Imaginary numbers in 33S equation mode



#11

Hi. I'm trying to put an equation in my 33S involving complex numbers, but there's no apparent way to enter i. For example, how would I enter the equation y=x+i in my 33S (i being the unit imaginary)? Thanks


#12

The 33 uses the expression Z=X+Yi for complex numbers. Like you I could not use the CMPX function in an equation.
It did work when I wrote a program however.

From the learning module on Complex numbers the following example is given:

(3+2i)/(4-4i)
The answer is 0.125 + 0.625i.

Programming the 33S as follows

C001 LBL C

C002 RCL A

C003 Enter

C004 RCL B

C005 Enter

C006 RCL C

C007 Enter

C008 RCL D

C009 CMPLX/

Store 3 in A

Store 2 in B

Store -4 in C

Store 4 in D

R/S results

0.6250
0.1250

I am no programmer, so I am sure there are better ways to express the program, but at least will allow you to enter imaginary parts into an equation.

Mike

Edited: 11 Nov 2004, 10:42 a.m.


#13

I thought that RCL A RCL B RCL C RCL D would fill the stack with 4 numbers. Does the 33S require ENTER between those in a program?


#14

-

#15

Thanks for the reply. I was actually trying to use complex numbers in the equation mode (where you input an equation and it solves for a variable), but I'm glad I can at least write programs with complex support. Thanks.

#16

Unfortunately, equations on the HP33s does not support complex numbers. The i is used as an indirection variable rather than SQRT(-1).


#17

Thats terrible! I finally find a good use for equation mode, and it can't do what I want! Complex support really seem to be lacking on the 33S, I'm actually regretting buying it now. Thanks.


#18

Just out of curiosity, what is the equation you want to solve with complex numbers??

Often if you just plug in (a + ib) into the equation, you can solve the real and imaginary parts separately. These separated equations *can* be solved numerically on the calculator


#19

The equation was sqrt[(R + jwL)/(G + jwc)]. It was tedious to retype this equations for various values. I know it would be simple to seperate it into real and imaginary parts, but I figured the equation mode could handle it.


#20

Quote:
The equation [to be used in an equation for solving] was "sqrt[(R + jwL)/(G + jwc)]."

This expression can be used within a program fed to the SOLVE function, which will solve for only one real-valued variable at a time:


         x    y     z    t
RCL L
RCL W
*
RCL R
RCL C
RCL W
*
RCL G G wC R wL
CMPLX/
0
ENTER
0.5
CMPLXyx

This will place Re {sqrt[(R + jwL)/(G + jwc)]} in the x-register and Im {sqrt[(R + jwL)/(G + jwc)]} in the y-register. Taking to the 0.5 power is the only workaround for finding square roots of complex-valued arguments.

-- KS


Edited: 17 Nov 2004, 3:46 a.m.


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