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Please help:)
What does this mean?
\(\exists x, y \in Z \ni d=ax+by\)
 one year ago
 one year ago
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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wioBest ResponseYou've already chosen the best response.3
Well \(\mathbb{Z}\) means integers... that is ... 3, 2, 1, 0, 1, 2, 3, ...
 one year ago

ajprincessBest ResponseYou've already chosen the best response.0
ya actually I want to knw what the symbol \(\ni\) means?
 one year ago

wioBest ResponseYou've already chosen the best response.3
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

wioBest ResponseYou've already chosen the best response.3
and "in the integer set" basically means "is an integer"
 one year ago

wioBest ResponseYou've already chosen the best response.3
The \( \exists\) symbol means that the number/thingy exists.
 one year ago

wioBest ResponseYou've already chosen the best response.3
and it satisfies whatever equation/properties/etc follow
 one year ago

ajprincessBest ResponseYou've already chosen the best response.0
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

wioBest ResponseYou've already chosen the best response.3
I would translate that expression to say: "There exists two integers, \(x\) and \(y\), such that \(ax+by\) is an integer.
 one year ago

wioBest ResponseYou've already chosen the best response.3
@ajprincess Yeah. I think the \(d\) is just there for the sake of saying the result is an integer.
 one year ago

ajprincessBest ResponseYou've already chosen the best response.0
oh k. thanx a lot:)
 one year ago
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