What this mathematical symbol means?

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Homework Help Overview

The discussion revolves around the interpretation of a mathematical symbol resembling an equal sign with a caret on top. Participants are exploring its meaning and context, particularly in relation to equivalence or correspondence in mathematical expressions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants attempt to identify the symbol's usage in specific contexts, such as between measurements in cubic meters and cubic centimeters. Others suggest it may indicate correspondence or definition, questioning the need for additional context to clarify its meaning.

Discussion Status

The discussion is ongoing, with participants sharing examples and references to external sources. There is a mix of interpretations being explored, and while some guidance has been provided regarding potential meanings, no consensus has been reached.

Contextual Notes

Participants note the importance of context in interpreting the symbol, suggesting that without specific examples or questions, it remains challenging to ascertain its intended use. References to external resources, such as Unicode information and Wikipedia, indicate a search for authoritative clarification.

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It is like equal sign with ^ on top.
 

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In what context is this used? I can't think of a standard meaning for this.. perhaps they mean "definition." It would be easier to tell if you could quote an equation, say, which uses this.
 
For example,it is used between [tex]0.000001\;m^3[/tex] and [tex]1\;cm^3[/tex].
 
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It probably means that two things are correspondent. For example, a map could be drawn to a scale, let's say 1 : 10 000, and so one could say that 1 unit of measurement on the map corresponds to 10 000 of that same unit in reality. I've seen that notation been used like this:

1 cm2 [tex]\widehat{=}[/tex] 10 000 m2

which means that an area of 1 cm2 measured on the map corresponds to 10 000 m2 in reality.
 
R A V E N said:
For example,it is used between [tex]0.000001\;m^3[/tex] and [tex]1\;cm^3[/tex].

In what context it this? The two are equivalent, so it probably just means that. But, unless you provide the specific context (a question, say) then it will be difficult to guess.
 
Character Map shows one as U+2259 under the font set OpenSymbol. The character name is "Estimates"

http://www.fileformat.info/info/unicode/char/2259/index.htm

It can be represented with Lucida Sans Unicode font here. It may look different when you enter it in a text box, but should display fine once posted.
 
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Found a wiki on it. When you copy and paste the estimates symbol, it redirects to "correspondence."

http://en.wikipedia.org/wiki/Correspondence_(mathematics )

Whether this has anything to do with the original problem, I dunno.
 
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cristo said:
In what context it this? The two are equivalent, so it probably just means that. But, unless you provide the specific context (a question, say) then it will be difficult to guess.

When some problem is solved and the "first" result is given at the end followed by this symbol and "second" result.
 

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