solution to last prob.

well from the Cauchy inequality we have
(a+b+c+d)( 1/a + 1/b + 1/c +1/d) => (1+1+1+1)^2=16

well for this we get

(a+b+c+d)( 1/a + 1/b + 4/c + 16/d) => (1+1+2+4)^2=64. so we are done.

Cauchy

Prove that for
a, b, c, d > 0
then

1/a+1/b+4/c+16/d => 64/(a+b+c+d).

solution will be given later.

Math for Money

I finally start work on Monday. This will put an end to some of the boredom that I have been experiencing so far. These last few days I have been somewhat occupied. My cousin came and stayed with my family last week, that was pretty cool. He is AMAZING at video games.

Saw a few movies...ok I actually saw one movie. MI3, it was better than I expected, but still not as good as that one movie I went to with Ashley.

Have been doing math again. Really should start to study for MAO. I think it will all come down to studying on the plane, and that will be studying only w/ individual or ciphering test, no topic test. I am waiting for Borders to get their shipment of Problem Solving Through Problems so I can go and get it...with a gift card of course, other wise I would have gotten it online.

I have decided that the US national team needs a new coach. Honestly! You go into a must win game and play a 5-4-1 does he not realize that in order for us to win we need to score. Personally I would have gone with a 3-4-3, but then what do I know...I mean I've never coached a team that has lost a world cup game.

Here is what is really happening

Well if you read my xanga post from June 15 and believed it then you are just plain stupid. Really how could you truly believe that I would decide to minor in English. YUCK!!

I am actually majoring in Mathematics with a minor in Actuarial Science. Just in case I decide not to become a quant I'll have some other choice and still be able to get paid well $.

As of now this is my schedule (I plan to change it as soon as I am allowed to, which is August 1)

Monday:
Calc 3 12:50-1:40
Issues in American Literature and Culture 4:05-4:55
Tuesday:
Biodiversity Conservation: Global Perspectives 5:10-7:05
Wednesday:
Calc 3 12:50-1:40
Issues in American Literature and Culture 4:05-4:55
Thursday:
Calc 3 12:50-1:40
Biodiversity Conservation: Global Perspectives 5:10-6:00
Friday:
Calc 3 12:50-1:40
Issues in American Literature and Culture 4:05-4:55

Just so that you know, I HATE this..I don't have any classes before noon...but it ends at 6 or 7 p.m. I am hoping to change it so that my classes start at around 9 in the morning and end at around 2 or 3 on most days. I would also like to mention that I am also taking Microeconomics. It is however, not listed above because it is considered an online class where it is optional whether or not you attend the real lectures, and they have not decided on the lecture times as yet. Yes! I do plan to attend that class.

Change of plans

After doing some thinking I have decided that I will try to take only 4 classes my first semester at UF. If I do take 5 classes then I would like for two of them to be math classes. Well I'll just have to see how things go when I attend orientation.

Can't wait for June 26, 2006. That's when I start to work at FSU with the statistics department, hopefully I will have somewhere to park my car.

Well after doing some more work and reading I have realized that Putnam problems are not as hard as I once thought. Don't get me wrong they are still hard, just now they seem more approachable. I was working on one problem and had the right idea to express the sides of some squares in terms of trig. functions but I however made a mistake in finding a way to add their areas and as you guessed I did not get the right answer. Well off to try and solve more problems. Hopefully I will have more meaningful stuff to post in the near future.