Understanding the Difference Between \equiv and = in Math Notation

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Homework Help Overview

The discussion revolves around the mathematical notation differences between \equiv and =, particularly in the context of defining average velocity as V_{x} \equiv \Delta x / \Delta t. Participants express uncertainty about the implications of using these symbols in mathematical expressions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the meanings of the symbols, questioning whether there is a significant difference between them. Some express curiosity about the conventions used in textbooks and the rationale behind using both notations.

Discussion Status

The discussion is active, with participants sharing their thoughts and interpretations. Some have suggested that \equiv may indicate a definition rather than a simple equality, while others are seeking further clarification on the conventions used in mathematical notation.

Contextual Notes

There is mention of a textbook using both notations, which raises questions about the consistency and reasoning behind this choice. Participants are considering the implications of notation in relation to units and definitions.

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[tex]V_{x} \equiv \Delta x / \Delta t[/tex]


What is the difference between [tex]\equiv[/tex] and = ?

I know that it means congruency in math but I somehow doubt that it's the case in this situation :P
 
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there's no difference, it just means average velocity is equal to change of distance divided by change of time.
 
i figured as much...

is there a reason for this convention? (the textbook uses both throughout)
 
not sure, maybe the extra line on the equal sign just means that it's not just a number answer but also with units.
 
I see

well, thanks for the quick response!
 
It is usually used to denote a definition. So your statement is a definition of Vx
 

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