Monday, November 4, 2013

Proof by Poem

I was reading Reddit last night and came across this poem. Quite elegant!
To prove irrational square root two,
Suppose there are integers p and q
with p over q entirely reduced
and when their ratio is taken, root two is produced.

squaring both sides of this faulty equation
yields p squared over q squared is two, a relation
so p squared is even, a fact that is true
if and only if it is divisible by two.

But since two is prime, evenness of p squared
says that p is even, (a fact that Euclid declared).
We can now deduce a little bit more;
the number two q squared is divisible by 4.

But then q squared is divisible by two
And we know that this fact, is simply not true
Because then q is even, that just cannot be
because p,q are both even, contradiction, QED.
Via itsatumbleweed on Reddit.

Thursday, October 24, 2013

Math Club: 10/24/13 - LaTeX Workshop!

We're having another LaTeX workshop!

More courses and majors on campus are requiring students create more documents via TeX than ever before, so now is the time to learn; whether it's for one course or for your dissertation, TeX is one of the premier methods of professional document creation!

Join us to get started or improve your skills. Today, 10/24 at 3:10 in A&S 228. We're in a computer lab, but if you want to set these TeX tools up for your personal use, bring your laptop or ipad! We hope to see you there!

Be sure to check out our LaTeX Resources!

Friday, October 18, 2013

Prepare for Mole Day

Mole Day is fast approaching. For those of you who have never heard of Mole Day, it is celebrated on October 23rd at 6:02 am/pm. Get it? An  Avogadro’s number amount of a particular atom/molecule is called a Mole of that substance, and Avogadro’s number is 6.022x1023 ; hence October 23rd at 6:02 am/pm.

Well I know this is a math blog, but where would chemistry be today without mathematics? Physical chemistry is almost entirely the study of quantum mechanics, and quantum mechanics is centered around the principles of the Schrödinger's equation. So to celebrate I rounded up some videos on the Mole and random, yet fun, sub-subjects... 

I hope you look through the playlist below, as it will take you on a Wiki-binge-like, Youtube adventure.

Enjoy the next half-hour of wasting time self-edification!

Let’s begin with Mole Day:

The Silicon-28 sphere he was speaking of is explained here:

On the topic of SI units, a second is defined by an idea in the same way those scientists wish to define a kilogram:

I am going to leave you with a bit of biology involving a stopped clock (or rather, the illusion of one):

And if you are interested in the Vsauce Leanback but can't seem to click that link... click here!
Have Fun!