polar form of complex number from stack
Matthias Lievens
Can someone tell me if it's possible to compose a complex number from the
stack using a modulus and argument (magnitude and phase)? I wouldn't know
how to enter a phase on the stack.
if I type 1 enter 45 and then real to complex command. I get (45,<88.7)
instead of (1,<45) what I would like.
Thanks,
Matthias
Ka Kit NG
Hi, Matthias. Assuming you are in POLAR coordinate, you may try this:
1 45
<< ->V2 RECT V-> R->C CYLIN >>
EVAL
Hope this may help.
Regards,
K.K.
Dan Kalish
Hi, Matthias and K.K.
It's not necessary to go into programming mode; the keystrokes are
very simple.
First, here's what happened: the calculator took (1,45) as a
rectangular-coordinate complex number, and converted it to argument 45
(actually 45.01111...), angle 88.7 degrees.
So lets do it another way. Make sure you're in degree mode. When you
enter the complex number, you need to use the angle sign. Its the
green part of the SPC button, bottom row.
(1 <45) ENTER where < is the angle sign. If you're in polar mode,
(green part of the MTH key, next to top row), it will appear as
(1,<45). If you're in rectangular/rectilinear mode (same key pressed
again), it will appear at (0.70711,0.70711).
Simple as pie.
HTH,
Let us know how it works out.
Dan
John H Meyers
> if I type 1 ENTER 45 and then R->C command,
> I get (45,<88.7) instead of (1,<45) what I would like.
If you used ->V2 [MTH VECTR menu] in place of R->C it would work :)
[as long as you see R<Z or R<< in the status area, not XYZ;
use CYLIN or SPHERE command to set these display modes]
Or, to directly enter a complex number using polar coordinates,
insert the "angle symbol" between the complex components,
within the usual parentheses, e.g.: (1<45)
Now actually the symbol isn't "<" (as you know).
On 48G it's right-shift SPC (shown on the keyboard).
On 49G it's Alpha right-shift 6 (isn't that handy? :)
49G users who would like to sacrifice the "infinity" symbol
(left-shift zero) and put the "angle" symbol there instead
(to make it as handy as on the 48G) may do:
128 CHR 102.2 ASN -62 SF
You can still do Alpha left-shift zero to get the infinity symbol,
so you still have both zero and infinity on the same key :)
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John H Meyers
> If you used ->V2 [MTH VECTR menu] in place of R->C
> [while in CYLIN or SPHERE coordinate display mode]
Also set flag -19 so that ->V2 creates complex numbers,
rather than vectors.
The input syntax (123\<)456) [with "angle symbol"]
is the more conventional way, however, which unmistakably
tells the compiler that you are entering a complex number
in polar coordinates; the only flag/mode you then need to have
set in advance is for the desired angle units (DEG, RAD, GRAD).
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Matthias Lievens
Matthias