## Archive for December, 2007

Reading some of the Lev Kourliandtchik books, I’ve found a tricky observation how to write this gigantic expression in an extremely simple, with number of square roots. It’s easy to checkÂ that and using that equality we have cool, huh? ðŸ™‚ Advertisements

Filed under: Identity, Mathematics, Science | 5 Comments

Tags: 2, cos, cosinus, form, Identity, roots, sequence, short, square

### Identities NO. 3 : Trigonometric

For , we do have \ Trigonometrics

Filed under: Identity, Mathematics, Science | 7 Comments

Tags: Identity, tangent, triangle, trigonometry

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 […]

Filed under: Methods, Physics, Science | Leave a Comment

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 […]

Filed under: Physics, Science | 2 Comments

Tags: adiabatic, physic, process, thermodynamic

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 numberÂ 9

Filed under: Journal, Mathematics | Leave a Comment

Tags: answers, math, polish, solution

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 […]

Filed under: Mathematics, Methods | Leave a Comment

Tags: math, method, sequence, sum, upset, upseting

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

Filed under: Mathematics, Methods | Leave a Comment

Tags: geometric, math, method, sequence, sum

I sold my old N95 and I bought N95 8GB – Ninja as some say ðŸ™‚ 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 […]

Filed under: Mobile, Nokia N95, Nokia N95 8GB, Nokia SU-8W | 12 Comments

Tags: apps, creativity, keyboard, n95 8gb, productivity, Python, s60, symbian, wireless

### Next Olympics Problems Solved

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

Filed under: Personal | Leave a Comment

Tags: math, olympics, Physics, poland, polish, Problems, solved