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ajprincess Group Title

Please help:) What does this mean? \(\exists x, y \in Z \ni d=ax+by\)

  • one year ago
  • one year ago

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  1. wio Group Title
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    Well \(\mathbb{Z}\) means integers... that is ... -3, -2, -1, 0, 1, 2, 3, ...

    • one year ago
  2. ajprincess Group Title
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    ya actually I want to knw what the symbol \(\ni\) means?

    • one year ago
  3. wio Group Title
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    So you're saying there exist the integers x, and y, where if you multiply by a and b, you end up with another integer.

    • one year ago
  4. wio Group Title
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    It's just "in this set"

    • one year ago
  5. wio Group Title
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    and "in the integer set" basically means "is an integer"

    • one year ago
  6. wio Group Title
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    The \( \exists\) symbol means that the number/thingy exists.

    • one year ago
  7. wio Group Title
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    and it satisfies whatever equation/properties/etc follow

    • one year ago
  8. ajprincess Group Title
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    So that means there exist integers x and y such that ax+by=d is also an integer. Am I right?@wio

    • one year ago
  9. wio Group Title
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    I would translate that expression to say: "There exists two integers, \(x\) and \(y\), such that \(ax+by\) is an integer.

    • one year ago
  10. wio Group Title
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    @ajprincess Yeah. I think the \(d\) is just there for the sake of saying the result is an integer.

    • one year ago
  11. ajprincess Group Title
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    oh k. thanx a lot:)

    • one year ago
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