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

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wio
 3 years ago
Best ResponseYou've already chosen the best response.3Well \(\mathbb{Z}\) means integers... that is ... 3, 2, 1, 0, 1, 2, 3, ...

ajprincess
 3 years ago
Best ResponseYou've already chosen the best response.0ya actually I want to knw what the symbol \(\ni\) means?

wio
 3 years ago
Best ResponseYou've already chosen the best response.3So you're saying there exist the integers x, and y, where if you multiply by a and b, you end up with another integer.

wio
 3 years ago
Best ResponseYou've already chosen the best response.3and "in the integer set" basically means "is an integer"

wio
 3 years ago
Best ResponseYou've already chosen the best response.3The \( \exists\) symbol means that the number/thingy exists.

wio
 3 years ago
Best ResponseYou've already chosen the best response.3and it satisfies whatever equation/properties/etc follow

ajprincess
 3 years ago
Best ResponseYou've already chosen the best response.0So that means there exist integers x and y such that ax+by=d is also an integer. Am I right?@wio

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

wio
 3 years ago
Best 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.
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