Can the number 1 be squared infinitely many times?

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Homework Help Overview

The discussion revolves around the calculations involved in the relativity of simultaneity, particularly focusing on the mathematical expressions and the implications of using the speed of light, c, in different contexts. Participants are examining how to handle the algebraic manipulation of these expressions and the significance of the c=1 convention.

Discussion Character

  • Mathematical reasoning, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are questioning the legitimacy of simplifying expressions involving c, particularly whether it is appropriate to introduce factors of c in certain algebraic steps. There is also discussion about the implications of using c=1 and how it affects dimensional consistency.

Discussion Status

The discussion is ongoing, with participants providing insights and raising questions about the algebraic steps involved. Some have pointed out the need for clarity regarding what is being computed, while others are exploring different interpretations of the mathematical expressions presented.

Contextual Notes

There are indications of confusion regarding the transition between different forms of the equations and the implications of dimensional analysis in the context of relativity. Participants express varying opinions on the use of c=1 and its impact on understanding the theory.

  • #31
I always thought the brackets are interchangable in the 2 examples. Do you have a vid or article that shows the difference?
 
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  • #32
rgtr said:
I always thought the brackets are interchangable in the 2 examples. Do you have a vid or article that shows the difference?
The parentheses tell the reader the order of execution of the operators.
a/(b/c) says to do b/c first, so a/(b/c)=(ac)/b, whereas (a/b)/c=a/(bc).
In LaTeX parentheses can be omitted when the font size makes it clear.
##\frac a{\frac bc}## implies ##\frac a{(\frac bc)}## whereas ##\frac {\frac ab}c## implies ##\frac {(\frac ab)}c##.
 
  • #33
rgtr said:
I always thought the brackets are interchangable in the 2 examples. Do you have a vid or article that shows the difference?
Division is not associative. Neither is subtraction.
##(a/b)/c\ne a/(b/c)##

Addition and multiplication are associative.
 
  • Informative
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