mathematicalcircles

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Tuesday, 27 September 2016

A Global Search for Undiscovered Mathematical Talent


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Monday, 12 September 2016

The Spirit of Ramanujan


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Labels: mathematical olympiad

Sunday, 4 September 2016

19th Junior Mathematical Olympiad (conducted KVS, New Delhi)


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Define \(f: \mathbb{R} \rightarrow \mathbb{R}\) by \[f(x)= \begin{cases}(1-\cos x) \sin \left(\frac{1}{x}\right), & x \neq 0 \\ 0, ...

  • A list of five two-digit positive integers is written in increasing order on a blackboard. Each of the five integers is a multiple of 3, and each digit 0,1,2,3,4,5,6,7,8,9 appears exactly once on the blackboard. In how many ways can this be done? Note that a two-digit number cannot begin with the digit 0.
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  • Vedansi Chakraborty
    In an idle moment, Vedansi Chakraborty picked up two numbers x and y such that 0<x<y<1. She wondered how to combine these simply...
  • maximum possible number of distinct colours used
    To each element of the set S = {1, 2,............, 1000} a colour is assigned. Suppose that for any two elements  m & n of S, if 15 di...

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