What is the Math symbol for "corresponds with"

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Discussion Overview

The discussion revolves around the search for a mathematical symbol that represents the concept of "corresponds with," particularly in the context of relationships between variables such as energy and wavenumber. The scope includes mathematical notation and the interpretation of proportionality.

Discussion Character

  • Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant suggests that "corresponds" may not be the correct term and questions whether a modified equals sign could be appropriate.
  • Another participant interprets "corresponds" as indicating a relationship where one variable changes with another, proposing that it might be more accurately described as proportionality.
  • A further contribution clarifies that the colon ":" indicates a ratio, while the proportionality sign " ∝ " signifies a direct but unspecified variation between two variables, providing an example of this notation.
  • A participant acknowledges a correction regarding the use of mathematical symbols.

Areas of Agreement / Disagreement

Participants express differing views on the appropriate terminology and symbols to use for representing relationships between variables, indicating that multiple competing interpretations exist.

Contextual Notes

The discussion does not resolve the ambiguity surrounding the term "corresponds" or the most suitable mathematical notation for the relationship in question.

ppppparker
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I looked on the wiki math symbol page and couldn't find one, so I am thinking "corresponds" is wrong word. Is it supposed to be equals sign with hat on it?
for example, "energy directly corresponds to wavenumber"
thanks for any help
 
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ppppparker said:
for example, "energy directly corresponds to wavenumber"

as in if one changes so does the other ?

that's probably proportional to ... eg .. energy : wavenumber
 
davenn said:
as in if one changes so does the other ?

that's probably proportional to ... eg .. energy : wavenumber
The colon " : " is used to indicate a ratio.

The proportionality sign, " ∝ " is used to indicate that there is a direct, but unspecified, variation between two variables.

For example:

x ∝ y → y = k ⋅ x, where k is called a constant of proportionality

https://en.wikipedia.org/wiki/Proportionality_(mathematics)
 
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thanks for the correction

I'm not a mathematician :rolleyes:
 

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