HP-35s complex numbers in polar mode
05-17-2020, 10:04 PM
Post: #1
 Kjetil Junior Member Posts: 4 Joined: May 2020
HP-35s complex numbers in polar mode
Hello,

I bought myself a new HP-35s this winter (2020).

I have a problem with keying in complex numbers i polar mode.
That is when the |absolute value| is a result of an operation,
or if [enter] i pressed just before [blue-shift] [i] [value] [ENTER]

- RPN modus.
- Polar modus
- Emptying the stack. [blue-shift][CLEAR][STK][ENTER]

Example:
[2] [sqrt] [blue-shift] [i] [45] [ENTER]
This gives an error message: SYNTAX ERROR.

Example:
[0.41] [ENTER] [1] [+] [blue-shift] [i] [45] [ENTER]
This gives an error message: SYNTAX ERROR.

Example:
[2] [ENTER] [blue-shift] [i] [45] [ENTER]
This gives an error message: SYNTAX ERROR.

So my question is. How shall I key in the following?:
|sqrt{2}| r{45} (that is 1+i1)

Best regards, Kjetil
05-18-2020, 08:07 AM
Post: #2
 ijabbott Senior Member Posts: 1,130 Joined: Jul 2015
RE: HP-35s complex numbers in polar mode
[sqrt] is an operation key, not a number entry key.

You could enter the number as two numbers and multiply them together:

2
[sqrt]
1Θ45
[x]

Or enter the approximate value of sqrt(2) as part of the number:

1.41421356237Θ45
[enter]

Or just enter it in rectangular form since you already know it:

1i1
[enter]

— Ian Abbott
05-18-2020, 09:20 AM
Post: #3
 pinkman Senior Member Posts: 403 Joined: Mar 2018
RE: HP-35s complex numbers in polar mode
Hello,
The Θ key is made to enter inline values in polar mode, ex: 1.414Θ0.7

I like this answer from ijabbott :
(05-18-2020 08:07 AM)ijabbott Wrote:  2
[sqrt]
1Θ45
[x]

I also suggest using the RAD mode and entering the number in the exponential form (r.e^(iΘ)):
[pi]
[4]
[/]
[i]
[*]
[e^x]
[2]
[SQRT]
[*]
05-18-2020, 09:21 AM
Post: #4
 Kjetil Junior Member Posts: 4 Joined: May 2020
RE: HP-35s complex numbers in polar mode

Ian Abbott,

Thanks a lot for your prompt response.

I like Your first solution that multiplying the “real” number (2 [sqrt]) with 1Θ45.

But when it comes to the two latter solution, I am not able to see those as answers to my question.

I should of course explicitly stated that my example, «keeing in» √2Θ45, was meant as a part of a larger calculation.

Again, thanks a lot for taking your time.

Best regards, Kjetil
05-18-2020, 09:55 AM
Post: #5
 Kjetil Junior Member Posts: 4 Joined: May 2020
RE: HP-35s complex numbers in polar mode
Pinkman

Using exponential form (r e^(iΘ)) was interesting. – It is of course due to my limited math skills, but I have to look into Your suggestion more closely.

Best regards, Kjetil
05-18-2020, 12:36 PM
Post: #6
 Kjetil Junior Member Posts: 4 Joined: May 2020
RE: HP-35s complex numbers in polar mode
Thanks to both for Your help. This is, as far as I could see, the right solution:

2 [√] 1 [Θ] 45 [×]

By the way; on my old HP-42S, (in polar mode), I could just press:

2 [√] 45 [COMPLEX]

Best regards, Kjetil
05-18-2020, 06:15 PM
Post: #7
 pinkman Senior Member Posts: 403 Joined: Mar 2018
RE: HP-35s complex numbers in polar mode
We all wished the 35s was a 42s...
But it’s a good calculator and you could add a small program to create the same function.

Code:
 C001 LBL C C002 ENTER C003 SIN C004 i C005 x C006 x<>y C007 COS C008 + C009 x C010 RTN

Usage:
2
[SQRT]
45
XEQ C
[Enter]

I used the z = r(i.sinΘ+ cosΘ) form to handle deg or rad modes. Unfortunately there is no flag giving the polar or rectangular mode, otherwise we could have simulated the whole behavior of the 42s.

Regards,
Thibault
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