Complex Calculations - HP RPN SCIENTIFIC WP 34S Owner's Manual

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If you just want to do vector operations in 2D, there are simple alternatives (known for
long from earlier calculators) to full-fledged descriptor controlled computations: enter the
Cartesian components of each vector in X and Y (e.g. by converting its polar
components into Cartesian ones by
alternative opportunities:

1. use
for additions or
2. calculate in complex domain (see next paragraph). Therein, vector multiplication
is possible, too, using the commands
Turn to a good textbook covering linear algebra for more information.

Complex Calculations

Mathematicians know of more complicated items than real numbers. There are also
complex numbers. If you do not know of them, leave them aside – you can use your
WP 34S perfectly without them.
If you know of complex numbers, however, note your WP 34S supports many operations
in complex domain as well. The key

functions. E.g.
C
COS (the elevated C is the signature for complex functions in your WP 34S).
ATTENTION 1: All functions operating on complex numbers require them in
Cartesian coordinates exclusively on your WP 34S. Each such number takes
two adjacent registers
its imaginary part.
You may use
time you like – just remember reverting this by
calculation.
ATTENTION 2: All complex functions work with radians exclusively where an
angular input is required, and return radians where they output angular data.
As a reminder,
providing suitable input values; there will be no automatic conversion of angular
data if the angular mode is switched.
Generally, if an arbitrary real function f operates on ...
 ... one real number
complex number
 ... one register, e.g. R12, then
 ...
x
and
y
, then
22
The HP-42S supported a special data type for complex numbers. This is not viable using the hardware
of the HP-30b, however. See Appendix F for the reasons.
WP 34S Owner's Manual


for subtractions and recall the result via SUM, or

calls the complex cosine, and it is displayed and listed as
22
: the lower one for its real part and the higher one for

x
to convert
c
RAD
is lit when
x
only, then its complex sibling
= x + i ∙ y
x
c
C
C
f will operate on
, if necessary) and choose one of the following
C
C
DOT or
CROSS.
is employed as a prefix for calling complex
= x + i ∙ y
to its polar equivalent


is pressed. The user is responsible for
. Note
x
will consume two stack levels.
c
f will operate on two registers, e.g. R12 and R13.
x, y, z
and
t
.
Edition 3.1
= r ∙ e
x
c
before starting a complex
C
f will operate on the
Page 29 of 211
i φ
any

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