Part I: A fox chases a rabbit. Both run at the same speed $ v$ . At all times, the fox runs directly toward the instantaneous position of the rabbit , and the rabbit runs at an angle $ \alpha $ relative to the direction directly away from the fox. The initial separation between the…
July 2011
Weierstrass had drawn attention to the fact that there exist functions which are continuous for every value of $ x$ but do not possess a derivative for any value. We now consider the celebrated function given by Weierstrass to show this fact. It will be shown that if $ f(x)= \displaystyle{\sum_{n=0}^{\infty} } b^n \cos (a^n…
Memory, in human reference, is the ability to store, retain and recall information when needed. Without hammering the mind in the definitions, let us look into the ten methods of boosting our memory: 1. Simple Repetition Method The classical method is very popular in committing poems to memory by reading them repeatedly. 2. Full Concentration…