What Does Bilinear Response Mean in Mathematical Terms?

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Discussion Overview

The discussion revolves around the term "bilinear response" as encountered in a scientific paper. Participants seek clarification on its meaning and implications in mathematical terms.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant expresses a lack of understanding regarding the term "bilinear response" and requests assistance.
  • Another participant asks for context to better address the inquiry.
  • A third participant notes the term was found in a specific paper and seeks clarification on its meaning.
  • A fourth participant suggests providing a citation and relevant excerpt from the paper to facilitate understanding.
  • A fifth participant shares a link to the paper and indicates where the term can be found.
  • One participant explains that "bilinear response" refers to being linear in both variables, giving examples such as expressions of the form xy and the scalar product being bilinear in certain variables.

Areas of Agreement / Disagreement

The discussion does not reach a consensus on the meaning of "bilinear response," as participants are still seeking clarification and additional context.

Contextual Notes

The discussion lacks specific definitions or detailed explanations of the term "bilinear response," and the mathematical implications remain somewhat unclear due to the initial lack of context.

hokhani
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I don't know what is "bilinear responce". I would be grateful for any help.
 
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Context?
 
DrDu said:
Context?
Yes, I saw the term "bilinear response" in a paper and I don't understand it.
 
"In a paper". Do you think this is helpful? Maybe you could give a citation and quote the relevant part?
 
It means that it is linear in both ##\delta X_1## and ##\delta X_2##. This is generally used for expressions of the form xy. Also the scalar product ##\langle \phi|\psi \rangle ## is bilinear in ##\psi## and ##\phi^*##.
 

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