Archive for the 'Mathematics' Category

All these good times!

The recent fever is actually helped me. It gave me some time in bed, alone with me, awake.

Most of the time I though about women, two in particular. I found something new…

When I was younger, I tried to use Bayesian probability theories to predict if some girl would like me or not. Ironically probability was never 1, and no Girl ever thought that I was cool enough to hang out with. Most of the prediction models were based on very simple logic that is sometimes used by ‘Love Guru’s, which I listened to carefully, just to make up some mathematical probability model for Hooking up. It makes me laugh these days, although I did get a pretty good understanding of probability and statistical data visualization.

I have had enough crushes, not enough for making a mathematical model, but still enough to predict time evolution of the next one.

I have had enough crushes, not enough for making a mathematical model, but still enough to predict time evolution of the next one. :-)

During the fever I had a very very different kind of model to make. I never thought I gad to face such a thing. It is the most strangest model I ever had to try to build. I crushed to two, they overlapped on time frame. Though my ‘exceptional’ previous experience say that none of them likes me; That’s 100% sure (Deep inside my heart, I do hope for the opposite… XD). But what should what would I do if I had to choose between them. That was my latest brush with probability, after all the probability studies in college.

But is has a flip side, just as we don’t have such an advanced alien mathematics, I can have a good time, dreaming great dreams and live a life so thrilling!

My recent studies about human evolution and how can it explain our choice or partners were not really helpful at all. I cannot blame the scientists for that. The society is too much complex for traditional logical and reasoning techniques. I think we need some new more efficient mathematics for this. But is has a flip side, just as we don’t have such an advanced alien mathematics, I can have a good time, dreaming great dreams and live a life so thrilling!

Project Euler Problem 7

That is the problem I chose to start with, while participating in Project Euler. You can have a go at http://projecteuler.net

That is where I started to help me cure myseld of my ADHD (Recently I think I have ADHD). That stands for Attention-Deficit/Hyperactivity Disorder. As I am seeing my life through my eyes, I find the symptoms inside me.

It happens when you switch very rapidly. And Wikipedia says that it also has a strong genetic component.

I switch subjects very rapidly. Like, few days, I am with micro controller programming, then few days with number theory and then few days with cryptography. This is not very healthy for our brain. I think I need to stop multitasking, and get things done one-by-one.

Or I might have more severe ADHD. Actually I came to know it, when I started reading The Last Theorem by Arthur C. Clarke. Ranjit Subramanian had this disorder as his friend Gamini pointed out in the novel.

Anyway, I solved this problem 7; The 10001th prime number is 104743. I made a program to solve the problem. I really liked the nature of this problem.

I give the Python code below.

http://drop.io/byvmgs9

The code, a very simple one, suggested by Ranjit Subramanian in the novel.

It took a few minutes to find the 10001th prime on my PC. I am sure there are more less resource hungry algorithms, my next quest is to find another more efficient one.

The novel is bit unworthy for grown up readers I think; The plot is a bit childish. But it has a lot of talk inside, that is what I really liked about the novel. And for a layman, it is very healthy (For his/her brain of course).

Right now, I will be desiging a logo for my deviantART userpage.

Go visit: http://rivalslayer.deviantart.com

Thanks!

Mathematical Heart

There is a function, for which the Cartesian graph looks like this,

The graph of heart

The graph of heart

I am writing the function again: f(x)=|x-pi/2| + (1/4) +((x-pi/2)/3)^30

I hope, from the picture, you can see how the graph looks like. Romantic function! Isn’t it?

N-Dimensional grad

Is this how an n-dimensional grad would look like?

Being Geek

Being a Technology Geek, and a serious physics-mathematics buff is really hard especially when you are in 18 yrs. of age, with your board exams very near. But as Geekdom is full of fun, you cannot ignore that, and thus you will fall in your career. This was my truth, until recently.

When I think I should talk about quantum mechanics with my friends, they literally scold me, as they don’t like it. Whenever I say, “Python is awesome, you should really try it out”, to my friends, they say, “I will think about that when I get time”. Whenever I talk about the OSS superstars, no one cares. When I talk about the GTK+ library, no one seem to try to know what I am talking about. When I try to think about tensors quietly, no one cares about my thoughts, they just come along and seduce me to play bridge, thus distracting me. When I try out apparently ridiculos things, no one supports me, even when I give them perfect logic, they just don’t care! But still I did those things, and screwed my exams, but still I am proud of my Geekdom.

Now, I know, that it is all about channelizing your geekiness through a proper channel. It is not that hard, I tried it out in some cases. I think everybody should be proud of their Geek status; Geek status is unique, and good as long as you don’t disturb others around you. A funny but very logical quote a friend of mine made, “A busy person finds time for everything.”. So you can be a geek a man, and a great student with great academics (I am definitely not a good academic).

I should share some of my cool geeky projects, all you geeks out there, try these out:->

  1. Master Python, all by yourself, with the help of tutorials, books, and online references (Not so difficult, and very fun).
  2. Find out the radius of a circular road or a curve, with the distortion of the oscillation of a hand made pendulum to one side while riding at the back of a bike, or a car (assuming the speedometer is fairly accurate)(Planning to do this).
  3. Find long lengths in average by walking, and calculating the average length of every step (This wouldn’t be very accurate)(Done this many times).
  4. Configure GRUB correctly, with Ubuntu, Fedora, and Windows installed, so that every one of them work correctly (Trying to do it).
  5. Find the centre of gravity of any shapes that comes to mind, with the help of calculus and paper, or calculus and computer, and also Euclidian Geometry, trigonometry, symmetry arguments, and physics.
  6. Get a fair grip on linear algebra (Only for 18 yrs. like me).
  7. Configure a cellphone, so that you can access the internet connection of your PC from the cellphone using the bluetooth or USB (Needs a bit of programming I think, I will try it out, when I get my hands on a decent cellphone)(Found in DIGIT June 2008 issue).
  8. Convince a female friend to listen to all your fantastic “Beauty of Science” lectures (Trying…).
  9. Go to the carpenter to build a big cog wheel to find the velocity of light, how? You think/google it out (Planning to do).
  10. If you use linux, forget GEdit, KEdit, Kate etc., go back to Vi, Emacs or Nano (Found in DIGIT June 2008 issue).
  11. Build a model of Bucky Ball(C60) or a Dodecahedron from anything (Very bad one)!
  12. Hack Ubuntu to enable the root account in GUI (Trying hard!).

Those who want to sizzle their intellect!

I got a few books, for those philomaths, who wants to see mathematics with a completely different perspective(well, to me , it’s a bit different).

Unknown Quantity

Unknown Quantity: A real and imaginary history of algebra by John Derbyshire

I like this book for it’s awesome story telling. Read it, you will know a lot about the algebra thing.

And for those non-mathematicians, who want to know the grand unified mathematics, read this one

Fermat’s last theorem

OOh! I love this book. Simon Singh gives a good overview of one of the finest theorems of mathematics.

I have read a lot of books on mathematics, but these two are a bit different. Grab them!


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