Media Summary: Solving an unusual functional equation from Solving a trigonometric equation. We consider three cases separately, making various estimations along the way to deduce theĀ ... Proving an inequality with cosines. This problem is rather easy if you know the formula for cos(x ā y). This problem was takenĀ ...
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Solving an unusual functional equation from Solving a trigonometric equation. We consider three cases separately, making various estimations along the way to deduce theĀ ... Proving an inequality with cosines. This problem is rather easy if you know the formula for cos(x ā y). This problem was takenĀ ... A beautiful number-theoretic problem from Solving a functional inequality. We make use of a symmetry we notice, and then we show that our function must be constant on theĀ ... Instructor: Jasiah Azmain Facebook Id Link: Website Link: Ā ...
Finding all pairs of functions satisfying given functional equation, given additionally that one of them should be strictly monotonic. Showing a crazy-looking divisibility from the Showing that 3āæ ā 2āæ is almost never divisible by n. We use Fermat's little theorem as well as well-known fact about the greatestĀ ... This is a difficult problem from the 2012 Hello everyone so this is the hong kong tst 1994 the This problem could easily be solved by approximating each radical but approximation was the only thing you were not allowed toĀ ...
