What is the Math symbol for "corresponds with"

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In summary, the conversation discusses the difference between the equals sign and the hat symbol in math and the correct usage of the colon and proportionality sign. The conversation also mentions the concept of proportionality and its relationship to variables.
  • #1
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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  • #2
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
 
  • #3
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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  • #4
thanks for the correction

I'm not a mathematician :rolleyes:
 

Related to What is the Math symbol for "corresponds with"

What is the Math symbol for "corresponds with"?

The math symbol for "corresponds with" is ≙ (equal with tilde above).

What is the meaning of the symbol ≙ in math?

The symbol ≙ in math is read as "corresponds with" and is used to show that two quantities or expressions have the same value or are equivalent.

How is the symbol ≙ used in mathematical equations?

The symbol ≙ is used in mathematical equations to indicate that the expressions on either side of the symbol are equivalent or have the same value. For example, a ≙ b means that the value of a is equal to the value of b.

Is the symbol ≙ used in any other areas of math besides equations?

Yes, the symbol ≙ is also used in set theory to show that two sets are equal or have the same elements. It is also used in geometry to show that two figures are congruent or have the same size and shape.

Is there a difference between ≙ and = in math?

Yes, ≙ and = have different meanings in math. The symbol ≙ is used to show equivalence or correspondence, while = is used to show equality. In other words, ≙ is used to compare two quantities or expressions, while = is used to show that they are exactly the same.

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