My combination theorem : square

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Discussion Overview

The discussion revolves around a combinatorial question posed by a high school student regarding the number of squares in a rectangle subdivided into unit squares. Participants are invited to comment on the student's theorem related to this question.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • Fatih proposes a theorem regarding the counting of squares within a rectangle made up of unit squares.
  • One participant acknowledges the result but suggests that it can be derived quickly and questions the use of the term "theorem" for the result.
  • Another participant encourages Fatih to justify his result and welcomes him to the forum.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the validity of the term "theorem" as applied to the result, and there is a suggestion for further justification of the proposed theorem.

Contextual Notes

The discussion does not resolve the definitions or implications of the proposed theorem, nor does it clarify the mathematical steps involved in deriving the result.

fatay
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Hi i am fatih from turkey.i am high school student.question is "how many squares are in an rectangle subdivided into unit squares?"(a<=b)

My theorem about this question.Please write your comments.Thanks For your time, thanks all mathematicians !:)
 

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Correct, but as you can see it is possible to derive it in under 5 minutes. I'm not in high school any more - so don't let that discourage you! It is a nice result, I just would not call it "theorem".
 
Thank you very much :)
 
May be you need to justify the result.
+ welcome to PF!
 

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