ajprincess
  • ajprincess
Please help:) What does this mean? \(\exists x, y \in Z \ni d=ax+by\)
Mathematics
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katieb
  • katieb
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anonymous
  • anonymous
Well \(\mathbb{Z}\) means integers... that is ... -3, -2, -1, 0, 1, 2, 3, ...
ajprincess
  • ajprincess
ya actually I want to knw what the symbol \(\ni\) means?
anonymous
  • anonymous
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.

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anonymous
  • anonymous
It's just "in this set"
anonymous
  • anonymous
and "in the integer set" basically means "is an integer"
anonymous
  • anonymous
The \( \exists\) symbol means that the number/thingy exists.
anonymous
  • anonymous
and it satisfies whatever equation/properties/etc follow
ajprincess
  • ajprincess
So that means there exist integers x and y such that ax+by=d is also an integer. Am I right?@wio
anonymous
  • anonymous
I would translate that expression to say: "There exists two integers, \(x\) and \(y\), such that \(ax+by\) is an integer.
anonymous
  • anonymous
@ajprincess Yeah. I think the \(d\) is just there for the sake of saying the result is an integer.
ajprincess
  • ajprincess
oh k. thanx a lot:)

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