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Distributed Materials.pdf

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Preview of Distributed Materials
🔗 Source: ocw.nagoya-u.jp
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Summary

The set of rational numbers Q is constructed from the set of integers Z as follows:
X = Z × (Z - {0}) = {(m, n) | m ∈ Z, n ∈ Z - {0}}.
An equivalence relation is defined on X by (m, n) ∼ (m', n') ⇔ mn' = m'n.
The quotient set Q := X/∼ is the set of all rational numbers.
For example, the fraction 3/2 is represented by (3, 2), and 3/2 = 6/4 ⇔ (3, 2) = (6, 4).

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Description

The set of rational numbers Q is constructed from the set of integers Z as follows:
X = Z × (Z - {0}) = {(m, n) | m ∈ Z, n ∈ Z - {0}}.

Technical Information

  • File Format: PDF
  • File Size: 30 KB
  • Pages: 1
  • Language: EN
  • Total Downloads: 230
  • Last Updated: 3 weeks ago

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This PDF document about Distributed Materials provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into Distributed Materials.

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