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

Question

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

anonymous · Answer

Well $\mathbb{Z}$ means integers... that is  ... -3, -2, -1, 0, 1, 2, 3, ...

ajprincess · Answer

ya actually I want to knw what the symbol $\ni$ means?

anonymous · Answer

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.

anonymous · Answer

It's just  "in this set"

anonymous · Answer

and "in the integer set" basically means "is an integer"

anonymous · Answer

The $ \exists$ symbol means that the number/thingy  exists.

anonymous · Answer

and it satisfies whatever equation/properties/etc follow

ajprincess · Answer

So that means
there exist integers x and y such that ax+by=d is also an integer. Am I right?@wio

anonymous · Answer

I would translate that expression to say:

"There exists two integers, $x$ and $y$, such that $ax+by$ is an integer.

anonymous · Answer

@ajprincess  Yeah.  I think the $d$ is just there for the sake of saying the result is an integer.

ajprincess · Answer

oh k. thanx a lot:)