mmzaj

well , as i understand it , the fact that strings don't shrink due energy consumption is related to the infamous uncertainty principle .... as a string vibrate , classically it would shrink to a single point , but somewhere in the middle there will be a balance between the string's size , and it's energy , and it will continue to vibrate while maintaining a specific size , unless an external energy is pumped into it .

Hi i'm looking for a general solution for [math]\phi(t)[/math] here . [math]\int \ t^n \phi(t) \, dt = \left( \int \ t \phi(t) \, dt \right)^n ; n=0,1,2,3 ...[/math] any help is appreciated ..