### A familiar Functional Equation

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

Read More### Cauchy’s Functional Equation’s Application – INMO 2018 Problem 6

An Application of Cauchy’s Functional Equation Cauchy’s functional equation is a description of a function. $$ f(x + y) = …

Read More### Contraction of a function – advanced Cheenta seminar

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

Read More### Graphing the exponential (TOMATO Objective 699)

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

Read More### Introducing Math Circle

In 2018, we are introducing Math Circle memberships. The members have exclusive access to: Weekly live and online Doubt Clearing …

Read More### Euler’s Formula and Access All – Cheenta Update

The most beautiful equation in mathematics is: It is often attributed to Swiss Mathematician Leonhard Euler. Interestingly enough, …

Read More### Graphing an Integral (B.Stat 2005 Problem 2)

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 …

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