About this blog

I feel this blog as a reflection of my thoughts to myself , and sometimes as a public diary, and the last she is my best friend to share my thoughts who says never a "oh no! ,you shouldn't....That Disgusts...."

amazing logarithm function

I was using some logarithmic potentila in my problem as a trial.
But during the analysis i tried to see what power of x equals the behaviour of log function up to a constant.
  But interestingly it is dominated by all the inverse monomials (polynomial with one power) near zero and the usual monomials at infinity. If you want to see compare log(x) and x^m for all m as x approaches to zero and for infinity as second case.

Final line: Near zero , log is similar to an infinite stretch
                 Near infinity, it is similar to a constant function.