The Idea: Modular arithmetic provides a way to understand Pythagorean Equations. In the following videos we will explore the process.
The Idea: Modular arithmetic provides a way to understand Pythagorean Equations. In the following videos we will explore the process.
Try 3 levels of Math problems that seem easy, yet it is intense. Challenge yourself and your friends with these problems. Level 1 - Easy - 10 points The first problem is something that is somewhat elementary. From a biased coin(a coin where the probability of heads is not 1/2) how can you generate two […]
In I.S.I 2014 Problem 2 we have tried to solve a problem using the idea of barycentric coordinates.
Understand Choose your course and download the Problem List document. The assignment page link is also added. You may submit the solutions there. This will constitute 50% of your monthly grade. Math Olympiad Early Bird (India) Number Theory Problem List (Early Bird) Link to Assignment Page (only registered users may access) Chemistry Olympiad Program Thermodynamics […]
Cauchy's functional equations are very simple. The most familiar one has a simple formula: f(x + y) = f(x) + f(y) But first, for the uninitiated, what is a functional equation after all? What is a functional equation? Usually, functions appear as formulae. For example ( f(x) = x^2 ) is a function. It takes […]
Lets look at Indian National Math Olympiad 2018's Problem 6 which can be solved as an application of Cauchy's Functional Equation.
This post contains problems from Indian National Mathematics Olympiad, INMO 2017. Try them and share your solution in the comments. INMO 2017, Problem 1 In the given figure, \(ABCD\) is a square sheet of paper. It is folded along \(E F\) such that \(A\) goes to a point \(A'\) different from Band \(C\), on the […]
This post contains problems from Indian National Mathematics Olympiad, INMO 2016. Try them and share your solution in the comments. INMO 2016, Problem 1 Let \(ABC\) be triangle in which \(AB=AC\). Suppose the orthocenter of the triangle lies on the incircle. Find the ratio \(AB/BC\). INMO 2016, Problem 2 For positive real numbers \(a, b, […]
It is almost like deflating a balloon. But the effect is exponential. Today (29th January 2018, Monday), we have a special concept building cum problem-solving session on Contraction of a function. When 10 PM I.S.T. (29th January 2018) Where: Online (link will be posted in Cheenta Commons, Open Slate skype group) […]
This post contains problems from Indian National Mathematics Olympiad, INMO 2018. Try them and share your solution in the comments. INMO 2018, Problem 1 Let ABC be a non-equilateral triangle with integer sides. Let D and E be respectively the mid-points BC and C A, let G be the centroid of triangle ABC. Suppose D, […]