anybody here a math major?

[Cotton eyed Joe]

any body?  I have a question

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I can't guarantee the answer is correct or even related, but I'll guarantee I'll have an answer.

[cb67rs1]

yeah its a math course its called Real Analysis, its a real pain in the ass.

putting the opposite of what I want to prove first is called proof by contrapositve ,and with this question since what I  have to prove is compound, it makes it messy to do it that way.

thanks for the solution man

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is that what you were looking for?

[1800bigk]

I dont know yet, I am playing around with the division alg and number principle

[locogato11283]

fuck that shit...math sucks.

[quad4me]

fuck that shit...math sucks.

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what he said

[FireHead]

Let a and b be nonzero integers. Prove that there is a

natural number m such that

(i) ajm and bjm, and

(ii) if c is an integer such that ajc and bjc, then mjc.

Proof. Let S = fn 2 N : ajn and bjng. Since ab 2 S, S 6= ;. Thus,

by the Least-Natural-Number-Principle, there is a smallest element of

S. Let m be this smallest element. Now suppose ajc and bjc. Then

c 2 S and so c m. So by the division algorithm for integers, there

exist integers p; r such that 0 r < m such that c = mq+r. Since ajm

and bjm, then ajr and bjr. If c 6= 0, then r is an element of S smaller

than m. Thus, r = 0 and mjc.

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I'm pretty sure that's right, but then again I have a master's in ME and you know how retarded engineers are.

 

[Shee_Rookie]

Let a and b be nonzero integers. Prove that there is a

natural number m such that

(i) ajm and bjm, and

(ii) if c is an integer such that ajc and bjc, then mjc.

Proof. Let S = fn 2 N : ajn and bjng. Since ab 2 S, S 6= ;. Thus,

by the Least-Natural-Number-Principle, there is a smallest element of

S. Let m be this smallest element. Now suppose ajc and bjc. Then

c 2 S and so c m. So by the division algorithm for integers, there

exist integers p; r such that 0 r < m such that c = mq+r. Since ajm

and bjm, then ajr and bjr. If c 6= 0, then r is an element of S smaller

than m. Thus, r = 0 and mjc.

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That kick's ASS ! I thought i was pretty decent at math until i saw this shit ...