Showing posts with label math. Show all posts
Showing posts with label math. Show all posts

Thursday, June 17, 2010

"Wanted" - Water Saver?

From wili hybrid
I watched Wanted on HBO the other day. The action was quite intense and made me wish I could beat my heart 400 times a minute. But somehow, thinking of the movie today brought me to one particular scene: when Wesley came back to his old house to retrieve his "father's" handgun.

A bit of background: Wesley dumped the handgun into the container of his toilet the day before because he thought the abduction was a dream (watch the movie, or read the plot, but the main thing is that the handgun is in the toilet).

Wouldn't that save a lot of water though? If every household owns one handgun and stores it in the toilet (yes, this is far-fetched....), how much water would the US save?

The volume of a an average pistol is no where to be found on the internet. So using 1100g as the standard weight of a handgun, and using a density less than steel 7.4 g/cm^3 (because of the plastics and other metals), the volume of a handgun is around .149 liters of volume. Assuming that this that the census data is quite accurate, 115 million households will exist.

115,000,000*.149 = 17135000 liters

which really isn't a lot. Except that it's the amount of water saved per flush. Using a conservative estimate of 2 flush a day for each household (with each household only having 1 toilet...):

2*365*17135000 = 1.251*10^10 liters

It's a respectable amount of water (apparently 1/40 of the water in the Sydney Harbor). I guess saving a gun in neither practical nor that economical (a savings around 330 million).

-runiteking1

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Saturday, July 25, 2009

Dear Mu Alpha Theta....

The recent national convention has been, in general, a failure. From the awful t-shirt color to the cheese-colored yolk, there are quite a few things that are wrong with it. Let me list out a few:

1. Tests - this area has probably the most complaints (along side with the dispute centers which is the same sector).The alpha matrices and vectors test is awful in terms of the editing that went into it. Mr. Wiggins writes awesome tests and is an awesome person in general, but this test is so mutilated that it might appear on lolzcats. I'm not even going to go into number theory...

Did I mention that there wasn't enough disputes sheets throughout all the rounds? And the impossibly hard alpha team test...? Enough said.

2. My food journel (if I kept one):

Day 1: Oo all you can eat stuff, this is going to be awesome! And unlimited drinks! Hmm, the desert is slightly bad though...
Day 2: Hmm, this food is starting to taste bland. The eggs are getting rubbery and the lunch is not as filling.
Day 3: GAHH, help me!!! The cheese looks like egg yolk and tastes like it too. I can't stand this! asdfja;lsdfjcn2
Day 4: Boycott of the food (dies next day).

3. From day one, there was door prizes given out. Lets just say the prizes weren't top notch. I wasn't expecting Ti-89s for everyone... but Air Force hats? Really? Also, the trophies weren't exactly "rewarding." Compared to last years spinny ones, the shiny ones, and the awesome ones, this years kind off sucked. The team medals for each members doesn't even have straps. Oh, and the hotel (particularly the Holiday Inn), I could write a whole letter to them... (people need towels in particular). The whole thing had a taste of cheapness to it. Somehow, everything seemed a bit cheap.

So next time when you organize a national convention (ie Washington DC), please at least edit your tests. It's not fun when you see on an answer choice another variable that wasn't even mentioned in the question.

Also, next time, please screen your hotels for their quality. I personally liked my bed to be made daily and having a jacket on the bed is not an excuse to not make it. Also, give us towels everyday! You try to get towels from a girl while you're naked...

I'm not saying the convention wasn't fun, it was great fun, but it just could be a lot better.

<3,

-runiteking1

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Sunday, June 14, 2009

Wheee, My First "Motivational Poster"

I was reading about Fibonacci numbers today... and tonight, my little brother was eating bunnies (click to go to larger resolution).


-runiteking1

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Wednesday, June 10, 2009

Why Wolfram Alpha Rocks

Take a look at the "comparison as mass" box on the bottom of the image. Impressive isn't it (click on image of larger screen if you can't read it)?



-runiteking1

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Monday, May 25, 2009

Bet You Didn't Notice

I don't know when this thought came to me but...:



Also, another thing from another website (Here):


 hehehe

-runiteking1

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Wednesday, April 8, 2009

The Use of Statistic: My Grades

I've noticed that my grades are steadily falling as the year progresses.Here's a breakdown...:




1st 2nd 3rd
Latin 98.1 93.9 90
Pre-Calc 101.8 92.6 96.6
Stats 96 98 93
Physics 99.3 94.7 92.6
Band 98.4 94 94
Chem 101 96 94
English 98 94 95


If I remember correctly in middle school, I always get awful grades the first nine weeks, improve the second, peak at my third, and fall my fourth. Alas, now I've gotten the habit of hitting the road running with not enough gasoline to power through the whole year.



Running a simple linear regression test showed that I indeed have a negative correlation of -.749 with a r-squared value of .561, meaning 56.1% of all my change in grades is determined by the nine-weeks. A look at the graph with the regression line (y = 101.1047 - 2.6714x, my y-intercept is an amazing 101.1047...haha) in: 





A look at the residual plot shows nothing really weird going on... there's not that much data to confirm a curved shape.




A box-plot of the residuals look relatively normal, no outliers and random stuff:



Okay... now I can run a linear regression t-test. Hmm, I don't think I did this right, but with a t-score of -4.927 with df = 19, makes the p-value close to zero. 


Guess that's not significant then....


-runiteking1
 

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Wednesday, October 29, 2008

13 Random Math Links

Separated into three portion, the nerdy, the funny and the inspirational.

The Nerdy Part:

  1.  1- 1+ 1- 1+ 1 ... = ?. This series seems simple enough, group the equations into two and you get 0. But wait... if you group it as 1 - (1 + 1) - (1 + 1)... you get 1. Then you can look at it geometrically to get 1/2. What is going on here?

    Wikipedia to the rescue...

  2. Put Latex on you website/blog the easy way. You might remember my experiments with Latex on this blog some time ago (the reason I'm not using it here is because it looks bad on this template...). Wouldn't it be nice if to have a perfectly typeset equation on your website? Here's the site:

    http://doc.yourequations.com/

  3. The Equation Solver: You still remember / still have that really stupid teacher who just makes you show all your work even though its just plain stupid? Or maybe you just need a bit of help with your homework? Visit Mathway.com to see their equation solver do ALL the work for you. 

  4. How do you turn a sphere inside out without poking holes? Take a look at this video... no degree in calculus needed...

  5. Solving Sudoku using package management, really cool idea (though not really "math"):
    There are many ways that you could convert a Sudoku problem into a Debian package archive, but here's a particularly simple one that is close to my summary of the rules. Create 9 * 9 * 9 = 729 packages, named cellR.C-V where R stands for row, C for column, and V for value. Each of these packages represents writing the value V in the cell (R, C). To describe the relationships of each cell to the other cells in the problem, we can create several... (then it gets to the nitty gritty stuff...)
  6. Euler's Beautiful Equation: How does an irrational number, an imaginary number, another irrational number can relate to -1? This is just mind boggling.
    Gentlemen, that is surely true, it is absolutely paradoxical; we cannot understand it, and we don't know what it means. But we have proved it, and therefore we know it must be the truth. —Benjamin Pierce
    Link

The Funny Part:
  1. Here's a redditer response to their favorite story involving math:
    OK, so this is more involving crypto than math, but whatever. One day I was at a math conference presenting on hash functions. The talk was pretty well attended, and afterward a pretty good looking girl comes up to me and introduces herself. She tells me how she really liked the talk, etc. and shakes my hand. After that she promptly leaves, and I discover that in my hand is a note.

    The note says "Here's my number:" and then it has a bunch of ciphertext. At this point I'm totally stoked, because how rare is it to find a hot girl who comes to math conferences and gives you her number?

    I spent days but couldn't crack the code :(
    Permalink

  2. I guess this isn't truely math, but computers and math are almost the same right? Link

  3. Lose weight by eating ice cream? If you do the math, you'll notice that you get negative calories by eating ice cream due to the specific heat of the ice cream... can you find the error in this post?

  4. Learn calculus in 20 minutes? Yup, this doesn't really go under the nerdy portion as this is quite the funny one. The author doesn't allow embedding so... here's the link!

The Inspirational Part:
  1. How Stephen Hawking learned, live through, and ultimately succeeded with ALS in his life.

  2. Ready for a bash of mathematics? Or just how mathematics is taught in America? Ready to spend some 15 minutes reading a 25 page PDF file? Then take a look here. Seriously though, it's a nice read.

  3. Remember the old story where a young student saw equations on the board and thought they were homework problems, instead they were "unsolvable" equations? Well, here's the actual story.

-runiteking1

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Thursday, October 9, 2008

Converting to Binary

So in pre-calc class today, I was referring to the phenomenon that Pi will contain all finite binary sequences if converted to binary. Just think about it.

If we convert pi to binary, and we know that pi is transcendent, this means some the movie "Kill Bill 2" in might exist if we convert the 1020330th digit to the 12398092892th digit. Then you've just broken a coyright protection law.

Think about it.

Also, your computer will contain all of the nastiest known computer viruses. In fact, all of the nastiest possible computer viruses.[...]


You might get away with computing just a few digits, but why risk it? There's no telling how far into Pi you can go without finding the secret documents about the JFK assassination, a photograph of your neighbor's six year old daughter doing the nasty with the family dog, or a complete copy of the not-yet-released Star wars movie. So just don't do it.

-runiteking1

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Monday, July 21, 2008

More test with LaTeX


\int_{0}^{1}\frac{x^{4}\left(1-x\right)^{4}}{1+x^{2}}dx
=\frac{22}{7}-\pi



$Hello, testing 1, 2, 3. How about a \pi?$



$Lets do a math problem shall we? How about\\ this problem from 2005 Number Theory test?\\\\
26. What is the sum of the distinct real solutions of$\\\\
\((2x^3 + 6x^2 + 6x + 2)(x + 5)(x+4)(x + 3)\\(x + 2)(x + 1) = 0



Oh I love this thing :)

Here is the website for the LaTeX: http://yourequations.com/docs/
-runiteking1

Sunday, July 20, 2008

MAO Nationals

What I learned from Nationals:
  1. Asians can't do any sort of applications, nada....
  2. A standard class train ride beats out a first-class plane ride.
  3. Don't trust puzzle store owners in their judgment of puzzles.
  4. NEVER buy the wood puzzle that constructs to a 3 by 3 cube.
  5. Spiny trophies are incredibly addictive.
  6. Spiny trophies along with holographic (or whatever you call those) stars are even more addictive.
  7. Apparently, trophies weighs a lot more than a few ounces of plastic (thanks Patrick).
  8. California == Proliferation of Prius
  9. California == Increased amounts of gay pride and men
  10. California == Governator!
  11. Evangeline's at old Sacramento is one weird store... with one exclusive section.
  12. Ciphering is a pain in the butt...
  13. Team is more a pain in the butt.
  14. Individual test writers expect 20 gabizillion full scores.
  15. Starbucks is amazingly expensive.
  16. Free food is amazingly gratifying.
  17. Waking up at 6:45 in the morning is "BUGGER!!!"
  18. Theorem 18 is further buggerfied by the fact that sleeping at 12:30P.M. doesn't increase your sleeping hours.
  19. Gaku gets lost easily...
  20. Buses are sometimes really late, like 3 hours late.
  21. Taxi costs too much.
  22. Airfare costs way too much.
  23. I can't eat a baked potato without chopsticks.
  24. Jerk face == Patrick
  25. Jerky nose == people who put jerky up there nose.
  26. Seagulls are white because of crayons (more about that later...)
  27. Alcatraz is amazingly cool.
  28. There are a total of 125 wires running up and down the Golden Gate.
  29. Burgers taste the same everywhere.
  30. Cups, on the other hand, can't be bought everywhere...
  31. Fauntress can be extremely loud when you're trying to go to sleep.
  32. Sleeping with 6 men is the same as sleeping with 4 men.
  33. Frisbees break really easily.
  34. Don't throw frisbees onto the streets.
  35. On the other hand, frisbees are also quite durable too...
  36. Zippers under the armpits is uncool. 
  37. Zippers under the armpits makes a pretty intimidating statement.
  38. Learn your girl terms from a guy.
  39. Pay attention to conversations that you'll in (especially to statements you made).
  40. Radical tests are gay...
  41. Apps is even gayer.
  42. Mean Girls is a marvelous movie :)
  43. Boys can win clean room contests.
  44. Good Will Hunting
  45. 25 == Keys without L
  46. Fort house sand is stupid.
  47. Indy-pen-dense-day...
  48. Double Bubble!
  49. Water parks in Cali is the same as in Fl.
  50. I have an super loud, screeching voice...
  51. 5-10-K with 3 gazillion people is boring...
  52. Cards are a must for any sitituation.
  53. 3 Jacks and a 3...
  54. Talking about infinity is mind boogling.
  55. Talking about Scrabble is mind numbing. 
  56. Birds have no discrimination over who they dump their crap over.
  57. "So this is a tampon!!!"
  58. Giving a fake parking ticket while the owner of the car is there is pretty bad...
  59. Giving a fake parking ticket when a real one is already on the car, WHILE the owner is looking is more than bad...
  60. Water + Cheap Flip-flops == You need duct tape.
  61. Foot - shoes == coal feet
  62. (Foot - shoes) + hot pavement == OWWWEEEE!!!!!
  63. 511 is not a good number to have as a room number.
  64. Giving your room number to people... good idea!
  65. Stairs == heaven...
  66. Wifi + Touch == Connect me
  67. Award cermonies are agonizingly loooooonnnnnnngggggg
  68. Poor Gaku....
  69. A door can be opened with the latch closed :)
  70. I fail:

Photo 2

-runiteking1

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Sunday, May 25, 2008

Since December 29th, 2007...

Since December 29th, 2007, the Quirky Quintet (formally known as Runiteking1's Blog) has amassed 2,498 visits. That means chances are by the time you're reading this, the Quirky Quintet has gotten a total of 2,500+ visits...

Here are some of the past favorite posts by hits (in no particular order):

And here's a graph for you numbers people... (might want to click to go to the flickr page)

(null)

and a chart:

(null)

Cheers.

-runiteking1

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Monday, April 21, 2008

The Irony of "Green"

This year's major cliche is "Going Green." Everyone is going green, from Brittany Spears to the city of New York but not enough commitment is going into the effort, thus stupid mistakes are made to go green, that probably made the world a slightly less green place. The same thing happened at State Mu Alpha Theta this year, where the poster theme was "Math Goes Green."

1. "Tickets." By my estimate, at least 500 people went to the convention. Most of the people took three tests that needed "tickets" to attend. For crying out loud, they didn't even check for the 1500+ A4 sized paper. If they're going to print something out, at least use it.

2. Absolutely no recycle bins. The whole point of the convention to me was to do math (which may I say, is very strenuous after a while). I took a total of about 7 tests, some requiring large amounts of paper. When we were done, some of us threw it away while some didn't (usually the team tests were thrown away) but there were no recycle bins. Even if I wanted* to make the world a better place, the convention made it a bit harder by not providing trash can.

3. Creates More Hype. In the world of clarinet manufacturers, Buffet-Crampon is one of the most renowned (because I own one of their top-of-the-lines). To their credit, they make some of the best clarinets around, but they are trying to use the hype on "green" to gain sales. They have a product line (called Greenline) in where the Grenadilla wood is replaced to the extent of 5% by carbon fiber to prevent cracking. This does not save trees at all and taps into the "green" hype of America by connecting with the word green. Please, just change the name.

Bonus - Just take a look at this article about how stupid Apple is right now... not their products though.


*I'm quite proud to say that my family is quite green. All of our bulbs are fluorescent, we barely use the A/C or heater and we drive an Accord/CRV, some of the more efficient cars around.

-runiteking1

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Thursday, March 20, 2008

Foundations

In band, we are playing Stars and Stripes Forever for one of our concerts. Though it's mostly quite easy for me, there is this one part where all the intervals (difference in pitch between two notes) are octaves. This poses a big problem for the clarinet as an octave is not the best interval for the instrument. The only reason I could play it well after two to three wacks at it is that I practiced all the intervals of most scales (the Do-Re-Me-Fa-So-La-Ti-Do) already.

Standard in every serious clarinet student repertoire is the Baermann's methods, especially the 3rd one (Foundation Studies). The moment you open up the thick book, you'll notice that it is all scales and intervals of the scales. For any player, scales are boring! Practicing actual music is so much more fun isn't it? But the problem is that actual music don't bring the player much technical skills required to advance one's musical talents. People say practice brings perfection, but wrong practice brings failure.

Spending one third of all my practice time on the Baermann book is quite laborious I can say, but it will bring many advantages. The first and foremost is the muscle memory associated with playing scales and intervals. To put music into simplest terms, they are all scales and intervals. Having muscle memory of the building blocks of music allows the player to focus more on the musicality instead of the fingerings.

The next advantage of practicing scales is that it improves the tone of the player. There's a "bad note" on every wind instrument that either sounds horrible or is terribly out of tune. Playing notes that note repeatedly, like in a scale book, will greatly improve the tone of that note. Since you are playing that one notes repeatedly in context, starting on different notes and landing on the "bad note" or starting on the "bad notes" and landing on another note, the Foundation book helps the player "bond" with their instruments better, creating a more full player with more control over tone and timbre of his or her instrument.

The last benefit of a great foundation is not from music, rather math. I took the AIME (American Invitational Mathematics Examination) last Tuesday (?) and missed (relatively) easy problems with simple foundations. Now I'm scrambling to play catch-up by reading all those Art Of Problem Solving books that I should had read and done years ago.

So what that this mean? For all you clarinet players out there, get the Foundation Studies book and start playing out of it daily. For all you mathletes, get the Arts of Problem Solving books and start going through the chapters. For all you athletes, start running or weightlifting like heck. Without a good foundation, one cannot build a skyscraper.

-runiteking1

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