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, […]
In 2018, we are introducing Math Circle memberships. The members have exclusive access to: Weekly live and online Doubt Clearing sessions Exclusive access to Problems and Solutions for I.S.I. & C.M.I. Entrances, TIFR and Math Subject GRE (not available on our general website) Monthly problem lists on school and college mathematics Timely information packet on […]
The most beautiful equation in mathematics is: It is often attributed to Swiss Mathematician Leonhard Euler. Interestingly enough, this is nothing but a statement about rotation! 23 is a shorthand way of writing 2 × 2 × 2. But this is very very different from what means. Mathematicians use this trick over and over again. They overload notations. In fact is a […]
This is a video in which you would learn Graphing an Integral. This is the third part of the video. It is taken from ISI B.Stat 2005 Problem 2. Watch, learn and enjoy the video.
This is a video in which you would learn Graphing an Integral. This is the second part of the video. It is taken from ISI B.Stat 2005 Problem 2. Watch, learn and enjoy the video.
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 real x. Sketch the graph of f(x). What is the minimum value of f(x)? Here is the first installment of a discussion on that. Part 1 Part 2 [button url="https://cheenta.com/graphing-an-integral-part-2/" class="" bg="" hover_bg="" size="0px" color="" […]
In this post, let's learn about the multipole expansion of a potential with the help of a beautiful problem and find the constant.
TIFR 2015 Problem 7 Solution is a part of TIFR entrance preparation series. The Tata Institute of Fundamental Research is India's premier institution for advanced research in Mathematics. The Institute runs a graduate program leading to the award of Ph.D., Integrated M.Sc.-Ph.D. as well as M.Sc. degree in certain subjects. The image is a front […]