Fourier transform -- Is this an error in my textbook?

  • Context: Engineering 
  • Thread starter Thread starter mad mathematician
  • Start date Start date
  • Tags Tags
    equation Error math
Click For Summary

Discussion Overview

The discussion revolves around a potential error in a textbook related to the Fourier transform, specifically concerning a formula presented in the text. Participants are examining the accuracy of the formula and expressing frustration over the lack of proofreading in academic materials.

Discussion Character

  • Debate/contested

Main Points Raised

  • One participant claims that the formula presented in the textbook should be corrected to ##F(\omega)=\gamma Q(\omega)+(1-\gamma)F(\omega)Q(\omega##, suggesting it is a mistake.
  • Another participant questions the reliability of the textbook, asking for specific details about the book and page number.
  • A third participant provides the reference for the textbook in question, including the authors and specific chapter.
  • Several participants express agreement that there appears to be a mistake in the text.

Areas of Agreement / Disagreement

Participants generally agree that there may be an error in the textbook, but the discussion does not resolve whether the proposed correction is definitive.

Contextual Notes

The discussion lacks detailed context regarding the assumptions behind the formula and does not clarify the implications of the proposed correction.

mad mathematician
Messages
143
Reaction score
24
Homework Statement
preparation for exams in EE
Relevant Equations
below
It looks like a mistake, the book writes the following:
1738333226318.png

I believe (2.4) should be: ##F(\omega)=\gamma Q(\omega)+(1-\gamma)F(\omega)Q(\omega)##. I don't understand these pitfalls in books, they don't make someone to proof-read the text?!
I mean besides me the reader... of course. :-D
 
Physics news on Phys.org
"The book" is not really a great reference, What book and what page? Jeez
 
Reply
  • Like
Likes   Reactions: jim mcnamara
Last edited:
Reply
  • Like
  • Informative
Likes   Reactions: Gavran, mad mathematician, hutchphd and 1 other person
mad mathematician said:
It looks like a mistake
Yes, I think so too.
 
Reply
  • Like
Likes   Reactions: mad mathematician

Similar threads

Engineering Fourier transform of a shifted sine wave
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad On deriving the (inverse) Fourier transform from Fourier series
  • · Replies 4 ·
Replies
4
Views
3K
Engineering RL Circuit Power Computation: What Am I Missing in My Solution?
  • · Replies 1 ·
Replies
1
Views
2K
Mean and var of an exponential distribution using Fourier transforms
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Recover Hamilton equation from 2-form defined on phase space
  • · Replies 3 ·
Replies
3
Views
2K
Fourier transform of exponential function
  • · Replies 3 ·
Replies
3
Views
3K
Applying Convolution to a PDE with a Fourier Transform
  • · Replies 12 ·
Replies
12
Views
2K
Undergrad Invert a 3D Fourier transform when dealing with 4-vectors
  • · Replies 3 ·
Replies
3
Views
2K
Diffusion equation in polar coordinates
  • · Replies 7 ·
Replies
7
Views
3K
How to Fourier-transform e^(-2|t|)?
  • · Replies 17 ·
Replies
17
Views
8K