Minimal Triplet: Definition and Calculation

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Discussion Overview

The discussion revolves around the concept of a "minimal triplet" in the context of a mathematical relation involving integers. Participants seek to define what constitutes a minimal triplet and how to calculate it based on given values.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks for the definition of a minimal triplet and how to calculate it from the relation A=\frac{iB+j}{k}C, providing specific values for A, B, and C.
  • Another participant questions whether a textbook provides a definition for minimal triplet, suggesting that such definitions are typically included in academic resources.
  • A later reply indicates that the original poster does not have a definition from their textbook.
  • Another participant expresses skepticism about the problem's origin, noting that textbooks usually define terms before asking for their application.
  • The original poster mentions that a paper defines the minimal triplet as i=1, j=0, k=1, but does not provide further context.
  • One participant requests a link to the paper for additional context.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the definition of a minimal triplet, and there is uncertainty regarding the source of the problem and its context.

Contextual Notes

There is a lack of clarity regarding the definition of minimal triplet, as well as the context in which it is used in the referenced paper.

LagrangeEuler
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I have a general question. For example I have some relation
[tex]A=\frac{iB+j}{k}C[/tex]
where [tex]i,j,k[/tex] are integers. How to obtain minimal triplet and what is definition of minimal triplet. Let for example we have case ##A=\frac{1}{10}##, ##B=\frac{1}{2}##, ##C=\frac{2}{10}##. Find minimal triplet ##i,j,k##. How and what is definition?
 
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LagrangeEuler said:
I have a general question. For example I have some relation
[tex]A=\frac{iB+j}{k}C[/tex]
where [tex]i,j,k[/tex] are integers. How to obtain minimal triplet and what is definition of minimal triplet.
Doesn't your textbook have a definition of a minimal triplet?
LagrangeEuler said:
Let for example we have case ##A=\frac{1}{10}##, ##B=\frac{1}{2}##, ##C=\frac{2}{10}##. Find minimal triplet ##i,j,k##. How and what is definition?
 
Mark44 said:
Doesn't your textbook have a definition of a minimal triplet?

No.
 
Is this a problem from a textbook? I've never seen a math book that asked you to find something without providing at least a definition of that something.

Can you give us the context of this problem?
 
It is paper and I am trying to figure it out what is their definition of minimal triplet. They say that minimal triplet is ##i=1,j=0,k=1##.
 
What paper? Can you post a link?
 

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