“ Only those who risk going too far can possibly find out how far they can go ” - T.S. Eliot

Such is the way of the world You can never know Just where to put all your faith And how will it grow  Gonna rise up Burning back holes in dark memories Gonna rise up Turning mistakes into gold  Such is the passage of time Too fast to fold And suddenly swallowed by signs Lo and behold  Gonna rise up Find my direction magnetically Gonna rise up

You see inequalities in any discipline. In math-fin area specifically, most of the times, the inequalities are derived from a basic set of inequalities such as Cauchy’s, AM-GM, Jensen’s,Holder’s, Minkowski’s Inequalities. One typically comes across inequalities in some math course where one is asked to prove a specific inequality. Typically one solves them just like one learns the grammar and syntax of a language. Sadly ,the principles behind them are conveniently forgotten as one does not actually use then in some practical context.

There is a pleasure in the pathless woods; There is a rapture on the lonely shore; There is society, where none intrudes, By the deep sea, and music in its roar: I love not man the less, but Nature more…  - Lord Byron

To solve a problem is a very human undertaking, and more than a little mystery remains about how we best guide ourselves to the discovery of original solutions. Still, as George Pólya and others have taught us, there are principles of problem solving. With practice and good coaching we can all improve our skills. Just like singers, actors, or pianists, we have a path toward a deeper mastery of our craft.