A geodesic is a locally length-minimizing curve. In the plane, the geodesics are straight lines. Let's learn about it with the help of a video.
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.
Try this beautiful problem from Geometry: Ratios of the areas of Triangle and Quadrilateral from AMC-10A. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on real numbers. Use sequential hints if required.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Digits and Integers.
This is a beautiful problem from ISI MStat 2016 PSB (sample) Problem 1 based on area bounded by the curves. We provide a detailed solution with the prerequisites mentioned explicitly.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Complex numbers and Sets.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1990 based on Consecutive Positive Integers.
Try this TOMATO problem from I.S.I. B.Stat Entrance Objective Problem based on a derivative of Function. You may use sequential hints to solve the problem.
Try this beautiful Logarithm Problem From Singapore Mathematics Olympiad, SMO, 2011 (Problem 7). You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2017 based on Sides of Quadrilateral. You may use sequential hints to solve the problem.
This is a beautiful problem from ISI MStat 2016 PSB (sample) based on Vectorspace . It uses several concepts to solve it . We provide detailed solution with prerequisites mentioned explicitly .