D&D math joek

[Halivar]

No fair, fett! In class I wasn't allowed to prove Cauchy's theorem by writing down a hyperlink on the exam. But I do wish I had thought of it...

I just realized that if we're going to be mathematically determining the odds of adventurers verses dragons, we have to quantity the actual melee. Here's my attempt:

Let dєD, where D={x|x is a dragon}. Let us define d=[t x1 g1] where experience x1є{x|x is an integer}, gold g1є{x|x is an integer}, and tє{x|x is nasty, pointy teeth}. Now let aєA, where A={x|x is an adventurer}. Let us further define a=[s x2 g2], where experience x2є{x|x is an integer}, gold g2є{x|x is an integer}, and sє(x|x is a sharp, pointy stick}.

Let us define addition between the sets A and D to be a binary operation thusly:
Let aєA and dєD. We define a+dє{x|xєA or xєD} with the following conditional:
If a[1] > d[1], then a+d=a'=[a[1] a[2]+d[2] a[3]+d[3]] and d'=[0 0 0].
If d[1] ≥ a[1], then a+d=d'=[d[1] d[2]+a[2] d[3]] and a'є{x|x is a tasty snack}.

Question: Are the sets A and D closed over addition? Prove or disprove.

 

[Gez]

Well, it's not exactly a proof. A proof of an absense of proof, that is.

Still, this was probably a boast from Fermat, as he would have written the proof somewhere, even if not on that particular margin.

And the absence of a proof of a proof is not the proof on an absence of proof.

 

[Yair]

Another one

A paladin and his squire get lost in a forest. Traveling for a while, they finally find someone - an old elf leaning against a forest, contemplating whatever it is that old elves contemplate. The party's front-man, a paladin, approaches the elf. "Greetings stranger! Can you tell me where I am?"
The old elf looks at him in contempt, and spits out "You're on your horse, of course."
The paladin sighs, and continues trying to find his way on its own. His companion tags on his coat tails, and asks "Why won't you ask him where we all are?"
"No use," says the paladin, "he's a mathematician."
"How do you figure that out?"
"Only a mathematician will give you an answer that is completely accurate, and COMPLETELY USELESS!"

 

[Altamont Ravenard]

Prove it.

I just need to find 1 example to prove that his theorem is incorrect. I will use the most famous proof of them all:

1782^12 + 1841^12 = 1922^12



AR

 

[diaglo]

e to the i pi minus 1 equals zero.

i love pi.

esp around thanksgiving time in the states.

 

[Gez]

I just need to find 1 example to prove that his theorem is incorrect. I will use the most famous proof of them all:

1782^12 + 1841^12 = 1922^12

This is beyond my mental calculation skills, so here are my computer's answers:

1782^12=1.02539783562263e+039
1841^12=1.51581242299196e+039
1922^12=2.5412102593148e+039
1782^12+1841^12-1922^12=-7.00211950340978e+029

At least, that's what the Computer said. And the Computer cannot be wrong, since errors are a human thing. And the Computer is my friend, so it wouldn't lie to me.

 

[Halivar]

e to the i pi minus 1 equals zero.

i love pi.

esp around thanksgiving time in the states.

Is that Euler's? I took complex mathematics at 7 in the morning five years ago and I can't remember anymore.

 

[Voadam]

A mathematician's favorite module?

Orc and Pi.

 

[barsoomcore]

I love you guys.

 

[RangerWickett]

Okay, I so did not get those first two jokes. Anyone care to explain why I didn't? I mean, it won't make the jokes funny, but my curiosity will be sated.