Phys/math/chess

Nebo - P1 - Page 1 Greetings all ! I start with a couple of ideas about life ! what is life ? In its simplest form , life is nothing more than a way of decreasing entropy in expanse of producing heat . Hence , it's just another way of contributing heat death of universe . is it ok to live forever ? we loose the urgency of doing things . we will have always tomorrow , why to get up even ? So we cant achive nothing . even if we do things their value will drop by time . If given enough time you can achive anything . Now , lets do some math This is famous Parseval 's theorem : if you expand a function in a complete orthtonormal set than their square 's are related . Complete set can be Fourier , Legendre , Bessel etc . This is very useful . It can be even used to define completeness . Let 's

Nebo - New 9 - Page 1 Happy new year blog On the last day of 2019 Lets solve some problems so that we prepare for 2019 . Did you know that there is no explicit formula for the indefinite integral : ∫ e - x 2 dx = ? But we have a value for definite integral ∫ 0 ∞ e - x 2 dx = π 2 Do you use the symmetry while solving definite integrals ? That is a useful trick ; any function can be written as g x = g e x