Can the number 1 be squared infinitely many times?

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The discussion revolves around the confusion regarding the mathematical expressions used in the context of relativity of simultaneity. Participants clarify that when using the convention c=1, the constant c should not appear in the equations at all, and any introduction of c must be consistent with dimensional analysis. The algebraic manipulation leading to the expression involving c^2 is questioned, with emphasis on the importance of maintaining dimensional consistency throughout calculations. There is a consensus that while c=1 simplifies calculations, it can obscure the underlying relationships between time and distance in relativity. Ultimately, understanding these nuances is crucial for accurately applying concepts in special relativity.
  • #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.
 
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