How Can I Remove Imaginary Parts from a Complex Number Expression?

  • Thread starter Thread starter kaizen.moto
  • Start date Start date
  • Tags Tags
    Imaginary parts
Click For Summary
The discussion centers on how to display an expression containing complex numbers with only the real parts. The original expression is quite complex, involving multiple terms with both real and imaginary components. Suggestions for achieving this include using the FullSimplify function in Mathematica while specifying that the coefficients (Ao's and Bo's) are real. Other recommendations involve reducing precision, re-deriving the expression without complex numbers, using formulas to extract the real part, or replacing the imaginary unit 'i' with zero. Additionally, the Chop function is mentioned as a potential method to eliminate small imaginary parts.
kaizen.moto
Messages
94
Reaction score
0
Hi all,

I have this expression containing complex numbers and I wanted the expression to be displayed with real parts only. How can i do this?

For instance, the original expression is,

eqn = (16.0001+3.16141*10^-21 i)-(0.00860351-1.16927*10^-18 i) Ao[1]+(0.00537811-4.47536*10^-19 i) Ao[2]+(0.00220452-3.26709*10^-19 i) Ao[3]+(0.000739715-4.06632*10^-19 i) Ao[4]+(0.00013763-7.3495*10^-20 i) Ao[5]+(0.0000531553-2.41817*10^-20 i) Ao[6]+(0.0000215401-7.71228*10^-21 i) Ao[7]+(8.33787*10^-6-2.34411*10^-21 i) Ao[8]+(3.04878*10^-6-6.62795*10^-22 i) Ao[9]+(1.05209*10^-6-1.65167*10^-22 i) Ao[10]+(3.41169*10^-7-3.05161*10^-23 i) Ao[11]+(1.03042*10^-7-4.88271*10^-25 i) Ao[12]+(2.84435*10^-8+1.99951*10^-24 i) Ao[13]+(1.97033*10^-9-1.78568*10^-25 i) Ao[14]-(1.27252*10^-9-2.32126*10^-24 i) Ao[15]+(1.48923*10^-9+1.28512*10^-24 i) Ao[16]+(2.6173*10^-9+5.15919*10^-24 i) Ao[17]-(0.00140526-1.73272*10^-18 i) Bo[1]-(0.00102695-5.8933*10^-20 i) Bo[2]-(0.00120414-4.97092*10^-19 i) Bo[3]-(0.000925213+9.831*10^-19 i) Bo[4]-(0.000299566+1.36884*10^-21 i) Bo[5]-(0.000114259-2.87861*10^-22 i) Bo[6]-(0.0000407664-5.94754*10^-22 i) Bo[7]-(0.0000136803-4.09024*10^-22 i) Bo[8]-(4.28978*10^-6-2.03871*10^-22 i) Bo[9]-(1.23214*10^-6-8.23679*10^-23 i) Bo[10]-(3.08143*10^-7-2.67666*10^-23 i) Bo[11]-(5.67061*10^-8-5.63015*10^-24 i) Bo[12]-(1.24165*10^-9+3.89669*10^-25 i) Bo[13]+(1.79991*10^-9-2.12938*10^-24 i) Bo[14]+(2.8092*10^-9-5.68199*10^-24 i) Bo[15]+(6.17782*10^-9-8.51869*10^-24 i) Bo[16]+(4.60098*10^-9+5.81194*10^-24 i) Bo[17].


I have tried to various methods but still failed including Re[eqn] etc etc etc.

Please let me know and thank you in advance.
 
Physics news on Phys.org
kaizen.moto said:
I have tried to various methods but still failed including Re[eqn]
Did you try to FullSimplify that? You might need to tell FullSimplify that the Ao's and Bo's are real. (They are real, right?)

You could probably tell Mathematica to reduce the precision.

You could repeat the derivation in a way that doesn't use complex numbers.

You could use one of the formulas for computing the real part of a number.

You could tell it to replace i with 0.



You could find a way to do whatever you wanted to do next that doesn't require the coefficients to be real.
 
Chop[eqn]
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 24 ·
Replies
24
Views
3K
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 68 ·
3
Replies
68
Views
12K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 11 ·
Replies
11
Views
2K