History of N-Tuples & Vectors: Hamilton or Otherwise?

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SUMMARY

The discussion centers on the historical association of n-tuples with vectors, specifically questioning whether this connection originated from the work of William Rowan Hamilton. It is established that Hamilton is credited with the term "n-tuple," but there is no definitive evidence linking him to the definition of vectors. The conversation highlights the ambiguity in the historical timeline of these mathematical concepts and emphasizes the need for further research into their origins.

PREREQUISITES
  • Understanding of n-tuples in mathematics
  • Familiarity with vector theory
  • Knowledge of historical mathematical terminology
  • Research skills for academic sources
NEXT STEPS
  • Investigate the historical context of Hamilton's work on n-tuples
  • Explore the definitions and properties of vectors in mathematics
  • Review academic papers on the evolution of mathematical terminology
  • Examine the contributions of other mathematicians to the concept of n-tuples
USEFUL FOR

Mathematicians, historians of mathematics, and students studying vector theory and n-tuple concepts will benefit from this discussion.

Gear300
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Who was it that associated n-tuples with vectors (was it originally Hamilton's work)?...or were n-tuples defined as a result of the attempt to define vectors?
 
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Hamilton is given here: http://jeff560.tripod.com/s.html as having first assigned the term set to n-tuples but I can find no reference to its use for vectors.
 
Alright then. Thanks again for the assistance.
 

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