Showing rearrangement in maths paper

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Discussion Overview

The discussion revolves around how to formally represent and show the process of rearranging equations in a mathematics paper. Participants explore various methods and symbols that can be used to convey these mathematical transformations clearly.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses uncertainty about how to formally represent the rearrangement of equations in their mathematics paper, seeking guidance on appropriate symbols.
  • Another participant suggests that without more specifics, the initial question is too vague to provide a meaningful answer.
  • A different participant advises that when explaining the rearrangement, it may be beneficial to describe the steps in words rather than focusing solely on symbols.
  • One participant provides a specific example of rearranging the equation a + b = c to isolate b, suggesting the use of subtraction and presenting the rearrangement both symbolically and with a vertical bar notation.
  • Another participant reiterates the same example and suggests using the double arrow notation ( <=> ) as an alternative way to show the rearrangement.

Areas of Agreement / Disagreement

Participants do not reach a consensus on a single method for representing rearrangements, as various approaches and notations are proposed without agreement on a definitive standard.

Contextual Notes

Some responses indicate that the discussion may depend on the specific context of the mathematics paper and the audience's familiarity with different notational conventions.

Einstein's Cat
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I am currently writing my first mathematics paper but I don't know how to formally represent and show the process of rearranging a certain equation; for example what symbols would I use etc..?
 
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Einstein's Cat said:
I am currently writing my first mathematics paper but I don't know how to formally represent and show the process of rearranging a certain equation; for example what symbols would I use etc..?
Without more specifics, your question is too vague to answer.
 
If your question here is related to a recent post about solving the equation Ax + By + C = 0 for one of the variables, the best thing to do is to forget symbols, and just say in words what you're doing at each step.
 
Last edited by a moderator:
Einstein's Cat said:
I am currently writing my first mathematics paper but I don't know how to formally represent and show the process of rearranging a certain equation; for example what symbols would I use etc..?
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Mark44 said:
Without more specifics, your question is too vague to answer.
Say I have an equation of a+b= c and I intend to make b the subject then I'll just subtract a from both sides of the equation giving b= c- a; how would I show this rearrangement in a paper mathematically and formally?
 
Einstein's Cat said:
Say I have an equation of a+b= c and I intend to make b the subject then I'll just subtract a from both sides of the equation giving b= c- a; how would I show this rearrangement in a paper mathematically and formally?
a + b = c
=> b = c - a

or you can use the <=> too in this case.
 
Einstein's Cat said:
Say I have an equation of a+b= c and I intend to make b the subject then I'll just subtract a from both sides of the equation giving b= c- a; how would I show this rearrangement in a paper mathematically and formally?
At school we used
##a+b=c\; \vert \, -a##
##b = c-a##
 

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