## Archive for December, 2007

### Identity NO. 4 : Square root “sequence” of 2

30Dec07

Reading some of the Lev Kourliandtchik books, I’ve found, kindy tricky observation how to write extreamly simple, this giant with number of square roots. It’s easy to dubunk that and using that equality we have cool, huh?

### Identities NO. 3 : Trigonometric

30Dec07

For , we do have \ Trigonometrics

### Methods in Physics NO. 1 : Image Method

27Dec07

Suppose that we have a grounded sphere made from a conductor and an electron far from the sphere. Let the radius of the sphere be and the beginning speed of the electron be orientated on the line in distance of from the center of the sphere. The smallest distance between electron and the center of […]

### Problem NO. 1 : Law of the Adiabatic Process

25Dec07

Reading R. Resnick – D. Haliday thermodynamics, I’ve found something well known me although it’s making me wonder every single time when I think about it. It’s the derivation of the thermodynamics law that goes like this: From first law of thermodynamics , but in the adiabatic process we have and instead of we put […]

### Official solutions from 59. Polish Mathematics Olympics.

23Dec07

The solutions can be found here http://www.om.edu.pl/zadania/om/om59_1r.pdf My solution for task number 9 is here: Solution for number 9

### Method NO. 2 : Upseting Method, again

22Dec07

Lets calculate more compilated sum further, the last one equals to and now the first of the sums is equal to however the second one is easy, cause its a geometric sequence equal to under the law from previous post. Now we have , in the result of elementary algebraic transformation we recieve It’s easy […]

### Method NO. 1 : Upseting Method, The sum of a geometric sequence

22Dec07

Asume that we want to calculate Of course, But the sum on the right side is equal to Therefore and so,

### N95 8GB + Bluetooth Keyboard SU-8W = Creativity & Productivity

09Dec07

I sold my old N95 and I bought N95 8GB – Ninja as some say I haven’t written any review yet, but this phone is totally awesome. It takes everything to another dimension, although there are a few things that should be fixed. Here some of my +/- + Bigger screen great for watching movies […]

### Next Olympics Problems Solved

02Dec07

Experimental problem 2 Experimental problem 3 Theoretical problem 1 Theoretical problem 2 Theoretical problem 3 Problems from Poland 59 MO 2007/2008 I level/II set. Problem 5 Problem 6 Problem 7  Problem 8