a lowercase
i
.
Alternatively you can enter it directly as an
ordered pair.
As soon as you press
ENTER
, the calculator immediately converts the
a + bi
form into an ordered pair. The History retains the original in case you need
to
it later for re-use.
The exception is when you enter a complex
number in rcis form using the (angle) sign on
the keyboard. When you do this the calculator
converts to a more explicit rcis format as
shown right. Try it.
Complex numbers can be used with all trigonometric and hyperbolic function,
as well as with matrices, lists and some real-number and keyboard functions.
Just as real numbers can be stored into the
alphabetic memories A to Z, there are 10
special memories
Z1,Z2..Z9,Z0
which are
provided to store complex numbers.
