AM - GM Inequality and Minimum Value | ISI BStat BMath Entrance 2015 Objective 5
Join Trial or Access Free ResourcesJoin Trial or Access Free ResourcesIn this video we discuss the Arithmetic Mean-Geometric Mean (AM-GM) inequality and its application to find minimum value of an algebraic expression. We use a problem from the ISI BStat BMath Entrance exam 2015 which involves finding the minimum value of an expression, demonstrating algebraic manipulation without AM-GM inequality.
We look at the relationship between AM and GM and use the fact that the arithmetic mean is always greater than or equal to the geometric mean. We also explore a geometric interpretation of the AM-GM inequality using the example of lengths forming a circle's diameter.
Publishing original scientific research in a peer-reviewed journal is an achievement many scholars work toward for years. Achieving this feat early in one's academic journey requires exceptional intellectual rigor, creativity, and persistence. Aaditya Punatar and Muskan Sadana have reached this remarkable milestone, successfully publishing their collaborative research paper in the prestigious Journal of Emerging Investigators […]
Her project on quantum-accelerated Steiner trees for 15-minute cities earned a place among the finalists at the world's largest pre-college STEM competition. Prishaa Shrimali of Marymount School of New York, was selected as a Grand Finalist at the 2026 Regeneron International Science and Engineering Fair (ISEF) in Phoenix, Arizona. Her project was Optimizing Urban Accessibility: […]
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's M.Stat Entrance. They ranked within the first 50 in the entire country in these entrances. I.S.I. M.Stat Entrance
In 2026, the following Cheenta students have been successful for Indian Statistical Institute's B.Stat Entrance and Chennai Mathematical Institute's B.Sc. Math Entrance. They ranked within the first 200 in the entire country in these entrances. Most of these students attended the problem solving workshops regularly, which happen 5 days every week. CMI B.Sc. Math Entrance […]