### A familiar Functional Equation

Cauchy’s functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + …

Cauchy’s functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + …

It is almost like deflating a balloon. But the effect is exponential. Today (29th January 2018, Monday), we have a …

Graphing an exponential function can be tricky. We are familiar with the graph of \( e^x \). But what if …

Problem Next Continue here

In I.S.I.’s B.Stat Entrance 2005, the following problem appeared: Problem: Let $$ f(x) = \int_0^1 |t-x|t dt $$ for all …

You may want to look into the first part

An electric heater coonsists of a nichrome coil and under \(220V\) consuming \(1KW\) power. Part of its coil burned out …