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/sci/ - Science & Math

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[ERROR] No.3656668 [Reply] [Original]

What's your numberwang level /sci/? Post honestly which of these you know. They're in increase order of difficulty.

1. Proof that 1+1=2 (natural numbers)

2. Proof that -1*-1=1 (integers)

3. Proof that sqrt(2) is irrational (rationals)

4. Proof that 0.9999... = 1 (real numbers)

5. Proof that e is irrational (more real numbers)

6. Proof of Sum_{n natural} 1/n^s = Product_{p prime} 1/(1-1/p^s) (infinite product)

7. Proof of (p|q)(q|p) = (-1)^{(p-1)/2 (q-1)/2} (Gauss)

>> No.3656747

124567

feel retarded that i can't prove 3 without way too much work

>> No.3656767

>>3656747
it's a proof by contradiction...

>> No.3656770

>>3656747
if sqrt(2)=a/b then a^2 = 2b^2 then show the diophantine equation has no solutions except a,b=0,0 using decent.

>> No.3656800

1. I have one, and I have another one. So when I group them together, we have two. Q.E.D.

2. On one occasion, you fail to remember that you owe me a dollar. I come out one dollar ahead. Q.E.D.

3. absurdity by p/q etc etc I forget.

4. Three thirds make one. And besides, assumption of infinitessimals leads to nonsense, which is easy to check. Q.E.D.

5, 6, 7: actual, out and out handwaving by now.

>> No.3656826

>>3656800
3 for having some insight into work
-7 for terrible work

3/10, please see me after class

>> No.3656846
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[ERROR]

>>3656800
> 1. I have one, and I have another one. So when I group them together, we have two. Q.E.D.

> 2. On one occasion, you fail to remember that you owe me a dollar. I come out one dollar ahead. Q.E.D.

why the fuck is this shit

>> No.3656857
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[ERROR]

>>3656800
> doesn't know the difference between proof and "explaining to a 5 year old"

>> No.3656864

5. Assume e is rational. Then if S is a partial sum of e up to 1/m!, S <= p/q <= S + 1/(mm!), the right inequality is easily proved by taking out 1/(m + 1)! so that a geometric sum can be used. Multiply this inequality by m! to make them all integers, which is a contradiction. Thus, e is irrational.

>> No.3656886

1 2 3 4 5 but that's all folks